diff --git "a/data/dm_maths/full_data/1189_11255.jsonl" "b/data/dm_maths/full_data/1189_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1189_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f(u) = 45*u - 21. Let r be f(6). Suppose -r - 255 = 4*s. Let w = s - -223. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.124 (b) 7 (c) -4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 42*a**2 - 20*a + 260. Give z(42).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 7181771 + 7923029 = 0. What is x rounded to the nearest ten thousand?\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6573, 4019, 1465, -1089, -3643?\nAnswer: -6197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 47*w**2 - 36*w + 586. Calculate r(-48).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 712728 and 432.\nAnswer: 4276368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315 and 93?\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/6 - 13*r**3\/6 + r**2\/2 - 1279*r. What is f(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 3*a + 1. Let w be f(-3). Let h = 0 - -8. Let s(l) = -l + 12. Let d be s(h). What is the greatest common factor of d and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {r: 5, n: 4, c: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46 + (-8)\/40 + 28\/(-10). Let z = -37 + b. Let d = 5 + 0. Solve -21 = d*j - z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkmmmmkmkk. What is prob of sequence mkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40986 - -1229459\/30. Find the common denominator of (38\/3)\/((-1)\/(-3))*(-97)\/(-4656) and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.5, 0.3, 3, 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71294397 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 67. Let w be n(-26). Solve 0 = -w*i + 21 - 81 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 47 = 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 2*v**3 - 3*v**3)*(1 - 3 + 4) + 3*v**3 - 5*v**3 + 0*v**3 + 0*v - v**3 + 0*v + 0 + 0 + 2*v**3 + 2*v.\nAnswer: -5*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 222322 (base 4) to base 8\nAnswer: 5272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 6*w + 5*d = -1715, -3*d - 1373 = 4*w. Let s = w + 421. What is the remainder when 381 is divided by s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777332 is divided by 3664?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20624*o**2*w**2 + 3*o**2*w - 3564*o**2 + 2*o*w - 2*w wrt w?\nAnswer: 41248*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (4*6038\/4)\/(-54 - -56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128\/7 + 4\/7*t**2 - 8*t.\nAnswer: 4*(t - 16)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1. Let r(g) = 2. Let i(m) = 7*q(m) + 3*r(m). Let l(n) = -3 - 3 + 1 - n. Calculate 4*i(o) - l(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 q when three letters picked without replacement from ffsstq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 3, t: 1, e: 4, v: 1, l: 1}. What is prob of sequence xe?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10102201 (base 3) in base 14?\nAnswer: -cab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -25*v**4\/8 + 71*v**3\/6 - 47*v**2. Differentiate h(k) wrt k.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -45 - (2 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56617, 55861, 54605, 52849, 50593, 47837, 44581?\nAnswer: 40825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -121*n**2 + 13*n + 17. Let o(r) = 30*r**2 - 3*r - 4. What is 6*k(h) + 26*o(h)?\nAnswer: 54*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 2*m**2 - 3*m + 4. Let j(p) = p**3 - 5*p**2 + 5*p. Let v be j(4). Calculate the remainder when w(4) is divided by (-345)\/(-27) - v\/(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16 = 5*h, u - 5*u = -3*h - 60. Suppose 3*c + u = 6*c. Find the common denominator of 57\/2 and 23*2\/c - (-2 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-8)*(g**(-1\/3)\/g)**(36\/5) assuming g is positive.\nAnswer: g**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.728474 nanograms?\nAnswer: 0.000000004728474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(5\/6)\/h)\/h*h**(1\/2)*h**(2\/3)*h**8)**(-19\/5) assuming h is positive.\nAnswer: h**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1442, -666, 1478, 5686, 12654?\n\"Answer: 116*u**3 - 12*u**2 - 1546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g**4*g*g**4*g**0)\/((g*g\/g**(2\/7))\/(g**2\/g)*g*(g\/g**4)\/g*g**(2\/3)*g) assuming g is positive.\nAnswer: g**(76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 13, 5, -5, -17, -31, -47?\n\"Answer: -i**2 - 3*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19206, 38423, 57688, 77025, 96458?\n\"Answer: 4*p**3 + 19189*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2248\/10678)\/(66\/57)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 4*m + 4. Let z(q) = q + 1. Let k = 15 - 16. Give k*t(c) + 4*z(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107419*t**5 - 6*t**2 - 1658*t.\nAnswer: 6445140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbiqbi. What is prob of sequence qbq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215176212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + 3 + (-5 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34246587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 + -10 - (-38 - -60)) + 2 + (3 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 957 + -521. Suppose -4*f + 1371 - g = -5*r, 3*f + 4*r = 740. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60135366933*i - 6*i**3 - 60135366933*i.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.78*0.27.\nAnswer: 0.2106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55095 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-20))\/((-4)\/(-20)))\/((-3)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 > 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6 and -64\/519.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 11.0899?\nAnswer: -77.6293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11))**(2\/17)\/(s**8\/(s\/s**(-12))) assuming s is positive.\nAnswer: s**(931\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = 4*f + 5*u, -13*f = -18*f - 5*u + 545. Solve -f*w + 128*w + 90 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443561 (base 7) to base 15.\nAnswer: -1824e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41601 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -397, -757, -1103, -1429, -1729?\n\"Answer: y**3 + y**2 - 370*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 16*f - 115. Solve 0 = q - 3*b + 7, -12 = q - f*b - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3266960 - 3266961 - 6*z**2 + 18*z**2.\nAnswer: 12*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (sqrt(30) + ((-3*sqrt(30) - sqrt(30)) + sqrt(30))*3))\/(4*(sqrt(6)*1 + sqrt(6) + sqrt(6))))**2 - -5*1*3*(sqrt(245) + -1)**2.\nAnswer: -210*sqrt(5) + 59085\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*t - 271*t + 1080*t - 262*t - 281*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 0.08, 0, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/5)\/(9\/(-5) - -2). Let d = -30 - g. Let c(i) = 13*i**d - 2*i**2 - 4*i**2 - 9*i**2. Let u(f) = -3*f. Calculate u(c(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4850794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 35780?\nAnswer: 572480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26342 is divided by 13149?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - -8) + 1\/(-1). Suppose -5*b + u + 31 = 0. Solve -p - b = -6*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/765, -495, 5?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30313 (base 4) in base 16?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1590, -12831, -43334, -102729, -200646?\nAnswer: -346715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 11:42 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383499 + 613708 = 11972*c - 43777 + 214916 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 336?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 2.6\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15773\/7548 + 4\/629. What is the common denominator of 87\/8 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18592951?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 19*o**2 + 8*o + 11. Suppose -56*u = -52*u - 48. What is the least common multiple of u and a(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1162 - -717.8. Let z = b - -444. What is the smallest value in -0.1, -2\/3, z, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3\/(-9)) - -19. Let m = v - 12. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*((-35)\/(-50))\/(-7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + 14\/(-15). Let y = 101 + -101.3. Sort o, y, -3 in increasing order.\nAnswer: -3, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380178?\nAnswer: 2, 3, 21121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - 4*(-1 + sqrt(180)))**2 - (-5 + (sqrt(180)*-2)**2).\nAnswer: -144*sqrt(5) + 921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 41. What is the remainder when 37 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256512 and 2304?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 12 - 3 = 5*m, 0 = -5*f + 2*m + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -81. Let i(l) be the third derivative of 3*l**2 + 0*l + 0 + 4\/21*l**s + 3\/140*l**6 + 4\/21*l**3 + 1\/10*l**5. Suppose i(j) = 0. What is j?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-80)*525\/(-28)*-4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 40\/39 (c) -5 (d) 5 (e) 2 (f) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + a**2 + a + 1. Let f(c) = 7*c**3 + c**2 + 3*c + 7. Let w(x) = -f(x) + 3*k(x). Give w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866.1461 weeks in days?\nAnswer: 6063.0227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/10)\/3)\/(329\/(-235))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3\/6 + 369*u**2\/4 - 185*u - 3853. Determine d, given that p(d) = 0.\nAnswer: -370, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214.\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 2*t**6\/5 - 4*t**5\/5 - t**4\/3 + 4*t**3\/3 + t. Factor q(c).\nAnswer: 4*c*(c - 1)**2*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + 5*t**2 + 567*t + 483. Let r(g) = -2*g**3 + 2*g**2 + 283*g + 242. Let o(a) = 2*h(a) - 5*r(a). What is the derivative of o(w) wrt w?\nAnswer: -6*w**2 - 281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(35\/(-110) + 2\/(-11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scc when three letters picked without replacement from cccccscccsscscscsc?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4\/3 + 176*z**3\/3 - 700*z**2 + 1176*z.\nAnswer: -4*z*(z - 21)**2*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -0.3. Let x(i) = -3*i - 1. Let m be x(1). What is the nearest to o in 0.8, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 10*p = 6. Suppose 0 = -0*s + p*s + 66. Let k(m) = m**3 - 8*m - 7. Let q be k(s). Round q to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + a + 2*a)*(-2*a + 5*a - 5*a - 1 + 1 + 5*a - 6*a + 3*a + 4*a + (0*a + 3*a - a)*(-3 - 2 + 4)) to l*a**2 + p + d*a and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 113 = -7. What is the highest common divisor of 16 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4)*(3 + 4 - 5)*(-6*f - 4*f - 9*f) + 12*f - 9*f + 33*f in the form m*f + r and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 201*z - 1349*z + 13776 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 - 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 48, 92, 154, 234?\n\"Answer: 9*w**2 - w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30*(-20)\/(-250))\/((-2)\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -465 - 7130.\nAnswer: -7595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q**2 - 3*q**2 + 21*q**2 - 6*q**2. Let f(x) = -68*x**2 + 17*x - 17. Let i(g) = 23*g**2 - 6*g + 6. Let b(k) = -6*f(k) - 17*i(k). What is b(p(a))?\nAnswer: 68*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16730*r - 16720. Give f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259 and 6818?\nAnswer: 252266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1169011.2 to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 219*v**2 + 10*v + 2207. What is a(-219)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1298*f**5 - 316*f - 10 wrt f?\nAnswer: 25960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 8:04 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -6, 3, -2\/9, -1, 189\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.028 in 2\/19, 35, -2, -23, -1\/3, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 1325\/9. Let v = -3 - -2.8. What is the second smallest value in d, -2, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2621 in 3\/8, -0.7, -2\/3, 1\/5, -0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 10*q - 5*h - 2120 = 0, -q - 4*h = -2111. Suppose -34*t + 36*t + c = q, -c = 3. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*x + 2. Let t(m) = -m**2 - 12*m - 35. Let j be t(-7). Solve n + r = -2*n - x, j = 4*r + 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:34 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d1c41 (base 15) to base 8.\nAnswer: -26637356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 880 + -871 + (0 - 50) + (-6 - (5 - 10))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 + 26415*u**3 - 13228*u**3 + 6 - 13178*u**3. Let p(t) = 10*t**3 - 5*t**2 + 7. Let z be (3\/2 - 0)*-4. What is z*p(j) + 7*c(j)?\nAnswer: 3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*c - 10\/3 + 5\/3*c**2.\nAnswer: 5*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/32 + (-2010)\/(-56). Let x = f - 35. Let b = x + 4\/21. Are 2\/3 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2039 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*k - 12, -3*k - 7 = n - k. Solve 0 = n*d + 3*x, 1 = d - x - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430089.\nAnswer: 3, 11, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 235. Suppose -o - 4 = 0, -6 = -i + o - 26. Let r = y - i. What is the remainder when r is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 9?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 1, e: 1, r: 2, x: 1, w: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180673006?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*a + 38533 = 20829 - 26916 for a.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (1*sqrt(17))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (-3 + sqrt(448) - sqrt(448)))*2)**2.\nAnswer: 192*sqrt(7) + 1828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/9 - 6*g**3 + 64810*g**2\/9 + 574718*g + 5107600\/9 = 0. What is g?\nAnswer: -113, -1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, w: 13}. Give prob of picking 4 g.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244947108.\nAnswer: 2, 3, 7, 29, 193, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 14*a**2 - a. Let c be n(1). Let y = 15 - c. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/(-21))\/(((-4)\/(-4))\/(-1)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((0 + sqrt(300) - sqrt(300)) + 0)*3)**2*-1*2 + -3.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 344700, 689380, 1034056, 1378728, 1723396, 2068060, 2412720?\n\"Answer: -2*j**2 + 344686*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 0 - 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 0.29, 2, 1138?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16200388 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2412 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/13 + 262*t**2\/13 + 4204*t\/13 - 66240\/13 = 0?\nAnswer: -23, 10, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1300, 2603, 3906, 5209, 6512?\nAnswer: 7815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 times 1.2?\nAnswer: 277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67)\/((-6700)\/(-8)) + (-946)\/50?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3321 - -33100?\nAnswer: 41421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 4 = -13*k. Suppose -5*q - 3*b + 0*b = -33, 0 = -k*q + 3*b + 48. Let i be (2 + (2 - 3))*0\/q. Solve i*o = j + 4*o - 6, 5*o + 5 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161*q - 1047 + 1047 to d*q + w and give d.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**4\/24 - c**3\/3 - 35*c**2. Give w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1413, -1388, -1387, -1422, -1505, -1648?\n\"Answer: -2*v**3 + 39*v - 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -16*s**7\/7 - 2*s**5\/5 - 12*s**4 + 11*s**3\/3 - 49*s**2\/2 - s - 4675. What is the third derivative of w(l) wrt l?\nAnswer: -1920*l**3 - 48*l - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.1 - -19.1. What is the fourth biggest value in 0.1, -0.5, n, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18690502?\nAnswer: 2, 1187, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, 124, 287, 516, 811, 1172, 1599?\n\"Answer: 33*f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/9730 and 27\/142058.\nAnswer: 710290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*q - 55 = 5, -2*q - 8 = 0. Suppose 514*c - 502*c - p = 0. Are c and -26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*h**3 - 30*h**2 + 30*h**2 + (6 - 22*h - 6)*(-2*h**2 + 3*h - 3*h).\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -28*a**3 + 5*a**2 - 132*a - 2. Let v(c) = -16*c**3 + 3*c**2 - 66*c - 1. Give 3*n(u) - 5*v(u).\nAnswer: -4*u**3 - 66*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-3*y + 4*y + 2*y)*(5*y - 2*y - 4*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 19 - (-4 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -2, -18, -11, -46, -3 in descending order.\nAnswer: 3, 2, -2, -3, -11, -18, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t = -15. What are the prime factors of t\/(-9) + (-28)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2 + 3820*o. Let g(x) = -1590*x**2. What is u(g(z))?\nAnswer: -15168600*z**4 - 6073800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2459 and 17213?\nAnswer: 17213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15016)\/4 - -4)*(-493440)\/3. Suppose -3*w + v = 5*w. Suppose -88*m = -85*m - w. Round m to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*5)\/(sqrt(4) + sqrt(100)*-3) + 1.\nAnswer: -5*sqrt(19)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/6 - m**3\/3 + m**2\/2 - m. Let t be (1 - -2)\/(-12*(-6)\/96). Is a(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.2 + 21.7. What is the biggest value in 0, -5, m, -7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1086843 - -19.\nAnswer: -1086824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = 30*j + 25. Let n be 1*((-10)\/3 - -2). Put j, -0.1, n in ascending order.\nAnswer: j, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -127\nAnswer: 25.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 + 546. Suppose 27 = y - 3*d - 106, u = 3*y + 4*d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from kijjjjekjjede?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 0, 63*v - 60*v + 5*l - 15 = 0. Sort -1329, 1\/9, v in descending order.\nAnswer: v, 1\/9, -1329","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(1*(-8)\/20). Let l(n) = -2*n**2 + 8*n - 10. Suppose k + 0 = -1. Let j(m) = 6 - 21 + 16 - m. Give c*j(x) + k*l(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 5, -3, 0.6, -3\/2, -11?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80277?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1927, 1947, 1967, 1987, 2007, 2027?\nAnswer: 2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlttlffltfqqtvt. What is prob of sequence ql?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 0, -76, 149.\nAnswer: -76, 0, 2, 5, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 8, 5\/4, -2, -3, -0.013, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frpxfxpkpfrfppk. What is prob of sequence kkr?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 2002 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-3332)*(-399)\/38?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(700) + 3 + (2 + (sqrt(700) - -3*sqrt(700)*-2 - sqrt(700) - sqrt(700)))**2.\nAnswer: -300*sqrt(7) + 34308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 7) to base 8.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004867582128 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 n when three letters picked without replacement from wwwnwwwwwwnnnninnw?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3863 (base 15) to base 11\nAnswer: -9036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 12. Let p be 8 + -2 + -27 + 17. Give q(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 49 = -5*u - 16, 0 = 4*g + 5*u - 7. Suppose -104 = -16*c - 24. Suppose -c*t = -5*p + 35, -t - 47 = -14*p + 9*p. Is g bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 4, j: 1, q: 2}. Give prob of sequence bjqq.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21741 - -3?\nAnswer: -21736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6*o + 60. Suppose -f = -o*f + 126. Is 13 a factor of 52\/8*(1 + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 49*g**4 - 6*g**3 + 6*g**2 + g + 16. Let h(c) = c**4 - c**3 + c**2 + 1. Let s(i) = 6*h(i) - w(i). What is the second derivative of s(m) wrt m?\nAnswer: -516*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -401*j**5*x - 6639*j**3*x**3 + 2*j**2*x**3 - 8*j**2*x**2 - 277*j**2*x - 2*j**2 - 4*j - 1 wrt j?\nAnswer: -24060*j**2*x - 39834*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:09 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 176642 and 0.4.\nAnswer: 176642.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304116078?\nAnswer: 2, 3, 7, 7240859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-4)*1)\/((-3)\/88). Let u = j + -63. Let t(n) = 8*n**3 + 2*n**2 + 5. What is the tens digit of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 + 202.9. Let a = q - -68. Round a to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8407 is divided by 255?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.5, 2\/3, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -226 - -226.5. Put b, 57, 2\/9 in decreasing order.\nAnswer: 57, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-f + 0*f + 2*f)*(-3 - 5 + 1).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woonaawnwllu. What is prob of picking 1 o, 1 n, and 2 a?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkakskskzs. Give prob of picking 2 s and 1 k.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 158. Let n = -1420\/9 + r. Is 75 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 8575879.\nAnswer: 4\/8575879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 1. Let p(b) be the third derivative of b**5\/60 - b**4\/6 - b**3\/6 + b**2. Let y be ((-18)\/(-24))\/(2\/8). Calculate y*r(m) + p(m).\nAnswer: m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + 0)\/(6 + 9849\/(-1645))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 49539707?\nAnswer: 396317656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 7:39 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1452 + 597. List the prime factors of y.\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (51 + -66)*7768\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, 0, 1 in descending order.\nAnswer: 1, 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 187*u - 274*u - 383*u + 2 + 0*u**3 + u**3 - 3*u**4 + 4*u**4 to the form p*u**3 + b*u**2 + v*u**4 + s + i*u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -87. Suppose 0*h + 4*h - 8 = b*v, -v + 5*h = 6. Sort v, 1, 2, -2.\nAnswer: -2, v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 16*t**2 - 7*t - 1. Let d be r(-8). Suppose d = 3*j - 23. Calculate the greatest common divisor of j and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2 - 2. Let h(b) = -b**2 + 5*b - 4. Let d be h(4). Let l be a(d). Let v = l - -9. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:42 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/2145 and 11\/39.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275046 is divided by 6877?\nAnswer: 6843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9314083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) + 24\/10. Let f be c\/9 + 30\/(-135). Suppose q - 291 = -3*w - f*q, w - 90 = 2*q. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 1633 = 4*q + 821 + 840, -2*q - 20 = 2*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 24 = -5*y - 9, -2*b - 4*y + 12 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 17*i - 28. Let x be a(10). Sort -24, 4, 1, x in ascending order.\nAnswer: -24, 1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.665 + 130.565. Let b = v - 121. Let g = b + -6.8999953. What is g rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 39*w + 3*l = 25, -2*l + 22 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 10. Let m be h(-10). Suppose 4*x = 8 - m. Solve -4 = -2*v - 2*i - 2, 2*v - 2*i - x = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkbhckhcknkkkckhkuhc. What is prob of sequence kbkh?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1321845227 and -5.\nAnswer: 1321845222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 149*q - 148*q + 17.\nAnswer: q + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 238056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000903584 to five dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7\/12 (b) -23 (c) -0.4 (d) 5 (e) -3 (f) 0.2 (g) 5.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/21*(-315)\/90*(-6)\/40?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.3. Let u = 0.7 - 0.7. Let q = u + s. Is q > -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56368762\/215 + -70473975083\/269610. Let w = 788 - s. Let y = w + 3901\/418. What is the common denominator of 46\/11 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from {z: 4, g: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1476591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 11 = -173*b + 175*b, -2*b + 2 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 16*s - 32*s + 2*s**2 - 5*s**2.\nAnswer: -3*s**2 - 49*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 78 and 59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-510)*-115)\/(1\/(-6))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 365551100 to the nearest 100000.\nAnswer: 365600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((11 - (5 - 0)) + 9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.077, 0.056, 16, 0.08?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -671, -670, -669?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7*602\/(-129)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 3*t - 3. Let k be p(-3). Calculate the common denominator of 1\/k + 134\/60 and 3\/(-90)*-381 - 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 5*n - 9. Let v be s(8). Let g(k) = k**3 - k + 30. Let r be g(0). What is the highest common divisor of v and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 32*f + 16. Let i be y(-17). Let v(l) = 56*l + 5. Let d be v(3). Let o = i - d. Is o a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16528, 38 in ascending order.\nAnswer: -16528, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - q - 4. Give f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from othhhhsw. Give prob of picking 1 h, 2 o, and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6141336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42137501\/270 - 156065. Find the common denominator of -113\/90 and t.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9*(-27)\/(-18)*10*6\/(-140)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**2 + 27*o - 231. Let y be d(-9). Sort -5, y, 5, -4 in ascending order.\nAnswer: -5, -4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*x - 1232 - 1930 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 23*l**3 + 469*l**2 + 432*l - 21. Let g(b) = 11*b**3 + 235*b**2 + 216*b - 12. Let u(j) = 4*a(j) - 7*g(j). Determine r, given that u(r) = 0.\nAnswer: -72\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 834 + 26*q**2 - 8*q**2 - 834. Let t(h) = -2*h. What is t(d(x))?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = z + 8, 4*d + 17 = z + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -120, -105, -74, -21, 60, 175?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**3 - 2*f**3 + 7*f**3 + (-15 + 15 + 6*f)*(f**2 - f + f) as t + n*f**2 + m*f + h*f**3 and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 9\/4, 4, 0.3, 1, 586 in increasing order.\nAnswer: -4\/9, 0.3, 1, 9\/4, 4, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 131531 - 11005. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 36. Let x be t(19). Let u(q) = q - 3. Let f be u(5). Let i be 2\/(f\/5*1). What is the greatest common divisor of i and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2197762\/42 + (-1)\/(-3).\nAnswer: 2, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 47 = -f - 269, -2*z - 3*f = -300. Suppose -z = w + 3*w. Let y = -19 - w. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 145 - 385 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354410.\nAnswer: 2, 3, 5, 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 436 + 402 = -7*i - 7*r, -9*i - 17*i = -21*i + 5*r - 115 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 18 = 5*t, -12 = g + 4*t - 3. Let f(b) be the second derivative of 0 + 1\/3*b**3 + g*b + 0*b**2. Let h(k) = 4*k. Determine h(f(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 55797359 divided by -1237\nAnswer: -45107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1358036 by 2908.\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 8 (c) -1\/1856\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 382 = -52. What is the smallest common multiple of r and 66 + -1 + (2 - 3)?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 11:22 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - -8. Let d be b\/8 - (-1)\/2. Let o be (-2)\/(4\/(-24)*d). Solve -o*m - 10 = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 2) + 1\/(-1). Let i be ((-4)\/(16\/12))\/y. Suppose 0 = -i*m - 2*w + 8, 3*w = 5*m + 4*w - 18. Solve 3*f + 4*u = -24, -m + 27 = -5*f - u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696*d + 665*d = -6293. What are the prime factors of d?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and -3 - (-500)\/24 - 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 15. Let z(u) = u**3 + 11*u**2 + 19*u - 58. Let n be z(-7). Let l(r) = -3*r + 10. Calculate n*g(k) + 7*l(k).\nAnswer: 4*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 + 4*b - 1. Let g be f(4). Find the common denominator of (-44)\/(-9) - ((-1)\/1 - g) and -145\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 71*n**6\/30 - n**5\/20 - 83*n**2\/2 + n - 195. Differentiate g(t) wrt t.\nAnswer: 284*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29469599?\nAnswer: 2131, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3\/4, -0.5, -2\/13, 0.1 in descending order.\nAnswer: 3\/4, 0.1, -2\/13, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j = r - 65, -5*j = -4*r + 175. Let i = r - -28. Suppose 9*t - 8*t = i. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1436267 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 1 r when three letters picked without replacement from urujupvpjdp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 2, z: 1, j: 7, d: 2}. Give prob of picking 1 d, 1 f, and 1 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*l + 97 = 183, 0 = 3*s + 8*l - 53 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 165.5 and 12448.54455.\nAnswer: 12614.04455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67307?\nAnswer: 67307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49736, -49735, -49734, -49733?\nAnswer: -49732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29842561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**3 - 4*j**2 - 2*j - 2. Let h(w) = -21*w**3 - 13*w**2 - 7*w - 6. Let n = -914 + 907. What is n*t(p) + 2*h(p)?\nAnswer: 7*p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c - 7. Let a be d(5). Suppose -3*q = -a + 19. Suppose -3*b - 88 = -2*n - b, q = -b. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1375866.3 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 123 = -27*o - 14*o. Suppose 43 = 4*s + 11. Suppose -5*t - 4 = -2*z - 4*t, -4*z = o*t - s. Solve -z*m + 5 + 3 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*j + 2, 0 = 4*j + 1 - 5. Solve -5*y = -2*w + p + 9, -16 = 5*w - y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166.90448 - -183.603718. Let j = u - -0.301282. Let s = 17 - j. Round s to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 2*u**2 - 3*u**3 + 13 - 8 - 38 to m*u**3 + o*u + p + g*u**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4 + 232*m**3 + 25996*m**2 - 52672*m + 26448 = 0?\nAnswer: -58, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**4 + 10*u**4 + 13*u**2 + u + 158 - 2*u**3 - 156 + (3 + 2 - 2)*(-3*u**4 + u - u) as g*u**2 + d*u**4 + i*u + m*u**3 + o and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 7*z**2 - 10*z - 2. Let o be p(-5). Let x be 19\/7 - o\/7. Solve -28*c**4 + 8*c - 4*c**3 + 15*c**2 - 4*c**x + 13*c**2 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -348, -464, -670, -990, -1448, -2068, -2874?\nAnswer: -3890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345365 (base 8) to base 4.\nAnswer: 130223311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.086529699?\nAnswer: -0.0173059398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 37, 75, 127?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60787 (base 10) to base 14.\nAnswer: -1821d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -554 - 2?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 460903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 4. Let l be n(-5). Suppose -4*b + 8 = -0. Suppose 2*v + b*v - 5*i = 15, 0 = v - i - 3. Does v = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 2. Let v be h(6). Suppose 0*n = 4*n - v. Calculate the remainder when 29 is divided by 16 + 0 - 2\/n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1221?\nAnswer: -1\/1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h - 100 = -50*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2366016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t. Let c be (28\/(-13) - 4\/(-26)) + 6. Suppose 5 = -c*l - l + 5*n, l + 5*n - 17 = 0. Let w(z) = 3*z**2 - 5*z**l + z**2. What is w(k(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + -14 - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.2. Let p = -0.2 - l. Let t = -4 + 1. Put p, t, -0.1 in descending order.\nAnswer: p, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2. Let z be f(10). Let h = 3898\/13 + z. Put 3, h, -3 in descending order.\nAnswer: 3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 35*b - 161*b = -4800. Calculate the greatest common divisor of b and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6 + -6a76?\nAnswer: -6b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 104 = 4*j. Let h be 0\/(-4) + 1*13. Suppose 2*w - 5*u - h = 0, 3*w - 3*u = 6*w - 9. Solve 3*z - w = -4*v - z, 2*z + j = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 - 10*z + 51 - 49 - z**2 - 4*z**2. Let w be u(10). Which is bigger: w or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 421992025 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000 (base 2) in base 4?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 10303131131301?\nAnswer: 10303131131302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-62)\/(-22878)*(-5*(-2)\/5)\/4\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 y, and 1 c when four letters picked without replacement from gkgyglckggckkglgckgl?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.92924 millilitres in litres?\nAnswer: 0.05592924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 2. Let k be a(3). Suppose -7*u - 25 = -18. Let l be 0\/(u\/(-6 + 5)). Sort 2, k, l in descending order.\nAnswer: 2, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-48)\/(-15)) + (-2032)\/(-635)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.07. Let p = 76 - -329. Let a = -410 + p. What is the closest to 0.2 in a, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8250 and 880?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 119*r + 33*r - 17*r + 71 + 61 + 33 wrt r.\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**2 + 10*c**2 + 3*c**3 - 18*c - 4 - 8*c**2. Let d(h) = h**3 + 4*h**2 - 6*h - 1. Let n(q) = -8*d(q) + 3*x(q). Calculate n(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65496?\nAnswer: 2, 3, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:46 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150221245 is divided by 15022123.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 - 115*l + 67*l - 88*l. Give f(34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 1. Let z be 9\/(-45) - 42\/(-10). Let h be -7 + (-2 - z\/(-4)). Let j be o(h). Solve 3*n + 3*k + 9 = 0, 4*n - j*k + 3*k - 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201121 + -101202?\nAnswer: 1022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.71013 + -54740624\nAnswer: -54740623.28987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 53. Give l(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238.6596 + -48.405. Let x = n - 190.1. What is x rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 + 10 = 0. Let i = n + -6. Let p be (-10)\/i*(1 - -1). What is the greatest common divisor of p and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 204*o**2 - 380*o - 588.\nAnswer: -4*(o - 49)*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -42*a + 41*a + 8, -f = -4*a + 71. Solve k - 60 = -2*t - 51, a = 5*k + 3*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 43047066.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4851438 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/5)*c*c**(-1\/5)*c**(-12)\/c**11 assuming c is positive.\nAnswer: c**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 104, 90?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67038009?\nAnswer: 3, 22346003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from kzzwzwzwwz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-309 + 309)*(4 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -109363, -109258, -109139, -109000, -108835?\n\"Answer: a**3 + a**2 + 95*a - 109460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -1.943?\nAnswer: 17.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 4 (b) 0 (c) -4.52 (d) -2\/7 (e) -5\/2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -1 (c) 1 (d) -3 (e) 27.2285 (f) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 700 = -4*f - 0*f, -2*f - 1420 = -4*m. What is the remainder when m is divided by 92?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 - 14*m**2 + 3*m + 1. Let y(b) = b**3 + b**2 + b. Determine q(t) - 5*y(t).\nAnswer: -2*t**3 - 19*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:32 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*g**3 + 43*g**3 + 5 - 94*g**3 - 5.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 207, 211, 201, 171, 115, 27?\n\"Answer: -f**3 - f**2 + 14*f + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 + 6)*(-3*p - 2*p + 7*p).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4741\/4 - 3975\/4. Let l = 192 - j. Determine a, given that 0*a**3 + 3\/2*a**2 + 0 - a - l*a**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99230 = 5855*y - 50771 + 56931 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 - 2*m**2)*(4*m**2 - 4*m**2 - 2*m**3) + 2*m**5 + 2*m**5 - m**5 + (0*m**2 - m**2 - m**2)*(-m**3 + 0*m**2 + 0*m**2).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 749.24, 0.89 in decreasing order.\nAnswer: 749.24, 0.89, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5572, -11142, -16712, -22282, -27852, -33422?\n\"Answer: -5570*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8050 - 8045. Sort 2, 33, m, 0, -2 in decreasing order.\nAnswer: 33, m, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91806 < 91806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-3\/4)*i))\/((i*i**0)\/i)*i\/i**(-5)*i**(-3)*(i*i**1*i*i\/i**(1\/14))**(-2) assuming i is positive.\nAnswer: i**(-115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9 - (-14 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/582 and -131\/6?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 57*y + 20. Let m be j(14). Let v be 5*(1 - (-9)\/(-15)). Solve m = -l - v*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 760, 2, 4.\nAnswer: 2, 4, 15, 760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8782.768um to kilometers.\nAnswer: 0.000008782768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 29*z**2 + 162*z + 26. Determine r(20).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + g**3 + 8*g**3 + 3*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.2 - -7.51. What is v rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58539*j - 58889*j - 19029 - 7571 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*n + 83*n + 237173. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*g + 103 - 100, -g + 3 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4) + (-4)\/8. Let k be (-3 - 0)*(-9 + (-148)\/(-16)). Which is the nearest to -0.2? (a) -3 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -14*t - 166. Let h be r(-13). Let q(o) = o**2 - 4. Let v be q(0). Let k = h - v. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/62868 and 57\/98696?\nAnswer: 9178728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 + s - 6. Let k be i(6). Let n be (-1 + (k - 1))\/(-2). Let x(c) = 6*c**3 + 1. Let o be x(-1). Put -4, n, o in ascending order.\nAnswer: o, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*u**2 + 4*u + 282*u**2 - 6*u + 61*u**2 - 52*u**2 in the form v*u**2 + q + l*u and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 659*y + 15693. Determine v(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/188895 and -82\/147?\nAnswer: 188895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, y: 12, z: 1}. Give prob of sequence ybyy.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + (sqrt(264) - 1*sqrt(264))\/sqrt(6) + 5)**2.\nAnswer: 20*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - -3995. What are the prime factors of u?\nAnswer: 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 12*v + 11. Determine b(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q + 4*m + 8, 5*m - 9 = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffnj when four letters picked without replacement from jnnjfnjjjjfnnjjj.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 463.9?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 2*q - 3. Let r(l) = l**2 - 2. Let z be r(-3). Suppose 4*s = c + z, -6 = -5*c + 19. Calculate o(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 137718?\nAnswer: -137712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 + 4*l - 1. Let o be y(-5). Let q be (-15)\/3*o\/10. What is the units digit of q\/3 + 11\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227 divided by -4.\nAnswer: -227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 11 + -11 + 54 + -25\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093744?\nAnswer: 2, 197, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 786305221 to the power of 1\/2, to the nearest integer?\nAnswer: 28041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:30 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:37 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -904*r**3 + 348*r**2 - 1104*r**3 - 348*r**2.\nAnswer: -2008*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1142, -2, -9 in descending order.\nAnswer: 1142, -3\/4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306897 or -306906?\nAnswer: -306906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1101131 millennia to months.\nAnswer: 1321.3572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 755741 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 832018 * 0.02\nAnswer: 16640.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2. Let s be -10*4*(-4)\/40. Let k(w) = -6*w + s*w + 0*w. Calculate k(p(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + ((sqrt(325) + -5 - sqrt(325)) + 4)**2 + 3*(-3 + sqrt(325)) + sqrt(325) + 1.\nAnswer: -14 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 4017.\nAnswer: 44187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2850696*q. Let y(f) = -4*f**2. Give g(y(u)).\nAnswer: 11402784*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 20 = 7*s. Let l(a) = -7*a + 3. Calculate l(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199012 divided by 12.\nAnswer: 49753\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101 + -1301?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -745\/2? (a) 2 (b) -0.1 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759 is divided by 121.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28208827*m**4 - m**3 - 69091358*m**2 wrt m.\nAnswer: -677011848*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/24)\/(42\/((-1344)\/80))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 11 + -12 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8465383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3134, -3, 0, -116, 2, 4 in descending order.\nAnswer: 3134, 4, 2, 0, -3, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1518 - -1517.2. Which is the third smallest value? (a) l (b) 4 (c) 0 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**4 + 3*m**4 + m**4)*(4 + 3 + 0) + 15*m - 16*m + 2*m**4 - 18*m**4 as d + o*m**2 + y*m**3 + w*m + j*m**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0917 - -0.088. What is q rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Suppose x + 5*o + 8 = t, -x + 22 = -o + 6. Suppose 0 = 4*q + q - 110. What is the remainder when q is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 0 (b) 0.2 (c) 1\/42 (d) 2 (e) 5\/2 (f) -280\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6135629 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39483152?\nAnswer: 2, 29, 85093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 17 - 1 = 5*l, -5*l + 31 = -2*f. Sort f, -26, 5 in decreasing order.\nAnswer: 5, f, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -56. Sort -8, o, 2.\nAnswer: -8, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o - 16*o - 5 + 4 + 1.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/2 + 2584214*u**2 + 6678156829365*u\/2 - 6678167166225 = 0.\nAnswer: -2584215, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2\/8 + 81825*t\/2 + 163653\/2 = 0. Calculate t.\nAnswer: -2, 109102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92097.79m to nanometers.\nAnswer: 92097790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r**2. Let q(k) = 2*k - 89. Let f(s) = 2*s - 81. Let y(h) = -7*f(h) + 6*q(h). Give y(m(p)).\nAnswer: -28*p**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 m when four letters picked without replacement from {s: 7, m: 2}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1505 + -1502. Solve -4*x - 2*h = -7*h, 0 = -v*x - 3*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 11*a - 24 = -9*a, 3*b = 5*a + 15. Calculate the remainder when 138 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 4:50 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*d - 44 = d, 11 = w - 2*d. What is the highest common factor of w and 567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233015811 a multiple of 2586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i - 3 = 3*m, 0 = 5*m + 5*i - 35. Let r(s) = 3 + 4*s**2 + 6*s + 7*s**2 - m*s**2 + s**3. Let a be r(-6). What is the biggest value in 4, a, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93a452 (base 11) to base 16.\nAnswer: -16ffa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n - 2*n - 2*n - 4 - 5*n. Let h(i) be the first derivative of i**2\/2 - i + 1. Let f(s) = -a(s) + 4*h(s). Let z(l) = -2*l. Give z(f(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 8*p + 21. Let c be v(4). Suppose 0 = 13*b - c*b - 2232. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010010001000101111101 (base 2) to base 10.\nAnswer: 11080061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 3, l: 2, x: 1, v: 2, d: 1}. Give prob of sequence il.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 - 1301*k**2\/5 - 9863*k\/5 - 4606\/5.\nAnswer: (k - 658)*(k + 7)*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -901307\/4 + 223609. Let w = i + 8606\/5. What is the common denominator of -23\/4 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + l**3 + 29*l**3 - 12*l**3 - l**2.\nAnswer: 23*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 3357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 415646\/8 + ((-369)\/(-36) - 11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, 2, -2 in decreasing order.\nAnswer: 2, -2, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**2 - 22*s**2 - 22*s**2 + 91*s**2 - 18*s**2.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 16*r - 123. Let v be t(44). Suppose 5*g - j = 1027, -299 = 4*g + 5*j - v. Calculate the greatest common divisor of g and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 4 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 153, -228, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 0 - sqrt(2057))*-3 + -4 + (sqrt(816)*-1 + sqrt(816) + sqrt(816))\/((sqrt(18)\/sqrt(2))\/sqrt(3)).\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 19. Determine l(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-4)*783\/(-406).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288.9999956 - -289. What is d rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4*1)\/(1 + 1). Put x, 5, -5 in increasing order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 58. Calculate y(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36100831 * 0.5.\nAnswer: -18050415.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*r = -r + 13, 6 = -3*m - 3*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/81060 and -71\/1162875.\nAnswer: 897739500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, -5, 3, 1\/161, 3623, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4158)\/5544*(-32)\/(-30).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + 27?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53498 and 0.1.\nAnswer: -53497.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - -19. Suppose 68 = 2*b - y. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 560 + -559. Let v = -8 + 4. Let t = -3 + v. Put a, t, 3\/2 in decreasing order.\nAnswer: 3\/2, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 1812*k**2 + 164218*k + 162408.\nAnswer: 2*(k + 1)*(k + 101)*(k + 804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, t: 1, b: 1, v: 4, p: 2, y: 2}. What is prob of sequence by?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202222 - 2012?\nAnswer: 200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 60, 6*z - 5*g + 15 + 72 = 7*z + 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 11 - 7 + 0*g + 5*g. Let q be r(8). Let a be (27\/(-18))\/(3\/q). Solve a*y + 0 - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*j + 5*q, j + 79*q = 75*q + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -48 + 48. Put 19, -4, k, 27 in increasing order.\nAnswer: -4, k, 19, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*i = 6*i - 41, 10 = 2*m - 3*i. Suppose -14*c + 6 = -m*c. Solve c*o - 24 = -4*u, -5*u + 7 + 9 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 2*q + 76928*q**2 - 3*q + 7*q**4 - 77035*q**2 to the form o*q + c*q**2 + l + m*q**3 + w*q**4 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 4 (b) -261715 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 7:47 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 486919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.12, 18.26, 0.008?\nAnswer: 18.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l**2 - 3*l**4)*(3 + 1 - 3 + (2 - 2 - 4)*(3 - 3 - 2) + 4 - 3 + 0).\nAnswer: -30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 + 119 = 5*i. Suppose 4 = v + 4*n - 13, 3*v + n = i. Let t = 152 - 148. What is the remainder when v is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 40*h + 177. What is r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let o = 23 - 15. Suppose -v*q = -o*q. Solve 3*p + q = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 1460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3)*(-1 + 1 - b**5) + (-7 + 17 - 12 + 4*b**2)*(0*b**3 + 3*b**3 - 2*b**3).\nAnswer: 5*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.5284 centuries in decades?\nAnswer: 1365.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -57 + 5 + 28 + 8 + -53\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 10:34 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5419507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*u - 27 = 0, 2*x + 0*x + 4*u = 8. Suppose 0 = 2*z + 4*h - x + 4, 4*z - 4 = 4*h. Is (z - -52)*2\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -18467.9484165.\nAnswer: -18471.9484165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -32. Let v be ((-2)\/(-3))\/((-94)\/(-8319)). Let k = v + p. Calculate the lowest common multiple of 4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6142 - 6159. Suppose -v + 4*m + 21 = 0, 0 = -3*v - 0*m - 2*m + 49. Let l = r + v. Is 50 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {l: 6, v: 7, z: 2, q: 2, b: 1}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*l + 52 = 0, v - 170*l - 13 = -171*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -263, -257, -247, -233, -215, -193, -167?\n\"Answer: 2*c**2 - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -216, -323, -430, -537, -644?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1480 and 103369960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*c + 14, -4 = 3*o - c - 4*c. Suppose -2*r - 5*q = -3, -r + q = -10 - o. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 241 + 85. Calculate the remainder when y is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5828)\/(-6) + (-7)\/21. Let i = -180 + g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/2 in -0.057, 15, 0.6?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 776.\nAnswer: 1\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g + 4 - 5 + 11 + 0. Let a be v(1). Solve -2*x = j - 15, -j - 4*x = a*j - 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/17)\/o**(14\/11))**(-4) assuming o is positive.\nAnswer: o**(1216\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2874\/5? (a) 93 (b) 3\/5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -23*c + 57*c + 5 - 442*c. Is l(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -428315.\nAnswer: -4\/85663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/3 - 8*y**2\/3 + 2*y = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 5*g, -g + 4*g + 2*f - 6 = 0. Suppose -c + j = -398, -5*c + j + 3*j + 1992 = g. Round c to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 0*g**6 - 27\/7*g**7 + 0*g**4 + 0*g**2 - 27*g**3 + 0*g - 77 + 0*g**5. What is the third derivative of x(y) wrt y?\nAnswer: -3240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/75816 and -53\/3.\nAnswer: 75816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10156 - -10342. Calculate the greatest common divisor of 42 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -w - 3*w. Let c = -16 - w. Let s be (-1 - c - 2)*-3. Sort 1, s, -5 in ascending order.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6438 + 13811. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z. Solve 0 = -4*h - z*h + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + 33\/36. Let l(q) = q**3 + 8*q**2 - 4*q - 29. Let v be l(-8). Which is the second biggest value? (a) 0.5 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 394 and 3.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 133921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*c + 5 - 10 + 4)*(0*c**2 - 6*c**2 - 3*c**2) to the form u*c + n*c**3 + d + y*c**2 and give n.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188676 is divided by 5540?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 + 820\/(-50)) - 7\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -31.97. Let r = -0.03 - a. Let j be (2 + (-15)\/9)\/(54 + (-654)\/12). Sort r, -5, 11, j.\nAnswer: -5, j, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/12 + 9*k**4\/8 - 3*k**2. Find the second derivative of j(f) wrt f.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52 or 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 50 = -2*m, 0 = 2*m - 3*q - 23 - 32. Let v = -91 + 93. Suppose -a = -2*a - 1, -c + 5 = v*a. What is the remainder when m is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + 2*r**2 - 2*r + 4. Let d(i) = 7*i**3 - 5*i**2 + 4*i - 9. Let k(c) = 9*b(c) + 4*d(c). What is k(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 699545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1447*n**4 + 1778*n**4 - n - 117*n**3 + 118*n**3 - 2 - n**2 as x + d*n**2 + h*n**4 + a*n + o*n**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(140) + sqrt(140) + (sqrt(140) - -2*sqrt(140)) + sqrt(140))*3)\/(sqrt(405)*-2*1).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, -36, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1005938 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 659 times -0.034\nAnswer: -22.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1237323 (base 8) to base 6.\nAnswer: -11211255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -5 - 1\/1. Let d(h) = f - 1281*h - 2718*h - 1. Let c be d(-3). Round c to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 18 = -11*p. Suppose -p*x + 100 = -4*x. What is the smallest common multiple of x and 10*1 - 2\/(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3 + -2) - -4. Let t be z*1*(-2)\/6. Which is the closest to -1\/2? (a) -2 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -5*l**2\/2 + 5*l - 34. Suppose -f = -b - 1, 5*f + 16 = -0*b - 2*b. Let w be s(f). Solve -4*p = -w + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3816741 (base 9) to base 4\nAnswer: -13323120232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2232)\/2480)\/((-33)\/(-5060)*-2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*f**3 + 3361*f**3 + 2270*f**3.\nAnswer: 5362*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**2 - 53. Let i(b) = 43*b**2. Give i(u(h)).\nAnswer: 172*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/15*39\/(-364).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 52. Put n, -2, -1, 4 in descending order.\nAnswer: 4, -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1)*(-1 - 7). Let a = 87 - u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145 + 292. Suppose y = -0*i + 4*i + 5*m, -2*i + 72 = 2*m. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 214, -5.\nAnswer: -5, 1, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1413 - 5705\/4. What is the common denominator of 31\/18 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*v - 2*d + 1, 24 = v - 4*d. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -20 + -1 - 2 - -2. Let z be (-1)\/j + 2\/(-6). Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 - 12*m**2 + 8*m + 1. Let x(z) = -z**3 - 4*z**2 + 3*z. Let y(r) = 2*d(r) - 7*x(r). Let i be y(4). Does 4 divide i*(-3 + (-7)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 7*i**2 + 3*i - 3. What is o(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p - 1175*p**3 + 22*p - 183*p**3.\nAnswer: -1358*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827432 is divided by 318.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*((-1 + sqrt(1539))*-4*5)**2.\nAnswer: -57600*sqrt(19) + 4928000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*n - 9, -3 = -5*k - 3*n - 12. Let c(t) = -6*t + 745. Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1946)\/(-35) + 7 + 2\/5. Calculate the highest common divisor of 378 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 3*o - 3*o - 3*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/4925 + -507203\/59100. Calculate the common denominator of s and -37\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) 0.4 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 553*r**3 - 12*r**2 - 3*r + 9. Let z(x) = -x**3 - 4*x**2 - x + 3. Determine -2*u(d) + 6*z(d).\nAnswer: -1112*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1900, 2, -0.1, 0.2, -2\/5 in descending order.\nAnswer: 2, 0.2, -1\/1900, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 204512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = 5*n. Let z(k) be the third derivative of k**5\/60 - k**4\/12 - k**3\/6 - 2689*k**2. Calculate z(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -10, 5, 8, -7, -46, -115?\n\"Answer: -q**3 + 3*q**2 + 19*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 754972.9781 + -1041119.97766. Let m = z - -286153. Let f = -6 + m. Round f to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t + 4*t, 3*z + 5*t = 22. Solve -15 = -m - 3*p, 5 = 5*m + z*p - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/18705416 and -85\/56116248.\nAnswer: 56116248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -57 + (103 - 84) - (0 - 2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**39*z)\/z**(-15\/8) assuming z is positive.\nAnswer: z**(335\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1 + (-6)\/3. Let x be (-1 + h)\/(-3 + 1). Solve 0 = -2*n + v + 2 - x, 0 = -3*n - v + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 955 - 946. Suppose 0 = 4*o - 3*d + 146, 4*o - 5*d = -0*o - 150. Let s be 252\/o*(-10)\/4. What is the greatest common factor of j and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-64)\/16 - (1 + -8). Suppose -83 = -a + 3*f, -2*f - 33 - 230 = -p*a. What are the prime factors of a?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 982529.3 minutes?\nAnswer: 58951758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403510 divided by -480702?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0 - 1\/15*p**3 + 1\/150*p**5 + 0*p**4 - 2*p**2 + 0*p. Factor r(m).\nAnswer: 2*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*z**4 - 9*z**4 - 46*z**4 + 86*z + 99*z - 45 + 210*z**3 + 20*z**5 - 15*z**5 - 290*z**2.\nAnswer: 5*(z - 9)*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/26))**(-10)\/(o*o**(4\/13)*o*o**(2\/79)) assuming o is positive.\nAnswer: o**(-12271\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**22 assuming k is positive.\nAnswer: k**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-40)\/(h**(1\/49)\/h)*(((h*h*h*h*h**24)\/h)\/h*h)\/(h\/(h\/(h*h**9))))**(-9\/2) assuming h is positive.\nAnswer: h**(9711\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 5265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42546888018080 - -6.\nAnswer: 42546888018086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9183648 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 304033844 divided by -120124\nAnswer: -2531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 104*v - 10 = 105*v, -110 = -3*x + 11*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 4765*d + 182514.\nAnswer: -(d - 38)*(d + 4803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + (-60 - -60) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 - -134) + (-9 - (-3 + 3)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/24 + 2*x**3 + 18*x**2. Calculate the remainder when y(7) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 0*o**4 - 2*o**4 + (-5 - 4*o + 5)*(-o**3 - 4*o**3 + 2*o**3) - o**4 - 2*o**4 + o**4 - 5*o**4 - 6*o**4 + 0*o**4.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 11. Let a = 106 + -128. Let s(g) = -1. Give a*s(t) - 2*n(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 476076, 476254, 476430, 476604, 476776?\nAnswer: 476946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -90.7. Sort 0.4, -5, 3\/2, m in descending order.\nAnswer: 3\/2, 0.4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094676 rounded to three dps?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + 15. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74819683.017 - 504.5\nAnswer: -74820187.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1123850 by -561925.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43\/1170 - 2\/585. Put -2, -1\/4, 2, h in decreasing order.\nAnswer: 2, h, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**4\/2 + 8*l**3\/3 - 8*l - 1. Let m(s) = s**2 - 1. Let p = -49 + 55. Let t be p\/(-4)*208\/(-39). Calculate t*m(w) - q(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.115213 rounded to 2 decimal places?\nAnswer: 6.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9080.53528 to the nearest integer.\nAnswer: 9081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551874383?\nAnswer: 17, 32463199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 10:29 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 40. Let a be 3\/((-42)\/(-18082)) - (-18)\/42. Suppose p - f = a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = 2*b, -2*b - n + 23 = b. Suppose -4*w = -92 + 24. Let t = w - -7. Solve 4*r + 1 - 5 = -5*x, r - b*x = -t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 53*d - 3 = -56*d, 2*r - 30 = -4*d. Put -1, 5, -2, 56, r in ascending order.\nAnswer: -2, -1, r, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 33, 61, 97, 141, 193, 253?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1431503221 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8*o + 15. Let s(r) = 0*r + r - 6*r**3 + 1 - r**2 - o. Is s(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -701, -703, -705, -707?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-900)\/(-3000))\/(5\/(50\/(-24))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o**2 - 721*o + 2721. What is a(-61)?\nAnswer: 2050","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-1))\/(6 + -5). Suppose -u*b = -b - 12. Solve 2*w - b*d + 25 = 2, 2*d = 4*w + 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -88, 3, -24788, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 924004 greater than 924004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28995?\nAnswer: 3, 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b + 27. Let w = b - -11. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 + -4 + -11)\/(3 + -1). Which is smaller: -23 or b?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 44. Let r = -32 + h. Let m = r + 12.1. What is the nearest to 1 in -0.4, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 9*n + 5. Let r be f(-9). What is the closest to 1\/4 in 1, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2623, -12577, -29865, -54487, -86443?\nAnswer: -125733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-7*z + 0*z - 4*z).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.572332 nanograms in milligrams?\nAnswer: 0.000000572332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 49 (b) -1 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125766000*n**2 + 84776905*n.\nAnswer: -251532000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 11228*k**2 + 430996*k + 4108180.\nAnswer: -4*(k - 2845)*(k + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 + -147. Suppose -3*c - 2341 = -s*a + 2*a, 594 = a + c. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3008 + 3792. Suppose 0 = 4*g - 3*w - t - 2923, -3178 = -2*g - 4*w. What are the prime factors of g?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1098 and 89\/8.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-132)*-1)\/(((-81)\/189)\/(24\/21))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**4\/8 - 7*b**2. Let w(h) = 2*h**2. Determine w(p(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -46\/13, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*r + 95323 - 37748. Suppose -50 = 5*f - r. Let t be 0 + 26 - (0 + 1). Calculate the highest common divisor of f and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 99*h**3 + 49*h**3 + 29*h**3 - 2 + 26*h**3 + 2*h**2 to the form w*h**3 + v*h + o + t*h**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6315 - 1656*l - 6315 as r*l + c and give r.\nAnswer: -1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 14*w**2 + 18734*w + 149743. Determine g(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -10. Let a be 1*(4 + n\/3). What is the first derivative of 1 + 2*k + 3*k - a*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -5*d + 89. Suppose 546 = -d*i + 10*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-2*q + 0 + 0) + 3 - 3 + 5*q + 0*q + 0*q + q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3941870?\nAnswer: 2, 5, 394187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -427, 1, -1, 6, -5 in increasing order.\nAnswer: -427, -5, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -254*x + 1277. What is m(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x + 17. Let t(c) = 2*c - 17. Let d(m) = 3*n(m) + 2*t(m). What is the first derivative of d(i) wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 73.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109 - 110) + -2 + 3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30\/41 (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -39, -371, 12 in increasing order.\nAnswer: -371, -39, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831.\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, u: 6, n: 1, b: 1}. Give prob of picking 3 a and 1 n.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -23*r + 1. What are the prime factors of j(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-107)\/(65056\/192))\/((-11)\/2299)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 l when three letters picked without replacement from shlbelas.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.428134l to millilitres.\nAnswer: 5428.134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2853.3 + 215.3. Which is the second biggest value? (a) -3 (b) l (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/11*t**2 + 0*t + 0 + 2\/11*t**3.\nAnswer: 2*t**2*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12660 and 1291320.\nAnswer: 1291320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5248.0004671 - 5248. What is r rounded to 5 dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6378 is divided by 425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u + 66 = 19*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from fiqnf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 3*q + 3*q)*(-1022*q**2 - 3512*q + 3512*q) in the form w + i*q**3 + u*q**2 + v*q and give i.\nAnswer: -2044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336981?\nAnswer: 3, 112327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/5 + 66*y**2\/5 - 191*y\/5 + 126\/5 = 0. Calculate y.\nAnswer: 1, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 262600683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1 + 0 + 2*w - 2 + 1. What is the tens digit of v(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20426, 20494, 20608, 20768?\nAnswer: 20974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 4*z**4 - 2*z**4 + (-8*z + 11 - 11)*(41 + 12*z**3 - 41).\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 212, -5, -79, -3 in decreasing order.\nAnswer: 212, 9, 2, -3, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/170*(-30)\/4*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(162) + 0)*-2)**2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*b - 2*y + 3*y, -3*b - 12 = -4*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/2128099 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88385.\nAnswer: 5, 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 24*b**2 - 94*b + 708. Determine x(21).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - l + 4 = l, 4*b - 4*l = -24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8ab96 (base 12) to base 9.\nAnswer: 311526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dththhtkkkt. What is prob of picking 1 h and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = b, 3*q + 0*q + 58 = b. Let u be -3*((-10)\/q)\/(-5). Let o = 0.8 + 0.2. What is the closest to o in 1, u, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 + 2*y + 25. Let v(o) = -2*o**2 + o + 17. Let n(q) = -5*i(q) + 7*v(q). Calculate n(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 3433\/4799, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13347 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/342 and 1\/35739.\nAnswer: 71478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -4, 3, 21\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55940*a*f**3 + 3*a*f**2*l**3 - 2*a*f**2*l**2 + 18*a*f*l**2 - 4*a*l**2 - 4*f**3*l**3 + 265*f**3*l - 49132*f**2 wrt f.\nAnswer: 335640*a - 24*l**3 + 1590*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(128)) + 3)**2 - (sqrt(16)\/sqrt(8) + sqrt(2) + -5 + (sqrt(72) - 2*sqrt(72))**2).\nAnswer: 46*sqrt(2) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u - 1. Suppose -9 = 8*c - 1. Let l(z) = 5*z**2 - 3*z + 3. Let k(b) = c*l(b) - 3*v(b). Let a(m) = -45*m**2. Determine a(k(x)).\nAnswer: -180*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h - 8*h + 30*h)*(0 - 4 + 1).\nAnswer: -111*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f**3 + 2008*f**2 + 168*f + 47029. What is d(201)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15 - 0.02. Let i = f + 0.17. Put -3, i, 1\/6 in ascending order.\nAnswer: -3, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 17. Let g be l(-13). Suppose -h - 3 = g*x, 2*h + 2*h - 2*x = 42. Let c(j) = 2263*j - 1134*j - 1130*j + 11. Determine c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 0 (b) -5 (c) -3 (d) -23219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkwwkwaowwfkaawka. Give prob of sequence kafa.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.85 and -55.\nAnswer: -651.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jju when three letters picked without replacement from llrrlljlrrlrurlru.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 4 - 16 = 0. Suppose 3*m + 4 = -u*x + 4*m, -16 = 4*m. Let r be (4\/6)\/(-1) - x\/(-3). Sort 0.2, 0.8, r.\nAnswer: r, 0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {x: 2, w: 8, c: 2, l: 1, v: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1005 + 1005 + 312024*w.\nAnswer: 312024*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(133) + sqrt(133))*-1)\/(sqrt(7) + (sqrt(847)*2 - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m - 592 = -120*m + 631*m + 12380 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 4*o + 208, -1568*w - 1924 = -1569*w - 37*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6445, -2, 17\/4, 0.3, -3.\nAnswer: -3, -2, -0.6445, 0.3, 17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (16\/(-4))\/1. Find the third derivative of 29*p**4 - 87 - 8*p - 90 + 177 - d*p**6 - 3*p**2 wrt p.\nAnswer: -360*p**3 + 696*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n - 4*n - 8*n - 404*n**2 + 18*n to the form b + o*n + t*n**2 and give t.\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 t when three letters picked without replacement from {b: 2, y: 1, j: 2, p: 1, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n - 15*s - 25 = 51*n, -5*n - 2*s = 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*u + 0*u = -10, 0 = 2*a - 2*u - 4. Solve a*l - 10 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 63 - 33 = 0. Solve 2*g + 4*w = 7*g + 5, o*w + 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 0 + 2 - -7. Let n = 99 - 94. Calculate the highest common factor of q and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(2\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, w: 1, c: 2, q: 1, h: 1}. Give prob of picking 2 c and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2811*p - 2*p**2 - 134 + 460 - 326 as x*p + q*p**2 + r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 17*f - 8 + 8*f - 12*f. Let a be j(8). What is a rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 163, 242, 321, 400, 479?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-3)*(-54)\/(-8). Suppose -4*n + 3*t + 5 = 0, -t + 4 - l = -2*n. Solve -3*q = 5*m - 12 - 20, 5*q - 40 = -n*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1406 or 5625\/4?\nAnswer: 1406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 9.16. Let p = i + 0.1. Let q be -2 + (0 - -3 - -3). Put p, -2, q in descending order.\nAnswer: q, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 4 - -1) + (-1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -31a?\nAnswer: 31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 12 = -3*g - 150, 0 = -4*x + 2*g + 80. Suppose f - 3*i = 2*f - 24, 0 = -4*f - 5*i + 103. What is the highest common factor of x and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -1 - (27 - (116 - 76)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + f - 20 = 0, -12*m + 8*m - 13*f = -36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-15) + (-152)\/(-10). Let h = 59 + -42. Suppose d*x = h*x - 110. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b*h**3 + b*h**2 - 10*b*h + 13*h**2 + 9*h wrt h.\nAnswer: 48*b*h + 2*b + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -712 + 4712. Suppose -2*x = -x - n. Round x to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 202 + -112. Let r = x - 41. What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/45 - 3\/(-5). Let o be 18\/27 + 13\/3. Let z = 0.1 + -0.1. What is the closest to x in o, 3\/5, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(225))\/(sqrt(25)\/sqrt(20)).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*y = -87, 2*y + 13 - 78 = -3*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(27)*-6 + sqrt(3)))\/(sqrt(960)\/sqrt(12) + sqrt(5) - sqrt(45)\/sqrt(81)).\nAnswer: -3*sqrt(5)\/238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(((-30)\/(-6))\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.019 in -2\/3, 0.1, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -623, -4892, -16431, -38858, -75791, -130848?\nAnswer: -207647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 5, 3, -2 in decreasing order.\nAnswer: 6, 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4287957 + 2?\nAnswer: -4287955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-35) + 3)*-7 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 1 - (-6 + 4)) + 229 + -223\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110101?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -5. Let v be (1 + 1)\/(6\/u). Find the third derivative of -2*p**2 - v*p - 2*p**5 + 3*p wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 6*r - 3. Let z be j(-7). Suppose -595 = -5*m + 4*i, 206 = 2*m - z*i - 20. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**6\/15 + 404*n**5\/5 - 712*n**4\/3 - 242*n. What is the third derivative of f(g) wrt g?\nAnswer: -48*g + 9696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.388, -76, 1\/609, -4?\nAnswer: 1\/609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + 1. Suppose -5*c - 2*p + 15 = p, 5*c - r = p. Suppose -45 + c = -d. Round d to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31189*z + 93433*z - 31205*z + 8*z**2 - 31039*z.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135770 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.016 + 0.0048. What is r rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 10:05 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*u = 4*u + 142, -5*l + 4*u = -646. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(10) + sqrt(60)\/sqrt(6)))\/(sqrt(1331)*3).\nAnswer: sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1749594.\nAnswer: 2, 3, 7, 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 5*x - 8. Let g be o(4). Let q = -48 - g. Find the common denominator of ((-4)\/(-15))\/(q\/(-102)) and -56\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)\/(o**(-1\/14)\/o))\/(o**(-4)*o*o**(2\/69)*o) assuming o is positive.\nAnswer: o**(-10585\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295705 to the power of 1\/2, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - p + 0*p - 5)*(3*p**2 - 4*p**2 - 4*p**2).\nAnswer: 5*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1445343 (base 6) to base 8\nAnswer: 244277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q + 144. Suppose t = 2*t - 17. Calculate the remainder when q is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 1 - 1)*(2*y**2 - y**2 + y**2) - 99*y**3 - 4*y**2 + 101*y**3 - 3*y**2 to u*y + p*y**3 + t + x*y**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 9:10 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 74*m - 1017 = 40*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -9907061.\nAnswer: -13\/9907061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l + (-2 + 2 - l)*(3 - 5 + 0))*(0 - 6 + 9)*(-2*l**2 - 2*l + 2*l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -2. What is the derivative of 21*r + 3 - l*r - 4*r - 6*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.56 + 26.\nAnswer: 15.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21013037611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, 8 in descending order.\nAnswer: 8, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 3*w + 3. Let h be t(-6). Is -4*((-10)\/h)\/(4\/(-6)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2, -165, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 459668 = 15*g. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 9*x**4 - 15*x**3 + 6*x**2 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/60 + (-6)\/9. Let u = 0 + 0. Suppose 2*t - 2 = -4*y + 6, u = -5*y - t + 13. Which is the second biggest value? (a) -0.3 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - k + k)*(-2 + 1 + 0) + 0 + 1706853*k + 0 - 1692850*k to the form b + i*k and give i.\nAnswer: 14005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 7*u - 7. Let z be i(4). Suppose 0 = -7*j + 6*j + z. Let n(k) = -k + 6. Determine n(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 7*h**2 - h + 9. Let g be o(7). Suppose q - 5*i = 0, -5*i - 3 = g*q - 48. Let s = -10 + q. Solve 3*p = -3*w + 3, 5*w = p + 2*p + s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1729 + -1724. What is the nearest to -1 in 17, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 9*d + 5. Suppose -3 = -3*n - 0*n, 0 = -3*v - n + 28. Let y be x(v). Solve 4*i - 2*h + 12 = 2*h, 0 = y*h - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 791, 749, 673, 557, 395?\n\"Answer: -v**3 - 11*v**2 - 2*v + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013011 rounded to 6 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 take away 0.09?\nAnswer: -501.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/60 - o**4\/8 + o**3\/2 + 3*o**2. Let n be b(2). Let l(u) = -7*u + 10. Is l(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -760574.1 less than -13063407?\nAnswer: -12302832.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 17*w**2 - 2*w - 12. Let g(t) = -16*t**3 - t**2 + t - 1. Let s be g(1). Let f be y(s). Suppose 93 = l + f. List the prime factors of l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -16) + ((-24)\/9 - 1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881912828 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 184740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 74.\nAnswer: 10\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455.38 + -14718253.\nAnswer: -14717797.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1573))*4 + sqrt(1573) + (2 + sqrt(1573))*6 + 0 + 5)**2*-6.\nAnswer: -1142004 - 1452*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3*k + 1 + 4)*(-k**2 + k**2 + 2*k**3).\nAnswer: 6*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 703, 5243, 17511, 41371, 80687, 139323?\n\"Answer: 644*j**3 + 32*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i - 2 - 1 - 17*i. Let o be f(-6). Suppose -5*m - 2*v + o = 70, 4*m - 5*v - 97 = 0. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 92?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3330*t - 3325*t - 20, -4*t = -m - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*v + 200. Suppose -70 = -3*s + s. Calculate the remainder when s is divided by (-2)\/(-3) + v\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.093.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 897*d**3 - 5*d + 6*d + 14*d + 381*d + 898*d**3 to r*d**2 + x*d**3 + j*d + k and give j.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwr when three letters picked without replacement from rrfccfsw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (20874\/980*5)\/(3\/(-2))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 11 + 27 = 0. Suppose -l*w = w - 10. Let i(c) = c. Let r be i(4). Solve w*n + 0*n = r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5911 (base 12) to base 7.\nAnswer: 1563361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 - 89 = 0. Calculate the greatest common divisor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02088 or 3832?\nAnswer: 0.02088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m, 5*u = m + 11 + 11. Let h = -4 + u. Suppose -4*a - h + 0 = t, -3*t - 3*a + 6 = 0. Solve 2*s + t*z + 14 = 0, -2 = 2*s - 3*z - 0*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25504 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2065 + 2069. Which is the third biggest value? (a) 0.55 (b) s (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 142*j + 41. Let t be b(17). Suppose t = 7*l - 2438. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200 divided by -408?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9999571 and 0.02.\nAnswer: -199991.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364428 is divided by 301.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4795896 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40.249 and -0.059?\nAnswer: 2.374691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8218400 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 99?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Suppose p - 112 = -3*u, j*u = 4*u - p - 83. Let c = -28 + u. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-1)\/3). Let y(d) = f - 3*d - 5 - d**2 - 2*d. Suppose -3*q - 8 = k, -3*q - 13*k + 9*k = 14. Give y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 h when four letters picked without replacement from haphhhrhhrhhp?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01409 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 + -396. Let l = j + 368\/3. Suppose -1 - 5 = -3*q. Which is the smallest value? (a) 4 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 12 = 0. Let f = n - 8. Let t = 2 + f. Solve -3*h - h = t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 54*k**2 + 3*k + 6. Let p(a) = 55*a**2 + 4*a + 8. What is 3*p(b) - 4*v(b)?\nAnswer: -51*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/10)\/(5\/25). Suppose p + 4*k = 8, -a*p + k + 7 = -4. Suppose -j = -p*j + 27. Calculate the greatest common factor of j and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -11, -5, -0.06, 12\/2291?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 679 = 4*p - 8485, 0 = p - a - 2291. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2022?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -770586, -770575, -770554, -770523, -770482?\n\"Answer: 5*r**2 - 4*r - 770587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from {n: 1, w: 1, v: 2, f: 1, e: 2, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*m - 32 = 6, 4*d - 80 = 5*m. Suppose 3*c - 36 = c. Suppose 3*k = 4*r + c, -4*k - r + 24 = -5*r. What is the highest common divisor of d and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 - t + 1. Let z be a(-3). Let u = z - 28. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 times 0.3?\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*t + 6 + 44, 5*i - 5*t + 55 = 0. Let a = i - -15. Solve -4*q = -12 - a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420990696?\nAnswer: 2, 3, 7, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 481*g**3 - 52459*g**2 + 1323021*g.\nAnswer: -g*(g - 21)*(g + 251)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49376 and -3.\nAnswer: -49379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 8, 2*q - 13 = 5*k - 46. Solve -4*o + 3*l + 0 = -1, -25 = k*o + 5*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 367982 and 2546328.\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812163184 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - 5*n - 10. Let p(a) = 2*a**2 - 2*a - 4. Let g(j) = -2*f(j) + 5*p(j). Let h(i) = 73*i. Determine h(g(r)).\nAnswer: 146*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 7. Let u be z(5). Suppose y - 5*s - 17 = 0, 0*y + 2 = 2*y - 2*s. Let h be ((-3)\/(y\/(-10)))\/(2 - 4). Put u, -2, 3, h in descending order.\nAnswer: h, 3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*u - 1948 - 3126 + 686 - 1318 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f**2 + 17*f + 2. Let v be y(6). Suppose 40*a - v = 6*a. Solve 5*l - 25 = -5*k, 2*k = -k - 4*l + a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let q(d) = 7 - 7 - 3*d. Calculate q(w(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 221\/14 - 2\/7. Let y = u - 15. What is the closest to y in -1\/7, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4404 (base 5) in base 4?\nAnswer: 21130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 23. Let a(o) = -o + 7. Suppose -2*g = -11 - 5. Let f be a(g). Is f at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200519702 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -29*z**7\/105 - z**5\/30 - z**3 + 2*z**2 + 39*z. Find the third derivative of w(y) wrt y.\nAnswer: -1392*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 562107.5549 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -0.043\nAnswer: -23.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 18*b - 52. Let w(q) = q**2 + 17*q + 52. Let j(o) = 6*n(o) + 5*w(o). Let c be j(-16). Let s = -2 + c. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 10*d**2 - 13*d - 15. Let n be ((-2)\/(-3))\/((-10)\/(-45)). Suppose n*f = f - 20. Is q(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/164 and -99\/512.\nAnswer: 20992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -89?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -30. Let i(n) = n**2 - 2*n + 2. Let y be i(g). Let w = y + -3. Which is greater: 1\/6 or w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219*f - 6 - 5 - 372*f + 11 to the form w + p*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 12913?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) + (sqrt(20) + sqrt(20) + sqrt(20)*5)\/sqrt(4)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgg when three letters picked without replacement from gjjwjnrnwrrgj.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjkc when four letters picked without replacement from {k: 7, c: 2, m: 5, j: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*v)*(-4*v**2 + v**2 + 4*v**2) + 2 - 2*v**3 - 2 - 4*v**3 + 1 - 1.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-1) - 7 - (5605 + 1). Let p = 134549\/24 + r. What is the common denominator of -75\/2 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0164 + -368.9836. Let h = g - -369.00000203. What is h rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411524 is divided by 1449.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*w - 33*w - 13*w in the form m + l*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 140*y + 801*y**4 - 66509*y**2 + 66509*y**2 wrt y.\nAnswer: 9612*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 865*o + 4*o**3 - 865*o + 3*o**3 - 2.\nAnswer: 7*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 6:03 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 12. Let m(b) = -6*b - 37. Let k(s) = 8*i(s) - 3*m(s). Let a(g) = 3*g + 0*g + 5*g + 3*g - 8*g. Calculate k(a(j)).\nAnswer: 6*j + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173913 and 20851.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 7. Let u be h(-4). Let p(s) = s**3 - 4*s**2 - 6*s + 7. Let i be p(u). Find the second derivative of -2*q**5 + i*q - 9*q + q**5 wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -76. Let r = -851\/1330 - 2\/665. Find the common denominator of r and 201\/u - ((-26)\/(-5) + -5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*0\/5. What is the units digit of r + 1*(1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 315.6627 - -2.4373. What is the second smallest value in 4\/5, d, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 28 = 5*g, 2*g - 3*g = 5. Let q(v) = 16*v - 1. What are the prime factors of q(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/10 - 26*q**3\/15 + 244. Factor p(v).\nAnswer: 2*v**2*(v - 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/540)\/(4\/(-30))*6\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222398320*p**2 + 25936885*p wrt p?\nAnswer: 444796640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - v - 2*v)*(-v**2 - 2 + 3*v**2 + 4 - 2*v).\nAnswer: 4*v**3 - 4*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Let f = 69.1 - 69. Which is the second biggest value? (a) m (b) 58 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-60))\/(24\/380)*10233\/1137.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w**3 - 720*w**2 + 1132*w - 96 = 0 for w.\nAnswer: 8\/89, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6510)\/279)\/(8 - (-10 - -23))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-1\/7)*c)\/c)\/c)**(-2\/45) assuming c is positive.\nAnswer: c**(-4\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 13*x**6\/360 + 133*x**3\/6 - x + 25. Let w(c) be the second derivative of j(c). Let s(h) = -10*h. Calculate s(w(k)).\nAnswer: -130*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**5\/10 + 2*c**2 - 3*c - 4. Let p(i) be the first derivative of h(i). What is the first derivative of p(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -0.4, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 845507759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/12896 and -73\/416.\nAnswer: 12896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -3 - 4\/4*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -219, 4, -14, 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mssffmifsfsisii. Give prob of sequence mf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 0. Let u(c) = -100*c - 8. Let z be u(p). Is 12 a factor of (-2)\/3 + z\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134090861*a**2 + 552860386*a**2 + 120125368*a**2.\nAnswer: 807076615*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 263, 877, 1901, 3335?\n\"Answer: 205*j**2 - j + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -311200430 (base 5) in base 13?\nAnswer: -356c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13791313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 970488270 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - 1\/3. Let m be 2696\/30 - (-34)\/255. Let h be (5\/m)\/(30\/9). Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-6\/7))\/g)**(-26) assuming g is positive.\nAnswer: g**(156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 6*a - 3. Give x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -17 - -17 - 16*-1. What is the greatest common factor of 344 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 3. Let q be w(6). Let l be q\/12 + 19\/4. Let s = -38 - -37.7. Which is the third smallest value? (a) s (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40802208 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/4 + 2*z**3 - 5*z**2\/2 - 8*z + 1. Let u be r(-6). Suppose c - u = -8. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(18) + sqrt(162) + 0 + sqrt(162))*3.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68459 and 388314.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 588219060 divided by -39.\nAnswer: -15082540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 + 6124*s\/3 - 9375844\/3.\nAnswer: -(s - 3062)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1816 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, 4\/201, 8\/31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000088349 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2795087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 21*n - 1277. Determine k(49).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*k + 93 = -4*i, 0 = -4*k - 12. Let y = 103\/3 + i. Is y > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p\/(p**(-2\/3)*p)))\/p**5)\/(p**(-1\/2))**(-31) assuming p is positive.\nAnswer: p**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 23, -5, 2.\nAnswer: -5, 1, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -274.51 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-24)*-4*3. Suppose -3*w + o = 1. Suppose 4*c = 4*z + 5*c - 125, w*z - 92 = c. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -5*w**4\/12 + 10*w**3\/3 - 10*w**2 + 5*w. Let p(a) = 0. What is a?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 598206*r**5 - 9*r**4 - 3408256*r wrt r?\nAnswer: 11964120*r**3 - 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(39)\/(sqrt(9)\/sqrt(48)) + 1.\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7200 is divided by 1767.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Does 6 divide v\/3*14 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 197\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1433101 - 2?\nAnswer: -1433103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2\/11, -5, 2\/13, -2\/19?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 2*w - 4. Let a be u(-2). Suppose 3*c = -2*t + 404, t + 4*t + 5*c - 1020 = a. Is t a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93.1 + 88. Let u = q - -0.1. Let s(z) = 3*z**3 - 2*z**2 - 4*z + 5. Let n be s(1). What is the nearest to -2\/7 in n, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 5*f**4\/12 - 4800*f**3 + 20736000*f**2 + 2103*f. Factor t(j).\nAnswer: 5*(j - 2880)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 0*m**4 + 0*m**2 + 0*m**5 + 6 + 2\/3*m**6 + 0*m + 5\/3*m**3. Find the third derivative of o(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 304036564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:56 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600824 and 4?\nAnswer: 600824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m + m)*(-4*m**2 - 6*m**2 - 7*m**2)*(-1 + 2*m**2 - 5*m**2 - m + 4*m**2).\nAnswer: -17*m**5 + 17*m**4 + 17*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460641.98 hours in weeks?\nAnswer: 8694.2975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 366, 348, 308, 240, 138?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2098.75 + 2156. Are k and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-132)\/18 + 6 + 15024\/9.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 1 + -1 + 218. Suppose -32*i = -35*i - n. Let j = -75 - i. What is the smallest value in -1\/5, 5, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 3*l + 24 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/2, -1\/11, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203087 times -4?\nAnswer: 0.812348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 20. Is (-12560)\/(-30) - 2\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357845.\nAnswer: 5, 71569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 10*q + 150. Let u(z) = -2*z. Calculate p(u(j)).\nAnswer: -8*j**2 - 20*j + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/4 + 33*u**4\/4 - 17*u**3\/2 = 0. Calculate u.\nAnswer: -34, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -13*b**4\/24 - b**3\/6 - 2*b**2. Let c be p(3). Let z be (c\/(-12))\/(2\/23400). Round z to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28399 or 0?\nAnswer: 28399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/26995 and 25\/31.\nAnswer: 836845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2616*k - 3*k**2 - 1376*k - 1264*k - 4 to the form q*k**2 + v*k + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-1) - (-125)\/50) + (-194775)\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77133 - -7?\nAnswer: 77142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*1779657\nAnswer: -266948.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 7*x + 4. Let l be u(-6). Let d = l + 2. Let m = 2 + d. Calculate the remainder when m is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -21. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 - g + 3. Suppose 0*x - x - 4 = 0. What is the units digit of a(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(1\/6). Suppose -5*z + k = -0*k + 4, -12 = 2*z - b*k. Let f(x) = -x**2 + x + 3. Let i be f(z). Sort -4, i, -1.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -5228.\nAnswer: -5233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 50*i + 4886. Is k(-17) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 279 + -274. Let k = -53 + 53.5. What is the biggest value in k, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375*g**5*o**2 + 12*g**5 - 4*g**2 + 2*g*o**2 - 114*g*o wrt g?\nAnswer: 22500*g**2*o**2 + 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -62, -67, -72?\n\"Answer: -5*j - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15*y**2 - 3*y + 1. Let o be q(1). Suppose 10 = 2*r - 5*n + 27, -o = 4*r - 3*n. Let p be (3*(-2)\/(-6))\/r. Which is smaller: -2\/83 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**3 - 9*f + 5 + 13*f + 16*f**2 + 14*f - 2*f**3 + 7*f**3. Determine h(17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 154*o + 1. Let h(a) = 15*a - 24. Determine h(c(b)).\nAnswer: 2310*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1378*g**2 + 1369*g**2 - 2748*g**2 - 63 + 13 - 10.\nAnswer: -g**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3471 + -34813\/10. Let f = 191849\/4514 - 2\/2257. Calculate the common denominator of k and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 60. Suppose 5*b + 2*k + 867 = 0, 0 = -3*k - 3 - 0. Let c = -107 - b. What is the remainder when c is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/908694536 and -115\/14.\nAnswer: 6360861752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-16))\/((-13)\/26)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**3 - i**2 - 18*i - 5. Let r be a(5). Let d = r + -1513\/3. What is the closest to -2 in -3, d, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -3\/7 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dldlll. Give prob of picking 1 l and 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 5, -2, -0.5, -4\/9 in increasing order.\nAnswer: -2, -0.5, -4\/9, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 11:54 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*6*((-21)\/6 - -3). Solve -x = -2*c - 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/2)\/(-3 - (-4)\/1). Let d(x) = -x + x**u - 232 + 3*x**2 + 0*x**2 + 226 - 6*x. Let a be 6\/(-9) + (-30)\/9. What is d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-3 + (-6 - -12 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 8*k + 7. Let q be 58*(-1 + -1 + 1). Let p be (-6)\/(-24) - q\/(-8). Let a be g(p). Round a to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**4\/24 + 12*x**2 + 2*x. Suppose -48*i = -51*i - 9. Calculate q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110110 (base 2) to base 5.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {y: 3, l: 4, p: 3, f: 3, r: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*s - 3 - 7, -2*d + 20 = -4*s. What is the third biggest value in d, 1, 0.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 590*o - 588. Suppose t = 4 - 2. What is the remainder when w(1) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241610306.\nAnswer: 2, 7, 17257879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkd when three letters picked without replacement from ddddknnnddrd?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 - 0 - -3 - -2. Suppose -5*a + 8 = -x. Solve -3*t + 5*r + 21 = a, -3*t = 4*r - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:42 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from afhxafaaeff.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 9336 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 9*z - 17. Let u be l(-5). Suppose -5*h + u*h + w = -206, 0 = -5*w. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -46 (b) 0 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 105*r + 10 + 14 - 39*r - 54*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 338350 and 9.\nAnswer: 3045150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44395308 by 14798436.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 5*g**2 + 42*g - 210. What is q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3\/3 + 1946*h**2 + 326240*h\/3 + 892200 = 0.\nAnswer: -45, -10, 2974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2. Let m(v) = -v. Suppose 2*z - 2*u + 0*u - 10 = 0, -5*z = 4*u - 70. Let c(j) = -8*j + 12*j + z*j. Let o(l) = c(l) + 12*m(l). Determine o(q(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -9, -17?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/15*(-11030)\/17648?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17124 and 3.\nAnswer: 17127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 222587050180 - 38?\nAnswer: 222587050142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000234124646 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:51 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2211302 (base 5) to base 9\nAnswer: -57515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-25 + -4 - -30).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596319.8 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1\/2*z**2 - 2*z = 0. Calculate z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 4*v**2 - 3*v**2)*(704*v**2 - 704*v**2 - 2*v - 81*v**3).\nAnswer: 162*v**5 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10925958?\nAnswer: 2, 3, 67, 27179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5320988 + 5320988 - 15*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -299.79 + 308. Let w = 8.61 - t. Let v = 0.8 - 5.8. Which is the third biggest value? (a) -1\/4 (b) -1\/5 (c) w (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37295397200 rounded to the nearest 1000000?\nAnswer: -37295000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/12 + c**3\/3 - c**2 - 2*c. List the prime factors of l(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.088 + 19. Let w = 0.0879949 + u. Round w to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 171?\nAnswer: -16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -33 - (-15 - 41)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29395*-0.3.\nAnswer: -8818.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*i - 596, i + 3*n = 150 + 57. Suppose -32*o = 16*o - i. Find a, given that -1\/4*a**3 - a**2 + 1\/4*a**o + 0 + a = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622577370.\nAnswer: 2, 3, 5, 19, 1092241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11030634.661 rounded to the nearest 10000?\nAnswer: -11030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-12))\/((-530)\/(-80) + -4). Which is the second biggest value? (a) g (b) -12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/3570 and 43\/189.\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -11, 0, -83 in ascending order.\nAnswer: -83, -11, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:31 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33288 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*b**3*j**2*l*n + 2*b**3*j*l**2 - 33*b**3*j*l*n + 1773*b**2*j**2*l**2*n - 5*b**2*j*l**2 + 2*b**2*n - 4*b*j + 7 wrt j?\nAnswer: 32*b**3*l*n + 3546*b**2*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.63921 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1\/3 (c) 0.24 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20521 - 20293. What is the highest common divisor of v and 7144?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.2, -3\/5, 13 in ascending order.\nAnswer: -3\/5, 0.2, 4\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5643, 11128, 16609, 22086?\n\"Answer: -2*b**2 + 5491*b + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/50 - ((-81)\/30)\/(-3). Let s = -13 - -11. Let z be (-2 - -1)\/(1 + s). Which is greater: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*s + 7. Let i be 30\/(-12) + 31\/14. Which is bigger: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*w**2 - 80*w**2 - 9*w**2.\nAnswer: 247*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 11894.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330\/7 - -327\/7. Let f = 155 + -155.28. Put 5, -4\/3, f, i in decreasing order.\nAnswer: 5, f, i, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771 + 8*j**2 - 767 + 2274 - 744.\nAnswer: 8*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 9*z + 24 + 12*z**2 - 13*z**2 - 1. Let s be c(10). Suppose 10*y + 483 = s*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -d, 5*d + 4*w + 32 = -26. Let t(g) = 9000*g**2 - g - 10. Let v be t(d). Round v to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -48. Let q be (-2 + 3)\/(x\/12). Solve q = 2*s - s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1151657 (base 9) to base 11.\nAnswer: 397274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1441\/4 - 5745\/16. Let z = -177397\/18 - -9858. What is the common denominator of s and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/64 and 31\/20.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -378709?\nAnswer: 378704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 6:31 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 + -10 + (-9)\/3)*(-10)\/2. Solve -3*p = w*s - 14, 10*p + 2*s = 6*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17616 - -31695. Suppose -9*c + v = -654. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 629*n**2 - 318*n**2 - 5*n**3 + n - 358 - 328*n**2 - 2*n + 4*n**3 wrt n.\nAnswer: -3*n**2 - 34*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 1376716*a.\nAnswer: -4*a*(a + 344179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (29\/2 - 3). Let o = -15 + n. Which is the nearest to -1\/3? (a) 3 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 4*p - 2*p + 376 + 256 in the form i*p + o and give o.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/4 of a kilometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/20)\/(-32 - (-112537)\/3515).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133884 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4082 + -4074. Let a be (4\/(-6))\/((-5)\/15). Suppose -a*d - 10 = -4*d. Solve -4*n = -u, 4*n - n = -g + d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sic when three letters picked without replacement from iiccdcidcs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2580415885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121? (a) -3 (b) -41 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -16*d + i, 3*d + 5*i + 65004 = 65023 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -4.3. Let n = 11 - 163\/15. Let d = -5 - -4.6. Sort j, d, n in descending order.\nAnswer: n, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/((-285)\/(-171))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -856 + -2?\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5975606 seconds?\nAnswer: 597560600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(110)\/(sqrt(110)\/sqrt(176)))**2.\nAnswer: -40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61490*r**3 + 13685*r**2 + 47*r?\nAnswer: 368940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 328040 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u + 76. Suppose 0 = -w + 3*c - 1, -c = -4*w - 2*c + 35. What are the prime factors of a(w)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2*w + 2*w - 3*w) + (-2 - 2*w + 2)*(2 - 3 + 3) + (0*w - 3*w + 4*w)*(-27 + 5 - 1).\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:23 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbzbdzz. Give prob of sequence bb.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*g + 10*g - 8*g**5 + (0*g**2 - 2*g**2 + 0*g**2)*(-g + g - g**3).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 + 3 - -25) + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0, -18303, 1\/5, 3\/310?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -450 (base 6) to base 2\nAnswer: -10101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 - x + 2. Give f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s - 20. Let d(o) = -o - 2. Let t be d(-12). Let v be y(t). Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - ((-52 - -20 - -11) + -15 - -8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = p - 29, -u + 4*p = 7. Suppose 0 = 7*n - 3*n - s + u, -n + s - 3 = 0. Let h(f) = -2*f**2 - 3*f - 3. Calculate h(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 124 + 36 = 0. Let w be (-988)\/(-11) - 4\/x. Let d be ((-108)\/w)\/((-2)\/25). Calculate the highest common divisor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077494 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-2 - ((-2 - 1) + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652112 is divided by 50161?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:00 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -956517 divided by -3\nAnswer: 318839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akl when three letters picked without replacement from {k: 1, l: 1, a: 2, z: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 127*u**2 + 0 - 116*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859404117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-12) - 1\/4. Let o be (-8)\/(-15)*1\/4. Let n = -6\/7 + 11\/21. Which is the third smallest value? (a) w (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68a43 - -1?\nAnswer: 68a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 73 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 11 = 106. What is the greatest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11023 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - c - 254*c**2 + 167*c**2.\nAnswer: -87*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, -57, -281, -585, -963, -1409, -1917, -2481?\nAnswer: -3095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 18, -1, 3, -33 in descending order.\nAnswer: 18, 3, -1, -24, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:11 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 9*g**2 - 11*g + 14. Give s(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 143805 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r**2 + 27*r + 16 - 28*r - 7. Let b be y(4). Suppose 533 = 2*n - b. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 89 (c) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 82. Let p be v(16). Suppose -p*z + 12 = -4*a, -5 = -2*z - 4*a - 1. Solve -2*k - 4 = z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - -82. Suppose 561*p - g = 554*p. Solve 4*r = -h - 2*h + 27, -5*r - 4*h + p = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 8*u**2 - 5. Let l(r) = -r + 10. Let g be l(2). Let j be i(g). What is the third smallest value in 2\/11, -3, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.12 and 12.95?\nAnswer: 12.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14950\/(-4600) + (3 - 11\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 408587 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1611*i - 1604*i + 3214*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2041751 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7690627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/22086 and 65\/6?\nAnswer: 22086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -46 (b) -0.07 (c) 12 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.1 (c) -2 (d) 2\/9 (e) -64 (f) -1815 (g) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26449 or 26500?\nAnswer: 26449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 718, 2279, 5316, 10321, 17786, 28203?\nAnswer: 42064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.4312806 to four dps.\nAnswer: 16.4313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -997, -1980, -2949, -3904, -4845, -5772?\n\"Answer: 7*f**2 - 1004*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -20779*n + 145460. Calculate f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 - 2*s + 4. Let m be i(3). Let j = 17 - 18. Let l be (-10)\/j + 1 + -3. Solve -g = -m + l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -7*x. Solve -g + q + 4 = x, 2*g = -g + 4*q + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0 + 0)*(5 + 1 - 5) + 210*o + 167*o - 102*o - 2*o - 2 + 2 + o + 3*o - 5*o + (2*o + 1 - 1)*(-4 + 1 + 1) + 3*o - 3*o - o - 4*o + 4*o - 2*o.\nAnswer: 261*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(128) + -1)*-3.\nAnswer: 3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**2. Let d(g) = -g + 5. Let m(f) = 1. Let i(u) = -d(u) + 5*m(u). Let z(q) = 3*q. Let v(r) = -5*i(r) + 2*z(r). Calculate v(l(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/2*114\/(-57)*2\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -197. Let d = g - -81.999944. Round d to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -212 + 212. Solve -14*p - 7 - 21 = h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 1256*p**5 - 4896 + 4896)*(-1 + 3 - 1) - 4*p**5 - 2*p**5 + 5*p**5.\nAnswer: -1257*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 42631 - 3*q + 42601 - q.\nAnswer: -q - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -14*x**2 + 1. Calculate q(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164886 + 99122. Let u = y + 65761.99985. Let l = u + 2. Round l to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/18438332?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.68 + 0.28. What is the third smallest value in -3, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.63 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((6\/(-12))\/(3\/(-18)))\/(-1). Sort 0, d, -1 in decreasing order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 31 in increasing order.\nAnswer: -10, -3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -5*u**4\/24 - 19*u**3\/6 - 32*u**2. Let t be m(-4). Let b = -9 - -17. What is the highest common factor of t and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 9, t: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12518 + 12514. Which is the fourth smallest value? (a) r (b) 2\/3 (c) 6 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110111001000 (base 2) to base 12.\nAnswer: -11a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.579 to the nearest integer.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221 - -22102012210?\nAnswer: 22102001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Let k(b) = -b + 7. Let i be k(3). Sort z, i, 5.\nAnswer: z, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (522\/783)\/(2*(-2)\/(-60))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (322\/(-56) - -6) + (-159)\/12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8))**(2\/31)\/(l**4\/(l\/l**0)) assuming l is positive.\nAnswer: l**(-109\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.9193 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6162 and 316.\nAnswer: 12324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26263 + -26263. Sort 5, r, 33, -5, 2.\nAnswer: -5, r, 2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2776 is divided by 99.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98491553 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from kkwnkywnnkwkwnn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 64, 98, 132?\n\"Answer: 34*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3458297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2324073 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 85*g + 29. Let r be p(-21). Let a(s) be the second derivative of 0 - r*s + 3\/20*s**5 + 6*s**2 - 2*s**3 - 1\/4*s**4. Factor a(q).\nAnswer: 3*(q - 2)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1.3 (b) -0.1 (c) -183 (d) -4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 61103*t + 2.\nAnswer: 61103*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-12))\/((-3)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4173 + -2124. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474958530 divided by 10\nAnswer: -47495853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l + 6. Let f be ((-1 + 0)*(-4 + 4))\/3. Calculate r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3850080.\nAnswer: 2, 3, 5, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(147\/(-10)))\/(((-169830)\/(-140))\/51). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*q - z, -3*q + 4*q + 1 = 4*z. Suppose -2*i + q*i = -n + 42, -3*i = n - 48. Suppose 5*f = 151 + n. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48700283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -4*p. What is the third derivative of -a**5 - a**5 + 18*a**2 - 11*a**p - 13*a**2 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxkkxkvxkkkkkkk. What is prob of sequence vx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -11*b + 18*b. What is the remainder when 4 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1 + 10. Let k be 3\/(-2)*(-12)\/h. Suppose -3*i + 4 + 11 = 0. Solve 3 = -k*r + i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 4:57 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, d: 3, r: 2}. What is prob of picking 1 i and 3 d?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 4*r - 5. Suppose 6*n - 31 + 1 = 0. What is the tens digit of d(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let s(v) = -1015479*v**2 - 2. Give i(s(w)).\nAnswer: -2030958*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 941258 and 5094.\nAnswer: 8471322","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -26.40619 take away 22457923?\nAnswer: -22457949.40619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + 167. Suppose -194*a + o*a = -30. Calculate the highest common factor of a and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18240619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Let b be h\/(-7) + (-46)\/(-7). Solve -b*p + 2*p = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 686298 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -364? (a) 0.3 (b) -0.4 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*x + x. Let b(o) = -o**3 + 5*o**2 - 4*o + 2. Let i be b(x). Suppose -l = i*l - 6. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(h**2 + 0*h**2 - 2*h**2) + (-h**2 - 2*h + 2*h)*(-2 + 1 + 2) - 5*h**2 - 6*h**2 - 15*h**2.\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13*a + 10. Let r(j) = j. Let w(k) = 6*k - 7. Let z(l) = -3*r(l) - w(l). Calculate -5*x(n) + 7*z(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7) - (1*(sqrt(42)\/sqrt(6) - sqrt(7)))**2) - -4*sqrt(77)\/(sqrt(11) + sqrt(55)\/sqrt(5)).\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/21 - (-130)\/14. Find the third derivative of 7*k**2 + u*k**2 - 3*k**6 - 8*k**2 + k**6 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 1 (c) -1 (d) -49 (e) 8785.2 (f) -2\/3 (g) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j - 400 = -j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/4347 and -65\/11799.\nAnswer: 82593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*p + 178 - 178 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 20. Solve -x*q + 2*q = i + 3, 0 = 4*i - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*i**5 - i**3 - 137*i**2 - 2709867*i wrt i?\nAnswer: 420*i**3 - 6*i - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by 1.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19935\/26580*2\/19?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -407*l + 9 - 18 + 9 in the form j*l + h and give j.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110*x - 21*x + 46 + 50 - 96 - 2*x - 3 + 3 + (-2 + 2 - x)*(2 + 0 + 0) + 0*x + 2*x - 4*x - 80*x + 95 - 95.\nAnswer: -217*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 5:56 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 60 = -5*q + 3*p, 3*q + 70 = -5*p. Is 32 a factor of q\/(-2)*56\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/168*(-6832)\/(-5796) + 4\/84?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 36 + 37 = 22, -5*a - 84 = k + 3*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141450 divided by -3450?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -336, -657, -980, -1305, -1632?\n\"Answer: -f**2 - 318*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0 (c) 3 (d) 353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537c (base 14) in base 12?\nAnswer: 8132a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -119, -4 in ascending order.\nAnswer: -119, -6, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 929651731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 5.197.\nAnswer: 5.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -d + 3*d - 45, 0 = 5*v + 4*d - 55. Let f = v + -4. Let j be (-38)\/4*-2 - f. Calculate the highest common factor of j and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3*-3)\/(18\/2736). Let f = a + -301. Solve k - 3*b + f = 0, 3*k + 9 = 2*b + 3*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 6*h**2 + 6*h - 6. Let l be i(5). Let o be 1\/(-4 + 19\/5). Sort -8, o, l in decreasing order.\nAnswer: l, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -24. List the prime factors of (-9)\/v*266\/21.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1100)*1 - -6*2*sqrt(1100))**2 - ((sqrt(11) - (-1 + sqrt(1584))) + sqrt(99)\/(2*sqrt(9) - sqrt(9)) + -2)**2.\nAnswer: -20*sqrt(11) + 108899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174090 and 770?\nAnswer: 1914990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7922 + 10.\nAnswer: -7912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*f + 49, -5*f + 91 = 2*r - 2*f. Calculate the greatest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) -2\/3 (c) 41 (d) 0.2 (e) 485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 11. Let y be b(-13). Suppose 0*r = -3*v + r - 3, -2*r = -3*v - 6. Let a be (v + 1)\/((-1)\/(-4)). Is a <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1305, -1354, -1443, -1578, -1765, -2010, -2319, -2698?\nAnswer: -3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 255 = 8*z. Is z > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 31866754?\nAnswer: -31866757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.7 + -11.8. Sort -7, 1\/8, q in ascending order.\nAnswer: -7, q, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-6)\/35)\/(6\/40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u**2 + u. Let a(n) = -63*n**2 - 11*n + 1. What is -a(l) - 10*g(l)?\nAnswer: -47*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 4*d**2 - 3*d + 2. Let m be y(-3). Solve 0*s + 21 = -m*o - 5*s, 4*s = o - 22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.2, 10, 1\/6 in ascending order.\nAnswer: -4\/7, -0.2, 1\/6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -42*z**3 - 12*z**2 - 35*z - 13. List the prime factors of a(-4).\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -20*a + 17*a - 31, -5*d + 17 = 4*a. Solve 5*x - 3*i - 17 = 0, -d*x + 3 + 18 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001482552 to seven decimal places.\nAnswer: 0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -80 (b) -2\/15 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*l + 2250 = 472*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 2*o + 3*o + 22 to the form n*o + b and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -15, -36, -75, -138, -231?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose x = -p - p + 118. Let f = p - 45. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 + -65. Let a be 0\/2 + (-10)\/1. Let o be ((-24)\/(-10))\/((-2)\/a). Calculate the highest common divisor of o and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by (-2 + 1)*-2 + 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474968365?\nAnswer: 5, 19, 4999667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7363 divided by 514.\nAnswer: -7363\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/12)\/(8\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 3\/4, 6, -4\/21, 1?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*o - 301 - 1451 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h. Let t = -1165 + 1167. Let x(i) be the first derivative of -30 + 0*i - 7\/2*i**t. Determine p(x(m)).\nAnswer: -49*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263 divided by -263.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -581 + 581.8. Do m and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 80. Let f be z(-9). Sort 5, 722, f in ascending order.\nAnswer: f, 5, 722","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-106794)\/(-162) - (12\/27)\/2. Let y = 961 - t. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 60 - 84)*(-4*m - 7*m - 2 + 14*m) - m + 2*m - 3*m.\nAnswer: -437*m + 290","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 4. Calculate the lowest common multiple of 1 and -2 - (v + -5 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10789?\nAnswer: 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -669 divided by 33\nAnswer: -223\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:15 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186*a + 586*a + 41986 = -1875*a + 648*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 16822584.\nAnswer: 168225840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from ppraapprpapararpappp.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + 362105?\nAnswer: 362145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*b - 1. Calculate the common denominator of b - ((-585)\/(-40) - 0) and 51\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 4 - ((5 - 1) + -4)) + 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:59 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o**4 + 14*o**2 + 2. Let d(s) = 18*s**2 + 6 + 7 + 9*s**2 - 8 + 25*s**4. Let r(i) = 4*d(i) - 10*f(i). What is the third derivative of r(h) wrt h?\nAnswer: -480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -349 and 0.0921.\nAnswer: -32.1429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 = -1. Solve m*a - 4 = 2*a + 3*t, 3 = -3*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 78\/21 + 2\/7. Let y = 0 + r. Calculate the smallest common multiple of y and (54\/12 - 4)*16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: What are the prime factors of 1429269?\nAnswer: 3, 476423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**2 + 40*o - 39. Suppose 0 = 3*l - 79 + 64. Let x(s) = -4*s**2 + 20*s - 19. Let k(a) = l*x(a) - 3*j(a). Factor k(n).\nAnswer: -2*(n - 1)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*r**3 - 4*r - r + 5*r.\nAnswer: -555*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(380*a + 261809 - 261809)*(0*a + 0*a - 2*a**3).\nAnswer: 2280*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340197 and 9.\nAnswer: 1020591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9539*k**5 - 139*k**2 + 75?\nAnswer: -572340*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3790 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3836\/2740)\/((6\/40)\/3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3, -121, -10, -26 in ascending order.\nAnswer: -121, -26, -10, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*v**5 + 31*v**4 - 43*v**3 + 10289*v**2 - 35*v.\nAnswer: -3900*v**2 + 744*v - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 - 13*z**2 + 8*z**2 + 6*z**4 - 6 - 4*z + 6 as f + g*z**2 + w*z**4 + a*z**3 + x*z and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029 + 126 = 2*t - k, -3*k = -3*t + 1740. Suppose -5*h + 720 = 5*i, -i + t = 3*i + 5*h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 25*b**2 + b - 2. Let i be p(-8). Round i to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*j - 12, 5*j - 8 = -2*d + j. Let g = 26 - d. Suppose -i + 20 = 5*o - 18, -i + g = 2*o. Calculate the remainder when 22 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*(34059 + 7639 - 10406).\nAnswer: -31292*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 15\/2, 716, 1, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48977 is divided by 24473.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + y)*(2*y - 1781*y**3 + 1563*y**3 - 3 + 2) - 11*y**4 + 3 - 3.\nAnswer: -229*y**4 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66988 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, -0.6, -3, -2\/17?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20)*1 - sqrt(20))\/sqrt(4) - sqrt(20)*1) + ((3*(sqrt(55) + sqrt(5500)))\/sqrt(11))**2)*6.\nAnswer: -12*sqrt(5) + 32670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1407 and 341.\nAnswer: 479787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*p - 1691, -4486 = -5*u - p - 1631. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1591067234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g**2. Let u(w) = 118730*w**2. Give f(u(y)).\nAnswer: 239645819300*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**7\/42 + s**5\/4 - s**4\/8 - 5*s**3\/6 + 11*s**2 + 7. Find the second derivative of z(h) wrt h.\nAnswer: 60*h**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + sqrt(475)*-2 + -5 + (sqrt(475) + (sqrt(475) + sqrt(475)*2 + sqrt(475) - sqrt(475)) + 2 - sqrt(475)))**2 + 0.\nAnswer: -60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (150\/12)\/(-25)*24\/(-304)*8\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 41, 37, 31, 23?\n\"Answer: -q**2 + q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 10*d - 305. Let x = 52 - d. Suppose x*q = 2*q + q. Which is the nearest to q? (a) -5 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -7) + (1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6890, -4, 13, 1.\nAnswer: -6890, -4, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 z when three letters picked without replacement from razzzzzar?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -12*d**3 + d**2 - 2*d - 7. Let y be w(-3). Calculate the common denominator of -133\/6 and (0 - 3\/(-18))*y\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -380*k**2 + 8*k + 11. Determine b(-1).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*z + 1 + 7 - 63 = 0. Let n(p) = p. Let c = -6 + 2. Let j(q) = 2*q**2 - 3*q + 1. Determine c*n(y) + z*j(y).\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 + (3 + 3 - 4)*(2 + 2 - 1) - 3 + 6 - 2)*(-1 + 1 - 2)*(-4*h + 3*h - h).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2772, 5613, 10348, 16977?\nAnswer: 25500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*((-20)\/3 + 4). Suppose 0 = -f*m + 7*m + 191. Let o = -114 + m. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -58\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*i**2 + 69*c*i - 42*c + 3*i**4 + 244*i**2 + i wrt i?\nAnswer: -4*c + 36*i**2 + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -3. Suppose 6*o = 2*o + a. Let k(i) = -i**3 + 4*i**2 + 2*i - 4. Let w be k(o). Solve -7 - 1 = -w*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/70304 and -85\/9464?\nAnswer: 492128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 730972?\nAnswer: 365486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 times -0.1?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 173157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 167701*p\/2 - 83851.\nAnswer: (p - 1)*(p + 167702)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 12 + 8 + -14. Solve -2*a - 3*a = c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7. Let k = p - 4. Which is the second biggest value? (a) k (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 4, 33\/5 in descending order.\nAnswer: 33\/5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 4*x)*(x**2 + x**2 - 5*x**2).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42135993, 84271985, 126407977, 168543969, 210679961?\n\"Answer: 42135992*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(52)\/(sqrt(4) - sqrt(64)) + -4 - sqrt(104)\/(sqrt(32)\/sqrt(4)*5)) + -2)**2.\nAnswer: 352*sqrt(13)\/5 + 56114\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34010.25 nanograms?\nAnswer: 0.00003401025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 36. Calculate the remainder when 30 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100727 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*x = -52, -2*x - 92 = 5*j + x. Let w = 11 + j. Is (1 + 2331\/(-5))*w\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -385 + 384. Which is bigger: 5.9 or k?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 195, 424, 735, 1122, 1579, 2100?\nAnswer: 2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2100033100030 + 11?\nAnswer: 2100033100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7289, 144, -5 in descending order.\nAnswer: 7289, 144, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 8*n**2 + 9*n - 1. Let j be i(7). Suppose 0 = j*k - 8*k. Suppose k = r - w - 6, -7*r + 4*r - 4*w = -18. Solve 3*c = r + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**3\/3 + c**2 - 14*c. Let d(p) = p**3 - p + 1. Determine -2*d(v) + r(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/326, -23, 178, 1 in descending order.\nAnswer: 178, 1, 3\/326, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1. Let i(v) = -v - 6. Let k(w) = -11*f(w) + 2*i(w). What are the prime factors of k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198 + 186. Does 35 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (46 + -29 + 18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -584, -1167, -1750, -2333, -2916?\n\"Answer: -583*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 + 12820392*c - 13696870919472 = 0.\nAnswer: 2136732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 11, 5344 in increasing order.\nAnswer: -1, 3, 11, 5344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -416\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13. Let q(k) = -k - 40. Let i(n) = -7*o(n) + 2*q(n). Differentiate i(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/2418 and -73\/201262?\nAnswer: 243325758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -318, -294, -270, -246, -222?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000680404354 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4463 is divided by 53.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 146255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 183*r**2\/2 + 77*r + 830. Differentiate h(s) wrt s.\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from bzzbcczjbbjb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -283*a + 1704. Let y be g(6). Solve 0 = s - 72*c + 74*c - 9, s - c = -y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 n, and 1 i when four letters picked without replacement from nylfilmy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 224 and -1.1.\nAnswer: -246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - -6) + 10\/2. Let f be p + (0 - 48\/28). Factor 0 + 2\/7*w - f*w**2.\nAnswer: -2*w*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(2*q**3 - 9*q**3 - 6*q**3) + (-3*q - 2*q**3 + 3*q)*(0 - 3 + 1) + 1 - 2*q**3 - 1.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12843622 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3564 and 2592.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 24*n + 4. Let x be w(6). Solve -3*u + 13 = f, 3*u = x*f - 2*u + 33 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001763 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d*d**1))*d))\/(d*d**(-1\/5)) assuming d is positive.\nAnswer: d**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 0*w**3 - 12 + 2*w + 5\/12*w**4 + 0*w**2. Let o(v) be the first derivative of u(v). Let t(a) = a. Determine o(t(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -72. Let z be 672\/280 + (-1)\/(o\/(-4)). Suppose -c - 2 + 20 = 0. Calculate the greatest common factor of c and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/28 - (437\/(-23) + 1096\/56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/20 + g**4\/2 - 5*g**3\/6 - 5*g**2\/2 + 2*g - 4. List the prime factors of r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187496433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w - 9. Let k be a(-5). Is 4 - (3 + k + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -p + 139. Let r = p - 236. Let y be (-2)\/(-7) + 78\/21. Solve -r*z - 7 = 5*a - 4*a, y*a - 18 = 3*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/13)*k*k*k\/((k\/(k*k\/(k\/((k*k\/(k*k*k**23\/k))\/k))))\/k))**11 assuming k is positive.\nAnswer: k**(-2739\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53752380 to the nearest integer?\nAnswer: 7332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719 = 100*l - 439 + 720 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose -4 + m = -2*q. Solve -5*t + p = -9, -3*t + q*p + 5 = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 - 18?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 111. Let t be a(27). Let f = t + -114. Solve 19*k = f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 7:57 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 89, -51 in descending order.\nAnswer: 89, -23, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1085723315\/924 + 1175025. Let p = 4\/231 - g. Which is the third biggest value? (a) p (b) 3 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -996*t**2 + t. Let q(h) = 9*h. What is q(b(r))?\nAnswer: -8964*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 426*g**2 - 4288*g + 289. Determine c(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 52 = 4*b - 0, 3*b + 6 = 0. Let h(y) = -y**2 + 3*y + 30. Let p be h(-4). Suppose -3*d - p = -20. What is the smallest common multiple of t and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or -222320?\nAnswer: -222320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(64))\/(sqrt(968)*-2) + ((2*sqrt(2)*4 + 1)*6*-5)**2.\nAnswer: 158397*sqrt(2)\/11 + 116100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 158604 and 321.\nAnswer: 16970628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 1561501?\nAnswer: -1561503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 - 22247180*x**2 = 0. Calculate x.\nAnswer: 0, 5561795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5363\/7 + 770. Find the common denominator of 0 - (-1)\/((-2)\/45) and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*f = -2*f - 8, f = v - 5. Let r be 3\/v*2\/(-3). Is (-1 - 0 - 28)\/r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001617 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*q**2 - 67*q**2 - 65*q**2 - 92*q**2 - 58*q**2 - 114*q**2.\nAnswer: -91*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/74666490 and -2\/645.\nAnswer: 74666490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 10 = -16. Sort i, -6, 5, 2.\nAnswer: -6, i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/2)\/((-6)\/(-8)). Suppose l + l = 5*k + 18, 3*k + 3*l = c. Let s(o) = -o**3 + 4*o**2 - 2*o - 3. Let r be s(3). Do k and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -12.1. Let w be (-30)\/(-26) - -1 - 2. Which is the second smallest value? (a) z (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -17. Calculate the lowest common multiple of w and (-3)\/(4\/((-40)\/3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:36 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 14. Let y = -13 + p. Let u = -0.2 + 0.1. Which is the nearest to u? (a) 0 (b) 2\/11 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3588.848 kilometers?\nAnswer: 358884800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -6\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 5*j - 1. Let t(x) = x**2 - 8*x + 2. Let y be t(7). Let q be w(y). Is q not equal to -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 5*i**2 - 4*i + 4. Let z be -1*5 - (21 + -17). Calculate the least common multiple of t(6) and (-5 - z)*(8 + -6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3574113 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 34*c + 17. Let u be v(-17). Let b = 17 - u. Suppose 15*t - 16*t + 787 = b. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5412917922 divided by 6?\nAnswer: -902152987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-29)\/((-1450)\/1725))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/6 and -89\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 0.7, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.083559 and 0.4?\nAnswer: 0.316441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.84 and 2.\nAnswer: 15.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1484, 1, -1 in decreasing order.\nAnswer: 1484, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4611.194 nanoseconds?\nAnswer: 0.004611194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 137424588 divided by -6\nAnswer: -22904098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5944 is divided by 205.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let n be p(-1). Let t be -3 - -5*(n - -3). Solve -o - t + 4 = m, 0 = o - 3*m - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.916 + 5.024. Round d to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 11*x**2 + 6*x + 132. Let a be k(-10). What is the highest common divisor of a and 1247?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-15402)\/12)\/(-17). Suppose 152*n - 149*n = k. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4 + 10*l**3 + 6*l**2 - 18*l = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*h + 3, -3*z - z - 2*h = -6. Let s = 10 - 11. Let f = s + z. Solve 2*w = -3*o + 22, -f*w = -6*o + 2*o + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 144721 - 135295 = 4*y, 3*a + 167996 = y. What is a rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2514\/2160 - -3*(-1)\/(-5). Let o = 15\/8 - z. Which is the second smallest value? (a) o (b) 4\/7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -2. Suppose 0 = -j*f + 14*f - 80. What is the remainder when 15 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:18 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12900550 divided by 12900550\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 1\/28 (c) 0.2 (d) 3\/5 (e) -53 (f) 0.14 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43.89, 0, 0.1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -151, -3, 27, -8\/343?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(20\/(-14)) - -3. Put -10\/7, k, -1\/6 in decreasing order.\nAnswer: -1\/6, k, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + (-5)\/(-2). What is the third smallest value in 0, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -20*t + 40*t. Solve -3*a + 2*j - 15 = 0, t*j = -3*a - j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3947996508?\nAnswer: 2, 3, 443, 742663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1189*c**2*w**3 + c**2*w**2 - 223*c*w**2 wrt w.\nAnswer: -7134*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 59214815*z - 829006430.\nAnswer: -5*(z - 11842949)*(z - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l + 21. Let j(r) = -2*r - 11. Let w(h) = -7*j(h) - 4*m(h). Let n(k) = 3*k + 37. Let v be n(-14). What is w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + (59 - (2 + 1)) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/100 + (-24)\/(-5). Suppose g*n = -3*r - 591020, 3*r - 2*r + 5*n + 197020 = 0. Round r to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/1250919 and -11\/352128.\nAnswer: 1120823424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 + 27*k**2 + k + 1. Calculate the least common multiple of 156 and o(9).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/(-3)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7245747.\nAnswer: 3, 37, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*o = -0*o - 20, -21 = -4*c - o. Let u(n) = -n + 5. Let k be u(c). Solve y + k*y = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*c + 8, -c - 3 = 6*n - n. Suppose -c*o = -2*i - 12, 3*i + 2*o = -o. Let p be 1900\/(i*1\/3). What is p rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 8. Sort -1, 4, r.\nAnswer: r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 48390*i - 50543*i + 1)*(1 - 1 - 2*i**2) as c*i**2 + b + w*i + q*i**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3254 take away 0.5?\nAnswer: -0.1746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29723314?\nAnswer: 2, 23, 646159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122515*v*x**3 - 362*v*x**2 - 2*v - 3*x**2 - 7 wrt x.\nAnswer: 735090*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 20176 = 2*t, 4*t - d = -29268 - 11088. Round t to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270164, 270175, 270186?\nAnswer: 270197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*2 + (-336)\/64\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/9*6)\/1. Let b be (-1)\/((-2)\/(-88)*q). Let s = -9 - b. Solve s*n - 6 = -4*r, -r - r + 5*n = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 3\/2*p**2 + 0.\nAnswer: 3*p**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 + -1.1. Let x = 4.577 - 2.677. What is the nearest to x in -0.3, l, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 + 2610*q + 15768 = 0. Calculate q.\nAnswer: -6, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -7601, 2\/5, 4 in ascending order.\nAnswer: -7601, 2\/5, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117*(-2 - (7366\/(-30) - 88\/110))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -529*u**2 - 3*u**3 - u**3 + 527*u**2 + 2*u**4 to the form d*u**4 + a + z*u**2 + p*u + m*u**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 244423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -0.2 (c) -5\/2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1\/7, 0.05, 2\/17?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/10*((-14)\/1176*791 + 9). Let a = 0.1 - 0.3. What is the nearest to -3 in a, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:36 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 7, 0.\nAnswer: 0, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (-4*sqrt(1216)*-1 - (0 + 1 + sqrt(1216))) + -5)**2.\nAnswer: -2016*sqrt(19) + 65958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2 - -1)*1 - -3 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 + 6*c - 2. Let p(l) be the first derivative of 14*l**3\/3 - 17*l**2\/2 + 6*l + 7064. Determine -6*p(f) - 17*t(f).\nAnswer: f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -410*-4*(-6)\/(-40)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1.0103?\nAnswer: -3.9897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 294187179 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**7\/105 - 8*o**5\/15 + 49*o**3\/6 - 22*o**2 - 2*o. What is the derivative of s(q) wrt q?\nAnswer: 8*q**3 - 64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*a - 0*a. Let n be (-3)\/(3\/a)*4. What is the greatest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190074529 a multiple of 2807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 125436 (base 7) to base 12\nAnswer: 11763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -2. Suppose 0 = -4*s + 4*z - 8, 8 = -10*s + 7*s + z. Sort s, -5, u in increasing order.\nAnswer: -5, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o - 25. Let f be c(3). Let s be (2 - 2) + (f - 11) - -6. Is s not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:24 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8076191791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 415913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 171. What is m(-8)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 18. Let u be g(-16). Suppose q + 2*i = 1000, 5*i = -u*q - 0*i + 1997. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/9 + 1522\/15. Let z = p + -15781\/155. Let h = 5129\/1085 + z. Calculate the common denominator of 67\/10 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 2*d**2 - 2*d - 2. Let r be v(-2). Suppose 335 = -3*j - r*j. Let h = j - -157. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189409823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 86513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/256 and 69\/64?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 417 (b) -0.3 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -292, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.05 (b) -0.2 (c) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1221 - -1860. Calculate the common denominator of (x\/66)\/(0 + 3) and -65\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -2\/3, -0.4, 3.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m - 11. Let l(n) = -2*n + 4. Let q(j) = 4*i(j) + 11*l(j). Let f(k) be the first derivative of -2*k**3\/3 + 7. Calculate q(f(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5 + 6. Let b = 6 + w. Suppose 0 = z - b + 1. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/((-7)\/(-770)). Let i = -28 + w. Calculate the remainder when 63 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 3}. Give prob of picking 3 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-20)\/g**(-4\/7)*(g*((g*g**(1\/16))\/g)\/g)\/g*(g**(1\/6)*g*g)\/g assuming g is positive.\nAnswer: g**(-6451\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14248 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: Express -3*s**3 + 2*s**4 + 3 + 0*s - 2 + s**2 - 11*s + 6*s in the form z*s**3 + t*s + d*s**4 + m*s**2 + w and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39.98 * 1357\nAnswer: -54252.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2*(-1)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 41.56285ml?\nAnswer: 0.04156285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -1.1. Let u = 329613 + -329611. What is the nearest to f in 3.4, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = a + 4, -5*x + a + a = -17. Suppose x*t - 6*t = -21. What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - 17*y**2 + 11*y + 11. Suppose 0 = -5*q - 20, 3*x - 2*q - 5 = -0. Let f(w) = -w + 1. Let a(r) = x*n(r) + 3*f(r). Factor a(d).\nAnswer: (d - 1)*(d + 4)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1640 and 451?\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -223231333 (base 4) in base 13?\nAnswer: -63679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*1 - (-1 - -2). Let a be (-284)\/13 - p\/52. Does 6 divide (-2 + a)*(-4 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 40 - 1. Let l = 30 - y. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/4 + c**3 + c**2 + 3*c - 1. Let z be g(3). Let j(n) = -4 + 4 - 10*n + z*n. Let r(p) = -3*p. Calculate r(j(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -23 - (1404 + -1430)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, l: 13, n: 3}. Give prob of sequence nu.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 23 + 13 = 0. Suppose -3*x - 5*u = -0*x - 3179, 3*x - y*u = 3143. Suppose k + 5*o = 216, 7*k = 2*k + 2*o + x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 84 and 1.46.\nAnswer: 85.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 6*g - 2. Let p be r(6). Let v = 1\/16 - p. Find the common denominator of v and 448\/(-96)*(-2 + (-1085)\/(-460)).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyv when three letters picked without replacement from {y: 2, v: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from {x: 4, a: 2, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/2 + a**3\/3 + a**2 - a + 5. Determine m, given that g(m) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/4 + g**3\/3 - 11*g - 3. Calculate r(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {l: 1, w: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 367323612 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 - 3 = 0. Suppose 5*m - c = 2. Let f(h) = 3*h - 3. What is f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183061 or 184000?\nAnswer: 183061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -5, -2, -358?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 3\/2 (c) -0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-16))\/(16\/(-128)). Does 7 divide ((-570)\/t)\/((-5)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22797.9 - -22798. What is the closest to 8\/5 in 2\/9, -0.5, t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -3649\/276?\nAnswer: -3649\/276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496688753?\nAnswer: 11, 45153523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 8) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 13*w - 56 - 18176*w**4 + 2*w**5 + 50*w**2 + 36361*w**4 + 35*w - 50*w**3 - 18179*w**4 = 0.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 6, 7352, -6 in decreasing order.\nAnswer: 7352, 6, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-210)*-20)\/(8\/36*7\/(-2)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429021?\nAnswer: 11, 163, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 24 - 6. Calculate the remainder when 15 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7172479861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13680, -13691, -13648, -13563, -13448?\nAnswer: -13315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 610 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 16*s. Let o(b) be the second derivative of 2\/3*b**3 + 0 + 0*b**2 + 30*b. Give c(o(x)).\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -10 in decreasing order.\nAnswer: 2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 841ad - a4?\nAnswer: 84109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-25))\/((-2)\/5). Is f\/(-9) - 368\/(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/22499 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145507367 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/5 (b) 1\/3 (c) -18.56 (d) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 0*q + 15 + 10 to the form y + a*q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*m - 5*m. Let p = -195 - -16. Let g = m - p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**5*d**8)\/((d*(d\/d**(2\/5))\/d)\/(d*d**0)) assuming d is positive.\nAnswer: d**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q*q)**(-2\/109) assuming q is positive.\nAnswer: q**(-16\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-2)\/(-2)*-1. Let p = m - -4. Solve -2*v + 3*v + p = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 1 + 6)*(1 - 4 + 1) + 1 - 4 + 5 - 19 + 12 + 12)*(2 - 2 - 2)*(-13*l**4 + 5*l**4 - 9*l**4) as w*l + o + g*l**3 + a*l**2 + k*l**4 and give k.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/4 + 5*f\/2 - 11\/4 = 0. What is f?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prpprrllp. What is prob of picking 1 p and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 145*t - 763. Is r(10) a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -5, 2\/9, -1\/36 in descending order.\nAnswer: 2\/9, -1\/36, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231700 by -8275.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 - y**4 - 2*y**4 + y**3 - 3 to the form q*y + t + i*y**4 + f*y**3 + c*y**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) 4 (c) -4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f - 5. Let v(j) = -j. Let u(h) = p(h) + 5*v(h). Give u(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2 (c) -9\/8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -6.95. Let w = v + -4.05. Which is the nearest to 0? (a) 3\/7 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 5, -3 in decreasing order.\nAnswer: 5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-5*18\/45 - -23. Suppose -1 = w - q. Let f = w - 16. Let v(l) = -l**2 + 5*l - 3. What is v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4\/7 (b) -0.2 (c) 4 (d) -1\/2 (e) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44973926659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 + 42*k - 139. Calculate z(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (-2 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/60 + j**4\/4 - 7*j**3\/6 - 65*j**2 + j. Let y be m(-9). What is the greatest common factor of 140 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**4 + 25*v**3 - 2*v - 509?\nAnswer: -60*v**2 + 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3813923 weeks in nanoseconds?\nAnswer: 230666063040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 5270?\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/240 + x**5\/15 + 7*x**4\/12 - 2*x**2. Let d(m) be the second derivative of g(m). Differentiate d(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 296148187822411158.99999919 + -296148189319927265. Let i = j + 1497515914. Let r = i - -192. What is r rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/17 - 50312*y\/17 - 2477478 = 0. Calculate y.\nAnswer: -24289, -867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cb6 + -dd18?\nAnswer: -eace","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81.96079l?\nAnswer: 81960.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*r - k, -4810*k = -5*r - 4806*k + 39 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/8 + k**3\/3 - 2*k**2 - 1. Let n(c) = -14*c - 11. What is -22*h(j) - 4*n(j)?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8010568 + -2?\nAnswer: -8010571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 2 - (-6 + 2). Suppose -4*d = a*j - 7*d, -2*d + 20 = 4*j. Suppose 3*h = j*n + 33, 0 = 3*h + 3*n - n - 53. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 1021, 2294, 4077, 6370, 9173?\nAnswer: 12486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c - 311?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 138*w + 144. Determine r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 199*r**4 - 28*r**4 - 38*r**4 + r**4 - 2*r**4 - r**4 + (3*r - 3*r + 2*r)*(r**3 - 2*r**3 + 3*r**3).\nAnswer: -263*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*l + 18*l = 10*l + 2304 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.09, -0.11, 3, 2, -3\/38?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*x - 180*x + 53*x + 53*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 16*w + 11. Is n(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1584) - 3*sqrt(1584)).\nAnswer: -24*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h. Let m(u) = -u**2 + 6. Let d(g) = -7*g. Let t be d(-1). Let z be (1*t)\/(5 - 6). Let p(n) = -n**2 + 7. Let q(l) = z*m(l) + 6*p(l). Give q(b(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1068*2423\nAnswer: -2587764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*a**2 + 100*a**5 - 41*a**5 + 46*a**5 + 18*a**2 + 282*a wrt a?\nAnswer: 2100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -42*v - 18*v - 336 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2648*b**4 + 3*b**3 + 2*b**2 + 57*b + 2544863?\nAnswer: 10592*b**3 + 9*b**2 + 4*b + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.32 and 33539.\nAnswer: 178427.48","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is the value of 6\/(-45)*((84\/(-14))\/2)\/((-5)\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6638 - 6638 + y**2. Let w(h) = 14*h. What is w(r(g))?\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*p**2)*(-5 + 4 + 0) + ((4*p + 0*p + 3*p)*(3 - 4 + 3) + 15*p + 3*p - 4*p)*(-4*p + p - 2*p).\nAnswer: -142*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 32. Calculate a(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9093.9 less than 552.4722?\nAnswer: 9646.3722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 19 = -7. What is the second biggest value in r, 0.5, 0.08, 0?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 0 - z**3 - z**2 + 8*z**2 - 2 - 2*z - 3*z. Let p be s(6). What is the derivative of -4 + 5 + 4*t**2 + 0*t**2 + p wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (6\/(-3) - -3). Suppose -v*z - 12 = -116. Suppose l = -3*l + z. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*o**3 + 29*o**3 - 2*o**2 + 2*o**2.\nAnswer: 602*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*n**3 + 67047*n**2 - 624336*n + 172908.\nAnswer: 3*(n - 9)*(n + 3202)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 22, 24, 16, -8, -54, -128?\n\"Answer: -r**3 + 4*r**2 + r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, 244, -4 in descending order.\nAnswer: 244, 14, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1663198195 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Sort i, 3, -1, 2.\nAnswer: -1, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 98?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 11\/22)\/(10\/(-12)). Put u, -3, -2\/53 in descending order.\nAnswer: u, -2\/53, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 184 + (-2 - (-4)\/1). Suppose -5*t + x = -2*t. Let g = 104 - t. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5 - 36*l**4 - 96*l**3 + 210*l**2 + 675*l - 750.\nAnswer: -3*(l - 2)*(l - 1)*(l + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-17)\/153*(-6)\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 273181322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 3441135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5278*k**5 - 2066*k**3 + 2 - 2067*k**3 - 501*k + 4133*k**3 wrt k.\nAnswer: -105560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-3 + 6 - 2)*(37*m**2 - 35*m**2 + 76*m**2)*(-22 + 25 + 30) as x*m**2 + s + j*m and give x.\nAnswer: 2574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22086189 + -3289.\nAnswer: -3289.22086189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/27)\/((-1)\/(-75)). Suppose -2*z = 3*z - y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -16 (c) 38 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57944360 divided by -11588872.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66708609 and 12771.\nAnswer: 600377481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 3:05 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 339*d - 9406. Determine o(-26).\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -685353 + 398057 + 2*i**2 - 3*i**2 + 1072*i.\nAnswer: -(i - 536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/3, -4, 8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4512719.325 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4\/7, 4\/2711, -25\/4, -3?\nAnswer: 4\/2711","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19116 and 1458.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(4\/(-26))*-2. Find the third derivative of -21*p**4 + 41*p**4 - 25*p**2 - g*p**2 wrt p.\nAnswer: 480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 1\/3, 2\/15, -12, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9617693 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4242)\/(-10) + (-1260)\/(-700) is divided by 63.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-6)*((-15)\/(-6) - 3). Suppose -q - 3*s - 10 = m, -s - 10 = -q + s. Suppose -q*j = 3*u - 3, -6 = -5*j + 2*u + 11. Solve -j*h - 5 = 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*y**3 + c**3*y**2 + 152*c**3*y + 315*c**2*y**4 wrt y?\nAnswer: 6*c**3 + 7560*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6*-2572 + -1. Suppose 5*h + 0*d = -2*d + w, -3*h = 3*d - 762. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724592.4 micrometers to centimeters.\nAnswer: 72.45924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5 and -4 + ((-6)\/3186)\/((-8)\/18132)?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*((-2)\/(12\/93))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/86243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -401 or -400?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008906*0.088.\nAnswer: -0.000783728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppcc when four letters picked without replacement from {c: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 17*g - 20*g + 54 = -19*g + 5*g, -5*z + g - 21 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25731 (b) -2\/13 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4932 is divided by 2450.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -82790280 to the nearest one hundred thousand.\nAnswer: -82800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*w**2 - w + 4*w - 24*w**2 in the form j*w + s*w**2 + d and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6 + 21\/(11214\/184))*(611 - 613).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 463\/(-1256) + (2 + 107\/(-56) - 4388\/(-15358)).\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 5:12 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = y - 3, 3*o = -0*o + 5*y + 24. Let i(j) = 242*j - 19. Is i(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*w**2 + 411743 - 11*w**4 - 2*w**3 - 411743 as z*w**3 + h*w + s*w**4 + t*w**2 + b and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*x - 35, 2*l + 4*x = -2*l - 36. Let z = 2 - 3. Let d be z*(2 + -2 + -1). Sort d, 3, l in descending order.\nAnswer: 3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from grgwzwzzuzgzrurz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 4, t: 3}. Give prob of sequence ttwt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 185. What is the greatest common divisor of a and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672 smaller than 4736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -12. Suppose 5*n = 4*s + r, 2*s = 4*n - s - 8. Suppose 3*p + 3 = -0*i + n*i, 0 = -i - 3*p + 24. Solve -h + i = m + h, -4*m + 20 = 4*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*a - 2*z, -z = 4*a - 2*z - 64. Suppose 4*l + 58 = 154. Calculate the greatest common divisor of l and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -1 + 1 - -1) + 327 + -347?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 + 76392124*j**2 + 729469652546040*j + 1458938999523600 = 0 for j.\nAnswer: -19098030, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p - k, p + 5*k - 8 = -p. Suppose p*s + 2924 = -2*l, 5*l = -2*s - 1508 - 5794. Let g = l - -2849\/2. Find the common denominator of g and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*b - b = -25, -5*m = -3*b - 64. Let y = 4085 - -2978. Suppose 18*l - y = m*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + l = -10 + 3, -l + 1 = 0. Let m = 1290 + -1287. Find the third derivative of m*d**2 + 22*d**h + 10*d**2 - 38*d**4 wrt d.\nAnswer: -384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998578*l**3 - l + l + 998596*l**3.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/20 + m**4\/2 - 3*m**3 - 5*m**2 + 92*m. Does 105 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + s + 2. Let g be (-14)\/(-6) + (112\/24)\/7. Let c(w) = -7*w**2 - w - 3. What is g*c(z) + 5*o(z)?\nAnswer: -z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469*r + 2250 + 273 = 178. Solve r*k - 32 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**2\/2 + 13*m + 37. Calculate s(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 divided by 2?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 184\/9*f**4 + 0 + 0*f**2 + 0*f - 128\/3*f**3 + 4\/9*f**5.\nAnswer: 4*f**3*(f - 2)*(f + 48)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 61, 103, 145?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + (-5)\/(-2). Find the second derivative of -13*r**3 - r**u + r + 7*r**3 + 2*r wrt r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - 21. Let o = -63.99999942 - p. Round o to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330248393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 7 in increasing order.\nAnswer: -5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196736233\/799150 - -3\/72650. Let x = c - -246. Sort x, -1\/19, 0.4.\nAnswer: x, -1\/19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0657 minus -0.14?\nAnswer: 0.2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1535313*i**2 + 11*i - 310193.\nAnswer: -3070626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3941, -7887, -11833, -15779, -19725, -23671?\n\"Answer: -3946*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 558 - 57. Let v = -118 + y. What are the prime factors of v?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -32*f**2 + 6*f + 647. Give p(5).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-6\/5)*r*r**(-1\/4)*r)**13\/(r**(-2\/15)*r\/r**(1\/18)*r*r*r)**7 assuming r is positive.\nAnswer: r**(4441\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 38*w + 4 = -22 + 2, -2*w = 6 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -2 (c) -1\/2 (d) 0 (e) -0.041\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 8. Let a be t(-6). Solve -a*y - 3 = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Suppose -m + i - g = -7, -4*m + 13 = -3*i. Sort -9, -4, m.\nAnswer: -9, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 64231*s + 963461. What is p(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivj when three letters picked without replacement from djqvidj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 - -12) - (18 + -16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 10:18 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/8)\/k**(6\/11)*k\/(k*k\/(k**(-1\/3)\/k))*k**(1\/5) assuming k is positive.\nAnswer: k**(-3701\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 8*h**2 - 9*h + 2. Let n be l(-9). Let y be ((-1 - -1)\/4 - n)*8800. What is y rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 40170 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 43 - 9640*g + 19277*g - 9642*g - 15*g**2 as u*g**2 + q*g + r and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253827 is divided by 1275.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 87*o**3 - o**2 + o - 1. Let r(p) = p**2 + p. Let i(w) = h(w) + 2*r(w). Find the second derivative of i(s) wrt s.\nAnswer: 522*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 times -7\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.117 - 5.017. Put z, 4, -580 in descending order.\nAnswer: 4, z, -580","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 - 148\/(-28). Suppose 0 = -2*q, -h*q = -2*w - 2*q + 592. Let s = w - 188. Calculate the highest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90110.4 - 40719211.\nAnswer: -40629100.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/170 + -2*1\/(-20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1)*w)**(-8\/15)*w**(2\/19)\/(w*w\/((w\/w**(2\/21)*w*w*w)\/w)))**(-34))**(-6\/17) assuming w is positive.\nAnswer: w**(1612\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/120 + v**5\/30 + v**4\/12 + v**3\/2 + 3*v**2. Let p(j) = -2*j + 11. Let a be p(8). Let l = 8 + a. Give r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/16)\/(-1)*1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/369053477 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*v + 4 = 0, -151*i + 152*i = 4*v + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/5, 42, 0.7, -36005 in descending order.\nAnswer: 42, 0.7, 1\/5, -4, -36005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/((-10)\/(-8980)). Let z = 589 + c. Find the common denominator of -19\/10 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 11 - -7 - (-15 - (8 - 12))) + 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**11*t*t**(-2\/3))**(-32\/3) assuming t is positive.\nAnswer: t**(928\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdaxaaigdjdi. What is prob of sequence adij?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (136\/(-28))\/2*(-210)\/72 and -13\/23058.\nAnswer: 46116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(48) + sqrt(3))**2)*-1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(78\/(-13)))\/(10\/(20\/(-29))).\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24*4395856\nAnswer: 105500544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frnrdddrrrrrcf. Give prob of sequence nr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 - 9) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m**3 - 4*m**3 - 6*m**3.\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 9 = 4*j + r, 4*r = 2*j - 56. Let z = j + 4. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 0*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.079 - 0.021. Let p = -1.9 - z. Which is the third smallest value? (a) 0.1 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137388 and 6420?\nAnswer: 686940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6368660?\nAnswer: 2, 5, 359, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -3, 8, -5, 2 in descending order.\nAnswer: 14, 8, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = 4*u, -3*j + 0*u = -4*u - 21. Let v(t) = 2*t**2 - 5*t + 2. Let p be v(j). Let i(f) = -7*f + 5. Let b(k) = 10*k - 7. What is p*b(c) + 7*i(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, 146, 539, 1134, 1925, 2906, 4071, 5414?\nAnswer: 6929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1464, 2927, 4390, 5853, 7316?\nAnswer: 8779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = w, -2*u = -2*w + w - 13. Solve 0 = -u*i + 2*b - 4, -2*i - 14 = b + 4*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 73. Let i(u) = 2*u**2 + u + 6. Let s be i(-4). Suppose t - s = -3*r, 5*t - t + 5*r - 150 = 0. Calculate the highest common factor of t and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46978601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4861167484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16273 is divided by 191.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let z be a(0). Suppose z = -0*j + 2*j - 6. Find the third derivative of 3*d**2 + d**2 + 5*d**j - 8*d**2 wrt d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148 in 2, 3, 7\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -147.\nAnswer: -4\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56652093 to the power of 1\/2, to the nearest integer?\nAnswer: 7527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -l + 257, -20*q + 242 = l - 18*q. Let i = -232 + l. Which is the second biggest value? (a) i (b) -0.5 (c) 26 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 11111?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31a + 1454c?\nAnswer: 14232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2916 + 216*b**2 - 13*b**3 - 972*b + 1\/4*b**4.\nAnswer: (b - 18)**3*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 5953 = -6043 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 4076908*a**2 + 2077647355058*a.\nAnswer: 2*a*(a + 1019227)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 74, 99, 144, 215, 318?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*v + 36 = 0, -5*v = y - 0*v - 1 - 33 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -37, -5 in increasing order.\nAnswer: -37, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 5*v - 3*v + (3*v - 2*v + 0*v)*(-1 + 0 - 1) - 21*v + 18*v + 30*v + (0*v + 2*v - v)*(-2 + 7 - 3).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 3 - 2 - 2*t**3 - 2*t + 2*t**2. Let f be s(1). Is ((-1)\/(-2))\/(f\/(-144)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16037077 - -203?\nAnswer: -16036674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23550 or 23585?\nAnswer: 23550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -916 + 1578. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {i: 1, w: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 6*v + 468. Let t = 89 + v. Let w = -6 + 10. Which is the second smallest value? (a) t (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33871599667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from emggg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*o**3 + 12970*j**3*o**2 + 2*j**2*o**2 + 528*j*o**4 - 3*o**3 wrt o.\nAnswer: -6*j**3 + 12672*j*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*m**2 + 240*m**2 + 7*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 14. Let a(n) = 2. Let q(x) = -14*a(x) - 2*i(x). Let s(f) = 2*f**2 + 6*f - 9. Suppose 12*v = 13*v + 4. Let k be s(v). Calculate q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 7:58 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -25375, 3, 725 in increasing order.\nAnswer: -25375, 3, 725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 70*j**2 - 489*j - 3. What is o(6)?\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 336 * -594\nAnswer: -199584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + 74 = 2*w - w - 12, -2*s = -3*w - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5118*r + 72178. What is a(-14)?\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3855, 3852, 3845, 3834, 3819, 3800?\nAnswer: 3777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v - 56*v = -5*s + 1079, 0 = 5*s + 3*v - 1083. What is the remainder when s is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912 divided by 4?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (-4 - (-3 - -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z - 8*z + 10*z + 0 + 2. Let j be x(-3). Let b = 0 - j. Let q(c) = -c**3 + 5*c**2 - 4*c + 6. Give q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*u = 359*u + 2*n + 10, -4*u - 15 = 3*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -56 - (-9 - (35 + -32 + -16))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47691586 to the power of 1\/2, to the nearest integer?\nAnswer: 6906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 3.8. Let n = i - -2.1. Which is bigger: n or -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kowowoowwowwk. What is prob of sequence oo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 + 18633*x\/5 - 18618.\nAnswer: -3*(x - 6206)*(x - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327682?\nAnswer: 2, 163841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - -14011?\nAnswer: 14034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/21 + -2 + (-50)\/(-14). Suppose 6*m - m = 5*z - 3995, m + 1596 = v*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 33*m - 160*m**3 + 4*m + 14*m.\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569288 is divided by 4433.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 676?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-42)\/(-20)) + ((-42)\/85)\/(-7).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 14*o - 2. Let t(l) = -15*l + 3. What is 2*t(u) + 3*y(u)?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1616*f - 873*f + 25 + 700*f + 35 - 63)*(0 - 5 + 1).\nAnswer: 7156*f + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 229 = 106. Let b = k + -33. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510739 is divided by 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - (-30)\/(-8). Let m(c) = c**2 + 2*c - 5. Let n be m(q). Find the third derivative of -j**2 - 4 - 3*j**4 + n*j**2 + 4 wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5\/5 + 438*j**4\/5 + 12852*j**3\/5 + 35958*j**2\/5 + 35097*j\/5 + 11556\/5 = 0.\nAnswer: -107, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5912 is divided by 1961?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.07, 0.4, 3 in descending order.\nAnswer: 3, 0.4, 0.1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -6*n - 3*n. What is the highest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 17*n**2 - 37*n - 14. Let r be l(19). Solve -3*j = -w + 8, 0 = -r*j + 5*w - 2*w - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164181910?\nAnswer: 2, 5, 16418191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092631669 to the power of 1\/3, to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*y = 227*y - 32 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -11292, 172, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 0 + 2049*m - 2048*m in the form d*m + x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k. Let n = 4 - k. What is the greatest common factor of 28 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2779 + 91735\/33. Let p = f + -2\/11. Find the common denominator of (-6)\/24 + (327\/72)\/(-1) and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31053 (base 9) to base 4\nAnswer: -10333230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 9*r + 12. Let d be v(8). Suppose d*j + 9 = 3*j. Are -9 and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z + 14. Let u(b) = -10*b - 43. Let c(q) = 7*r(q) + 2*u(q). Let a be c(-6). Suppose a*w = -w + 350. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/17, 2\/15, 383?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 8*y**2 - 8*y - 8. Let i(v) = v**2 + 3*v - 2. Let m be i(1). Let f = m + -9. Let z be b(f). Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2\/9, 60.23 in ascending order.\nAnswer: 2\/9, 6, 60.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107.0000142 + 107. Round l to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**7\/210 - h**5\/40 + h**3\/6 - 3*h**2. Let l(o) be the first derivative of w(o). What is the second derivative of l(g) wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*t - 5*p - 59, -3*p = 2*t - 14. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/8 + -3)*5. Suppose 3*o = 2*o. Is o at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21222212102112 (base 3) to base 13.\nAnswer: b59c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + b47?\nAnswer: b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 88*g**2 + 277*g + 1. List the prime factors of d(-7).\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -20. Suppose 5*h = r*h - 476. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**2 + 21*k - 11. Give v(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -56 + 4*g + 8*g + 56. Let m(f) = 5*f. Let h(p) = 11*p. Let z(d) = 3*h(d) - 7*m(d). Calculate n(z(o)).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/3 + 978*w + 2. Let z(j) = -17*j + 29. Determine r(z(s)).\nAnswer: 1156*s**2 - 3944*s + 3364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(16\/5))**10 assuming m is positive.\nAnswer: m**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.08. Let j = w - -0.48. What is the closest to 0.1 in j, -5, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - 2*w - 6. Let u be k(0). Let j(v) = 20*v**2 + 21*v + 14. Let m(x) = -7*x**2 - 7*x - 5. Let b(i) = u*j(i) - 17*m(i). Give b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b + 45 = 57*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:28 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2926 and 770.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 2. Let y be r(-2). Let g = 19 - y. Let t(i) = -i**3 + 4*i**2 + 6*i - 7. Give t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00539401901 rounded to four dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 - 2*t - 1. Let l = -8 - -6. Let o be h(l). Let g be 1 + 6 + (-6)\/o. Solve r + g = -2*j, -j + 0*j = r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 81*j**4 - 9*j. Let b = -30 + 37. Let p(y) = 81*y**4 + y**2 - 8*y. Let x(q) = b*p(q) - 6*h(q). What is the third derivative of x(d) wrt d?\nAnswer: 1944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/10)\/(3\/15). Let h be 35\/a*(-6)\/(-5). Suppose 5*o = -20, 8*o + 1182 = 2*r + h*o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 - 71. Let c = a - -406. Suppose 3*v + 8*l = 11*l + 309, -2*v - 2*l + c = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 8c5479?\nAnswer: -8c5480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*h**2 - 7*h + 2*h + 12*h**2.\nAnswer: -186*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2 + (-79460)\/(-7250).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3291 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from uuiiiwimawui?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 9*p - 225985 + 225920 = 0, 0 = -2*z - 5*p - 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*h = 3*h + 334, -2*h = -5*b + 322. What is the greatest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 73 = -3*n, -n + 0*f + 23 = -2*f. Suppose -67 = -7*m - n. What are the prime factors of 285\/m*5\/((-25)\/(-6))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 24472 - 28931. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**2*y**3 - t**2*y**2 - 1898198*t**2 - 637*t*y**3 - 10*t + y**2 + 3*y wrt t.\nAnswer: 4*y**3 - 2*y**2 - 3796396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -552 + 169a7a?\nAnswer: 169528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1725*w - 8629. Give a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 q when three letters picked without replacement from {a: 1, q: 1, x: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97264 times -29?\nAnswer: 28.20656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 12 (c) -6 (d) 0.5 (e) -0.58 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and -0.3.\nAnswer: 29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 591 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21305 (base 7) to base 13.\nAnswer: -2546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1020 and 21318?\nAnswer: 213180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + j - 2*j + (2 + 2 - 3)*(-5*j + 2 + 2*j - 1).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-52))\/(((90\/(-260))\/3)\/6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18843302 + -4?\nAnswer: 188432ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**40)**(5\/4)*f*f**(-23)\/f*f*(f\/f**(-13))\/f*f*f assuming f is positive.\nAnswer: f**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6 = p - 6, -39 = 3*p - 3*l. Let d(t) = -t - 9. Let g be d(p). Let w = 1 - g. Solve 3*s + 13 = b - 6*b, w*b + 2*s + 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 202893989?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 58492260?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((((h**(-5)\/h*h)\/h)\/h)\/h))\/((h**(2\/3)*h)\/h))**(1\/21))**(-4\/27) assuming h is positive.\nAnswer: h**(-100\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -189090 or -189091?\nAnswer: -189090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2237*n**2 + 6*n - 15. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -212?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/48)\/(9\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*j + 721*j = 362*j - 54432. Is 88 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2*4\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105881.11168 + -1053.83532. Let c = q + 106860. Let i = c + 75. Round i to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -1 in descending order.\nAnswer: -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 15, 1, -5, 7, -2463.\nAnswer: -2463, -5, -4, 1, 6, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.99275t to grams.\nAnswer: 8992750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*n + 26*n**4 - 27*n**4 + n**2 + 2*n**3 + 21*n + 3 to the form o + b*n**2 + j*n**3 + v*n + a*n**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p*v**2 - 52*p + 7*v**2 - 9*v wrt p.\nAnswer: v**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -118 + 823?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4042859\/7 or 577551?\nAnswer: 4042859\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -x + 5*i - 6, 5*x + 1 = 2*i. Let c be (-9)\/3 + 31*x. Let a = c + 8. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3069430, 3069427, 3069424, 3069421, 3069418?\n\"Answer: -3*s + 3069433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -258*g**3 - 2*g**2 - g + 2. Let b be i(-4). Let c = -1827 + -6659. Let a = b + c. What is a rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 267*m - 276*m + 42399. Suppose -m = -13*u - 980. What are the prime factors of u?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*d**6 + 2*c**2*d**2 - 36828*c*d**4 - 12116*d**2 wrt d?\nAnswer: -120*c**2*d**3 - 883872*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4768 + 465*k - 2244 - 466*k as j*k + z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1269, -2164, -2695, -2862, -2665, -2104, -1179?\n\"Answer: 182*t**2 - 1441*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 12. Let l be 2*1\/(-1) + 4. Let j be l*(-3)\/2 - 5. List the prime factors of t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -241 (b) 0.096 (c) -5 (d) 8 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 10) in base 11?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2. Let b(i) be the first derivative of 23*i**3\/3 - i**2 - 282. Calculate c(b(l)).\nAnswer: 1587*l**4 - 276*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4\/k*k*k**(2\/19)\/k*k*k*k**(-2\/3)*k*k**(-5) assuming k is positive.\nAnswer: k**(25\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*j = -120, 8*j - 12*j = 2*f - 48. What is the remainder when 6653 is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 5313?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400847 = -23*f + 427052 + 860284. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 2*a - 2*a. Let h(s) = 51*s - 19*s - 26*s + 7. Let y(t) = 5*t + 6. Let c(k) = -6*h(k) + 7*y(k). Give c(q(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 5*h - g, 3*h - 204 - 28 = 2*g. Let x = -11 - h. Let l = x - -88. Solve 0 = -5*m + l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218064191.\nAnswer: 218064191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z + 0*z + z**2 + 0*z + 3 - 3*z. Let p be s(-4). Solve -m = -3, -2*d = -d - 4*m + p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7075*i**2 - 7079*i**2 - 8836 + 14155*i**2 as o*i + q*i**2 + c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*z + 12 = -156*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -4*s - 16*o + 14*o, 3*s - o - 76 = 0. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.4 (c) 11\/2 (d) -9938\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5*t + 5. Let y be z(-4). Suppose 0 = -f + 20 + y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 7*g - 5. Suppose -2*m + 4 = 10, -m + 27 = g*l. What is the greatest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 45405 = 5*g, -11*g = 4*v - 10*g - 36303. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*h = -17, 7*g - 4*h - 2062 = -2064 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 2. Let i be m(-2). Let g be (i + -1)*(-5 - -6). What is the third derivative of 2*l**2 - 4*l**2 - l**3 - 2*l**g wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 16 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152504.76 rounded to the nearest one thousand?\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7893 is divided by 168.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 - -485. Let f = v + -85. What is the least common multiple of 9 and f?\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 0. Suppose 73 = 5*a - 2*a - c, 4*c = 8. Suppose z + 8 = -q, a = -5*z - 2*q - 6. What is the nearest to 0 in j, 1\/5, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2, 0 in descending order.\nAnswer: 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/6 - 5*l**3\/3 - 3*l**2 + 5*l. Give g(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)*n)**0\/(n**1)**(-14))**(-1\/6))**(45\/2) assuming n is positive.\nAnswer: n**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31910.94241 - -31958.942409938. Let a = 48 - t. What is a rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:45 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40530352 and 27772.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-1) - 2 - -5. Suppose j*f - 26 = 6*f. Find the first derivative of -2 - f*w + 1 - 2 + 4 wrt w.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*i**3 - g**4*i - 5*g**3*i**3 - 16*g**2*i**3 + g*i**3 + 2*g*i**2 wrt g.\nAnswer: -24*g*i**3 - 24*g*i - 30*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-208)\/28)*57\/(-4389)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30618 = 580*d - 607*d. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -89172, -89174, -89176, -89178, -89180?\n\"Answer: -2*t - 89170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -h + 516*n - 513*n, 2*n = 6 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:27 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 6 + 10 + 17 + 20 - 2*z**2.\nAnswer: -2*z**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - 2 + r + 0 + 2 - 2 - r + (3*r - 3 + 3)*(-4 + 1 + 5).\nAnswer: 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 10314.\nAnswer: 82512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + i - 7*i + 6 - 3 + 4*i + 3*i**2. What is q(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 62178606?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -425.269 + 431.2689997. Let r = z + -6. Round r to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - (2 - 4 - -5). Let w = k - -22. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Let k(x) be the first derivative of 1\/2*x**2 + 0*x + 1. What is k(f(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 9 = -21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3423)\/(-168) - 3\/8. Solve -4*r + w = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (412*f**3 - 234132*f**2 - f + 234132*f**2)*(-6*f - f + 3*f) in the form m*f**2 + o*f**3 + r*f**4 + a*f + c and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.05648817 to 3 dps.\nAnswer: -1.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from ykyykykkkkkky.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1267 = 64*d - 4749. What is the remainder when d is divided by 58?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:33 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5247*s**4 - 5 + s + 4*s**3 + 5246*s**4 + s - 2*s**3 - s**2 to the form m*s**4 + r*s + y*s**3 + o + n*s**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, -113\/3, -2, -2\/5?\nAnswer: -113\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 130, 0.5, 5\/2, 6, -3.\nAnswer: -100, -3, 0.5, 5\/2, 6, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44497158*q**2*z + 30*q**2 - 19*q + 445 wrt z.\nAnswer: -44497158*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**3 - 4*l**2 - 40*l + 12. Let g(a) = -6*a**3 + a**2 - 39*a + 15. Let x(i) = 4*g(i) - 5*h(i). Find q such that x(q) = 0.\nAnswer: -22, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 646.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r**8*r*r)\/r)*r*r))\/(r\/((r*r**(-20))\/r))*(r**(-1)*r)**(-4\/3))**48 assuming r is positive.\nAnswer: r**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y - 0*y. Suppose 165*b - 425 = 2272 + 1098. Solve 2*i = -2*q - 8, 3*i - b = y*q + q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + k**3 + 15*k**2 + 29*k**2 - 56*k**2 + 9*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*v - 17, -5*v + 10*v - 54 = -3*o. Solve 0*w - 3*w + 5*p + o = 0, -2*w + 5*p + 17 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.34.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*x = 5, 0 = 4*o - 0*x - 4*x - 40. Let t(w) = w**3 - 6*w**2 + 7*w. What is t(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/3 - 53*x**4\/3 + 1123*x**3\/3 - 11891*x**2\/3 + 62920*x\/3 - 133100\/3.\nAnswer: (x - 11)**3*(x - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.167402055879 + -1198869.172375944121. Let r = -1198871 - y. Let k = 1.66 + r. Round k to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -757, -1743, -3121, -4885, -7029?\nAnswer: -9547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0 + 0*h + 0*h - 3*h - 6. Calculate z(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 (base 13) in base 14?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173 + -161. Is (-33)\/d + 3 + 26150\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z + 10. Let q(g) = 5*g + 5 + 94*g**z - 90*g**2 - 3*g. Let j(k) = -3*k**2 - 2*k - 4. Suppose 6*s + 20 = s. What is s*q(n) - 5*j(n)?\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 + 130*x - 435 = 0.\nAnswer: -29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 - 18*b. Let q(w) = 14*w - 3. Determine g(q(x)).\nAnswer: 1176*x**2 - 756*x + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (-6 + 1378)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adk when three letters picked without replacement from {k: 1, d: 1, a: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23252 - 23252. Solve 5*x + 15 = s, 6 = 3*y + 5*x + 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -5 (c) 5 (d) -70 (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhkh when four letters picked without replacement from ekhrcehchrcceh?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -93*m**2 + 4*m + 222. Let c(y) = 186*y**2 - 9*y - 442. Let d(n) = -4*c(n) - 9*z(n). What is the derivative of d(x) wrt x?\nAnswer: 186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n*v**6 + 8995*n*v**4 + 30*n*v**2 - 137*n - 2*v wrt v?\nAnswer: 840*n*v**3 + 215880*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(2*f**3 + f**2 - f**2) + 2166 + 167*f**3 - 1084 - 1083.\nAnswer: 165*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1137*y**3 + 35*y**2 + 28*y + 3. Is c(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -892 + 887. What is the third biggest value in 14, -16, n, 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48570 divided by -6.\nAnswer: 8095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyybyyybyyb. What is prob of sequence bb?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8839*r**4 - 24*r**3 + 12*r**2 + 9481310*r wrt r?\nAnswer: -106068*r**2 - 144*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6 - 1143\/180)*(-10)\/(-6) and 2\/(-12)*218\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4061539149 to the power of 1\/3, to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -10*s. Let g(n) = -n**3 + 8*n**2 - 8*n + 4. Let d be g(7). Let y be (-2 - d)*(2 - 1). Sort s, -2, y in descending order.\nAnswer: y, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*m = 3*d + 10, 10 = -5*d + 2*m. Let y = -55682 - -55688. Solve -y*s - s = d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -0.13 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-29))**24 assuming m is positive.\nAnswer: m**(-696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -99. What is the greatest common divisor of z and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*z + 37, j = -2*j + 3*z + 45. Suppose 3*a - p - 47 = 0, -p + 30 = 2*a - 8. Suppose j*x - a*x + 9 = 0. Is x greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*d**2*g*s + 88*d**2*s - 98*g*s + g - 2*s + 4 with respect to d.\nAnswer: 52*d*g*s + 176*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2977 (b) -0.6 (c) 1 (d) 4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -4 - (8 - 10). Let j(g) = g**2 + 3*g + 1. What is the least common multiple of 5 and j(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 534*r**2 - 270*r**2 - 266*r**2. Let t(d) = 23*d - 2. Calculate n(t(w)).\nAnswer: -1058*w**2 + 184*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6) - 14\/(-4). Let h be -7*(-4 - (-110)\/35). Suppose -y = 2*y - 3*z + h, -4*y - 4 = -2*z. Solve -p*q = -y + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-342)\/69 + 5). What are the prime factors of 4*t*((-2)\/(-3))\/1?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) -0.113754 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:39 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 95098 = -3*r, -8*r + 5*r = 2*i - 47546. List the prime factors of i.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzwkzdzzz. What is prob of picking 1 d, 1 z, and 1 k?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -0.1, 5, 2215\/64?\nAnswer: 2215\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218807 is divided by 406266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 44b6 (base 12) to base 5\nAnswer: 221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -46. Suppose 0*m = 3*m + d + p, -4*m = 2*d + 20. Let o(z) = -z - 5. What is o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3499, -0.06, -0.22?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (sqrt(66)\/sqrt(6))**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -2899\nAnswer: 31889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*(-56)\/84. What is the nearest to 0.1 in 2, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (91\/35)\/(-1 + (-66)\/(-90)) and 18\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m + 83. Let t be n(6). Suppose -w - 3*w + 5 = -v, 0 = 2*v - 4*w + 2. Suppose 4*q = a + 1, v*q + 17 + 1 = -3*a. Put q, 1, t in descending order.\nAnswer: t, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3696 + 2005 = -159*x + 12359 - 58 for x.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 40*f**2 + 1 - 39*f**2 - 6*f - 1. Let r(s) = s**2 + 26*s. Let c(g) = 13*g. Let n(q) = -5*c(q) + 2*r(q). Determine 13*k(y) - 6*n(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668.5302 millilitres to litres.\nAnswer: 0.6685302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:27 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299701 is divided by 85174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/4, -0.4, -2, 0 in descending order.\nAnswer: 11\/4, 0, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a decade in years?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 521\/42 - 77\/6. What is the third biggest value in 2, -1, 4.7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 7*i**2 + 7*i - 10. Let s = -3 - 3. Let l be s\/51 - 0 - (-700)\/(-119). Let m be o(l). Is -14 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/21*15\/(-10). Let p = 76 - 51. Let u = p + -24. Which is bigger: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13359\/5 + 2672. Which is the closest to -1\/5? (a) p (b) 4 (c) 2.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-22)\/12) + (-2)\/(-12). Let k = -9 + 11. Let t(p) = -1 + 5*p - 6 + k. What is t(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -17*j - 4. Let h(y) = 494*y + 117. Determine -4*h(z) - 117*r(z).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 74.298 (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/21)*g*g**(-11)*(g**(-5\/6))**(-2\/7) assuming g is positive.\nAnswer: g**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 1\/4, 13\/3, -90?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/3))\/x*x)**(1\/14)\/(x\/((x**(-4)\/x)\/x)*x\/(x*x**(-1))))\/(((x\/(x*x*x**(-1\/2)*x*x))\/x)**(21\/4))**(-17) assuming x is positive.\nAnswer: x**(-53819\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -326585435.94 minus -5?\nAnswer: -326585430.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 2*h + h)*(-986 + 303 + 15 - 369 - 632).\nAnswer: -8345*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3920 and 392.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2 + 32*k**3 - 33*k**3 + 7 + 3 + 20*k**2 - 19*k. Let m be a(19). What is the greatest common divisor of 60 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 7*w**2 + 6*w + 2. Let t be n(-6). Let c(l) = 4 + 0*l + t*l - l**2 - 4*l. Let h be c(-3). Solve 2*f = -h - 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g. Let i(k) = 7*k + 2. Let l = 1 - 2. Let b(p) = 380 + 393 - 740 - 7*p. Let s be b(4). Determine l*i(j) + s*c(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38977489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 32*x - 236. Let h be r(42). What is the greatest common factor of h and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*q**3 + 104*q**2 - 172*q + 40.\nAnswer: 4*(q - 1)*(q + 5)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101 * -145942.\nAnswer: 14740142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 79.\nAnswer: 23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 23*w**2 + 80*w - 78. What is a(19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75242 is divided by 134.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.523 + -0.513. Let h = z - 2.01. What is the closest to -1.4 in h, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 21*m**2 + 21*m - 22. Let z be d(20). Let g be z\/6 + 0 + 2. Let v(y) = -2*y**3 - 8*y**2 + 4*y - 28. Let k be v(-5). Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1338002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 7*r = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 2*d - 4*d - 4. Let t be 1*6 - 2 - 1. What is b(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 18. Let z = 77 + w. What is the greatest common divisor of 28 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a*a**3)\/a*a)**22 assuming a is positive.\nAnswer: a**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppfffffkffpfpffpf. What is prob of picking 4 p?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 16 - 9*p + p**3 + 2*p - 3*p + 13*p**2 - 2*p. List the prime factors of m(-10).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037593829?\nAnswer: 3037593829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1596 and 19\/24.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 5*i - 43. What is t(-9)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 smaller than 1\/59194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -303*h - 35 = 5*i - 308*h, -3*i = -4*h + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 51578*w + 2733645. What is p(-53)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= 15535929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -299.999623 + 300. What is d rounded to 5 decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 7*v**2 - 61. Suppose -5*m = -6*g + 5*g - 37, 2*m = 5*g + 1. Give f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 13 + -30 + 5 + -2 + -11\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*1)\/sqrt(5) + -3.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3 - 11042*h**2 - 15268288*h - 76065640 = 0?\nAnswer: -2758, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 20221?\nAnswer: -20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137993999 is divided by 3270.\nAnswer: 3269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (169 + 174 - 66)*(-s - 2*s**3 + s) in the form v*s**2 + l + g*s + h*s**3 and give h.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 286 = -334. What is the smallest common multiple of 14 and b?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c + 4*a, 0 = -5*c + c - 2*a + 6. Let z = 21 - 13. What is the smallest common multiple of z and (3\/5)\/(c + 116\/(-40))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(256)\/(sqrt(8) + sqrt(88)\/sqrt(99)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 28*j + 7 = -r, 0 = 4*r + 3*j + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:25 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-808 + 805)\/((5 + -3)\/42)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 29 + -2 + -9 + 6. Solve -n + 4*g**3 - 28*g + 18 + 6 + 24*g**2 = 0 for g.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -481312.\nAnswer: -5\/481312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 77, 83, 89, 95?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-10 - -42) + (-24 - -10)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:13 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from uddddduddduudd?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 9912 - 19815 + 9903. Let l(q) be the first derivative of -q**2\/2 + 2. Calculate t(l(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.643956 millilitres in litres?\nAnswer: 0.002643956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21010122110 (base 3) to base 12.\nAnswer: 69333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 10:45 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(1 + (sqrt(11) - sqrt(99))*1))**2 - ((sqrt(132)\/(-5*sqrt(12) + sqrt(12) - sqrt(12)))**2 + (-4*sqrt(33))\/sqrt(3))).\nAnswer: 3342\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 199001421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 144?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 452800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/3 - -5\/6. What is the second biggest value in a, 2\/5, 0.22?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/362175 and -46\/217305.\nAnswer: 1086525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.15409 and 4498411.\nAnswer: 4498410.84591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - 1. Let x = m - -12. Which is the nearest to -1? (a) -5 (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16037\/2585 - 2\/517. Find the common denominator of -31\/27 and j.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33559264, -33559269, -33559276, -33559285, -33559296, -33559309, -33559324?\n\"Answer: -v**2 - 2*v - 33559261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let q(g) = g**3 - 5*g**2 - 2. Let c be q(5). Let w(m) = -12 - 4*m - 18 - 13 + 42. Determine c*u(l) + w(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 + d + 5. Let i(f) = -f**2 + 2*f + 3. Let g be i(4). Let s be o(g). Let p(v) = v + 2. Let b be p(-2). Is b <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12975, -0.3 in descending order.\nAnswer: 12975, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 5*y**4 - 1 + 0*y + 2*y**3 - y - 2*y to the form h*y**3 + f*y**2 + s*y + t + o*y**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6*(-3)\/36?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717549 (base 10) in base 9?\nAnswer: 1313256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4)*(-3 - 1 + 6)*(0*m - m**3 + 0*m) + 0*m**3 - 4*m**3 + m**3 in the form j*m + d*m**3 + k + t*m**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from abmaaec?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*z = 2*z + 26, -7 = -3*z + 5 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (2*sqrt(363) - sqrt(363))*3)\/(sqrt(11) + sqrt(66)\/sqrt(54)))\/(-4*(sqrt(147) - 3*sqrt(147))*5).\nAnswer: -3*sqrt(11)\/560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 0 + 4)*-3)**2 + -3.\nAnswer: 792*sqrt(19) + 20832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 1802*o**2 + 597*o**2 + 645*o**2 + 597*o**2 to p*o + x + g*o**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30504 and 820?\nAnswer: 152520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -70, 2, -5, 5 in descending order.\nAnswer: 5, 3, 2, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 + 145\/7. Let z be 2 + a\/3 + 0. Let v(s) = s**2 - 6*s - 1. What is the units digit of v(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 - 178. Let h = 181 + s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31120 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 7*n**4\/24 - 5702*n**2. Let v(y) = 93*y - 3. What is v(r(g))?\nAnswer: 651*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**4 - 3*k**4 + 7*k**3 + 3*k**4 + (-2*k**2 - 2*k**2 + 6*k**2)*(2*k**2 + 0*k + 0*k) to the form n*k**3 + q*k + v + x*k**2 + a*k**4 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 17*i**2 + 6*i - 69. Let z be o(17). Suppose -z = -10*b + 187. Solve 0 = -4*a - m, 0*m + b = 2*a - 5*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-27))\/(6\/(-105579)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 12 + 2 = 0. Let a(o) = -o + 6. Let f be a(7). Let j be ((-3)\/f)\/(1 + 0). Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020 + -20220201?\nAnswer: -21000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g - 15. Let y be v(-3). Let l be (40\/y)\/(8\/12). What is the lowest common multiple of 12 and (75\/l)\/((-3)\/(-12))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -30. Let z(n) = 4*n**2 - 11*n - 5. Let o(i) = -5*i**2 + 12*i + 4. Let c(s) = -3*o(s) - 4*z(s). Is c(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 1. Let o = v + 10. Factor 0*m**3 + 2*m**4 - 5*m**3 + m**o + 2*m**2.\nAnswer: 2*m**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4156743017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 - 14 = 3*f, 39 = 4*m + 3*f. Let n = m - -548. Suppose -82 = 2*x - n. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 0*u + u + (-2*u - u + 5*u)*(1 - 4 + 5) + u + 0*u - 3*u to g + o*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q = -27*q + 3*s - 13, -8*q - 19 = -s. Let i(z) = 8*z**2 + 17*z + 4. Calculate i(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from {g: 2, a: 4, r: 2, y: 3, z: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 15, -4*i + 3*f = -10 - 25. Suppose y + 3*k - 61 = 0, 5*y - 384 = 2*k - i. Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = -3*q. What is the smallest value in 1\/4, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.12 and 2478.7267?\nAnswer: 2478.8467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -344*f + 2414. Let h be l(7). Let c(n) = 2*n**2 - 7*n - 9. What is c(h)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let a(w) = 3*w. Let h(k) = 7*k. Let t(g) = 9*a(g) - 4*h(g). Calculate t(n(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s**3 + 4*s**2 + 5*s**2 - 10*s**3 in the form x + i*s + w*s**3 + o*s**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1684 + 3 = 281*w + 282 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 12*n**2 - 51637*n + 619743. Determine v(12).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*i. Suppose -3*v + i*v = 240. Let c = -45 - v. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 38. Let v(i) = -i - 11. Let y be v(0). Let t = -8 - y. Calculate the highest common factor of t and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50.2 + 29.1. What is z rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 less than or equal to 5460\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(297))\/sqrt(9))\/sqrt(3).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h - 8*h)*(6*h**2 + 2*h**2 - 2*h**2) in the form z*h**2 + b + x*h**3 + s*h and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104733 and 7758?\nAnswer: 209466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*17.\nAnswer: 25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(12\/(-184)) + 3\/9. Is -17 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1752 + 3724. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -2*y + 1\/3*y**3 + y**2 + 0. Let g(i) = -i**2 + 1. Let c be 3 - (3 - 7)*3\/(-6). What is c*a(k) - g(k)?\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238*v - 13*v**4 + 238*v)*(3 + 23 - 9 + 2*v)*(0 + 2 - 3).\nAnswer: 26*v**5 + 221*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (460\/(-575))\/((-2)\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 45. Suppose 0 = 12*u - w*u + 112. Suppose u*f = 57*f. Solve f = 3*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 - -40dd?\nAnswer: 4120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + -225*(-1254)\/(-3069).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 5*m + 2. Let s be b(4). Let h be 71354 + s + (-2 - -5). Suppose z + h = -21645. Round z to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 11. Let g be j(-13). Let a(l) = 9*l - 5*l**3 - 2 + 7*l**2 - 3*l**g - 3*l + 4. Let n(d) = -d**3 + d**2 + d. Let k = -3 + 9. Give k*n(p) - a(p).\nAnswer: -p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(1 + -5 + 3). Solve -2*m = w*d - 16, -m + 13 = 5*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*p + 5*a = -30, 0 = p + 3*a + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (530*y + 316*y**2 + 321*y**2 + 1240*y**2 - 530*y)*(-1 + 3 - 1) in the form w*y**2 + x*y + s and give w.\nAnswer: 1877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/3 - 14*w**3\/3 + 16*w**2 - 6*w - 27.\nAnswer: (w - 9)*(w - 3)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 - -0.039.\nAnswer: -0.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, p: 2, g: 2, q: 2, b: 2}. What is prob of picking 1 b, 1 p, 1 q, and 1 g?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -141, -19, 97, 207?\n\"Answer: -3*n**2 + 131*n - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 7*v**5\/5 - 10*v**3\/3 + 3*v + 33. What is the third derivative of t(c) wrt c?\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = i - 26, -10 = -2*i. Calculate the smallest common multiple of 9 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 15 + (12 - 18 - 37 - 2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -3*sqrt(5)*2)*1.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/9 - 200*h**3\/3 - 1850*h**2 - 13500*h = 0. Calculate h.\nAnswer: -270, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1638 - -357083\/218. Are -1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3793, 3757, 3689, 3583, 3433, 3233, 2977?\n\"Answer: -q**3 - 10*q**2 + q + 3803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/40005 and 107\/210?\nAnswer: 80010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 27\/1180 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 517 + 112614?\nAnswer: 113333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100546229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2. Let w(t) = 46*t**2 - 3643*t. What is w(j(m))?\nAnswer: 184*m**4 + 7286*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1230 = -594. Which is bigger: -320 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*j + 70, 321*l = j + 324*l - 34 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 16*c**2 - 45*c**2)*(-3 - 3 + 7 + 3*c).\nAnswer: -93*c**3 - 31*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 7*t - 20 = -2*j, -4*t = -4*j + 68. Let d = t + 45. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 34 + (-3747)\/(-75).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 98?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 6150*b. Let y(r) = -6*r**2. What is z(y(i))?\nAnswer: -72*i**4 - 36900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:55 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/11 + 102*c**4\/11 - 962*c**3\/11 - 1062*c**2\/11 = 0.\nAnswer: -59, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -8*b - 5*r, 0 = 2*b - 5*r - 464 + 253 + 238 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/((-1)\/((-32)\/1368)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/4 - 505*a\/4 + 253\/2 = 0.\nAnswer: -506, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17262, -34411, -51562, -68715, -85870?\nAnswer: -103027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 122035 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*k**5 + 41*k**3 - 158*k**2 + 4*k - 16 wrt k?\nAnswer: 1620*k**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 21 - 3 = 0. Let y(r) be the first derivative of -9*r**2 - x*r + 5\/3*r**3 + 11. Factor y(k).\nAnswer: (k - 4)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544967904 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*i**3 + 2*a**3*i*r - 205*a**3*z - 15*a*i**3*r*z + 2*i*r*z with respect to r.\nAnswer: 2*a**3*i - 15*a*i**3*z + 2*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -592 - -2508. What are the prime factors of h?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q - 4*q. Solve -4*v = -10 + q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-189)\/(-8))*1\/(-28)*21?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 28. Let n = w - 13. Let a be 2\/(((-16)\/n)\/4). Sort -3, a, -4 in decreasing order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2706 and 11946?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3 + 1)**2 - 2*sqrt(2448).\nAnswer: -28*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w*w**(-6))\/w)*w*w**(-4))**48\/(w**(-1\/2)\/(w**(-4\/3)*w)*(w*w*w**(-1))**21) assuming w is positive.\nAnswer: w**(739\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2445 - -0.0445. Sort 3, 77, d in ascending order.\nAnswer: d, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703, 693, 673, 637, 579, 493?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 943*f - 2829. What is m(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(147) + -3)**2 - (3 + -1*sqrt(147) - (-3 + sqrt(147)*2)).\nAnswer: -35*sqrt(3) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 - 4*s**2 - 3*s**4 + 5*s**4 + 0*s**4 - s**4 + (-2*s + 2*s + s**2)*(-2*s**2 + 2*s**2 - 2*s**2) as x*s**3 + m*s**2 + v*s + z + g*s**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.2 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 61 = u + 4*y, 0 = -4*u - 4*y + 324. Calculate the remainder when u is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from jjjjojkyk?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:10 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -309200 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -12 + 9*z + 7\/3*z**3 + 15\/2*z**2 + 1\/4*z**4. Find n such that o(n) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 97. Suppose v = -27*h + 34*h - 140. Suppose -18*x = -h*x. Solve 2*q - 4*m - 16 = x, -m + 7 = 2*q - 2*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8\/23, 0.14, -48?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -680 - -1821. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-28)\/(-56))\/(18\/4) and 2\/(-8) - (2 - 24).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 7*b. Solve 3 = -c + 2*i - 4, -3*c - i - 7 = b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/16 - -5)\/(-2 - 1). Let n = -1037\/21 - -358\/21. Let j = n + 31. What is the biggest value in s, j, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32191*t**3 + 32111*t**3 + 32118*t**3 - 96421*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 2*b**2 + 3*b - 4*b**2 - b**4 + (40*b + b - 10*b)*(16*b**2 + 3*b**3 - 16*b**2) + 5*b**3 - 3*b**4 - 5*b**3.\nAnswer: 89*b**4 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 - ((-2)\/1 + 4). Let s be (-6)\/1*8\/t. Which is the second biggest value? (a) -3\/10 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0*r**2 + 19\/12*r**4 + 0 + 3\/2*r**3 - 18*r. Find the second derivative of n(f) wrt f.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**3 - 10*l**2 - 10. Let v(p) = p**2 - p + 1. Let f(u) = -u**3 - u**2 + 4*u - 1. Let y(d) = f(d) + 4*v(d). Give 6*r(t) + 20*y(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-534*h + 264*h + 257*h + 5)*(-h**3 + 0 + 0).\nAnswer: 13*h**4 - 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3725.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 348 + (2 - 2)\/(42 + -43). Calculate the greatest common factor of t and 5829.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -504 and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11592 and 92568.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 598 = -3*k - 400, -7*k = -4*x + 3962. What is the lowest common multiple of x and 45?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 4*m + 9*m)*(1 + 5 - 4 - 6 + 4 + 1 + (-1 + 3 - 1)*(3 - 3 + 1) + 6 - 2 - 3 - 3 + 2 - 1 + (-2 - 3 + 4)*(-1 + 2 + 1) + (-7 + 3 + 2)*(11 - 4 + 4)).\nAnswer: -276*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 0.12038, -3, 1, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7323 - 2.8323. Let v = 0.052 + 59.948. Which is bigger: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 0*y + 3*y - 2*y + 2*y**2 - 2 + 2*y**3 + y**3. Suppose 5 = -3*b - 1. What is h(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 16*c = -33. Calculate the smallest common multiple of c and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/27024568 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 6*x + 5. Let j be u(-6). Suppose -3*z - v = 2*z - 25, -j*v = 2*z - 10. Let n be ((-6)\/(-8))\/((-18)\/72). Sort n, z, -1 in descending order.\nAnswer: z, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2093b (base 16) to base 3.\nAnswer: 20210001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 417299023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36384139 + -36385947.8853. Let v = -1809 - w. Round v to three decimal places.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 11:49 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 4. Let t be g(6). Let o = 13 - t. What is the third derivative of 7*n**5 - 6*n**2 - 4*n**5 + o*n**2 wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/((-3)\/63). Let m(l) = 2*l**3 + 17*l**2 - 12*l - 22. Let g be m(-9). Solve 5*z = 2*z + k - c, -1 = -3*z + g*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -1. Let n = 322 - 2258\/7. Let g be (75\/6)\/5 + 48 + -53 - -3. What is the third smallest value in h, n, g, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -16, -144, -2\/3, -1\/4, -0.3, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 206*q**3 - 6376*q + 12757*q - 6381*q to the form v*q + r*q**3 + t + g*q**2 and give r.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 91, 139, 189, 241, 295, 351?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.016*-0.02617.\nAnswer: -1.02104872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43192, 43193, 43194, 43195, 43196, 43197?\nAnswer: 43198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 4*u**3 - 8 + 2*u**2 + 10*u - 4*u**3 + u**3. Is 3 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 32. Let p be (-26)\/8*(2 + -10). Suppose -2*c + 14 = -p. Calculate the least common multiple of u and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32273 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-15)*(-90)\/(-4). Suppose 2*k = -5*h - 13 + d, -3*k - h = -67. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -311*t + 46339. Determine g(149).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 4}. Give prob of picking 1 q and 1 w.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**4 + 120*t**3 - 11314*t**2 + 4276489.\nAnswer: -4*t**3 + 360*t**2 - 22628*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**5 + 74115*w**4 - 366128070*w**3 + 602402273060*w**2 + 1810503973320*w = 0 for w.\nAnswer: -3, 0, 4942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5199213 (base 11) to base 5.\nAnswer: 4321202420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (0 + 4 + (8 - 19))) + 9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/3 - 158864*x**3\/3 - 3154721312*x**2\/3 = 0. Calculate x.\nAnswer: -39716, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -350 at most as big as -350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5143*k + 14. Let a be s(-2). What is a rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/66 + 1\/33. Let z = 0.01 - 1.01. Is z <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 7.67333?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Let b = -56670\/7 - -8068. Let w = 28 + b. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + w - w - 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**3 - 5*b**2 + 10*b - 12. Let k be n(-5). Suppose 0 = -0*s - s - k. Let d = 1317 + s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2295985*g**4 + 2083472*g.\nAnswer: -27551820*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*f + 2, 0 = 4*z - 0*f + f + 8. Let w = -15 + 20. Which is the third smallest value? (a) z (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 4*i + 8*i)*(7*i - 4*i - 5*i)*(2*i - 3*i - i) in the form g*i + c*i**2 + q*i**3 + v and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122022220 (base 3) in base 5?\nAnswer: 3130444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, -42, -12, 32, 84?\n\"Answer: -s**3 + 16*s**2 - 31*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 188. Let n = -124 - -192. Let c = f + n. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233*c**3 - 2*c + 14*c**2 + 2*c - 219*c**3 - 2*c + 4 - 29 wrt c.\nAnswer: 84*c + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*g - a - 5, 3*a - 21 = -4*g. Suppose -5*u + 18 = -12. Let h(l) = -l**2 + 6*l + 4. Let r be h(u). Solve r*i = -w + 3 + g, 0 = -w + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177227 divided by -31\nAnswer: 5717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1047030 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21878 - -32432. Let y be 6\/(-33) - z\/33. Let t = y - -469. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2 - 45*t + 215. Calculate q(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 12 + 13 = 0. Let k(x) = -x**2 - 4*x + 7. Let f be k(a). Which is bigger: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t + 10. What is the smallest common multiple of 28 and a(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.637355 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 5*l - 1. Let b = 5 - 9. Suppose 2 = t - 4. Let x be 20\/t + b\/(-6). Give k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 2*w + 21 = 3*o, 0 = 5*o - 4*w - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5257.652259 rounded to the nearest ten?\nAnswer: -5260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s**2 + 0*s**2 - 2*s**2)*(-5 - 553*s - 318*s + 177*s)*(2 + 0 - 3) in the form q*s**3 + g*s + t*s**2 + u and give q.\nAnswer: 3470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 218450 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(5\/6)*a)*a)**(3\/26)\/(a\/a**(-3)*a)**28 assuming a is positive.\nAnswer: a**(-7279\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29683 = -o - m - 7675, -3*o = m - 66014. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 209, 207, 203, 197, 189, 179?\n\"Answer: -x**2 + x + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 48683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -48969.7 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-3)\/3 + 3). Solve -g + u + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*i + 2*f - 33, 2*f - 8 = 0. What is the remainder when 99 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14616028, 4, -2.\nAnswer: -14616028, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -927800 rounded to the nearest 10000?\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -50.48. Let o = -0.18 + j. Let n = 5 - 5. Put -5, n, o in increasing order.\nAnswer: -5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Suppose -3 = 5*w + 2*j, b*j = -4*w + j - 1. Suppose -18*u = -13*u - f + 7, -5*u - 5*f = -5. Is w at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from {c: 4, w: 6, r: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 8*h - 18. Calculate the lowest common multiple of 27 and l(12).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 287415860 + -1?\nAnswer: 287415858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 2. Let i(o) = -3*o**2 - 3. Suppose -12 = -0*j - 4*j. Suppose -f + j = -7. Let k(n) = f*m(n) + 6*i(n). Differentiate k(c) with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:33 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + 1826. Let u(f) = -o*f**2 - 573*f**2 - 1839*f**2 + 847*f**2 + 4*f. Let w be u(4). Round w to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + 2. Let i(u) = -2*u + 2*u + u. Let q be i(4). Which is the closest to v? (a) 1\/7 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74145 is divided by 11520.\nAnswer: 5025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -27 - (4 - 0) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -20, -32, 4, -3 in increasing order.\nAnswer: -32, -20, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:13 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913*o**2 + 1128*o**2 + 1127*o**2 + 1047*o**2 - 6*o**3 - 4215*o**2 + o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35 + b**2 + 85 - 119 + 80 + 8*b + 10*b.\nAnswer: (b + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2362, -0.9, 5559.\nAnswer: -2362, -0.9, 5559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 73578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1578 + 1628. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3638 or -3637?\nAnswer: -3638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + (-5*(1 + sqrt(2448)) + sqrt(2448) - sqrt(2448)) - (sqrt(2448) + (sqrt(2448) - sqrt(2448)*-3)*-1))*3)**2.\nAnswer: 1080*sqrt(17) + 22257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12))**(-3\/7)\/((b**(9\/4)\/b)\/(b\/b**(-1\/23))) assuming b is positive.\nAnswer: b**(3179\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v - 12*v**2 + 14*v**2 + 0*v. Let g(m) = m**2. Calculate o(g(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 7*c**4\/48 - 181*c**3\/24 - 13*c**2\/4 + 7078*c. Factor m(s).\nAnswer: (s - 26)*(7*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -54. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 3*r**2 + 5*r**2 - 2 + 1 - 2*r - 1.\nAnswer: 2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -1 - (31 + -26).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6028902 is divided by 147.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/4, -30, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 15659 and 572 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13136, 52480, 118034, 209798, 327772, 471956, 642350?\n\"Answer: 13105*x**2 + 29*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 134*q - 481 - 4*q**4 + 6*q**4 - 30*q**3 + 202*q + 225 - 52*q**2 + 0*q**4 = 0.\nAnswer: -4, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) 17414 (c) -15 (d) 0.5 (e) 2\/9 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = y - 17, 0 = y + 4*m - 13 - 8. Solve y*b + 4*t - 11 = 30, -4*b + t + 16 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*l = -5 - 156, -4*a - 3*l = -153. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/7 and 1\/(-2) + 78\/48?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-46)\/((b*b**4)\/b**(-5)) assuming b is positive.\nAnswer: b**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**2*r**2 - 656*f**2*r + f**2 + 2451162*f*r**3 - 1932*f*r + 2*r**3 + 12*r - 1 wrt r?\nAnswer: -10*f**2 + 14706972*f*r + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385, -3, -2 in ascending order.\nAnswer: -3, -2, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -d - 0*d - 4, 3*s + d = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -20 + (-10 - (-2 - 4)) - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - (1 + -3) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7451346?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31 bigger than -36901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose -t*u + 5 = -1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 29*n**2 + 20. Calculate the remainder when c(29) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let c(k) = 4*k - 7 - 4*k + r*k. What is the remainder when 14 is divided by c(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) - (-48)\/(-36). Let k(p) = 14*p - 7. Let i(b) = 7*b - 4. Let w(q) = -7*i(q) + 4*k(q). Give w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24*(-3)\/30)\/(2\/(-5)). Suppose p*t - 1 = 29. Solve -m + t*m - 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/7424 (c) 1\/5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -308 + 308 + 15*z. Let r(x) = x**2. Give g(r(f)).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/(1\/10). Suppose 2*n = 2*q + 62, -5*n + 2*q = -156 - 8. Let w(x) = -x**3 + 15*x - 4*x**2 + 23*x + 5 - n*x. Determine w(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 2*u**3 + 5*u**2 - 8*u**3 + 13*u**3 as f + b*u**2 + l*u**3 + z*u and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-2 - 2)) + 3. Suppose 3*d + 0*d - 5 = z*p, 3*d - 2*p - 2 = 0. Is 3\/61 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, h: 3}. What is prob of picking 3 u?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 7 (b) 68 (c) -55 (d) -2\/2197 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -49*g + 12. Suppose 5*n + 1 = -24. Is c(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.3184 micrograms in grams?\nAnswer: 0.0003313184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 0.05, 3, 24, -7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/8))**44\/(i\/(i*i**(2\/53)\/i))**22 assuming i is positive.\nAnswer: i**(-495\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -0.5, 1, 2, -9\/10 in ascending order.\nAnswer: -6, -9\/10, -0.5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c8c3 - 1?\nAnswer: -4c8c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 512*r**5\/35 - 144*r**4\/7 + 22*r**3\/7 - r**2\/7 + 4128. Determine y, given that n(y) = 0.\nAnswer: 0, 1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59990 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 - 3*f**2 + 0*f**2)*(224 - 7*f**2 + 203 - 3*f - 390)*(5 - 2 - 2).\nAnswer: -28*f**4 - 12*f**3 + 148*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 12:17 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 1 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.8. Let m = -1\/5293 - 10569\/89981. Let c = 23\/2 + -11. What is the third smallest value in g, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5109 + -408733\/80. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - 52\/(-16). Suppose -24 = -4*z + 4*a, 8*z - n*z - a - 30 = 0. What is the third derivative of 4*v**2 + v**2 + 0*v**2 - 4*v**4 + z*v**4 wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 + 0.29\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9 - -0.9. Let g = -16 - -17. Which is the nearest to g? (a) 0.5 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 35. Let w = c + 62. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 130 + 348*o.\nAnswer: 348*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5299859 is divided by 77934?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0*k**5 - 53*k + 1\/6*k**6 - 15\/2*k**2 + 20\/3*k**3 + 0 - 5\/2*k**4. Let x(n) = 0. What is n?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (-1 + 2 + -2). Let d = 168 - 155. Suppose -z + 4*t - d = 7, 2*z + 2*t = 0. Sort z, c, 5 in descending order.\nAnswer: 5, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v + 363. Suppose -338 = 1894*q - 1896*q. Let j = q + v. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 801 and 1.2116?\nAnswer: 799.7884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 8. Let a(x) be the third derivative of -x**3\/3 - x**2. What is 9*a(i) + 2*l(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*k + 2303*k - 5022 = 23664 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109407863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 128*g**3 - 3760*g**2 + 8000*g.\nAnswer: 4*g*(g - 50)*(g - 2)*(g + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 4*o**2 - 5*o - 3. Let q be f(-3). Let x = -121 + 123. What is the closest to x in -0.4, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225534019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 4\/9*p**3 + 8\/3*p**2 + 163 + 4*p. Factor b(s).\nAnswer: 4*(s + 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11814*q**3 - 2*q**2 - 7*q + 8. List the prime factors of t(1).\nAnswer: 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w**(2\/9)*w*w)\/w*w)*w)*w)\/(w**(-1)*w)*w**(-7)\/w**4)\/((w**(-2\/5)*(w\/w**(-2\/19))\/w)\/((w\/w**(-1))\/w)**0) assuming w is positive.\nAnswer: w**(-7253\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 take away 19?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 21 = 4*z, -2*a + 0 - 2 = -z. Suppose -a + 3 = -c + w, -4*w = -2*c - 8. Suppose c*p - 4*p + 24 = 0. Solve -2 = -2*m - p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*w - 30, 5*w - 1 = 3*j + 1. Let x be 2*(28\/(-24) + 1). Which is the closest to w? (a) -3\/5 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*w**2 - 108*w - 1124*w**2 + w**3 + 108*w + w**3.\nAnswer: 2*w**3 - 956*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/(p*p**11*p)))\/p)\/p**(-1\/9))**31 assuming p is positive.\nAnswer: p**(3658\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66444002 is divided by 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 178914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 + -164. Let m be (1\/(-21))\/(29\/s). Which is bigger: 0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose -5*i + 16 = v*b - 0*b, -3 = 3*i. Suppose 5*y - 23 = -4*g, -y + 2*y = 5*g - b. Solve 0 = -0*u - u + g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*l**3 + 39*l**2 + 1642*l - 1648*l + 6*l**3.\nAnswer: -3*l*(l - 2)*(6*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**2 - 22*z + 32. Let y(b) = b**2 + 2*b - 1. Let v(p) = -a(p) - 6*y(p). Differentiate v(m) with respect to m.\nAnswer: 4*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -433*j + 54. What is the remainder when 7665 is divided by o(0)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5299 (base 10) in base 15?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -168*p**2 - 3. Let h(y) = 504*y**2 + 8. What is -3*h(b) - 8*m(b)?\nAnswer: -168*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -426 + 428.03. Round k to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 163464860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -595 + 570. Let o(i) = 14*i**2 - 25*i + 134. Is o(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -680, -678, -676, -674, -672?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/4)\/(25\/(-1280)*-64)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/((-177)\/295)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214.97 - -208.9824. Let h = k - -4.992. Let s = h - -1. What is s rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-5))\/((-8)\/20). Let x be 1*(-2 - 0) - p. Suppose -b = 2*b + 2*w + 1, -8 = 4*b + w. Put b, x, -5 in descending order.\nAnswer: x, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 8000004) + (13 - 10). What is a rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 2*l**2 - 2*l + 4. Determine x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b9 (base 14) in base 11?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-30)))**(-42)\/((s*s*s\/(s*s\/s**10)*s)\/(s*s\/((s*(s**8*s)\/s)\/s))) assuming s is positive.\nAnswer: s**1242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54579254 and 2586?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 20*k + 11 = 0, -4575*k + 4566*k = 2*y - 40 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 345\/(-12) + (-8 - (-105)\/12). Let z(m) = m**2 + 39*m + 341. Is 13 a factor of z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/15))**(2\/85)\/(l**(1\/16)*l**(6\/11)) assuming l is positive.\nAnswer: l**(-135721\/224400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*p + 1315, -5*p - 226 = -3*g + 1084. Let x = -442 + g. Solve -4*f - 4 = y + 14, x*y = -3*f - 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*x - 18, -x = -5*r - 2*x + 9. Find the first derivative of -j + 0*j + 2*j + r wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 90 = -25*c, 3*c + 13591*q = 13589*q + 46 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*k - 3*k. Let h be -2 + 1 + 20\/k. What is the third biggest value in -3\/7, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s*s*s**(-2)*s))*s**(-10))\/(((s*s**(-15))\/s)\/(s*s**(-4\/5))) assuming s is positive.\nAnswer: s**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xojjojxoojo. What is prob of sequence oxoo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + z - 5*n + 32, -5*z + 3*n - 27 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3995.91 + -4014. Let j = -20 - f. Round j to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb8 + 112b2?\nAnswer: 102b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-2) - ((-9)\/(-2))\/(-9). Let u be 32\/(-18) + (-8)\/t + -2. Which is the closest to -2? (a) -0.2 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3957 to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/12 - (-616)\/(-165)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 6*u - 65. Suppose -11*y + 15 = -u*y. Let b be (9\/27)\/(y + (-24)\/(-9)). Is b <= -1\/190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 6 - 22. Suppose g*v - 10 = 3*v. Suppose 0*a + 3*a = 0. Solve -v*m + 0*m + 4 = a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 574549875 to the power of 1\/3, to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**5\/60 - 5*s**4\/24 + 2*s**3\/3 - s**2\/2 + 10. Let v(g) be the second derivative of x(g). Give v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93.94 + 94. What is the third smallest value in -0.4, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2203, 5030, 7857, 10684, 13511?\nAnswer: 16338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:55 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 571, 3, 1.67 in increasing order.\nAnswer: -0.5, 1, 1.67, 3, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 4*o**5 - 54*o**3 + 24*o**4 - 41*o + 5*o + 64*o**2 - 2*o**3 + 6.\nAnswer: -4*(o - 2)*(o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/7*36\/324?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4256464 to the nearest integer?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 1, 0.0082?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m - 4 + 1 - 1 + 3.\nAnswer: 13*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2118*k - 856. List the prime factors of m(-7).\nAnswer: 2, 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/((-9)\/30). Find the second derivative of 4*q**5 + 2*q**x + 3*q + 6*q + 2*q**5 wrt q.\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379101813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 6*i + 8. Let j be q(7). Let m(k) = -3 - 2*k + 4 + j*k**2 - 4*k**2. Let g be m(1). Calculate the greatest common factor of g and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 2561.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*g**2 + (-3 + 3 + 2*g)*(-1 + 1 + 2*g + (-3 - 3 + 5)*(g - 3*g + 3*g)) to d*g**2 + u*g + h and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (47 + -33)) + 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, v: 3, u: 3, h: 2}. What is prob of picking 1 g and 1 u?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 33. Suppose k - 591 = -3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.45 - -4123609.\nAnswer: 4123563.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 2*n**6\/45 - n**5\/120 + n**4\/24 + n**3 - 5*n**2. Let a(j) be the first derivative of l(j). Does 19 divide a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17b7 + -1b?\nAnswer: 179c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 0)*(-6)\/(-45). Which is the closest to -1? (a) 1 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d818 + 3?\nAnswer: -6d815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 6138.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -33 - 16 + 57. Let m(q) = q + 7. Determine 2*m(y) - 3*t(y).\nAnswer: 2*y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3\/18 - 3*s**2\/4 - 5*s\/3 + 16. Let b(d) = 0. What is d?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*b**3 - 449*b**3 - 2*b + 2*b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73\/3 + 24. Put y, 2, 5 in ascending order.\nAnswer: y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41551 and 562623.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144*-5.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 184 + 172 = 0. Solve 0*t = -t - k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -7, -3, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1, 4*a - 251 - 135 = 2*d. What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*o + 2*m + 24, -5*m = o - 6. Let l(z) = z**2 + 3*z + 2. Let y be l(-3). Let x be (2\/3)\/(y\/9). Which is greater: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 24*d + 102. Let h be (3900\/(-9))\/(d\/1440). Round h to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 + 3 = 0. Let r = 3 + f. Suppose y + 4*a - 6 = -0*y, -4*y = -r*a - 24. Calculate the highest common divisor of y and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 + -153. What is the nearest to -2\/5 in 0.1, 3, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 + 98*s**2 + 168*s - 4383. Calculate a(33).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d. Let t(a) = -47*a**2. What is t(f(v))?\nAnswer: -1692*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 758447198 to the power of 1\/4, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 19. Let k = -98 + 88. Give l(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926560 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 66. Let d be u(0). Let k be 0 - -3 - (5 + -1 - 1). Let p be 1*(8 + k)*(-3)\/(-4). What is the greatest common factor of d and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 15, 3*p - 5*c + 147 = 5*p. Is p + 1 + (-4 - -2) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 59304.95 and 40.\nAnswer: 59344.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 314245, 628745, 943245, 1257745, 1572245, 1886745?\n\"Answer: 314500*v - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 43 = 412. What is the remainder when g is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i = -32*i - 708. What is the remainder when i is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 518782 and -10.\nAnswer: 518772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -89.\nAnswer: 53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 16 = -16*j. Let u(s) = -14*s - 1. Let l be u(j). What is the highest common divisor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -357520464?\nAnswer: -357520454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13*m**2 + 9*m + 9. Suppose -4*k = 11 - 19. Let f(y) = -2*y**2 - 5*y**k - 1 + 6 + 5*y. Let o be (8\/(-12))\/((-4)\/66). Calculate o*f(b) - 6*l(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 3*f**2 + 3*f - 6. Let z be q(4). Suppose z = -2*n + 72. Let v be 3 + 2 + -5 + 100. Calculate the highest common divisor of v and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 290.7, -2\/113?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -763 - 3?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123*d - 34*d - 58*d)*(3*d**2 + 2*d**2 - 3*d**2) to l*d + u*d**3 + h*d**2 + p and give u.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q = -10. Let r be (4 + -3)*(q + 24). Suppose -2*z = -g - 0*g + r, g - z = 20. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1214581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189000 and 3024000.\nAnswer: 3024000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7633256 and 34349652.\nAnswer: 68699304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 82900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2 + 27989*z - 1739162 = 0.\nAnswer: -28051, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000754742 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 373.\nAnswer: 372.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*b - 13. Suppose -4*o = -8 - b. Which is smaller: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_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: Is 10359719827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13016, 16, -42 in decreasing order.\nAnswer: 13016, 16, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -12.2. Let c be 10\/(-40)*2 - 2\/(-12). What is the nearest to -1 in r, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*s + 3688870 + 873428. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/8, -0.5, 10\/13 in increasing order.\nAnswer: -0.5, 10\/13, 9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 7. Let f(d) = d**2 + 21*d + 11. Let r be f(10). Let a = 324 - r. What is the highest common factor of a and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = f + y, -4*f + 0*y + 3*y + 865 = 0. Suppose -5*s + 395 = -f. Suppose s = 3*u + 9. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-25))\/(476\/3570).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64957 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/120 + x**5\/80 - x**4\/48 - x**3\/24 - 9*x. Factor o(b).\nAnswer: b*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 7*r**2 + 7*r + 44. Determine g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in -1\/2, -1\/6, -2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 4*n + 48727, g - 6680 = n + 3066. Suppose 40*h = 8577 + g. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -15?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = -4*v + 3*t + 160, 5*t = 2*v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)*n**(-3)*(n**(-7)\/n)\/n**(2\/15))\/(n*n**(-1)*(n*n\/(n**(6\/13)*n*n))\/n)**(-13) assuming n is positive.\nAnswer: n**(-1763\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 66*b - 18. Let r(t) = 99*t - 27. Determine -5*r(c) + 8*z(c).\nAnswer: 33*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 679244209 to the power of 1\/2, to the nearest integer?\nAnswer: 26062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/2 - -5) + -5. Let f be u*(-3 + (-14)\/(-4)). Let q be f\/2 - (-22)\/12. What is the smallest value in -2, 4, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iamaaaaaiiaiii. What is prob of picking 1 a and 1 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30*(-10)\/(-80))\/((-33)\/(-88)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 2, y: 1, j: 1, z: 1, v: 1}. Give prob of picking 1 v, 1 j, and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 2*z**2 + 4*z + 3. Let y(m) = 3*m**3 - 5 + 3 + 7 - 4*m**2 + 7*m. Suppose g + 17 = -5*f - 3, 0 = f + 4*g + 23. What is f*y(p) + 5*o(p)?\nAnswer: p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 + 0 = 0, 4*m - 23 = 3*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, z: 3, l: 1, a: 1, p: 2}. What is prob of picking 1 l, 1 z, and 1 o?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*i**4 + 173 wrt i.\nAnswer: -236*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140311 is divided by 2462.\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(((-96)\/9)\/(-8))*(-8)\/96?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647 - 220 - 225 - 220 - 7*i.\nAnswer: -7*i - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90359.11 grams in milligrams?\nAnswer: 90359110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 781662 and 114?\nAnswer: 14851578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116269*f**3*v**3 - 2*f**3 + 2*f**2*v - 83*f**2 - 526*f*v**5 - 739*f*v + 5 wrt v.\nAnswer: -697614*f**3*v - 10520*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -114858108, -114858107, -114858106?\n\"Answer: k - 114858109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 4*s**2 - 7*s**2 - 2*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -56.\nAnswer: -56, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 738*z**2 + 562*z - 978. What is the first derivative of h(a) wrt a?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 28. Suppose -t = 2*d - 13. Solve -f - d*k = -4*k - 3, f - 5*k + 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2. Let f(t) = -6*t - 5. Calculate l(f(q)).\nAnswer: -144*q**2 - 240*q - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 7865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 3*u**2 - 18*u**2 in the form v + f*u + m*u**2 and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 27*x**2 + 137*x - 73. Give c(-19).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*(-6)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 585092327*r - 290911627.\nAnswer: 585092327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 2*z**7\/21 - 3206*z**6\/15 + 128320*z**5 + 643204*z**4\/3 + 9511*z. Solve q(w) = 0 for w.\nAnswer: -1, 0, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -1 (c) -3.16288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19481.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 22*v**3 + v**2 + 3*v - 3. Let n be b(1). Suppose 19*r + 8 = n*r. Suppose 5 + 7 = r*f. Calculate the greatest common factor of f and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3580357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from udpuipuud?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 5*n**2 + 11*n - 118. What is the remainder when s(7) is divided by 50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-90)\/(-9))\/70)\/(12\/(-14)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2447, -4895, -7343?\nAnswer: -9791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3591 + 24316. Suppose 3*u = -3*w + 11964, -3*w = 5*u + 783 - o. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/3 - 2*m**2\/3 - 266*m\/3 + 1274\/3 = 0. What is m?\nAnswer: -13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = 5*s, -2*p = 11*s - 7*s - 50. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1977150*u**2 - 64249*u - 2 wrt u?\nAnswer: -3954300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 + -4?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 3:01 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71.76 - -71.36. Which is the closest to -2\/3? (a) q (b) -171 (c) 6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {d: 1, n: 1, k: 3, t: 5, s: 4, w: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2611 = 2*s + 5*j - 4*j, -5*s + 6530 = 5*j. Suppose 5*q + s = -o, q - 1073 = 5*q - 5*o. Let z = -182 - q. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 23 + 27692*g - 27694*g - 8. Give z(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177096 (base 11) to base 14.\nAnswer: 71692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.32 and 2433.496.\nAnswer: 2433.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233 + 235. What is the biggest value in 3\/7, 5, a, 0.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/40 - m**5\/20 + m**4\/8 - 11*m**3\/6 - 2130*m**2. Give v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -1\/4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8446 - -80451?\nAnswer: 100007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2 + 27*p - 13. Let a be l(8). Suppose 3*x = -a + 431. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = 7*t - 51. Suppose 105 = 2*p - t*d + 6*d, 0 = 2*p + 5*d - 107. Suppose 2 + 9*w + 3*w**2 - p*w**3 + 0 + 47*w**3 + 0*w = 0. Calculate w.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12450.000046 - -12450. Round v to 7 decimal places.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81950 and 117710?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:25 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-10)*(-1175)\/2115.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1 + 3 - 3 - 2. Let j(t) = -t**2 - 5*t + 7. Let q be j(-6). Let l(z) = -2*z + 3. Let h(n) = q*l(n) + b(n). Find the first derivative of h(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - -3 - (11 + (-6 - 1))) + 3 + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from bfbbfbnnbbbnbbbnfnf?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -128 - 137 - 14*q + 229. Let h be ((-10)\/(-4))\/((-5)\/10). What is the units digit of c(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127780 is divided by 2512?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 1. Let q be l(-4). Let m = -1 - q. Let g(x) = 2*x + 4*x**2 - 2*x - m*x**2. Let z(r) = -4*r. Give z(g(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32171424+16.5582\nAnswer: 32171440.5582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37146947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 282880*f**3 + f + 172891924 wrt f?\nAnswer: 848640*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/7 >= 10944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 17894*t**2 - 8936*t**2 - 8948*t**2 + (0 + 0 - t)*(-2*t + 2*t + t) + t**2 + 0*t**2 + t**2 in the form n*t + d*t**2 + f and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -50, -23, 28, 109?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 3*k**2 + 1. Let o be n(3). Which is the closest to o? (a) 2\/5 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 1c6?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 602946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 2:26 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42654)\/378 - 8\/(-28) - 140\/(-252))*1?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 = -26. Let w = p + 58. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, -9\/332, -1\/2 in increasing order.\nAnswer: -1, -1\/2, -9\/332, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3843*n - 3838*n = 25, 5*r = -3*n + 25 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3\/4, -1634, 856 in increasing order.\nAnswer: -1634, -3\/4, 2\/3, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -80, -162, -318, -572, -948, -1470, -2162?\n\"Answer: -4*s**3 - s**2 - s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 940128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millimeter in micrometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 2\/((-8)\/(-12)). What is the hundreds digit of 2013\/k - 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-21)\/(-24))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99593 and 10921?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 2466. Let a(b) = -6*b**2. Determine a(h(l)).\nAnswer: -6*l**2 + 29592*l - 36486936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -6)\/((-1)\/2). Suppose -4*v + 2 = a*w - 2*v, 2*w + 3 = -3*v. Calculate the smallest common multiple of ((-8)\/(-10))\/((-2)\/(-30)) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 23 = 105. Suppose 1413 + 3462 = 39*a. What is the remainder when a is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2 + n**2 + 3 + n**3 + 3*n - 2*n. Let m(z) = -z**2 - 2*z - 2. Let w = -192 + 190. Calculate w*s(i) - m(i).\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/24 - (-6 - (-66)\/9). Which is the biggest value? (a) w (b) 4\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 5*a**4 + a**2 + (3 - 3 + 2*a**4)*(-2 + 4 + 0) + 0*a**4 + 2*a**4 + 0*a**4.\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 262 - (75 - -159) - (0 + 18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281679377.\nAnswer: 7, 40239911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.01 - 0.01. Let s = -39176 - -39183. Put a, -1\/4, s, 4 in increasing order.\nAnswer: -1\/4, a, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.006 + 1.006. Let m = 0.0683 + -4.9983. Let q = -0.07 + m. Are g and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 825, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, s: 1, p: 2, k: 4}. Give prob of sequence dd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38953778\/232659 + 2\/33237. Let q = -11041\/70 - f. Find the common denominator of q and 73\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -99*r**4\/2 - 1010*r**3\/3 + 326. Find the third derivative of t(u) wrt u.\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/12 - 50\/12. Let k = 10 + o. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 236867 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 e when two letters picked without replacement from memmmemmee?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by (-14)\/49 + 132\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6858 and 37\/73152.\nAnswer: 219456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.3927um in centimeters?\nAnswer: 0.01893927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47069 is divided by 108?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k - 2*k)*(-2 + 3 - 2) - 2 + 2*k + 2 - 3 + k + 3.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1542 (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 7*h + 5. Let z be l(-8). What is the nearest to -1\/2 in z, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -21. Suppose -4*h - 2 = -4*f - 14, 4*f + 16 = n*h. Let j(t) = t**2 - t. Give j(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -101.518 and 18309148.\nAnswer: 18309046.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1001110011000001?\nAnswer: -1001110011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320897.\nAnswer: 223, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*i**3 + 1)*(-3*i + 3*i - i) - 4*i**4 + 4*i**4 + i**4 - 1559*i**4 - 3474 + 3474 as s*i + v*i**4 + b*i**2 + y + d*i**3 and give v.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19*15\/684*14\/30. Let w(k) be the second derivative of 2\/3*k**2 + 11*k - z*k**3 - 1\/72*k**4 + 0. Factor w(s).\nAnswer: -(s - 1)*(s + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/70 - 6\/21 - (-4 - (-845)\/260)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 10. Suppose 112*f = 185 + 263. Calculate b(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328283 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**3 - 53*v**2 + v + 5. Let h(s) = s**3. What is 8*h(i) - w(i)?\nAnswer: 2*i**3 + 53*i**2 - i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2333.99m?\nAnswer: 2333990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 3622*i + 716351. Determine l(188).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 82.10003 nanograms?\nAnswer: 0.00000008210003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6*g + 36 = 0. Suppose 4*b + g = b. Let p = -1297553\/7 + 185365. What is the closest to p in b, 1\/4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 8:45 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 6) to base 14\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 80) + 2 + (2 - (16 - 16) - 0)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454548398.\nAnswer: 2, 331, 463, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43083, 43085, 43087, 43089?\nAnswer: 43091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -193. Suppose -4*h - 2*f + 7*f = -69, -5*h - 2*f + n = 0. Solve 3*z + 10 - 2 = l, 3*l - h = 5*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 - 4*y**4 - 3*y**4 + 3*y**3 + (4*y - 3*y + 0*y)*(-y**3 + 5*y**3 - 2*y**3) as o*y**3 + v + l*y + n*y**2 + j*y**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i**4\/2 - 319897872*i**3 + 1895086190153517*i**2 - 1263390686803056*i + 421130217086283\/2 = 0. What is i?\nAnswer: 1\/3, 11848069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and -2.0904?\nAnswer: 3.1904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 92, 3, 29, 42 in ascending order.\nAnswer: -5, -4, 3, 29, 42, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.9273 to the nearest integer.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 132.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 440?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5942*n**4 + 1246 - 462*n**4 - 1457*n**4 wrt n?\nAnswer: -31444*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1289 - -1193 - (-44 - -2)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-24)*k\/(k**(5\/4)*k*k)*(k**31\/k)\/k*k*((k\/k**17)\/k)\/k assuming k is positive.\nAnswer: k**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1352555932?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 18*p**2 - 3*p + 10. Let g be d(2). Let f = -115 + g. Let x be f\/(-143)*(-1)\/(-1). Put x, -5, 2 in descending order.\nAnswer: 2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 18*u - 2640. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 185 = -4*i - 68 + 53, 13*i + 2*r - 22 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-12)\/d)\/d*d*d)**(-14\/9)\/(d\/(((d\/((d\/((d*d**(-10)*d)\/d))\/d))\/d*d)\/d))**(4\/5))**(-9) assuming d is positive.\nAnswer: d**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 8:11 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4175.9 + -2647. Round h to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.135 - -0.002. What is t rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 2)*(-1 + 2 + 0) + 0 + 2 - 3)*(7*f**4 - 4*f**4 - 5*f**4 - 18*f).\nAnswer: 6*f**4 + 54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.61339 + 2.98724. Let r = 1.03 - 11.63. Let d = r + j. Round d to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 12, -3*w + q + 5 = -2*w. Factor 0 + 2\/5*z**3 - 2\/5*z + 0*z**w.\nAnswer: 2*z*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39526.5 and 31.\nAnswer: 1225321.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1851 and -24.3124958.\nAnswer: -24.4975958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9563 + 0.0437. What is the closest to 2\/11 in -5, -2\/15, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250597 divided by -11\nAnswer: -250597\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 23. Let f be w(-11). Suppose f*n + 1 - 81 = 0. Solve 5*y - y - x + n = 0, 3*y = 3*x + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8341 - -0.0341. Which is the fifth biggest value? (a) 0.1 (b) -1\/4 (c) 3\/8 (d) x (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 4*x**2 - 26*x + 40. Let b be s(7). Let l(w) = w**2 - 8. Let a(k) = k**2 - 5. Give b*l(g) - 8*a(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517802435 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: Let p = 2235 + -2230.044. Let t = 0.05 - -0.006. Let g = t - p. What is g rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46660, 93316, 139972, 186628, 233284?\n\"Answer: 46656*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3060 and 13230.\nAnswer: 449820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.897 * 0.1\nAnswer: 0.0897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 904, 3099, 6758, 11881?\nAnswer: 18468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 4*m - 4, b - 5*m + 13 = 0. Suppose 12 - 11*w**b + 24*w - 21*w**2 + 36*w**4 - 24*w**3 - 16 = 0. Calculate w.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*j + 414 = -23*j - 716 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, -55, -133, -269, -481?\n\"Answer: -3*u**3 - 2*u**2 - 11*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2555 + 7741\/3. Find the common denominator of -44\/5 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*q - 5*g - 3, -3*q + 5*g = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 99*s - 50*s = -238. What is the closest to s in -2, 0.011, -5?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - -5) - (0 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - (-1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 26. Let c = -36 + 24. Let f be k(c). Let z be 4\/(-2) - 1*-5. Solve -5*w - f*s + 12 = -s, z*s - 8 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + z = 41 - 6, 0 = 4*z - 20. Solve p*a = 7*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1001100100?\nAnswer: -1001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 - -452. Let a be (-2 + t\/(-20))*-4. Suppose v - a = 29. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 + 189. Let g(j) be the second derivative of j**4\/12 - 7*j**2\/2 - 2*j. Let v(q) = -q**2 + 6. Determine l*g(b) - 7*v(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3494432 is divided by 10400.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u - 18. Determine y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*k - g + 5, -5*k + 2*g = -30. Let x be 1*(k + -3)*5. Suppose -2*s + 4*p + 29 = -p, x*s = -3*p + 88. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 63 - 43, 5*a - 6155 = -d. What are the prime factors of a?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((10886119 - 33)\/17)\/((-2)\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**5\/18 - v**4\/54 + 113*v**2\/2 - 83. Let p(w) be the second derivative of y(w). Factor p(j).\nAnswer: -2*j*(15*j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h**5\/8 + 3471*h**4\/4 + 29823*h**3\/8 - 94083*h**2\/4 + 25218*h = 0. What is h?\nAnswer: -8, 0, 9\/5, 2, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66*k - 24*k - 2*k)*(-5*k**2 + 7*k**2 + 2*k**2) to i + y*k + s*k**3 + p*k**2 and give s.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*f + 5*f. Let r be (-51)\/5 + 2\/10. Let x = r + 22. Calculate the least common multiple of x and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3251513 or -3251465?\nAnswer: -3251513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1 (c) -0.3 (d) 44172.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i - 0*i + 42060. Suppose 0 = -5*g - 0*l + l + i, 3*g - 2101 = l. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 81 = -5*l, -5*h - 5*l + 43 + 212 = 0. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*z + 6 = 0, n - 5*z - 4 - 14 = 0. Solve -n = u + 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 7*l**2 - 10*l + 10. Let a be f(8). Let o = -5 - a. Solve -o + 6 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.1. Let a = 3.504 + -3.204. What is the closest to u in 0.4, a, -8\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + -13 + 5 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -777 (base 13) to base 9\nAnswer: -1673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 w when three letters picked without replacement from {w: 3, g: 2, y: 1, l: 4, p: 7}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1463616 (base 7) to base 4\nAnswer: 300332223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 44 = 2*t, 43200*d = 43196*d + t + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**4 + 304*v**3 - 7800*v**2 + 70000*v - 62500 = 0.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*s - 946*s = -1008 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**14\/u)\/(u\/u**(-21\/8)*u)*u**(-4\/13)*u\/u**(-2\/51)*u*u assuming u is positive.\nAnswer: u**(58909\/5304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/56)\/(((-2)\/12)\/(2\/6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -226 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 + 116440?\nAnswer: 120035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 3. Let i(u) be the first derivative of -u**2 + 2*u - 1. Let r be (-4)\/(-2) + (3 - 3). Calculate r*y(o) - 3*i(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76553 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksmkkrkkimbmkbkkik. Give prob of picking 3 m.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 102*w + 25*w**2 + 68*w**2 - 11*w**2.\nAnswer: 82*w**2 - 102*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*w**2 + (0 + 2 - 3*w + 4*w)*(w - 17 + 17).\nAnswer: 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7448, -7419, -7362, -7271, -7140?\n\"Answer: i**3 + 8*i**2 - 2*i - 7455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igigigqfigqggiiibg. Give prob of sequence gq.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 310957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u**3\/6 + 2402*u**2\/3 - 22541*u\/2 - 8190 = 0. What is u?\nAnswer: -9\/13, 20, 273\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 1. Let u(s) = -7*s**2 + 9. Let h(k) = -6*q(k) + u(k). What is the remainder when 8 is divided by h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(7) + 1 - sqrt(7)).\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxnxxxxnx. Give prob of picking 1 n and 1 x.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)\/(k\/(k\/(k*k**(1\/5)*k*k)))*k\/k**(1\/33)*k*(k**24\/k)\/k assuming k is positive.\nAnswer: k**(2767\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - a14?\nAnswer: -a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337 a factor of 78868414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 + 7*s + 5. Let z(j) be the second derivative of -1\/2*j**3 + 6*j + 1\/12*j**4 - j**2 + 0. Suppose 0*a - 10 = 5*a. What is a*v(o) - 5*z(o)?\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r + 2*r + k - 20, 0 = 3*r + k + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 1:19 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 761, 770, 779, 788?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14554?\nAnswer: 2, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let b(m) = 496*m**2. Let g(w) = -7*w**2 - 3. Let o(l) = -b(l) + g(l). Calculate o(y(k)).\nAnswer: -503*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*v + 1372 = 0, -336 = -t + 2*t - v. Let h = 344 + t. Solve -4*o - 32 = h*k, -k = -3*o - o - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1948 in 5, -3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2222?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -82. What is the highest common factor of u and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 4. Let u(y) = -y**3 - 15*y**2 - 16*y - 15. Let o be u(-14). Suppose 5*b + o = 38. Suppose b*j - 28 = q, q - 4*j + 12 = -12. Calculate v(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihlhhhdlghgdi. Give prob of sequence igg.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -158, -353, -546, -737, -926, -1113, -1298?\n\"Answer: c**2 - 198*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 6*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -87843586.2 to the nearest 10000.\nAnswer: -87840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 60. Let o be ((-4)\/6)\/(v\/(-144)). Solve -o*k + 4*l = 5*l - 5, -5*k = -l - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-10) + 9\/2925*245. What is the closest to 2.5 in h, -0.4, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174472 divided by -21809.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(20) + sqrt(100)\/sqrt(5)))\/((sqrt(176) + sqrt(44))\/sqrt(11)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*h**2*r**3*z + 10*g*h**2*z + 7*g*r - 4*h**2*r**2 - h*r**3*z - 3*r*z - 4 with respect to g.\nAnswer: -h**2*r**3*z + 10*h**2*z + 7*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*c - 1005, 14*q + 11*c - 15*c = 4720. Calculate the remainder when q is divided by 208.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118899, 238466, 358695, 479580, 601115, 723294, 846111, 969560?\n\"Answer: -o**3 + 337*o**2 + 118563*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510, 1020, 1530, 2040?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 82*r - 534. Calculate the remainder when s(93) is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 359571075 and -5.\nAnswer: 359571070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8343*g + 8320*g + 11 + 6. Let k = 61 + -27. Let w(a) = -31*a + 4. Let y(s) = -6*s + 1. Let b(j) = 2*w(j) - 11*y(j). Give k*b(x) + 6*l(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 52*w**3 - 5*w**2 + 3*w + 11. List the prime factors of y(4).\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, e: 4}. Give prob of picking 2 c and 2 e.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.9 + -12.9. Suppose 3*x = -2*d + 6, -4*x - x - d = -17. Which is the nearest to 1\/6? (a) x (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1290 and 516?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 - (-4 + 12 - (257 - 227))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/8, -16 in decreasing order.\nAnswer: -1\/8, -2\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 814205213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29707.\nAnswer: 61, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -16233 > -16349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u + 85 = f, 0 = f - 4*u - 79. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 441157, 882329, 1323501, 1764673?\n\"Answer: 441172*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -36655?\nAnswer: -36645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5458 - 0.7158. What is the nearest to 1 in 3, 5, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1 - 0. Let q be y*2*1\/1. Let w be q\/(-3) - 121\/(-33). Let h(g) = g**2 - 4. Determine h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270615 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: Is 14639 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5613628?\nAnswer: 2, 1403407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193 - -198. Find the common denominator of 1*1\/r*(-1860)\/(-56) and -55\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -1\/840*c**7 + 0*c**3 + 0 + 0*c**4 + 1\/240*c**6 + 0*c - 1\/240*c**5 - 11*c**2. Solve j(a) = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkkxattkkkkkkakakak. What is prob of picking 2 x?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (28 - 34 - (-6 - 2) - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20 and 1\/(-28)*-4*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1286154, 15, 6.\nAnswer: -1286154, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -14*h**3\/3 - 1424*h**2\/3 + 90344*h\/3 - 25696\/3 = 0.\nAnswer: -146, 2\/7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18925 and 2696434.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60801, -60798, -60795, -60792, -60789, -60786?\nAnswer: -60783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((21\/(-40))\/(18\/(-8)))\/((-18)\/15) and -27\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/6 - 8*r**2 - 2*r. Let w be i(16). Solve w = -b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37 - (-2 - -3) - 3. Let l = -18 + p. Let c = 19 - l. What is the lowest common multiple of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 + 6)*(4*q + 0*q - 2*q) + q + 3*q - q)*(3 - 4 + 2) in the form i + u*q and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318547 is divided by 1159132?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 330394351 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9 + 6.1. Let x(j) = 3*j + 4. Let s be x(-3). Sort 3\/8, b, s in descending order.\nAnswer: b, 3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 17*c**2 - 28*c + 226. List the prime factors of g(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2778247*n**3 + 4*n**2*z**2 - 46*n*z**2 + 67*n*z + 130*z wrt n?\nAnswer: -16669482*n + 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express 30*u + 24 - 57*u + 26*u as h + x*u and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 47 = 3*d - 3*y, -5*y - 16 = 4*d. What are the prime factors of (-3)\/d + 5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 60 - 3. Suppose 3*y = 5*m + 2268, 4*y + m - 3024 = 4*m. Suppose 11*h - 7*h = y. Calculate the greatest common divisor of z and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*c = -34, -c + 5 = 11*l - 6*l. Suppose 4\/13*o**l + 4\/13 - 10\/13*o - 8\/13*o**4 + 8\/13*o**3 + 2\/13*o**5 = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 + (-3)\/15*-5. Is f bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -14257.\nAnswer: -9\/14257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:56 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 116?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 6*s**2 - 2*s + 5. Let q be z(6). Suppose -96 = 12*j - 0*j. Do j and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s - 5*s - 5*n, -3*s - 3*n = -6. Suppose -3*y - 14 - 7 = -2*r, -r = 3*y - s. Calculate the least common multiple of 8 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 588 = j. Calculate the greatest common factor of j and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:45 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:28 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5167076 divided by -5?\nAnswer: 5167076\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00277996954 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - 4*z, 3*q - 7*z - 9 = -2*z. Suppose -q*w - v + 5 = -1, -w - 2*v = 3. Suppose w = -i + 24. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/90 - 107\/(-15). Suppose -14*q - 39 = 17. Suppose 4*s - 2 = 5*s. Sort r, -3, q, s in ascending order.\nAnswer: q, -3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**2 - 22430*x + 25155245 = 0?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, r: 4, b: 2, k: 2}. Give prob of sequence rber.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-22))\/(510\/(-20)). Let p = b - -388\/1309. What is the third biggest value in 0, p, -2\/3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**2 - a - 3. Let h(d) = 13*d**2 + 3*d + 5. Let q(s) = -3*h(s) - 5*n(s). Find the second derivative of q(t) wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + p**3)*(-4*p + 3*p + 0*p)*(25 - 43 - 40) + (-3*p**2 - p**4 + 3*p**2)*(-4 + 4 + 1).\nAnswer: 57*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7710, 7719, 7740, 7779, 7842, 7935, 8064, 8235?\nAnswer: 8454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 188*w**4 + 960*w**3 + 664*w**2 - 1632*w - 180 = 0. Calculate w.\nAnswer: -3, -5\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158179619?\nAnswer: 3, 71, 5437463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 2*x - 3. Let y be i(-2). Let v = 89 + -57. Suppose d = v - y. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15313 < -15313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2230 = 13*o + 2321 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-30 - -20) + 19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**2 + 27*k**2 - 35*k**2 + 26*k**2 + 32*k + 27*k**2.\nAnswer: 11*k**2 + 32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5474*m**3 + 28*m**2 - 2817. Let h(p) = p**3 + 14*p**2 + 1. Let l(s) = -2*h(s) + q(s). Differentiate l(y) wrt y.\nAnswer: 16416*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1734926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6104, 24054, 53778, 95276, 148548, 213594, 290414?\n\"Answer: 5887*d**2 + 289*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8*d = 710. Let z = d - 53. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 35*m**2 - 277*m + 76. What is z(8)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 4*q + 15. Let s be y(3). Let x be (2\/(-4))\/((-1)\/s) - -1. What is the closest to -0.1 in 1, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -6.8.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, 67, 222, 523, 1018, 1755, 2782?\n\"Answer: 8*k**3 + k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -7*l**3\/6 + 9*l**2 - 15*l. List the prime factors of d(-15).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1.2. Let g = 8 - -36. Let n = g + -45. What is the second smallest value in m, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93998 or -94006?\nAnswer: -94006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**2 - 31*b - 2. Let w be l(-16). Is (4\/(16\/w))\/(2\/4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*q**3 + 135*q**2 - 200*q + 60.\nAnswer: -5*(q - 3)*(q - 2)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 32, -1 in decreasing order.\nAnswer: 32, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 14. Suppose -4*l + 11 = -v. Suppose l*m = 9 + 6. Which is the nearest to -4? (a) m (b) 1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 199. Let t = m + 128. Suppose -38 - 8 = -t*r - 4*d, 38 = 2*r - 4*d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/17 in -1\/4, -3\/2, -0.5, -128?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + 3*g)*(2*g + 4 - 4) + 22*g**2 - 15*g + 15*g + (2 + 2 - 6)*(150 + 67*g**2 - 109 - 42).\nAnswer: -110*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21 = x. Suppose -3*n + x - 1 = 0. Suppose 3*j + 5*a + 12 = 0, -5*j + n*a = -a - 14. Let k(f) = -9*f**3 - 2*f**2 + f. What is k(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.072681 + -0.052989. Let o = r + -1.02. What is o rounded to 5 decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/2565*0)\/((-2)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:00 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/31347 = 291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(70) - sqrt(70))\/sqrt(10) + -2 - (0 + 2*sqrt(847) + -4))*-3.\nAnswer: -6 + 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(1\/5)*j)**(12\/7))**(-3\/43))**(26\/7))**(1\/18) assuming j is positive.\nAnswer: j**(-312\/10535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -123*v**2 - 8352*v - 202. Determine j(-68).\nAnswer: -1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-5)*(-63)\/3402.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*j**4 + 2*j**3 - 47*j**2 wrt j?\nAnswer: -4080*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 492 = 17*f. What is the remainder when 115 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.03, 0, 1\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1051)\/(-6) + (-41)\/(-123))*6.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518245048?\nAnswer: 2, 189780631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -395 - -395. Factor 2\/3*s**3 + i*s**2 + 4\/3 - 2*s.\nAnswer: 2*(s - 1)**2*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10*p = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**6\/4 + g**4\/24 + 8*g**2 + 42. Let k(b) be the second derivative of f(b). Find the second derivative of k(a) wrt a.\nAnswer: 180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 2, u: 1}. What is prob of picking 1 f and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25556507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225472?\nAnswer: 2, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + g = 10763, 0*g = k + 3*g - 2147. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*q - 11 = 905*q + d, 5*d = 4*q - 83 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25074, -50147, -75220, -100293, -125366?\nAnswer: -150439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 228*n. Let r(a) = -5337*a**2. Give r(d(j)).\nAnswer: -277438608*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (203 - 106) + -111 + 16 + -1 - (1 - -67)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25955.076 - -25862. Let i = -0.076 - s. Let h = i - 93.00013. Round h to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.65 + 0.43. Let p = -0.55 + b. Round p to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 1)*((-3*l + 8*l - 7*l)*(l - 3*l + 0*l) - 17*l**2 - 3*l + 17*l**2 + 5*l**2 - 3) to the form w*l + u + y*l**2 and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(700)) + 5)*5*6.\nAnswer: -1500*sqrt(7) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, 25 in ascending order.\nAnswer: -21, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 31*r + 98. Let i be z(-21). Let l = i + 555. Solve t = -k - 4*t - 7, l*t + 19 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 843 + -457. Let o = -389 + p. Which is the second biggest value? (a) 3 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 3*b + 0*b)*(-1 + 4 - 1)*(-4 - 1 + 2)*(-8*b - 8*b + 5*b)*(-2 - 5 + 0) as n*b**2 + z*b + a and give n.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 667122 + -31?\nAnswer: 667071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 186*s - 24178. Give u(-274).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 285.3576mm?\nAnswer: 0.0002853576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28834 - 26635 + 65109)*(-3*k + 2*k + 2*k) + 3*k - 2*k - 2*k to o + v*k and give v.\nAnswer: 9639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.552902 months to decades.\nAnswer: 0.13794085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-210)\/240 + 3\/(-24). What is the thousands digit of 3\/2 + o - (-98373)\/66?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -67570688 from -2.\nAnswer: 67570686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*((u**3*u)\/u*u)\/u*u**6\/u**(-2))\/(u\/(u*u**(1\/6)\/u)*u\/(u**(-5)\/u))**27 assuming u is positive.\nAnswer: u**(-413\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 812154690 divided by -6?\nAnswer: -135359115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(85)*3)\/(1*-2*sqrt(5)*-3).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-34))**(2\/91) assuming t is positive.\nAnswer: t**(-68\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2901 or -135?\nAnswer: -2901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2241034 less than -2241034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380181 and 1058647.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -10, 3*y = -0*d - 2*d + 10. Suppose -2 = -4*x - 2*q, 3*x - q - y*q = 15. Let k be 66\/30 - 0 - x\/1. What is the smallest value in k, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -284083743.56 and 5?\nAnswer: 284083748.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4154, -4158, -4162?\nAnswer: -4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/473 and -5\/9847673.\nAnswer: 423449939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/182589 and 157\/726?\nAnswer: 365178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/17*j + 2\/17*j**2 + 0.\nAnswer: 2*j*(j + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 32*w - 1679. Calculate d(53).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, h: 2, j: 1}. Give prob of picking 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17013 times 3?\nAnswer: -51039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 59 = -h + 14, 0 = 3*i - 5*h - 72. Let r(o) = 6*o - 5. What is the remainder when r(7) is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (442 - 435 - (2 + (6 - 2 - 2)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 32*p**3 + 2*p - 1. Let b be d(1). Suppose -b - 67 = -5*t. Let z(l) = 2*l**2 - l + 2. Let w be z(2). Solve w = 4*f + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 16 = -d - 0*t, 3*d - 9 = 4*t. Let g be 46\/23 + d + -6. Sort -1, 5, 8, g in ascending order.\nAnswer: g, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-7))\/(o\/(o**26*o*o)) assuming o is positive.\nAnswer: o**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 52*v**2 - 801*v + 41652. Calculate m(52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3681 - 2201. Calculate the remainder when u is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -193286, -386571, -579856?\n\"Answer: -193285*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -21*b + 3. Let h(g) = 1. Let c(j) = -j**2 - 103*j - 1528. Let i be c(-85). Calculate i*n(l) - 6*h(l).\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/3)*z**(1\/6)\/z)\/(z**(2\/5))**(-7\/2))**38)**18 assuming z is positive.\nAnswer: z**(3078\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173393.3kg to grams.\nAnswer: 173393300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 + 2*p - 7. Let d be a(6). Let u = -131 - -126. What is the biggest value in -2, u, d, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116.83 + -106.83. What is the second biggest value in l, -14, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -210. Let f = -8274 - -8246. Let r = f - i. Calculate the remainder when r is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m = 1 + 3 - 4. Solve -4*x - 10 = -6*x - p, -3*p + 6 = m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/((-1 - -2)*-2). Let r(g) = g**3 + 7*g**2 - 9*g - 6. Let a be r(-8). Solve b*v = 2 + a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.2852 and -1.8?\nAnswer: 11.31336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 326240 (base 11) to base 7\nAnswer: 4266045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 g when three letters picked without replacement from {g: 5, d: 2, l: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*(g*g**(3\/11))\/g)**30)**(-23))**(-37))**(-18) assuming g is positive.\nAnswer: g**(-11488500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 665*i - 3025. Let g be f(10). Is 3626 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (8\/(-2) + -3). Let i(b) = -b + b + 5*b - u*b. Let p(x) = -3*x + 3*x + x. Calculate i(p(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/5)\/(x*x\/x**(-1\/3)))**(-1\/4)*(x*x**(1\/3))**12*(x*x*x*x*(x**(-2\/9)*x*x*x)\/x*x)\/x**2 assuming x is positive.\nAnswer: x**(3809\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khxnknhxkkhkkkxkkx. Give prob of picking 3 k.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52540256?\nAnswer: 2, 281, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 6, z: 4, o: 1}. Give prob of picking 1 u and 1 o.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 241*m**2 + 231*m - 1. Calculate the smallest common multiple of 78 and v(-2).\nAnswer: 13026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(124\/(-155)*5\/2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8879*o**3*v**3 + 2*o**3 - 3*o**2*v**2 - o*v**2 + 238*o wrt v?\nAnswer: 53274*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.1 - 42. Let q = -0.3 + 0.3. Let x = -9 - -14. Which is the closest to q? (a) s (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**3 + x**2 - 8*x + 8. Let m be o(1). Suppose -2*t + 9 = k, -5*t + 0*k + 25 = 5*k. Solve 20 = m*i + 5*c, t*c - 13 = -3*i + 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 6 + 5 - o. Let r(n) = n + 2. Let j be r(0). Suppose 5*x - 3*g = -1, 5*g - j = 8. Give a(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 b when three letters picked without replacement from {w: 2, o: 4, z: 2, q: 1, b: 2, d: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26389, -105548, -237479, -422182, -659657, -949904?\nAnswer: -1292923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -309311032 and -0.06.\nAnswer: -309311032.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/374132 and 73\/44.\nAnswer: 374132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.02 (c) 0.3 (d) 2 (e) -2\/13227 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8307806453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84000 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 44*d**2 + 85*d + 9. Determine n(-42).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 + -7 - -6) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 16 = -27*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18893 divided by 8\nAnswer: 18893\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 83*k**4 + 158 - 2*k**3 + k + k**2 - 88 to n*k + z*k**4 + f*k**3 + i + m*k**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 41 = -382. Let o = -3371\/10 - w. Let i(n) = 9*n - 10. Find the common denominator of i(5) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -4 - (-1 + -24). Calculate the highest common divisor of 46 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11256 (base 9) in base 2?\nAnswer: -1110101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -130, -1, 6, 5, -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkggtgttgtgut. Give prob of picking 1 g and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*f**2 - f + f - 727*f**2 to the form p*f + h + d*f**2 and give d.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168859461 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259 + -133. Let r = 940 + c. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5 - 3. Let u = w + 4. Let l = -119\/24 - -45\/8. Is l at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3674)\/77 - -48) + (-43)\/(-21)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33016, -33338, -34224, -35956, -38816?\nAnswer: -43086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 2. Let i be 1428\/119 + 1 + -1 + -4. Suppose -m - 3 = 3*v, i = -v + 5*m - 9. Give b(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**3 + 3*c**3 - 34 + 55 + c**4 - 2*c**4 as d*c**2 + l*c**3 + u*c**4 + y*c + m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - (11 + -13 + -9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/10 or -887?\nAnswer: -31\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-16)\/(d\/(d*d**(11\/4)*d)))\/((((d\/d**0*d)\/d)\/d)\/(d*d\/(d*d\/d**(3\/13)*d))))**(-2\/87) assuming d is positive.\nAnswer: d**(677\/2262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12351 is divided by 4095.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/29084 and -69\/164.\nAnswer: 1192444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9338 + 9388. Solve 2*f + 8*f - t = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 381518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -173*r**2 - 1141*r + 1328. Determine h(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1.033 (b) 1\/11 (c) -1 (d) -7.9 (e) -2 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 102271?\nAnswer: -102271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 0*y**3 + 3\/5*y**5 + 2*y + 0*y**2 + 1 + 0*y**4. What is the first derivative of u(w) wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192505981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 64 = -8 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 - -10) + (44 - 14) + -34 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1007 - 8327 + 192*p - 175*p.\nAnswer: 17*p - 9334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 32 = q. Let c = -53 - -116. Let n = q + c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1085 + -0.1195. Let w = -10 - -9.921. Let d = w + v. Is d != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1024 + 972.9. Let h = 51 + m. Which is the nearest to h? (a) -5 (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 18. Let q(n) = 4 + 5*n**2 - j + 0. Let s be q(5). What is s rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257.104 years to millennia.\nAnswer: 0.257104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 9)\/((-1)\/5). Let f(z) = 5*z + 105. Let h be f(30). Suppose -50*r + t*r = h. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a - 17. Let n be t(11). What is the highest common divisor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 32 - 10 = 0. Let l be 4\/r + (5 - (-10)\/14). Solve l*h - 3*y + 17 = 8*h, y - 3 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h**2 + 2*h + 6. Let a be l(0). Solve 2*w = 2*q + a, 0 = q + 3*w - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1, 1, -0.0029, -3 in decreasing order.\nAnswer: 1, -0.0029, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (4 - -31)\/(-5). Which is the nearest to y? (a) -2\/11 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 163180, 652730, 1468646, 2610928?\n\"Answer: 163183*d**2 + d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 5 + -9) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -20*m - 3. Let y(b) = 1 - 24*b + 19*b + 12*b. Let p(i) = -17*y(i) - 6*z(i). What is p(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 7:55 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2750 - -2753. Solve 3*u - 9 = 3*b, i*b + 0*u + 7 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*t - 9432 = -88*t. List the prime factors of t.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 143415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(99)\/sqrt(539)) + 1*(sqrt(3) + -1*sqrt(3)) + 0)**2*-5.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 10 = 28. What is the highest common divisor of n and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) -5 (c) -0.49 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a + 6*a**5 + 5*a + a wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67091499 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 10*o + 9. Suppose 23*u = -82 + 13. Calculate n(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 163.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-11) + 46306\/(-220). Let g = m - -1078\/5. Calculate the common denominator of g and 39\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860050 divided by 430025.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 974783 and 5963?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 - 1 - (13 - 29))) + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 - (36 + -5) - (7 + 10 - -1).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 111. Let i = -18 + d. Let p = 0.8 - 1. Which is the closest to p? (a) i (b) 0.9 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74276256 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 8*h - 21. Give a(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -1716.\nAnswer: 188.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 + -12 + 12 + -13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 47411037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9*(2 + -6 + 2). Let s = -7.6 - -9.6. What is the closest to 0 in h, s, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 818616.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14266626313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -131.9999866. Round y to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 31 = 5*d. Let t(n) = n. Let z be t(d). Suppose -m - 31 = -4*x - z*m, -4*x + 4*m - 4 = 0. Solve -2 = -x*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 1. Suppose -m = -4*r + 7. Suppose -26 = -2*a + 18. What is the greatest common divisor of a and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131516, 131502, 131462, 131384, 131256, 131066?\nAnswer: 130802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 264 (b) -9 (c) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 19*j - 72. Let r = 0.301 + -0.001. What is the smallest value in r, -6, j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -f + 6, -2*t + 0*t + 6 = -f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 225 = 167. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32794 + 32794 + 658*j**3)*(-1 - 1 + 1)*(5 + 2 - 5)*(-6 - 3 + 5).\nAnswer: 5264*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.074845 * 0.03.\nAnswer: 0.00224535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.962 + 1.185. Which is greater: 24 or f?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -79959 + -4?\nAnswer: -79961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -515, -436, -283, -32, 341?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(432)*2 - 2*((-1*sqrt(432))**2 - sqrt(432)).\nAnswer: -865 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*b + 52*b + 69*b - 1904 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-5670)*203 + (-4)\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.3, 1\/55, -3, -0.04 in ascending order.\nAnswer: -3, -1.3, -0.04, 1\/55, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:55 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2550685368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -418 and -417 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 5*f**3 - 3*f**3)*(290*f**2 - 199*f**2 + 1196*f**2).\nAnswer: 1287*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + -143. Suppose -452 = -g*w - 5*k, -4*k = -2*k - 8. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 - 102. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39*x**2 + 17*x**2 - 19*x**2)*(-2*x - 4*x + 5*x - 3) as y*x**2 + d*x**3 + q + f*x and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*l - 1033 - 3918 = -1348 + 2971 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4541\/10?\nAnswer: 4541\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.1 - 23. Let m = -0.8 + c. Let h = m - 0.1. Put -0.3, h, 0.3 in descending order.\nAnswer: 0.3, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:19 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-12837)\/(-44))\/(9\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4689006\/(-2474332))\/(6\/(-8)). Let r = d + -2\/4651. Determine i so that -88\/19*i + r + 2\/19*i**4 - 18\/19*i**3 + 60\/19*i**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/182 and 2 - 7 - (-10946)\/2236?\nAnswer: 7826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(3*c - 6*c - c) - 46 + 3*c - 72 + 164 to q + x*c and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {z: 3, k: 1, r: 3, c: 2, d: 1, x: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-471)\/(-1099))\/((-10)\/21*3)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98605.\nAnswer: 5, 13, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/5 (b) 4.337 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 300*w. Let z(y) = -3*y**2 + 6314*y. Calculate z(i(r)).\nAnswer: -270000*r**2 + 1894200*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/9)\/(33\/(-1151667)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 7a3674?\nAnswer: -7a366c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*w + 4 = 18, 2*g + 5*w + 31 = 0. Let i be 10\/((-60)\/(-378)) + g + -2. Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.012, -5\/21, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuru when four letters picked without replacement from vvuuuvvvvvvuruvvvvu?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10361685119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k - 306 = -460 - 422 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 198184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61.6 - 57. Let n = -1.4 - f. Let o = n + 6.000013. What is o rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29734*d**3 - 87286*d?\nAnswer: 178404*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64741 + -42008. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4*n**2 + 41*g**4 + 5*g**3*n**2 - 2107*g**2*n**2 wrt g?\nAnswer: 24*g*n**2 + 984*g + 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/9*95\/((-5225)\/198)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -344557*k - 1722734. Calculate a(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 + 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 390, -473\/3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 2*z**2 + z. Let o be x(2). Solve -o*k = -4 - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 3*c**2 + 3*c + 1. Let v be t(-2). Put -4, 13, v in increasing order.\nAnswer: -4, v, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159943304?\nAnswer: 2, 37, 540349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 11052 = 5*g, 0 = -4*c + 19 - 15. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Let j be n(1). Let r = j - 2. What is the nearest to 3\/2 in r, -0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4\/11 (b) 1971 (c) 1\/4 (d) -6\/5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/10 and -54\/2597.\nAnswer: 25970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0 + 0*r**4 + 83\/3*r**3 + 0*r**5 + 0*r - 2\/15*r**6 - 51*r**2. What is the derivative of v(w) wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/17 (b) 0.046 (c) -3 (d) 149 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2744 - 8480 = -6*q. What are the prime factors of q?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 + 812634.6?\nAnswer: 812849.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105.1 - -105. Which is smaller: i or 22\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136.3 + 27.3. Let l = 149498692 + -149498801.0000058. Let k = l - s. Round k to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.65117903 + -17.4511789. Let o = 0.3 + 0.5. Let z = l + o. What is z rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 32507670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7584, -30120, -67594, -120006, -187356, -269644?\n\"Answer: -7469*k**2 - 129*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 63 - 24 = 0. What is the remainder when q is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 70806.\nAnswer: 495642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33012 (base 6) to base 14\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*g + 25, w - 3*w + g + 11 = 0. Let d(p) = 6*p - w*p + 2 - 1 + 0. Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27422487349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -753843 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -8763.435.\nAnswer: 8763.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -3*u**2\/2 + 9*u - 75. Give r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, 2, 4 in decreasing order.\nAnswer: 4, 2, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 19*h - 124. Give y(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04258 - -0.15742. Let m = -10 + 10.16. Which is the biggest value? (a) 3 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1373 by 11530.\nAnswer: 1373\/11530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/12 - o**2 + o. Let d(n) be the first derivative of q(n). Let y(i) = 3 - 3 - 3*i. Give y(d(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2211353701 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*w - 70 = 14, -5*w + 105 = 5*l. Suppose l = s + 5*t - 47, -2*t = 8. What is the greatest common divisor of s and 1183?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/13? (a) 2 (b) 3\/11 (c) 6 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 1 - 4)*(-1 - 1 + 1 + (-1 + 1 + 1)*(1 - 2 - 2) - 1 - 4 + 3).\nAnswer: 6*i + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/9)\/(9\/27) - -795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 3*j + 7*j**2. Let d(i) = 689*i + 557*i - 1237*i. What is d(u(p))?\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q = 33*q - 2*o - 18, 2*q = -5*o + 3. Solve 0 = -q*a + 6*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135626784448 less than -0.4?\nAnswer: -135626784448.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194437274, 194437277, 194437280, 194437283?\nAnswer: 194437286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62, -92, -122, -152, -182?\n\"Answer: -30*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 13 = -2*w - n, 5*n - 10 = 0. Suppose -5*v = w*h - 10, -v - 3*h = -8*h - 30. Solve v*o - 3*o - 21 = -5*m, 6 = -o + 3*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98038715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Suppose -31*y - 36 = 4*f - 25*y, 30 = -5*f - 5*y. Sort f, k, -2, -58.\nAnswer: -58, -2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:15 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 22*p - 24*p + 923*p**3 + 3 - 926*p**3 to the form v*p + u*p**3 + w + o*p**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 2*n**2 + 2*n + 5. Let r be 4 + (-6)\/(-9)*12\/8. Is 15 a factor of u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2077, -3, -83 in descending order.\nAnswer: -3, -83, -2077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 558610 = 3904*n + 384*n for n.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 366368 and 68.\nAnswer: 6228256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let a(i) = 3*i + 1. Suppose -3*c + 8*c + 2*d = 7, 0 = -4*c + 2*d + 2. Calculate c*a(q) + 5*y(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 60. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 290, 293, 298, 305?\n\"Answer: u**2 + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 5*c + 6*c)*(1 + 2*c - 1).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -57624873?\nAnswer: -5762486a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edndnnbesqd. Give prob of picking 1 b, 1 e, 1 s, and 1 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 + (-87261)\/1652)*2\/((-40)\/(-14)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 - 3*b**2 + 3*b - 6. Let k(d) = 7 + 3*d**3 + 52*d + 59*d + 4*d**2 - 115*d. Determine 3*k(r) + 4*n(r).\nAnswer: -3*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 12 - 5)*(2*c - 3*c + 0*c) + 5*c + 2 - 2 - 2.\nAnswer: 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123521 (base 8) in base 14?\nAnswer: 11877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/18 and 149\/228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 20, 2*q = 2*x - 3*x + 6. Suppose 188 = q*w + 58. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - 736 - 700 - k - 713 + 2149.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -386 equal to 7.93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 - 9) + (0 - -18). Let x be ((-4)\/6)\/((-1)\/6). Suppose 4*m - w = 2*t, -4*m + 8 = -2*m - x*t. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/130)\/(81\/(-585))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/112)\/((-2)\/4). Which is the closest to 2\/7? (a) 4\/3 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/7 - 131934*c**2 + 102537584*c\/7 + 14780160 = 0. What is c?\nAnswer: -461880, -1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**5 - 25*c**4 - 20*c**3 + 80*c**2 + 160*c + 80 = 0. What is c?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*g**5 - 34*g**5 - 13*g**5)*(-4 + 3 + 3).\nAnswer: -192*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -378 - -384. Does 11 divide 1*u\/(-12)*-110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = -15. Let w be ((-5)\/2 + b)*0. Suppose j - 2 - 1 = w. Put -4, 2, j in descending order.\nAnswer: j, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4130132*u + 38698. Let b(n) = 3521*n + 33. Determine 3518*b(g) - 3*o(g).\nAnswer: -3518*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057739735 to 5 dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -10. Let f = 3 + x. What is the nearest to f in -2, -4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*t - 5*t - t - 2*t - 898 + 20*t)*(-2*t - 4*t + 5*t) to x*t + g*t**2 + v and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 44 = z + 3*z, -2*l - 80 = 5*z. Sort -5, l, 1.\nAnswer: l, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7205 - 7204.993278. Round a to 4 decimal places.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802791 is divided by 165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100010000 - -11?\nAnswer: 10000100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489460671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 7*y + 8. Let h be n(8). Let d(c) = -c**3 - c**2 - 178. Let m be d(h). Let k = -113 - m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 8*a - 33. What is the greatest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {b: 8, a: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 5*o + 6*o)*(o**2 - o**2 + o**2) - 1060*o**2 + 1060*o**2 + 111*o**3.\nAnswer: 110*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 11*k - 20. Suppose p + 16 = -k*b, -4*p - 3*b = 11 + 2. Let t(d) = 242*d - 10*d**3 + 5*d**3 - 241*d. Give t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2379 - 2504 = -517*q + 6596 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 735 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -22*i**2 - 6*i + 49. Let c(m) = 11*m**2 + 3*m - 30. Determine -3*b(t) - 5*c(t).\nAnswer: 11*t**2 + 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.027 - -667664780.\nAnswer: 667664780.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.13 + -0.93. Let j = 3.46 + m. Which is the biggest value? (a) 2\/9 (b) j (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3 + 3540*u**2 + 222752*u + 431376 = 0?\nAnswer: -817, -66, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3 = -3*v. Let b be 3\/3 - (-3 + v). Let f be 2*b + 1 + -2. Solve f - 2 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.397 + -7.197. What is the third smallest value in -1\/4, -8\/9, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkekekkekkkk. Give prob of picking 2 e.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let h = 0 - 0. Suppose 24 = 4*b - 5*f, h = -3*b - 5*f - 6 - 11. Is b bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + -22 + 7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3268 bigger than -1.0218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 22291\/317?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 5*d**2 + 7*d + 4. Suppose -4*i = 5*j + 14, i - 4 + 18 = 4*j. Determine u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 22*f = 0, g = 3*f - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-2) - (-2)\/4. Let g(b) = -b - 6. Give g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 divided by 108628?\nAnswer: -245\/108628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m**2 + m - 1. Let t be w(0). Put t, -3, 12 in descending order.\nAnswer: 12, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*q - 1322, -z + 60*q - 56*q + 670 = 0. List the prime factors of z.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373598 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120058822?\nAnswer: 2, 13, 251, 18397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q + 16 - 35 + 9*q + 2*q. What is the tens digit of z(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128586785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/12 and 37\/238863574.\nAnswer: 1433181444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163417 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2948683.4 rounded to the nearest ten thousand?\nAnswer: -2950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((232\/32)\/(5\/24))\/((-6780)\/(-11300))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 126 = -3*i. Let b be (6\/(-4))\/(2\/4). Calculate the common denominator of (-105)\/(-6) - b\/i and 35\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*u = 74, 2*u - 50 = -2*g + 7*u. What is the remainder when g is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1\/4 (c) -2\/13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*k**2 + 54*k**2 - 3*k - 76 + 86*k**2 - 27*k**2 + 19*k**2 wrt k?\nAnswer: 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = 30*m + 664 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 2*f + 3*f)*(-2 + 4 - 1)*(f**2 + f**2 + 5*f**2).\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 21\/4, 0.02, -3\/8, -34, -0.5?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*v + 15 = 0, -3*l - 5*v + 27 = 12. Sort 3, 2, l, -1 in descending order.\nAnswer: l, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - 3*q**2 + 4*q**2 + (4 - 3 + 0)*(0*q**2 + 0*q**2 - 2*q**2) + q**2 + q**2 - 4*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-32)*s**(9\/8) assuming s is positive.\nAnswer: s**(-247\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1075 and -1075 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 931636 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56837 is divided by 431.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(1\/3))*n**(-5\/8)*n*(n**(2\/7))**(1\/13) assuming n is positive.\nAnswer: n**(1595\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 44 = -q - 21, 4*r = 4*q - 12. Sort -30, 0, -2, r.\nAnswer: -30, r, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05003 + 2.05003. Which is the closest to o? (a) -2 (b) -22 (c) 4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348788265 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 4*o**2 + o. Let n be h(4). Suppose -n*l + 4 = 0, 2*g + 90 = -0*g + 4*l. Let i = g + 59. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/16*-3 - 3. Let a be (-1 - (0 + -3)) + 13. Let n(j) = -2*j + 30. Let y be n(a). Is c equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1517 = 6619. Let x = 2258 + -780. Let r = k - x. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67117?\nAnswer: 41, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 9*o - 3. Let a be (-91)\/(-3) - 3\/9. Suppose 4*j - a = 2. Give s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 8:00 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16996 divided by 4249?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 - 2*n**2 + 10*n**2 in the form g + x*n + c*n**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -186*z + 45585. What is b(245)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-2 + -3))*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08424 and 0.3.\nAnswer: 0.025272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 + 54\/12. Suppose -43 = -3*u - u - z*x, -10 = -u - 2*x. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x + 3. Let p be j(2). Let a = p - -10. Let k be (-117)\/(-45) - 2\/a. Solve 2*t - m + 2 = 7, -5*t + k*m = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 3*j + 1. Let g be ((-21)\/(-28) + 0)*-4. Calculate w(g).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 4. Let l be b(-3). Let n be -4 + 29 - (-6)\/(-2). List the prime factors of (n\/4)\/(l\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.022142*-0.1446.\nAnswer: -0.0032017332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**3*((s*s**(-1\/4))\/s)\/s)**(1\/8)*(s\/s**(-1\/2)*s)\/s*s\/(s*s**(2\/7)*s)*s*s*s*s**(-5)*s*s**(-2\/3) assuming s is positive.\nAnswer: s**(-745\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -474\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 1. Let s(l) = 12*l + 10. Let p(i) = 8*i + 7. Let k(t) = 8*p(t) - 5*s(t). What is 5*b(w) - k(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {w: 3, p: 3, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51.051 and 0.022.\nAnswer: -51.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 6*u**2 - u - 6. Let t be n(-6). Let v = 2073\/4340 - 6\/217. Are t and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(1\/8))\/((h\/(h*h*(h\/((h*h*h\/(h**(-1)*h*h)*h*h)\/h))\/h*h))\/h))\/(h\/(h**(-5)*h)*h**2) assuming h is positive.\nAnswer: h**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -20\/13 (b) 4 (c) 5 (d) 0 (e) 2\/39 (f) -17 (g) -0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 8. Let o be l(-6). Let z = o - -5. Let s = 5 - z. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -34*j - 2. Let l be w(-2). Suppose -4*z = -l + 18. Let o = -3 + z. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5*f + 7*f - 15*f + 9.\nAnswer: -3*f + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54, -209, -468, -831, -1298?\n\"Answer: -52*p**2 + p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 5*j**2 - 7*j - 4. Let r = -48 + 63. Suppose -9 = y - v, 3*y + 0*y + v = -r. Let n be f(y). Solve -n*q - 8 = -0*q - o, -o + 5 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -108\/157? (a) 1\/3 (b) 10 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 21. Calculate the smallest common multiple of 6 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 3*x + 4. Let h be v(-3). Let o = -101540 - -101543. Sort -5, h, o, -1 in descending order.\nAnswer: h, o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 5, -74, -5\/3, 1, -261, 1\/5?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 25020 = 35*k. Suppose 921 = 5*u - k. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 417 = -132. Let f(y) = -194*y - 3. Calculate the remainder when f(-1) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*g - 16, -3*g + 5*z = 1 + 3. Differentiate 0*x**2 + x + 1 - x**g - x with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/45*-3)\/(10\/(-6)). Factor -99\/5 - r*i**2 + 102\/5*i.\nAnswer: -3*(i - 33)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -35, 23, 3, 0, -4 in descending order.\nAnswer: 23, 3, 0, -4, -14, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304007 is divided by 1779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*w + 787 + 619, -3*w = 4*d - 1061. Is 39 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w = -29*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, a: 3, b: 2, d: 1, i: 1, l: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/6 + 3*z**2\/2 - z. Let v(s) = -s - 1. Let y be v(-4). Let a be n(y). Solve 0 = 3*k + t - 5, 2*k - 3*t = 6 - a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**6\/60 - 41*y**5\/60 - 3*y**3\/2 + 46*y**2. What is the first derivative of w(f) wrt f?\nAnswer: -6*f**2 - 82*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2 + 86*n + 153. Let u(z) = 26*z**2 - 244*z - 460. Calculate -6*u(w) - 17*v(w).\nAnswer: -3*w**2 + 2*w + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(-10)\/25 - 2*-89. Let k be j\/35 - (-2)\/(-10). Is 10 a factor of (9\/(-3) - -7) + k*35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 20. Let s(a) = 6*a**2 + 6*a + 3. Let t(f) = -6*f**2 - 7*f - 4. Let v(x) = 6*s(x) + 5*t(x). Let b(j) = 13*j**2 + 2*j - 4. Calculate q*b(c) - 9*v(c).\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1141.51 + 18.51. Let o = v + 1120.972. Let u = 0.138 + o. What is u rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 8225*z - 8220.\nAnswer: -5*(z - 1644)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 6*x - x)*(683 + 51*x**2 - 683 + (-2 + 2*x + 2)*(-2*x + 2*x - 2*x)) as k*x**2 + z*x + b + p*x**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 22644*f**2 - 44664*f**2 + 2*f**3 + 1 + 22020*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 + (-2)\/(-4). Let i = -211 - -211. Let z = 0.07 - -0.23. What is the closest to i in j, -2\/9, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.9.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*p + 46*p + 6 + 8 + 2 + 5 to the form t + f*p and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3704*l + 3691*l - 7369*l + 1 - 3.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*y**2 + 5*y + 452*y**2 - 3*y - 3*y + y.\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:38 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1474, -2947, -4420, -5893, -7366, -8839?\nAnswer: -10312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020485036 rounded to four dps?\nAnswer: 0.0205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.2232121838243?\nAnswer: -0.2767878161757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 - -69. Is (-8)\/b*(2 - -2331)*5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1298 and 43\/61124.\nAnswer: 672364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*j**2 + 4 + (-2*j**2 - j**2 + 4*j**2)*(1 - 2 - 1) + 10*j**2 + 25 - 25 - 157*j + 157*j + 65*j**2 + 2 to the form a*j**2 + u*j + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:08 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 248, -401 in decreasing order.\nAnswer: 248, 3, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*d + 6*d - 2*l, 3*d - 10 = l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/489?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 5*j**2 + 5*j - 5. Let i be x(-6). Solve -n - i = -0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)*v**(-5\/3))**(4\/7))**36 assuming v is positive.\nAnswer: v**(-336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11778626 to 4 dps.\nAnswer: -0.1178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Let x be j\/(-2)*(-2)\/21. Let f = 9.3 - 9. What is the second smallest value in f, x, -4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**3\/3 + 11*l**2\/2 - 13*l - 109. Suppose 32 = -h + 4*d - 22, 4*d = 3*h + 122. Let b = -25 - h. Give u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 63*p**2 + 1256*p - 104. What is i(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 5*w**2 - 5*w**2)*(-113 + 113 + 32*w) + (5 + 1 - 3)*(2*w**4 + 5*w - 5*w) + w**4 + w**4 - 5*w**4.\nAnswer: -61*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 138, 158, 182, 204, 218, 218, 198, 152?\n\"Answer: -q**3 + 8*q**2 + 3*q + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76434098 is divided by 707723.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30286097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108564.2 rounded to the nearest 10000?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10447288489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.3 (b) 1\/3 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-2310)*9*(-42)\/(-9).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 6 - -8 - (1 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21856 in -67, 0.3, -2\/9, -4, 2\/15?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 221 = 14. Calculate the lowest common multiple of l and 94.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**8\/1120 + n**6\/120 - n**4\/16 + 4*n**3\/3 + 8. Let i(t) be the third derivative of u(t). Let i(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5*x**(5\/3)*x**(2\/11)*x**(2\/3)\/x assuming x is positive.\nAnswer: x**(215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*d - 16*d - 7*d**2 + d**3)*(2 + 6*d - 18*d + 11*d).\nAnswer: -d**4 + 9*d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 0*g**5 + 19*g + 4*g**3 + 0*g**4 - 7\/5*g**6 + 0 + 0*g**2. Find the second derivative of o(c) wrt c.\nAnswer: -504*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 22 = -3*j, -j + 16 = -2*v - 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n + 47. Let f be i(-11). Suppose -m + 24 = -5*k - 4, 0 = -3*m - f*k + 84. Calculate the lowest common multiple of m and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**6\/2 + 41*v**5\/20 + 703*v**4\/4 - v**2\/2 - 749*v. What is the third derivative of g(u) wrt u?\nAnswer: 360*u + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 44.6. Which is the second smallest value? (a) p (b) -4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.01\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 306460.\nAnswer: 306460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 744059.82 hours?\nAnswer: 4428.9275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*g - 3*g + 17, -2*r = -4*g - 20. Suppose h + r - 4*h + 3*h - h**2 = 0. Calculate h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 4)*(-3*v**2 + 5*v**2 - 3*v**2)*(13*v - 93 + 93).\nAnswer: 78*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 2*o**2 - 1. Let d(w) = -w**3 - w**2. Let p(k) = -3*d(k) - n(k). Let v = 26 + -28. Give p(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-35) - (-86)\/10. Suppose 0 = -2*l + 94 + r. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.069 - 9.169. Let f = 9.9 + -18.9. Let j = k - f. Put j, 4, -1\/3 in decreasing order.\nAnswer: 4, j, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*p - 48*p + 44403 = 3102*p - 28533 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221158509 by 5.\nAnswer: -221158509\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (3 + (-6 - -2)). Let r = 25 + -15. Calculate the remainder when 31 is divided by r\/(-45) + 74\/m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-30)\/12 + -4 - 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5000.8 - 5001. What is the nearest to 0 in w, 1\/29, -4\/3?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271378 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < -8915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1848, 1837, 1826?\n\"Answer: -11*p + 1859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -12969?\nAnswer: 1\/12969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from {l: 3, s: 2, e: 4, n: 3, d: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 20. Let k be v(-6). Determine a, given that -3*a**3 + 6*a**3 - 12*a**k + 9*a + 0*a**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5059 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 6 + 2*n + 23.\nAnswer: 2*n + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:49 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4\/7 - 6639*q**3\/7 + 3642969*q**2\/7 + 33326667*q\/7 = 0. Calculate q.\nAnswer: -9, 0, 1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 1\/15*g**5 + 0*g**6 + 0*g + 0*g**4 + 1\/105*g**7 + 0*g**3 + 0 - 4*g**2. What is the third derivative of j(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0316 + 0.03159434. Round p to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2 + 0 + 1288\/4. Let h = g - 193. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18714, 37431, 56148, 74865, 93582, 112299?\nAnswer: 131016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2956 is divided by 771.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042138453 to seven dps.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/14 and 2\/35259?\nAnswer: 70518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -2\/11 (b) -0.3 (c) 318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179557, -179554, -179525, -179458, -179341, -179162?\nAnswer: -178909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.8 - -16.5. Let m = -71.3347 - v. What is m rounded to three dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -97. Let f = h + -403\/5. Factor 0 + 0*g**2 + f*g**3 + 32\/5*g**5 + 16\/5*g**4 + 0*g.\nAnswer: 2*g**3*(4*g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -37*p + 55. Let u be v(18). Let x = -608 - u. Solve 2*s - 5*f - 35 = -x*s, 2*s + 11 = -3*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115178?\nAnswer: 2, 7, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2 = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-2 - -2)\/2. Let x be o - (3 - 7 - 2). What is the second biggest value in -1, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and -450324?\nAnswer: 1080777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*l + 3*n, -4*n + 2*n + 50 = 5*l. What is the smallest common multiple of (-235)\/(-7) + (-12)\/(-28) and l?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoazzzma. What is prob of picking 2 z, 1 o, and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -0.30868?\nAnswer: 2.69132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 914053213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.13 - 361263038.\nAnswer: -361262996.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 93339353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243445.\nAnswer: 5, 7, 35527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 218922, 437836, 656748, 875658, 1094566?\n\"Answer: -q**2 + 218917*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 + -152. Let t = 8.4 - 8. Which is the second biggest value? (a) 0.7 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1438 divided by 21494\nAnswer: -719\/10747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b + 73 = 640 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 5. Let t(r) = 1. Suppose -16 = -6*g - 10. What is g*v(l) - 5*t(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.159 + -0.059. What is the second biggest value in -1, -7, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/6)\/z)**(-34) assuming z is positive.\nAnswer: z**(187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*12\/60*(-1)\/3*1\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/3333 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3154, -3505, -3856, -4207, -4558, -4909?\nAnswer: -5260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**4\/6 - t**3\/6 - 6*t**2 + 6. Let d(x) be the second derivative of a(x). Give d(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 29. Calculate the least common multiple of 6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*o**2*r**2 + 2*j**2*o*r + 2*j**2*r + 90139*j*o**2*r**2 - 3*j*r + 66*o**2*r wrt r.\nAnswer: -4*j**2*o**2 + 180278*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14082713*b**3 + 14082708*b**3 + 2 - 2.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 8 - (-2 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1921 and 8?\nAnswer: 15368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 17*f - 13620 = 0. Let o = -742 + f. List the prime factors of o.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -326, -376, -446?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 38 = -5*f, 5*f = -c + 3*f + 23. Suppose -4*d - 2 - 14 = -5*u, -2*u + c = 5*d. Let w(x) = -1. Let q(r) = r - 1. Determine d*q(t) - 4*w(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 15 = r + 2*a, 0 = -2*r - 5*a + 33. Let n be (-219 - 4) + (6 - 2). Let v = n + 213. Put 1, r, v in descending order.\nAnswer: r, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 3*r + 3. Let a(i) = -11*i**2 - 8*i - 8. Let o(z) = 3*a(z) + 8*f(z). Let x(u) = -23*u**2. What is o(x(n))?\nAnswer: -529*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(-254 + 54 - 284)*(6*p - 2*p + p).\nAnswer: 2420*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -78. Sort 2, w, -2.\nAnswer: -2, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3.6 (b) -3 (c) 0.06 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 = -14. Let j be c + (-16)\/3*-3. Suppose -3*m = -5*m + j. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 17056?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 9*h. Let y be s(-9). Let g be 2 + (-1)\/(y - 1). Suppose -312 - 27 = -g*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/5 - 2\/15. Let f be 20\/6*(-3 + (-96)\/(-30)). What is the nearest to -2\/7 in -0.1, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (32 + 5 + 2 + 11).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17775785\/49 or -362771?\nAnswer: -362771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.44777 * 0.06\nAnswer: 0.1468662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 6. Let x be r(-3). Solve 4*w = -x*w + u - 15, -3*w = 4*u + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6703334*a + 10120 = -6703219*a for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((24 - 30) + 4 + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3*s**2 - 9739*d*p - 5388*p*s - s**2 wrt d?\nAnswer: 6*d**2*s**2 - 9739*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 + -98.243. Let t = l - -0.14. Let r = 0.097 - t. Which is the fourth biggest value? (a) -1 (b) 3 (c) -0.5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 4413232103?\nAnswer: -4413232044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.3 + -2.3. Is n != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1234*a**3 - 61*a**5 + 1234*a**3 + (a**3 + 2*a**3 + a**3)*(4*a - 4*a + 2*a**2).\nAnswer: -53*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -362.217 + -0.783. Let q = 365 + k. Which is the second smallest value? (a) 2\/5 (b) q (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147 - 475993*v**2 - 8*v**4 + 237999*v**2 + 237993*v**2 as l*v + n*v**3 + q*v**4 + m + b*v**2 and give m.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 i, and 1 l when four letters picked without replacement from {l: 1, e: 1, s: 4, i: 7}?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 91851, 89669, 87487?\n\"Answer: -2182*a + 94033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:42 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = 0, 4*a = s - 2 - 7. Let o be (2 + 0\/(-3))\/s. Suppose -o - 8 = 2*h. Which is smaller: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 3*o**2 - o - 4. Let i(f) = 5*f**3 - f**2 + 2*f - 1. What is the remainder when w(-4) is divided by i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = -3*n - 22*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 4*m**2 - 2*m**2 + m**2 - 3*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350337 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 301 - -9. List the prime factors of s.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*g + 151*g + 1810 = -928 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33531 + -33523. Let n = 34 - 18. Suppose 0*g = 4*g - n. What is the lowest common multiple of g and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 268301490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13266 divided by -2211?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(80))\/(sqrt(4) + sqrt(576) + sqrt(36)))\/(1*-5*sqrt(250)*-1).\nAnswer: sqrt(2)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10.4 (b) -4\/5 (c) 20 (d) -35 (e) 3 (f) -2 (g) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -5294, -13356, -24632, -39116?\nAnswer: -56802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(143)*2*5 - (sqrt(143) - (sqrt(143) - 2*sqrt(143) - sqrt(143))*2 - sqrt(143)))\/((sqrt(539) - (sqrt(539) - sqrt(539)*1))*5).\nAnswer: -18*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -13*t + 51. Let r(p) = 10*p - 52. Let s(z) = -3*r(z) - 2*y(z). Give s(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4 = 2*v - 1, 4*v - d - 21 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 10, -6, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -257*a**2 - 3*a - 52. Determine b(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 16*m. Let b(o) = -6242*o + 6242*o + 3*o**2. Determine b(c(d)).\nAnswer: 768*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**5 + 8*j + 2. Suppose 8 = -5*w + 13. Let a(i) = i**5 - i - 1. Let f(l) = w*u(l) + 2*a(l). What is the second derivative of f(q) wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 164.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2697*c + 24795 = -164*c + 88437 + 63008 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*d + 5*u + 60, 4*d = 19*u - 15*u - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 267 and 27192437?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 63*q + 528. Give b(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -110, -233, -420, -683?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.94904 * -0.16.\nAnswer: -0.4718464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)\/r)\/r)\/(r*(r\/r**(3\/5))\/r*r)*(r**0*r)\/(r**1*r)*(((r\/r**0)\/r)\/r**(2\/5))**(-45) assuming r is positive.\nAnswer: r**(486\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:54 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -528 - -532. Let c be (-2)\/d*36 - -2. Is -78\/5 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-15 - 0 - -2 - (32 - -2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-1))\/((175\/168)\/(-25)). Does 13 divide t\/30*2*-120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 0.77852?\nAnswer: 7.77852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279873*f*w + 4820*w + 1 wrt f.\nAnswer: -279873*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-39)\/26)\/(5\/(-4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a184 (base 12) in base 9?\nAnswer: 57431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4757 (base 13) to base 2.\nAnswer: 10011100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:29 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0633 - 6.0633. Let l be 4 + -5 - ((-24)\/10)\/4. Which is the fourth smallest value? (a) l (b) 0.4 (c) -1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-96)\/12)\/(1\/(-1)). Suppose 0 = -u + 5*a - b + 31, u + 2*a = -5. Which is smaller: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2 - 21 + 7*s + 10. Is w(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -27. Let a be (2 + 1)*3\/f. Let d(g) = -g**3 - g - 1. Let j(c) = c**3 + 2*c + 5. Calculate a*j(y) - 3*d(y).\nAnswer: 2*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (316\/4)\/((-108)\/1080*10).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000194 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 2\/13, 0.09, -50 in descending order.\nAnswer: 2\/13, 0.09, -50, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -22. Let g(t) = 10 + 61*t**2 + 62*t**n + t - 120*t**2. List the prime factors of g(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 9:52 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.04608922.\nAnswer: 0.013826766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70221 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 170445*p - 170462*p + p**2.\nAnswer: 2*p**2 - 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 588651.6 nanograms in milligrams?\nAnswer: 0.5886516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22398 is divided by 280.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3*l)\/(l\/(l\/(l**(-3)\/l))*l)*(l*l\/(((l**(1\/6)*l)\/l)\/l))\/(l\/l**6) assuming l is positive.\nAnswer: l**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 52*m**2 - m - 2. Let a(l) = -5398*l**2 - 4*l - 3855. Let k(x) = -a(x) + 4*w(x). Find the first derivative of k(t) wrt t.\nAnswer: 11212*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5e5c (base 16) to base 5\nAnswer: -1233111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 4. Solve -o = g*z - 26, 0 = -z - 2*z + 5*o + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1403 and 207.\nAnswer: 12627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 4:11 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43555647133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406296 by 88.\nAnswer: -4617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**2 - 761*n + 237. What is m(93)?\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19906 is divided by 2841.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309943.\nAnswer: 281, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/2))**4)**(15\/4))**29 assuming r is positive.\nAnswer: r**(435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22746 divided by -3\nAnswer: 7582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 96*c - 356. Give m(44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + k**4 + 0*k**4)*(-1 - 2 + 4) + (114*k + 271*k**2 + 181*k - 272*k**2)*(4*k**2 - k**2 - k**2).\nAnswer: -k**4 + 590*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96062 is divided by 30031.\nAnswer: 5969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/3 - 2*b**2 + 6*b + 2. Let u(c) = -c**2 - 5*c - 5. Let a be u(-5). Determine s(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 7*b**2 + 7*b - 19. Determine t(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -9\/2 (c) 3 (d) 15 (e) 1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/11)\/v)\/v**8*v**6*(v*v**(-7)*v)\/v*((v\/(v*v**(2\/9)*v))\/(v**(3\/8)*v))**(-41) assuming v is positive.\nAnswer: v**(77137\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -252, 1 in ascending order.\nAnswer: -252, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 3*s**2 + 3*s + 2. Let k be i(-2). Suppose k = -5*g - 15, -3*t - 6*g + 4*g + 291 = 0. What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 51. Let s(m) = m**3 - 5*m**2 - 4. Suppose z + 0*j = -2*j + 5, 4*j = -z + 5. Let o be s(z). What is the closest to -1 in p, o, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580621?\nAnswer: 19, 30559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.9 (b) -1 (c) 0.409 (d) 2\/11 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 - 17683*f**2\/7 - 78269288*f\/7 - 858823856\/7.\nAnswer: -(f + 11)*(f + 8836)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*c**2 + 2*c**3 + 4*c**2)*(-4 + 0 + 2) + 0*c**3 - 5*c**3 + 2*c**3 + c**3 - 2 + 1 + c**3)*(0*c - 4*c + 2*c).\nAnswer: 10*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*l + 390 + 1521 = -1401 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 15701*q + 94165. Give z(-6).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*r + 49. Let a = -15 + 8. Let g = 49 + a. Calculate the remainder when g is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -5*w + 153 - 122, 0 = -2*w - 5*s + 34 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -124. Calculate the least common multiple of 5 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*t**3 + 25*t - 26*t - 336*t**3 + (5*t**2 - 3*t**2 + 0*t**2)*(0*t + 0*t - 10*t) as f + k*t + d*t**3 + n*t**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*s + 4 - 34, 0 = -5*s - 2*k + 38 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.87 + 0.13. Let p = t + -7.2. Let d = 0.200032 + p. Round d to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150208.\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016355 to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4744 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 110, -2, 295, -4.\nAnswer: -4, -2, 51, 110, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4585 and -16613?\nAnswer: 16612.5415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101010110011011001 (base 2) in base 4?\nAnswer: 10222303121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 507 + -512. Let v(t) = t**2 - 1. Let w(o) = -5*o**2 + 6*o + 13. Let k(c) = 6*v(c) + w(c). Let x be k(q). Let n(u) = 3*u - 2. Calculate n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (sqrt(180) + sqrt(45))*4 + sqrt(45))**2 - (sqrt(180)\/sqrt(4) + -4) - (sqrt(2420)*-2 + sqrt(20) - sqrt(20))\/(sqrt(324)*-2).\nAnswer: -38*sqrt(5)\/9 + 8824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.8058 rounded to one dp?\nAnswer: 129.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 2*s - 4. Let a be c(3). Let k = -12 + a. Suppose -5*h = 4*n - 70, 0 = -h - 2*n + 5*n + k. What is the remainder when 55 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**4 + 8*o**4 - 1 + 8*o + 10*o**2 - 10*o + 14*o**2 in the form h*o + a*o**2 + c + g*o**3 + m*o**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(325) + 0)*-1)**2 - (((1 + -2*sqrt(325))**2 - sqrt(325)) + 3))*5*4.\nAnswer: -80 + 500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 22*z + 1337. Give v(-61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 8, t: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 19)\/((-3)\/2 - 0). Suppose -12*h + 2434 = -t*h. Suppose -6*a + h = 131. List the prime factors of a.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-6)*(-3)\/((-54)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*i + 2*z - 25, -4*z = 3*i - 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354575229?\nAnswer: 7, 193510747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, r: 10, t: 6}. What is prob of picking 3 t and 1 r?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 5) to base 11.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 631\/7 - (-10)\/(-70). Is -1 + v + -19 + 15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1.9860826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15) + (-384972)\/(-1140). Let l = -338 + j. What is the biggest value in 0.3, -2, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - i**2 - i**2)*(45 + 36 - 53)*(1 - 1 - 2*i).\nAnswer: 112*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2466)\/(-15))\/(2\/(-10)). What is the units digit of 1\/(10\/(-4)) - y\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 1827.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1030, 1001, 1002, 1033, 1094, 1185, 1306?\n\"Answer: 15*q**2 - 74*q + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -941741 - 5?\nAnswer: -941746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 24*x - 14. Let y be q(14). Calculate the smallest common multiple of 18 and -1*2*y\/(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -48. Let u(z) = z**3 - 3*z**2 + 3*z - 3. Let c(i) = 7 + 7*i + 2*i**3 - 7*i**2 + 0*i + 8 - 22. What is w*u(s) + 3*c(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/268, -0.3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:00 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.43305l to millilitres.\nAnswer: 80433.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (-4)\/(-6)*3. Suppose r - 8 = -2*p, 4*p + 1 = g. What is the units digit of -2*r\/(8\/(-11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1399, -2834, -4307, -5818, -7367, -8954?\n\"Answer: -19*i**2 - 1378*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 95*y - 19. Let g(l) = -16*l + 3. Suppose 3*n = 2*d + 9, 3*d + 6*n + 7 = 4*n. Determine d*j(v) - 19*g(v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -29.5. Let m = -11.7 - -12. Let l = -1.7 - m. Which is the closest to 0.2? (a) 2\/5 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175524641, 175524638, 175524635, 175524632, 175524629?\nAnswer: 175524626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, e: 5}. Give prob of sequence pp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-118)\/(-56) + 0 + -2. Let d = b - 101\/28. Suppose 0 = 46*q - 993 + 1223. Is d at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/(-60)*20\/(-6). Suppose 5*r - 5*u - 18 - 127 = 0, -m*r - 5*u = -58. Suppose 0 = 3*d - d - 32. Calculate the remainder when r is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -12002202020?\nAnswer: 12002202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01334 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by -7641.\nAnswer: -34\/2547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/143 in 1\/7, 0.3, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 8*k - 9. Suppose -r - 1 = f - 8, f - 2*r - 4 = 0. Give a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 7572?\nAnswer: 7563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(14 - 16 - (-5)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejxvxxejjqxjxvx. Give prob of picking 1 q and 1 j.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83)\/664)\/((-88)\/(-92224)).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -505 - -529.4. Let f = -15 + m. Round f to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/16, -7, 14.\nAnswer: -7, 1\/16, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 28 - 8. Suppose 2*i - t - 19 = 0. Let w(k) = -2*k + 7*k - i*k + 2*k. Let v(q) = 3*q. Give v(w(j)).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5126\/657 - 19\/219. Let j = 2150\/9 - 463\/2. Calculate the common denominator of j and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 2*o + 3*o + o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 12856 to the nearest 100.\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 98 - 142 + 331 + 1238*g.\nAnswer: 1238*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11*t**2 + 27*t + 22. Let g(f) = 5*f**2 - 13*f - 11. Let y(w) = -13*g(w) - 6*n(w). Is y(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*l - 2*l + 16, -l = -4*p + 23. Suppose -p*z = -11*z + 50. Suppose -3*h + 3 = -4*h - 2*s, z = 5*h + 5*s. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 + 1316774*r**2 + 108368031248*r - 54184344818 = 0?\nAnswer: -164597, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10385234 <= 10385233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 8. Let h be o(13). Suppose 0 = -8*d - 4*d + 528. Let j be (d\/8)\/1*94. What is the greatest common factor of h and j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 12334*r**2 - 1 + 5099*r**2 to o + p*r + t*r**2 and give t.\nAnswer: 17433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41324.31 micrograms in tonnes?\nAnswer: 0.00000004132431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**3 + 3*f**2 + 6*f + 2. Let p(o) = -40*o**3 - 11*o**2 - 22*o - 8. Calculate 6*p(j) + 22*t(j).\nAnswer: -20*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + q + 2. Let n(i) = 2*i**2 - 42*i + 2. Let x(b) = n(b) - u(b). Let s(f) = -2*f**2. What is x(s(p))?\nAnswer: 12*p**4 + 86*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (14 + -6 - 13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*t = -42*t - 42*t + 1199 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 + 3*j + 2*j**2 + 0*j**2 - 6*j**2 to t*j + d*j**2 + z and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -4) + 2\/(4\/(-2)). Solve 0 = -r + 1 + z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17167, 17179, 17215, 17287, 17407, 17587, 17839, 18175?\nAnswer: 18607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -369805 + 369806. Let z = 0.7 - 0.4. Which is the third biggest value? (a) d (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 58. Let r(c) = 2*c - 288. Let k(q) = -6*r(q) - 31*z(q). Let d(h) = h - 12. Let a be d(6). Let f be k(a). Solve j + 5 = 2*g, 5*g + 0*j - f = -j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1133102?\nAnswer: -1133100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3291 + 5234. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 4. Let p(l) = -12*l + 42. Let z(b) = -2*p(b) - 22*t(b). Let w(d) = -3*d - 7. Let q be (4\/(-6))\/((-2)\/21). What is q*z(h) + 4*w(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.820298ng to micrograms.\nAnswer: 0.007820298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - v = 100, 0 = -3*p + v + 152. Let w = 40 - p. Let h be (-30)\/(-8) + (-3)\/w. Solve i = h*t - 0*i - 5, -i = 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26272 and 924446?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -2*w**4 - w**3\/2 - 869*w**2. Let a(z) = -z**2. What is a(d(o))?\nAnswer: -2304*o**2 - 288*o - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11321 + -24323423?\nAnswer: -24312102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 - (-4)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 982*j**3 - 4*j - 9*j**2 + 1962*j**3 + 55*j**2 - 977*j**3.\nAnswer: 3*j**3 + 46*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 6. Suppose -2*b + 0*b = 14. List the prime factors of c(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508379 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4944301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 46456?\nAnswer: -46451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/sqrt(9)*-1)\/(sqrt(200) - (sqrt(200) - (sqrt(200)*-1 - sqrt(200)))) + -5.\nAnswer: -5 + sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 2, b: 1, u: 1}. Give prob of sequence orr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1667 rounded to 1 dp?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2692 is divided by 68.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -39 and -38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 13. Let b be u(5). Let l be (-10)\/b - 1\/(-4). What are the prime factors of 68 - (-3)\/(-6)*l*2?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -6, -11, 3 in decreasing order.\nAnswer: 3, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from kkkoopoooocofkfkofk.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 3*x + 9, -5*v - 3*x - 1 - 8 = 0. Factor -2 - 10*p**2 - p**5 - 10*p**4 - 20*p**3 - 10*p - p**5 - 10*p**2 + v*p**5.\nAnswer: -2*(p + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + (-29 - -52) - -21.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 + x**2 + 2*x + 1. Let r be v(-1). Let q be 4\/3*r\/2. Find the second derivative of 3*l**q - 2*l + 0*l**2 + 0*l + 0*l wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*d - 39858 = -275*d. Calculate the remainder when d is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 452 = 386 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 3. Let p = 26 + -28. Let l be b(p). Suppose 22*r**3 - 5*r**2 + 24*r**4 - 53*r**5 + 13*r**l - 7*r**3 + 6*r**4 = 0. What is r?\nAnswer: -1\/2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 22*k + 3064. Let h(c) = -4*c - 8. What is 6*h(g) + m(g)?\nAnswer: -2*g + 3016","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0. Let m = -46540 - -139618\/3. What is the nearest to n in -0.4, 11\/3, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + p + 1165, 1740 = -3*t - 2*p + 5255. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from {t: 2, c: 2, o: 1, s: 4, f: 1, m: 5}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 6 - 6. Is h less than -2\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*u = -480*u - 90 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2694319*4.\nAnswer: -1.0777276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6495 + 6501. Solve a*p - 43 + 67 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471243 less than 483?\nAnswer: 1471726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 4*n + 2*x, -3*n - 4*x - 1 = 15. Let k = n - -37\/3. Let t = -2 - -4. Is k at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71543 is divided by 124.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16269944533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252*k**5*m**2 + 195*k**4*m**3 + 3*k**2*m**2 - 14*k*m**3 + 33798*m**2 wrt k.\nAnswer: -15120*k**2*m**2 + 4680*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2\/5*q**3 + 142\/5*q**2 - 2448\/5*q - 2592\/5 = 0.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/27? (a) -9 (b) 3 (c) 0.3 (d) 0.5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55380234 and 9282?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72540.37 litres?\nAnswer: 72540370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/115995 and 58\/453435?\nAnswer: 4987785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-6)*-1*(80 + 7). Is 145 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f = 693 - 2343 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 826968 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 3. Let c be k(2). Suppose -38462 + 2467 = 5*m - f, -28825 = 4*m + c*f. What is m rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z + 74. Let g be (0 + -53)*(-13 - -14). Let w = z - g. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -2 - 0\/(-2). Let k(a) = a**3 + 8*a + 33 - 6*a - 25 + 7*a**c. Calculate k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2538 + 6983. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11015*m + 11018*m - 72 = 0. Solve -115*y + 103*y + m = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 37*f + 147. Let a be x(-3). Let z(b) = -25*b + 1. Let p be z(1). Let j = p + a. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 37, 2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1335944536 and 4.\nAnswer: 1335944540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 243268 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*v + 4*a, a - 216 = 3*v - 8*v. Let d = 46 - v. Solve 0*l = -2*l + 4*r - 10, d*l = 4*r - 7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -23 (b) -5 (c) 2 (d) 17\/10 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Add together 441.6558 and -5.\nAnswer: 436.6558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 0*(-1)\/1. Suppose 3*y = -2*n - 2*n + 400004, 2*y = -5*n + 500005. Let t be 3 + r\/(-1) - n. Round t to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4049, -2, 0.28, 2, -0.4, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 29454, 0.3, -1\/5, 0.4 in descending order.\nAnswer: 29454, 0.4, 0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzjf when four letters picked without replacement from zzfjzzjj.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 101. Suppose -m*l = -60 - 4. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4126, 8664, 13202?\n\"Answer: 4538*k - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d**2 - 2*d - 1. Let s be r(2). Let t = -122 - -123. Which is the nearest to -1? (a) -0.2 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*i - 5*x, -3*x - 2 + 22 = -5*i. Let g be i - 2*(-1 + 0). Sort -2, g, -1 in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 393 = 473 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1763 - 4267. Let s = -52669\/21 - h. Find the common denominator of s and 99\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = -o + 3*j, -3*j = 3. Let h be 1*o*70\/4. Let u be (-226)\/(-16) + 1\/(-8). What is the greatest common divisor of h and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.09 - -0.09. Let z = y + 4.3. Let p = -18 + 37\/2. Which is the closest to -0.1? (a) z (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 82 = 39*h + 198 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 12*g - 20. Let h = 1 + -0.6. Which is the closest to g? (a) -3\/5 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2950866, -3\/7, 2\/17 in increasing order.\nAnswer: -5, -3\/7, -0.2950866, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g**2 + 74*g + 22. Let p be l(7). Let d(b) = 2*b**2 - 2*b + 4. Let x be d(3). Suppose 3*h + h + x = 0. What is the nearest to p in 0, h, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1759*o + 3521. Let l be g(-2). Solve 0*s = l*s + 15, -5*v = -s + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 264448.5.\nAnswer: 264448.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 115063 * -0.11\nAnswer: -12656.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naaaaaaaaaaanaaaaa. What is prob of sequence naa?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (11 - (-33 + 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**3\/6 - 29*t**2\/2 - 2*t. Let u be j(0). Let h be 10\/(-45) + u\/(-9). Calculate the highest common divisor of h and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**4\/6 + 2*h**3\/3 - 8*h\/3 + 86. Factor g(r).\nAnswer: -2*(r - 2)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 67.5. Which is the nearest to 0? (a) -0.2 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305482 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548289101?\nAnswer: 19, 479, 280001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -233530 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from rrzvirizrizrzrz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0)\/(-2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31233, -62468, -93703?\n\"Answer: -31235*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68727 is divided by 1963?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 1483 = 61. Suppose -x = -c - 4*i, 2*c = i + 273 + 174. Is 33 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*183\/1708.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707272 - 707272 - 117*y.\nAnswer: -117*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 1512?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 20 = -31*k. Suppose -14 = -k*v + 1. Let c(g) = 3*g**3 + 3*g**2 - 3*g. Let s(o) = -4*o**3 - 2*o**2 + 2*o. Give v*s(w) + 2*c(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)\/(u\/((u\/(u**(-2\/5)*u))\/u))*(u*u\/(u**(-3\/5)\/u))\/(u**11\/u) assuming u is positive.\nAnswer: u**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.1. Let i = 122.3 + -111.3. Which is greater: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -790602\/49 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 5. Let s(d) = d**2 - 6*d + 6. Let k be s(5). Let m = k + 3. What is the remainder when 32 is divided by t(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/1066373?\nAnswer: -2\/1066373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-5 - -1)) + 23 + -26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*z - 4, -3*x - 2 = -4*x - 4*z. Suppose x*t + 8 = 6*t. What is the remainder when 3 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17790 and 36990.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 48 = 54 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(1872) + 0 - sqrt(1872)*-1*-3) + 5*(-1 + sqrt(1872) + sqrt(1872)) + sqrt(1872)*1 + -4)*-4*5)**2.\nAnswer: -1209600*sqrt(13) + 60731200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 4. Calculate c(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 5 (c) -6375 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -73. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/405384 and -53\/110580.\nAnswer: 196611240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41015419.\nAnswer: 4349, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 13*b + 11. Give m(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 141?\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139382707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 197929531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/5 of a hour?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -21*j**3 - 2*j**2 + 2*j + 6. Let k be -2 + 1410\/35 - 4\/14. Suppose -42*f + k*f = 8. Is a(f) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/28332 and -23\/36?\nAnswer: 28332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 132 = -10*t - 2*g, 3*g = 12. Let s be (2 - t\/(-20))*3 + -1. Sort s, 1\/2, 0.106, 0.1 in ascending order.\nAnswer: 0.1, 0.106, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 647 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t + 31. Let h be v(-5). Let i be -2*-2*h\/8. Sort -1, i, -2 in decreasing order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from vebgr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 - -281. Let d(x) = -x**3 - 11*x**2 - 12*x - 15. Let m be d(-10). Find the first derivative of m*w**4 + s*w**4 - 11 + 0*w**4 wrt w.\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 781*s**2 + 4655*s - 3875.\nAnswer: (s - 775)*(s - 5)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 55 = 13*v. What is the second derivative of v*z**2 + 12*z - 10*z**5 - 10*z**2 - z**2 wrt z?\nAnswer: -200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122444223 + 10?\nAnswer: 122444233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 - 1))\/(1\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-57))\/((-2)\/3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5254 is divided by 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 4 + 14 + -7. Let u be ((-108)\/(-72))\/(f\/32). Solve 3 = 5*c + u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-77)\/(-21) - (-12)\/(-18). Suppose 12*n = 10*n. Factor -v**3 + 4 + 7*v - v**g - v + n*v**3.\nAnswer: -2*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -23. Suppose k = -4*r + 4, -5*r + n = -3*k - 0*k. Find the second derivative of -2*p - p + p + 2*p**r wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -59\/2942, -0.4 in ascending order.\nAnswer: -0.4, -59\/2942, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*5037.\nAnswer: 110814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from ccegccnch?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -15*o**3 - 12*o**2 - 34*o + 9. Let l(j) = 7*j**3 + 6*j**2 + 16*j - 4. Let q(u) = 13*l(u) + 6*w(u). Calculate q(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, 11, 216, 1, -6 in decreasing order.\nAnswer: 216, 11, 1, -6, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 + -0.05. Let s = 3.94 + t. Let i be (6\/(-14))\/((-3)\/4). Which is the third biggest value? (a) 5 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p - 2*x = -10, -5*p = -3*x + 15. Let n be 4 + -3 + (-15)\/21. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**0*v))**(-1\/19))**(1\/14))**4 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -680 - 2*l**4 + 2*l**2 - l**3 + 225 + 223 - 9*l + 225 to p*l**3 + g + o*l + s*l**4 + b*l**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*h - 57, -4*n + h - 58 = 29. Let y be n\/6 - -1*1. Which is the nearest to -2? (a) -5 (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1061573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 186754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 25, 76, 181, 358, 625, 1000?\n\"Answer: 3*c**3 - 6*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-84) - (-1)\/((-28)\/(-28792)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 411426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185708927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176 - -176. What is the second smallest value in -0.15, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98877?\nAnswer: 3, 23, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 610000*o. Let k be p(7). Round k to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from khkxkhxx.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -27467\/20 at most as big as -1373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.32768.\nAnswer: 1.31072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 3. Let o be (-1 - i)*2\/(-4). Calculate the highest common factor of 4 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 18*q - 4*m, 8 = -7*q + 8*q - 5*m - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 135 = -5*f + 4*g, -g = -3*f + 85. Let p be 22\/18 + (-2)\/9. Calculate the remainder when f is divided by ((-16 - 0)\/(-2))\/p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3)*(-2 + 1 + 4)*(1 - 3*l - 1) in the form a*l + w and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911060015?\nAnswer: 5, 23, 7922261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1511*t**2 + 896430*t - 896430*t - 1.\nAnswer: 1511*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -0.1457215 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = -1. Let o be (-8)\/(-36) + 4\/(-18). Suppose s = -0*s - 5*x + 5, -3*x + 6 = o. Put s, 5, u in ascending order.\nAnswer: s, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 31*d**3\/3 - 2*d - 35. Let h(k) = -2*k. Determine a(h(c)).\nAnswer: 124*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76181418 by 1.\nAnswer: -76181418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15802936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**16\/o)*o*o*(o\/(o**(3\/4)*o))\/o assuming o is positive.\nAnswer: o**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 11:49 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2375 = -5*m, 3*b + m = 5*b - 1189. Let v = -304 + b. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**5\/3 + 45*w**4 + 295*w**3\/3 - 545*w**2 - 600*w = 0?\nAnswer: -24, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(1088)*-1 + 3 + -2*((sqrt(272)*2 - sqrt(272)) + sqrt(272)) + 2))**2.\nAnswer: -13824*sqrt(17) + 354816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75681?\nAnswer: 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1472036 take away -39391247?\nAnswer: 37919211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - adb?\nAnswer: -adb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 326 - 328.09. Let a = 2.1 + p. Let f = 1.6 + -2. What is the second biggest value in a, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:12 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 452 = 4348. Round t to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(((-8)\/22)\/((-98)\/(-49)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q - 2*q)*(43 - 49*q - 43) to the form i*q + t*q**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95139, 5, -5369.\nAnswer: -5369, 5, 95139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 46\/5 of a second?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 + 9*m**3 - m**3.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*t = -8*p + 109*t - 12, -76 = 30*p - 4*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0*w + w + 0*w + w. Let i(b) = -15*b. Determine i(s(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - ((-4)\/(-4)*4)\/1. What is the nearest to -0.1 in -0.12, -2, a?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*u + 37850, 3*l + 4*u - 28532 = 28245. Is 2\/(-9) - l\/(-99) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 571*h - 568*h - 41, 4*h - 16 = 0 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -771, 1, -18370, -1.\nAnswer: -18370, -771, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 7597?\nAnswer: 7597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 35, -3 in decreasing order.\nAnswer: 35, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19875269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1024*x - 1038*x - 83 = 1 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 + y**2 + 2. Suppose 6 = 3*g - 7*f + 2*f, -3*g + 6 = 2*f. What is the remainder when h(g) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16)\/((-114)\/48)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5\/2 - 5*y**4 - 15*y**3\/2.\nAnswer: 5*y**3*(y - 3)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -3673 and -199 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11711*x + 1584*x + 2391*x - 4462*x to j*x + i and give j.\nAnswer: -12198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6193 - 6194. Sort -7, -41, r.\nAnswer: -41, -7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52300 + 52300.069939. Let g = h + -0.07. What is g rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 4*r + 5. Let f be p(-5). Let j be (-2 - -4)\/(-1 - 1). Let n = -68 - -63. Sort f, j, n in decreasing order.\nAnswer: f, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106520 to the nearest 1000.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*w + 25 = 0, 4*c + w = 5*w - 4. Let p be (-6*2\/c)\/2. What is the third derivative of 2*d**2 - d**6 + 0*d**p + 0*d**6 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 = 33*k - 11*k + 4*n + 121, -3*k - 4*n = -39 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2759*u - 76*u**2 + 5504*u - 2752*u - 301*u**2.\nAnswer: -377*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + -3 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*l - 10 = 0, 2*o - 4*l = -3*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1974857671047 and 316.\nAnswer: -1974857670731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 113*o**2 - 1005*o - 13. What is s(9)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Let v be 50*6\/276 - 48\/552. Let y(b) = 23*b + 1. Calculate v*y(g) - 2*x(g).\nAnswer: 25*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*k + 617*k - 1196*k.\nAnswer: 75*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -97723, -209.\nAnswer: -97723, -209, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 2 a when four letters picked without replacement from tmiaciaaaacccaicaif?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1792089 less than -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 314*w**3 + 3*w**2 - 4*w + 3. What is the units digit of t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 11142.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3)*0 - -4. Suppose 4*u - 2*x - c = 0, -u - 2*x - 2 = -4*u. Suppose -4*w - 2*y + 12 = -7*w, -u*y - 12 = 3*w. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*u**3 - u**3 + 1.\nAnswer: -6*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121374757?\nAnswer: 7, 17339251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 20*r**5\/3 - 14*r**4 - 32*r**3 + 130*r**2\/3 - 4*r = 0.\nAnswer: -2, 0, 1\/10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1513036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naa when three letters picked without replacement from {i: 1, a: 2, s: 1, o: 2, q: 7, n: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -40*l**2 + 4*l. Let q(j) = 80*j**2 - 9*j. Suppose 275 + 607 = -147*n. Calculate n*q(t) - 13*y(t).\nAnswer: 40*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/20 - q**4\/12 + q**2 - 2*q. Let s be f(-2). Is s > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 24*n**2 - 11*n + 215. Does 9 divide k(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (5 - 3) + -6 + -10 + 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 3\/5, -0.4, 3, 1\/3572?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 145 = -5*f, -2*f - 12 = -f + 16147*z - 16146*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 369? (a) 0.08 (b) 20 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 1. Let y be s(1). Suppose 4 = y*i - i. Suppose -i = -l + 12. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62306 - -160311. Suppose -l = -5*v - 31440. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7890.67 rounded to the nearest one hundred?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(1\/4)))\/h)**21)**(-2\/29)*(h**(-2\/13)\/h*h*h**(-2)\/h)**(-1\/7) assuming h is positive.\nAnswer: h**(8111\/5278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 22 = o + 6*i, 3*i - 15 = 0. Solve -7 = 2*q - 5*q + o*m, 10 = 5*q - 3*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0*t - 20 + 0 + 4*t**2 - 31*t + 11*t. Calculate the least common multiple of 40 and r(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 4*b)*(3*b**4 + 121 - 121 - 3*b**2).\nAnswer: 9*b**5 - 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134103 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -255 + -55081?\nAnswer: -55336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1920855885?\nAnswer: 3, 5, 13, 9850543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/14913 and 95\/228666.\nAnswer: 685998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-15) - 1\/3. Let n = -9774 - -9773.6. What is the closest to y in 1, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3700 - -3713. Which is the third smallest value? (a) l (b) -1\/5 (c) -0.1 (d) 0 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6.8. Let j be (-2)\/(-4)*(-16)\/2. Which is the second biggest value? (a) j (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 1:16 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 76. Let o be ((-2)\/(-3))\/(2\/h). Let g be 14\/o*-5*8\/16. Solve -g*p = -4*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*j - 656 - 356, -810 = -4*j - 2*i. Let m = 581 - j. What is the greatest common divisor of m and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 - 2*r - 2. Let p(l) = -2*l**3 - 8*l**2 + 3*l + 3. Let z(c) = -c**3 - 10*c**2 - 19*c - 32. Let b be z(-8). Give b*y(k) - 5*p(k).\nAnswer: 2*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2*g - 2)*(-5*g + 14 - 14)*(4*g**3 + 36 - 36).\nAnswer: 40*g**5 + 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -535714*t**4 + t**2 + 145739*t - 4.\nAnswer: -6428568*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6250 = -5*s - 5*n, n = -2. Let d = -9987\/8 + s. Find the common denominator of 151\/30 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(60)\/sqrt(6)) - sqrt(8)\/(sqrt(6)\/sqrt(3)))\/((sqrt(80)\/sqrt(128))\/(sqrt(405)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135040 to the power of 1\/2, to the nearest integer?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9652 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25541137 * -0.2\nAnswer: -5108227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168867 by 87.\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/8 - 771430\/(-44). What is f rounded to the nearest 100?\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/9 + -2 + 6*690\/(-270).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-32)\/(-2))\/((33\/30)\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4553959.563 rounded to the nearest 100?\nAnswer: 4554000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t - 8. Let h(k) = -4*k - 5. Let v(u) = -8*h(u) + 5*m(u). Let y(r) = 15*r**2 + 2*r. What is v(y(s))?\nAnswer: 30*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 21. Let l be (i\/3)\/((-6)\/(-21)). Calculate the greatest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 1. Let q be g(12). Solve 5*l + 0*l - q = -w, 15 = 5*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2 + 4 + 7 + 2*d - 3. Let o(l) = -l - 5. Let t(k) = 3*b(k) + 4*o(k). What is the first derivative of t(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 28145145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 7}. Give prob of sequence xsx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-1) - 0) + 6. Suppose w + 5 = 57. What is the greatest common factor of w and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 231110, 924452, 2080016, 3697796, 5777786?\n\"Answer: -k**3 + 231117*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -6950?\nAnswer: -2085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -159. Let l = x + -28. What are the prime factors of l?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0181592966 - -0.01816. Round v to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4400857 is divided by 280?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51018831 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: List the prime factors of 1533950.\nAnswer: 2, 5, 11, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.5.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + -7 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 3. Let c be (0 + 2 + -2)\/3. Let v be q(c). Suppose v*l = 7*l - 56. Solve -2*k + 5*j = l, 0 = -0*j + 3*j - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/6 + 5*h**2\/2 - 119*h\/3 - 88 = 0.\nAnswer: -24, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -546 - -96067\/176. What is the common denominator of y and 43\/1408?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.57588 * 2.77\nAnswer: 4.3651876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 + 1323*r**2 - 121 + 19 in the form u*r**2 + k*r + g and give u.\nAnswer: 1323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9\/(-12) - 364\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*3)**2*4 - -4*sqrt(108).\nAnswer: 24*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(1\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*b - 3056 - 2377 + 2151 = 2442 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/7 (c) -1\/3 (d) -3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvv when three letters picked without replacement from {g: 2, v: 16}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from rrrxxxxxxxrxxx?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1330293 and -30456.\nAnswer: -30456.1330293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:34 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2946339*m**3*v**2 + 339*m**3 + 531*m wrt v.\nAnswer: -5892678*m**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -136, 5 in descending order.\nAnswer: 5, 0, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**3 + 13100*k**2 + 277305*k = 0 for k.\nAnswer: -21, 0, 2641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/1650*(-65)\/(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14098522 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45318954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -759, -1516, -2259, -2982, -3679, -4344, -4971?\n\"Answer: o**3 + o**2 - 767*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.56 * 49.\nAnswer: 76.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/25? (a) -3 (b) -2056 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 1 = 5*x + 2*c, 2*x - 5*c = 41 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 5\/2, -4, 4\/959 in ascending order.\nAnswer: -4, 4\/959, 1\/2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12762 + 21083. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 6\/(-8))*-4. Solve a = -3*y + 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**5*x + h**5 - 2*h**2*x + 4*h**2 + 2*h*x wrt h.\nAnswer: -120*h**2*x + 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + 0*o)*(0 - 3 + 1) + o + 2*o - 2*o - 2*o - 1 + 1 + 8 + 0 - 2*o - 5 + (2 - 4 + 4)*(0*o + o + 2*o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (2 - 24))*(-7 + 5). Let w be 16\/i + ((-36)\/(-5))\/3. Suppose -2*d + 9 = 3*m, 2*m = -w*d - d + 26. What is the remainder when 67 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/2 + 5*o**3\/3 - 2*o**2 + 2*o + 8952. Calculate r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*s = -70, 18 = 28*x - 27*x - s. Calculate the remainder when 174 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108076458 divided by -4.\nAnswer: 54038229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25*1392\/(-49300))\/(44\/34).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:10 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 63 = 2*l. Calculate the least common multiple of l and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Let i(m) = m**2 + 3*m - 1. Let a be i(l). Let g(f) = -f + 20. Let b be g(14). Solve -5*x - b = a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - a + a - a + 2*a - a + a + a + (-3*a + 3*a + 2*a)*(0 - 2 + 4) - 5*a + 3*a - 3*a)*(2184*a**2 + 14*a**4 - 2184*a**2).\nAnswer: 14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2240 and 3882?\nAnswer: 4347840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - ((-19 - (-11 + 5)) + 21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**5\/60 + 228*r**2. Let q(d) = -80*d - 2. What is l(q(k))?\nAnswer: -6400*k**2 - 320*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 232 = 162*r - 656 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 114149997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.0532852.\nAnswer: 0.2131408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*-5 + 0 + (2*sqrt(784) + sqrt(784))\/sqrt(8).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -0.48. Let v = 0.14 + r. What is v rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1301 + (9 + 8 - 10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 9*l**2 + 3. Let h be n(9). Suppose u = 3 + h. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*z - 4 = 0, -4*z + 6*z + 11 = w. Let r(b) = 3*b + 12. Let k be r(w). Calculate the greatest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113432042 (base 6) to base 14\nAnswer: 3d809c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 - 12 - 12*c - c**2 - 3*c**2 + c**2. Let j be f(13). What is the tens digit of 4\/(j\/52*(-1 + 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1148 - -1153. Let a(j) = 3*j - 9. Let l(t) = -2*t + 5. Give o*l(g) + 3*a(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 less than -166107.7?\nAnswer: -166107.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77372, 77377, 77382, 77387, 77392?\nAnswer: 77397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4902)\/1290)\/(7\/(-20)) - 11.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-6*sqrt(65)*2*6)\/(-6*((sqrt(30)\/sqrt(3) + sqrt(10))\/sqrt(2) + sqrt(5))))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {u: 5, s: 5, e: 1, k: 1, q: 7}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 + 32 = 0. Let u(k) = 6*k - 72. Let n be u(19). Calculate the greatest common factor of y and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g - 11. Let k be w(-5). Suppose -k + 20 = -4*c. Solve 3*z + c = 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 2, m: 1, a: 2, i: 1}. What is prob of sequence rrga?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(2\/(-126)) - (4 - 5) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1653*n + 5*l - 1 = 1651*n, -4*n - 3*l = -9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/10)\/(6\/5). Let v = -318 - -976. Let u = 657 - v. Which is the closest to u? (a) l (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49.91 - -50.0501. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.4, 2.4, 56915?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = 33. Let o = 18 + h. Let u be (1\/4)\/(o\/12). Is u smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-129 + -3) + 2 + 1764\/252.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 577.05 to 0 dps.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97581 + -42314. Suppose 35*w - 30028 = t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -0.1, 2, -0.03, -57?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/13 - 3\/(-2))*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 6*y - 3. Suppose 6*p + 10*p - 80 = 0. Let k be m(p). Solve -k - 10 = 3*u, j + 4*u + 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17379, 17385, 17393, 17403?\nAnswer: 17415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887945 + 2*j - 887693 + 1775638.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:37 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + (-9 - (-12 + -24 - -8))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u - 116. Let l be k(-20). Suppose -4*h + 11 + 9 = -5*z, -2*z - 2*h = -10. Factor z + 0*v + 0*v**2 + 3\/5*v**l + 3\/5*v**3.\nAnswer: 3*v**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + ((-24)\/(-12))\/((-2)\/(-3)). Let g*m**2 + 4205 + 62*m - 43*m + 271*m = 0. Calculate m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*g + 7*g. Let o = -4 - -13. What is the greatest common factor of g and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8800032 divided by -70968.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14)*(-1 + 2). Let n = 2 - 0. Let p = 4 - n. Sort s, 3, p in ascending order.\nAnswer: s, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 4*v. Let d be s(-3). Suppose -t + d = 7. Is t bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqbo when four letters picked without replacement from bqogqgqbogqbq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 1140*z - 7784.\nAnswer: -4*(z + 7)*(z + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 y, and 1 m when four letters picked without replacement from {l: 2, s: 1, i: 1, m: 4, y: 3, o: 7}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/5)\/((v*v*v*v**(-2\/9)*v*v)\/v))**(-18))**(1\/19) assuming v is positive.\nAnswer: v**(412\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17861, -19346, -21823, -25292, -29753?\nAnswer: -35206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u - 150*u = -41*u - 65*u + 210 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from osbsfsses?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6401*d**3 + 5*d**2 + d - 5. Let w be x(5). Round w to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-12) - 47999\/(-2). Round y to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 285 - 495. Let w = p - -413\/2. Let x be ((-3)\/2)\/((-6)\/(-16)). Is x > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208) + (sqrt(208) - (-2 + sqrt(208)))*2)*-6 + -1.\nAnswer: -24*sqrt(13) - 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/4*(-2)\/10. Let f(x) = x**3 + 4*x**2 + 2*x + 6. Let z be f(-4). Let u be z\/8*(-12)\/(-9). Is u bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1111101222?\nAnswer: -1111102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881684 is divided by 51840?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5807064 is divided by 73.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m - z = 148, 2*z = -3*m + 145. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67525485 divided by -776155?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 12. Let c be i(-7). Suppose 1186 = -3*y - c*p - 2114, 0 = 3*p. Let b be y\/(-8)*(0 + 2). What is the highest common divisor of 25 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.035*2.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20116 in -4, -1, 4, -0.5, -0.1, -2.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l + 2. Let p(o) = -53*o - 3. Determine p(q) + 2*s(q).\nAnswer: -45*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 281992835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240642 divided by -261.\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**3 + 13*r**2 - 6*r + 24. Let n be i(18). Suppose -17*k - n = -5*k. Round k to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 506 + -362. Suppose -w - k - 4*k = -41, -4*w - 2*k = -74. Calculate the highest common divisor of a and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llil when four letters picked without replacement from {l: 4, i: 1, u: 9}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*j - 9, 0*j = -4*r + 2*j + 22. Suppose 2*a - 37 = 3*f, -f - r = -0*f. Solve -a = 2*g - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383612419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 38*q + 936 = 0. Let r = q - 82. What is the greatest common divisor of 20 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.413 - -0.033. Let r = s - -0.37. What is r rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -843*i**4\/4 + 645*i**3 + 501. Find the third derivative of b(v) wrt v.\nAnswer: -5058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-223245)\/18755 - 3\/31.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489260714 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -223*k + 20. Let w be j(-10). Let g = -1141 + w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**2 + 4*v + 2. Let i be d(0). Solve -2*j - i = 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -333232 minus -14276.393?\nAnswer: -318955.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -3 + 1\/42*l**4 + 1\/42*l**3 - 1\/210*l**6 - 1\/14*l**2 - 2*l + 1\/294*l**7 - 1\/70*l**5. Factor u(f).\nAnswer: (f - 1)**3*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/21 + 0 + -3 + 4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2736) + sqrt(2736) - sqrt(2736)) + -5)**2 + 5 + ((sqrt(2736) - (sqrt(2736) + 2 + sqrt(2736)))*-2*6)**2.\nAnswer: 6816*sqrt(19) + 397317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 38*t**2 + 391*t - 3. Determine o(-11).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v + 0 - 10*v**2 + 1\/6*v**6 + 0*v**3 - 5\/12*v**5 + 5\/12*v**4 - 1\/42*v**7. Suppose y(q) = 0. Calculate q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4 - 2519*c**3 - 2*c**2 - c - 88489 with respect to c.\nAnswer: -4*c**3 - 7557*c**2 - 4*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2461528 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4283, -8620, -12957?\nAnswer: -17294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 88, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1154\/5091 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 66038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + 4 + (5 - 3 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 54 = -121*n + 40. Sort -5, n, -4, 6, 2.\nAnswer: -5, -4, n, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 171 - 165, 4*j = -4*t + 24. Put 286, j, 1 in decreasing order.\nAnswer: 286, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.372 less than -0.507?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) 2\/25 (d) 2287\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 4 (b) -0.1 (c) 14\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 688\/1032*1*1\/(-2)*(-2)\/(-7).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3848136, -3848137, -3848140, -3848145, -3848152?\nAnswer: -3848161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.7 - -3.5. Let z = 21\/58 - -4\/29. Let m = z - 5\/6. Sort m, -0.5, u, 0 in ascending order.\nAnswer: -0.5, m, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -15*k - 375. Let b(l) = -8*l - 184. Let y(a) = 7*b(a) - 3*x(a). Give y(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5355 - (104\/80 + (-9)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80313, -158120, -235925, -313728, -391529, -469328, -547125?\n\"Answer: w**2 - 77810*w - 2504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/24)\/p*p**(-23))**(-1\/6) assuming p is positive.\nAnswer: p**(577\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 28*v + 24 = 2*s + 6*v, 0 = -5*v - 45 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-172)\/2*4\/(-12). Let n = x - 28. Let p be 3 - 14\/(-4)*(-12 + 11). Put -4, n, p in ascending order.\nAnswer: -4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188205434?\nAnswer: 2, 277, 383, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000892 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -2ac759?\nAnswer: -2ac755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -405 - -3312132?\nAnswer: 3311323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225*b**2*t**4 + b**2*t**3 + 9*b**2*t**2 + 40*b*t wrt t.\nAnswer: 5400*b**2*t + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:22 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000926541 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*d - 6. Let l be (1 - 1)\/((-4)\/(-2)). Let v = -422 - -434. Solve l = -2*c - d + v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d**2 + 1 + 74609*d**3 - d**2 + 84*d**2 - 74638*d**3 as f*d**2 + n*d**3 + z + i*d and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 134. Let w = 84.69 - 10.69. Let i = j + w. Put i, 1\/6, 0.5 in increasing order.\nAnswer: i, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (84\/(-14))\/((-6)\/(-4)). Which is the nearest to 2? (a) h (b) 0.5 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let d = 162 - 162. Let h(m) be the third derivative of d + 0*m + 0*m**3 + 1\/60*m**5 - 4*m**2 + 0*m**4. Calculate h(y(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.14. Let q = 77849.3 + -77849. What is the closest to -1 in -5, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26140*c**2*m**3 + 2413*c**2*m + 2*c*m**2 - 2*m**2 - 2*m wrt m.\nAnswer: 156840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(1\/(-6)). Solve 0 - k = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + 3*t)*((2 - 2 + 2)*(-2*t + t - 16*t) - 3*t - 1 + 1).\nAnswer: -111*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2473110 by -5.\nAnswer: -494622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 361897600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:38 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (59\/(39825\/(-90)))\/(2\/(-12)). Let s be (-2)\/(1\/(-2)*-4). Let y be ((-3)\/6 - s)*0. What is the third smallest value in y, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l = -3*i + 49*l + 66, -i + 3*l = -35 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d + 125?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b - 7. What is the remainder when 2\/3 - 194\/(-6) is divided by j(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52444*z + 7477*z - 3880*z.\nAnswer: 56041*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aza when three letters picked without replacement from aaaazazazzaaz.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -464 - -468. Suppose 0 = 4*m + 3*h + 4, 0*m + d*m - 5*h + 4 = 0. Which is bigger: m or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4147817 and 467443?\nAnswer: 5917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 e when four letters picked without replacement from eqqqexex?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124, 253, 382, 511, 640?\n\"Answer: 129*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one eighths of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**1\/d)**(-46) assuming d is positive.\nAnswer: d**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 4, 5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-22))**(-14\/11) assuming d is positive.\nAnswer: d**(294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -24.097?\nAnswer: -120.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*j, -2*j + 966 = 17*d - 15*d. List the prime factors of d.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = 4*r. Let w(q) = -q - 4. Let f(a) = 2. Calculate r*w(n) - 5*f(n).\nAnswer: 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -52394100 to the nearest one hundred thousand.\nAnswer: -52400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 2635252*j\/9 + 292806.\nAnswer: -2*(j - 1)*(j + 1317627)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60449 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 13) to base 7\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/3 - 2*g**2 + 240*g - 4600\/3 = 0. What is g?\nAnswer: -23, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-70)*-4*5\/(-24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (562\/25)\/(3*36\/20). Let z = c + 1\/27. Is z greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 - 11 + 21*f**2 - 5*f - f**2 - 14*f**2. Calculate r(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51144 (base 7) to base 15.\nAnswer: 3a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 66*q**2 + 2*q + 12017. What is the hundreds digit of w(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**4\/17 - 16*w**3\/17 + 8*w**2\/17.\nAnswer: 2*w**2*(w - 2)*(3*w - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = 2*x. Let b(c) = -43*c + 36. Let q be b(-7). Let r = q - 5731\/17. What is the nearest to -2 in r, 3, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5) - (134\/(-10))\/(-1). Let d be z\/(-4) - (-3)\/(-2). Let k(l) = -2*l**2 + 2*l - 2. Let s be k(d). Let n(y) = y + 12. Give n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1654*q*y**5 - 4*q + 11*y**2 + 3 wrt y?\nAnswer: 99240*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*5*(1*sqrt(896))\/(sqrt(50) + (sqrt(50) - (-1*sqrt(50) + sqrt(50))) + sqrt(2)).\nAnswer: 800*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 + 166. Find the third derivative of 2*t**2 + 39*t**2 + 8*t**2 - n*t**3 wrt t.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 24. Let o(v) = -v + 12. Let b be o(0). Suppose -5*t + 10 = -5*q, -4*q + b = -q + 3*t. Solve 0 = 5*z - d + q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1948208*r**3 - 4315251*r.\nAnswer: -11689248*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833356 divided by -3876?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/133 and -28\/107141.\nAnswer: 749987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14670132557 and 42.\nAnswer: -14670132515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4514 + 4514.196. Is -2\/5 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81, 1082, 2081, 3078, 4073, 5066?\n\"Answer: -l**2 + 1004*l - 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1386\/6732*(-4)\/14\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 - 2 = 0. Let d be 17\/(-51)*(-54)\/u. Solve -3*p + 0 + d = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-219)\/(386316\/(-392)))\/(2*3\/(108\/142))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4*p**3 + 3 + p**3 as z*p**2 + n + h*p + j*p**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + -2)**2 + -5 + -2.\nAnswer: -2*sqrt(19) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, e: 2, x: 4, g: 2}. What is prob of sequence gxx?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2034 divided by 18.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 10}. Give prob of sequence doo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6 - 4. Suppose m*f + 3 = 9. What is the greatest common factor of f and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -2 + 2. Solve v = q - 4, 2*q + 6 = -2*x + 6*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:54 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182375 by 3.\nAnswer: -182375\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9010398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 248283908 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166288 and 3829.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -310 - -4957\/16. Let h = y - -47\/80. What is the smallest value in h, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + -4 + -2 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 = 14. Let b(k) = -4*k**2 - 5*k + 3. Let x(l) = -3*l**2 - 6*l + 3. Let y(j) = f*x(j) - 3*b(j). Factor y(a).\nAnswer: 3*(a + 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - g = 2, -w + 4*w - 3*g = 6. Solve r + 6 = -j, -3*r + w*r = j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163594728 a multiple of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 15*n**2 - 38*n - 20. Let m be u(-12). What is the hundreds digit of ((-3)\/21 - 5496\/(-56))*m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from wswwswwwswwwwwwswws.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbkb when four letters picked without replacement from {b: 15, k: 3, a: 2}?\nAnswer: 91\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 92 = 3*p - p + 6*p, -2*p + 68 = 5*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - l**2 + l + 13. Suppose -2*c = -0*c. What are the prime factors of q(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(630)*3 + sqrt(630))*-4 - -5*(sqrt(630) + sqrt(630)*1 + sqrt(630)))\/(sqrt(1440)*-3*5*2).\nAnswer: sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -p + 9. Suppose 0 = p*q - 10 - 25. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2. Suppose 0 = 5*n - 0*n, n + 8 = 2*h. Let q(c) = -7*c + 1. Let t(o) = 28*o - 4. Let r(f) = h*t(f) + 18*q(f). What is r(w(k))?\nAnswer: 14*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*s = 127*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 w when three letters picked without replacement from vtgvw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (770 - 766)\/((-2)\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w**3 + w**2 + 3*w + 3. Let y be x(-1). Let g(t) = -3*t - 21. Let h(d) = 4*d + 20. Let o(l) = -6*g(l) - 5*h(l). Is 14 a factor of o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/11742 and 68\/171.\nAnswer: 35226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/2 - (-2)\/4. Let p be g\/(-9) + 2\/2. Let h = 76 - 76. Which is bigger: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Suppose -3*z + 20 = -2*z + 5*b, -3*z + 24 = g*b. Suppose -z*f**5 + f**5 + 2*f**5 + 3*f**5 = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*d - 41 = -0*d, 3*t = -4*d + 4. Calculate the remainder when 26 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4586935, 4586943, 4586951, 4586959, 4586967?\nAnswer: 4586975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 10*o + 1. Let r be b(-10). Suppose u = 3*m - 6, 4*u = 3*m - 7 + r. What is the third derivative of -3*w**2 - 3 + m*w**3 - 1 + 4 wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1114919180 by -5.\nAnswer: -222983836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/418408311 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 - 1. Let w be j(1). Let z = w + 6. Which is smaller: -12\/11 or z?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 56484962?\nAnswer: 4518796.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1815?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -2)*1\/1. Is ((-50)\/(-3))\/(-5)*z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 14*p**3\/3 - 68*p**2 - 2*p - 5. Let j be r(5). Solve j = -3*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/921 - 1517\/274458. Let g be (-13202)\/(-61984) - 2\/13. Let d = v - g. Calculate the common denominator of -83\/2 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -49, 5677 in ascending order.\nAnswer: -49, -1, 5677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 3*b)*(-191*b**3 - 80*b**3 - 30*b**3).\nAnswer: -602*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2. Let x(t) = t**2 - 11260*t - 15. Determine x(j(c)).\nAnswer: 4*c**4 - 22520*c**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/30559 greater than or equal to -0.396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 453, 901, 1347, 1791?\n\"Answer: -v**2 + 451*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2056\/24)\/(2\/(-12)*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 973 divide 22008081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(4\/11)))**50*(b*(b\/(b*b**(4\/17)))\/b)\/(b**(-13)\/b))**(-20) assuming b is positive.\nAnswer: b**(16520\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459331711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985409430?\nAnswer: 2, 3, 5, 32846981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**2 + 6 - 35 + 6 + 2 to d + j*x**2 + r*x and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -71*z - 5. Let l be w(-3). Let y = 297 - l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + -2 - (-4 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -5*u**2\/2 - 5*u - 40. Suppose -48*a + 44*a = -8. Let y(f) = -a*f + 6*f + 2*f - 4 - 10*f. Determine 3*y(q) - 2*z(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + -0.5. Let t = v + 0.4. Let b = t + -0.5. What is the closest to b in 3\/2, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:40 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -115007830960196 minus 5?\nAnswer: -115007830960201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -210.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464 divided by 210?\nAnswer: 1732\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3960 = k. Let h be 2\/1*k\/(-8). Suppose l - h = -2*l. What is the highest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 3*n**2 + 3*n - 29. What is c(6)?\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2304342141210 + 10?\nAnswer: -2304342141200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*h + 2)*((-2*h + h - 2*h)*(h**3 - 4*h**3 + h**3) + 12*h + 2*h**4 - 12*h).\nAnswer: -16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -15. What is the remainder when 33 - (-2 - 0)*-1 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 + 44*l. Let s(k) be the second derivative of k**3\/6 - k - 1. Calculate j(s(m)).\nAnswer: 8*m**2 + 44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1684 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1679 and 46?\nAnswer: 3358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 25*z - 1. Is 11 a factor of p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141 - 1?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26740*g - 2*g**2 + 204 + 26740*g)*(-3 + 4 - 2).\nAnswer: 2*g**2 - 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 115, 96?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 1\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/((-18)\/4*(-25)\/(-75)). Suppose b*a = -4*a + 3*a. Solve -n = -0*n - 3*q, -5*q = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*w - 60, -w = 5*y + 4*w - 75. Suppose -t + 4*t = 2*d - 1, t - y = -3*d. Let g be 5*3*1\/t. Solve g*l + 3 - 2 = 2*x, 0 = -2*x - 4*l - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose s - 9 = -m*s. Suppose -13*j**2 + 3*j**4 - 13*j**4 + 16*j**s - 2*j**4 + 9*j**2 = 0. Calculate j.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7467313 to the nearest integer?\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 218*n**3 + 2*n + 3. Let v be g(4). Let a be -40964 + -1 + (-2 - -4). Let m = a + v. Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.7 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031166941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2 - 2618356*y + 1309180.\nAnswer: -4*(y + 327295)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c + -7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -20, 9*u + 3*c + 14 + 3 = -40 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 41\/2, -1\/2, 0.01, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 342001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8 + (-4)\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/14 + (-2 - (1 - 4)). Sort -5\/6, c, 3\/7, -4 in descending order.\nAnswer: 3\/7, c, -5\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*2)*-4*-3)\/(sqrt(10)*-2*-2 + (sqrt(70) - -1*sqrt(70))\/sqrt(7)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a**2 - 9*a - 9. Let n(b) be the first derivative of 7*b**3\/3 - 2*b**2 - 4*b + 2. Let z(f) = 4*l(f) - 9*n(f). Let w(y) = 5*y. Give z(w(k)).\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012210 (base 3) to base 4.\nAnswer: 121032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9310\/836*165\/150?\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (126\/(-4))\/((-17)\/(-68)). Let d = 146 + g. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.088*-121.\nAnswer: -10.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p - 56. Let g = 3037 + -3027. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 6\/11 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - w + 2. Let u = -76 - -109. What is the remainder when u is divided by z(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/32 and 155\/446964.\nAnswer: 3575712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1757 is divided by 252.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24930, 49842, 74768, 99714, 124686?\n\"Answer: b**3 + b**2 + 24902*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/448310 and 29\/20.\nAnswer: 896620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1527\/12)*-1. Suppose -3*m = -3*z + 372, 0 = -2*z + 4*m - 0*m + 240. Let w = z - y. Which is the nearest to -1\/2? (a) 2\/5 (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**6\/600 + 17*l**5\/60 - 241*l**4\/60 + 316*l**3\/15 + 2*l**2 - 28*l + 20. Factor k(q).\nAnswer: -(q - 79)*(q - 4)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**4\/24 - g**3\/6 - 56*g**2 - g. Let b(v) = v**2 + 5*v + 3. Let m be b(-3). Determine j(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/280 + s**6\/120 - s**5\/40 - s**4\/8 + 2*s**3\/3 - s**2. Let f(x) be the first derivative of o(x). Factor f(l).\nAnswer: 3*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*o - 237996 = 147*o. What is o rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205254 and 58644?\nAnswer: 410508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.1. Let f = 3.9 + -3.7. Is d greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (35 + -43 - 30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 38 = 0. Calculate the remainder when v is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 565306 + -2?\nAnswer: 565304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, -2, -332, 2 in decreasing order.\nAnswer: 2, -2, -150, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38892 is divided by 12959.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -535*(26\/(-10) + 3). Let c = d + 301. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - 0.3. Let u(t) = -t. Let f be u(-2). Suppose -2*n - f*n = -4. Which is the closest to n? (a) -5 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139487729 - 226808\nAnswer: -139714537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 3\/7 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144138 - 144187.9464. Let i = -0.0536 + k. Put 4, i, -0.5 in increasing order.\nAnswer: i, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 (base 9) in base 5?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 13*j**2 + 8*j + 68. What is the smallest common multiple of 40 and k(12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -8, 4, 32, 82?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 8*m - 2. Let g be r(6). Factor 9*u**3 + 11*u**3 + 10*u**4 + 3 + 7*u**2 - 1 + 13*u**2 + g*u + 2*u**5.\nAnswer: 2*(u + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2398 - -0.303255. What is i rounded to 3 decimal places?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 5. Let v be u\/(-2) - (-63)\/18. Factor 3*r**3 - 4*r - 3*r**5 - 2*r**v + 4*r**2 + 0*r + 2*r**5 + 0*r**5.\nAnswer: -r*(r - 1)**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwm when three letters picked without replacement from {m: 2, w: 1, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2378)\/174 - (-374)\/(-51).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 33*d**2 + 50*d**2 - 3*d.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = 2*n + 14, -5*n + 2*b - 19 = 0. What is the nearest to -0.03 in -2, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/11)\/(((-8240)\/412)\/(22*-1))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 16) in base 3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02138 - 0.72138. Put -20, s, 0.4 in descending order.\nAnswer: 0.4, s, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5923*w + 31525 = 8348*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(288) + -4)**2 + -3 + sqrt(288) + -3 + -2 + -3.\nAnswer: -468*sqrt(2) + 7205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304706.\nAnswer: 2, 131, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aabxlac. What is prob of picking 1 l, 1 c, 1 a, and 1 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-60)*(-10)\/(-6). Which is greater: x or 1\/1259?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 6*n - 3*n**3 + 35 - 19*n**2 - 6*n - 34 + n**3 to the form o*n**2 + y + p*n + c*n**3 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1440676655 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 64 = -19*u. Solve -10*h - 6 = -u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -2. Suppose w - 5*g - 25 = 0, -183 = -5*w + g - 5*g. What is the remainder when w is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 279, 888, 2053, 3960, 6795?\nAnswer: 10744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-20))\/(2\/5). Let k be ((-4)\/o)\/(32\/1360). What is k rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1487342\/1876461 + 2\/423717. Let f = 2\/31 - d. Solve 6\/7*x**5 + 0*x + 0 - f*x**3 + 2\/7*x**2 - 2\/7*x**4 = 0 for x.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15332691 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {i: 3, l: 7, h: 3, m: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/8008 and 34\/9009.\nAnswer: 72072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58266, -58279, -58292?\n\"Answer: -13*h - 58253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a4 + 1e?\nAnswer: -885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52326*l**3*w**2 - 2*l**2*w + 23*l*w + 251*w**2 wrt l.\nAnswer: 313956*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:13 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -658 + 3*g - 654 + g**2 - 650 - 2*g**2 + 1949. What is x(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.473 + 0.027. Let y = u - 19.583. What is y rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 16*g**2 - 16*g - 18. Suppose 56 = 4*s + 4*t, 2*t + 2*t = -s + 5. Let o be i(s). Does 5\/18 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 20*d - 80. Let c be q(-15). Let h(p) = -35*p - 96. List the prime factors of h(c).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00382934 to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21043 (base 5) to base 15\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2 - 9 + 14 - 3. Let m(f) = -f**2 + 11. Let r(h) = -11*g(h) + 4*m(h). Let y(q) be the second derivative of q**3\/3 + q. Determine y(r(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-48)*-24)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 8, i: 5}. What is prob of picking 2 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 57. Calculate the remainder when 45 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4132501117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d + 13 = 49*d + 5*i, -4*d = -4*i + 20 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/4 - 8957*x**2\/4 + 342233*x\/4 + 3804885\/4 = 0.\nAnswer: -8995, -9, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 25, 50, 65, 58, 17, -70?\n\"Answer: -2*n**3 + 13*n**2 - 2*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3845 - 1130. List the prime factors of z.\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**3 - w**2)*(1 - 3 + 4) - 2*w**3 + 3*w**3 - 2*w**3 - 5776*w**3 + 1571*w**3 - 1013*w**3.\nAnswer: -5221*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 8, -4.\nAnswer: -4, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2490 - 2472. What is the remainder when 85 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 2*q**2 + 3*q - 2. Let m be d(4). Suppose j + m = 2*u - 7*u, j + 135 = -4*u. Which is smaller: -34 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2, 2, -1.\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 178. Suppose -28 - q = -7*j. Let b be (4\/14)\/(2\/j). Solve 3*o = 5*y + 2, 6*o = 5*y + b*o + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Suppose -5*s = -5*d - 50, 2*d = a*s - 7 - 11. Is 1 + (2 - 0 - d) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3\/6 + f**2\/2 + 5*f. Find the first derivative of u(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2007 = 2*s, s + 3*j - 4007 = -3*s. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k**3 + 33*k**3 - 17*k**3)*(2 - 1 - 3 - 3 + 4 + 0 + (-1 - 2 + 2)*(0 + 2 + 4) + 2 - 1 - 2).\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86852145 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/1983 - 4088\/120963. Is 0 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**2 - 9. Let s(y) = -2*y. Let j(r) = -18*r. Let v(q) = j(q) - 8*s(q). Calculate t(v(h)).\nAnswer: 44*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*l - 57*l = 120*l + 2553 + 9642 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7304 + 10033. Suppose 3*m = -2*z + 17337, 0*m - 3*m + a = 5*z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -325 - 403. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 40*i**3 + 0*i**2 + 4*i + i**2 - 2*i**2 + 1. What is the units digit of f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/220 + 353\/55)\/((-63)\/315)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5281 is divided by 1317?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -229603933\nAnswer: 5\/229603933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 13) to base 6\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661260.\nAnswer: 2, 3, 5, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*l = -4*n - 123, 4*n + l = 174. Let x = n - -92. Calculate the remainder when x is divided by (-4)\/(-10) + (-336)\/(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4)**(-19))**(-17) assuming o is positive.\nAnswer: o**1292","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2 + sqrt(833)) + sqrt(833) - (1*sqrt(833) + 0))**2 + (5*-4*sqrt(136))\/sqrt(8) + 1)*-3.\nAnswer: -10047 + 396*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133373569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 865 and 6387333.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 1, 2, 1\/4, -10, 59, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*y + 10 wrt y?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 183241 + -513?\nAnswer: 182627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.7 - -1.7. Suppose -5*a - 3 = -0*c - 4*c, 5 = 3*c - a. Suppose -l + 3 = -2*d, 0 = c*l + d + 2 - 3. What is the second biggest value in l, v, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4748, -4507, -3836, -2519, -340, 2917?\n\"Answer: 36*h**3 - h**2 - 8*h - 4775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 121, 2\/11, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(-35))\/(2\/13 + 1204\/(-728)). Factor 4*c**3 + 24*c - 74\/5*c**2 - 72\/5 - u*c**4.\nAnswer: -2*(c - 3)**2*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1902ea - -3?\nAnswer: 1902ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 649516 * 0.19\nAnswer: 123408.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1933623690 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10106055 and 40424220.\nAnswer: 40424220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/13 - (-2)\/13. Let a be (p - 0)*(0 + -5). Let w(i) = i**2 - 6*i - 1. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-1 - -3) + 4 + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914429 is divided by 914372.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taiqqsid. What is prob of picking 1 i, 1 d, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f - 7*t = -31*f + 3*t, -3*t - 6 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 860 divided by 5\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1372 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3528.1 + -3528. Let z = 29\/260 - 4\/65. Sort p, -0.5, z, 1 in ascending order.\nAnswer: -0.5, z, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1023*c**3 + c**2 + 9*c - 8. Let g be f(3). Let k = -12407 + g. What is k rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 160466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -184, -173, -154, -127?\n\"Answer: 4*o**2 - o - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9 + -4.7. Which is smaller: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3) - (-16)\/(-12))*125. Let c = 126 + o. Let x(j) = j**2 + 7. Let y be x(0). Calculate the greatest common divisor of c and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 232 = -f. Solve f*a + 38 = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) -48 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 - 4*b\/3 - 352.\nAnswer: 2*(b - 24)*(b + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-12)\/180*(-425)\/(-10)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 68?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2899954 and -4.2.\nAnswer: 2899949.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - -1. Let a be (0*2\/(-2))\/2. Suppose -4*k - 5 + 17 = a. Calculate the highest common divisor of k and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-68)*(-5)\/30*8. Suppose 15 = 5*q + 5*r, 3*q + r = -0*q + 1. Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 23 = 5*k - 1, 16 = k + 2*a. Let q(i) = 6 + 3 - k. Let b(h) = h - 11. What is -b(x) - 6*q(x)?\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33550871 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3202137198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -836 + 841. Let j(t) = t**3 - t**2 - 23*t + 35. Calculate the remainder when 497 is divided by j(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*h + 74*h - 4896 = -294*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49268.\nAnswer: 2, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 + 110*m**3 + 485*m**2 - 1320*m + 720 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*c - 9*c - 32, 0 = 3*r - 2*c - 24. Solve -13*i + r = -11*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.1109283 rounded to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 6*t - 121000. Let a(r) = -r**3 - 21*r**2 - 19*r + 20. Let d be a(-20). Let p be z(d). Round p to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooi when three letters picked without replacement from iiiiirikdidikrryoro.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 14\/3. Which is bigger: s or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 104*o**2 - 39709*o - 7254. Determine z(382).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*16\/(448\/(-14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 19741181 to the nearest 100000.\nAnswer: 19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -88 - e?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, -5, -35, -83?\n\"Answer: -9*z**2 + 15*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-4 - -6)\/(20\/16200)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*d + 110*d - 45540. Suppose -d - 6014 = -2*l + 4*a, -2 = 2*a. Round l to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-seven quarters of a kilometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -429 - -1209\/2. Let x = -175 + q. Sort x, 5\/3, 5\/2, 0.2.\nAnswer: 0.2, x, 5\/3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -716, 3, 4, 8, 2 in ascending order.\nAnswer: -716, -4, 2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -320 + 178. Let z = h - -287\/2. Let t = -0.9 + 1. Which is the closest to t? (a) z (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 2*m - m + 3*m - 8*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 21 + 269*v**3 - 271*v**3)*(2*v - 6*v + 2*v).\nAnswer: 4*v**4 - 84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/9)\/o**14*o\/((o\/(o\/((o\/(o*o**(-6)))\/o)))\/o)*o*o\/(((o**(-17)\/o)\/o*o*o*o*o*o)\/o) assuming o is positive.\nAnswer: o**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 892 or 641394\/719?\nAnswer: 892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = g + 3*n, 12*g - 54 = 7*g - 4*n. Calculate the remainder when 767 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4) + 5 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 3*c**2 - 2*c - 4. Let x be r(-3). Is x > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 10, j: 6}. What is prob of sequence jl?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.316 - -0.084. Which is the second smallest value? (a) -1\/4 (b) -1\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 117\/11 (c) -2\/7 (d) -1\/6 (e) -1 (f) -9 (g) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 0, 0 = 4*d + 4*i + i - 28. Calculate the greatest common divisor of d and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 24 = -b, -2*c = -5*b + 44 + 28. Let u = 22 - b. Is -166*(1 + u\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/5)*u\/(u**17*u) assuming u is positive.\nAnswer: u**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2870 and 8610?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50518434 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(5\/(-1085) - (1 - 1)).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.89231 - 1.9273058. Let h = n + 0.035. What is h rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97389, -97387, -97385, -97383, -97381?\nAnswer: -97379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-6)*(6 - 3). Let u(y) = -y - 34. Let d be u(-30). Let v be (-4)\/18*-3*18\/d. Sort -1, 4, v, t in increasing order.\nAnswer: v, -1, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 2*o**2 - 3. Let u(p) = -2*p**3 + 4*p**2 - p + 5. Let q(m) = 5*a(m) + 3*u(m). Let k(h) = h**3 - 5*h**2 + 7*h. Give -2*k(t) - 5*q(t).\nAnswer: 3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -13 - -21 - (45 + 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8405 and 3375448.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 greater than 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11 + 2 + (-3 - -3). Suppose 2*q = -0*q + 5*r - a, 2*r = -5*q + 40. Let u = q + 2. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**3))**(3\/5))**(6\/17)*((b**(-1\/4))**(4\/21))**(1\/73) assuming b is positive.\nAnswer: b**(82697\/130305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 45 = -9*l. Let x(h) = 2*h**2 + 18*h + 6. Let k be x(l). Suppose 3*q + k*r - 8*r - 320 = 0, -2*r = -2*q + 212. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 5. Calculate u(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 2124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**0\/f))**(-4\/11)*(f**(-2\/3)*f)**(4\/3))\/(((f\/((f\/f**(-1\/6))\/f))\/(f**(-5)*f*f))\/(f*f**(-1)*f*f)**(7\/6)) assuming f is positive.\nAnswer: f**(-353\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -16*t**2. Let c(i) = -28*i. What is c(b(d))?\nAnswer: 448*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 18828 - 44108 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*a**3 + 2 + 2 - 17*a**3.\nAnswer: -51*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 350, 342, 318, 272?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.35 + -0.35. Sort -4, -2, c in decreasing order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 + 3 = 0. Let z be (0 + 2)\/n + 3. Suppose z*f = 3*f - 5. Solve -3*h + f = k + 12, -2*k - 10 = 2*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 1 - 4. Suppose 5*x = 4*x + 6. Let h be i\/9 - 8\/x. Is -1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3828)\/(-4872)*10\/44?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h + 1\/3*h**3 + 1\/4*h**4 - 1\/2*h**2 + 2. Factor l(o).\nAnswer: (o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3400.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242.09 - -241.983652. Round u to 3 decimal places.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169369411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*r**3 + 37*r**3 + 79 - 53 + 88*r**3 + (4 - r - 4)*(2 - 2 + 2*r**2) to the form d*r**2 + c*r + n*r**3 + u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**2 + 115*z - 79*z - 2 + 0*z**2)*(3*z + 0*z - z) to c*z**2 + y*z + l + d*z**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71406 - a5?\nAnswer: -714ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -141144 (base 5) to base 2\nAnswer: -1011010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.13 + -21.13. Which is the closest to -3? (a) 4 (b) y (c) 0.2 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 2\/17, 2, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:17 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y - 4. Let s = -2 + y. What is the closest to -1\/4 in -1, s, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/9*1\/(-2). Let h be 8\/2 - f\/(-1). Suppose -h*b = -m - 7, 2*m + m - 3 = -3*b. Solve 0 = -2*p + 4 - b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 52, 1, 100, 2 in decreasing order.\nAnswer: 100, 52, 10, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 1. Let a be v(-9). Suppose 0 = 4*x - 2*i + a, 2*x + 1 = 2*i - 7. Let h(q) = q**2 + 55. Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 6*d)*(2 - 33 - 62) + (-2 + 2 + 2*d)*(-4 + 0 + 2) + (-4 + 0 + 3)*(-4 + 2*d + 4).\nAnswer: 366*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.43 - 0.11. Let z = 0.04 + j. What is the closest to -2\/5 in 5, 2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/11)\/h**(2\/17))\/(h*h**(1\/7)*h**(2\/11))*(h**0)**(-11\/3)\/(h\/((h\/(h\/(h\/h**5)))\/h)*h**(5\/3)) assuming h is positive.\nAnswer: h**(-3187\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3880893878 to the nearest integer?\nAnswer: 62297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**3 + 28*m**2 + 115*m + 144. Let r(i) = 12*i**3 - 57*i**2 - 231*i - 288. Let z(h) = -9*j(h) - 5*r(h). Let z(b) = 0. Calculate b.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962264824 a multiple of 2191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 8*p - 14. Let k be b(-4). Suppose k*n + 3*n = 2440. List the prime factors of n.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -11. Suppose 4*x + 10 = 5*j, -a*x - 3*j + 0 = -6. Suppose 0 = -3*i - y + 2, -i + 5*i + 3*y + 4 = x. Which is smaller: 13\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*(-2 - 0). Let y = i + -1. What is the nearest to -2 in 0.1, y, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - 42*s**2 + 8*s + 107. Calculate z(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o*w**3 + 53*o + 130*w**3 - 2*w**2 - 1 wrt w.\nAnswer: -3*o*w**2 + 390*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3126*x**4 - 105*x**3 + 43*x**2 + 2748*x - 1968 wrt x.\nAnswer: 37512*x**2 - 630*x + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -90. Let y be (401 + t)*-1*1000. What is y rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 3*k**2 - 5*k - 1. Let l be s(4). Let w be (4\/l)\/(2\/(-10)). Suppose -w + 0 = -2*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14594 - -27109. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50784.67 litres to millilitres.\nAnswer: 50784670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*sqrt(66)*1)\/(sqrt(6) + sqrt(42)\/sqrt(28)).\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-3*j + 3*j - j**4) - 16547 + 16547 - 3*j**4 + 43*j.\nAnswer: -4*j**4 + 43*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 846638?\nAnswer: -846653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6643999 = -5*b, 10*b - 15*b + 6643986 = -14*r. What is b rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(2 + -3) - -4. Suppose p*l + 484 = 11*l. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 979, 1967, 2959, 3949, 4931, 5899, 6847, 7769?\nAnswer: 8659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d)\/(d\/d**(-1\/12))*(d**(-1))**(-37))**11 assuming d is positive.\nAnswer: d**(4345\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -730, 1\/2, -1.7 in decreasing order.\nAnswer: 1\/2, -1.7, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4683.03731 + -4683. What is n rounded to 3 decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608*z**2 - 1812*z**2 + 599*z**2 + 600*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103221487.\nAnswer: 269, 383723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1, 11\/3, 0.6, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*t = 2*t - 96 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 20*x + 3. Let d = 25 - 14. What is the tens digit of c(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 15 = -4*n. Let o = 10 + -5. Suppose 4*j - 10 = -2. Which is the biggest value? (a) n (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39175472?\nAnswer: 2, 7, 109, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 104. Suppose -c + 1 = 2*o - 8, -5*o + 30 = 5*c. Sort 7, i, 0, o.\nAnswer: i, 0, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yovy when four letters picked without replacement from {y: 2, o: 5, v: 2}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 4*w**2 - 2*w + 4. Let t be j(4). What is the closest to -1 in 0, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.376 - -931128\nAnswer: 931125.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8))**33 assuming d is positive.\nAnswer: d**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 434\/28 - 42\/(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8*109.57.\nAnswer: -416.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157 + 67. Let a = 126 + f. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, f: 9, v: 3, a: 1}. What is prob of sequence fav?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)\/a)**(-14)\/(a**0)**(-34) assuming a is positive.\nAnswer: a**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -5*i - 65, 2*t - 3*i - 67 = 0. Let h = t - 40. Let l = -0.3 + 0.4. Which is the second biggest value? (a) h (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 12:02 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 4*b + 10 - 2*b**3 + 2*b + 3*b to o*b**3 + q*b**2 + p*b + j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 + 2*m**2)*(2 - 4 - 3).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 6 + 5*o - 2*o - 4*o. Let d be x(4). Let q = d + 23. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 235\/162 - -4\/81. Which is the nearest to -6? (a) -0.1 (b) 2\/5 (c) h (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 + 68156800*d\/3 + 290334336640000\/3.\nAnswer: 4*(d + 8519600)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-25))\/((-35)\/((-6720)\/(-256))*27\/660)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -516523 + -12022?\nAnswer: -531545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 34*r**2 - 12*r - 23. Let u(t) = -6*t**3 + 101*t**2 + 37*t + 68. Let z(c) = -8*b(c) - 3*u(c). Determine z(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 472.1 and -4356510?\nAnswer: 4356982.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 8236840588 and -45.\nAnswer: 8236840543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 1, 3, 2, 0, -1, 115 in ascending order.\nAnswer: -1, 0, 1, 2, 3, 67, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 427 + 48 = 0. Let z = -320 - -278. Let v = z - y. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206395 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 377 = -2*q, 5*q - 1488 + 538 = -5*u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254 + 197. Let l = j + 56.99999697. What is l rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8186947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4596*n**4*r - 385*n**4 + 6*n**3 + 1180*n**2 - 411*n - r - 17 wrt n?\nAnswer: -110304*n*r - 9240*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.00525 + 22.97525. Let i = w + -24.3. What is i rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 740 - 745 + 0*z. Let h be g(-6). Suppose -104 = -h*f - f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(0*w + w - 3*w) - 15 + 15 + 73*w + (-2 + 0 + 1)*(-w - 2 + 2).\nAnswer: 76*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/(-18*(-13)\/38961)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134928.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 28 = -28. Let j = s + -37. Let h be (-8 - 2) + 1 + 0. Is h != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -10) + 0 - (191 + -93)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + 560\/(-15). Let l = -36 - b. List the prime factors of 18 - (2 - (l + 2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -19. Let h = d - -29. Let l = h - 54. Sort -3, l, 7 in descending order.\nAnswer: 7, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -128*q - 3. Is 12 a factor of m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90600*h**2 - 197*h**3 + 45277*h**2 + 45297*h**2)*(h**2 + 2*h**2 - h**2).\nAnswer: -394*h**5 - 52*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3935 + -3277. What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -6556.\nAnswer: -32780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-1))\/(-3))\/((-20)\/72*(-104)\/520)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202 (base 7) in base 12?\nAnswer: a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*n + 2*n. Let i = -1 + 1. What is the nearest to n in 2, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*n - 1 - 3, -2*n = 3*x - 2. Suppose n = -2*z + z. Let g be 5\/18 - z\/(-2). Sort -0.4, g, -2 in ascending order.\nAnswer: -2, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 28*q**2 + 26*q - 25. What is v(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 76 = -4*p + 87, 122 = 3*p - 4*b. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.9 times -54\nAnswer: 1344.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 - 11*g**4 - 5*g**4 + 10 + 3*g**4 with respect to g.\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - f)*(-29*f + 13*f - 41*f)*(-2*f - 6*f - 2*f + (-1 + 1 - 2)*(2*f + 2*f - 3*f) - f - f + f + 3*f - 4*f - 2*f).\nAnswer: -912*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/28 and -83\/496?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -32 - (882 + -909).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5146 is divided by 214.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, o: 8}. What is prob of sequence cc?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/37)*h)\/h*h**(4\/9)\/h*h*h\/(((h\/((h*h**17)\/h))\/h)\/h)*h*(h\/h**(-14\/3))\/h assuming h is positive.\nAnswer: h**(8344\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 80 = 0, 6*o - 3*o + 0 + 33 = -3*n for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7788851, -15577698, -23366545?\nAnswer: -31155392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/(-4) - (-2)\/(-8). Let c = a - -12. Solve -c*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -165?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2231.396 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2, 0.0136, -0.05, 17, 0.05, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -168, 1, 3, -1, -2, -26 in descending order.\nAnswer: 3, 1, -1, -2, -4, -26, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1645076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -20 - 26 + 10*n + 2*n**2 + 29*n - 11. Calculate the lowest common multiple of 3 and h(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/188 and 1\/4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521980 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(2 + -1) + 8. Suppose 3*f + 46 = 5*f + 4*o, g*o = f - 2. Let u(j) = -j**3 + 33*j**2 - 30*j - 54. What is the remainder when f is divided by u(32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) - (-52)\/44?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.43 - -0.2. Let p = i - 0.83. Which is the biggest value? (a) p (b) -1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-7))\/(846\/3948)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -3 + 5 + -2 + 5 - -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 136a84 (base 11) to base 16\nAnswer: 344f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -157.\nAnswer: -157.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*j - 9, 0 = o + o - 3*j - 7. Let x = 5147 - 5147. Solve x = -6*i - 38 + o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*l + 496, -698 + 108 = -5*o - 5*l. List the prime factors of o.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**2 + 5*k + 37. What is h(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/2 - 359*m**3 + 68143*m**2\/2 - 87304*m - 33995808 = 0.\nAnswer: -803, -27, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from {i: 9, a: 5}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9445269.\nAnswer: 3, 853, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o - 2*o - o**3 - 5 + 2*o**2 - 2*o + 7. Determine a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 6}. Give prob of picking 2 a and 1 n.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5476 + 5472. Let x = -0.2 + 0.6. What is the nearest to 11 in 0.2, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4165, -8508, -12851?\nAnswer: -17194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.8 - -19.5. Let v = l + -8.7. Which is the fourth biggest value? (a) -18 (b) -1 (c) -0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {g: 1, j: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/10)\/(8\/(-20)). Suppose 0 = -0*o + c*o. Solve -3*n + 0*n + 3 = o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naa when three letters picked without replacement from yyyyannyynay.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 0.2. Let z = -1.4 - n. Let s = -61\/190 + -3\/38. Which is the nearest to -0.2? (a) -1 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(9*1\/18). Let v be (-9)\/(-2)*4*r\/18. Solve -2*w = -5*l + 21, -3 = -v*l - 4*w - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from pphhfffzuzpuf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 3*x**2 + 2*x + 8. Let t be y(4). Is t less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*y - 5*y + 4*f, 2*y = 4*f + 14. Solve 5*o + 18 = t - 2, 0 = 4*o - 3*t + y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 202.556996 to 0 dps.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -172.3 and -0.0094.\nAnswer: -172.3094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(637)*-3 + 2).\nAnswer: 126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 506 + -501. Put -0.068, -3\/5, a in decreasing order.\nAnswer: a, -0.068, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 5*c**2 - 1. Let x(v) = -v**2 + 11*v + 2. Let h be x(11). Let u be 1*(-5)\/h*-2. Let s be d(u). Let y(l) = 6*l - 1. Give y(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 6*f = 4190. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1120100 - 11?\nAnswer: 1120034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 147, 336, 669, 1194, 1959?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 27*t**5\/4 + t**4\/4 - 61*t**3\/6 - 3*t**2\/2 - 2*t + 724. What is the second derivative of q(n) wrt n?\nAnswer: 810*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*-6 + sqrt(85) + sqrt(85) + sqrt(85))\/(sqrt(5) + 5*2*sqrt(5) + sqrt(5)) + (-5*sqrt(187)*-1 + sqrt(187))\/(-2*sqrt(891)).\nAnswer: -7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + q + 5, 0 = -3*a + 5*q + 18. Suppose 4*i - 10 = 3*l - 2, 22 = 2*i + 3*l. What is the smallest common multiple of i and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*o - 5, z - 5 = -2*o + 3*o. Let l(n) = -2*n - 1. Let w(y) = 6*y + 2. What is z*w(r) + 8*l(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*y - 2*f = 118*y - 6, 3*y + 6*f - 15 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87.73 - -690.\nAnswer: 602.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1971.484 microseconds to milliseconds.\nAnswer: 1.971484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43433, 43337, 43185, 42977, 42713, 42393?\n\"Answer: -28*k**2 - 12*k + 43473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*(26\/728)\/(1\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 189*l - 1427. Let o be a(-7). Let t = 8 + -13. Put 5, -4, o, t in decreasing order.\nAnswer: 5, -4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-12))\/((-149)\/150 + 1). What is the smallest common multiple of 7 and (4\/22 - s\/11) + -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -94653*b - 183. Let i be m(-11). What is i rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 922 + 113. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*u - 4)*(-2 + 28*u**2 - 15*u**2 - 4).\nAnswer: 39*u**3 - 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/3*1692\/470. Suppose -752 = -5*u + i, -5*i = -5*u + 3*u + 310. Let x = u - m. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q + 4. Let l = q - -13. Suppose 5*s + n = 185, 2*s - 5*n - 6 - 41 = 0. What is the highest common factor of l and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4*o = -6, -3*o + 3119 = -5*f + 3104 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 3:35 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 565220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34218 (base 12) to base 10\nAnswer: 69428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 148.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**5\/60 - 5*w**4\/12 - 3*w**3 + 9. Let z(g) be the third derivative of x(g). Find the first derivative of z(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.016 + -1.884. Let a = -4.18 - i. Round a to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -75*d + 80. Suppose 5*z - 33 + 62 = -3*f, 2*f = 2*z + 18. What are the prime factors of w(z)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 16*b - 8. Let x be y(8). Suppose 2*k = -3*k + x. What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2979.7 - -2980. Which is the fourth smallest value? (a) u (b) -5 (c) -2\/33 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 - f**3 + 0*f**2 + 21*f**2 - 21*f**2 + 3*f**3 + (-2*f**2 - f + f)*(3*f + 4 - 4) in the form c + a*f + s*f**2 + y*f**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 11*i + 3. Let b be m(11). Let g = 7 - b. Suppose -g*j = -p - 1 - 57, -2*j - 3*p = -36. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 1, q: 5, z: 2}. Give prob of sequence tuz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51246987 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -279*c**5 + 130*c**4 - 4*c**3 - 4*c - 2752420 wrt c.\nAnswer: -5580*c**3 + 1560*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38139738.\nAnswer: 2, 3, 7, 13, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28825, 28 in decreasing order.\nAnswer: 28825, 28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4180 + 4183. Solve a*n = 23*h - 28*h + 30, -2*h + 4*n = 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knkgkpkcynyypkygkkyg. What is prob of sequence yn?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 0.2, 24\/5, -2, -210, -1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34876 at least 34880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2140, -2831, -2708, -1363, 1612, 6625, 14084?\nAnswer: 24397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*l - 2*m, -3*m + 7*m = -3*l + 87. Suppose -4*p = -5*a - 157 + 25, -p - 5*a + l = 0. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 23. Calculate a(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 2937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4267 divided by 15\nAnswer: 4267\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7756143.4 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g = 27*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -36\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 x when four letters picked without replacement from {x: 7, r: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * -0.1\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9036 by -25910.\nAnswer: -4518\/12955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -33055140 divided by -102\nAnswer: 324070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.81, 2, 1\/46?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 5 (b) -1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-982652)\/(-18) - 59\/((-13806)\/52). What is the highest common divisor of 64 and b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0381 - -0.2619. Which is the nearest to 0.3? (a) -9 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, l: 7}. What is prob of picking 3 s and 1 l?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14413696.\nAnswer: 2, 11, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -7. Let p = j - -122. Calculate the greatest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68, 310, 716, 1286?\n\"Answer: 82*m**2 - 4*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -23\/50, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/68946390 and 193\/1652310.\nAnswer: 758410290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16666874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 936 and (-2312)\/(-408) + 18\/(-45) + (-11)\/(-15).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.729 (b) -3.3 (c) -2634\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63811*k**2 + 44738 wrt k?\nAnswer: 127622*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -36 (b) 5 (c) 6 (d) -5 (e) 2\/271\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 2*r + 56. Is w(14) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10\/3)*v**(-6)\/v assuming v is positive.\nAnswer: v**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/3166 and -65\/8.\nAnswer: 12664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375383 is divided by 478?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - -6. Suppose 149 - w = 2*q. Let a = 126 - q. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2603*c - 149*c - 66258 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -33. Let a = t - 8. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-117)\/(-2))\/3)\/((351351\/338)\/231)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 38. Suppose 125 = 4*f + q, -z*f + 151 = f + 3*q. Calculate the remainder when 158 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - q**2 + (-3*q + 11*q + 0*q)*(-4*q + 4*q - 2*q) + 2*q**2 - 4*q**2 - q**2)*(58 - 46 - 169).\nAnswer: 3140*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus 2.536730128?\nAnswer: -2.486730128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let b(l) = 2583*l**2 - 189*l + 189. Let z(h) = 55*h**2 - 4*h + 4. Let a(g) = 4*b(g) - 189*z(g). Give a(f(d)).\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o + 10. Let y(q) = -q**2 + 14*q - 8. What is the remainder when y(9) is divided by r(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-19)*h)\/(h*h**(-6)*h*h))\/(h*h\/(h\/(h*h**(-18)))*h*(h\/(h*h**(-6\/7)))\/h) assuming h is positive.\nAnswer: h**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.061l to millilitres.\nAnswer: 96061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 173568263 + 2.\nAnswer: 173568265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -794 + 799. Let v = -92 - -87. Let z = 9 - 6. Which is the second biggest value? (a) v (b) -2 (c) z (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8634417 to 3 dps.\nAnswer: 3.863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27707 + 167563 = 16*c. What are the prime factors of c?\nAnswer: 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**2 - 6*j - 6. Let n(w) = -4 - 14*w**2 + 9*w**2 - 3 - 4*w**2 - 7*w. Calculate -7*i(f) + 6*n(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78115, -156230, -234345, -312460, -390575, -468690?\n\"Answer: -78115*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:56 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5069 is divided by 1670?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {h: 1, n: 1, p: 2, s: 1, a: 1, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*k - 1317*a + 1321*a + 2, -k = -4*a - 42 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 206*i**2 - 2535*i - 5774. Calculate d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -6) + (0 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-1 - (-2 + 1)). Solve 6 = l*b - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 1, -9400252 in descending order.\nAnswer: 91, 1, -9400252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 974 = 5*c + 79. Is c not equal to 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 40?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20012210010 (base 3) in base 16?\nAnswer: -1ddc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-3))\/3)\/(40\/(-1320))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + 4*b + (-16 - 18 - 7)*(b + 3*b - b))*(-3*b**2 + 2*b**2 + 4*b**2).\nAnswer: -366*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w. Let k(y) = -y**2 + 6*y - 6. Let d be k(4). Let u(j) = 0*j**2 - 5*j**2 + 7*j**d. Determine n(u(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.04 + 2. Let f = i + 0.54. Let r = -619\/21 + 88\/3. Which is the second smallest value? (a) r (b) 5 (c) 1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 - (31 + (7 - (19 - 5))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4537 - 764. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 25 = -2*a, 0 = -2*f + 2*a - a + 9. Suppose f*z - 45 = -2*p + 2*z, -135 = -5*p - 5*z. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 0*j - 2*j - 8, -2*q = 2*j - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from xjxxkddskdjxxdxjd.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -28. Let c = -17 + h. Solve c*k = k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -2\/21 (c) 5\/661641 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:08 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -2*y - 3*z - 36, -y = -3*z - 45. What is the remainder when y is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k\/k**1)\/k))\/k*k)**46\/((k**(2\/3)*k*k)\/k**(-6)))\/((k*k**(-1\/8))\/(k\/(k\/(k*k\/(k*k*k**(3\/11))))*k))**(1\/43) assuming k is positive.\nAnswer: k**(945961\/11352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 - 14 = 0. Let i be (-3*2\/w)\/2. Is 26\/i*1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803843413 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -12?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -1, -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201756 to the power of 1\/2, to the nearest integer?\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 - 10*u - 4. Let v be l(-8). Let t = -154 + 170. Let k = t - v. Solve 0 = -i + k + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuoouvqoqqqqvjuujqqq. What is prob of sequence qo?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -g + 28, 5*g = -3*n + 2*n + 14. Let v be -1*4\/10*n\/28. Let y = -2 - -3. Which is the nearest to 0? (a) v (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(68) - ((sqrt(68) + 1 - sqrt(68)) + 2)))**2.\nAnswer: -300*sqrt(17) + 1926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100000011011001110 - 1?\nAnswer: -1011100000011011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136467, -134720, -132975, -131232, -129491?\nAnswer: -127752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -177136993 and -177136993 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -43 + 17. Let t(b) be the first derivative of 6*b**4 + y*b**3 + 8 - 21 - 19. Find the third derivative of t(d) wrt d.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezceheezzhxc. What is prob of picking 1 c and 1 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 2*n + 79. Give j(-22).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiouiiooionoouoiuoi. Give prob of picking 2 i and 1 n.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**6\/20 + 3*q**5\/20 - 3*q**4\/8 - 3*q**3\/2 - 76*q**2. Let y(x) = -x**3 + x**2 - x - 1. What is 2*o(t) - 18*y(t)?\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -3 - (4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3560399 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151795996\/117 + 1297392. Let h = 294887\/936 + k. Let n = 308 - h. Calculate the common denominator of n and -23\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -38*j**3 + 60*j**2 - 2*j - 2. Determine v(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 53 - 71 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-10)\/(-6))*-6. Solve -4*k + 2*i = j, 17 = -2*k - 4*i - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 - 186*i**4 - 64380*i**3 - 377382*i**2 + 441945*i = 0. What is i?\nAnswer: -115, -7, 0, 1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1271*b + 221*b - 19700 - 25450 = 0 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*b = 9, 0 = 2*b - 2015 + 2009 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14568.0253 rounded to 0 decimal places?\nAnswer: -14568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 181367*v\/4 + 906785\/2.\nAnswer: (v + 10)*(v + 181357)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -627+189042\nAnswer: 188415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21772 + -21765. Solve 2*l = -5*p - 1, -30 = -10*l + z*l + 3*p for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 21*m + 122. Suppose -3*o = -a - 2 + 27, -38 = 4*o - 2*a. Calculate q(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6571, 6575, 6583, 6595?\n\"Answer: 2*f**2 - 2*f + 6571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2128*z**3 - 3*z**2 + 3*z - 3. Let j(q) = -40432*q**3 - 56*q**2 + 56*q - 56. Calculate 56*c(d) - 3*j(d).\nAnswer: 2128*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*l + 8, 4*o = 5*l + 55 - 7. Suppose -3*x + y - 3*y = o, 1 = 3*x - 2*y. Let m(i) = -2*i**3 + 1. Calculate m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102111 + 1?\nAnswer: -102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -351*g**2 - 441*g + 63. Let j(k) = -22*k**2 - 28*k + 4. What is 63*j(h) - 4*z(h)?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45 and 0.2652.\nAnswer: -11.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Let t(q) = -5*q**2 + 2*q**2 + 2*q**2 - 3 - q**3. Calculate t(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3942 divided by -438?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 257639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 1942?\nAnswer: 287416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20968 or -20992?\nAnswer: -20968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 6, p: 1, h: 9}. What is prob of picking 1 l, 1 a, and 2 h?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45, -10, -101, -228, -391?\n\"Answer: -18*w**2 - w + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 13*q = -801. Calculate the highest common factor of q and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -18\/11, -7, 0.1, -2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77)*2)*-1)\/((1*sqrt(14))\/sqrt(2)))**2 + (sqrt(880)*1)\/(-3*sqrt(20) + sqrt(5)).\nAnswer: -4*sqrt(11)\/5 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2039 is divided by 1948.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -0.5, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4312 and 94248.\nAnswer: 659736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (289*k**3 + 73*k**3 + 102*k**3)*(5*k**2 - 6*k**2 + 0*k**2 + (-2 - 2*k + 2)*(k + 1 - 1) + 2*k**2 - 2*k + 2*k + (20*k - 13*k - 13*k)*(2*k - k + k)).\nAnswer: -6032*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + f + 2*f + f - 2 + 2 + (1 + 2 - 1)*(3*f + 0*f - f) - 41 - 10*f + 19 + 20.\nAnswer: -6*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.9 - -21.92. Let k = t + -0.02. Let l be (58\/(-145))\/((-42)\/10). Which is the closest to -0.1? (a) k (b) -3\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 4462761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, 10, 2914, 2, 5.\nAnswer: -5, -2, 1, 2, 5, 10, 2914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 1. Let l(a) = -7*a - 4. Let k(s) = 5*i(s) + l(s). List the prime factors of k(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 36 = t - 0*t, 5*t = 4*a + 52. Let w be a\/28 - 5\/(105\/(-6)). Solve w*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22\/3 + 7. Let a = -0.01 - -0.41. Let o = -4 + 5. What is the nearest to o in a, 4, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Suppose -f - 5*i = 23, 3*f + 0*f - 21 = 3*i. Let u = v - f. Is -2\/3 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-1357 + 1346 - (0 - 17))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e8c (base 15) in base 9?\nAnswer: 25016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -216, -219, -222?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431360, 3450729, 11646144, 27605627, 53917200?\nAnswer: 93168885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9 + 0.9. Suppose z + 1 - 3 = 0. Which is the smallest value? (a) z (b) y (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*b - 2*b + 11, -2*o - 4*b = -2. Let p = o - 0. What is the third derivative of -2*u**5 + u**p - 7*u**2 + 16*u**2 + 5*u**5 wrt u?\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21285 divided by -7095.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 11223099?\nAnswer: 179569584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.8 - 4.3. Let g = -0.3 - -3.3. Let y = 0 + -0.1. Which is the closest to y? (a) -0.1 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 134, 139, 144, 149?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 101, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 550*c + 4089. Calculate a(-9).\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, b: 1, o: 4}. What is prob of picking 1 b and 1 q?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*m. Let q(b) = -b**2 + 22*b - 14. Let i be q(21). Suppose i = k - m. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-932 - -944) + (-1 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*g = -123*g - 109*g + 312 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5780 in -5, -2.6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 28. Let y(i) = 476*i. Calculate k(y(s)).\nAnswer: -1904*s + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + -5*(sqrt(1331) + -1)**2 - (3 + 5 + sqrt(99) + sqrt(22)\/sqrt(2)*-4 + sqrt(11))).\nAnswer: -6658 + 110*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18187769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24782 is divided by 2753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 790 - a3e1a?\nAnswer: -a367a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) + -2*sqrt(504)*1 + sqrt(504) + sqrt(504) - sqrt(504))*3)\/((-1*sqrt(968))\/(sqrt(196)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-9 - -12) - 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1860 times -4.0228\nAnswer: -7482.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) - -5*(sqrt(1500) - -2*sqrt(1500)))\/(((-4*(sqrt(72)*1 + sqrt(72) + sqrt(72) + sqrt(72)) - sqrt(72)) + sqrt(72))\/sqrt(6)).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 24 = 4*w, 4*z = -2*w - 3*w + 56. Let u be ((-2)\/(-4))\/(w\/(-16)) - -65. Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 39333129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*x + 43 = -2*x, 25 = -3*w + x for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:11 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13434488 and -0.188.\nAnswer: 13434487.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/7 - 18*t**4 - 13578*t**3\/7 - 240250*t**2\/7.\nAnswer: 2*t**2*(t - 125)*(t + 31)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 12*l - 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 5. Let x be (-9 - -4)*3\/(k*3). Suppose -5*t = 5*h - 760, 5*t - x*h = 2*t + 424. What are the prime factors of t?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 8765 + 2883 = 0. List the prime factors of w.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5013082 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: What is the highest common factor of 416 and 44044?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 5*k + 6 = 74 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.5119 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.950639 to two decimal places.\nAnswer: 67.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7694 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*v + 107, 4*g + 4*v + 159 = -189. Let u be 115\/5*-3*2. Let m = g - u. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -95*h. Let s(y) = 2601*y**2. What is s(x(c))?\nAnswer: 23474025*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 5*f - f**2 + 9 - 11. Let u be i(2). Suppose -2*d + 4082 = 2*q + 3*d, -u*d = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(42) - (sqrt(378) - (sqrt(378)*2 - sqrt(378)))\/sqrt(9))\/(-2*sqrt(600)))**2.\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -18. Suppose 2*z + s = 3*z. Suppose 0 = -5*p + z*p - 11. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -485*a**2*t - 189805*a**2 - a*t + 13*t wrt t.\nAnswer: -485*a**2 - a + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -11*h**3 - h**2\/2 - 35*h - 89. Find the second derivative of q(r) wrt r.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4272 to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1347273619 to the nearest integer?\nAnswer: 36705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4594 at most -32156\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/4 + 33\/4. Let t = -9 + j. Suppose -h = -0*h + 2. Is h less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e - 1c1?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721677863 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*b - 2, -3*b + 19 = -0*b + k. Solve -2*h + 4*v = b*v + 2, -3*h = -3*v - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21460.643 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 20, -2*s + 52 = -9*i + 7*i. Let q be 5\/2 + 1\/(-2). Suppose q*g + 3 - 16 = -3*k, -19 = -2*g - k. What is the remainder when s is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 29 = 3*t, -3*r - 110*t + 56*t - 21 = -52*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -313059, -626117, -939175?\n\"Answer: -313058*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 - 62*z\/9 + 116\/9.\nAnswer: 2*(z - 29)*(z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f - 4*k = -48*f - 196, 4*f + 7*k = 193. Calculate the remainder when f is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:30 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213249276 divided by -6.\nAnswer: -35541546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 9*x - 5. Let b be 11\/2 - (-1)\/2. What is the tens digit of t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8397799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**3 - 2. Suppose 15*h = 10*h. Suppose -2 = -h*q + q. Let t = 3673 - 3664. Let m(x) = 21*x**3 - 9. Determine q*m(b) + t*r(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = -277*h + 38 + 168 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 4*f - h, -12 = -4*h - 0*h. Let o be (27\/f - -3)*4. Solve -o*l - 32 = 4*a, 0*l + 2*l + 33 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g = 142 + 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 3*h**2 - 3. Determine o(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 634 (base 10) to base 5\nAnswer: 10014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -137828\nAnswer: 27565.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19\/1950 + -39281\/1950. Let n = -20 - q. Put 2\/7, n, 0, 0.2 in decreasing order.\nAnswer: 2\/7, 0.2, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3016*r - 5413 wrt r?\nAnswer: 3016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + u = 4*u + 10, 2*u + 6 = 0. Which is the closest to 4\/5? (a) -1\/4 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*d - 158*d + 165*d - 1 + 1.\nAnswer: 73*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256637340 + 0.013.\nAnswer: -256637339.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n. Let l(k) = -13*k**2 + 113*k - 1. Calculate r(l(v)).\nAnswer: -78*v**2 + 678*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/a)\/((a*a\/(a*a**13)*a)\/a*a) assuming a is positive.\nAnswer: a**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*d = -138 + 34, d - 782 = -7*j. What is the lowest common multiple of j and 272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 5*q**2 + 3*q + 3. Suppose -219 - 369 = -185*h - 11*h. Let u(i) = -i**3 + 4*i**2 - 2*i - 2. What is h*u(r) + 2*o(r)?\nAnswer: -r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 646. Let l(b) = -b**2. Determine d(l(i)).\nAnswer: i**2 - 646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + i = 263, 0*v + 3*v = -2*i + 155. Solve 0 = -11*q - 2 - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15816 is divided by 52?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - 4*z - 4. Let r(o) = o**2 + o + 1. Suppose 2*v + 21 = -5*n, -3*n - 3 = 4*v + 4. Suppose 0*a - 2*a = -v. What is a*f(m) + 4*r(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - -2.4. Let o = -10 - -6. Which is the nearest to -1? (a) y (b) o (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 1\/3 (c) -8 (d) -4 (e) -4\/7 (f) 251013 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f + 2943. Let r(n) = n. What is r(j(c))?\nAnswer: 4*c + 2943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 4. Let b = v - -17. Suppose -27*d = 24261 - 24315. Solve 15 = -d*l - 4*f - b, 45 = -5*l - 5*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-56))\/(((-135)\/12)\/5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 599, 601, 603, 605?\n\"Answer: 2*q + 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-192)\/20)*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3721570 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 - 3*x**4 + 4*x**4)*(-2 + x + 2) + 4*x**5 + 2*x**5 - 2*x**5 + 7*x**5 - 2*x**5 - 2*x**5 + 0*x**3 + x**5 + 0*x**3.\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 15*q**5 - 55*q**4 - 35*q**3 + 235*q**2 - 100*q - 60 = 0.\nAnswer: -2, -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41343457 is divided by 2618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 11 + 5)*(-3 + 3 + g)*(2 - 1 - 3) to the form m*g + l and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 54.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 5*h + 2. Let y be l(3). Suppose -5*c = 2 - 12, -y*j - 1015 = 5*c. Let f = -137 - j. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times -14\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:04 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0334 in 0, -1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {j: 1, f: 4, e: 2, a: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -59.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 21 = 1421. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Let y be 14186\/99 - (-52)\/(-286) - -2. Let n = y + -145. What is the second smallest value in h, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3111\/2, -2.16, -40\/3?\nAnswer: -3111\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 6. Let j be m(4). Let o be 1 + j\/3 - 0. Solve 4*n = 5*g + 11, o*g = 5*n + 2 - 19 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.34 - 0.28. Which is the third biggest value? (a) -1\/20 (b) 2\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 923*m**4\/12 + 392*m**3\/3 + 300*m**2. Find the first derivative of l(w) wrt w.\nAnswer: 1846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 875*m - 3255*m + 25 - 25 - 6999*m in the form n + j*m and give j.\nAnswer: -9379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -4*y - 3*z, 0 = y - 2*z + 5 + 35. What is the units digit of y\/(7 + -1)*-148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + r**2 + 7*r - 5. Let f(x) = -x + 1. Let o be 9 + (-40)\/(-15)*12\/(-8). Let g(n) = o*f(n) + i(n). Factor g(y).\nAnswer: -y*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**3 + 12*p**3 - 4*p**3.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3328)\/(-320) + (-13)\/(-5). Which is bigger: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (90 - (-8 - -48)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-434))\/((-5265)\/(-54405))?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -2\/5, 255.3, -1103?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-36) - (-29)\/9 - -849. Suppose 7*u - 6*u - z = -2*j, -4*u - 1728 = -4*j. List the prime factors of j.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1520*f**3 + 8616*f**2 wrt f?\nAnswer: -9120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**(-2)\/m))**21\/(m\/(m**4\/m))**(-1\/84))**(1\/12) assuming m is positive.\nAnswer: m**(1763\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from csscsc.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44d5 + -52?\nAnswer: 4483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 2 - 3 - 2*y + 0*y. Let b be f(9). Let t = 14 - 9. Put b, t, -0.1 in descending order.\nAnswer: t, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 j when three letters picked without replacement from qjjqqjq?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3094 divide 79633372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/1125 and -88\/202990725.\nAnswer: 1014953625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let p(k) = -640*k**2. What is u(p(h))?\nAnswer: -409600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Let o = -11773 + 11773.4. Which is the third smallest value? (a) -2 (b) 1\/7 (c) w (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20736, -20737, -20728, -20703, -20656, -20581, -20472, -20323?\n\"Answer: u**3 - u**2 - 5*u - 20731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trwwrtwtrttttrtt. Give prob of picking 3 t.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(5 - (1 + 2)). Suppose -27 = -g*i - 19. Is i at most 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270219*t**2 + 270214*t**2 - 2032 + 2013.\nAnswer: -5*t**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-140)\/(-21)*18\/(-8). Let y(s) = -63*s**3 + 15*s**2 + 15*s + 15. Let p(g) = 9*g**3 - 2*g**2 - 2*g - 2. Determine c*p(a) - 2*y(a).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let d be u(-4). Suppose -l + n + 3 = -2, 0 = 2*l + 3*n - 10. Suppose -3*b = b - l*c - 41, -5*b + 40 = -d*c. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - m = -9, 2255*m = h + 2253*m + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 95\/(-20)) + (-135)\/132. Let w = 0 - 2. Let s be w*(-2 + 3) + 2. Is i at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297203 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9) + 3228\/18. Let u = m + -175. Sort u, -4, -1, -5 in descending order.\nAnswer: u, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 4*o + 3. Let n = -614 - -612. Determine u(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*4)**2 + 1 + -1*sqrt(7).\nAnswer: -sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 1619*k - 4092*k + 2473*k + 21*k**3.\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.29 + -36. Let g = z + -7.29. Let d = -71\/4 - -197\/12. Which is the second smallest value? (a) g (b) 1\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(7623) + 0 + -5 + 1 + sqrt(7623) + -1 + 2)**2.\nAnswer: -152505 + 1980*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g + 154. Let d(z) = -8*z**2. Calculate d(f(p)).\nAnswer: -512*p**2 - 19712*p - 189728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 7 = -x - 22*m, -2*m = 2*x + 6. Let z be x*(3 + 1 - (5 - 2)). Which is smaller: -1\/228 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(132)*3 + sqrt(132) + sqrt(132))\/(sqrt(588)*5 + sqrt(588)))**2.\nAnswer: 485\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 43, 62, 81, 100?\n\"Answer: 19*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.097\nAnswer: 0.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83826036 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1191993, 2384080, 3576167, 4768254, 5960341?\n\"Answer: 1192087*w - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*1 - sqrt(528))\/(-6*sqrt(275)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 202\/7 (b) -545 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**4\/4 + 3*b**3 - 11*b**2\/2 + 4*b + 222. Determine g(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-1)\/2)*-4. Let n(x) = x**2 - x + 1. Let r be n(z). Suppose 9 = 4*q - r*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154400 = -1940*n + 10*n for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 8*o - 5. Suppose -7*b + 28 = -3*b. Let q be t(b). Suppose x = 10 - q. What is the highest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 2*v**2 + 2*v - 4. Let d be i(-3). Let o = 212 - d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/7 (b) 9 (c) 3.6 (d) 3 (e) -1058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 694.\nAnswer: 2\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 3:46 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 72*t**3 + 73*t**3 - 1 to the form f*t**3 + b + g*t**2 + l*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -3.6. Let o be (-4)\/(-14) + 60\/(-14). What is the smallest value in x, 2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1002?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 23470 = 3*s + 2040, 2*n + 7150 = s. Is 49 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 7:03 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n + 174. Does 5 divide w(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4.8. Let l = 0.00086 - 0.13086. Put u, l, -4, 4 in decreasing order.\nAnswer: 4, u, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/4 + 15153*u**2\/4 + 2336827*u\/2 - 1172202 = 0.\nAnswer: -14838, -316, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 1)*18\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**3 + 6788095*h**2 - 9*h - 397911 wrt h?\nAnswer: 24*h + 13576190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52080\/(-11160))\/(14\/(-153)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 93. Let q be w(19). Let y be q*(35\/(-10) + 3) + 3. Let -33\/4*k**3 + 0 + 0*k - 21\/4*k**5 + 12*k**4 + 3\/2*k**y = 0. Calculate k.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/210 and 70\/27.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31558 and 1539243?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12728 and 16684?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15136.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 21*s + 67 = -16*r, 0 = -4*s - 5*r - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546576 divided by 182192.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-504)*-6*144\/132.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2155836.2 + -1566130. Let z = u + -589645.20061. Let q = -61 + z. What is q rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1052 - -1047)*(2*-1)\/100?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466301 rounded to the nearest ten thousand?\nAnswer: 2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 72*a + 70. Determine o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 0*h**2 + 0 + 0*h + 3\/4*h**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965837496 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.9 + -168.9. Let h = -163.0427 - f. Let n = -8.2773 + h. Round n to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116537 times 26?\nAnswer: 3029962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/13312052 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-16)*(-372)\/279 + 11 + -2\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p + 5*p + 9*p - 8*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)\/a**(4\/11)*(a\/(a**(-1\/16)*a))\/(a\/(a\/(a\/a**16)*a)))**(-34\/9) assuming a is positive.\nAnswer: a**(-139417\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 8 = -23*c + 4*z, 3*c + 5*z = 24. Solve -7*v = -c*v - 5*d - 24, 3*v + 3*d = -12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**4\/2 - 4*m**3\/3 - m**2\/2 + 2. Let s be o(-3). Suppose 7*p - 4*p = s. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3947660?\nAnswer: 2, 5, 197383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 2*j + 3*j)*(-4 + 3 + 9)*(43 - 22 - 11 + (-5 + 4 + 2)*(-3 + 4 - 3) + 1 + 1 + 0 - 1 - 5 + 4) to m*j + f and give m.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21763434 a multiple of 862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*t = 642*t + 668*t + 24111 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -471.\nAnswer: 4\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*w - 3, 4*w + 6072 = 4*y. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/m**(-11)*m))))**(-2\/23)\/(m**(3\/2)*m)**(-21) assuming m is positive.\nAnswer: m**(2463\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87907 by -2.\nAnswer: -87907\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n**2 + 11*n + 24. Let w be v(-16). Round w to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4215, -4165, -4103, -4023, -3919, -3785, -3615, -3403?\nAnswer: -3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*g + 86*g - 418*g + 88*g + 85*g + 89*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 237\/(-12) - (-384)\/512\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 26. Suppose -4*n = -3*m + 9, 6*n - 2*n - r = -4*m. Solve n = -4*i - 29 + 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + o - 11. Give l(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-8 - (-3 + -4)). Suppose 4*p - 1627 = -4*y - y, s = -y + p + 320. List the prime factors of y.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12 - (15 - 1279057\/47424) and -63\/64.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -300, -308, -318, -330, -344?\n\"Answer: -y**2 - 5*y - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577.530852275 less than 0.3?\nAnswer: -3577.230852275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2216)\/3 - 4\/(-6). What is the units digit of ((-3)\/2)\/(27\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -8 - (-2 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (25 - 38) - (1 + -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 19. Let w be (-1)\/(-2)*-2*0. Is d(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1878*b + 12 = 1881*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910182.\nAnswer: 2, 3, 7, 13, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -12\/5*t**5 - 4*t**2 + 0*t**4 + 0*t**3 + 0*t - 12. What is the second derivative of i(h) wrt h?\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - b - 22*b**2 + 23*b**2 + 0.\nAnswer: b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -957\/10 + 951\/10. What is the closest to -2\/57 in -0.4, 0.4, 2\/7, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 7*g**3 + 9*g**3 - 5*g**3 + 6*g**3 - 74*g**2 - 2*g**3 to h + d*g**3 + q*g**2 + r*g and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61068859 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*s**2 + 95*s - 95*s)*(s**3 + 0*s**3 - 3*s**3) - 2*s**5 + 2*s**5 - 4*s**5.\nAnswer: -190*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**7\/840 - z**6\/60 + z**5\/15 - 63*z**3\/2 - 2*z**2 + 3. Let q(i) be the first derivative of s(i). Determine q(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:56 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 594*d - 595.\nAnswer: (d - 1)*(d + 595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 108 = y. Suppose -2*l - 5 = -y. Suppose -g - 2*g = 9. Sort l, -5, g in decreasing order.\nAnswer: l, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, -10 in descending order.\nAnswer: 2, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -1 + 2)\/(-2). Let s be ((-6)\/(-15) - h)*5. Suppose 2*v + 32 = 4*l, s*l + 0*l - 5*v - 16 = 0. What is the lowest common multiple of 2 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 83 (b) -0.3 (c) 1\/6 (d) -0.6 (e) 35 (f) -1\/3 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2432, -4858, -7290, -9734, -12196, -14682, -17198?\n\"Answer: -k**3 + 3*k**2 - 2428*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 27*c**2 - 5. Suppose u - 7*u = 10*u - 96. Let q(m) = -27*m**2 + 6. Calculate u*b(l) + 5*q(l).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.720212 rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -288 (b) -1\/2 (c) -12\/7 (d) 7\/5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -1865.\nAnswer: 49\/1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-658)\/63)\/((-128)\/(-576)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:06 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = 180. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -105, -157, -219, -285, -349, -405?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 116. Let c = w + -17. Let d = c + -31.929. What is d rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3 - 1 - 1 + 1 + (-1 - 1 + 0)*(-2 - 3 + 4))*(-2*z - 2*z + z) to r*z + n and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 17*c = 4035. Let n = c - 60. Suppose 5*y = -59 + n. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 > 1259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*f - 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -629 - -949. Suppose -10*g + 6*g = -p. What is the highest common divisor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 2, n: 1, a: 6}. Give prob of sequence nsca.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 - 290 = 18*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-21))\/(3*(-1)\/(-9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*b - 24, -269*b + 281*b - 4 = -4*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 1, u: 4, m: 2, d: 2}. Give prob of picking 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 70 = -i, -5*i - 4*o + 139 = 402. Let f = -271\/5 - i. Let q be (4\/(-30))\/((-1)\/3). What is the smallest value in -1\/8, f, q?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52753*l + 52748*l = -29*c - 24, 3*l = 10*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 292, 241?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 - -2.5. Let f = -190.3 + 184.3. What is the smallest value in 4, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m*v**5 + 2*m*v**2 + 56*m + 62*v**5 + 32*v**3 - 47*v**2 wrt v.\nAnswer: -540*m*v**2 + 3720*v**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:10 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047776511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 148, 2\/13, -1\/2, 0.5, -6\/83?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170010648 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 974122, -2.\nAnswer: -2, 4, 974122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 12) to base 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*b - 26, -n + 23 = 4*b - b. Suppose 5*i - 3 = 4*y - 11, 5 = i - 3*y. Let t = i + n. Solve 4*g = 4*m + 28, 3*m + 11 = t*g - 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/(-44) + ((-1107)\/12 - 2). Let n = -75 - s. Suppose -y = 2*j - 4*j + 315, -j + 5*y = -135. Calculate the highest common factor of j and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013*5561.\nAnswer: 72.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70909 + -4?\nAnswer: -7090d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/2)*r**9 assuming r is positive.\nAnswer: r**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:56 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1677*c**2 + 1580*c + 4526520.\nAnswer: -3354*c + 1580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3750 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-14)\/(-7))\/2)*(-184)\/(-782)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 4*v + 16, h + 24 = -342*v + 337*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2\/3 (c) 30\/647\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -1.5. Let h be (-4)\/1*25\/(-20). Let x = h + -8. What is the third smallest value in -0.3, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = s + 9*s. Calculate the highest common divisor of s and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 1901 = -1347. Suppose -5*k + 0*k - v = -u, -5*k - 4*v + 476 = 0. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 0*x**5 - x**5 + (-2 - 4 + 3)*(-3*x**5 - 2*x**5 + 3*x**5).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 59 + -58 + 0 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275806 is divided by 137899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 1738*n**2 + 229066*n - 353. Calculate o(-162).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/32)\/(3\/(-18)). Let h = -2.2 + 2.7. What is the nearest to -1\/5 in d, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3680?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3691, 6318, 8991, 11710, 14475, 17286, 20143?\nAnswer: 23046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.08 * -293931\nAnswer: -317445.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2 - 4*t. Let u(o) = -3*o**2 + o. Let i(d) = -8*u(d) - 3*w(d). Let l(j) = 7*j**2 - 9*j. What is 9*i(h) + 4*l(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706252, -1412502, -2118752?\nAnswer: -2825002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 25) + (-8 + -1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*r + 5 = -1, 0 = 2*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -20e8b14?\nAnswer: -20e8b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - 2. Let u = 194 + x. Is u a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1134 divided by 63.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6471059?\nAnswer: 7, 924437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = 4*a + 6*i - 243, 5*i = 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51748.\nAnswer: 2, 17, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 = 14. Let r(z) be the third derivative of -7*z**6\/120 + z**5\/15 + z**4\/6 + z**2. Let d(m) = 6*m**3 - 3*m**2 - 3*m. Determine v*d(w) + 3*r(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 4, 6\/11, 1\/11 in descending order.\nAnswer: 4, 6\/11, 1\/11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 818598064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 - 707*z - 1414. Calculate m(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 0*y - r = -3, r + 1 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 3) in base 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -254617112 minus -5?\nAnswer: -254617107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766969?\nAnswer: 7, 109567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 + 3 - -6) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 12556 = 4254. Is g at least 1682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/6 + (-2)\/3. Let n(i) = -3*i - 32. Let t be n(-20). Suppose u = -3*u + p + 44, s*p = 3*u - t. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*g - 4*w + 15*w - 6*w, -3*g + 31 = -5*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 - ((-1023)\/15 + -1). Let w = 69 - m. Is (w - -2 - -89)*(4 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -4 (c) 14\/43 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 57157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190.8 + -284. Let m = q + 93.17. Let y = -0.3 + 0.4. What is the closest to -2\/25 in -0.5, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 34*h**2. Let x(s) = s - 1. Let i(a) be the third derivative of -a**4\/6 + a**3\/3 + 93*a**2. Let q(l) = i(l) + 2*x(l). Determine o(q(w)).\nAnswer: 136*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Which is the second biggest value? (a) -4 (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - n - 15 = 4*n, -7*n - 9 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*o + 92 - 92)*(-4 + 3 - 4) to z*o + h and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 5. Let t be z(5). Suppose 116 = 77*l - 38. Solve -m + t = -l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02072 times -2?\nAnswer: -0.04144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2962 + 3023. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {y: 1, n: 3, t: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1882*u - 12*u**3 + 1882*u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-1584))\/((-2)\/8)*(-4)\/((-288)\/8)?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y + 2*y - 4*y**2 + 6*y**4 + 5 - 9*y**4 + 3*y to w*y + r*y**2 + t*y**4 + i + f*y**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -65450 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1822, 3650, 5492, 7354, 9242?\nAnswer: 11162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4522*o + 24*o**4 + 70*o**2 + 6 + 57*o**3 + 4536*o - 9*o**4. Let j(m) = -m**4 - m**2 + m - 1. Let b(i) = -g(i) - 6*j(i). Suppose b(u) = 0. What is u?\nAnswer: -5, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7529 - 7528. Solve s + 42*r - 45*r = t, -2*r = -5*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5, -5*y = 3*t + 69 - 755. Let g = t + -679\/3. Which is the biggest value? (a) -18 (b) -3\/11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 928125 - 933345 = 46*c for c.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**5\/20 + 7*v**4\/12 - 31*v**3\/6 - 8*v**2 - 331*v. Calculate n(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 440520930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11917*w**2 - 305*w + 21 wrt w.\nAnswer: -23834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 5. Suppose 4*f - 4 = 4*x, j*x = -2*f + 10 + 6. Let t(r) = -4 + 4 - 2*r**x. Let n(k) = k. What is t(n(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -473 (b) -1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 11. Suppose a*g = g + 195. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4008029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (65\/182)\/(-5)*(20 - 5312\/264)\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 5*f - 1\/2*f**2 + 3. Differentiate p(q) with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795911 is divided by 118?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9*q - 399 = 11*q. Sort 1, 3, q, -5, -1 in descending order.\nAnswer: 3, 1, -1, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/830 and 9\/332.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/14 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2440*v - 4. What is y(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -89 (c) 54 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 13*o - 13. Is m(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -536 + 539. Solve 3*h + r*c = 6, -3*c + 25 - 3 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4370752, -4370750, -4370746, -4370740, -4370732, -4370722?\nAnswer: -4370710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 401541 in increasing order.\nAnswer: -4, 3, 401541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1171749 and 0.4.\nAnswer: 468699.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 5*j - 36, -b - 28 = -3*b - 5*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144047445 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1181*s**3*v**3 - s**2 + 2*s - 3119*v**3 wrt s.\nAnswer: 7086*s*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2249*v**2 + 1956*v**5 + 1111*v**2 - 1690*v + 1138*v**2 wrt v?\nAnswer: 39120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 6*t - 6 = -4*t, 3*s - t - 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263 + -4662364.\nAnswer: -4662627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**4 + 15989434*b**3 - 3033378*b - 29.\nAnswer: 120*b**2 + 95936604*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1603*a**3 - a**2 + 7*a + 8. What is the units digit of y(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyvyy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1104 + -1773. Let o = a + 651. What is the nearest to o in 4, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 2. Let k be z(5). Let h = 0 + 15. Suppose -k*u + 3*s + 9 = 0, -u + 36 - h = 5*s. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Let j be 112\/12 - b\/6. Suppose 3*y + 4*l + j = -2, -4*y = 5*l + 13. Solve 6 = y*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -da05 (base 16) to base 7.\nAnswer: -321502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:20 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 1, j: 1, k: 2, r: 2, y: 4}. What is prob of picking 1 z and 1 y?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6254 + -6265.004. Let x = 11 + d. What is x rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -12, 1577 in decreasing order.\nAnswer: 1577, 5, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 139*z**3 + 0*z**2 - 137*z**3 - 3*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-512)\/2080 + (-2)\/13. Which is the biggest value? (a) -5\/7 (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -19.62. Let v = j - 7.12. What is v rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265426 and 2170.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 5 + 2\/((-8)\/(-28))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -10. Suppose x - w*b = -0*b - 17, 3*b - 21 = -2*x. Solve -x*y = 2 + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 2. What is the second biggest value in 5, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 4*j**2 + 4. Suppose a + 1 = -2*s + 2, 0 = -2*a - 6. Suppose -5*l - 43 = -s*i - 2*i, -26 = -2*i + 4*l. Let f be 279\/63 + (-3)\/i. Give o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {n: 2, d: 2, m: 4, k: 3, g: 1, f: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2 + 34*h - 5. Let d be w(7). Let o = d - -210. Calculate the remainder when 659 is divided by o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-700)\/60 - (-2 - 8).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 2120 = 7*z + z. Sort -1, z, 5, -5 in ascending order.\nAnswer: -5, -1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(4\/20 - 0). Suppose 72 = -11*r + 20*r. Let m be 4 - (2 + 1 + r\/(-2)). Solve -q + m*q - 16 = 5*b, -17 = i*q + 3*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4\/3 + 686*m**3\/3 - 23859*m**2 + 1059604*m\/3 + 1131868\/3 = 0.\nAnswer: -1, 19, 106, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 5. Let r be a(4). Let q = 11 + r. Calculate the smallest common multiple of 10 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 2*g**2 + 0*g**2)*(-3 - 1 + 1) + 10679*g - 10678*g - 13*g**2 - 20*g**2 - 15*g**2 - 3*g + 5*g**2 + 11*g**2 + 2.\nAnswer: -38*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - 3*z**3 + z**3)*(-3 + 0 - 1).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 4*h = 0, -3*v = -h - 11. Solve v*b - 20 = 5*x, 4*b = -x + b + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 9 = f, 44*z - f + 9 = -53*z + 94*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t + 10029 = 5*b + 31*t, 8025 = 4*b - 3*t. List the prime factors of b.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -2\/13, -15, -50\/9, -579?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2. Suppose -2*k - s + 1 = 0, -2*k = 5*s - 15 - 6. Let u be (32\/8)\/((-4)\/16). Let m be 2 - (u\/20 - k\/(-10)). What is p(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290631190?\nAnswer: 2, 5, 1087, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14532 + 14534. Let o(l) = -4*l**3 - 1. Let b be o(-1). Sort -1, 5, b, d in descending order.\nAnswer: 5, b, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183 - (-8 - (34 + -18 - 61)).\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*d**2 - 89*d**2 + 28*d**2 - 199*d**6 wrt d?\nAnswer: -23880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/120 - 7*g**5\/60 + 7*g**4\/24 + g**3 - 3*g**2 - 5*g. Let d(x) be the first derivative of h(x). Determine d(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*b + 72, 2*t - 152 = -5*b - 2*t. Let c = 34 - b. Let h(u) = 21*u**c - 36*u**2 - 7*u**2. Let f(z) = z. Calculate f(h(r)).\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:17 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 - 8*p - 9. Determine q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 338*h. Let g(c) = -20*c - 2. Calculate p(g(x)).\nAnswer: -6760*x - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Let q be 5 - (2 + -2 - -2). Let f(l) = 5 - r - 4*l + 5 + q*l. Give f(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbb when three letters picked without replacement from {e: 1, b: 2, y: 7, q: 1, v: 2, n: 6}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.45 - -4.54. Let o = l - 0.09. Let q = 4 + o. Which is the closest to 2\/5? (a) 0 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u + 36*u + 2*u)*(-5 + 2 + 0 + (-2 + 1 + 2)*(-2 + 0 + 3))*(2 - 1 + 0).\nAnswer: -102*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 10:17 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-22) + (-21)\/2 - (-30)\/(270\/(-63))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 756 - 920 = 0. What are the prime factors of g?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3379 - 1864. Suppose c = -4*v + 14599. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1 - 3 + f + 4 + 5. Let y be u(5). What is the greatest common divisor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/15)\/((59\/118)\/((-10)\/8))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-1)\/(9\/(-579)). Let l = i + -68. Is -1 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 26 (b) -6 (c) -316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0 + 0*m**3 - 1\/12*m**4 + 0*m - 19*m**2. Let j(d) = d**2 + 3*d. Let l(p) = p. Let c(g) = -j(g) + 3*l(g). Calculate c(y(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.4 (c) 2\/5 (d) 0.1 (e) -54 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:20 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)\/a)**46)**24*((a\/(a**(-2)*a))**5)**23 assuming a is positive.\nAnswer: a**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.17 - 603.96.\nAnswer: -592.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01588 - 0.01588. Is x > -0.015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.8. Let l = -551635 - -36408745\/66. Let y = -77\/6 + l. Put -3\/10, y, j in decreasing order.\nAnswer: j, y, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12202223210 (base 4) to base 8\nAnswer: -6425344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/10648 and -91\/12.\nAnswer: 31944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - ((-2925)\/(-390))\/((-6)\/(-4))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-42) - (-180)\/315.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 106*j**2 + 655*j - 500. Calculate l(-99).\nAnswer: 3262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w + 45. Let p be z(11). Let g be 5*(-4)\/p - 1. Let i be (-2 - -4) + 5\/g*1. Solve -l + t = 4, -4*l - 5*t + 0 = i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o - 12. Let r be o + (-78)\/(-16) - 2. What is the smallest value in 0.4, r, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 170 + 428. Let d = 47 - l. Solve 2*p - d*p - 9 = -y, p - 3*y = -17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 4. Let m(u) = -2*u**2 + 3. Let t(i) = -4*m(i) - 3*y(i). Let z(d) = 3*d - 3*d - 3*d + 6*d. What is t(z(a))?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2599762977?\nAnswer: 3, 7, 1129, 36551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*h - t = 170*h + 3, -4*t = 0. Put h, -1, -65 in decreasing order.\nAnswer: h, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 1. Let d be h(-5). Suppose -2 + 12 = 5*v. Put d, 0, v in descending order.\nAnswer: d, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 15*b - 1. Let s be d(7). Suppose -s*z + 5*z + 359 = 0. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -3.938632.\nAnswer: -1.969316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 6*b - 4. Suppose 2*r - b*s = 4, 7*s - 2*s - 4 = r. Solve 0*k = -3*k + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 7 - 119 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -7. Suppose y + 2 = -12. Let u = y - -57\/4. Sort -0.1, u, r in descending order.\nAnswer: u, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 968*y + 201870 - 201870 to h*y + n and give h.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2\/5 - 1)\/(78\/(-598)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.491 + -5.491. Which is the nearest to -0.1? (a) -4 (b) -6.6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, -12432795 in ascending order.\nAnswer: -12432795, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7. Suppose u = 5*x + 5*q - 178 - 822, 2*q = -6. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2. Let q(k) be the first derivative of k**6\/180 + 48*k**3 - 299. Let r(u) be the third derivative of q(u). Determine l(r(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2151 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -4 (c) -0.1 (d) -77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 f when three letters picked without replacement from {f: 1, n: 2, r: 2, v: 1, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 + 7*t + 6. Let v(n) = n**3 - n**2 - n + 1. Let k(f) = 2*v(f) + y(f). Let h(b) = -8*b**3 + 2*b**2 - 6*b - 9. Determine -5*h(u) - 6*k(u).\nAnswer: -2*u**3 + 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*l - 27, 10*m + 0*l + 4*l - 48 = 0. Factor 16\/3 + 4\/3*k**m - 16\/3*k.\nAnswer: 4*(k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y)**(-1\/12)\/(y**1\/y**(2\/3)) assuming y is positive.\nAnswer: y**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.609 rounded to 0 decimal places?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-18)*-3*315\/(-21)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1304077 and 31211?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 2*i - 5. Let v(j) = 10*j - 6. Let c be v(-2). Let o = c - -64. Calculate the remainder when o is divided by p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n*n**(1\/2))))\/n)\/n**(-29))\/(n**(31\/4)*n\/((n*n**(1\/24))\/n)) assuming n is positive.\nAnswer: n**(475\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6072 - -9018. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - v + 5, -5*i + 3*i = -5*v - 3. What is the smallest common multiple of 4 and (6 - i)*(1 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3561 = 130*k - 39*k + 5175 for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294 + 298. Suppose -5*z + c = -11, 5*d = -z + 28. Solve -d*r = -3*h - r, -3*h - r = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -82?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10222452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, n: 1, p: 3, c: 4, h: 1, o: 5}. What is prob of picking 2 m and 2 o?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 919158963 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w**5 - 54*w + 13*w**5 + 66*w wrt w.\nAnswer: 420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 5, 10, 7, -30, -319 in ascending order.\nAnswer: -319, -30, 3, 4, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120933475\/6 at least 186822246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -0.0782.\nAnswer: -0.3782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 24\/(-32)*(-40)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6593 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3 + 16*k**2 - 741*k - 756 = 0.\nAnswer: -36, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11162534 to the power of 1\/2, to the nearest integer?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 + 514237486*i\/5 + 66110048001900049\/5.\nAnswer: (i + 257118743)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 4*j**2 - 3*j. Let s be a(6). Let w be s\/(-12) + 2\/4. Is -4 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-5)\/3 - (-6)\/18. Let x(w) = -5 + 7*w**p + w**3 + 9 + 0*w**3 - 8*w. Let r be x(-8). Let t(g) = -g**2 + 4*g - 2. What is t(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.06 + -2. Let t = -2 - -2.01. Let k = t - c. Round k to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 12. Let q be u(-5). Let c = q - 17. Solve c = 3*z + z + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 + 245. Suppose 5*b - 52 - 50 = 3*t, t = -5*b + l. Let n = -34 + b. Is n bigger than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205055351 (base 6) to base 16.\nAnswer: -36ef53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3602*g = -3437*g - 63351 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -147, -618, -1401, -2496, -3903, -5622, -7653?\n\"Answer: -156*g**2 - 3*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001111110110010001010 - 1?\nAnswer: 111001111110110010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3d33 (base 14) in base 10?\nAnswer: -394985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*r = -15, 3*r - 4*r = 5*v - 23. Suppose -2*o + 5*o - 145 = 5*w, 155 = 3*o + v*w. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 16 = -2*u + 12*l, 5*u = 4*l - 54 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.51.\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*r - 9006 + 5768 = 9687 + 11615 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 21*x - 42*x + 22*x. Let v(l) = 848*l + 2. Determine v(j(f)).\nAnswer: 848*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d - 113 + 217 = 0. Let n be (-2)\/(-4) - 6\/(-4). Suppose -d*v = n*v - 42. Calculate the remainder when 24 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxyp when four letters picked without replacement from {x: 1, y: 4, p: 8}?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-15)\/4)*-3. Let z(c) = -6*c + y*c**2 - 3*c**2 + 6*c. Let p(l) be the second derivative of -3*l**4\/4 - 17*l. Determine z(p(f)).\nAnswer: 81*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (26 - (2 + 21))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 429 - 405 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17415*b**3 - 17414*b**3 + 12*b - 12*b + 52237*b**3 - 17407*b**3 - 27*b**2.\nAnswer: b**3 - 27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 209706 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -23. Suppose 2*w = 8, -4*t - r*w + 191 + 209 = 0. What is t rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 0 + 6*j - 7. Let p be n(5). Let h be -1 + (-2 - -2) + 5. Solve 5*m + h*l = 21, 2*m + 2*l = m + p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 - -79 - (1 + -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -15\/2*i**5 + 3\/4*i**2 - 9\/2*i**4 + 9\/8*i**3 + 0 + 0*i = 0?\nAnswer: -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let m = 12 - 10. Let x be 2\/((m - 5)\/(-6)). Let v be (-6)\/x + 75\/6. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - 1 - (-15)\/(-17).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/37 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-525) - 252672\/1915200.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, -1\/4, -0.03 in ascending order.\nAnswer: -14, -1\/4, -0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212536?\nAnswer: 2, 31, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1901808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-115)\/(-25) + (-4)\/(-10). Solve 3*n = 4*n - u, -3*i - n = -17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70555, -70554, -70553, -70552?\n\"Answer: k - 70556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = -5*o, 9 + 11 = -2*o - 5*p. Suppose g = 5*w + 6, 4*g - 8 = 5*w + 31. Let d = -47\/4 + g. Put -5, d, o in increasing order.\nAnswer: -5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 32*w**2 + 263*w + 65. Determine f(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32388570 and 90?\nAnswer: 32388570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:41 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(72\/8))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/4 of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -23253\/14 at most -1661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -10 (c) -0.027 (d) 1\/52 (e) 57 (f) 0.5 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-646)\/(-85) + 9\/(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*(-2 + (-121)\/(-44))\/(756\/1584).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, -32, -1015, -2642, -4913, -7828, -11387?\nAnswer: -15590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1616 and 11 - 1 - (469 - 462)?\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14056.6 times 0.22\nAnswer: 3092.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*t - 8206 = 3*t + 12814 + 7540 for t.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 812090165?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109302.\nAnswer: 2, 3, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4845 and 11913.\nAnswer: 1012605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8509\/390 + 145\/39. Let i = y + 68\/5. Let z = 123 + -118. Which is the nearest to 2\/3? (a) i (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 38*j**2 + 8*j - 31. Let m be q(38). Suppose m = 373*h - 372*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c + 764 = 137 - 359 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**7\/105 - 2*h**4\/3 + 15*h**3\/2 - 16*h**2 - 3*h. Differentiate u(s) with respect to s.\nAnswer: -8*s**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -209*u**3 + u**2 + 7*u + 38. Let k(x) = 140*x**3 - x**2 - 5*x - 26. Let l(h) = 7*k(h) + 5*v(h). Find the third derivative of l(q) wrt q.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - 5 - (11 - (-7 + 16))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-48)\/15)\/((-20 + 4)\/160). Calculate the highest common divisor of m and 1152.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-10)\/(-6) - 298\/(-447))*13. Let x(h) = -h**3 + 4*h**2 - 4. Let f be x(4). List the prime factors of z\/((-52)\/24) + f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*f + 4, -s - 4*s - 3*f + 10 = 0. Suppose s*g = -d + 19, 4*d = 7 + 5. Let q = g + 4. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/r**(-34)*r)\/r*r)\/r**(8\/3) assuming r is positive.\nAnswer: r**(106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 16 = 4*c, 0 = 3*c - 16 + 4. Suppose w = 2*o - 5*o + 30. Solve -4*u + o = -9*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511803482.\nAnswer: 2, 277, 923833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*o - 44*o - 38*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**2)**(-28)*(o**(-2\/9))**(-22\/3))**(-41))**(-20) assuming o is positive.\nAnswer: o**(-1203760\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -38*s - 220. Let w be u(-6). Let p(n) be the first derivative of n**3\/3 - 3*n**2 - 7*n + 1. Calculate p(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2727798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.28 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-1)\/(4\/(-12)*1). What is the third biggest value in 2, 12, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(112) - (-3 + -2*sqrt(112))))**2.\nAnswer: 120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569084397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -905.3 * -0.034831.\nAnswer: 31.5325043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + 7. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 1 (b) -5 (c) 933 (d) -2\/5 (e) 7 (f) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10048954 - 16826754. Round i to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -231334, -463139, -694944, -926749, -1158554?\n\"Answer: -231805*p + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.5003 + 9.\nAnswer: 26.5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41886, 0, 3 in descending order.\nAnswer: 41886, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 483*n**2\/2 + 10*n + 8760. Let a(d) = d**2. Calculate o(a(m)).\nAnswer: 483*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125292 is divided by 31317.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -8*h + 8. Let v be (2 - h) + 0 + 1056\/16. Calculate the highest common factor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/9))\/o*o\/o**(-5\/3)*o)\/((o\/(o**(-4\/3)*o))\/o**1) assuming o is positive.\nAnswer: o**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/3)\/f*f)**(1\/12))**(-13) assuming f is positive.\nAnswer: f**(-13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 34 = -6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwfxmto. What is prob of picking 1 m, 1 t, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42363254489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-64)\/256).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 2. Let k(v) = -4*v + 576. Give -k(l) + 5*r(l).\nAnswer: -l - 566","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*w**3 + 105*w - 105*w + 30*w**2.\nAnswer: -71*w**3 + 30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 7*x**2 - 6316. Let i(p) = 14*p. Give i(v(d)).\nAnswer: 196*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/11 - 87*(-25)\/165. Let j = -13 + c. Solve -3*b - 3*s - 21 = j, 5*b - s + 11 = -0*s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92460?\nAnswer: 2, 3, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -0.364312699.\nAnswer: -0.064312699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (7 + (2 - -6))) + -11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1638129*j + 1638134*j - 15*z = 55, 0 = 3*j - 2*z - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*b - 2*b + b + (b - 2*b + 0*b)*(-3 + 3 - 1).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1 (b) -3 (c) 1\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.933216 + 3.5332. Let n = -0.16 + 0.56. Let a = w + n. What is a rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8537, 8545, 8557, 8573, 8593, 8617?\nAnswer: 8645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 1, n: 1, z: 2, u: 6}. What is prob of sequence yyz?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 7*i. Let r be g(8). Let d be (-18)\/(12\/r - 0). What is the units digit of (-36)\/3*(-3)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -0.6 (c) -3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18571 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 19 + 4. Suppose 2*v + 70 = 5*w + 11, -3*v = 2*w + 98. Let a = l - v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*d**2 - 130*d - 40.\nAnswer: 5*(d - 4)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 10:24 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2718061, 2718042, 2718023, 2718004, 2717985?\nAnswer: 2717966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o - 6. Let b = 0.05 + 0.45. Let v = b - 0.9. What is the closest to 2\/7 in o, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 131*s**2 - 185*s - 41833. Calculate y(-132).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 55545 divided by 2645\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 328870*y. Let n(v) = 727*v. Determine l(n(g)).\nAnswer: 239088490*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-33)\/(-176)*22744*((-16)\/(-2))\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 462 divided by 6\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j)*((4 - 1 + 0)*(61 + 36 - 23) + 0 + 2 - 5) + j + 1 - 1.\nAnswer: -437*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*j - 17 - 17, -12 = 3*j. Let q(g) = g**2 + 6*g - 9. Let c be q(m). Let x(t) = -7*t + 11*t + 2 - t + 2*t**2. Determine x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - j - 75. Give o(-16).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**3\/3 + o**2\/2 - 5*o. Let s be p(-2). Let l(a) = a**2 - 1. Let k be l(-2). Solve -k*n + s*n = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*42\/15*108\/3213.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014238 rounded to four decimal places?\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18))\/((-19)\/(-12597)*17)*20\/(-15080).\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -4 - (1 + 8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 + (-346)\/(-14). Find the third derivative of a*v**2 + 2*v**5 - 24*v**2 - 4*v**5 wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50085, 50107, 50129, 50151, 50173, 50195?\nAnswer: 50217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*d + 5*u - 4*u, -6*u = 2*d - 2*u + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(320) + 3*(sqrt(25) + sqrt(125)\/sqrt(5))\/sqrt(5)*4)**2.\nAnswer: -448*sqrt(5) + 5169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 3925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-1140)*-19)\/((-4)\/(-65)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 1.2. Which is the closest to 1? (a) -2 (b) d (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:04 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*24\/(-160)*2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16952748*c**6 + 21451017*c**2?\nAnswer: 2034329760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 341 + -344. Sort 3, 9, k in increasing order.\nAnswer: k, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j. Let d(k) = 5*k**2 + 8*k + 88. Let i(w) = w**2 + 1. Let h(c) = -d(c) + 6*i(c). Let m(a) be the first derivative of h(a). What is u(m(v))?\nAnswer: -4*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/1*6\/(-20)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 3\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/11 (b) 0.1 (c) -0.08 (d) 539 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -11. Let y be 2\/(-6) - 13\/(-3). Is y less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a microsecond in nanoseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1210 and -2455.8309.\nAnswer: -3665.8309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 18031200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2349*i + 655*i - 54208 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, t: 1, q: 4}. Give prob of sequence qcq.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -491034, -982322, -1473610, -1964898, -2456186?\n\"Answer: -491288*z + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/6 + h**2\/2 - 4*h. Suppose 0 = -5*f + 5 - 15. Let i(k) = 8*k - 7. Let u(n) = f*i(n) - 14*z(n). What is u(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*5*(6\/(-8))\/((-700)\/(-560)). Put h, 0, 1, -3, -11 in increasing order.\nAnswer: -11, -3, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 17, -5 in descending order.\nAnswer: 17, 15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 0.4, 0.2, -5, -0.2 in decreasing order.\nAnswer: 0.4, 0.2, -0.2, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.5 and 46333.\nAnswer: 208498.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/2 (b) 0.4 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 27*v**4\/4 + 3*v**2\/2 + 41*v + 22. What is the derivative of t(h) wrt h?\nAnswer: 81*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 - 65*s**4 - 80655*s**3 + 1209805*s**2 - 2177410*s + 1048320 = 0. Calculate s.\nAnswer: -128, 1, 13, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) -11 (b) 1 (c) 3 (d) 2\/55 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33965.93557 rounded to the nearest one hundred?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18904?\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 51e?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2\/2 - 18. Let t(g) = 18*g**2 + 7*g**2 - 8*g**2. Determine t(m(y)).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5666992 and 53920.\nAnswer: 56669920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12525?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2280\/18620*((-16)\/(-4))\/(-12)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 = 3493*r + 22189 - 798 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-6)*-2)\/((-903)\/(-86)))\/((-14304)\/15645).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = b - 4*t + 5, 4*b = -5*t + 25. Suppose 3*s + 9 = -b*s. Let w(g) = -g**2 - 2*g + 2. Calculate w(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/((-1394)\/51)*1420\/6*194\/485.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(16\/(-6) - -2)*(-17490)\/(-848).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -22*u**2. Let k(f) = -1. Let v(z) be the second derivative of z**4\/6 + 2*z**2 - 8*z. Let x(n) = 4*k(n) + v(n). What is x(g(j))?\nAnswer: 968*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {m: 2, k: 4, n: 2, s: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -34, 10 in decreasing order.\nAnswer: 10, -1, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t*t\/(t*t**(3\/10))*t\/t**11*t**(-1\/8)\/t assuming t is positive.\nAnswer: t**(-417\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/((-3)\/9). What is the second derivative of 26*s**2 + 15*s**t + 0 + 0 - 16*s**2 + 34*s wrt s?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9294666*n**3 - 39385828*n wrt n?\nAnswer: -55767996*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 13*a**2 + 16*a - 35. Determine w(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/4 + j**4\/6 + j**3\/2 - 5*j**2\/2 - 18*j. What are the prime factors of k(3)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 177621383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 48 = -2*j. Suppose -j*k = -3*c + 4570 + 375, -2*c + 3298 = -3*k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 9 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0*f**3 + 0 + 0*f**2 + 9\/4*f**4 - 18*f. Let m(d) = d. Calculate u(m(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59796 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 9492*s + 38871112.\nAnswer: -4*(s - 4522)*(s + 2149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922459 is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*f - 73*f - 8*f**3 + 39*f + 4*f**2 - f**4 - 2*f**4 as u*f**4 + i + r*f**3 + g*f + y*f**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + sqrt(16) + sqrt(64)\/(sqrt(4)*-2) + sqrt(16))\/(-2*sqrt(968)))**2.\nAnswer: 25\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x - 32*x = 2*t, 0 = x - t + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(3\/4)\/((-15)\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**2\/3 + 62*f\/9 - 4\/9.\nAnswer: -2*(f - 2)*(15*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14267 or -3866589\/271?\nAnswer: -3866589\/271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 - 43 = 4*b. Suppose -19*m + b*m = 55. Solve 5*c + 0*w = -4*w - 17, -c + m = -4*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/12 - 5*r**3\/6 + 7*r**2\/2 - 3*r. What is the units digit of t(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j + 4. Let n be x(-3). Suppose -t - 6 = 2*o + 5, 5*t - 2*o + n = 0. Let i = t - -6. Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1024) - (sqrt(1024) - (sqrt(1024)*-1 + sqrt(1024))) - sqrt(144)*-3)*6)\/(sqrt(16)\/sqrt(50) + ((sqrt(72)*1 + sqrt(72))\/sqrt(9) - sqrt(8))).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5\/7 - 45*a**4\/7 + 351*a**3\/7 - 81*a**2 = 0 for a.\nAnswer: -21, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*f - 1, 5*f + 7 + 2 = 4*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x - 67*x + 132 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -17. Suppose -p = k*a - 10, -4*p + 8 - 38 = -2*a. Let l = 16 + -8. Put a, l, -4 in decreasing order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(49) + sqrt(49)*3)\/sqrt(7)) + sqrt(448) + -2 + -1.\nAnswer: -3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 101 - 2252 = 0. Suppose z = 4*s + b, 2*z - 3*z + 2358 = -5*s. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 23 = p - 6*t, -4*p - 3*t + 58 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - 3*(-679)\/21 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42121744 by -7.\nAnswer: -6017392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100001110 (base 2) to base 12.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200120020 - 21?\nAnswer: 1200112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, -5, -5.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6076)\/1302)\/((-14)\/(-120))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n**2 - 30. Let o(h) = -10*h**2 + 29. Let x(j) = -7*o(j) - 6*v(j). What is the first derivative of x(m) wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237.5 - -275. Let i = o - 33.5. What is the nearest to 0.3 in 0, 0.4, i, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58697 - 104198 = 509*p + 926*p + 13610 for p.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, o: 8, t: 5, r: 2}. What is prob of picking 1 t, 1 r, 1 u, and 1 o?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-221) - (-17898)\/(-50711)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -9. Let o = c - -3. What is the nearest to 0 in -2\/11, 3, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**9\/336 - x**5\/20 - 5*x**3\/3 + 5. Let b(r) be the third derivative of u(r). What is the second derivative of b(j) wrt j?\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/312 and 37\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -1, -37 in ascending order.\nAnswer: -37, -1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35205 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/8*2*15\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -1\/3, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-5))\/((-366)\/(-610)). Factor 0 + 0*w + 4\/3*w**2 + 2\/3*w**h.\nAnswer: 2*w**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59284, 58464, 57660, 56878, 56124, 55404, 54724?\n\"Answer: r**3 + 2*r**2 - 833*r + 60114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = -6*m. Suppose -3*h + 2*w = -2*w - 46, -69 = -5*h - w. Suppose 5*y - h = -m*l - 1, -3*l - 17 = -y. Sort y, -5, 3 in descending order.\nAnswer: y, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-522)\/(-108) - 6)\/(19*(-19)\/(-21660)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -737175\/31 + 23790. Let t = r - 11423\/1054. Calculate the common denominator of (-34)\/(-561)*246\/(-8) and t.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*p**3 + 2*h**2*p + 46*h**2 - h*p**3 + 3*h*p - 9*p**5 wrt p.\nAnswer: -12*h**2*p - 6*h*p - 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025*v - 1102*v = 1848 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**3\/3 + 9*c**2\/2 - 18*c - 14. Let j be h(3). Solve 15 + j = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**7\/525 - a**6\/6 - 191*a**5\/50 + 65*a**4\/3 - 676*a**3\/15 + 4*a**2 + 12*a. Solve c(s) = 0.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13b + -2953c?\nAnswer: -29401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110364 and 510?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300 - 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:10 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by 1.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3640\/490)\/(-52)*(-14)\/(-8)*(-876)\/(-3)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 5*s + 6. Let u be c(-5). Suppose 2*i - 3*m - 23 = 0, 2*m - 10 = 4*i - 36. Suppose i*v - 5 = 7. Solve -u*g + v*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 7. Let b be (-29 + 9)*4\/(-10). Let j be x(b). Is 1\/((-1)\/j) + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -38*a**3 + 5*a + 16. Is y(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-16 + 2 - (2 + -28 - -18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 3 - 11\/20*m**5 + 0*m**3 - 1\/4*m**4 + 0*m - 2*m**2. Let s(v) be the second derivative of a(v). Factor s(h).\nAnswer: -3*h*(11*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1955, 1954, 1953?\nAnswer: 1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-6)*l)\/l)\/(l**6*l))**(-22)\/(l*l**2*((l*l**(1\/3))\/l)\/l*(l\/(l\/(l*l**(1\/2)*l)))**15) assuming l is positive.\nAnswer: l**(1213\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*z + 123*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -20, 1, 5, -26 in decreasing order.\nAnswer: 5, 1, -4, -10, -20, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121021 - 200?\nAnswer: -121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224332770 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4006*o + 28682 wrt o.\nAnswer: 4006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 1. Let n(l) = 3*l**2 - 22*l - 26. Let r(v) = 6*i(v) - n(v). Let h be r(-10). Calculate the highest common factor of 60 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14628 (base 13) in base 15?\nAnswer: b59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202423209?\nAnswer: 7, 19, 16559573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*s + 4442 - 1814 = -2540 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.94508 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 plus 88694414094?\nAnswer: 88694414092.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i. Suppose -2 = z - i. Let b(c) = 3*c + 2. Give b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s. Let q(x) = -47*x**2 - 15*x + 10. Let k(d) = -70*d**2 - 21*d + 14. Let t(h) = 5*k(h) - 7*q(h). What is t(o(g))?\nAnswer: -189*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 784345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -2364, -4099, -5814, -7503, -9160, -10779?\nAnswer: -12354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 1536*d**2 + 143325*d - 3452638.\nAnswer: (d - 1438)*(d - 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 3 + 3 + (-99 + 160 - 104)*(2 - 4 - 13*x + 21*x) in the form w + v*x and give v.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -40. Let v be (-2)\/j - (-30)\/9. Suppose v*u = -4*r + 73, 0 = r - u - u - 32. What is the smallest common multiple of r and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-9)\/(-15))\/(3\/90) and (-266)\/(-11) - (938\/77 + -12).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:36 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.85407 centimeters in millimeters?\nAnswer: 358.5407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14377651831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -91*t + 210*t - 93*t - 28. What are the prime factors of b(9)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 + -116. Let c(n) = 44*n + 91. Is c(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.09715 - -0.09715. Which is the fourth smallest value? (a) 11 (b) m (c) -57 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7)*-4)\/(698\/(-1396))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8.5. Let b = u + 0.6. What is the nearest to b in -4, -0.4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 121\/6*v**3 + 0 + 142*v + 0*v**2. Let u(j) = -j**2. What is c(u(m))?\nAnswer: -121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.48214927 rounded to three dps?\nAnswer: 12.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -82537 (base 13) in base 2?\nAnswer: -111001000100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/12 + y**3\/2 + y**2 + y + 2. Calculate u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i. Let a be t(-1). Suppose -25 = -2*o - 3*o - 3*m, a = -2*m. Solve 3*u + r = 1, -u + 0*r = o*r - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1734450, -6937822, -15610116, -27751332, -43361470?\nAnswer: -62440530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.16823l in millilitres?\nAnswer: 17168.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 + 7*a**3\/3 - 7*a**2 - a. Let n be -6 + (261\/58)\/(1\/(-2)). Let h be x(n). Sort h, 0, -12 in descending order.\nAnswer: h, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*y - 2 = 86*y + 5*s, -2*s - 2 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 624 - 651. Let t(n) = -n**3 - 27*n**2 - 41*n - 123. What is the units digit of t(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 3, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/8))**(-25) assuming p is positive.\nAnswer: p**(-175\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 23*m - 248. What is u(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996, -990, -962, -900, -792, -626?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 21*s - 14. Calculate d(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**3 - k**2 + 2*k. Let d(s) = 23*s**3 + 2*s**2 - 5*s. Let o be (2 - 3)*-5 - (15 + -5). What is o*m(p) - 2*d(p)?\nAnswer: 9*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.4476 decades in years?\nAnswer: 1034.476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17758*k**3 + 941*k**2 + 22*k wrt k?\nAnswer: 106548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1136*n**3 - 105*n**2 wrt n.\nAnswer: -6816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*a - 112 = -22*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 3083830*n**2 - 1188755559344*n + 3566238923616.\nAnswer: -2*(n - 770956)**2*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjmhjmmymjjy. What is prob of picking 2 j?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 divided by 1.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(2))\/sqrt(9) + sqrt(77)\/(sqrt(44)\/sqrt(4)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*f - 19, 2*u = u - 3*f - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = -4*h - 2*u + 290, -5*h - 6 = -13*u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -16.4. Let g = k + -5.6. Let o = -2.99872 - g. Round o to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2241\/11 > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let p(n) be the second derivative of 7\/6*n**3 + 0*n**2 + 5*n + 0. Give p(j(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (232*n - 68*n - 103*n)*(2 - 1 + 0).\nAnswer: 61*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 17.15. Let h = 1.75 + k. Let s = -1.59999929 + h. Round s to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12001011010120 (base 3) to base 15\nAnswer: -37e0a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 43. Let v be -4*((-12)\/8)\/1 + q. Find the first derivative of 37*f**3 - 45*f**3 + 37*f**v - 27 wrt f.\nAnswer: 87*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738\/3 less than 913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and (7\/(21\/(-12)))\/((-26)\/377).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3084968 by 1542484.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*q = -42*q + 8*q + 4498 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 17 = -2*v + 1, -18 = -2*v - 4*u for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -557, -530, -483, -410, -305, -162?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2 + 86*g + 560 = 0.\nAnswer: -35, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80\/11 in -5, -0.2, -2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/3)\/x**0)**(27\/7)*(x*x**(-4)*x**(2\/13))\/((x*x\/((((x\/(x*(x\/x**2)\/x*x))\/x)\/x)\/x*x*x))\/x*x\/((x**1*x)\/x)) assuming x is positive.\nAnswer: x**(-935\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -34\/53 (b) 0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262802149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -16*f**2 - 115*f. Let s(v) = -44*v. Determine s(y(c)).\nAnswer: 704*c**2 + 5060*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(19\/4))**42\/((m**13\/m)\/(m**(-4\/17)*m)) assuming m is positive.\nAnswer: m**(6401\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26498964, -52997912, -79496860?\nAnswer: -105995808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**3 - x**3 - 5*x**2 + 2*x**3 - 2*x**3 wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*c - 2*c + 3)*(-2 + 2 + 11*c).\nAnswer: 22*c**2 - 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/3*4\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -2\/5 (b) -35 (c) -1\/4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 11*c - 24. Suppose c*h - 48 = h - s, 4*s = h - 42. Calculate the remainder when h is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3136, -3120, -3088, -3034, -2952, -2836?\n\"Answer: f**3 + 2*f**2 + 3*f - 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/69, 0.8, -2, 1, 7, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -122886 divided by 6.\nAnswer: -20481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-35)\/(v\/((v\/((v*v*v**16\/v*v*v*v)\/v))\/v))*v*v\/((v*v**24*v*v*v)\/v)*v*v*v**32)**(-37) assuming v is positive.\nAnswer: v**1702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -13593*o - 937942. What is x(-69)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 8:13 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 k when three letters picked without replacement from mmmkmmmk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -530921 (b) -4\/3 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22806419\/4 or -5701606?\nAnswer: -22806419\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2\/7 + 54*z\/7 - 135\/7 = 0. What is z?\nAnswer: 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 14. Let b be v(-4). Let m(u) = -41*u + 19. Let z be m(b). Let s = -107 - z. Does 30 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-2 - -4) - 1. Let t be -2 - (-2)\/(d + 1). Does 14 divide (2 + -1)*t*-31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/105 - (-2856)\/147?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, 1\/2, 56, -95, -1?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 46377744.18 to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 26*o - 149. Let f be t(17). Suppose -5*r = -3 - 7, 0 = -2*k + 4*r - 4. Solve 2*y + f*m = m + 3, -k*y + m = -7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 1. Let d(a) = -3*a**2 + 6*a - 24. Let k(o) = -d(o) + 2*p(o). Let z be k(9). Let n be z\/(-7)*4\/(-14). Solve -j + n = -2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.06 (b) -4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85358960 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 - 7*g - 18. Let h(a) = 2*a**2 - 4*a - 8. Let l(x) = -7*h(x) + 3*r(x). Let k(w) = -w - 18. Let y be k(-13). Give l(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.1. Let q = 0.602 + -0.102. What is the closest to y in 0.2, 6, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 82*t - 54. Let o be v(1). What is the greatest common divisor of 8582 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 6 + 11. Find the third derivative of -94*m**2 - 5*m**4 + u*m**4 - 4*m**5 + 96*m**2 wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -175002\/35 or -5001?\nAnswer: -175002\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -80*a + 643. Calculate c(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -339, -1001, -2189, -4053, -6743?\nAnswer: -10409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-164)\/14*31577\/(-9022)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*f - 27. Suppose 2 - f = -3*s. Factor 3 - 2*u**2 + 8*u**2 - 2 - 4*u + u**4 - 5*u**s + u**3.\nAnswer: (u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/10 and 61\/981.\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 q when four letters picked without replacement from {q: 2, y: 1, s: 1, z: 3, p: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 195073394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30746 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(-2)\/((-12)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-3*(4*sqrt(88) + sqrt(88)) + sqrt(88))\/(sqrt(128)*-6))**2.\nAnswer: 539\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 2*f**3 - 2*f**3)*(0*f + f - 8*f)*(22 - 14 - 19).\nAnswer: 77*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9259193 rounded to three dps?\nAnswer: 4.926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22596\/49*(-924)\/(-99). Calculate the greatest common divisor of v and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/k**(4\/11))\/k))\/k**(-12)*(k**(-5\/7))**(4\/3) assuming k is positive.\nAnswer: k**(2636\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1025*v**2 - 4785*v**3 - 2052*v**2 + 1026*v**2 in the form l*v**2 + a + k*v + q*v**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 6, 37, -4, -7 in ascending order.\nAnswer: -7, -4, 6, 37, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Suppose -h - 16 = -j*h. Suppose -1827663 + 147663 = h*p. What is p rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00338432139 to 6 decimal places.\nAnswer: -0.003384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + -2 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/105*7*(3 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 > 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*a)*(1 + 0 - 2) - 2*a - 15*a + 3*a)*((-3 - 1 + 2)*(2 - 4 + 1) + (4 + 1 - 6)*(-1 - 4 + 4) - 1 + 0 + 2 - 1 + 0 - 1 - 1 + 1 + 2).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 5*l**2 + 2*l - 5. Suppose 10*z + 23 = -17. Let o be r(z). Let -12*n + n**o - 39 + n**3 + 39 - 2*n**2 = 0. Calculate n.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*y**3 - 4 - 1 - y**2 + 5.\nAnswer: -129*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 428*p**2 + 6659*p + 6240. Give n(-443).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 * 328012.\nAnswer: -121364.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1068352254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4 - 227*h**3 + 672*h**2 = 0?\nAnswer: 0, 3, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1465\/46, 0, 31, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 660093 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 4:01 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**3 - 192*g**2 + 137*g - 3264. What is v(24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 137 + 3*c**3 + 1589 in the form h*c**2 + x*c**3 + t + j*c and give t.\nAnswer: 1726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -22.995. Is 2\/7 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120, -132, -158, -204, -276, -380, -522?\n\"Answer: -i**3 - i**2 - 2*i - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 19. Let x = 8 - s. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/6962 and 23\/472.\nAnswer: 27848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4 + 150*d**3 - 703*d**2 - 3174*d - 2320 = 0. Calculate d.\nAnswer: -2, -1, 8, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43700182, 43700188, 43700208, 43700248, 43700314?\n\"Answer: d**3 + d**2 - 4*d + 43700184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b + 576 = 42*b + 3420 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -7685.\nAnswer: 38425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366823?\nAnswer: 31, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -174414\nAnswer: 1\/58138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*f + 93*f - 38*f)*(-145*f**3 + 145*f**3 + 579*f**4 + 111*f**4).\nAnswer: 17250*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 368433 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 31*q**2 + 31*q - 82. Let y be p(-32). Let i be y\/375 + (-64)\/(-30). Solve 10*o - i = -22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**5 + a**4 - a**2 - a + 1. Let w(f) = 2*f**5 + 2*f**4 - 74*f**2 - f + 1. Let q(p) = -m(p) + w(p). Find the third derivative of q(x) wrt x.\nAnswer: 60*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 788292.\nAnswer: 3153168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, 6, 2\/3, 185, 7?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 80.2195ms?\nAnswer: 0.0802195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738 - 1837*c**2 + 937*c**2 + 782 + 914*c**2.\nAnswer: 14*c**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3 = 0, -3*k + 43*y - 23 = k + 44*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/8474893 and 83\/105?\nAnswer: 127123395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 2*b + 3*b - b. Let g(l) = l**2 + 5*l + 15. Let a(d) = d**2 + 4*d + 12. Let r(m) = -5*a(m) + 4*g(m). Give r(u(q)).\nAnswer: -144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70570936 a multiple of 1538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 5*v - 14, 3*v - 750 = 4*b - 774 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*o + 2*o = 38, -t - 3*o = -14. What is the highest common divisor of t and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*s + 57*s + 152 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -3\/19, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.8, 1\/9, -2, -0.3, 46\/109?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -65, -86, -87, -62, -5?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-8075)\/(-13) - -3 - (-4)\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.98 <= -1549668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6885145 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*m - 91*m. Let w(f) be the second derivative of 21*f + 0 + 0*f**4 + m*f**3 - 9*f**2 + 1\/6*f**6 + 0*f**5. What is the derivative of w(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2154 (base 7) in base 5?\nAnswer: -11044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r**4*r*r)\/r*r*r**(2\/9) assuming r is positive.\nAnswer: r**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 3*a**3 + 3*a**3 + (2 - 4 + 0)*(4*a**3 - 4*a**3 + a**3) - 2*a**3 - a**3 + 4*a**3 + 17*a**3 - 8*a**3 + 9*a**3.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*r - 4*p, -3*r - 13*p + 18*p + 2 = 0. Let d(g) = g**2 - 6*g + 4. Give d(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*i + 2)*(7*i**4 + 2*i**4 - 3*i - 7*i**4).\nAnswer: -12*i**5 + 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -7\/2368, -0.04778?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -32*i**5\/5 + 3*i**4\/2 - 29*i - 1039. Differentiate y(t) with respect to t.\nAnswer: -128*t**3 + 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*r**3 + r**2 - 23*r - 50*r - 33*r wrt r.\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -197 - -450. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228472*o**3 + 342313*o.\nAnswer: -1370832*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*n**3 + 3*n**2 + 33*n - 9709?\nAnswer: 45*n**2 + 6*n + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + 5. Let g(d) = d + 20. Let k be g(-13). Suppose -16 = -4*i, k = -j - 4*i + 36. Calculate the highest common factor of s and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -18085?\nAnswer: -3617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 43. Let o(u) = -u + 2. Let j(q) = -4*q + 7. Let d(y) = s*j(y) + 7*o(y). Let f(i) = 9*i**2. Determine d(f(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814*z - 814*z - 105097*z**3.\nAnswer: -105097*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4091723950.\nAnswer: 2, 5, 491, 166669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6) + 39\/6. Let h be 12\/(-21)*(-21)\/j. Suppose 6*l**h + 6*l - 9*l - 2*l**3 + 3*l = 0. What is l?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/(o\/o**2))\/(o*o**1*o*o*o)**(-40)*o\/(o*o\/o**(-1\/7))*o*o\/o**(-2\/3)*o\/(o**(-2)*o)*o**(-1\/3) assuming o is positive.\nAnswer: o**(4183\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j - 5 = 0. Suppose 0 = -j*y - 3*f + 3 - 5, 5*f = -20. Solve 0 = y*c - 3*w + 2, 3*c + 4 - 2 = 4*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/11 + 14284*d**3\/11 + 143266*d**2\/11 - 1616556*d\/11 + 1459008\/11 = 0. What is d?\nAnswer: -17, 1, 6, 7152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 1, u: 1, l: 2}. What is prob of sequence lj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2450 and 66035144.\nAnswer: 1650878600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/7)*w\/(w\/w**(-39)))\/(w**(-2\/39)\/(w*w**(19\/4)*w*w*w*w*w*w)))**42 assuming w is positive.\nAnswer: w**(-30637\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 2 + 124 + -60 + -65.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -87, -239, -461, -753?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3.8. Let k = p - -48.8. Let j = k + -49.9999946. What is j rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 148258232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**2\/2 + 2*x - 566. Let t(o) = -o - 4. Let b be t(-6). Suppose -2 = -b*l + 8. Calculate j(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 992 - 738 = 13*d, 2*s = d - 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 - 2*w + 16*w**2 + 15*w**2 + 134*w**3 + 6 - 6.\nAnswer: 134*w**3 + 12*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8358 by 6.\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 + -155. What is the least common multiple of 34 and c?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-6) + (-1)\/3. Suppose z - 27 = -r*z. Calculate the least common multiple of z and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 172014383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 + 6*a + 8. Suppose 0 = -4*b + 5 + 19. List the prime factors of y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2753 - 793 = 0. Suppose 13*b = 18*b - 8265. Let l = b - c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6066077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -911*j**4\/2 - 2002*j**3\/3 - 2697. Find the third derivative of n(z) wrt z.\nAnswer: -10932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 263?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/80 + (-26878)\/8. What is m rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 24. Let l(m) = -m**3 - 7*m**2 - 8*m - 5. Let d be l(b). Is (d\/2)\/((-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.5, 80.26, 2\/37, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -10065 in descending order.\nAnswer: 0, -1, -10065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 156576613 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2793, 2792, 2791?\n\"Answer: -q + 2794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24913*c + 23887*c + 67554*c + 20811*c - 225*c.\nAnswer: 136940*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 48?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5285 is divided by 474?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 9*s + 148 = 0. Does s = -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43485 divided by -14495\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -55*h**2. Give c(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 870524 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 4*x + 68 = 0, -2*c + 40411*x = 40415*x - 30 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.84 - -0.01. Let d = w + 58.15. Let t = d + -57.98. What is t rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 3*y**2 - 2*y - 180. Calculate o(0).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s**5 - 2*s**4 + 8712*s**3 - 50518*s**2 - 5*s wrt s?\nAnswer: 360*s**2 - 48*s + 52272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.44 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-8 + 4 + 12 + -3 + 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 - 15 = 5*y, -19 = 3*y + 2*s. Let v = y + 15. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/5 (b) -430 (c) -1505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {j: 7, w: 1, p: 5, d: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88933463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5190\/(-48440))\/((-18)\/8*3\/18)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 1, n: 2, l: 1}. What is prob of picking 1 h, 1 l, and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -542 - -1628\/3. Sort c, 0, -4, 2\/9 in ascending order.\nAnswer: -4, 0, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 14. Is s > 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000000 (base 2) in base 12?\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*l*m**3 + 29*l*m**2 + l*m - l + 4*m**3 - 32*m**2 + 12389*m + 1 wrt m?\nAnswer: 60*l*m + 58*l + 24*m - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/((-15)\/(-180))*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q + 41. Let c(i) = i + 1. Let a(f) = 18*c(f) - 2*y(f). Let k be a(16). Is k != -0.039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 35*g - 62. Let p(m) = 23*m - 41. Let c(n) = -5*j(n) + 7*p(n). Differentiate c(q) with respect to q.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -126639, -506092, -1138515, -2023908, -3162271?\n\"Answer: -126485*k**2 + 2*k - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 1482\/193?\nAnswer: 1482\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 40598*b - 637. Determine m(0).\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 51.439*19\nAnswer: 977.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by 1704381?\nAnswer: 86\/1704381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516312?\nAnswer: 2, 3, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -89b (base 12) to base 8\nAnswer: -2367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:37 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13*g**2 - 246*g - 1914. What is q(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1528793, 3057563, 4586287, 6114941, 7643501?\nAnswer: 9171943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/130269611?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-477)\/(-318))\/(66\/8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010101000 + -1011?\nAnswer: 10010010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6307 + ab8?\nAnswer: 7203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*m + 57, -3*c - c - 4*m = -148. Let i = c - -165. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001510053 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65708131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1232841570 to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x + 1. Let q(h) be the first derivative of -8*h**3\/3 - 841. Give q(i(t)).\nAnswer: -648*t**2 + 144*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*x + 11, -y - 4*x + 748 - 727 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -34*i**2 + 46*i + 156. Determine j(-4).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1813, -14695, -50039, -119197, -233521, -404363?\nAnswer: -643075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3 - 5. Let f be 45\/(-2) + -3*4\/24. Let o = n - f. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 29*g - 5. Let c(h) = 1. What is -4*c(f) - x(f)?\nAnswer: -29*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107 - (6 - 15)) + -10 + (-3 - -11 - -8).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1666225 (base 7) to base 8.\nAnswer: -713100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4306?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0407166885 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4)*((-13141492)\/(-42))\/13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -98 and 781\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 14 + 36*g to the form m*g + f and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -296*n**3 + 2*n - 6. Let k(y) = -593*y**3 + 5*y - 14. What is 2*k(g) - 5*m(g)?\nAnswer: 294*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617) + sqrt(1617)*-2)\/(sqrt(1152)\/sqrt(6)).\nAnswer: -7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10)*(-3 + 9)\/(-2)*(-59540)\/1374?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**5 - 4*t**3 + 4*t**3 + t**5 - 4*t**5 + 4*t**5 + (-2*t**5 + 3*t**5 - 3*t**5)*(-4 + 3 + 0) + 3*t**5 + 2*t**5 - 4*t**5.\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + (27 - 33) - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*j = 7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 315\/21*(-4 + (-310)\/(-175) - 9\/(-21))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012 + -1?\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:42 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 68. Let t(u) = u + 33. Calculate -3*l(c) - 7*t(c).\nAnswer: 2*c - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*l - 14 + 89*l + 87*l - 1 as u + o*l and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + 171. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 9:39 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*r - 126*r. Which is bigger: r or -134?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/51326*1\/(-3). Let w be (-62 + 57 - 2697776\/(-638))\/(-2333). Let k = p + w. Calculate the common denominator of k and -79\/12.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15 - 21 + 33 - d. Give v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b + 1. Let x(d) = 1 - d**2 - 5*d - d + 6*d. Suppose 5*a = 3*l + 22, -30 = -3*a + 3*l - 12. Give a*x(w) - 2*v(w).\nAnswer: -2*w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppppppipppp. Give prob of picking 4 p.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -781355*-52\nAnswer: 40630460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -0.05526141?\nAnswer: -0.35526141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -21 + (-216)\/(-6) + 18619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -1.1, -3\/7.\nAnswer: -8, -1.1, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/12 + d**3\/6 + 5*d**2\/2 + 8*d. Let q be s(3). Sort -2, q, -5.\nAnswer: -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 9\/18*5826. What is the highest common divisor of z and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 14, i: 4}. Give prob of sequence ggi.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -873, -1439, -2005, -2571?\n\"Answer: -566*g - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 13*g + 24. Give z(-7).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 204?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 + 212?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 19*o - 31. Suppose -2*i - 2*i + 8 = 0. Let b(f) = -39*f + 63. Let r(u) = i*b(u) + 5*a(u). What is the derivative of r(m) wrt m?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -2*k**5\/5 + 13*k**4\/2 - 80*k**3\/3 + 36*k**2 + 34. Factor i(b).\nAnswer: -2*b*(b - 9)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1305 divided by 3.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 4 + -1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25731 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 150 = -198 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17637576 divided by 8.\nAnswer: -2204697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0.05, -21 in increasing order.\nAnswer: -21, 0.05, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988*o + 4*r = 983*o + 578, 2*o - 2*r = 206. Which is greater: o or 85?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.66 - -6.66. What is the closest to -3 in 1.1, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 24*t - 16. Let a be v(12). Let c be (-3 - 150\/(-40))*a\/(-3). Solve -c*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 10*h - 29. Let f be s(-13). Is f bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 8*i + 10. Let m(x) = 2*x**3 - 3*x**2 + 4*x - 7. Let v be m(2). Suppose 3*c + 6*n = 2*n + 39, -4*c + v*n + 21 = 0. Calculate d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -206*o**3 - 2*o**2 - o. Let y be a(-1). Suppose -5*f + 9 = -3*i, 5*f + i + 7 = 8*f. Suppose -y = f*s - 8*s. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/(2\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*j**3 - 6732*j**2 + 3165*j + 3366 = 0. What is j?\nAnswer: -34\/67, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5 - 6701*z**4 - 11275987*z**3 - 167955599*z**2 - 536003248*z + 715241536 = 0.\nAnswer: -3343, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n - 44 + 44.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19 = -l, 5*l + n = 16 + 111. Let z be 3\/21*l + -4. Is -1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-3 + 11)) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w + 24. Let f(c) = -c**3 + 9*c**2 - 6*c + 1. Is 13 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (-28 - -81) - -33.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*r - j, 3*j = r - 3*r + 7. Let h = -5.08 - -0.08. Sort 0, r, h.\nAnswer: h, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 11*t + 25. Suppose -12*j + 9*j = -15. Let g be f(j). Let q = 7.1 - 1.1. Which is the closest to q? (a) -3 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 29*y - 37*y. Let k be 1\/(-2)*1*12. Is 9 a factor of (-63)\/k*(-1 + y - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-273))\/(6\/(-26))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1442, 1392, 1336, 1274, 1206, 1132, 1052?\n\"Answer: -3*x**2 - 41*x + 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.1 + 11.7. Let p = t + -6.6. Is p at least as big as 0.175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14742935.\nAnswer: 5, 2948587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/3 - (-18)\/(-27). Suppose 20 + 12 = m*b. What is the remainder when 48 is divided by b + -3 + 0 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 465 = -g - 109, -g = -2*i + 141. Suppose -13*u = -i - 7. Let j be -2 - -6 - u\/(-33)*-23. Which is the closest to -2\/19? (a) -1 (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 6*d + 0*d)*(0 + 2*d**2 + 0 + (-1 - 2*d + 1)*(7*d - 3*d - 2*d)).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.1, -9, -5, -1\/2, 34?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -t - 9, -3*z - 2*z = 25. Suppose 0 = 5*q + 4*s - 34, -q - q - s + t = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10736)\/(-5856))\/((-4)\/(-6))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*(-4)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -153 and 45499.9?\nAnswer: -6961484.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15210*v**4 + 91255*v**3 + 121650*v**2 - 40*v = 0 for v.\nAnswer: -4, -2, 0, 1\/3042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q + 319. Let a(i) = 3*i**2 + i. What is t(a(k))?\nAnswer: -30*k**2 - 10*k + 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2. Let f(w) = -w**2 - 329. Give p(f(s)).\nAnswer: -3*s**4 - 1974*s**2 - 324723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2454.8 + -1796. What is r rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894*q + 71*q + 48180 = -130*q for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 1 (c) 0 (d) -269 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let c(v) = 226*v. Let w(a) = 457*a. Let g(y) = -11*c(y) + 6*w(y). Determine s(g(k)).\nAnswer: 65536*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -275 (b) -0.02 (c) -2\/7 (d) -6 (e) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 1. Let i(l) = -3*l**2 - 7. Let y(x) = -2*i(x) - 14*r(x). Let a = -1117 + 2021. Let p(f) = -904 + a + f**2. Give p(y(b)).\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 2, k: 4, t: 1, y: 2}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3033 is divided by 1007.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01311 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 13129*b + 26268*b - 13179*b.\nAnswer: -2*b**2 - 40*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 7:49 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63 + -6 + (0 - -2)*1. Let o = 68 - c. Let p be 0 - ((-3)\/o)\/(6\/27). What is the third smallest value in p, 1, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f**2 + 45288249*f + 11322063 = 0. What is f?\nAnswer: -1\/4, 3774021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 11*u. Let w(j) be the first derivative of 16 - 31 - 2*j + j**2 + 2*j. Determine w(q(n)).\nAnswer: -2*n**2 + 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/28 - 19\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2430*n**4 + 3*n - 141148?\nAnswer: -9720*n**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-146)\/10 - (-4)\/(-10). Let w = 0 - f. Solve 5*q = 2*q - w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 + 21 = 0. Suppose -5*l - 12 = -k*l. Let w(v) = v**2 - l*v**2 + 5*v - 5*v. Calculate w(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -63.3. Let m = 4 - z. What is the nearest to 2\/5 in -1\/4, m, 1\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/9)\/(8\/9084) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**5 + 45*f**4\/4 + 5*f**3 - 145*f**2\/2 + 90*f + 809. Let l(p) = 0. What is p?\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4372 + 6026. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o + 62. Let p be a(-6). What is the highest common divisor of p and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*i - 3234 - 644 = 0, 0 = -5*x - 4*i + 4815. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.11 - 0.11. Let c = -62 + 247\/4. Put c, y, -1\/6 in increasing order.\nAnswer: c, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(165))\/sqrt(3))\/(-2*sqrt(396) + sqrt(11)).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 739821750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r**2. Let s(t) be the second derivative of -83*t**4\/6 + 1452*t. Calculate s(j(w)).\nAnswer: -16600*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -22*o**3 + 3*o**2 - 2*o + 3. Let n be g(2). Let q = -117 - n. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-15))\/((-21)\/(-15))*(-180)\/120. Factor 12\/7*i - 20\/7*i**2 + v*i**4 + 0 + 4\/7*i**3.\nAnswer: 4*i*(i - 1)**2*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3273590?\nAnswer: 2, 5, 23, 43, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5 times -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*y - 6*y - 4697 + 4277 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -3\/2*g**2 + 0*g + 37. Let u(z) = 14*z**2. What is n(u(f))?\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(k - 4*k + 5*k)*(-k**3 + 3*k**3 + 7*k**3).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 - c. Calculate w(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r - 1. Let i be z(4). Suppose 6 = 3*k - 0*k. Suppose 3*u + k = i. Solve 4*c = 5*c - u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60944.\nAnswer: 2, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2337546?\nAnswer: 2337546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*p - 20. Let f be 80\/(-144)*p\/(-10). Let y be ((-2)\/3)\/(4\/(-6)). Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 530696 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -976, -2052, -3150, -4282, -5460, -6696?\nAnswer: -8002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a*d*j - 52*a*j*l + 8*a*j - 3*d*j*l - d*j wrt l?\nAnswer: -52*a*j - 3*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4920 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14855 - 14838. Which is smaller: f or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 2264398 - 2264378 - 23*z.\nAnswer: -32*z + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 17*m - 4490 - 6710 = 0. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 233529.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3078)\/(-126) - 6\/14. Suppose 0 + t = 2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/2 + 237\/6 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let h(c) = c**2 + 10*c + 2. Suppose -7*d = -11*d + 4. Let a(v) = d*h(v) - o(v). Let r be a(-9). Solve -3*f - 3*s + r = f, -4 = f + 3*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93913481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/(-87)*(-6)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22 + (-18)\/3)*2. What is the tens digit of 0 - (212\/(-6))\/(c\/528)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 - 100*o**3 - 408*o - 500*o**4 + 1260*o**2 - 172*o - 392*o = 0. What is o?\nAnswer: -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*y + l = -64*y - 16442, -5*y + 20552 = -l. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -941 - -949. What is the remainder when 76 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/3 + 1 - 52*(-91)\/156. Calculate the greatest common factor of s and 8570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:53 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*u**3 + 37*u + 30*u - 67*u.\nAnswer: 88*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 28 = 2*v - 34, 6 = 2*v + 5*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w + u = 496, 5*w - 836 = -4*u. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(25\/75).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -4 - (4 - 198\/24). Sort o, 0.7, 3\/11, -3 in decreasing order.\nAnswer: 0.7, 3\/11, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4952 + -4951. Solve -3*d = 4*p + 2 + m, 4*d - 5*p = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9667 + 48334\/5. Which is the smallest value? (a) 4 (b) o (c) -541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41798 + 41748.979. Let n = r + 49. Let f = n - -19.021. Is 0.1 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**2 + 12*u + 4. Let o be r(5). Suppose -w + 55 = -o. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 55*a - 156 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 67971*y**2 + 271897*y + 203925.\nAnswer: -(y - 67975)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 3*b**3 - 3*b**3 + 2*b**3.\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 65, 1\/87, 2, -4?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + f + 7. Suppose -8*d - 10 = -6*d. What is the units digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -3221412210?\nAnswer: -3221412204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.93 - 1.23. What is the fourth biggest value in -3, 15\/2, 2\/11, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.034 - 48927.\nAnswer: -48924.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*r - 3544*r**3 + 1770*r**3 + 1773*r**3 + 2 to p*r**2 + l + i*r + u*r**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*k - 479*k - 3 + 136*k**3 + 122*k.\nAnswer: 136*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -62\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -3. Suppose -t*z + 4 = -3*k - 2*z, 3*k = -z - 10. Which is the smallest value? (a) -2\/7 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251244 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (5 - (-4)\/(-1)). Let t be h + (-6)\/1 + 5. Let k(s) = 11*s**2 + 2*s - 1. Give k(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17)\/(b\/(b*b*b**(-18))))\/(b**(-4\/5)\/(b**(4\/9)\/b*b)) assuming b is positive.\nAnswer: b**(-1474\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5. Let s be (-2)\/(-1)*m\/6. What is the third biggest value in s, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 2. Let a = 6 - 4. Let s be j(a). Solve -3*v = -s - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2171 and 1316 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a02 (base 11) in base 10?\nAnswer: 26501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -7*g**4\/18 - 5*g**3\/9 + 2*g**2\/3 + 12*g. Let d(n) = 0. Calculate n.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let m be (-248)\/(-224) - y\/(-8). Determine h, given that 2\/7*h**3 - 6\/7*h**2 + m*h - 2\/7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let s be -3 - i\/((-1)\/6). Solve 4*p - 7 = h, s*p + 0*h + 4*h = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 31 - 145. Suppose -3*r - 3*y = 137 + 40, y = r + 55. Let v = r - n. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 13*j - 5*d + 14 + 1 = 6*j, 2*d = 3*j + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*6933.\nAnswer: -2773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -3, 50, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 + 5314?\nAnswer: 5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**9*s)\/s)**(-37) assuming s is positive.\nAnswer: s**(-370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - s + 17*s**2 + 146 - 146 in the form m*s + w + c*s**2 + f*s**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -3. Let h(b) be the third derivative of -5*b**4\/12 + 7*b**3\/6 + 17*b**2. What is the remainder when h(-5) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnc when three letters picked without replacement from {n: 3, c: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42894, -85779, -128632, -171441, -214194?\nAnswer: -256879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 n when three letters picked without replacement from uyppupunynppnuu?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 340*v**3 - 14*v - 14. Let x(d) = -113*d**3 + 5*d + 5. What is 5*c(y) + 14*x(y)?\nAnswer: 118*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = j - 5, -3*j - 17 = -5*m - 7*j. What is the derivative of -m - 3 + 3*v**4 + 2 + 5 wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498922 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 2*q**2 + 6*q - 5. Let p be h(3). Suppose -k + 5*j = k - 253, -j = p*k - 495. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -278, -591, -1018, -1553, -2190, -2923?\nAnswer: -3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 3. Let m(k) = 2*k + 5. Let f(v) = -5*l(v) + 3*m(v). Let z(j) = j**2. Calculate f(z(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*((3 + 1 - 5)*(-2*m + 5*m - 4*m) + 2*m + 0*m + 3*m)*(-2*m**2 + 5 - 5).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 64*g\/9 - 512\/9.\nAnswer: -2*(g - 16)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 7 = -2*h. Let x = h - 9. Suppose 4*z = 2*b - 44, x*b - b = -4*z - 30. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131.4 times -175222\nAnswer: -23024170.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 36*b - 1. Let c(a) = 72*a - 2. Calculate 6*c(g) - 11*x(g).\nAnswer: 36*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 3*m - 9 + (-1 - 3 + 6)*(3*m - 3*m - 2*m) + 3 + 2*m - 3)*(130 + 111 - 68)*(3 + 1 - 6) in the form q*m + z and give q.\nAnswer: 1730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 35 (b) -6 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:00 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 = o - 8, -4*o + 5 = -i. Let v(s) = 10 + o - s - 2. Let w be v(7). Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 7*f = -0*f - 34. Solve -5*w + 12 + 11 = f*l, l = 2*w - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.540001042 - 8.54. What is y rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28324902 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1 (b) -4 (c) 2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 766 = 384. Suppose -u - 4*u = -m. Calculate the greatest common divisor of u and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33410 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368569968 divided by -6.\nAnswer: 61428328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2 - 4. Let r be 5\/3 - (-2)\/6. Suppose -4*c + 70 = -3*h, 2 = -3*c + r*h + 54. What is the smallest common multiple of c and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 divided by 6.\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*v + 2, -10 = -k - 4*v + 8. Sort 0, k, -4.\nAnswer: -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 411 (base 9) to base 15\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 3*a**2 - 4*a - 2. What is h(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4 (b) 5 (c) 1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 127.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3980 and 1784632?\nAnswer: 8923160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1072 - 68. Let p = c + -564. What is the remainder when p is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -440.8 and -2.\nAnswer: 881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4\/19 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22263 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(8\/5)*q\/q**1)**(18\/7))**(1\/11) assuming q is positive.\nAnswer: q**(144\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.93 - 0.03. Let r = 5 - x. Is -1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 2. Calculate t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -k - 39. Suppose 3*i - f = 2*f + 30, -f = -3*i + k. What is the second derivative of -68*z**5 + 27*z**5 + 31*z**i - 2*z + z wrt z?\nAnswer: -200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - (-6)\/(-8). Let g be (-17)\/(-15) - (q - -2). Let w = -15.7 + 15.9. What is the biggest value in w, g, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from cmchmmacch.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90565029?\nAnswer: 3, 1097, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*f + 167*f - 295*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/1)\/36)\/((-1)\/(-1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-14)*-3*73\/(9636\/(-22))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405 (base 7) to base 12.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489 = -617*h - 32212 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 3, n: 3, m: 3, t: 6, l: 1}. Give prob of sequence ldl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 12. Let i be s(7). Solve -5*m + i*u - 30 = 0, 4*u - 4 = -2*m + 2*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/126)\/((-22)\/231*87).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277901 = -4*n - r, -4*n - 5*r - 24754 = -302643. List the prime factors of n.\nAnswer: 2, 11, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8092 + 32211\/4. Let j = 40 + u. Sort -1, -1.3, j in ascending order.\nAnswer: -1.3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**5\/60 - 2*n**2. Let b(y) be the first derivative of -2*y**2 - 4. Determine b(r(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, -102, -283, -526, -825?\n\"Answer: d**3 - 40*d**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*t = 4, -t = -2*d + 43 - 7. Let a be (-4)\/d + (-11)\/(-44). Solve 2*s = 2*k - 2*s - 14, a = -s - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -7, -3 in increasing order.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0*r**4 + 0*r**2 + 1\/9*r**3 + 0 - 1\/120*r**5 - 2*r. Factor a(x).\nAnswer: -x*(x - 2)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 9 - 2 = -5*w, -5*v + 22 = -4*w. Factor -2*o**3 - 6*o**4 + o**5 - 3*o**5 + v*o**4.\nAnswer: -2*o**3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*24*(-10)\/210.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 1 = c - 16, 2*c = 5*s + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/9054 and 91\/108504142?\nAnswer: 976537278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(104) - -2*sqrt(104)) + -2*(sqrt(104) - 1*sqrt(104)))\/(3*-2*sqrt(8) - (sqrt(48)*-1)\/sqrt(6)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqycqz. Give prob of picking 2 c and 1 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 5. Let n(g) = 22*g - 16. Let m(w) = 16*b(w) + 5*n(w). Let t(o) = 17 - 2*o - 17. Give m(t(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2907*g - 29430. What is h(-10)?\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6913 = 747*c - 190 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (12 + 4)) + 1. Suppose 21 = 6*s + 75. Put v, -3, s in decreasing order.\nAnswer: -3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -480458 (base 12) to base 2\nAnswer: -100011011101010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/91 - (-10 - -3199*(-14)\/1274).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1146706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2643835370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5617\/5 - -1125. Let 2\/5*v**2 + i - 2*v = 0. Calculate v.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1082+-0.285\nAnswer: -0.1768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*t - 7*t. Suppose -3*g - 2624 = -44*g. Suppose -950 + 7094 = g*y. What is the highest common divisor of t and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 374 + -362. Solve -4*z + 8 + v = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k, -6*m - 5*k = -m - 45. Suppose -9*h + m = -10. Let o = 46 - h. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - z)*(-2 + 2 + 2)*(2*z - 23*z - 3*z).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 2, p: 1, m: 1, q: 2, w: 1}. What is prob of sequence pm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 - -0.27864. What is p rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-3))\/((-23670)\/(-270) + -91)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 3*(-4)\/6. Suppose -18 = -n*l + l. Suppose r = 4*j + l + 16, -r + 22 = -j. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*h = 0, 0*s = 6*s - 3*s + 5*h - 26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*n = -a - 178, -224 = -5*a + n. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -14*c**2 - 179*c + 2997. Determine r(10).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -18 + 23 - -22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97964226.\nAnswer: 2, 3, 5442457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62221 and -0.5?\nAnswer: 62221.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68, -67, -68, -71, -76, -83, -92?\n\"Answer: -w**2 + 4*w - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26518*b = 26528*b + 4*t - 60, 3*b - 2*t = 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1334, -2671, -4008, -5345?\nAnswer: -6682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10578 divided by -2?\nAnswer: -5289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/(-27) + 2\/9. Let a be (c - 12\/2)\/(-2). Suppose a*k = 44 + 12. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2298, 4553, 6786, 8991, 11162, 13293?\n\"Answer: -l**3 - 5*l**2 + 2277*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1506 + 1476 = -5*r, -22 = -3*p - 4*r. Let i be (4\/(-6))\/((-6)\/(-9)). Put 3, p, i, 5 in descending order.\nAnswer: 5, 3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2129883*j**3 + 7695833*j**3 + 8829920*j**3.\nAnswer: 14395870*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26055, -26665, -27681, -29103, -30931, -33165, -35805?\nAnswer: -38851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -187, -16, 133, 260, 365?\n\"Answer: -11*r**2 + 204*r - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3113 + 3221. What is the highest common divisor of f and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 + 205199580*o\/7 + 10526716908044100\/7.\nAnswer: (o + 102599790)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 20 + 20 + 3*z**2 - 38 + 7*z. Let o be b(2). Suppose -26*c = -o*c + 324. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 - 2*t - 1. Let j be n(-1). Suppose -12 = -j*w + 18. What is the remainder when 23 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255032 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 211\/3. What is the third smallest value in h, 0.2, 2\/21, 0.05?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*b + 790, 4*z = -b + 387 + 402. Let f = -305 - -512. Factor 15 - 2*r**2 + z*r + 0*r**2 - f*r - 3*r**2.\nAnswer: -5*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1566*s**2 - 2 + 1571*s**2 as n*s + h + o*s**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 2*d + 3. Let b be m(-2). Let t = b + 5. Which is bigger: 0.2 or t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 441 + -440.9. Sort 15, -2.2, l in descending order.\nAnswer: 15, l, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2\/11, 5 in decreasing order.\nAnswer: 5, 1\/2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13246497*o - 3823385.\nAnswer: 13246497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 21. Calculate the remainder when 70 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 4:35 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*b**2 - 634*b?\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 84*s + 1015. What is n(-56)?\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*p - 12*p = 51*p + 41*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*162\/(-35532)*-47?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 27 and 137034.8128039.\nAnswer: 137061.8128039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a millisecond in microseconds?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039893 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12a44 (base 15) to base 7\nAnswer: -336010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12296, -24729, -37162, -49595, -62028?\nAnswer: -74461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:13 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11705 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 + 319 = 560*y - 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(931)*2 - sqrt(931)).\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -33, -50?\n\"Answer: -17*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26776728 and -0.4.\nAnswer: 10710691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-4)*2*7458\/(-99) is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3370 by 10.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w - 2 - 2*w**2 - 6*w + 4*w + w**2. Let k = -8316 + 8313. Determine q(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 0, -3 in descending order.\nAnswer: 6, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 968561, 3874244, 8717049, 15496976, 24214025?\n\"Answer: 968561*d**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + c - 52. Let d(f) = 3*f**3 + 18*f**2 + 4*f - 1. Let g(r) = r**3 + 6*r**2 + r. Let b = 5 - 1. Let p(w) = b*d(w) - 11*g(w). Calculate p(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1548435, 3096867, 4645309, 6193761, 7742223, 9290695?\nAnswer: 10839177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 3 - 1)*(70 - 70 + 36*a**2)*(a + a + 0 + 1) to the form j*a + h*a**3 + q + n*a**2 and give n.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 314042 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*c, -p = 3*c - 1. Let h be 4*-3 - (-1)\/p. Let u(b) = 15*b + 11. Let a(r) = 8*r + 6. What is h*a(v) + 6*u(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36014 + -5?\nAnswer: 3600b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63365 divided by 6?\nAnswer: 63365\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -1 (c) 2\/7 (d) 1788698 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 90*p**3 - 100*p**2 - 3*p. Let w(m) = -179*m**3 + 196*m**2 + 5*m. Let y(x) = 5*h(x) + 3*w(x). What is the third derivative of y(f) wrt f?\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 3*g - 11 + 13. Let k be j(-4). Let i = 23563.95 + -23564. Which is the smallest value? (a) -5 (b) 5 (c) i (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 1) + (-30 - -28)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(200) + (sqrt(64)\/sqrt(8) + 3)**2.\nAnswer: 17 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 436 - 228. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1033564 and 3395996.\nAnswer: 23771972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3201 + -332?\nAnswer: -3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 7 = 4*q, 4*q - 9 = k. Solve q*g + 1 - 5 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1901*g = -190*g - 56463 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 1, i: 1, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201444433 (base 5) to base 4.\nAnswer: 3012113031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7880 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 3 + -4 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/18)\/((-4)\/18). Suppose -4*q + u = -3*u + 52, -12 = -f*u. Is (-1037)\/q - 10\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 - 11*l - 3. Suppose -4*f - 102 = -90. Let v be j(f). Let k(o) = 4*o - 3. What is k(v)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 531*h. Let y(v) = -6*v + 10. Let w(n) = 2*n - 4. Let r(g) = -5*w(g) - 2*y(g). Calculate q(r(z)).\nAnswer: 4*z**2 + 1062*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**2*x*z - 12*r**2*x + 367*r*x*z - x wrt z.\nAnswer: 2*r**2*x + 367*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*t + c, 9*c + 109 - 71 = 5*t. Solve t*m = 4*k + 24, -3*m + 9 = -k - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000111011101 (base 2) to base 9.\nAnswer: 18453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 292921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/30 - 2\/(6\/(-47)). Let x = z - 16. Solve 2*u + 3*u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 10*s**2 + 9*s - 17. Let b be u(11). What is the lowest common multiple of ((-2)\/6)\/((-26)\/b)*-16 and 6 + 2 + (-1 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14 - 19) + 4)*-7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r**2*r)))*r\/r**(-1))\/(r**(-6\/13)\/((r*r**(-3\/4))\/r)) assuming r is positive.\nAnswer: r**(-15\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 133060, 266103, 399146, 532189?\n\"Answer: 133043*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrqs when four letters picked without replacement from qqseqqeqkr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 9 + 7. Suppose -5*b - 3*p + 196 = -p, 0 = -m*b + 5*p + 61. Let v = 49 - b. What is the greatest common factor of 121 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1123 - 1121. Put -1, 3, b, 4 in decreasing order.\nAnswer: 4, 3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieipppppxeiiipiif. What is prob of sequence pipf?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 80*p = -75*p - 17 - 52, -196 = -29*p + 181 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4162287972284913 - 10805299204237216561\/2596. Let t = 143225888 - v. Let r = t + 2\/649. Find the common denominator of r and 145\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 19 = 5*c - 2*i, -c + 5 = -5*i. Let q = c - -10. Let y(d) = 5*d**3 + d**2 - 1. Let l be y(1). Solve -n + 5 = 0, -17 = b - q*n + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -149 - 673*h**2 + 149 as a + i*h**2 + o*h and give i.\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 14833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*b + 5*b = -9, 0 = -4*l - b - 21. Let d(r) = r**2. What are the prime factors of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 642663\/13 or -12?\nAnswer: 642663\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35998, 3, -288.\nAnswer: -35998, -288, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + 0*z)*(-1 + 2 + 1)*(920 - 920 + 75*z + 0*z - 2*z + 0*z + (0 - z + 0)*(-1 - 3 - 1)).\nAnswer: -468*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.4867 - 99635655.\nAnswer: -99635651.5133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -622.27 to the nearest ten.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 64, 6.915, 0.3, -0.3 in decreasing order.\nAnswer: 64, 6.915, 0.5, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/18 - -1)\/((-2)\/96). Calculate the highest common factor of 104 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11248 and 3253484.\nAnswer: 13013936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/30)\/((-1239)\/531)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1878595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2201430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 27*s + 1. Suppose -2*f = s*f - 63. Solve -2*u = -f*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -12*r - 234 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -3 (c) 1591 (d) -4\/21 (e) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 7*b**4\/24 - 41*b**3\/3 - 2*b**2 + 70. List the prime factors of v(28).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14057655 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 - 1 = -3. Sort 8, -2, d, -12, 0 in ascending order.\nAnswer: -12, d, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27573 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030406.893 minus -0.2?\nAnswer: 3030407.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/5)\/(u\/(u*u\/(u*u**(-5))*u*u)))\/(u\/u**(-3\/7)*u**(-1\/4)*u))\/(u\/(u*u\/(u*u**(-2)*u*u)*u)*u**(-4)*(u**0\/u)**(-48)) assuming u is positive.\nAnswer: u**(-5261\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 192*g - 5206. Calculate t(118).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 789*c. Let l be f(-2). Let t(r) = -34*r**3 - 3*r**2 + 5*r - 3. Let b be t(1). Let g = b - l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2571*q - 78503 = -136*q for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1 in descending order.\nAnswer: 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-72)\/30)\/((-2)\/(-10)). Let h = b - -7. What is the second smallest value in 3\/4, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312244000 rounded to the nearest 1000000?\nAnswer: 312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94, 176, 258, 340?\n\"Answer: 82*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -110768.8 and 84985.\nAnswer: -25783.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 47*a**3\/3 - 2483*a**2\/2 + 8077*a. What is the first derivative of p(n) wrt n?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*w = 246*w - 975240. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = -504. Let x = n + -76. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 9*q - 32. Let d be k(-12). Suppose 3*a + d*a - 1239 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 14 (c) 2\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoqhohqoqqolohqqqq. Give prob of sequence oq.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 4133 - 1548 = 0. What is the remainder when w is divided by 113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -0.7, -77?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3 + 20. Let c = u - -26. Solve -22 = 5*d + x, 0 = -5*d - 2*x + c*x - 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 11:27 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 245?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 734975.5m?\nAnswer: 734975500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 5:38 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 22*c**2 - c. Let i(w) be the second derivative of -w**3\/6 - 260*w. Calculate i(b(l)).\nAnswer: -22*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/16 and -61\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/51, 0.0011, -5?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -196*b - 6484. Give t(-33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/10 - -3\/10. Let q = -17090 - -222050\/13. Let y = 1294\/143 + q. Which is the third smallest value? (a) t (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.03746 and 32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/75, 2, -0.41, 4\/79 in decreasing order.\nAnswer: 2, 4\/79, 1\/75, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1100837880, 1100837881, 1100837882, 1100837883, 1100837884?\nAnswer: 1100837885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1795 + 1792. Which is the biggest value? (a) -4 (b) 29\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35630*k**2*n**5 - 34700*k**2 + 8*k*n**5 + 2*k - 10*n**2 wrt n?\nAnswer: 2137800*k**2*n**2 + 480*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4278282316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 27 - 27 = 0. Solve -6*w + 39 - 15 = a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**4\/12 - 5*k**3\/6 - 8*k**2. Let t be w(4). Let h(a) = 9*a**2 - 9*a - 1. What is the remainder when h(t) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2707*305\nAnswer: -825635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/13, -12, -1\/25 in ascending order.\nAnswer: -12, -1\/4, -2\/13, -1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Solve 2*m - 7*o = -2*o + 19, -2*o = -x*m + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2688 - 20062 = -10*z. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2937*f**2 - 3593*f - 2 - 52*f + 2 wrt f.\nAnswer: -5874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63450 divided by 12690.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let w(f) = -f - 782. What is w(y(d))?\nAnswer: -d - 782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 664 - 706. Let a = 96 + n. Calculate the least common multiple of a and 7.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.631 + 0.369. What is the nearest to -0.2 in -1\/3, 1\/9, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -570611 in increasing order.\nAnswer: -570611, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69\/(-7) - (-760)\/(-665). Is v less than -1\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032608671 - -5?\nAnswer: 5.032608671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.5 + -48.3. Let z = t - -40. What is the nearest to z in -4, 2\/7, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 - 5*-1. Let x(b) = s - b - 3. Let a(j) = 2*j + 3 - 3. Calculate x(a(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -2\/9 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 - 12) - (-29 + 29 - (12 + -1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 + 0.28995. What is b rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -1\/3*y**3 + y**2 - y - 6 - 7\/4*y**4. Give j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*r + 45, -3158*r = -s - 3161*r + 65 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 5*l - 5*l**3 - 5*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.2 (c) 0.3 (d) 7\/116 (e) 1 (f) 2 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-2 - 10))*1. Suppose -3*n + r = -3. Let k(y) = 2*y - 4. What are the prime factors of k(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*m = 16, 0 = -8*m + 3*m. Suppose 0 = 2*o - 3*o + 4. Let t be 2\/(-13)*a\/o. What is the second smallest value in -5, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/4038 and 65\/36?\nAnswer: 24228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + -3 + 22 + -3 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:31 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 9. Let f be d(6). Suppose 0 = -f*o - 0*o + 6. Find the second derivative of 3*h**o - 4*h + 2*h**2 - 4*h wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 137?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 280251 * -0.1\nAnswer: -28025.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 18 = 10*w - 19 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*o - 10. Let d be -3*(-1 + o\/(-6)). Find the first derivative of 4*n - d*n - 2 + n**2 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -3 (c) 32 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 8*k - 19. Let v be o(-10). Let l be v + (2 - 3) + 4. Suppose -s + 30 = -3*h, -l*h = -5*s - 2*h + 189. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18935 and 7574?\nAnswer: 37870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496674 > 4496674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53 + -1126?\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1133 divided by 3122.\nAnswer: -1133\/3122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, 3252 in decreasing order.\nAnswer: 3252, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (-5 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18662450 - -3?\nAnswer: -18662447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**3 - 10*b**2 - 10*b + 10. Let l(d) = d**3 + d**2 + d - 1. Let n be 7 - (0 + 0 - 3). Calculate n*l(m) + a(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 23129168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9133\/1218 - 1\/609. Suppose -2*w - 21 = -n, 12 = 4*n - 0. Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5854 times 1.7256?\nAnswer: -1.01016624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r. Let s(f) = 5*f**2 + 2*f**2 - 9*f**2. Determine s(j(v)).\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*k + 16, a - 4*k = 2*a + 15. Let h(o) = 3*o + 1. Calculate the smallest common multiple of h(a) and 1\/(((-15)\/(-24))\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 68. Suppose l*a + 4*t - 13 = 3*a, -5*a - 15 = -5*t. Let o(j) = -20*j**3 - j**2. Give o(a).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -3. Let u = 3 + k. Let y(h) = 1521*h + 26. Let o(v) = 1268*v + 23. Let a(d) = -6*o(d) + 5*y(d). Give a(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-4)\/24)\/(48\/(-4104)*57)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13234221 * 0.12.\nAnswer: 1588106.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (2*(-1 + 2 + sqrt(637) + 0 + sqrt(637)))**2).\nAnswer: 224*sqrt(13) + 20382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 320\/2313?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -48.59 - 863177\nAnswer: -863225.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-6 - ((-4 - -34) + -7))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + -62. Let p = -853\/8 - o. Calculate the common denominator of p and 7*((-28)\/(-10) - 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -194*q + 4212. Let p(s) = -35*s + 842. Calculate 11*p(i) - 2*w(i).\nAnswer: 3*i + 838","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t**3 - 1)*(3 + 1 - 2)*(111 - 95 - 75).\nAnswer: -118*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*q = -0*q - 106, -g - 2*q = -21. Let h(y) = -23*y + 45*y - g*y. Let m(b) = b**2. Determine h(m(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 - 59 - 12*j in the form f + b*j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13 - 108\/26?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.7. Let f = 0 - y. Which is the closest to -1? (a) -1\/5 (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 4*v = -u - 3, -u + 2*v = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) 5\/4 (c) 0.749 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a508 (base 11) to base 9.\nAnswer: 21080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 + 0.24. Let j = -0.00000064 + v. What is j rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -17*c**2 - 2. Let l(q) = 21*q. What is l(k(d))?\nAnswer: -357*d**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppppf. Give prob of sequence pf.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 4\/226994557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55606721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 60 = -86*r + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/72456 and 1\/26?\nAnswer: 941928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 4:12 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 8. Let h(m) = m + 8. Let b(t) = 5*h(t) - 4*q(t). Let l be b(4). Which is bigger: 11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116759559.\nAnswer: 3, 7, 5559979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*s**2 - 22527*s - 5631.\nAnswer: -3*(s + 1877)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -3*(sqrt(5) + -4))**2 - sqrt(25)\/(sqrt(5) + (sqrt(5) - -2*sqrt(5))).\nAnswer: -385*sqrt(5)\/4 + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21272, 21271, 21270, 21269, 21268, 21267?\n\"Answer: -b + 21273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (3*10\/(-6) + 4). Which is the fifth biggest value? (a) -1\/160 (b) o (c) 0.1 (d) 3\/5 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 19, -12.\nAnswer: -12, 19, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*v + 952*v + 77 = 467*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31764449 and 2.\nAnswer: -31764447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 2206672596*u + 405783662161448268.\nAnswer: 3*(u - 367778766)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) 0.2 (b) -1\/5 (c) 3\/3149 (d) -5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21145, 21148, 21161, 21190, 21241, 21320?\nAnswer: 21433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30872 and 102.\nAnswer: 92616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41653 is divided by 41528?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357075 and 207.\nAnswer: 357075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (75\/20)\/((-1)\/(-44)). Let c = r - 83. Suppose -b - 4*b + 4*y = -497, 5*y - c = -b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63892478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-2))\/((-2)\/26). Let z = s + -8. List the prime factors of z + -4 + 1*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 65 = -3*d. Suppose 19 = -4*p - d. Let j be -1875*-32*(-3 + p\/(-3)). What is j rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 78763, 36.\nAnswer: 3, 36, 78763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1661*a**3 - 367*a**2*r + 40*a + 167128590*r wrt a.\nAnswer: -4983*a**2 - 734*a*r + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -25, -36?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.3, -16\/13, -0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.419 + 4.419. Let c = 9 + -11.7. Let d = c + -1.3. What is the second smallest value in d, 2, 2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -469 - -470. What is the biggest value in -1, -0.266, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f + 5*o, 3*f = o - 6*o - 1. Let s be (14 - 36) + (f - 1). Let j = s - -20. Solve u + u + 2 = x, -4*u - 12 = j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4, 0.017 in descending order.\nAnswer: 43, 4, 0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-2))\/((-6)\/16). Let n be 2\/((-2)\/l*-2). Is 11 a factor of (22\/(-3))\/(2\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2. Let p(g) = 10*g**2. Calculate b(p(v)).\nAnswer: 600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193 (base 11) to base 6.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1198382607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30628, -30553, -30480, -30409, -30340?\n\"Answer: -k**2 + 78*k - 30705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*k**4 + 112*k**3 - 3*k**2 - 48*k + 171 wrt k.\nAnswer: 1068*k**2 + 672*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8687*(12 - (-15)\/(-3)). Suppose -23*y + c + 28362 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from {u: 4, s: 4, d: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0372 - 0.1372. Are z and -1460 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:19 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-342)\/32 + (262910\/(-1952))\/431?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20501635 and 266?\nAnswer: 779062130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -27. Suppose 19 = 5*o - 41. Let h = o + n. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.103661 rounded to 1 dp?\nAnswer: 10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - i - 5 + 1 = 0, 3*r = 2*i + 5. Factor 5*j**2 + r*j + 3*j**3 - j**2 - 4 - j - 5*j**3.\nAnswer: -2*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-17)\/((-153)\/6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193973487 is divided by 19397348.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + sqrt(10) + sqrt(70)\/(sqrt(28)\/sqrt(4)))\/sqrt(2))**2 + 4 + sqrt(125) + (sqrt(5) - (sqrt(5) + (sqrt(400) + sqrt(25))\/sqrt(5))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 6\/12*6. Let n be 25\/1 - (3 + f). Solve -n*v = -14*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 1228. Let y be i(0). Let n be 1*(0 - (-8 - -4)). Is ((-1)\/1)\/(n\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.69 (b) 1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -363113 - 8.2?\nAnswer: -363121.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 13*h + 4*h to j*h + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -4*v + 31, 3*b - 2*v = -225 + 226 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -42160.\nAnswer: 33\/21080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -14. Suppose -3*f + 115 = d*f. Suppose -5*m + 44 + 16 = 0. Calculate the remainder when f is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-4))\/(6\/120*-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aafaadifciddad. Give prob of picking 1 i, 1 f, 1 a, and 1 c.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(2\/(-6)*-1). Suppose -r - 3*y + 21 = 4*r, -6 = -w*y. Suppose -28 = -5*z + 3*l, -2*l + 4 - 1 = z. Solve z*j = 2*x - 8, -6*x + r*x - 4*j = -12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1. Let f(j) = j - 4. Determine 11*b(t) - 2*f(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1302 and 27\/3689?\nAnswer: 22134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 9. Let s be ((-4)\/2)\/(2\/p). Let a be ((-4)\/s)\/(10\/15). Solve -a*z - 5 - 3 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)*f*f*f**(-2))\/((f*f**(-2\/9)*f)\/f)**(-16\/3))**(2\/47) assuming f is positive.\nAnswer: f**(-154\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -4*s**6\/15 + s**4\/12 - s**3\/6 - s**2. Let l be p(1). Let w = l - -51. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 252, 2\/15, -0.01?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-10) - 4\/20. Let i(g) = g - 2. Let q(l) = l**2 - 5*l + 11. Let v(n) = c*q(n) + 11*i(n). Find the second derivative of v(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 43. What are the prime factors of x(0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828208.\nAnswer: 2, 37, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6090\/1575 - ((-34)\/30 - -1). Suppose 46*m - 50*m = -k. Is -17 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39016, -39289, -39562, -39835, -40108?\n\"Answer: -273*g - 38743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221 + 220.9999995114. Round i to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 11*i + 1 = 0. Let f(t) = -5*t**2 + 11*t**2 - 10*t + t**3 - i + 3. Give f(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*y + 49 + 70 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 152744, 152751, 152762, 152777, 152796, 152819?\n\"Answer: 2*c**2 + c + 152741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 3 - (1 - -3)\/4. Let l = -0.09 - -0.01. Suppose p + 2*y - 10 = 0, 4*y - 3 = 3*p + 17. What is the third smallest value in s, l, p, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3420*v**2 - 6845*v**2 + 3423*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/19 - 31\/76. Let x = -0.05 + 25.05. Let k = 24 - x. Is k > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -r + 5, 6*r - r + 4*y = 25. Suppose 0*c - z - 3925 = -4*c, 3*z - 4885 = -r*c. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 10:43 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -226000 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937793 divided by -39?\nAnswer: 49687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7004 + -7008 - (39 - ((-1 - 1) + 4))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2 and -5 + 481\/85 + 15\/(-25).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 32 + 18. Suppose -2*c = -j - 33, n = c + 4*j - 14. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/5)\/((-6)\/(-45)). Let c be (-16)\/(-9) - b\/(-27). Let s(a) = -277*a**2 + a + 285*a**c - 2*a. What is s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 12*o + 864 = 0. Let a(p) = -p**3 + 1. Let u(x) = 32*x**3 - 36. What is o*a(g) - 2*u(g)?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/3*924\/(-1092).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -70. Suppose -3*y - 2*y + s = 5*u, u + 5 = 2*y. Solve -g - y*z - 5 = 0, 2*z - z = 4*g - 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181*-1406\nAnswer: -254486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let i = 3.76 - 3.6. Let u = -0.26 + i. Put u, b, -1\/5 in decreasing order.\nAnswer: u, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/116*-8*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372408220*h**2 - 5123*h - 2202 wrt h?\nAnswer: 744816440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 9 = 2*d. Suppose 7*h - 4*h = -5*y + 36, -3*h + 60 = -d*y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.03, -10020565?\nAnswer: -10020565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 3*c - 40 + 3*c + 10.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4. Let x(a) = 7*a + 1. Let i be x(2). Suppose -2*q - i = -n*q. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**5\/60 - q**2 - 2*q + 11. Let r(v) be the second derivative of c(v). Let y(i) = -i + 66. What is y(r(p))?\nAnswer: -p**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -2 - (-2 + 0). Suppose -f = -y*f. Solve f = -5*o - 13 + 3, u - 5*o - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.76 + 17.86. Which is the closest to -3? (a) 0.5 (b) 11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 1. Is -1*-1*49 + x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b + 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 19*g. What is the remainder when q(5) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2084.\nAnswer: 3\/2084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -888.8776\nAnswer: 2666.6328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82537 is divided by 27512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. Let v be 50\/(-15)*2\/(32\/12). Which is the second smallest value? (a) -2\/13 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 59*f**3 - f**2 - 3*f + 13. Let j(n) = 162*n**3 - 2*n**2 - 8*n + 37. Let y(u) = -4*j(u) + 11*k(u). What is y(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*(22*1 + 37 + (-34977)\/623)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120.1 - -120. Suppose 32 = -6*d + d + 3*k, -4*k + 32 = -4*d. Let a be 16\/(-42) + d\/(-14). Sort y, 0, a in decreasing order.\nAnswer: 0, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.73 - 0.27. Let g = k - -14.00000056. What is g rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -360\/53?\nAnswer: -360\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 66?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.04.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 21*h**2 + 37*h + 17. Give b(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392 + -5882\/15. What is the biggest value in -1\/3, 9, a?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -14\/5, -0.3, -1\/5, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/14)\/((-2)\/7).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1617.2100211 to one decimal place.\nAnswer: -1617.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(5\/6))**32 assuming r is positive.\nAnswer: r**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1048 + -1051. Put -2\/15, -56, f in decreasing order.\nAnswer: -2\/15, f, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*d**3*p**2 + d**3*p + 402*d**3 + d**2*p**2 - 286*d**2*p + 40*p**2 + 2 wrt d.\nAnswer: 84*p**2 + 6*p + 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 4*h - 185. Calculate y(19).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -232755\/6607 <= -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*i + 3 - 15 = 0, 2*w - 13 = 5*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/11)\/(o*o*o\/(o\/((((o*o**(-32)*o)\/o)\/o)\/o)))*o*o**(-2)*o*o**(10\/7)*o*o assuming o is positive.\nAnswer: o**(2623\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4336 - 4334. Which is the closest to -2\/757? (a) -0.3 (b) z (c) -2\/21 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -35. Let g be (-120)\/(-32) - (-6)\/(-8). Let v(p) = 2*p - 2. What is the lowest common multiple of v(g) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.42 times -0.1\nAnswer: -0.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*v**4 - 15\/2*v**2 - 39\/2*v + 45\/2*v**3 - 3*v**5 + 9 = 0.\nAnswer: -3, -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2. Let t be (4\/(-16))\/(s\/(-8)). Let j(p) = p. Let h(w) = -3*w + 3. Let k(m) = t*h(m) + 5*j(m). What is the derivative of k(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcv when three letters picked without replacement from vfcsmcz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {x: 1, g: 1, b: 2, e: 1, y: 1, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10 - 36 + 26 - 185*i**2. Let w(m) = 2*m. Give r(w(y)).\nAnswer: -740*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*h = -1244 - 927 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 465*y**5\/4 + y**3\/6 + 9*y**2\/2 + 90*y. Find the second derivative of l(b) wrt b.\nAnswer: 13950*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 - 3*d + 693. Let r be a(0). What are the prime factors of 64\/(-48)*r\/(-6)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, 2\/3, 0.06.\nAnswer: -2, 0.06, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 70*c = -74*c - 2, 3*w - 2*c - 10 = 0. Solve -w*x + l + 1 = 0, 8*x + 4*l = 6*x + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o - 77*o - t = -34, -2*o - 4*t + 28 = 0. Sort o, 8, 2, 1, 4 in ascending order.\nAnswer: 1, 2, 4, 8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000715004 rounded to five decimal places?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 24*n**2 + 90*n + 15. Let t be p(-27). Let j = t - -235. Which is the nearest to j? (a) -2 (b) -1.6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-32) + (0 - (-44)\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-140)\/(-3))\/5. Let a be (-2)\/(-4) + (-116)\/8. Let o be (a\/2)\/(-1 - 0). Calculate the greatest common factor of o and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i - 2*i)*(17 + 15 - 13)*(-3 + 1 - 2).\nAnswer: 76*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 + 0*w**3 + 2*w**3 + 8*w - 2 + 4*w**2. Let i be j(6). Let l = i - -50. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 + -85. Let n = -8 + 12. Suppose 3*v - 19 = -2*p + p, -4*p - n*v = -68. What is the remainder when y is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29\/3? (a) 1\/7 (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/313472 or 1?\nAnswer: -1\/313472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Suppose 0*t - r*t + 18 = 0. Solve -4*w - 3 - t = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 1\/3, -5, -0.051, -10472, -0.4, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 35 = -6*k + 5*p, 13 = k - 2*p. Let c be (2\/(3 - k))\/1. Let m be (5\/(-2))\/(c\/10). Calculate the highest common factor of m and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1786 - -4421. What are the prime factors of p?\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8578227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 6. Let u = k - -11. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, o: 5, x: 7}. What is prob of picking 4 x?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.2 (c) -1\/2 (d) 1\/8 (e) 0.07 (f) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -86432\/7681?\nAnswer: -86432\/7681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 1\/6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2 + 2. Let i(n) be the first derivative of -4\/15*n**3 + b - 1\/5*n**2 + 0*n - 1\/10*n**4. Factor i(x).\nAnswer: -2*x*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v*v*v**11*v*v)**(10\/11) assuming v is positive.\nAnswer: v**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*c + 1 + 57 = 0, -o - 4*c = -30. What is the lowest common multiple of 32 and o?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - d - 2. Let k(a) = -a**2 + a. Let m(j) = -6*k(j) - w(j). What is the units digit of m(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -19. Let y = -6 + b. Let g = 12.014 + y. Round g to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-17)\/(1071\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - -5. Let k(h) = 29*h - 77. Let x(o) = -o**2 + 9*o - 8. Let j be x(7). What is the remainder when k(j) is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(120\/(-9))*(-20)\/6?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405259*l - 213829*l - 74971*l - 140797*l.\nAnswer: -834856*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39, 158, 403, 816, 1439, 2314, 3483, 4988?\n\"Answer: 7*v**3 + 21*v**2 + 7*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a39 - -5?\nAnswer: a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 2*s**3 - 3*s**2 + 348*s**3 - 684*s + 684*s + (-s**2 - 3*s**2 + 6*s**2)*(-4*s - 3*s + 6*s) in the form j + l*s**2 + x*s + v*s**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 20 + 54. Let n = 4 + -8. Is (x\/8)\/((-1)\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 0 = 23*k. Sort 1, 3, k, 0 in ascending order.\nAnswer: k, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 - 4*x**4 - 3310*x**2 - 53460*x.\nAnswer: -20*x**3 - 48*x**2 - 6620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = -2*u - 0*j, -4*u + 4*j = -20. Let c = 2 - u. Suppose 8 = -2*m - c, 3*d + 10 = -4*m. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 h when three letters picked without replacement from {s: 2, h: 7, f: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*((sqrt(63) - sqrt(567)\/(sqrt(9)*3))\/((sqrt(72)*-2 - sqrt(72))\/sqrt(8) + sqrt(9)))**2*3 + 5).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/1300949?\nAnswer: 4\/1300949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.3 (b) 0.04 (c) 0.1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18*23\/(-276)*8\/3. Solve 4*i + 5*h + 15 = 0, 10*h + 6 = -m*i + 8*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.78102ng in milligrams?\nAnswer: 0.00009378102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1238208, 1238207, 1238206, 1238205, 1238204, 1238203?\nAnswer: 1238202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l + 2. Let q = l + -1. Is 2 + 1\/(q\/(-22)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17499, 35005, 52511?\nAnswer: 70017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 6685?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8477 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - -0.04. Which is the closest to 0.2? (a) 5 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -5*r**4\/24 - r**3\/2 + 4*r**2. Let i(f) = -f**3 + 11*f**2 - 4. Let u be i(11). Calculate n(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 26. Suppose -x*n + 9*n = 0. Suppose -2*b + 0*b + 220 = n. Calculate the remainder when b is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905 a factor of 164154540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)\/n*n\/(n**9\/n))\/(n\/((n*n**(2\/9)*n)\/n))**(-12\/11) assuming n is positive.\nAnswer: n**(-437\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-54)\/((-54)\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -122. Let h = 112.9999911 - a. Round h to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 - 44. Suppose 2*k + x = -2*k + 7, 0 = -k - 5*x - q. Suppose -d + 0*d + 20 = k*o, 0 = 2*d - 3*o - 22. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (10 - (-5 + 12)). Solve s*y = 8, 3*y = 4*f + y - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m - 579 - 1113. What is the remainder when 939 is divided by m?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -t + 208. Suppose 4*l - 71 = -5*n, l - 14 = -6*n + 4*n. Suppose -l = 7*p - t. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let s(v) = 1026*v**2 + 323*v. Let y(f) = -19*f**2 - 6*f. Let d(k) = 6*s(k) + 323*y(k). Give o(d(g)).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42 - 60*r**5 + 409 - 3*r - 67*r**5 + 47*r**3 + 7*r**4 + 90 + 128*r**5 wrt r.\nAnswer: 20*r**3 + 84*r**2 + 282*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 6*k**2 - k + 10. Let l be n(6). Sort -4, l, 5 in decreasing order.\nAnswer: 5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79\/(-395))\/((-108)\/105 + 1) + -22?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 285*z**2 + 74*z + 155. What are the prime factors of w(-2)?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-2)\/(-6)*-75. Suppose 0*n - q = -5*n. Suppose -4*o = -0*o + 3*t - 81, n*t + 57 = 4*o. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/24 - 0 - -2)\/((-170)\/(-272))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 57733579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1089 = 37*b - 34*b, -1071 = -3*b + o. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 21*z - 16 = -17*z - 14*z, 5*i + 3 = -3*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1833 divide 8184345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -154*d*g**3 + 2*d*g - 2*g**3 + 60*g**2 wrt d?\nAnswer: -154*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6642, -12895, -19146, -25395?\n\"Answer: b**2 - 6256*b - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -27*g - 75 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559710.\nAnswer: 2, 5, 19, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/10)*w*w**(-19))**(-25) assuming w is positive.\nAnswer: w**(895\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*w = -12, -10*g + 8*g + 3*w - 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.2. Suppose -64*a + 6 = -62*a. Suppose -4*m - m + 2*c = 25, 4*m - a = -3*c. What is the closest to 0.2 in m, l, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 8*c**3 - c**3)*(-4*c + 2*c + 4*c) - c**4 + 4*c**4 - c**4 + (0*c + 2*c**2 + 0*c)*(c**2 + 3*c**2 - 2*c**2).\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 237 in 0.04, -0.3, 5, 15, 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -k - 3, 3*k + 4*i - 2*i - 16 = 0. Let g be (10\/(-3))\/(k\/(-66)). Calculate the highest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcgccggggca. Give prob of picking 3 g and 1 a.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1490 - 1483.72. Round g to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + (3 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let k be z(3). Suppose -12*d = -k*d - 8052. What are the prime factors of d?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 7:22 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 2*q + 92, -2*q + 401 = -2*y + 204 + 209 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 9*w - 20. Determine s(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -5, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98*5\/20*(200\/35)\/10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, o: 5}. Give prob of picking 2 e and 2 o.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48678*m = -48675*m - 36 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839291 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + i + 3*i + 472 = 0, -3*i - 12 = 0. Let j = 9 - 81. Let s = j + t. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 135, 157, 189, 231, 283, 345, 417?\n\"Answer: 5*q**2 + 7*q + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from seejvew?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49\/146 - -61\/73. Which is the fifth biggest value? (a) -2 (b) -28 (c) 3\/2 (d) 4 (e) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*y - 10 = 2, -4*y = -16. Let t be 5 + -3 + m + 1. List the prime factors of (1 + t)*15\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755067167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -37. Suppose -a = 2*l + 3*x, -l - 35 = -2*x - 10. Does 12 divide ((-2 - -4) + l)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7296, -14447, -21322, -27783, -33692, -38911, -43302, -46727?\n\"Answer: 23*u**3 - 7312*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 5*j**2 + 5*j + 2. Let f be o(-4). Let v be (2 + f)\/3 - -2. Let h be (-2)\/2 + v - -11. Solve 4*p = 4*q + h, -3*p + 7*p + 20 = -4*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 234*l**7\/7 - 368*l**3\/3 + 418. Find the third derivative of x(t) wrt t.\nAnswer: 28080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k - 5*o + 5, 3*k - 80 = -5*o. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/18 + 412479\/243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381 is divided by 340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2)*4\/4. Suppose z + l*z = -2*s + 188, 4*s + 56 = z. Suppose -r + z = 3*k - 4*r, -4*r = 4*k - 88. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5224 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - w + 1. Let k(t) be the second derivative of -23*t**5\/20 + 5*t**4\/12 + 5*t**3\/6 - 3*t**2\/2 + 4501*t. Calculate -k(x) - 5*y(x).\nAnswer: 23*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3337949 and 202.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*n**2*q*z**2 - 72*n**2*z**2 + 81*n*q*z**2 - 27*n*q*z + n*z**2 wrt n.\nAnswer: -52*q*z**2 - 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 v when four letters picked without replacement from xqxxgxxxxzxvqgxx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -34372*w**2 + 3. Let d(t) = 15742375*t**2 - 1375. Let b(q) = 6*d(q) + 2750*j(q). Let o be b(-4). What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35\/3 - 11. What is the nearest to 0.1 in -2\/5, -5, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*p - 3, 2*t - 4*p + 1 = 19. Let r be 3*t\/9*(-1 - -1). Which is the fourth smallest value? (a) 2\/3 (b) -1\/6 (c) r (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138547892*s + 277095788*s - 138547897*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 41*t**2 + 182*t + 10. Determine z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.88 + -0.12. Let f = 0.03 + 2.47. Let r = f + -2. Which is the closest to 0? (a) -2\/19 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 c when three letters picked without replacement from cncncccccnc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-4 + 7))\/1. Let i(y) = y**2 - y. Let w(z) = 3*z**3 - 5*z**2 + 9*z. Calculate p*w(g) - 5*i(g).\nAnswer: -3*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*q + 144*q - 3003 - 75 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 divided by -109?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2504731 - -3832238291\/1530. Find the common denominator of 63\/310 and p.\nAnswer: 47430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 1350*w**2 - 7920*w.\nAnswer: -5*w*(w + 6)*(w + 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 756, 1513, 2272, 3033, 3796, 4561, 5328?\n\"Answer: z**2 + 754*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/25 in 2\/9, -1\/4, -4, -2, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96052 equal to 96052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -672496.74393 less than -1?\nAnswer: 672495.74393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 + 6*s + 4. Calculate y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u = 71 + 53 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/105629 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 - y**2 + 0*y**2)*(0*y - y + 0*y) + (2 - 2 - 2*y)*(-2*y + 0 + 0)*(6 - 6 + y) to the form b*y**2 + m + u*y + c*y**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 (base 11) in base 12?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5970 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 93 = -89. Let a be 0\/2 + (-4)\/(-2). Sort -5, s, a.\nAnswer: -5, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13134 (base 7) in base 6?\nAnswer: 24120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 - 6 - 28)*(2*i + 3*i + i) + 3*i + i - 5*i in the form d*i + h and give d.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 7993352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 2*j**2 - 3*j + 6. Give f(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -13*u + 10*u. Let s = -6 - u. Solve -c - 7 = 4*d, d + 15 = -4*d + s*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24435?\nAnswer: 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/(-18) - 2\/6. Suppose c = -r + 8 + x, -5*c - 3*r + 57 = 0. Suppose 42*b = 41*b + 45. Calculate the greatest common factor of b and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*q**4\/8 + 61245*q**3\/2 + 222621*q**2\/2 + 77904*q - 44520 = 0. What is q?\nAnswer: -7420, -2, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*f + 3*b + 12, 0 = -f - 3*b - 6. What is the remainder when (f\/(-4) + -2)*-40 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Let s be (2\/22)\/(10\/254). Let t = 21\/11 - s. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -27*p**2 - 23*p + 16. Let t(b) = 54*b**2 + 43*b - 29. Let y(c) = 11*l(c) + 6*t(c). Let w(f) = 40*f**2 + 7*f + 3. What is -5*w(q) + 7*y(q)?\nAnswer: -11*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1964645*y**3 - 1560*y**2 + 50 wrt y.\nAnswer: -11787870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 18 + 47 = 0. What is the tens digit of 8*(h\/2)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12882669523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6511726890 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*g*j**4 - 267*g*j**2 + 34*g*j + 522086*j**4 - 276*j**2 wrt j?\nAnswer: 288*g*j + 12530064*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 438 (c) -3\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13028976.1 to the nearest 100000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*n + 11. Let i = -12 + n. Suppose 0 = -g + i. Solve 3*a = -4*q - 16, -1 - g = q - 5*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -53. Let c(m) = m + 18. Let d be c(q). Let u = 0 + 1. Solve 3*r + u = d*z - 0, z + r = 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x - 182. Suppose -5*k + 315 = -80. Calculate the remainder when k is divided by l(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 3*r - 2. Let g be (4\/8)\/((-9)\/6 - -2). Let x be p(g). Solve 3*o + x*o - 15 = -5*w, -w - 15 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 412\/56)\/((-15)\/(-20)). Is -6 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000301781 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/323)\/(10\/(-30))*-437.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*j - 27. Let x be 3\/9*-3 - j. Let y(b) = 6*b**3 - 4*b**2 - 4*b + 2. Let o(d) = 7*d**3 - 5*d**2 - 5*d + 3. Determine x*o(k) - 5*y(k).\nAnswer: -2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -767.59 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1000 - -2740. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 5*w + 7. Let r be u(6). Calculate the highest common divisor of 2 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 5*r**3 - 2 + 4*r**3 - 6*r**2 in the form q*r + b*r**2 + c*r**3 + u and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 3516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/3 - 53*s**4\/3 + 778*s**3\/3 - 2026*s**2\/3 + 1925*s\/3 - 625\/3.\nAnswer: (s - 25)**2*(s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j + 8. Let a be g(3). Do 35 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122432 (base 5) to base 13.\nAnswer: 220a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 930*w - 1 + 791*w - 5.\nAnswer: -139*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -51945.\nAnswer: -51944.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 4 + (6 - 1). Suppose 4*i = -4*o - 96, 2*o + t*i - 96 = 5*o. Calculate the common denominator of o and 24\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -62. Solve 2*a - a - f = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -142*z + 1139. Let f be g(8). Let u(c) be the second derivative of c**3\/6 - 3*c**2 - c. Calculate u(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841933761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18588919981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/7)\/(f\/f**(-2\/7)*f))\/(((f\/(f\/(f**(-2\/11)*f)))\/f)\/(f**(-4\/3)\/f)) assuming f is positive.\nAnswer: f**(-827\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 9*q**2 - 10*q - 95. Calculate d(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 + y - 8. Suppose 0 + 7 = -s. Let l be v(s). Let o = l + -59. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 21 + 1. Suppose 10*p - 10 = n*p. Let v be (-10)\/((-9)\/(27\/p)). What is the highest common factor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 2*d + 19, 3*m - 68 + 29 = -6*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*v + o + 3, -16 = -4*v + 2*o. Suppose h - 3 = 1. Let a = v + h. What is the highest common factor of 30 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36495 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5484 and 34409358?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = 0, -6 = -86*d + 83*d - 3*j. Let a(q) = 3*q**2 + q - 2*q - d*q**2 + 12 + 0*q. Suppose 0 = -0*t + 2*t. Give a(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 + -280. Put -0.19, l, 0, -5 in descending order.\nAnswer: l, 0, -0.19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {u: 3, j: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45241531 + 3?\nAnswer: -45241524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) 49 (b) -4\/3 (c) -1\/41 (d) -0.3 (e) -0.5 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 109980189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*c = -3513 - 701 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 4*v**2 + 20*v**3 + 20*v**4 - 18*v**4 - 15*v**3 to n*v**3 + p*v + o + b*v**2 + g*v**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46285 by 9257.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 2*p - p - 75*p**2 to b*p + k*p**2 + y and give k.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0601 and 10?\nAnswer: -0.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/180 and -17\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10393, 10273, 9983, 9445, 8581, 7313, 5563, 3253?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 507 + -258. Let n(m) = -a*m + 249*m - m**2. Let b(x) = 154*x**2 - x. Determine n(b(y)).\nAnswer: -23716*y**4 + 308*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 682, 659, 612, 541, 446, 327?\n\"Answer: -12*q**2 + 13*q + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6 - 25*d**2 - 4*d + 26*d**2 - 8 - 8. Is 18 a factor of v(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)*-1)\/sqrt(6))\/sqrt(9).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9010682407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2480 + 2484. Let x(s) = s**2 + 4*s. Let j(d) = -2*d**2 + 1. Let h be j(2). Let z(a) = 2*a**2 + 7*a. Determine h*x(l) + p*z(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56890 is divided by 2401.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 600872412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-6*4)\/6)\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16829 - 7847 = -35*z. What is the remainder when z is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j + 60 = 0. Let s(n) = -n - 6. Let f be s(-15). Solve 5*l = -5*b + j, -5*b + f = l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0273 from -1694980.\nAnswer: -1694980.0273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Suppose -2*i - 2*i = -28. Let h(b) be the first derivative of 2*b**2 + 4*b**2 + 3 - i*b**2. Determine h(o(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(13) + 2 + 3)**2 + (3 + -3*sqrt(832))*-2.\nAnswer: -83 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57419 + -40367. List the prime factors of t.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*g = 34, -2*g - 125 = -4*y + 81. Calculate the greatest common divisor of y and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - 10 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2 + 6*l. Let c(a) = a**2 + a. Let r(i) = 6*c(i) - f(i). Let d(p) be the first derivative of 0*p - 2 + 9\/2*p**2. What is r(d(y))?\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1 + sqrt(99) + sqrt(99))**2 + -2 + 3.\nAnswer: 18*sqrt(11) + 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:17 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-9))\/(2\/9). Put 2\/7, u, -5, 0 in descending order.\nAnswer: 2\/7, 0, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85984240 to the nearest integer?\nAnswer: 9273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.022039396 rounded to three decimal places?\nAnswer: 1.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -4 (c) -0.093 (d) 170 (e) -0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 12:11 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/8 + (28 - 22).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -34*p - 94. Let s(n) = -7*n - 19. Let z(q) = 3*b(q) - 14*s(q). Let h be z(-17). Calculate the highest common factor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -2*x + 3*s - 35, 5*x + s - 155 = 0. Let c = 4 + 89. What is the remainder when c is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -71574 and -71574 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + j + 1. Suppose 229 - 220 = -3*x. Calculate z(x).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxgkggkkkgkkakgkkgk. Give prob of sequence ka.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/36*(-7)\/(350\/(-135)) and 29\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (13286\/637 - ((1 - 2) + 13))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16300 and 978?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 7. Suppose 26 = -4*u - 5*j - 29, 9 = -3*j. Let x be t(u). Suppose 7*i - x*i - 20 = 0. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10 + 1)*(-2*m - 3*m + 4*m) + 0*m - m + 0*m + (20*m - 34*m + 19*m)*(4 - 5 + 7).\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30512515*i**4 - 23394730*i wrt i.\nAnswer: -366150180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9.6608*-0.851\nAnswer: -8.2213408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -29, 4, 1, -46 in decreasing order.\nAnswer: 4, 2, 1, -29, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22680 = -125*t + 89*t - 144*t. What is the remainder when 548 is divided by t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -62757.49, 5.\nAnswer: -62757.49, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 45*q**2 + 40*q - 174. Let u be v(-44). Suppose -22*l + u = -21*l. Factor 18\/5*f**4 + 0 + 2*f**l + 4\/5*f - 32\/5*f**3.\nAnswer: 2*f*(f - 1)**2*(9*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37843*3.\nAnswer: 113529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20562*815.\nAnswer: -16758030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.12 and 2.146?\nAnswer: 2.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 2*b - 10, -25 = 1141*t - 1136*t + 5*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 4:02 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6646 (base 9) to base 15.\nAnswer: 16bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/2 + 233*v**4\/2 - 6843*v**3 + 6496*v**2 + 13456*v = 0.\nAnswer: -1, 0, 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9357125 is divided by 3449.\nAnswer: 3437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -1355011?\nAnswer: 1355004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19670 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i + 5*i + 2*i**2 + 11*i**2 - 4*i**2. Let y be j(-1). Suppose -3*a - 2*o + y = -29, -1 = -a + 5*o. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 4. Let q be y(-6). Suppose -13 - 11 = -8*f. Sort -4, f, q in decreasing order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 6*u**2 + u**2 + (3*u + 0*u + 0*u)*(0 + 0 - 2*u) - 3*u**2 - 8*u**2 + 4*u**2)*(3*u**3 - 3*u**3 - 4*u**3).\nAnswer: 40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/3635038 or -1?\nAnswer: 5\/3635038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (2 + (1272*2)\/(-3)). Suppose -3*r = -g - 435. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(3\/33*10*352\/320)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2. Let j be ((-12)\/(-16))\/(1\/4). Let q(v) = -j*v + 2*v + 2*v. Give q(f(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 49*d**2 + 10*d - 268. Calculate the remainder when q(49) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-149)\/(-298))\/((345\/4)\/5)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231513 divided by -77171?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 21996?\nAnswer: -2\/5499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2887 + 2916. Which is the nearest to 1\/3? (a) 0.1 (b) -3 (c) -2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 5, 0.04, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9619133 and 5945?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmmmssmssmsssms. Give prob of sequence sms.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14226 (base 12) in base 14?\nAnswer: -a298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 18. Let m be g(-6). Suppose -6*y + m + 18 = 0. Suppose y*i - 8*i = -63. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963803 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let w(o) = 230*o + 253. Let k(z) = 506*c(z) - 2*w(z). Let m(f) = -f + 14. Let n(b) = b - 28. Let q(y) = 2*m(y) + n(y). Determine q(k(l)).\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 - 4*f - 20. Let a(p) = -p**2 - p - 6. Let b(d) = 7*a(d) - 2*q(d). Calculate b(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 97244.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-10 - (-15 + 20)) - -25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 1056764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*l + 41208*l**2 + 20*l + 15*l - 41210*l**2 + 56*l.\nAnswer: -2*l**2 + 181*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let n(k) be the first derivative of 5*k**2 - 7. Calculate l(n(v)).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k + 4. Let p be g(-4). Suppose 0*c = -3*c + p. Suppose 0 = -20*l + 17*l + c. Calculate the lowest common multiple of l and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145 or 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38954 or -6\/11?\nAnswer: 38954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 592*r + 1307. Give s(-1).\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 2791899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -66, -156, -286, -450?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 12. Let r be m(-18). Let t(j) = -7*j + 46. Let a be t(r). Solve -c - 20 = a*y, c + 3*c + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-6*h**2 + 12*h**2 + 5*h**2) + (-2*h + 0*h + 0*h)*(-h - 2*h + 2*h) - 14*h + 14*h + 32*h**2.\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1481 (b) -3 (c) 0.4 (d) 20\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 times -1017460?\nAnswer: 142444400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.397 - -3.603. Which is the closest to l? (a) -3 (b) 2 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2 - 2 - 3*n + 5. Suppose 3*p - 10*p = 21. Let w be (-8)\/(-3)*3\/2. Let s(u) = -2*u + 1. Calculate p*t(v) + w*s(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) - (3*((sqrt(2)*1 - sqrt(2)) + sqrt(2)))**2 - (sqrt(8) - (sqrt(16)\/sqrt(2) - sqrt(8)))\/sqrt(4)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, b: 1, w: 2, r: 2, h: 1}. What is prob of picking 1 r and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4477\/3 < -2.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g. Let o be g*(1 + -3 - -1). Find the second derivative of -2*n + o*n + 2*n**2 - 4*n**2 wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znnn when four letters picked without replacement from znnznnznzzzzzz?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/30 + 16*w**2. Let n(c) be the third derivative of 119*c**5\/30 - 60*c**2. Calculate s(n(g)).\nAnswer: 113288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12722694 divided by 6907?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3556 and (-69265)\/(-7620) + (2 - (22 + -11)).\nAnswer: 10668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04117 plus -0.46?\nAnswer: -0.41883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -185*h - 150. Let p(z) = -92*z - 60. Let n(a) = 10*p(a) - 4*w(a). Let i(m) = 4*m**2. Determine i(n(x)).\nAnswer: 129600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 8, 4*k = 3*f + 23. Put 6, 0.3, f, 5 in increasing order.\nAnswer: f, 0.3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**3\/3 - 15*d**2\/2 - d. Suppose 2*k + 4*o - 2 = 0, -5*k + 5*o - 320 = -265. What is v(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + -2 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = a - 0*a. Calculate the common denominator of 43\/(-8) + a\/7 and (-359)\/190 + (-6)\/15.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 28729.\nAnswer: 4\/28729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 533\/2871 + -1\/261. Let t = 15\/22 - v. Sort t, 3, -0.1.\nAnswer: -0.1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1817106*y**2 - 1072744*y wrt y?\nAnswer: 3634212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 135. Let c = v + -66. Solve z = -c + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3031798*g**3 + 158*g**2 - 882*g?\nAnswer: 18190788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 13. Let t(w) = w - 7. Calculate -2*i(o) + 5*t(o).\nAnswer: o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2059 - -2758. Let l(t) = 38*t**2 + 77*t + 1. Let o be l(-8). Let c = a - o. What is c rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = -30. Let v = p + 5. Let m be v\/3 + (-12)\/45. Which is the smallest value? (a) -0.2 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*y + 2611 = 4931 + 4160. Let k = -4 + 9. Calculate the highest common factor of k and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) -0.3 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16713201 is divided by 181.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 27544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*s**3 + 0 + 0*s - s**2 = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-8 - (8 - 13))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 7*z - 4*z - 3*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*w**4)*(408 - 223 - 233)*(1 + 4 - 2)*(1 - 4 + 1) + 2*w**2 - 2*w**2 - w**4 as k*w**4 + f*w + h*w**3 + p*w**2 + r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0118652786 to four dps.\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5.73, -0.4, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6448, -25144, -56306, -99934?\nAnswer: -156028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1909497, -1909495, -1909491, -1909485, -1909477, -1909467, -1909455?\nAnswer: -1909441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13\/4 - (25 + -21)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:16 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-105)*7\/8)\/(82\/(-16))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 16 = 0. Let n = -1 + t. What is the third derivative of -7*c - n*c**2 + 7*c + 2*c**6 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 2842*y + 876484. Calculate t(352).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 67*d = 72*d + 42, -7*b + 3*d = -44 - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:40 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357167 divided by 27.\nAnswer: 357167\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.516797943 and 116867.\nAnswer: 116867.516797943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/9*4*30\/288. What is the third biggest value in -5\/8, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 13. Let w be n(-2). Let u(p) = -3*p - 1 + 2 + 2*p**2 + 1. Let k be u(2). Solve -x - w = -k*v, 5*v + 3*x + 0*x - 18 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-168)\/(-30) - (-24)\/60)*(-1)\/(-2). Sort -1, -818, o in decreasing order.\nAnswer: o, -1, -818","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose k = s*k. Suppose -4*b - 2 + 10 = k. What is the highest common factor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4906\/7 or 0?\nAnswer: -4906\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 17 - 10 - (-9 + 5 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 - -7912832621\nAnswer: 7912832622.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d**2 - d + 36. Let o be l(0). Let b be (o\/30)\/((-2)\/(-5)). What is the highest common factor of b and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -18611229069?\nAnswer: 18611229069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + (-21 - (5 + (13 - (17 - -5)) + -9)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 239 - 239 - 19*u + (0*u + u - 2*u)*(1 + 0 - 2) + 0 + 0 - 2*u - 2*u + 1 - 1 + u - 5 + 5.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(-3 + sqrt(15)\/sqrt(3)) + 1)**2.\nAnswer: -110*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = 9. Suppose -29*w - 10 = -28*w. Let g(b) = -b**2 - 10*b + 5. Let f be g(w). Which is bigger: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 + 4*f + 1. Let p(m) = -9*m - 8*m - 3 - 1 + 13*m**2 - 1. Calculate 9*g(u) + 2*p(u).\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -8*m**2 + 196. Let i(j) be the first derivative of -2\/3*j**3 + 0*j + 0*j**2 + 5. Calculate g(i(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**4\/4 - 16*t**3\/3 - 7*t**2\/2 + 10*t + 24. Let g be w(18). Let o = -341 + g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1300?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3146475 and -31\/25.\nAnswer: 3146475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**2 + 355*k**3 + 3 + 0*k**4 - k**4 - 363*k**3 - 3 - 2 in the form m + s*k + b*k**3 + c*k**4 + q*k**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 330, 310, 270, 204, 106?\n\"Answer: -t**3 - 4*t**2 - t + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 3*s - 88 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 1 + 1 + -1. Let c(p) = -28*p - 1408. Let o be c(-63). Suppose w*u + o = 10*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**3 + 5*t + 1. Let u(k) = 13*k**3 + k**2 + 11*k + 2. Let l(a) = -3*u(a) + 7*x(a). Determine l(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 8:05 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2770378609\/171900 - 145046\/9. Do a and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -40, -71, -120, -193?\n\"Answer: -p**3 - 12*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/35)\/((-23)\/23805*-23) - 13\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + 2 + (0 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from eckvmegm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -1107*f**5\/20 + f**4\/12 - 195*f**2\/2 - 433*f. Find the third derivative of u(n) wrt n.\nAnswer: -6642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/186 and 1\/31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. Suppose 8*x - 15*x + 5*x = d. Solve a - 8 + 4 = x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -185575*i - 927869. Determine z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 - 5*z - 2. Let g be j(6). Suppose 0*x - 54 = -t + 4*x, g*x + 252 = 4*t. Suppose 5*m = t - 1. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8208)*3)\/(sqrt(12)\/(sqrt(484)*-3)).\nAnswer: -1188*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-10)\/4 - -2). Let o(j) = -2 - 5*j + 7 - 6*j**a - 1 - j**3. Is o(-5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 2*f**2 + 3*f + 3. Let v be j(3). Let g be (2\/8)\/((-3)\/v). What is the derivative of 0*q**2 + 8 + 4 + q**2 - g wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190\/57)\/((-122)\/(-1281)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/4 + p**4\/2 - p**3\/3 + 10*p. Let f(u) = -11*u**3 - 13*u**2 + 4*u. What is -6*f(o) - 13*y(o)?\nAnswer: o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.036190601674845766 - -1115352431.963809748325154234. Let f = 1115352460 - l. Let j = -28 + f. Round j to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a factor of 19545656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v = 51*v - 5*v - 1056. Solve -56*f - v = -45*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2214337492\nAnswer: 2214337491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 3*n**2 + n - 2. Let g be u(2). Let r be (g\/10)\/(1\/5). Let 3*x**2 + 2*x + x**r + 6*x**3 - 4*x**3 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*h**3*x**3 + 2*a*h**2*x + 2*h**3*x - 285*h**2*x**4 + 3*x**2 wrt x.\nAnswer: 6*a*h**3 - 6840*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from httxrx. Give prob of picking 2 x and 1 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60.2 + -60. What is the closest to 0 in -2, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -296846 or -296837?\nAnswer: -296837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1357344593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126822 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 15*k**5\/4 + 1111299*k**4\/4 + 3666939*k**3\/2 - 777840*k**2 = 0.\nAnswer: -74080, -7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c**2 - 1. Let u(o) = -2*o**3 - 4*o**2 + 4*o + 4. Let x(m) = 2*f(m) + u(m). Factor x(p).\nAnswer: -2*(p - 1)*(p + 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/((-12744)\/(-1180))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -19. Let y(n) be the first derivative of 0*n + 0*n**q - 2 - 1\/3*n**3. Let u(c) = c. Calculate u(y(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 1425 - 1542 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 886787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4976758 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 695628 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/74*10\/(-30). Let l = -47\/185 + w. Put -4, l, -2\/7 in ascending order.\nAnswer: -4, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 12580.8 minutes?\nAnswer: 754848000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 4:03 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 465277\/85460 + 24\/4273. Calculate the common denominator of p and 19\/(-40) + (-4)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1473 - 664. Suppose -f + 5*a + 231 = 0, -528 - 219 = -3*f - 3*a. Suppose -5*y + f + s = 0. What are the prime factors of y?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(324)*3 + (sqrt(252) + (sqrt(252) - (2*sqrt(252) + sqrt(252))))\/sqrt(7))\/((sqrt(108) + 2*(sqrt(108) + sqrt(108)*-2))*4).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 42*z - 19074. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 5, v: 5, s: 3, o: 3}. Give prob of sequence so.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14595786 rounded to three decimal places?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k + 39 = 0. Suppose -7*l + 2*l + 100 = 0. Let h = l + k. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*n - 117*n + 26*n - 59*n)*(-15*n + 0*n - 11*n).\nAnswer: 3458*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + 1 - (12 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b + 3*b**2 + 55*b - 24*b - 12*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*m**3\/5 + 2399*m**2\/5 - 1850*m - 520.\nAnswer: (m - 4)*(m + 130)*(19*m + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000433719 to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3.9. What is the third smallest value in y, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 251534377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*h - 31*h - 12. Let v(a) = 2*a**3 + 11*a**2 - 10*a - 13. What is the remainder when 163 is divided by v(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -39. Suppose -2*r + 930 = 4*y, 5*y - 7*r + z*r = 1157. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24192 and 9.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/695020 and 2\/32395.\nAnswer: 7645220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31162768.\nAnswer: 2, 7, 13, 17, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d + 4. Let z(w) = 12*w + 9. Calculate 10*n(i) - 4*z(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q + 300. Let n be f(0). Let t = n + -142. What are the prime factors of t?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/20 - d**3\/3 - 3*d**2. Let h(i) be the first derivative of r(i). Let q(p) = p**2. Give h(q(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8 + 295\/(-120)*18.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*i - 80. Calculate the remainder when i is divided by ((-6)\/5)\/(3\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 17*x**3 + 90235611 + x + 0*x**2 - 90235604 + 0*x**2.\nAnswer: 17*x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 15*k + 6*k. Solve -3*j = -5*f - 26, 0*j - f = k*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184096*m**2*u**3 + 1176153*m**2*u**2 + 2*m**2 - 7*m*u**4 wrt u?\nAnswer: 1104576*m**2 - 168*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127053 is divided by 3970?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2943058 and -0.7?\nAnswer: 0.4056942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 10. Let z(t) = t**3 + 2*t**2 - 3*t + 3. Let q be z(h). Suppose 3*s - 7 - 15 = 4*m, -57 = -q*s - 3*m. What is the greatest common factor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -5450\nAnswer: 2725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050003 to five dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, and 1 g when three letters picked without replacement from {b: 1, y: 1, g: 1, p: 2, n: 1, q: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23322286067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 47. Let n be v(14). Calculate the highest common divisor of 9 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 3*s - 7*s, -2*t + 14 = -3*s. Solve t*x + d - 18 = 1, -5*x = -4*d - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 - 15 = 0. Let w be (o\/(-4))\/((-3)\/(-558)). Is -462\/5 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. What is the units digit of z*-13*(-7)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15601578359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from iiniiijiiiiiww.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -3. Calculate the greatest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 151 = 2*c - 114, 4*c = -b + 105. Differentiate -134*u**2 + 169*u - 108 - b*u - 84*u wrt u.\nAnswer: -268*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 9 - 4*l + 0.\nAnswer: -4*l - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -289 - -334. Calculate the remainder when 176 is divided by a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 + -16. Suppose 4*d = -0*d + 8. Suppose -3*b - 2*b = 2*c - k, d*c - 60 = -2*b. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/18 and ((-4)\/(-288))\/(12\/2168) + -2.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20216 (base 13) to base 8.\nAnswer: 160207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -115*v**2. Let s(t) = -96444*t**2. Calculate s(m(f)).\nAnswer: -1275471900*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2628 = -145*b + 127 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5996299136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2*m**(-7)\/m*(m**(2\/3)*m)\/m**2*m**(-1\/3)*m*(m**(-6)*m)\/m*(m**(-2))**(-24) assuming m is positive.\nAnswer: m**(109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 6697412 and -1.\nAnswer: 6697411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 5*p**2 + 2*p - 2. Let t be i(3). What is the common denominator of -81\/2 and (7 - 4)*14\/t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-5) + 2908\/(-20). Let l = f - -525. What are the prime factors of l?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -5, 4, -27 in descending order.\nAnswer: 4, -5, -27, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvlnvdfvlvll. Give prob of picking 1 n, 1 d, and 1 v.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 20*g**2 - 20*g + 145. Let h(j) = -17*j**2 + 15*j - 144. Calculate 3*a(c) + 4*h(c).\nAnswer: -8*c**2 - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15\/82 - 1\/902. What is the second biggest value in a, 5, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 - 3 = 0. List the prime factors of ((-2)\/6)\/(s\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353739899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -1340509209744.\nAnswer: -1340509209743.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 830 + -840. Let t(i) = -i**3 - i**2 + 9*i - 6. What is the remainder when t(s) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 1\/6, -13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04818358 - 2244.8.\nAnswer: -2244.84818358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 2, d: 4}. What is prob of sequence yyx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and -59.83.\nAnswer: -69.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-228)\/216)\/(2\/6 + 0) and 71\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 90782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680757200 by -16.\nAnswer: 42547325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17851781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/35 + (-2)\/(-10)*-3. Let j be 91\/(-21) + -5*1*s. What is the biggest value in -12\/7, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j - 643. Give t(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/7 - 722*q**2\/7 + 2930*q\/7 + 3650\/7 = 0.\nAnswer: -365, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c6 + c8a31?\nAnswer: c8038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/11 and -44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (75 - (23 - (-19 + 8)))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3314.91 to the nearest ten.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*v = -95, -5*v = -3*n - 6*v + 175. Sort -1, 1, n, 4 in increasing order.\nAnswer: -1, 1, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 7:47 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*u + 75 = -141. Solve 0*n - 2*l = -2*n + 6, -2*l - 14 = -u*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**6*s*s)\/s*s*s)\/s*s\/s**(-1)*s)\/((s**5*s)\/((s\/(s\/(s*s**(2\/5))*s))\/s)))**(-47))**(-20) assuming s is positive.\nAnswer: s**4136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -100212210001011?\nAnswer: 100212210001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758623615.\nAnswer: 5, 29, 41, 127607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5412203262?\nAnswer: 2, 3, 31, 9699289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 h when three letters picked without replacement from {e: 2, p: 1, l: 2, o: 6, h: 4}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjjj when four letters picked without replacement from jjrjrjjjjjjjrjj.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**2 - 1. Let p(h) = h**2 + 3*h - 2. Let s(u) = u**2 - 3*u + 2. Let v(g) = 2*p(g) + 2*s(g). Give v(m(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 275.47 and -35.791?\nAnswer: 311.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -185*s + 69. Let y(f) = 278*f - 103. Let h(j) = -8*o(j) - 5*y(j). Is h(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1868 - 1868.000013485. What is r rounded to seven decimal places?\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 3 - 8 + 4 - q**3 - q**4 in the form d*q + j*q**2 + x*q**3 + n + u*q**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - (sqrt(50) + sqrt(50) + sqrt(100)\/sqrt(2) + sqrt(50)))*-3)\/(sqrt(810)*2) + (sqrt(560) + sqrt(560)*1)\/(sqrt(224)\/sqrt(2)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -3 times -4.39\nAnswer: 13.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 17670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 10*f**2 + 2 - 12*f**2 - 12*f**2 - 6*f**2 - 5*f**2 to x*f + g*f**2 + h*f**3 + t and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17113 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 + (60 - 14 - 9*8\/12) and 7?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -h + 5*g, -25 = -4*h - 0*g - g. What is the remainder when 20 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/330 - -3601\/660. Let h = 65 + -1. Find the common denominator of a and -10*(-1 + 98\/h).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 119\/49) + 6\/14. Calculate the common denominator of 137\/12 and ((-3520)\/(-24) + v)*(-2)\/(-48).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*u - 3*u. Let v(b) = -10*b - 1. Let w be v(-1). Let o(y) = -22 + 11 + w + y. Calculate o(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 78.7. Let b = 4049759.29999985 - 4049760. Let a = q - b. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6*-9 - 503\/(-1). Suppose 6*k = 64 + a. Calculate the highest common factor of 38 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbtttbbnjbtntnnnt. Give prob of sequence bb.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/180*(8\/((-128)\/34) + (-4)\/4).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7697391*h**2*o**3 - 3*h**2*o + 4*h**2 - 339747*h*o - 3*o**5 - 2*o wrt o?\nAnswer: 46184346*h**2*o - 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42296847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5 - 252*z**4 - 1822*z**3 + 2324*z**2 + 1821*z - 2072 = 0.\nAnswer: -8, -1, 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -135.3?\nAnswer: 8.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h + 76. Let v be n(-5). Let g = v - -212. What are the prime factors of g?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**10\/90720 + l**9\/11340 + l**8\/4032 + l**7\/3780 - 7*l**4\/6 + 13*l. Let i(s) be the third derivative of p(s). Factor i(u).\nAnswer: u**2*(u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -159*o - 769 - 1139 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 27. Calculate the lowest common multiple of 3 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3711073 microseconds in hours?\nAnswer: 0.00000000149197425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 5 + (1 - 3 + 3)*(2 - 1 + 1) - 5 + 2 + 5 - 1 + 4 - 5)*(68 - 68 + 32*q) to t*q + i and give t.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915099?\nAnswer: 3, 305033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*l - 2*l. Suppose -2*h + 14 = -s, 3*h - 2*s - 25 = -l. Solve 32 = 2*b + 5*n + 9, b - 24 = -h*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = 4*q - 19, -5*t = 4*q - 20. Put 1\/6, -0.1, -0.2, q in ascending order.\nAnswer: -0.2, -0.1, 1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*z - 8. Let y be 2\/(-4)*0\/(-1). Let f(b) = b + y*b - 7 - 2*b. What is f(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -3.301?\nAnswer: 0.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.08902 - -0.22847034\nAnswer: 0.31749034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*n*n\/(n\/n**7)*n)\/n)\/n*n*n**(-1))\/(n\/((n**(-2\/5)\/n)\/n))**39)**3 assuming n is positive.\nAnswer: n**(-1854\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*g + 16 = 26, 5*s + g - 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**(-1\/9) assuming x is positive.\nAnswer: x**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36603.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*n = 564 + 718 - 359 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4361, -4438, -4575, -4772, -5029, -5346?\nAnswer: -5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*c - 27131 = -27150, 8 = -o + c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:34 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:49 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2 (c) 3\/7 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1364, -5455, -12274, -21827, -34120, -49159, -66950, -87499?\nAnswer: -110812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 6 - 3) + 9 + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3519990 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888128643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 2*p**3 - 3*p**3 + (8 + 5 - 14)*(4*p**2 - 4*p**2 - 2*p**3) + 2 - 2 + 2*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 10. Suppose -a*p = -79 - 51. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 10 - 8 + 34 + 3)*(4*m + 0*m - m)*(2*m + 3*m + 3*m).\nAnswer: 1152*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5158*n - 11*n**2 - 2581*n - 2577*n.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 400?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -q - 3*q. Is 944\/(-24)*q\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let v be (22\/66)\/((-5)\/45). Sort v, q, 4 in decreasing order.\nAnswer: 4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + (-35 + 9 + 12 - -7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/99 and 48\/121.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23118.\nAnswer: 2, 3, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 1. Let k(y) = y + 2. Let b(d) = -2*d - 3. Let p(f) = -4*b(f) - 9*k(f). Let n(w) = -p(w) - 5*v(w). Let q be 108\/(-24)*2*(-1)\/3. Give n(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.14 (b) 1 (c) -1 (d) -0.3 (e) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**3 - 6*n**2 - 6*n. Let m(j) = j**3 + j**2 + j. Let q = 5 + -4. Let o be -2 + 4*3*1. Suppose o + 8 = 3*d. Give d*m(c) + q*s(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -6.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144775632 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 2)\/(1*-1). Suppose 0 = -4*q - l + 189, m*q = 4*q - l - 41. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*j**2 + 6*j**5 - 6*j**5 + 20*j**2 + 33*j**6 wrt j.\nAnswer: 3960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 0.033467\nAnswer: 0.568939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 39*m + 160 = -52*m. Suppose -o + 5*s - 13 = 3, 2*o - 5*s + 12 = 0. Let v be 0\/((8\/(-2))\/(-4)). Sort m, v, o in descending order.\nAnswer: o, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1702, -6806, -15316, -27232?\n\"Answer: -1703*z**2 + 5*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 4*d**2 - 1\/15*d**5 + 0 + 0*d + 0*d**3 + 1\/4*d**4 - 1\/60*d**6. Factor s(w).\nAnswer: -2*w*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*r**4 + 2*r**2 + 81464*r - 675665285?\nAnswer: 248*r**3 + 4*r + 81464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/11))**(-1)*b**(-15)*b*b**(-4\/21) assuming b is positive.\nAnswer: b**(-3257\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1300) + (sqrt(1300) + -1)*6))**2.\nAnswer: -21000*sqrt(13) + 1593400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1805783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1422 + -957.\nAnswer: -2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*s - 18*s + s**2 + 1 - 11*s + 0 + 6*s**4 to d*s**2 + b*s**3 + g*s + f + n*s**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-8)*(-2)\/(-3). Suppose -4*n = 2*w - n + 69, -4*w + 3*n - 111 = 0. Let k be (36\/w)\/(2\/5). Sort t, 0.2, k in descending order.\nAnswer: t, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (612\/(-72))\/(-2*(-6)\/(-72)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**2 - 6*b + 5. Let v(l) = -7*l**2 - 5*l + 4. Let r(y) = -4*y - 10. Let t be r(-4). Let p be (14\/(-21) + 3)*-3. Determine p*v(x) + t*f(x).\nAnswer: x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -335 + 338. What is the nearest to m in 0.08, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184\/(-24)*-444 + -6?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -23. Let j = d - 12.9. Which is the nearest to -1\/3? (a) 0 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 8 = -4*r. Solve 5*l - 2*d + 5*d = r, 2*d - 10 = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -1\/65*k**5 + 1\/39*k**3 - 1\/195*k**6 - 1\/13*k**2 + 4*k + 1\/39*k**4 + 0 + 1\/273*k**7. Determine q, given that t(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y - 0. Let w = 1 - y. Let d(l) = -w + 0 - 8*l**2 + 1 + 2. Give d(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 17*m. Suppose -3*l = -3*h - 18, -3*l - 4*h = -6*l + 18. Solve m = 3*r - r - l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 + 566 = -19*s. Which is the second smallest value? (a) s (b) 0.3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1928 - -38583\/20. Let s = o + -2\/5. Let v be (4\/6)\/((-14)\/(-6)). Sort s, v, 2\/13 in decreasing order.\nAnswer: s, v, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 715 = 695. What is the highest common factor of 423 and s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9194 a factor of 1326611454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etmo when four letters picked without replacement from soeststmmttt.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 24. Suppose -s*l - k = l - 12, 9 = 3*l + 4*k. Suppose l*w - 3*b - 2*b = 65, w = -3*b + 17. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 12. Let c be l(0). Suppose -4*g - c = -3*g. What is the units digit of (-3 + g)*(0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.17, 0.13, 0.2, -795?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 244687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1859 + -1230. Suppose 3*m - 16*m + 142 = -339. What is the highest common divisor of m and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -961, -1410, -2147, -3172, -4485, -6086?\nAnswer: -7975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79581876?\nAnswer: 2, 3, 11, 337, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 194*g**3 - 2324*g**2.\nAnswer: -2*g**2*(g - 83)*(g - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 85048\/3?\nAnswer: 85048\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57100 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: b\"What is the fth term of 57038, 114071, 171104, 228137, 285170, 342203?\n\"Answer: 57033*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from {x: 3, m: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*z**2 - 1 - 181*z**2 + 364*z**2 + 9*z.\nAnswer: 58*z**2 + 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 74*j**3 + 129*j**2 + 159*j + 17. What is z(-1)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.39769 hours to nanoseconds.\nAnswer: 336231684000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*b + 16, 24*b + 0*k + 2 = 31*b + 4*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11*o - 1. Let t be x(0). Let b(n) = 58*n + 12. Let s be b(t). Let g be ((-75)\/20)\/5 - s\/8. Solve 0 = -2*m + m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 23) + (2 - 40 - -30) - 16\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 10*o**2 - 9*o + 3. Let s be j(9). Suppose -s*u = -7*u + 24. Let d be (-46)\/(-10) + u\/(-10). Sort d, -4, 2 in increasing order.\nAnswer: -4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 6796 + 6796. Let j(a) = -a**2 - 5*a. Determine j(w(o)).\nAnswer: -o**4 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -11356?\nAnswer: -1134c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315.877*-4.85.\nAnswer: -1532.00345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -422.569 - -421. Let m = 16.554 + y. Let c = -15 + m. Round c to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygymmym. What is prob of picking 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -35) + -4 + (0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -0.5. Let g be (-2 - 19\/(-9))*2. Which is the nearest to 1\/4? (a) g (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = -k + 2*u, 0 = -u. Let g be k*(-1 + -1)\/(-6). Suppose 0 = -g*z + 4. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*k**3 - 137*k**3 - 110*k**3 + 355*k**3 + 163*k + 75*k.\nAnswer: 2*k**3 + 238*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 3 (b) 0.8 (c) 4980\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/8 (b) -0.2 (c) 13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 + 17*k + 16. Suppose 106*b - 107*b - 7 = 0. Let m be q(b). Which is smaller: -7 or m?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29965646 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.169446 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 293435, 587624, 881813, 1176002?\n\"Answer: 294189*x - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u. Let w(d) = 63*d + 6. Give k(w(f)).\nAnswer: 252*f + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/7 - 715\/(-1092).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6296 + -6292. Which is smaller: 708 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 8738196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 + 3*m**2 - m - 1. Let a be s(5). Let q = -73 - a. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9357609979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -3. Let m be 21 - (s - -5 - 2). Let u(b) = -2*b**3 - 9*b**2 + 25*b - 30. Let p be u(-7). Calculate the highest common divisor of m and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -1\/6, -11\/60, -3\/4 in decreasing order.\nAnswer: -1\/6, -11\/60, -3\/4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.571 kilometers to micrometers.\nAnswer: 223571000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 1 = -t - 0 + 3, -69 - 17 = z - 16*t for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3122 in -1\/4, -12, 4, 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/30 - (-2)\/(-5). Let q = 2.55 - 0.35. Let y = 3.2 - q. What is the second biggest value in y, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115476 divided by 38492.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = -65 + 125 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163644401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 22*d - 21. Let g(n) = n**2 + 10*n - 10. Let y(m) = 4*c(m) - 9*g(m). Let k(x) = x**2 + 1. Determine 6*k(i) - y(i).\nAnswer: 15*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.02, 7.\nAnswer: -0.02, 1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 8*v - 198. Calculate the lowest common multiple of 48 and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 86, 206, 384, 626, 938, 1326, 1796?\n\"Answer: n**3 + 20*n**2 + n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142142?\nAnswer: 2, 7, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 36 = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-12)*18\/15. Sort c, 0, -4, -16 in ascending order.\nAnswer: -16, -4, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, h: 9}. What is prob of sequence ffhf?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 56213 (base 9) to base 4\nAnswer: 21013221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**5 + 5*x**5 - 3*x**5)*(497 + 1965 - 479) + (x**5 - x**5 - 2*x**5)*(3 + 0 - 2).\nAnswer: 3964*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-22) + 90\/(-55).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 + 4 - 4)*(156*x - 155*x - 711 - 418 + 201).\nAnswer: 3*x**5 - 2784*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 761036797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3 + (3 - -1)). Suppose n*p = -p - 2. Let k(b) be the second derivative of -b**3\/3 + b**2\/2 - b. What is k(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -2*w**3 - w**4 + 0*w**2 + 3*w - 1\/14*w**7 + 9\/20*w**5 + 1\/5*w**6 + 0. Factor x(f).\nAnswer: -3*f*(f - 2)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 3*w**2 - 7*w - 2. Suppose -5 = 42*q - 41*q. What is z(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 716 + -696 - (35 + 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131010 (base 4) in base 14?\nAnswer: -2256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*l + 35, -l = -5*j + l - 148. Let q(r) = -3*r + 5. Let p(t) = t - 1. Give j*p(y) - 6*q(y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k\/k**4))*k)\/k)\/(((k**(-1\/3)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31373 - 17041. List the prime factors of f.\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4 = 5*c, -5*n - 2*c = 23 - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*p - 12 - 8)*(-19*p - 54 + 54).\nAnswer: 76*p**2 + 418*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60 and 19889.35.\nAnswer: -1193361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 196.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8785 and 6275.\nAnswer: 43925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 94 = -70. Let p(a) = 3*a**2 + 2*a + 7. Let j be p(7). Let u = j + f. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13175 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 10*q + 4. Let r be s(9). Suppose r = -3*m - 2. Let j(u) = -11*u - 6. What is the remainder when j(m) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = -54 + 68. Let x be p - (-3 + (3 - 18)). Which is smaller: x or 160\/9?\nAnswer: 160\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3436*(-1 + (-1)\/(-4)*2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/7, 2, -1844, 348, -1, 2\/11, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11876 and 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001651001 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 0. Let p = t - -2.2. Let x = -0.43 - -0.93. Which is the third biggest value? (a) 4 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60635\/36 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149178.\nAnswer: 2, 101, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/137941?\nAnswer: -2\/137941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3\/6 + 5*t**2\/2 - 198*t. Let a(h) = 1. What is -6*a(b) + s(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)\/(20\/(-15) - -1). Suppose 0 = -3*s - 4*b + 9, 8*s - 6*s - 5 = -u*b. Let h(t) = -t**3 + 7*t**2 + t - 5. Determine h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2154 + -19397\/9. Is 0.1 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2325\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0207423 nanoseconds to seconds.\nAnswer: 0.0000000000207423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 40*l - 688. Give x(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**2 - f. Let q(g) = -4*g - 4. Let n be q(12). Let t = -51 - n. Determine h(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1672448 - 5292413. Let c be (s\/(-20))\/(2\/8). Let p = c - 450993. Round p to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -850 - -848. What is the biggest value in 66, y, 2\/5?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 2*l - 7. Give d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483436304 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3828 by -957.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -635 - -13?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9816 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 6. Let u be b(-5). Let z be u\/4 - 2\/(-4). Let s = 4.1 - 1.1. Is s equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.75 + 0.25. Let m = 2 - 1.9. Which is the biggest value? (a) w (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from aiaaiaiiiiaa?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pttd when four letters picked without replacement from {d: 4, t: 7, p: 2}?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 694 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 1, n: 4, j: 2, k: 3, v: 1}. What is prob of sequence nk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 + 4?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((30\/(-6))\/(-5))\/5)\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -746 + 1181. List the prime factors of h.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343977 is divided by 677.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 705667 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (153*-13*(-18)\/5265)\/((28\/5)\/4). Factor 0 + 2\/7*w**3 - 76\/7*w - q*w**2.\nAnswer: 2*w*(w - 19)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398950 is divided by 79231?\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/6, 1\/3, 4, 14, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (0 + 2) - -1. Suppose m + n = -p - 2*p, -5*m - 4*p = -18. Let u(h) = -h + 43 - 16 - 24. What is u(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + n + 3. Let r(p) = -p**3 - 2*p**2 + 2*p - 1. Let x be r(-2). Let y be u(x). Calculate the greatest common divisor of y and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 + 6*m - 3. Let l be z(5). Suppose -l*g = -10 - 2. Solve 3*s - 14 = -k + g*k, k - 6 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 0 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5235441119.\nAnswer: 5231, 1000849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/7 in -2, 128, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -50, -108, -180, -260, -342, -420, -488?\n\"Answer: d**3 - 16*d**2 + 3*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11110 (base 2) to base 10\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 4:50 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 16 = 2*g. Solve 2*c = 5*y - 15, -19 = -5*y + c - g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*z**2 + 1086*z**2 + 728*z**2 + 1039*z**2 - 177*z**2.\nAnswer: 2804*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2) - 1\/(-2). Let o be (-814)\/198 + l\/(-7). Let f = o - -27\/7. Which is the biggest value? (a) f (b) -0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 24*h + 45. Let j be i(-22). Let u be (j*(-12 + 6))\/(1*-3). Let s(z) = 3*z**3 - 5*z**2 + 5*z - 1. Determine s(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 z when four letters picked without replacement from {t: 1, r: 1, z: 5, u: 12}.\nAnswer: 275\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 12 = -16. Let z = 1235 - 855. Does 20 divide z\/8*k\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 + 898 + 242 = -76*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/296 and 59\/40?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(3 - 1 + 2)*(-2*s - 4*s + s).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8\/(-12) - 4\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 7185, 4, 23 in descending order.\nAnswer: 7185, 23, 4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*d = 26, -d = -n - 0*n + 20. Let t = n + -18. Which is smaller: t or 80?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1944 = -16*r - 728. Let h = -146 - r. Calculate the highest common divisor of h and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*d + 3*k, d - 2 = -5*k. Let q be d\/(-18) - (-3596)\/24. Let x be (-2)\/7 + q\/35. Solve -22 = x*f + 2*c, 24 = -0*f - 3*f - 3*c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6008 divided by 2\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/17, -0.14, 2, -10 in ascending order.\nAnswer: -10, -0.5, -0.14, -1\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5429113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 10*t**2 - 7*t + 18. Let i be n(-9). Solve 3*a - 3 - 9 = i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 231*d**3 - 3 - 130*d**3 + 11*d**3.\nAnswer: -350*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1038*i**2 + 6 - 526*i**2 - 1536*i**2.\nAnswer: -3100*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13304 + 15551?\nAnswer: 33255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.3 (b) 2 (c) 3\/19 (d) 0.08 (e) -12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -10. Let h = b + -1. Let v = 64 - 63. Solve -a = -v - h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 176795500 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -780*v + 1962 + 1938 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28772794 divided by -12\nAnswer: 14386397\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 + 130?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 69, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 3, 138 in increasing order.\nAnswer: -5, 0, 3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 2551 + 1240 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 70. Let m(b) = -3*b - 71. Let a(z) = -3*f(z) - 2*m(z). Determine a(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w - w + w)*(-w**2 - 9 + 9)*(-3 - 2 + 0).\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-750)\/225)\/((62\/(-93))\/((-2)\/(-1)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2010, 6, 5, -11 in decreasing order.\nAnswer: 2010, 6, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 236381077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (6 + -2 + -21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2)\/(-7) + (-2)\/7. What is the closest to 1 in 1\/4, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*(sqrt(176) + -2*sqrt(176)))**2 - ((sqrt(176) + 1)*3)**2) + (sqrt(176) + 1*sqrt(176)*2 + -3)**2.\nAnswer: -144*sqrt(11) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(77) + -1*sqrt(77))*2*-3)\/((-2*sqrt(77)*-3 + sqrt(77))\/(sqrt(44)*-1 - sqrt(11))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-792)\/14*17\/((-153)\/189). What is the highest common divisor of 88 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56339, -121291, -186243, -251195, -316147, -381099?\nAnswer: -446051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8 - -0.8766581.\nAnswer: -1.9233419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 45 + 0 = 3*r, 0 = 3*r + 3*l - 45. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v**3 - 16574*v**2 + 323284*v + 1058640 = 0.\nAnswer: -1203, -20\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = 3*f, -3*f = 3*o - 2*f - 10. Suppose 0 = -o*s - 13 + 3. Does 15 divide (-2)\/(0 - s) - -31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18354\/31 - -592. Let g = 172.1 + -172. What is the closest to 2 in 4, 1\/9, g, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7683 and 327808?\nAnswer: 983424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9658*c = -13709*c - 1845993 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.0035, -5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9997)\/(-2307)*(-90)\/2795.\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11440*y**3 + y - 135555 wrt y.\nAnswer: -34320*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 304020 (base 5) to base 8\nAnswer: 23235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/44467 in -0.2, -5, 3, -66?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.37678 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1. Let j(t) = 3*t + 2 + 1 - 3. Suppose -6 = 3*g - 3. Let o(c) = g*j(c) + 3*x(c). What is the derivative of o(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/12)\/v**(-7))\/((v*(v\/(v\/((v**(1\/8)*v*v)\/v)))\/v)\/(v\/(v\/((v\/(v**(3\/2)*v*v))\/v))*v)) assuming v is positive.\nAnswer: v**(79\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -18, 4, 5.272?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 - -96. Is 5159*(-4)\/u - (-3)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (9 - (4 + 7))) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 200?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from qqiiq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 9*s - 9. Let b be n(8). Sort 3, -8, b.\nAnswer: -8, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1900 is divided by 308?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)\/(i*i\/(i**(-4\/3)\/i*i))*i\/i**(-4\/5)*(i*i\/i**(-2))\/i*((i**(-2\/21)*i*i)\/(i*i\/(i\/(i*i*(i**(-1)\/i)\/i))))\/(i**1)**(-1\/9) assuming i is positive.\nAnswer: i**(-163\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2109 by 16.\nAnswer: 2109\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (592\/(-1628))\/(-2 - -3)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 4, 15, -2.2, 0.2, -4\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 99*x**2\/2 + 338*x + 294. What is the first derivative of q(p) wrt p?\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 3*((sqrt(95)*-2 + sqrt(95) - sqrt(95)) + sqrt(95)))*4)\/(sqrt(30)\/(sqrt(384) + (sqrt(384) - 3*sqrt(384)))).\nAnswer: 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/5 + 219*y**2 + 98256*y\/5 - 304704\/5.\nAnswer: 3*(y - 3)*(y + 184)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 305 - 205. Is 100 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 5. Let h = -15 - -11. What are the prime factors of c(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcccceczeezecz. What is prob of picking 1 z, 1 c, and 1 e?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*a**4 + 2740*a**2*o**2 + 5820*o**2 - 2*o wrt a.\nAnswer: 168*a**3 + 5480*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271112*m**4 + 236254 with respect to m.\nAnswer: 1084448*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 947 + 790 - 2525 + 788.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 26*v + 108 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(11) + sqrt(44)\/sqrt(4) + -3)**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/2 - 3*q**4\/2 + 6*q**3 + 6*q**2 = 0. What is q?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 17) + 2204\/76. Sort 4, x, -17 in descending order.\nAnswer: x, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2299) - ((6*sqrt(2299))**2 + 0)) + sqrt(2299) - sqrt(2299)) + (((-1*sqrt(2299))**2 - sqrt(2299)) + sqrt(2299))*1 + 4.\nAnswer: -80457 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342413?\nAnswer: 342413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9204177 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/76 + 137\/380. Let r = -1.85 - -1.35. What is the fourth smallest value in 3, b, -2\/7, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 + 2096 = 3*w. What are the prime factors of w?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/88 (b) 503 (c) 2\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -59*c**2 - 78*c + 4. Let q(m) = 58*m**2 + 77*m - 6. Let s(t) = -3*g(t) - 2*q(t). Find the second derivative of s(v) wrt v.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:33 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7581378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -20177365.2 to the nearest 100000.\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1105 (base 6) to base 2\nAnswer: 100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5236, 5139, 4990, 4789, 4536, 4231?\n\"Answer: -26*x**2 - 19*x + 5281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -37. What is the lowest common multiple of n and (-680)\/(-272) + (-10)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3\/4*m - 5\/16*m**2 + 1\/24*m**3 - 3. Factor v(o).\nAnswer: (o - 3)*(o - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 - l. Let w(d) = 21*d**3 + 2*d**2 - 2*d. Determine -4*v(n) + 2*w(n).\nAnswer: 46*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 77 in 2\/9, 4, 40, -4, 148?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6602 + 4189 - 5171)*(-q + 2*q + 0*q).\nAnswer: 5620*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from avyhqvvyyyv.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45756, -91527, -137300, -183069, -228828, -274571?\n\"Answer: w**3 - 7*w**2 - 45757*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1107301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049 + 44 + 732 = -365*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*c**3 + 4 - 2 - 2.\nAnswer: 205*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10853 + 12193. Which is smaller: 1339 or k?\nAnswer: 1339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 217, -3\/16, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44734, 89063, 133392?\n\"Answer: 44329*f + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000 (base 2) to base 8.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbhbhqvhhqbuubhvvbv. Give prob of sequence bhuh.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 32*v**3 - 80*v**2.\nAnswer: 4*v**2*(v - 10)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1094623*g**4 - 549737 wrt g.\nAnswer: -4378492*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 553347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 5395922.\nAnswer: 21583688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 187. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-6 + 7 - 5) + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 165920364 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*c + 35. Let i(g) = -4*g**2 + 2*g + 3. Let z(j) = j**2 - 1. What is c*z(r) + i(r)?\nAnswer: r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 6*s**2 - 3*s + 6. Let m be (3\/2)\/((-15)\/(-20)). Suppose -f + 18 = 4*y, m*y + 2*f - 1 = y. Determine n(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -19 + 17. Let a(s) be the third derivative of -s**4\/12 - s**3 - 3*s**2. Let k be a(-5). Solve -k*c = -4, 2*t = -t + b*c + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2 - 14\/4. Let g(c) = -c**3 - 4*c**2 + 7. List the prime factors of g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/9 - 0 - (-114)\/27. Let l(o) = o**3 - 3*o**2 - 5*o + 3. Give l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5\/9 - 8*i**4\/9 + 44*i**3\/9 - 16*i**2\/9 = 0. What is i?\nAnswer: -4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-40)*100\/(-8). Let g = -86\/3 - -29. What is the closest to -0.5 in f, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -15*j**2 + 3*j - 2. Let c be w(3). Let m = 190 + c. What is the greatest common divisor of 155 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -1.74. Let y = 2.34 - q. Let i = -3891 - -3893. Put y, i, -2 in decreasing order.\nAnswer: y, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164 - 292. Let y = 41.3 + d. Round y to zero dps.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3985 - 12025*p + 6017*p + 6006*p.\nAnswer: -2*p - 3985","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 142, 69, -74, -311, -666?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (sqrt(11) + -2)**2.\nAnswer: -4*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*a - 2*a - 7, 0 = s + 3*a + 8. Suppose -16*g + 13 + 19 = 0. Put 1, s, g in descending order.\nAnswer: g, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85744 by 932.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -5. Find the third derivative of -g**6 + 0*g**6 + 3*g**2 - g**6 - g**a wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158 * -9\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-144 - -3)*6\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*d + 4*d + d - 4*d in the form m*d + w and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 3. Let o(q) = -8 - 4*q**2 - 2*q**2 + 8*q**2. Let u(g) = 8*f(g) + 3*o(g). Let p(x) = 0*x - 11*x**2 + 0*x. Give p(u(v)).\nAnswer: -44*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2*1*(8 - -24). Calculate the greatest common divisor of 288 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 1175. Let h(i) = 8*i - 8210. Determine 3*h(c) - 22*j(c).\nAnswer: 2*c + 1220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -102\/19 (b) -3 (c) 3 (d) -0.3 (e) 2 (f) -309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 12:05 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21362 - 21361.83219. Round d to 3 dps.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 274, 259, 238?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 419, 416, 411, 404, 395?\n\"Answer: -x**2 + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a**3 - 2*a**2 + 1. Let o be s(1). Let y = 15 - o. What is the least common multiple of y and 7?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k + 12. Let u(f) = f - 1. Let b(l) = -h(l) - 12*u(l). Let s(w) = 24*w. Give 6*b(m) + 3*s(m).\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d. Let y(z) = -z**2 + 17*z + 8. Let l be y(0). Let r(b) be the second derivative of 0*b**2 + 0 - l*b + 1\/3*b**3. Give r(p(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/70 + a**6\/120 + 67*a**4\/12 - a**3\/3 + 318*a**2. Find the second derivative of b(q) wrt q.\nAnswer: -36*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7317547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-16))\/((-91)\/26*(-1)\/28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5866 is divided by 163.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/166)\/((-62)\/(-16) - 6120\/3264)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 minutes after 9:06 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -46.5. Let y = -0.073 - -10.073. Let j = c + y. Put -4, -4\/9, j in ascending order.\nAnswer: -4, j, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -9. Let u = -3314504.00073 + 3314477. Let v = f - u. What is v rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2760 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -195*u**3 + 14*u**2 - 11*u. Let n(r) = 98*r**3 - 6*r**2 + 5*r. Give -7*n(m) - 3*p(m).\nAnswer: -101*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 15.2. Let p = 5 + x. Let u = 0.3 + p. Which is the smallest value? (a) u (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -187, -218, -249?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - x = 3*o - 13, 0 = -12*o + 16*o - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight thirds of a minute in seconds?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -215705.3 and 678.\nAnswer: -215027.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 15) to base 12\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(0 + 1\/(-11)). Suppose 8*l = b*l - 6. Solve -1 = -2*v + 3*d - l, 5*v - 7 = -2*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 7*u - 3. Let g be a(3). Suppose 3*d + 12 = g, -5*d - 45 - 59 = -v. Let r = v + 123. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 2*b - 474. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 6 - (-104 + 0). Let m = -105 + a. Suppose 2*i + 64800000 = -m*i. What is i rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 50 = 16*u - 17*u, 16 = a + u. Solve -a*i = -44*i + 154 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - n + 80. Calculate the remainder when c(0) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8 + 0*f**2 + 5*f**2 + f**2 - 8*f. Let k(s) = 6*s**2 - 6*s + 15. Let y(m) = 5*m**2 - 5*m + 13. Let r(h) = 6*k(h) - 7*y(h). Determine l(p) - 8*r(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4*r - 8. Determine b(-7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -1\/60*f**5 + 0*f + 0*f**4 + 4*f**2 + 0 - 1\/2*f**3. What is y(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8895 is divided by 1402.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 192*m - 25. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 7:19 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14*a**2. Let v(u) = -35*u**2. What is b(v(l))?\nAnswer: 17150*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1046*d**5 - 512*d**5 - 345*d**5 + (3*d**4 + d**4 - 3*d**4)*(-3*d - d + 2*d).\nAnswer: 187*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138987 is divided by 2509?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -41*s + 803. Let j be b(18). What is the greatest common divisor of j and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -39*a + 2. Suppose 15*b - 51 = 489. Let r(f) = -f**2 + 17*f - b*f + 19*f. Calculate r(j(x)).\nAnswer: -1521*x**2 + 156*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(4 - 2 + 1) + (-3 + 2 + 2)*(-1 - 1 + 3))*(-2 + 2 + p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 15*i**2 + 7*i + 8. Let l be v(7). Suppose -277 + 981 = l*j. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:04 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1)*3\/(-2). Let m be -3 + (-1 - (-9)\/(-10)). Let i = m - -24\/5. Put i, 0.2, c in decreasing order.\nAnswer: c, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-138))\/7*614\/(-1535)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 28 = 3*k, -m - 12 = 1035*k - 1030*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6835364 in 2, -0.4, 2\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*o + 48926 + 55894, 4*b - 3*o = 83849. Let n = -419203\/20 + b. Calculate the common denominator of n and 71\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 872, 720, 436, -4, -624, -1448, -2500?\n\"Answer: -4*h**3 - 42*h**2 + 2*h + 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24168)\/(-636) + (-38)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31386690 to the nearest integer?\nAnswer: 5602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -6. Let j(i) = -i**2 - 4*i + 2. Let u be j(q). What is the third derivative of -6*a**2 + 3*a**6 + 2*a**u + 5*a**2 - 2*a**5 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 24. Suppose 6 = -13*f + 12*f. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 57*j - 226. What is k(32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*n + 3*o, -12*n + o = -9*n - 15. Suppose -5*v + 2*i - 90 = -8*v, n*v - 146 = -2*i. Calculate the remainder when v is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 l when four letters picked without replacement from {s: 3, l: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6898648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.72. Let r = t + 0.92. Which is smaller: r or 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 20*b + 9. Calculate x(5).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*(-50)\/(-300)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/6)\/(l\/(l\/(l*l**(1\/7)\/l*l*l)))*l**(-2\/3)*l\/(l*l\/(l**(-4)*l)) assuming l is positive.\nAnswer: l**(-293\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1760 - -1839. Put 5, j, -1 in increasing order.\nAnswer: -1, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**5\/3 + 1874*k**4\/3 + 27118*k**3 + 287826*k**2 = 0.\nAnswer: -21, 0, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 629859 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -20\/19 in decreasing order.\nAnswer: -20\/19, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p + 110 + 317 = 56. What is the remainder when (-7*1)\/(-2 + 1) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40094 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: How many millimeters are there in 29\/2 of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1095*s**2 + 2205*s + 1. Is u(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 times -151.7?\nAnswer: -13501.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + 3 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-175 + 1748 - 9779 + 2827)*(1 + 0 + 5*x**2 - x**2) to q*x + s + d*x**2 and give d.\nAnswer: -21516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 407*z**5\/60 - z**4\/12 - z**3\/3 - 13*z**2. Is h(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 911 - 3739 = 0. Does 93 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16499?\nAnswer: 7, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 2)*-4*2. Suppose 2*k + 402 = 3*h, 13*k = 9*k - 2*h - 788. Let a = k - -347\/2. Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093036059 to 4 decimal places.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:03 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1698305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105734 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 64. Let u(j) = -j**3 + j**2 + 3*j + 15. Calculate the remainder when u(-4) is divided by l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + 4*h)*(-11 + 27 - 12)*(-2*h**4 + 3*h**4 + h**4).\nAnswer: 32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 199. Suppose -6*q + 3*x - 2 = -10*q, -8 = -5*q - x. Suppose 0 = q*y - w + 23. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1540547 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174902.\nAnswer: 2, 3, 195817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1373*l**2 - 1373*l**2 - l**3 + (-l + 3*l + 0*l)*(-2*l + 2*l - l**2) + 2*l**3 + 0*l**3 - 4*l**3 to the form g*l**2 + v*l + p + z*l**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k. Let q(g) = g. Let j(v) = -n(v) + 3*q(v). Let a(x) = -26*x**2. Determine j(a(d)).\nAnswer: 78*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 8*p = 6. Factor 15\/4*o**p - 3 + 6*o.\nAnswer: 3*(o + 2)*(5*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l = 2*u + 4982, -u = -2*l + 3321. What are the prime factors of l?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 3, -251 in descending order.\nAnswer: 248, 3, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11579, -11583, -11589, -11597, -11607, -11619, -11633?\n\"Answer: -c**2 - c - 11577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 961, 1\/2, -7, -1\/2781 in descending order.\nAnswer: 961, 1\/2, -1\/2781, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -159787134 + 0.013?\nAnswer: -159787133.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.008 - -1.812. What is v rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 20*j + 43. Let k be b(8). Put k, -4, -2, -1 in increasing order.\nAnswer: -4, -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(171))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -u - 3*u + 22, -x + 3*u - 14 = 0. Let f = 7 + x. Suppose 3*w + 28 = 5*h, -h - h + w + 11 = 0. Solve -4 = -f*d, -5 - 8 = 3*t - h*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/(-40)*24\/(-12) and 45\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/19 + 232*m**3\/19 - 714*m**2\/19 + 8*m\/19 + 952\/19 = 0.\nAnswer: -119, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/7 - 13982*k\/7 - 55896\/7 = 0. Calculate k.\nAnswer: -6987, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7283 - 119?\nAnswer: -7402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 33 = -6*h, -17 = -144*h + 148*h - 3*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -776, -1315, -2034, -2993, -4252?\nAnswer: -5871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.463 - 0.537. Let w(g) = -g**2 - 5*g + 5. Let h be 2*(-3*1 + 0). Let b be w(h). What is the closest to b in 0.3, -5, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t - 10. Let s be k(12). Suppose 2*z = s - 6. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**4\/12 + 5*p**3\/6 - 17*p**2\/2 + 4*p. What is the lowest common multiple of 1 and b(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -17) + -1143 + 1162.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1) + 13 - (-3 - -2). Suppose u - 2*x = 10, -3*u + 0*x - 3*x - d = 0. Solve s + 4*k + 14 = 0, -4*s + 5*k + 0*k + 28 = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 - 2*r + 3. Let b(g) = 27*g + 21 - 16 + 9*g**2 - 32*g. What is -2*b(h) + 5*t(h)?\nAnswer: 2*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llz when three letters picked without replacement from {l: 5, z: 9}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -66.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 150.13 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345\/230)\/(2\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333 + 166 + 167 - 626*s to the form h + r*s and give r.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -887.\nAnswer: -102\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 927 - 928. Which is greater: r or 2\/595?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -82*i**2 - 25*i + 24. What is m(2)?\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*i + 24. Suppose -53*r = f - 50*r - 105, 4*r = 3*f - 276. What is the greatest common factor of i and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439321.\nAnswer: 13, 53, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 + 2.61. Let u = f - 3. What is the nearest to 0.1 in u, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1882 (base 12) to base 16\nAnswer: ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2037 + -1387. Calculate the greatest common divisor of 52 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 f, and 1 l when four letters picked without replacement from {f: 2, l: 1, n: 1, g: 1, a: 6, y: 5}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 117 = -5*l + 146, 0 = 5*b - l + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -45, -1, -13 in ascending order.\nAnswer: -45, -13, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-2*k - 3*k + k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/13? (a) 0.3 (b) 3 (c) 4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 80233490.1 to the nearest ten thousand.\nAnswer: 80230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/5)\/(g\/(g*g\/g**(-10)*g)) assuming g is positive.\nAnswer: g**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**6\/120 - 33*y**5\/20 - 5*y**3\/3 + 3*y**2 + 119*y. Let u(n) be the second derivative of d(n). Solve u(p) = 0 for p.\nAnswer: 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7750.6 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 185 + 209. Suppose 7*b - 4*x - 72 = 2*b, 21 = 3*b + 5*x. Solve b*f = c*f - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**10\/60480 - v**9\/30240 - v**8\/13440 + v**7\/5040 - v**4\/6 - v. Let q(f) be the third derivative of l(f). Factor q(w).\nAnswer: w**2*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 2*h - 7. Let r be c(4). Let g(m) = -6*m**2 - m + 1. What is g(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 215, 860, 2623, 6068, 11759, 20260?\n\"Answer: 94*m**3 - 5*m**2 + 2*m + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -3, -5302, 4 in decreasing order.\nAnswer: 4, 0, -3, -4, -5302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37990, 78542, 119094, 159646, 200198?\n\"Answer: 40552*q - 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -4*h + 3*h - 4*g, -4*h + 1016 = -2*g. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2319, -4632, -6947, -9264, -11583, -13904?\nAnswer: -16227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j, -v + 5*j - 10*j - 20 = 0. What is the common denominator of 327\/40 + v - 6 and -9\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 39*i - 23. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d. Let i(x) = 7*x - 10*x + 4*x. Calculate c(i(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 47613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*f + 4*f + 4*f)*(-f + 0*f + 2*f) + 7*f**2 - 2*f**2 + 0*f**2)*(-2 + 2 - f)*((-4 + 3 - 1)*(3*f - f - 8*f) + 5*f - 3*f - f)*(5*f - 2*f - f).\nAnswer: -208*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 12*j - 2. Let n be b(8). Suppose d - n + 5 = 0. Suppose d = i - 25. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2612 divided by 653?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 + r**2 - 493 + 247.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/23540 and 83\/924.\nAnswer: 494340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14277 by -3.\nAnswer: -4759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 712*j - 45574. Calculate t(64).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzwwzzwzwwwwwzzw.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 22 + 18. Suppose 0 = z + z - r. Suppose z*m = -4*i + 947, 5*m - 2*i - 768 = m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Suppose m + 3*m + 3*y = 8, r*m = 2*y + 18. Suppose i = -3*s + 2, -m*i + 3*s = -3*i - 4. What is the highest common factor of 14 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (7 + (-4 - -6) + 0)) + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 236, 252, 284, 338?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 3. Let m be n(3). Let t = 8 + m. Suppose -k + 4*k + f = 37, -4*k + t*f + 66 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14993104 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = w + 2*w, 0 = 4*o - 2*w + 2. Let u(x) = 4*x - 1. What is u(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1809)\/(-45) - (-2)\/(-10). Find the common denominator of 69\/22 and (-538)\/(-120) - 16\/j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/600 + v**5\/300 - 22*v**2. Let n(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba - 7f?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -15*p + 159. Let z(x) = 7*x - 80. Let t(q) = 3*n(q) + 5*z(q). Differentiate t(r) with respect to r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2193*h**2 - 102*h - 102. Let p(s) = -184*s**2 - 19*s + 9. Let q(o) = -173*o**2 - 17*o + 7. Let a(i) = -6*p(i) + 7*q(i). Give -102*a(t) + 5*d(t).\nAnswer: -51*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -82*v - 1297. Let s be c(-16). Solve s = -3*r, -8*r = 4*y - 6*r - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -2\/5, -10, 16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2744 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810) - (sqrt(810) - 1*sqrt(810)))\/sqrt(2)*-2.\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 5:51 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8 - (8 + -17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.74717 and 2.\nAnswer: -1.49434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*k - 2524 = -364*k - 1948 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14899035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + t**2 + 3*t**3 - 2*t**3. Let g be j(-1). Let -4*h**3 - 3*h**2 + 4*h**g + h**2 + 2*h**4 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y - 243 + 54. Let f(x) = x**2 + 8*x - 1. Determine f(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.11 (b) 17.7 (c) 353\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*l + 18 = 0, -3*l - 25 = 2*u - 4. Is 3\/u*-372 - 1\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(22 - 22 - 4*g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -532?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or -1010946?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 + 7*a. Let d(z) = 6*z**2 - 7*z. Let m(x) = -2*d(x) - 3*f(x). What is the second derivative of m(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79393 is divided by 26463.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16364 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let m(o) = -171*o**2 - 384*o + 2. Calculate s(m(c)).\nAnswer: 342*c**2 + 768*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 3:20 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507721713?\nAnswer: 3, 169240571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = 6*g + 3, 4*h = -7*g + 9*g - 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 2*k + 45. What is the lowest common multiple of 8 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2860)\/240 - -12)\/1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.15 (b) 551 (c) 1\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/10929560 and 89\/52402?\nAnswer: 76506920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -80*j - 15. Let v be s(-4). Suppose 7 = 26*y - v. Solve -15*t - 15 = -y*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*b - 356 = 0, -l = -3*l + 5*b + 178. Suppose 3*i - 12 = 0, m - 6*m - i = -l. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13182 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 30*u**2 - 116*u + 7. Calculate x(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 18*u - 10. What are the prime factors of y(14)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 362.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*l - 5 = l, 0 = -3*u + 4*l + 25. Determine b, given that 1 + u - 5 - b**3 + 3*b - 5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938\/16*22 - 188\/(-752).\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 - 11133403023?\nAnswer: -11133402411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-49) + 370\/(-35). Let w be (2 - 0) + 5*1. Let j = r + w. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 13*m**4\/2 - 2*m**2 + m + 87. Find the second derivative of h(i) wrt i.\nAnswer: 156*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1201 + 577 = -r - 51*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1195 (base 12) to base 13\nAnswer: b99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + -1 - (7 - 7). Let g = -330 - -362. Let r be 35\/10*g\/56. Solve -5*d = -2*m - r*m, -5*m = -4*d - x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000982987394 to six dps.\nAnswer: -0.000983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/26377539 at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 859.71286 to the nearest 10.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/21*354\/(-10). Solve -23 = 9*g - k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.03, -2, -8\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**3\/4 + 6*m**2 - 13*m\/4 + 1\/2.\nAnswer: -(m - 2)*(3*m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 2\/9, 1\/5, 2, 11040, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 369\/189 - (-10)\/(-35). Which is the fourth smallest value? (a) -2\/11 (b) k (c) -35 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5549 and 1283944267?\nAnswer: 5549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -13*g**6\/30 - g**5\/60 + g**3\/6 - 8*g**2. Let l be d(-1). What is the units digit of (-8)\/l + (-216)\/(-52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3163 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 3*z**2 - 2 + 0*z + 2*z. Let n be (-7)\/(-2)*(32\/56 - 0). Let v be w(n). Is -6 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 90*c - 51*c + 53*c + 39*c - 5.\nAnswer: 131*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-4 + sqrt(27))\/(sqrt(225)*1)*4 + 3.\nAnswer: -12*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 23*x - 21*x - 30 = 0, -3*x = 2*r - 24 + 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 49*a**2 + 24*a. What is k(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-45) - 6\/54. Suppose q = 2*x - 19 + 13. Let h(n) = -n**2 + 4*n. Calculate the remainder when h(2) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from jhkgukk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (307 - g - 307)*(-1 + 0 + 4).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367 + 463 = 12*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-640)*-40*1*(-3)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020324?\nAnswer: 2, 3, 85027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.5, 2, -1\/54, 1, -43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 242 = 4*p. Suppose 8192 = -p*n + 23119. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2482154*u**4 + 2*u**2 - 3*u + 10387627?\nAnswer: 29785848*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 7*v + 18. Suppose b - 21 = -y, 5*y + b - 99 = -2*b. Calculate the greatest common factor of v and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 30. Calculate the lowest common multiple of 8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 59. Put m, -4, 3, -2 in decreasing order.\nAnswer: 3, -2, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -231*(-39)\/(-52)*(-4)\/(-3). Let n = -203 - x. Calculate the remainder when n is divided by 2*(-8)\/(2\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40487*f**4 - 56*f**2 + 8*f - 149484232?\nAnswer: -161948*f**3 - 112*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/(-6))\/4 - (-10)\/30. Let q(w) = -c*w + 2*w + 3*w. Let v(g) = 3*g - 4*g + 0*g. Determine v(q(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = w + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3700855 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 5 + -12 + 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33648?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16\/3, -2, 4\/7, 1, -4, 5, -132?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 7, 8, -1, -26?\n\"Answer: -y**3 + 4*y**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377296 times 0.1?\nAnswer: 237729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42075 and 84150?\nAnswer: 84150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404319594.\nAnswer: 2, 109, 6441833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 46*z**2 - 60*z.\nAnswer: -2*z*(z - 10)*(2*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 719100 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120503192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(7) - (sqrt(7) + sqrt(56)\/sqrt(8) + sqrt(7))) + 4 - ((sqrt(175)\/sqrt(5))\/sqrt(5) - (1 + sqrt(343))))**2.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -563*b + 133*b - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a0a - -2?\nAnswer: -a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:33 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 3)\/(15\/(-110)). Let u be (-166)\/(-8) - 4\/(-16). Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 16*x - 22 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8059\/8 - 3017\/3. Let u = 2828 + -178168\/63. Find the common denominator of w and u.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 89588 and 3.53.\nAnswer: 89591.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 1. Let n(b) = -6*b**2 + 2*b + 5. Let k(d) = n(d) + 5*u(d). What is the second derivative of k(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623 (base 8) to base 5.\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, -1, 2 in ascending order.\nAnswer: -23, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/5973300 and 17\/80.\nAnswer: 23893200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 - p**2 + p + 2. Suppose 2*k - 17 = -5. Let n = k + -4. Does 15 divide l(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861177933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6447353 (base 8) to base 4\nAnswer: 12210323223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -3)*(-38)\/(-8). Let q(s) = s**2 - 21*s + 40. What is the lowest common multiple of 16 and q(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -10000100101?\nAnswer: 10000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 712, 1363, 1906, 2287, 2452, 2347, 1918, 1111?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21988, 22059, 22132, 22207?\nAnswer: 22284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 r when four letters picked without replacement from rrxrjjxjrjrrr.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 + 3097*t - 537 + 269.\nAnswer: 3097*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 164838658 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 1) + -22 + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 0*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 85790040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180281, -180254, -180217, -180170, -180113?\nAnswer: -180046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0 - -2) + -1 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.7, -2, -22, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1303223?\nAnswer: -1303213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102*(-15)\/9*(-33)\/330. Solve 33 = -t*g + 101 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224247 to the power of 1\/2, to the nearest integer?\nAnswer: 2868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, p: 4}. Give prob of sequence gpgp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2667 (base 10) to base 8\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -36) - 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x - 3 + 2*x + 2*x. Let u be n(-6). Suppose -83 = -5*h - u*r, -36 = -3*h + r + 25. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3 + 76\/3*w**2 - 160\/3*w.\nAnswer: 4*(w - 2)*(19*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 0*y)*(1 - 3 + 0) + (-3*y - 3*y + 7*y)*(2 - 1 - 2).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175, 176, 177, 178, 179?\n\"Answer: o + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-228)\/8)\/(12\/(-56)). Suppose -83 = -6*t + r. Let d = 182 + -163. Calculate the remainder when t is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4848 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l - 5*n - 65, -5*l - 4*n = -83. Suppose 8*r - l = 41. Let y(v) = -v + 9. Determine y(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77414\/39 + 1985. Let n(i) be the first derivative of -7 + 2\/65*i**5 + 0*i**4 + 0*i**2 + l*i**6 + 0*i**3 + 0*i. Factor n(u).\nAnswer: 2*u**4*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 6 + -12*289\/612. Let o = -1 + 1.7. Suppose 3*s - 2 = 4*s + 5*w, s + 3*w = -2. Which is the second biggest value? (a) j (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -121*b - 521. What is the remainder when 524 is divided by t(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 19*p - 22. What is the remainder when q(-10) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-105)\/(-28))\/(-5))\/(42\/(-16)). What is the nearest to 1\/7 in 0.4, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.22*0.3583.\nAnswer: 1.153726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6507 from -0.502201.\nAnswer: -6507.502201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 3, i: 6, u: 7}. Give prob of picking 2 u and 1 i.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 26 - 15 - 8*f + 22*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-6) + 3 + (-68)\/24. Let x(d) be the first derivative of -n*d - 48 + d + 3*d**3 + 31 + 13*d. Differentiate x(i) with respect to i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-29)\/(-9) - 1) + 20\/(-90). Suppose -u*g + 253 = -265. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -6*v + 2*v + 5*o, 3*o + 19 = v. Let j be (-3)\/v - (-90)\/63. Find the common denominator of -31\/6 and 378\/140*-7*j\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 - 4. Let c be d(-3). Let b be (-32)\/(-30) - (5 + c). Is -1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/39 - -1 - (-4)\/(156\/43089). Which is greater: w or 1106?\nAnswer: 1106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - 2*s + 2*s)*(41*s + 19*s + 4*s).\nAnswer: 128*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 32*g**3 + g**2 + g - 1. Determine j(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/2 + 11*s**3\/2 - 13*s**2.\nAnswer: s**2*(s - 2)*(s + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -313*s**4 - 1909*s + 1811*s**4 + 77*s**2 - 77*s**2 wrt s.\nAnswer: 17976*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 2, 46 in increasing order.\nAnswer: -4, 2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 - 1.7. Which is the nearest to -3? (a) p (b) 4\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, 8, 0.5, 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, c: 1, q: 11}. What is prob of picking 2 q and 1 y?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 6*u**2 - 6*u + 3. Let r be s(-7). Let t be ((-30)\/8)\/(1\/r). Suppose -t = -2*i - 3. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-17*20\/(-2210))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izizz. Give prob of picking 3 z and 1 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 897923951109 plus -5?\nAnswer: 897923951104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 512, -213, 4 in ascending order.\nAnswer: -213, 2, 4, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -26*d - 3. Let k(v) = -v + 1. Let w(g) = 2*k(g) - o(g). Is w(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -32*s - 110. Let b be x(-2). Put -3, b, 5 in descending order.\nAnswer: 5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -76, 2, 0, -4, -2 in descending order.\nAnswer: 13, 2, 0, -2, -3, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -8 - -6 - 68\/20. Factor -l*k - 3\/5*k**2 + 6\/5.\nAnswer: -3*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/4*(-7 - 136\/(-24)). Let i = r + 48. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/((-18228)\/112))\/(2\/84)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7350)\/(-4900)*(-1)\/(-2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530050363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3854 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3274*f + 123*f + 281976 = -119*f for f.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5412104 + -17012104. What is j rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, 5, 1\/7, -0.36, -1\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 52849446 divided by -176754\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 376626 greater than or equal to 376626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -377.00000295 - -377. Round m to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77615, 78585, 79551, 80513, 81471, 82425, 83375?\n\"Answer: -2*k**2 + 976*k + 76641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*y + 38019, 5*d - 4*d + 5*y = 9486. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 14 - 6 = 2*o, 5*o + 4 = 2*q. Solve 4*r - 2*y = -q, -2*r - 4*y + 0*y = -14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8326 is divided by 4162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 126*b**2 + 144*b. Let u(d) = -d**2. What is n(u(p))?\nAnswer: 126*p**4 - 144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 2*j - 2. Let x(t) = -t**2 - t + 1. Let u(n) = -2*a(n) - 4*x(n). Let l(i) be the first derivative of 0*i - 1\/2*i**2 - 9. What is l(u(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 75, 65, 91, 165?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -62 (b) 412 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*sqrt(416)*4)\/((sqrt(2) - 1*sqrt(128))*2))**2.\nAnswer: 128*sqrt(13)\/7 + 13508\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 2981979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -1.5. Let m = q - -1.1. Let l = m - 0.2. Which is the biggest value? (a) 4 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j + 3*j + 3*j - 5*j. Let h(d) = -3*d. Suppose -4*t = -5*t - 8. Let p(k) = t*n(k) - 3*h(k). Calculate p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:28 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 131. Calculate the remainder when 217 is divided by ((-1540)\/b)\/(1\/(-3)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113286 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132780310067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17868 + 651*k**2 + 17868.\nAnswer: 651*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + -1)\/(20\/(-8)). Suppose -4*r = -z*v - 12, 2*r = -3*v + 3*r - 3. Suppose -5*l - 30 = -t - 2*t, 2*t + l - 33 = v. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrlr when four letters picked without replacement from urrrrrllllr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + 26*p**2 + 2*p + 19. Calculate the least common multiple of 15 and n(13).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 21*s + 95. Calculate the lowest common multiple of j(-18) and 7.\nAnswer: 4823","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 118 and -2?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*(-102)\/272.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12114568 to the power of 1\/2, to the nearest integer?\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8888 - -8891. Put 0.14, 5, o, -0.1, -0.8 in increasing order.\nAnswer: -0.8, -0.1, 0.14, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 14) + (-29 - (58 + -76))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -13. Let y be (-4)\/p*6\/(-4). What is the tens digit of 8\/(-8)*(y + -80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250*r**3 - 145*r**2 wrt r?\nAnswer: -1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -9, 10, 1\/2, -1\/9, -68, -0.04, 5?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918066.\nAnswer: 2, 43, 33931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (-25 - 16 - -117)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001891481 to seven decimal places.\nAnswer: 0.0001891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:49 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*z - 270, -5*y - 3*z + 4*z = 274. Round y to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (324\/1134)\/((-1)\/(-49)). Calculate the highest common divisor of k and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8551616 is divided by 180?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 3*t + 17*m + 13, -3*t + 4*m + 17 = 0. Sort -2, 49, t, 5 in ascending order.\nAnswer: -2, t, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1063 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by 1903577.\nAnswer: -110\/1903577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 14 (c) -481655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -260309*s + 1251. Is y(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197523.\nAnswer: 3, 17, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14283*k*u**3*x**2 + k*u**3 + 15*k*u**2 - 10315*k*u*x**2 + 16*k*u + 2*u**3 - 11*u**2 + 9 wrt x.\nAnswer: -28566*k*u**3*x - 20630*k*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n*n\/((n*n**33)\/n))*n**35)\/((n*n*n**15)\/n)**(-2\/21) assuming n is positive.\nAnswer: n**(1481\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -527.99 to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/176 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*a - 1 = 0, -2*a + 0*a - 2 = 0. Do t and -1\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*p - 83, -p - s - 34 = 3*s. Let o = -19 - p. Calculate the highest common divisor of o and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - (-16 + 7 + (-2 - -2)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 11:08 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 7*b + 16)*(-1 + 0 + 0)*(0 - 1 - 3)*(2 - 2 - 2*b) to j*b**2 + d + f*b and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, k: 1, c: 2, n: 2}. Give prob of picking 1 c, 1 k, and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 14*w - 15. Let u(q) = 0*q**2 + 7*q**2 + 0*q - 2*q**3 + 1 + 3*q**3 + 2*q. List the prime factors of u(w).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 113*n**2 - 5*n + 50293.\nAnswer: 113*n**2 + 50293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**3\/6 + m**2\/2 - 5*m. Let s be y(2). Are s and -3\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 8347941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001110011100 + 1?\nAnswer: 10001001110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 15}. Give prob of picking 3 y.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 194634563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x**2 + 2*x - 3. Let n be t(2). Suppose 3*h - 380 = r, 6*h - 5*r = 7*h - 100. Let z be 50\/h - 38\/(-5). Solve -n*s = -3*s + z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 3*i + i + 5*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/2)\/(-1) + -7. Calculate the remainder when 31 + 4\/((-12)\/k) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 49. Let y be (2 + -1)\/o + -1. Solve -2*b + 4 = -y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -608 + 608 + 26*p**3 + (-22 + 22 + 12*p)*(-p**2 + p**2 - p**2 + (4 + 0 - 2)*(-p + 2*p**2 + p) + 3*p**2 - p**2 - p**2).\nAnswer: 74*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**25*l**24 assuming l is positive.\nAnswer: l**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/3 - 32*w**4\/3 - 30*w**3 - 88*w**2\/3 - 29*w\/3.\nAnswer: -w*(w + 1)**3*(w + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 - -232. Let w = y + -17. Suppose -5*d = -d - w. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45*27\/45 + (-4 - 0). Solve m - 3*y = -m + j, -5*m - 5*y = 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 2. Let s(w) = -6*w**2 + w - 5. Suppose -5*p = m + 25 - 2, 2*m = -2*p - 6. Calculate m*s(l) + 5*f(l).\nAnswer: 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/3 + 15*w**2 - 485*w\/3 - 175.\nAnswer: 5*(w - 7)*(w + 1)*(w + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 940.6 - 941. Sort -3.7, -4, -2\/3, w in increasing order.\nAnswer: -4, -3.7, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -14.1578.\nAnswer: -15.1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 111969134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkwfrreefr. What is prob of picking 1 e and 1 r?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10445 + -10608. Sort -0.1, 15, 0.3, k in ascending order.\nAnswer: k, -0.1, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91\/25 - 199\/100. Let i(t) be the first derivative of 1\/10*t**2 + 8\/15*t**6 + 8\/5*t**5 + 2\/3*t**3 + 7 + a*t**4 + 0*t. Suppose i(x) = 0. What is x?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9534*s**4 + 2*s**2 - s - 6114715 wrt s?\nAnswer: -114408*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 3477?\nAnswer: -3477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (376\/(-28) + 4)*(5 + -26) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 19044879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 + 73 = -6*v + 156 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**2 + 6*n + 1. Let g(m) = 1. Let v(q) = -4*g(q) - r(q). Let y(h) = -8*h**2 - 7*h - 6. Give 7*v(f) - 6*y(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -3)\/((-3)\/4). Solve -2*b - 7 + k = -3*y, 5*y - 3*b = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:27 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + c**2 - 2*c**3 + (-2*c**2 + 0*c**2 + 5*c**2)*(1 - 1 + c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 b when three letters picked without replacement from {b: 3, c: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24739 - 1?\nAnswer: 24738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*h - 27, 0 = 2*h + 17*p - 21*p - 24 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 0, -5*m + 2*t = 3*t + 120. Let j = 26 + m. Let v(h) = -13 + 0*h**2 - h**j + 0*h**2 + h. Give v(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15884123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3511, -7037, -10517, -13927, -17243?\n\"Answer: 4*a**3 - a**2 - 3551*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 219*u**2 + 9762*u - 927. Give t(-257).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p - 257 + 11 = 0. Let d = 10 + -14. Sort 11, d, p.\nAnswer: d, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5 - 1996*u**4\/5 - 85184*u**3\/5 - 132404*u**2\/5 - 49206*u\/5 = 0. What is u?\nAnswer: -139, -59, -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3714 = -779*y + 60656 - 9061 for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -11. Put 0, -2, -3, v in decreasing order.\nAnswer: v, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -6 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 2*k + 2*k - 4*k in the form w + v*k and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281982603.\nAnswer: 3, 7, 31, 61879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1, -0.1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178662 - 178645. Let p(r) = 4*r**3 + 2 + 3*r**2 + r**3 - 4*r + 0*r. Calculate the remainder when p(2) is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 2 - (-47 - -44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45c77a (base 13) in base 10?\nAnswer: -1655625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.700143 + -31.7. Round j to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 65870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-522)*(-360)\/(-40).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 + 5*v - 8. Let i(c) = -c**3 + 14*c**2 + c - 20. Let k(q) = q**2 + 6*q - 13. Let a be k(-9). Let m be i(a). Determine r(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.108 - -33. Let y = z - -0.008. What is the biggest value in y, 0.2, 1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -5)\/(1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*d - 40*d - 15*d - 24*d to o + a*d and give a.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 183729, 367456, 551181, 734904?\n\"Answer: -b**2 + 183730*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277200 by -60.\nAnswer: 4620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 17*g**2 - 24*g + 11. What is the hundreds digit of w(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -131, -165, -235, -347, -507, -721, -995?\n\"Answer: -l**3 - 12*l**2 + 9*l - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -4*q**6\/15 - 47*q**4\/12 + 12*q. What is the third derivative of p(x) wrt x?\nAnswer: -192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131499649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 491 by 3.\nAnswer: 491\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8772 is divided by 337.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 - 4125*t**3 + 1403367*t**2 + 10101729*t - 25783974.\nAnswer: 3*(t - 691)**2*(t - 2)*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 16, -3 in decreasing order.\nAnswer: 16, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 204498859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6567320*c + 13134466*c - 6567126*c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132121 (base 7) to base 3.\nAnswer: 1020222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - (963\/(-66))\/(-3). Let z(a) = -a**3 + 11*a**2 - 26*a + 12. Let k be z(8). Is b less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3 + (-6*(-3 + 1 + sqrt(175)) - (-5 + 4*(sqrt(175) - (sqrt(175) + -1)))))*-4)**2.\nAnswer: -16320*sqrt(7) + 105424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 271 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3800 or -3801?\nAnswer: -3801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + 1 - 17. Let p(z) = 8*z - 11 + 30 - z**2 - 8*z - 16*z. Let k be p(g). What is the nearest to 1\/5 in 5, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 216*g**2 - 750*g + 162005. Give a(216).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-13 - (-4 - 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215 greater than 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7096011 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2) + -1 - -105. Let m be (-2)\/(-7) - j\/(-28). Find the first derivative of m - i + 4 - 6 wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/4687 and 52\/85347?\nAnswer: 3669921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2907 + -1785. Calculate the greatest common divisor of 306 and a.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 - 2*k - 5*k**2 + 2*k**2 + 3*k**4 as m*k**3 + u*k**2 + d + w*k**4 + v*k and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14583 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37\/4 + 9. Put 2\/3, p, -3 in increasing order.\nAnswer: -3, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 times -0.1?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1530*b - 1527*b + 4*k = 27, -3*b - 18 = -k. Are b and 3555 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 - 16*j - 781. Let r(t) = 3*t**2 - 10*t - 529. Give -5*g(a) + 8*r(a).\nAnswer: -a**2 - 327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -24 - 28 - (-14 - 2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 18 = 66. Suppose 2*j + h = 6*j - 39, -6 = -2*j - 4*h. What is the least common multiple of j and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2\/(-141))\/2)\/((-72)\/54). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/((l*l\/(l\/(l*l**1)))\/l)*l))**(-30)*(l**(-1\/3))**33)**(1\/44))**(1\/24) assuming l is positive.\nAnswer: l**(-1\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 795 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*v - 17 = 2*j + 171*v, 0 = 5*j + 4*v + 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 2*b + b**3 - b**2 - 3*b. Let h = 1249 - 1248. Let n be (-8*(-9)\/(-36))\/h. What is r(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -0.2, -0.8, -15, 7 in descending order.\nAnswer: 7, -0.2, -0.8, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 3*k, -3*k + 0*o = -2*o + 4. Let n = 5 - 5. Suppose -2*s - s - 12 = n. Sort s, k, 1 in increasing order.\nAnswer: s, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 34*z + 0*z)*((2 - 4 + 4)*(-3 - 1 + 3) + 23 + 10 - 10).\nAnswer: -630*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c**5 + 25*c**4 - 295*c**3 + 515*c**2 - 320*c + 60 = 0. What is c?\nAnswer: -6, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/202 or -116?\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 3. Let h(o) = -3*o + 6. Let s(f) = -5*b(f) - 3*h(f). Let g be 4 - -4 - (2 + 0). Let m be (-32)\/g + 7\/21. Give s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10727 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202314 and 134876.\nAnswer: 404628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-8))\/(2\/32*4). Let j be (-10137)\/(-372) - f\/(-8)*2. What is the greatest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1786156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -33. Let m be 4\/(-10) + 184\/10. Let g = m - 11. What is the remainder when a is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 216833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2063.8 + -2064. What is the nearest to 0 in t, -5, 3, 14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -14 + -10 + -4 - 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 116226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1986, 3964, 5942, 7920, 9898?\nAnswer: 11876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -3*y + 10, 116668*y - 116666*y = 4*u + 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/21*-3*1. Suppose 185 = 3*k + p*k. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 17 + 0*o + 14*o - 8)*(4*o + 3*o**2 - 4*o).\nAnswer: 42*o**3 - 102*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 40. Let r(g) = 2*g - g + 15*g**v + 5*g**2. List the prime factors of r(2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 0.1\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 120583140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 262\/(-20) + (-29 - 2328\/(-80)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 3:36 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**4\/24 - c**2. Let h(r) be the second derivative of -37*r**3\/3 + 145*r. Calculate h(i(q)).\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 11*c + 104. Is u(-17) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 23463.\nAnswer: 891594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(9)\/sqrt(3) + (sqrt(3) - (sqrt(192) + -1 - sqrt(192))))**2 - (5*sqrt(3)*1 + -4).\nAnswer: -13*sqrt(3) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10610 - -10609.5661. Let h = s - -0.433. Round h to 5 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -453373.5 to the nearest 100.\nAnswer: -453400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.8 - 0.8. Let f = 11 - w. Put f, -3\/7, -1\/4 in ascending order.\nAnswer: -3\/7, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*z + 3 = 13*f - 2*f, 13 = -49*f + 46*f + 4*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:11 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and ((-5)\/1)\/(10\/(-50))?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -14*z - 2. Let w be v(-2). Let d = w - 17. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:07 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-12))\/(13*(-78)\/10816)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 6*y**2 + 6*y**2 + 9*y**2 to the form q*y + s*y**2 + n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -0.5039?\nAnswer: 0.4961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 3*d - 3*d)*(-d**3 - 3*d**3 + 64*d**3)*(11 + 104 - 27) in the form s*d**2 + m + k*d + c*d**3 + f*d**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 5 (b) 1\/4 (c) 16\/7 (d) -384 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13859 is divided by 232.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 13*p**3\/2 + 65*p**2\/2 - 6*p + 6. Is 53 a factor of l(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + k + 2. Let b be r(0). Let w be ((-14)\/8)\/(-3*(-5)\/(-60)). Suppose 11*s - 4 = w*s. Solve -s + 3 = -b*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025*g + 1029*g = 5*r + 69, -5*g - 8 = r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/18 + (-115)\/(-30). Let d(c) be the third derivative of c**6\/120 - c**5\/20 - c**4\/24 - 3*c**2. What is d(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*u + 26 = 0, -4 = -6*u + 5*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-15))\/(w*(w*w\/(w\/(w\/(w**(-22\/5)\/w*w))))\/w)*(w**(-11))**(-17\/4) assuming w is positive.\nAnswer: w**(1147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 14\/3*v**4 + 152\/9*v**3 + 166\/9*v**2 + 8\/9 + 64\/9*v = 0.\nAnswer: -2, -1, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, m: 2, d: 1, i: 4, w: 2}. What is prob of sequence wmii?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 = -19. Suppose -4*t - 2*q = 1 + c, 2*q = -2. Let a(p) = -4*p**2 + 1 + 3 + 2*p**2 + 3*p**2 + 5*p. What is a(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 2*r - 7*r + r**2 - 2. Let u be c(-4). Suppose 0 = -4*n + q + 43, 4*n + q - 3*q - u = 0. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14306 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - -99 - (0 + -5 + 3). What are the prime factors of g - (6 - 3 - 4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(147) + (sqrt(147) + -1 + 3 - sqrt(147)) + sqrt(147) + -1)*1.\nAnswer: -3 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 1856. Suppose 4*j + 3*i - s + 45 = 0, -315 = -3*j - 2*i. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*g + 125, 2*g - 34 = y + y. Let m = g + -15. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*(-48)\/6. Suppose 2*d - 2*o = 8 + 8, n*d + 3*o = 11. Let f be 9\/5*495\/297. Solve f*w - c + 2 = -3, 2*c = d*w + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1178)\/31)\/76*2\/(-13)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t - t + 9*t + 24*t**2. Let l(j) = -2*j. What is r(l(m))?\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(32\/5040*-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-32)\/(-110)*61\/976).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*a + 3*a - 7, 0 = -5*a. Suppose -w + 32 = -5*m. Which is smaller: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(100) - -1*sqrt(100))*2 + -2*(sqrt(100) + sqrt(100) + sqrt(100)*-2) + sqrt(100))\/(sqrt(14)\/(-6*sqrt(112))))**2.\nAnswer: 720001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 11 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) 0.1 (b) -2 (c) 10 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0.01864.\nAnswer: 1.98136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 + -3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155760553 by 13.\nAnswer: 11981581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 49, 4 in increasing order.\nAnswer: -4, -3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - l - 2*l + 3 = 0, 5*g = 2*l + 33. What is the second derivative of 6*i - 9*i + 7*i**5 - 4*i**g - i wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:58 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*l**3*v**2 + 97*a**2*l**3 + a**2 - 2141*a*l*v**2 - 17*l**3 + 7*l**2*v wrt l?\nAnswer: -6*a**2*v**2 + 582*a**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 556, 1572, 3050, 4990, 7392, 10256?\n\"Answer: 231*q**2 + 323*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aoaalamolaloma.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + 72\/7. Let o be -3 + (-410)\/(-130) + 24\/13. Solve -c = o*x - 7*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t - 10940 + 11109 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q**2 + 6. Let h(z) = -z**3 + z**2 - 1. Let g(f) = -d(f) - h(f). Let x be g(-5). Let i = 34 - x. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 - 2*k**5 + k**5 + 1 + k**5 - 1 + (0*k**2 + 3*k**2 - 4*k**2)*(2*k**3 + 0*k**2 + 0*k**2) - k**5 - 4*k**4 + 4*k**4 - 3601 - 70*k**5 + 3601.\nAnswer: -77*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -262*i**6\/3 + 2*i**5\/5 - 217*i**3\/3 + 102. Find the third derivative of r(l) wrt l.\nAnswer: -31440*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/88799 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184112 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*10\/(-4) + 0. Suppose -5*r = -y + 6 - 71, q*y - 81 = -4*r. Calculate the lowest common multiple of 18 and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/32 + 407\/416. Which is the third biggest value? (a) t (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/4 + 6154777*z - 37881279919729 = 0.\nAnswer: 12309554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - -3) - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/17)*y)\/y**(4\/7))\/(y**(-2\/25)\/y**10) assuming y is positive.\nAnswer: y**(36863\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Let l be 21\/(-14) + 1 + 12\/6. Which is the third smallest value? (a) -1\/2 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2))**(-26))**(-3\/23) assuming y is positive.\nAnswer: y**(39\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861657*r**2 + 101*r - 187*r + 86*r.\nAnswer: -861657*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = 169 + 15. Let l = -3 + 5. Suppose 0*y - y = -5*v - 1, -2 = -2*v. Solve 0 = l*r - y*r + a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*h - 70. Let b(p) = -p**2 - 10*p - 6. Let w be b(h). Is w at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**4\/9 + 4*w**3\/27 + 16*w**2\/9 - 16*w\/3 - 1136. Suppose a(b) = 0. Calculate b.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3 - -3) + 19 + (-3512 - -3528)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -1, 1, 25, -5 in descending order.\nAnswer: 25, 1, -1, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b - 1. Let u be l(1). Suppose -3*c + 2 = u*h, 2 = 5*c - 2*h - 10. Find the common denominator of -101\/20 and c\/1 + 78\/(-28).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.385 - -1.585. What is the fourth smallest value in 0.19, 3\/2, -9, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/10)*y)\/y*y*y*y\/(y**4\/y)*y*y assuming y is positive.\nAnswer: y**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 + w**3\/3 + w**2\/2 + 41*w. Factor f(g).\nAnswer: (g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4 - 1224*y**3 - 8636*y**2 - 18552*y - 11142 = 0.\nAnswer: -3, -1, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 37. Let c be d(-15). Find the third derivative of -5*b**2 - c*b**3 + 2*b**3 + 6*b**2 - 14*b**3 wrt b.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 0.18, 7\/15, -2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -564*p**3 + 4*p**2 - 31*p + 27. Calculate b(1).\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65 - -46d?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2 - 75*s - 8100 = 0 for s.\nAnswer: -60, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**2 + 22*k**2 + 14*k**2 to l + y*k**2 + g*k and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -1)*(-3)\/6. Let a be 0*(h - 2) - -81. Does 27 divide (3 - 1)*a\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(102) + sqrt(102)*-2))\/(2*sqrt(726)) + -3 + 2*(sqrt(170)\/sqrt(90) - sqrt(17)))*1.\nAnswer: -50*sqrt(17)\/33 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639433 is divided by 319605?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -927 - -1327. Calculate the remainder when r is divided by 82.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 138\/(1 + 21\/(-12)). Let l = 363 + u. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6247692 and 143\/63108?\nAnswer: 6247692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349611515?\nAnswer: 5, 11, 6356573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Suppose -j*d - 52 = -5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - a - 757 = 0, -3*m - 3*a - 193 = 377. Is 7 a factor of (m\/18)\/((-6)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -27*i + 23*i. Let p = -40 - i. Is 9 a factor of ((-8)\/p)\/((-1)\/52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.15, 4, -1094\/5, 1\/8 in decreasing order.\nAnswer: 4, 0.15, 1\/7, 1\/8, -1094\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -26. Let n = x - -17. Suppose -n*o = -2*y + 14, 8*o - 14 = -2*y + 4*o. Solve y*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/8 - 5079*f\/4 - 351855\/8.\nAnswer: -3*(f + 35)*(f + 3351)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 1769*q + 1764*q - 46 = 0, -41 = 3*w + 4*q for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i + 20. Let y be h(6). Suppose -x - 13 = 4*k - 8*k, 0 = y*x + k - 10. Factor b**2 + 1\/3 + 1\/3*b**x + b.\nAnswer: (b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b5 - 5fd5f?\nAnswer: -5fcaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232542300, -465084599, -697626898, -930169197?\nAnswer: -1162711496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6065 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d5 + -2a31?\nAnswer: -294b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**5\/60 - y**4\/6 - 31*y**3\/18 + 6*y**2 - 8199*y. Factor v(z).\nAnswer: (z - 9)*(z - 1)*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97012714.\nAnswer: 2, 29, 137, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 3*u - 1. Suppose -4*q = l + 6, 5*q + 7 = 2*l + 45. Let v be (-1)\/(-3) + l\/(-21). Let f(g) = -g**2 - g. Determine v*b(i) - 3*f(i).\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by -31752.\nAnswer: -11\/1764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 81, 163, 295, 495, 781, 1171, 1683?\n\"Answer: 3*v**3 - 2*v**2 + 35*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1\/3 (b) -14 (c) -1\/882 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -12. Let w be 6\/24 + 21\/y. What is s in -1\/3*s**3 + 1\/3 + s**w - s = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - k + 19 = 0, -3*o - 133*k = -138*k + 11. Which is the second biggest value? (a) o (b) 0.08 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027980812 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -5, 4\/10261, -1\/2, -1\/4?\nAnswer: 4\/10261","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 6. Let k(x) = 1. Let i(u) = -4. Let j(t) = 10. Let v(p) = -14*i(p) - 6*j(p). Let z(m) = 5*k(m) + v(m). Determine -d(n) - 8*z(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, 97, 228, 411, 646, 933, 1272?\n\"Answer: 26*i**2 + i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 3716 + 4*y**3 - 3721 + 0*y**2 to the form i*y**3 + n + u*y**2 + f*y and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:23 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 845691787 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 4, 246, 1 in increasing order.\nAnswer: -12, -1, 1, 4, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398, 794, 1190, 1586?\nAnswer: 1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/3)*d*d)**(3\/19)\/(d**(-1)*d*d**(2\/15)))**36 assuming d is positive.\nAnswer: d**(984\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a + 35353?\nAnswer: 35296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 54*b**4 - b**2 - 5*b + 2. Let x(n) = -54*n**4 + n**2 + 6*n - 2. Let u(z) = 6*t(z) + 5*x(z). Find the third derivative of u(w) wrt w.\nAnswer: 1296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 10 + 5*g + g**2 + 4)*(-g**2 + 2 - 2).\nAnswer: -g**4 - 5*g**3 + 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -7. Let k = -5 - l. Suppose -k*i = -5*d - 11, i + 0 - 5 = 3*d. What is the smallest common multiple of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/56*32)\/((-12)\/14)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 196\/(-196)*(-1)\/7. Let a = 2 - 1. What is the closest to -2 in -0.4, v, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.622 less than -30026551.8?\nAnswer: -30026551.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*1\/3*(-77)\/(-44). Which is the closest to -1\/5? (a) 2 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2998, 11256, 25020, 44290, 69066, 99348, 135136?\nAnswer: 176430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.9 <= -10801.652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 30*m - 101. Give b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -1\/6*p**3 + 15 + 1\/2*p**2 + p. Suppose 5*a + 5*i + 15 = 0, 4*a + 16 = -a - 4*i. What is r(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 167687 = 9058. What is the greatest common divisor of h and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17458 and 291798?\nAnswer: 2042586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -23*u**2 + 18*u + 24. Let i(w) = 4*w**2 - 1. Let l(m) = -h(m) - 6*i(m). Determine l(-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 8. Let x(d) = 1. Let c = -1 + 4. Let m(a) = -3*a**3 + 0*a + c*a**3 - a - 2*a**2 - 2*a**3. Let f be m(-1). What is f*g(u) + 6*x(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*y = 12, 4*a + a + 5*y = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by (3\/6)\/(3\/66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(sqrt(196) - sqrt(196)*-2))\/(sqrt(24)\/((sqrt(12) - sqrt(108))*-5)))*-1.\nAnswer: 5 + 1260*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014321 (base 5) in base 4?\nAnswer: 10013010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1399*s + 20. Let l(y) = 2*y**2. Calculate l(t(x)).\nAnswer: 3914402*x**2 + 111920*x + 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1\/2, -5\/24, -0.4, 18240 in increasing order.\nAnswer: -1\/2, -0.4, -5\/24, 7, 18240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by -7\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 6. Let k be 2\/(-6)*-3*2. Suppose -k*c = 3*c - 90. Solve c = 5*u + g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 11. Let u be x(-8). Let t be (4 + -4)\/(-1 + u). Is (-60)\/(-4) - (3 + t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*z - 16 = -37*z, 4*l + 8 = 4*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 321816 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -0.03 (c) -3 (d) 1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000903162249 to seven decimal places.\nAnswer: 0.0009032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.48 + -2.58. What is the nearest to 2\/5 in t, -1, -28?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -1945*u**3\/6 + 413*u**2 - 263*u. What is the derivative of p(w) wrt w?\nAnswer: -1945","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3303039 millilitres in litres?\nAnswer: 0.0003303039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3974586 and 3822.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9600760 by -369260.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and -1.61.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62724*b*c**2 + 25739073*c**2 with respect to b.\nAnswer: -62724*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.959 and 150709052.\nAnswer: 150709049.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 740 + -677. What is the greatest common factor of 99 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*r + 369*r - 843 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 3*z - 5. Calculate the remainder when d(8) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**6\/8 - g**4\/6 + 2*g**3 - 39*g. Let k(j) be the second derivative of i(j). Differentiate k(z) with respect to z.\nAnswer: 90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -249, -973, -2171, -3837, -5965?\n\"Answer: b**3 - 243*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -6, -3 in increasing order.\nAnswer: -6, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1. Let x(k) be the second derivative of k**3\/3 - 5*k**2 - 5572*k. Give -4*g(n) + x(n).\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -215\/2 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 18*d**2 + 167*d + 1261. Give m(-13).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**3 + 11147*a**2 - 11153*a**2 + a - a**4 - 3*a**3 + 4*a**3 - 5*a**3 - 14 in the form m*a + c*a**3 + i + t*a**2 + x*a**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34242\/2145 - 6\/(-165).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6274142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h + 10*h**2 + 0*h. Let x(q) = 55*q - 78. Let p(d) = 156*d - 221. Let c(y) = -6*p(y) + 17*x(y). Calculate i(c(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2670*z + 97644 = 1193*z - 120636 - 314814 for z.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 6:59 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4004023 + 24?\nAnswer: -4003444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111100011110101011 (base 2) to base 13.\nAnswer: -14b0c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 4*n - n + n + 3*n**2 as m + g*n**2 + i*n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*h - 21 = 0, 0 = 4*d - h + 3 - 113. Suppose 10*m - 193 - d = 0. Suppose 27*n = m*n + 835. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -48. What is the first derivative of -4 + 18 + 10 + v*l**3 wrt l?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 84 + 17 = -3*u, u - 4*v - 9 = 0. Find the second derivative of u*s - 16*s - 4*s**3 - 12*s wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*r - 32 = 0, 3*d = -2*r - 69 + 101. Calculate the greatest common divisor of 28 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2. Let q(l) = -1513*l + 4. Calculate q(v(r)).\nAnswer: 4539*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*z + 15*z + 313*z + 170*z - 14*z as q*z + j and give q.\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 632, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 57*i**2 - 4*i + 16359. List the prime factors of z(0).\nAnswer: 3, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 + v. Let y(d) = -3*d**3 - 15*d**2 - d + 10. Let m(a) = -y(a) - 2*z(a). What is the remainder when 11 is divided by m(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10\/a**(-6)*a**(-1\/7)\/a**2 assuming a is positive.\nAnswer: a**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 5*t**4 + 0*t**2 + t**4 + 2*t**2 - 5*t**4 - 5*t + 3 - t**2 to l*t**2 + c + a*t**4 + z*t + i*t**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 226 and 3?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5)*n)**(4\/13)*(n\/n**1)**(16\/3) assuming n is positive.\nAnswer: n**(28\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-114)\/252 + (-2)\/(-4). Let j = -13\/21 - c. Suppose 0 = -4*d + 6*d. Sort 0.3, j, d in ascending order.\nAnswer: j, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 4. Let x be j(2). List the prime factors of -6*(194\/x - -1).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335869255?\nAnswer: 5, 17, 107, 36929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*(-3*sqrt(147) - sqrt(147)))**2 - (2 + sqrt(147)*-1)**2).\nAnswer: -84521 - 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by (-4*5\/(-4) - 5) + 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 - 28*k**2 + 60*k - 36 = 0. What is k?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -287 (base 9) in base 5?\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 15.6 (c) 0.8 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735914701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -142, -297, -432, -523, -546?\n\"Answer: 4*f**3 - 14*f**2 - 141*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (-2*(2*sqrt(132) - sqrt(132) - sqrt(132)) - sqrt(132)) + sqrt(132))*-2)\/((-2*sqrt(108) - sqrt(12))*-4) + 1.\nAnswer: -sqrt(11)\/14 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1096, 1100, 1104?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8638650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -21*o + 14*o + 9*o. Suppose -14 = 3*c + 4*j + j, -5*c + 6 = j. Let m(w) = w - w - w**c. Give m(k(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 4) to base 6\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -5 (c) -3\/2 (d) -0.19 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffdddvnvvvvdf?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8*q = 235950. Let h = q + 19525. What is h rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 54*d**3 - 8*d**2 + 8*d + 8. Let f(h) = -36*h**3 + 5*h**2 - 5*h - 5. Let n be -4*5*474\/1185. What is n*f(y) - 5*m(y)?\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - l + 0)*(2351 + 1598 - 519 - 370 + 118) as p + u*l and give u.\nAnswer: -3178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 11 = -1, -4*m - 32 = 4*z. Let f(l) be the first derivative of l**4\/2 + 5*l**3 + 3*l**2\/2 + 14*l - 1153. List the prime factors of f(z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*l - 3*l**5 - 9*l**5 + 5*l**5 - l**5 wrt l?\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 1 (c) 1\/2 (d) -1 (e) -5 (f) 47.97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynyzyyz. What is prob of picking 2 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -7*f**9\/72 + f**6\/60 + 211*f**5\/60 - f**3\/6 + 430*f**2. What is the third derivative of a(w) wrt w?\nAnswer: -5880*w**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7567 and -0.28136.\nAnswer: 7566.71864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:45 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 4*v**2 + 3*v + 6. Let j be a(-3). Let k(x) = x**2 - 6*x - 2. Determine k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13208291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -587*f**3 + 6*f**2 + 3*f - 3. Let k(c) = 1762*c**3 - 21*c**2 - 10*c + 11. What is 7*a(z) + 2*k(z)?\nAnswer: -585*z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2 in increasing order.\nAnswer: -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8034523 or -8034522?\nAnswer: -8034523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 10*w - 25. Let o be i(3). Suppose -o*y + 6915 = -1370. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - k - 1. Let w(s) = 3*s**2 - 10*s + 28. What is w(q) + 5*x(q)?\nAnswer: -2*q**2 - 15*q + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201929, 401506, 601083, 800660?\nAnswer: 1000237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6895280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 - 4. Let l(k) = -9*k**2 - 7. Let y(r) = 7*b(r) - 4*l(r). Let c(n) = -4*n + 2 + 3*n - n - 4. Give y(c(s)).\nAnswer: 4*s**2 + 8*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -1, -6 in increasing order.\nAnswer: -6, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 506.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 384?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -11120?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 5, -11, -33, -61, -95, -135?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -15.1, -5 in ascending order.\nAnswer: -15.1, -5, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*h + 21*h**2 + 2*h**2 - 3*h**2 - 17*h**2 - h**2 - 3 as w + q*h**2 + d*h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/9, 1\/6, -0.0276, 9\/2?\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-2)*(-1672)\/(-1368).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbn when four letters picked without replacement from {n: 2, b: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 91. Suppose -8*c = -r + 337. What is c rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 40380*i + 121138\/3.\nAnswer: 2*(i + 1)*(i + 60569)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, 2, -104170.\nAnswer: -104170, 2, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5543 + 2773 + 2770 + 13*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19900350 and 0.4707.\nAnswer: 19900350.4707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11101101?\nAnswer: -11110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5 - 60*a**4 - 1328*a**3 + 9364*a**2 - 14514*a + 6536 = 0.\nAnswer: -19, 1, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -775108 to the nearest one thousand.\nAnswer: -775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -9.58?\nAnswer: 0.2874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73, -169, -329, -553, -841?\n\"Answer: -32*x**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 16*k**2 + 27*k + 13. Let m(s) = 4*s**2 + 7*s + 3. Give 9*m(a) - 2*w(a).\nAnswer: 4*a**2 + 9*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -361*r - 4682. Give z(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0885, -1.2, 0.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -336*t + 269. Calculate q(1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 33*c - 5*x = -137, -c - x = -34. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004998821774 to six dps.\nAnswer: -0.004999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 592.1 to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + 2 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-2)\/(-18)*(7 + -13)). What is the third derivative of 7*w**b + 56*w**3 - 10*w**3 + 158*w**2 - 154*w**2 wrt w?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -3, 2, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guugggugugguggugugg. What is prob of picking 2 g and 1 u?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 - 52993452*w**3 - 222*w**2 + 276*w + 55?\nAnswer: 120*w**2 - 317960712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26896\/287 - 30 - (-6)\/21?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*n - 45. Suppose 10*x - x = -n. What is the tens digit of (x*2)\/((-8)\/408)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 133*t - 138*t + 30, 0 = -3*a + 2*t + 8. Let f(p) = -3*p**3 - 4*p**2 - p + 6. Let u(v) = -2*v**3 - 3*v**2 - v + 6. Determine a*u(i) - 3*f(i).\nAnswer: i**3 - i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93825*a**2 - 119588*a**2 + 81971*a**2.\nAnswer: -131442*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 4 - 4)*(2*k**3 - 2*k**3 - k**3) + (4 + 4 + 37)*(4*k**4 - 6*k**4 + k**4) in the form n*k**4 + q*k**3 + f*k**2 + m*k + v and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -0.17, -3, 2 in descending order.\nAnswer: 25, 2, -0.17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = w + 4*u, 2*u + 23 = 4*w + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.2 + 34. Which is greater: 1\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27804\/10153 or 2?\nAnswer: 27804\/10153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.6 - 2111.\nAnswer: -2117.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4388 - -0.05?\nAnswer: 4388.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 27. Which is the smallest value? (a) 2\/9 (b) r (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54512 (base 6) to base 16\nAnswer: -1d6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 22*t = -6544. List the prime factors of t.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9223529.83000028 + 9223530. Let f = 0.17 - d. Round f to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.053866722 * 0.2\nAnswer: 0.2107733444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + b = 9, -3*y - 2*b - 3*b = 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {z: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 3. Let o be (-6)\/(1\/(-1) - -3). Let z(w) = -1. Let m(u) = o*z(u) + i(u). Factor m(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-81)*-4*9\/(-1). Let p(n) = 2*n**3 - 5*n**2 + n - 3. Let f(u) = -2*u**3 + 5*u**2 - u + 4. Let t(m) = -6*f(m) - 5*p(m). Is 6 a factor of t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.542041 centuries in years?\nAnswer: 654.2041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11031113110 - 23?\nAnswer: -11031113133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -235*b - 1. Let i be n(-1). Suppose -3*q + 143 = 2*l, -5*q + i = -2*l + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 2*w + 41. Let p be g(8). Let t = p - 214. Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1 - -7 - (12 - 6))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/2 - 2317\/(-14).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 6, p: 1, a: 2}. Give prob of picking 2 a and 2 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7412*a + 544. Let u(x) = 68*x - 5. What is -544*u(c) - 5*v(c)?\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 22. Suppose 0*c + c = j. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*a**3*d - 65*a**3 - 3*a**2*d - 2*d - 23 wrt d?\nAnswer: -39*a**3 - 3*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h - 3. Let c be a(-4). Let w = c - 11. Suppose 2*x + w = 4*t, -3*t - 3*x + 12 = 2*x. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 10:00 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1072242+-5698.5901\nAnswer: -1077940.5901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 19. Sort 1\/3, -0.5, g in ascending order.\nAnswer: g, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*y - 0*y. What is the remainder when 28 is divided by (-1)\/(-4) - y\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8108, 14276, 18504, 20792, 21140?\n\"Answer: -970*z**2 + 9078*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 291863.8 centuries?\nAnswer: 29186380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 + -78 + (71 - (0 - (-5 + 8))).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 92134 = -106208. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 3, 1\/178, 3\/2?\nAnswer: 1\/178","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 3. Let i be g(-1). Let u(r) be the second derivative of 0 + 0*r**3 - 3*r - 1\/4*r**i + 0*r**2. Let c(h) = 2*h. Give c(u(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/692266 and -45\/38?\nAnswer: 13153054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - (-17 + 21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 6. Let y be m(0). Let q(h) = 2*h**3 - 8*h**2 - 8*h - 7. Let l be q(5). Suppose y*j = l*j. Sort j, 5, -4 in descending order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*q + 45 - 150 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -536 - -568 - (-1 + 1 + 3) - 13\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -661 smaller than -0.472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -4198?\nAnswer: -4198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19 - 1)*16\/12. Let c = q - 3. What is the units digit of 58\/5 + c\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137.764 - 138. Let y = i - 0.064. Put y, -0.04, -0.1 in ascending order.\nAnswer: y, -0.1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/5)\/((-5)\/(-5)) + 364\/(-65).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2527, -5056, -7599, -10162, -12751?\n\"Answer: -u**3 - u**2 - 2519*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)\/sqrt(6))\/sqrt(4) + -3)**2 - sqrt(117)\/(sqrt(36)\/sqrt(4)*-5).\nAnswer: -29*sqrt(13)\/5 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/240 - i**4\/48 + 6*i**2 - 3*i. Factor s(r).\nAnswer: -r*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1611 + -1647 + 0 + 31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*13\/(273\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2438 + -1178. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p - 7791 = -128*p. Calculate the highest common factor of 1176 and p.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/(-80)*4\/(-10)*124\/(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**7\/6300 - s**6\/900 - s**5\/300 - s**4\/4 + s. Let a(t) be the third derivative of y(t). Factor a(o).\nAnswer: -2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 = -5*f, -16*w + 11*w = 4*f - 4. Let q(g) be the first derivative of -7 + 0*g**2 - 8\/9*g**3 + w*g - g**4. Let q(v) = 0. What is v?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*a = -4*f - 222*a + 8, 3*f + a - 10 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 153*w + 58 + 147*w - 301*w + 10 + 38.\nAnswer: -w + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsdh when four letters picked without replacement from {d: 1, h: 2, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*l*s - 5*g**3*l + 10*g**3*s + 4*g**3 + 4*g**2*l*s + 4*g**2*s + 20*g*l*s + 39*l*s wrt g.\nAnswer: -6*l*s - 30*l + 60*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -13) + 2 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67889 + 67890. Suppose -4*v = 12, 5*w + 4*v = 2 - 24. Let f be ((-2)\/(-4))\/(w\/(-4)). Which is the closest to f? (a) r (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -612, -8, 0, 5486, -1 in descending order.\nAnswer: 5486, 1, 0, -1, -8, -612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n*n\/n**(-6)))\/n))\/n*n*n**4*(n*n**(-5))\/n*n*n\/n**1)**(-5) assuming n is positive.\nAnswer: n**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/4 + 753*v**3\/2 + 562473*v**2\/4 - 853902*v + 1285956 = 0. Calculate v.\nAnswer: -756, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2\/15 - (-97164)\/270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54769225 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 2*i + i - 13.\nAnswer: -i + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 5*m + 7. Let z be c(2). Solve -h = -4 + z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w - 4. Let h be i(-4). Let s = 152 + -140. Calculate the greatest common divisor of s and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -14. Let u = 8736 + -78626\/9. Put n, u, -6 in increasing order.\nAnswer: n, -6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-1 - sqrt(114))\/sqrt(6) + -1.\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1859\/20 + 93. Let m = -21\/80 - v. Let g = 8497\/1386 - 160\/63. What is the common denominator of g and m?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 579 = 2*t, 591 = 2*t + 3*c + 2*c. Let f be 3\/6*t\/4. Suppose 0 = -o + 6*u - 4*u - 4, -4*o - 5*u + f = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 8*i**2 - 68*i + 6. Let s be w(-13). Suppose -2*b = -2*g + 3*b - 15, -b = -3*g + 10. What is the greatest common divisor of g and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/60 + 2*o**2. Let w(t) = 7 - 3 + 3 - 16*t - t. Let n(c) = 9*c - 4. Let q(b) = -7*n(b) - 4*w(b). Determine q(m(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 55*g**2 + 726*g + 245. Determine d(66).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93326989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 8:12 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110220021 - 10122?\nAnswer: 110202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 411 + -168. Let q = -200 + h. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-7 - -18) + -25 - 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 22. Let t = u + 17.999981. What is t rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5\/4 - 404493*w**4\/4.\nAnswer: 3*w**4*(w - 134831)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2674 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032692348 rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 27*y**2 + y + 8. Give q(27).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2699, 5394, 8091, 10790?\nAnswer: 13491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6*t = 31*t. Suppose 2*f = -h + 17, -h + 34 = h + f. Let l be (-1)\/(-4) + h\/(-36). Is t bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -775382*s**4 + 3*s**2 + 1512379?\nAnswer: -3101528*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 10 + 0)*(-y**4 - 5*y**4 + 5*y**4)*(-6 + 4 + 3).\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9135 is divided by 2250.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(7\/280). List the prime factors of o\/8*(2 + 4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 19. Sort 0.04, y, 3 in decreasing order.\nAnswer: 3, y, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2350 and 25615?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Let m(x) = -x - 2. Give m(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007799113926 to six dps.\nAnswer: -0.007799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.5 (b) -0.1 (c) 3\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*v = 0, -2*v = 3*v. Suppose 3*q = -4*s + 4, d*s = 4*q + 2*s - 2. Let y = -3172\/7 + 452. Is y at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose 4*u = t*u. Let j = -4 - -3. What is the second smallest value in u, j, -3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let w(s) = 12*s**3 - 4*s**2 + s + 4. Let m be w(2). Suppose 4*z - n = -0*n + m, -5*z = q*n - 116. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-4 - -11) - (-1 - -43). Let k = -36 - r. Solve -3 = -3*i - 3*f - f, k*f = -5*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598029 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 4\/(-2) + 3. Suppose -w + i = 3*m, 4*w + 6*m = 2*m + 4. Which is the closest to w? (a) -1 (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2244 divided by 102.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjqj when four letters picked without replacement from {j: 2, y: 1, q: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*a = 127*a. Let c(z) be the first derivative of a*z**2 + z + 1\/3*z**3 + 45. Determine c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kkuukyzukkkycc.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55389 is divided by 1669?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 8 + 4*s**2 - 11*s**2 + 0 wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32790000 rounded to the nearest 100000?\nAnswer: 32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 279679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -82. Suppose -t = 4, h - 2*t = 8 + 10. Calculate the highest common divisor of h and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/6 (b) 1\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -964 divided by -2\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*v**3 + 6 + 27*v**4 - 13*v - 25*v**4 + 3 - 19 wrt v?\nAnswer: 24*v**2 - 246*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 166*j**2 + 20*j + 36. Is p(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 + -5 + 1 - -3. Suppose 5*t - 90 = -o*t. Calculate the highest common divisor of 45 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/198 and 97\/12.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -189*w - 2844. Calculate y(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2307.3732 rounded to 0 dps?\nAnswer: -2307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*h. Which is smaller: 38\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -423?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 985817400 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 216 = 286 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223863363?\nAnswer: 1223863363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 3)*(-2)\/(-2). Let t = r + 7. Suppose -t = -2*i - 2*i. Solve 8 - 2 = -i*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/(-130))\/(112\/120*3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 427811\/250440 + 1\/10435. What is the common denominator of (130\/(-12))\/(8\/(-6)) and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12113?\nAnswer: 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 42 - 6 = 0. Let a = b + -10. Suppose 7*q - a*q + 5*l = 60, -2*q + l = -39. Calculate the remainder when 49 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18855 + 18825 = 5*u, -2*g - 22 = 5*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4139 + 4119. Which is the nearest to 26\/7? (a) 3\/5 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkw when three letters picked without replacement from wwkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millennium in decades?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527967887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -163, 0.3, 357, -0.4?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*3\/(-2) - 75\/(-3). Suppose -107 = -3*h + b. Is h a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 13*o**2 - 13*o - 6. Let m be s(14). Let d = 5 - 2. Suppose d*p - m = p. Which is the third biggest value? (a) p (b) -0.1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 10*x + 42. Let b be d(13). Suppose 0 = -o - b*o - 20, 4*o + 17 = 3*a. Let s be (4\/(2\/a))\/(-21). Which is bigger: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 8672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 10:44 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s - 4. Let v be g(0). Let k(o) = -15*o**2 - 3*o + 1. Let l(j) = 83*j**2 + 18*j - 5. Let w(r) = -11*k(r) - 2*l(r). What is w(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Suppose 3*x + 13873 = u*m, -4*m = -5*x - 973 - 10115. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a**2. Let y(s) = s - 424. What is u(y(c))?\nAnswer: 12*c**2 - 10176*c + 2157312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m - m + 0*m)*(6 + 1 + 0) + 3*m - 2*m - 2*m)*(-3*m + 0*m + 5*m).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22051, 44214, 66379, 88546, 110715, 132886?\n\"Answer: z**2 + 22160*z - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7288117 = 2509867. Let p = f + -1383964606\/565. Let x = p + -5\/226. Calculate the common denominator of x and -31\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckc. Give prob of picking 1 k and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 851655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3\/4*s**2 - 3 - 3\/4*s**4 + 3*s - 5\/2*s**3. Factor o(r).\nAnswer: -3*(r + 1)*(r + 2)*(2*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 5*m**2 + 5*m. Suppose 0 = d + 4*d - 20. Let w be j(d). Solve 12 = -w*g, 3*g - g = -n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 2*r - 3. Let q be ((-4)\/(-2) - 3) + (-3 - -2). Calculate n(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 8706092.\nAnswer: 87060.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h + 4 - h**2 - 4 - 6. Let b be s(7). Suppose 0 = 4*l - 51 + b. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12101 (base 7) in base 15?\nAnswer: de2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3663698 minus -340.3433?\nAnswer: -3663357.6567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-8 - -5)) + (-149 - -164)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x - 11979 + 78825 = 0. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/((-1053)\/(-18)) - 880\/26. Suppose 0 = -0*g - g - 19. Let d = g - h. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -7, 1, 0, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-47)\/(-188))\/(10\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 + 2*b**2 + 2*b - 4. Let s be a(2). Let q be 1\/(-4) - (-130)\/s. Solve q*f + 5 = -4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0 + 4 - 1 - 4 + (3 + 1 - 3)*(1 - 4 + 2) + 4 - 2 - 1)*(-9*v + 10*v + 11*v).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2017953 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -705*y + 20258 - 54098 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 3*l**2 - l**3 + (l**2 + l - l)*(-3*l + l + 0*l) - 3*l + 3*l - l**3 + 40*l**2 - 40*l**2 + 12*l**3 + (2*l**2 + 1 - 1)*(-l + l - 2*l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16375, 16377, 16379, 16381?\n\"Answer: 2*a + 16373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 5) in base 4?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 122528\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + y = -580, -3*a + 4*y + y = -1748. What is the units digit of 18\/(-8)*a\/(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.333 - -6.273. What is the nearest to -1 in -1.3, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w - 0, 0 = -3*p - 5*w + 334. Do 105 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**10)**(1\/4)*(j**(1\/34))**(-2\/115))**(-28) assuming j is positive.\nAnswer: j**(-136822\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 20 = 3*g. Let m be (-44)\/1034 - (-1573)\/517. Solve y - m = -q, 3*y - 17 = -y - g*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66219 is divided by 1738?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a millennium in decades?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -21*c + 585. Let v be r(-14). Put -3, -4, v in descending order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (2 + -2 + -2). Let f(j) = j**2 - 6*j + 1. Let y be f(6). Let c = m - y. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2105 - 2809?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11278029 - -2\nAnswer: -11278027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 173*p + 622. Let d be u(-61). Solve -25*a - z - 4 = -26*a, -d = -2*a - 2*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 15. Calculate the greatest common divisor of f and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-11))\/(s\/(s\/(s\/((s*s**(-3\/8))\/s)))))\/((s*(s**(-14)*s*s)\/s*s)\/(s\/(s*s**(-1\/2)))))**(2\/77) assuming s is positive.\nAnswer: s**(1\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d - 34*d + 54. Solve -3*v = -3*b - 9, 5*b - d = v - 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = 620 + 1162. Let s = c - -76. Solve s = 2*y - 0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-3*(-17)\/51). Let l(r) be the first derivative of -12\/7*r - 9\/14*r**2 + 1\/7*r**3 - g. Determine i so that l(i) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 309423*b**2 - 7*b - 339365 wrt b?\nAnswer: 618846*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13342988851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 + -1.9. Which is the third biggest value? (a) -2\/23 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2828 - 16885\/6. Let h = 958 - 157. What is the common denominator of k and 3\/7 + h\/630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12644664*f**3 - 1946576*f + 5?\nAnswer: 75867984*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 13*u - 11*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 25*x**2 + 118*x + 4. What is w(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 188567*i + 188546. What is f(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 27*p**2 + 6*p - 3. Let w be k(-4). Suppose -8*b = -13*b - w. Let t = b - -139. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3960811361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = 6*u. Let y be ((-12)\/(-8) + 0)\/(12\/40). Suppose -16 = -4*c - 2*f, 1 + 16 = 3*c + 4*f. Solve 2*o = y*l + 28, -5*o - u + 10 = c*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.54*5092\nAnswer: -2749.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-6\/11))\/(v\/v**17)*((v**(-1\/6)*v*v)\/v)\/((v*v**(-3\/2))\/v*v) assuming v is positive.\nAnswer: v**(623\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6.2. Let v = x - -0.5. Let d(f) = f**3 + 7*f**2 + 5*f - 8. Let w be d(-6). Which is the closest to -1? (a) v (b) w (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -77d - -9?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 310839886.\nAnswer: 1554199430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -14. Suppose -5*x + 220 = 5*s, -5*s - 20 + 108 = 2*x. Calculate the highest common divisor of z and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 27*o - 30*o + 3*o - 4*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = -3*c. Suppose c = 15*r - 0*r - 45. Solve 0 = m + r*m + 4*f + 20, -4*m + 3*f - 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -5, 1764, 239?\nAnswer: 1764","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 + 0.2. Let y = 112.6 - 112.58. Which is the smallest value? (a) y (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1585*b**2 + 8*b - 5675 wrt b.\nAnswer: -3170*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (12 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 105. Determine f(-39).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1\/3, -5, -141?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 709, 730, 749, 766?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (123\/(-9))\/(2\/12). Does 10 divide 39\/26 - m\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 10*k**2 + 147 - 6*k**2 - 5*k**2 as l + s*k + o*k**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 170*a - 204*a + 136. Suppose 5 + 0 = q. Suppose -3*m + a*c + 564 + 306 = 0, -m + 271 = q*c. What is the highest common divisor of 26 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*q**3 + 1022*q**3 - 488*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310436 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -921*n**2 - 3671*n + 51. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 6) in base 3?\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/12 and 61\/2274?\nAnswer: 4548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.31 + 0.69. Let o = w + 3. What is the nearest to 0.3 in 3, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 66. Suppose -2*r + 12 = -2*t, 2 = d*r - t - 12. Suppose 4*i = -21 + 5, 2*p - r*i = 118. Calculate the highest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12*d**3 - d**2 + d. Let g be z(1). Let u(w) = -w**2 + 13*w + 17. List the prime factors of u(g).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272565 is divided by 74.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 5*g**2 + g + 4. Let a be p(-7). Let w = a - -301\/3. What is the nearest to w in -2, 1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1.98. Let z = q + -0.38. Which is the nearest to 1? (a) z (b) -2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - 20. Solve -18 = d + d + 5*l, 6 = -g*d + 5*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:51 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3832 = -387*r - 1391*r - 42948 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -1087482419?\nAnswer: 1087482419.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385937612 to the nearest integer?\nAnswer: 19645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/((-52)\/(-10)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.121270645 + -0.1214. What is r rounded to six decimal places?\nAnswer: -0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(6\/21)\/((-20)\/(-35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 + 82. Let c = -0.45 + 0.05. What is the closest to 0 in f, c, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6) - 663\/(-306))*21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*b = 2*d + 13, -d - 5*b = 15. Let k be (d\/(-4))\/((-1)\/(-4)). Let h be ((-13)\/(3042\/(-30)))\/(5\/6). What is the third smallest value in k, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 1.406 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 19 = -s, 5*s = -u - 18 - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1161 and 5156259?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujixxxurrurujuuuurr. Give prob of picking 1 j and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19477863 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426668165?\nAnswer: 3, 5, 13, 523, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41272 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*r - 99, 0 = 4*x - 225*r + 223*r - 120. Solve -23*g - x*g = 108 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49987580 to the nearest integer?\nAnswer: 7070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3769, -15390, -34773, -61936, -96897, -139674, -190285, -248748?\nAnswer: -315081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 6928*c = -6931*c + 3, 13 = -5*u + c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {g: 3, o: 1, y: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a millisecond in microseconds?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 799274737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a - 7*a - 238*a**2 + 235*a**2 + 34*a**6 + 2*a**4 wrt a?\nAnswer: 4080*a**3 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -82775*u + 496673. Determine a(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, c: 1, d: 1, i: 6, m: 4, j: 4}. Give prob of picking 1 c, 1 d, 1 f, and 1 i.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 11. Let l be n(3). Let j = 11 + l. Let h = -2 + -1. Put 0, h, j in decreasing order.\nAnswer: j, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1043 and -0.1.\nAnswer: 1042.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.076354?\nAnswer: -1.923646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 136943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156 + 132?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -99*p. Solve -3*o + 2*o - 2*g + 3 = p, 2*o + 5*g = 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40*0.33\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 15*l - 13. Let h = 19 - 7. Let b be d(h). Let n = 83 + b. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 48 + 240 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26785?\nAnswer: 5, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 + -61. Suppose -3*x = -d + 14, -3*x + q = 3*d - 8*x. Suppose d = 3*b - 13. What is the highest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*w + 35 = 0, 3*a - 3*w + 4*w - 20 = 0. Sort -27, a, -5.\nAnswer: -27, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 5*k**2 + 5*k + 3. Determine o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134803.\nAnswer: 23, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7538860.\nAnswer: 2, 5, 7, 53849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6867358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 14811*q**2 + 13 + 27589*q**2 in the form n + x*q + k*q**2 and give k.\nAnswer: 42400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 3*f + f - f to the form g*f + d and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 71, 38, -19, -106?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukuk. Give prob of sequence uu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 169878 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16290 and 2715.\nAnswer: 16290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/12 - k**3 + k**2 - k. Let c be b(6). Suppose -3*o = -2*l + 5, 7*l + 3*o = c*l - 19. Put -4, 5, l in decreasing order.\nAnswer: 5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -31. Let m(x) = 30. Let w(z) = m(z) + u(z). Suppose -b + 1 + 0 = 0. Let s(c) = 2*c + 6. Determine b*s(g) + 6*w(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51.8486 micrograms?\nAnswer: 0.0518486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21111981 to the nearest integer?\nAnswer: 4595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -45*h**3 + 8*h**2 + 8*h + 131. Let v(x) = -30*x**3 + 5*x**2 + 5*x + 87. Let a(r) = -8*v(r) + 5*y(r). What is the first derivative of a(g) wrt g?\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105038149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 9. Suppose -2*o - 2 - 2 = -4*c, -2*c - z = -3*o. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/15 + 302\/10. Suppose 48*r = 43*r + u. Let i(p) = -p**2 + 8*p - 2. Calculate the smallest common multiple of i(r) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 60*h + 6. Let s be g(12). Let j be (-4)\/(-1) + -6 - (2 - s). Solve -3*a = -4*t + 17, -15 = -j*t + a - 6*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g. Let j(f) be the second derivative of 2*f**4\/3 + 2*f**3\/3 - 15*f**2\/2 + 63*f. Let w(q) = -j(q) + 3*r(q). Factor w(y).\nAnswer: -5*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135.15 times -0.32\nAnswer: 43.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**3 - 4*v**2 - 4. Let q(r) = -390*r**3 + 91*r**2 + 91. Determine -91*n(f) - 4*q(f).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26025 = 5*w + v, 15549 + 10496 = 5*w - 3*v. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*l**2*w*y**3 + l**2*w*y - 110*l*w**2*y**2 - 5*w**2 - w*y + 157*y wrt y?\nAnswer: -162*l**2*w*y - 220*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -11. Suppose -8*r = -22*r + 56. Suppose -t*k = -r*k - 38. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4201243 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (10 - -32) + -26.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7 - 4596*h + 109 + 4595*h + 576*h**3 - 18*h**2 - 14 wrt h.\nAnswer: 3456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*m**2 + 23*m**4 + 3*m**4 - 28*m**2 wrt m.\nAnswer: 624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17430000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5414437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 7 - c**2 - 4*c**2 + 3*c**2.\nAnswer: -2*c**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**5 + 20*s**4 - 137*s**3 + 394*s**2 - 492*s + 216 = 0.\nAnswer: 1, 2, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - a + 347 + 890 = 0, l + a = 245. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10333531, -41334131, -93001799, -165336535?\nAnswer: -258338339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*f = -152*f + 18. Solve -3*b = 5*k - f, 5*k - 9 - 3 = 3*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 + 399*y**2 + 834*y - 3240 = 0. What is y?\nAnswer: -4, 2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 17*v**3. Give k(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146596.\nAnswer: 2, 67, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*y - 196*y + 11334409274 - 11334409274.\nAnswer: -487*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -37, -69, -109, -157, -213, -277?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q - 1. Let w(o) = -o**2 - 11*o - 8. Suppose 4 = -f - 4*c, 20 = -2*f + 8*c - 4*c. Calculate the least common multiple of w(f) and b(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(((x\/(x*x**6))\/x)\/x*x))\/x)\/(x*x**(-5)*x))**(2\/137)\/((x*((x*(x**(-1\/2)*x*x*x)\/x)\/x)\/x)**(-35))**(-1\/6) assuming x is positive.\nAnswer: x**(-4715\/548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3443342 (base 8) to base 3\nAnswer: 1202112110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0 + 5\/6*c**3 - 2*c - 9\/2*c**2. Let b be m(2). What is the highest common divisor of b and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 100*x**2 - 51*x**2 - 48*x**2 + 0 + 47*x + 2. Let q be o(-47). Is q at most 17\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185523*f**3 - 736605 wrt f.\nAnswer: 556569*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -79*k - 458. Let q be s(-118). What is the greatest common factor of 64 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (-2*sqrt(1331) + -5)**2) + (-4 + (sqrt(1331) - (-2 + sqrt(1331))) - sqrt(1331))**2.\nAnswer: -4014 - 165*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2068363*g**2 + 568032*g.\nAnswer: -4136726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -i + 1 - 4, -2*y = 2. Sort i, 3, -3 in increasing order.\nAnswer: i, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161036847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3453 (base 7) to base 6\nAnswer: -5503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**2 - 35*x - 35. Let c(l) be the second derivative of -11*l**4\/12 - 35*l**3\/6 - 18*l**2 + 15*l. Let b(m) = 5*c(m) - 6*t(m). Factor b(z).\nAnswer: 5*(z + 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a - 2. Let n be y(-1). Suppose -b = 3*v - 19, 36 + n = 5*b + 5*v. Suppose 0*c - 17 = -3*x + c, 5*x = c + 25. Is b bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 times 23?\nAnswer: -3588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f. Let s be t(-1). Is (-16)\/s*21\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - -97 - (-62 + (143 - 70)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44*-1.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 49, 184, 445, 874, 1513, 2404?\n\"Answer: 7*g**3 + 2*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/5 - 132*j**2\/5 + 252*j\/5 - 124\/5.\nAnswer: 4*(j - 31)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -47546.18 to the nearest one hundred.\nAnswer: -47500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, i: 6, l: 1}. What is prob of picking 4 i?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -2\/3 (c) 3 (d) -102051\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 641141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18193, -18195, -18207, -18235, -18285?\n\"Answer: -u**3 + u**2 + 2*u - 18195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1579, -3395, -5417, -7645, -10079, -12719, -15565?\nAnswer: -18617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 5*c**3 - c**3 + ((5 - 1 + 0)*(2*c**2 + 5*c - 5*c) + 0*c**2 + 3*c**2 - 5*c**2)*(108 - 68*c + 74 + 66*c).\nAnswer: -11*c**3 + 1092*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*z - 1980 = 15*z. What is the remainder when 2178 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 158389 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3137*h - 810*h + 51194 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 9. Let r be (22\/1242)\/(3\/36). Let v = 2\/207 + r. Sort -4, y, v in decreasing order.\nAnswer: v, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(0*f**2 - 3*f**2 + f**2) + f**2 + 4*f - 4*f + (-f + f - 2*f)*(-f + 0*f - f) - 2*f**2 + 2*f**2 + f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -66, -109, -174, -267, -394, -561?\n\"Answer: -u**3 - 2*u**2 - 14*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -1 + (-2042 - -2010)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 29, -4, -1196?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1369029259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = -3*l + 13*z - 10, -5*l - 5*z = 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p - 1 + 1\/3*p**3 + 0*p**2. Differentiate k(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-4)*-8*1. Let t be (-18)\/(-15)*(-30)\/(-9). Suppose -t*h = z + 2. What is the smallest value in -0.3, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9382346, 37529375, 84441090, 150117491, 234558578, 337764351?\nAnswer: 459734810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 5:15 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1 + 2*d**2 + d**2.\nAnswer: 3*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*l - l. Let w(u) = u**3 + u**2 + u. Let h(v) = 11*v**3 + 3*v**2 + 3*v. Let o(m) = 218*m - 55155. Let x be o(253). Give l*w(q) + x*h(q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 19. Let w(m) = -m - 9. Determine 3*u(d) - 7*w(d).\nAnswer: d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019*j**3 - 26590*j**2 + 826*j**3 + 26590*j**2.\nAnswer: 1845*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 35*f - 12. Suppose 2*i - 240 = 3*i - 16*i. What is n(i)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1239 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7*i = 0. Let z(w) be the second derivative of w + i + 0*w**2 - 1\/6*w**4 + 0*w**3. Let k(v) = -3*v**2. What is k(z(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*f**2 + 10*f**2 + 10*f**2 + 10*f**2 + 14*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, -137 in descending order.\nAnswer: 1, -1, -5, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 11:57 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r = 40*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 23 - 13 = 0. Let r be (-5 + 24\/(-6))\/(l\/(-8)). What is the highest common factor of r and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 1368*d - 169029. What is i(-107)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -160, -362, -628, -952?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -90072, -180139, -270208, -360279, -450352, -540427, -630504?\n\"Answer: -a**2 - 90064*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/492 and 115\/2563242.\nAnswer: 210185844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -132, -324, -586, -912?\n\"Answer: m**3 - 44*m**2 + 9*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let v(b) = -4*b - 3. Let o be 9*(-6)\/(-270)*5. Let r(t) = t. Determine o*v(u) + z*r(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11907, 11896, 11871, 11826, 11755?\n\"Answer: -f**3 - f**2 - f + 11910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*z**2 + z**2 - 61*z**2)*(-2*z**3 + 0*z**3 + z**3).\nAnswer: 37*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/((-60)\/8))\/2. Let q = 0.0356 - 4.0356. Which is the third smallest value? (a) q (b) 2 (c) f (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.272 - 1508618?\nAnswer: -1508615.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 981, 967, 953?\nAnswer: 939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 4 = -2*g + 2*r, r - 159 = -5*g. Let x be (-132)\/(-18) + (-2)\/(-3). Calculate the greatest common divisor of x and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416764 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 28*i + 17659 = x, -52974 = -3*x + 4*i. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -3) + 4 - -4 - 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2063750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 + 2.5. Let t = 0.77 + -2.77. What is the smallest value in 0, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89\/14 + 137\/21. Is 147 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14756.\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 149, -5, 3.\nAnswer: -5, 3, 4, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -449*v**2 - 1. Let b(y) = 3*y**2. What is b(m(h))?\nAnswer: 604803*h**4 + 2694*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 1 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -33867?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 1:28 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 - (0 + -1). Suppose 2*h = 3*h - 5. Suppose h*n - 2*n - 33 = l. What is the remainder when 41 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57327, 57306, 57273, 57228, 57171, 57102?\nAnswer: 57021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -37949, -3 in increasing order.\nAnswer: -37949, -3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 419. Let f(p) = -p**2. Determine f(b(k)).\nAnswer: -4*k**2 - 1676*k - 175561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 8*a**2 + 2*a - 5. Determine y(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(216) + sqrt(24) - sqrt(24))\/sqrt(12) + -3 + -1.\nAnswer: -4 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((((-3*sqrt(112) - sqrt(112)) + sqrt(112) - sqrt(112))*-6 - (3 + sqrt(112) + -1)) + 1 + -4)*-5)**2.\nAnswer: -207000*sqrt(7) + 13336425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4699 * 0.5\nAnswer: 2349.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 14 = 34. Let z(y) = y**3 - 3*y**2 - 2*y. Determine z(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10224764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 136136, 272234, 408332, 544430, 680528?\n\"Answer: 136098*n + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-88) + 22\/(-847)*-161?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - (-15)\/6. Suppose -8*s + 7*s = -n*k - 91, -4*k = -2*s + 182. Let o = s + -85. Let d(a) = a**2 - 6*a - 6. Determine d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/3, 2\/435, -5, -0.07, 2, -0.1, -6\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 * -1221888.\nAnswer: -70869504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 3. Let k(y) be the first derivative of -y**4\/24 - 20*y**3\/3 + 2*y - 113. Let s(c) be the third derivative of k(c). Calculate p(u) + s(u).\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**6\/120 - 3*j**5\/20 + j**4\/24 + 19*j**3\/2 + 6*j**2 + 37. Calculate z(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2. Let j(l) be the second derivative of l**3\/6 + l**2\/2 - 113*l. Let z(y) = -y - 16. Let v(a) = -4*j(a) - z(a). Give v(x(i)).\nAnswer: 6*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + d + 184 = 4*o, -172 = -5*o - 2*d. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1169650099.1 rounded to the nearest 10000?\nAnswer: -1169650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.2 (b) 4 (c) 2\/13 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 5:53 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*v + 22*v + 56*v + (-1 + 1 - 1)*(5*v + 0*v - 3*v))*((-1 - 1 + 4)*(-3 - 2 + 6) + 4 + 1 - 3).\nAnswer: 536*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 9548?\nAnswer: 1\/4774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-512)*-4 - (-114)\/8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -9428, -2, -4 in ascending order.\nAnswer: -9428, -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u = 7*u + 7227. Suppose 0 = 3*n - 2*k - 160, 3*k = 38*n - 42*n + u. Calculate the remainder when 120 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6402\/(-2425))\/(8\/(-40)*1).\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -153.8\nAnswer: -154.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/13 - 52*g**2 - 12096*g\/13 + 8771328\/13 = 0. Calculate g.\nAnswer: -216, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 - 1.4. Which is the third smallest value? (a) -2\/7 (b) 0.77 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a + 8. Suppose -3*k = 5*c - 2*k + 10, a*k + 2 = -c. Is c smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.041448 and 0.\nAnswer: 0.041448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 5:10 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -982 - -952. Let q be 3\/k - 91\/490. Which is the second smallest value? (a) -1\/4 (b) -0.33 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + 11*s**2 - 12*s + 3. Let f be z(4). Factor 0 - 1\/3*w**f + w**2 - 2\/3*w.\nAnswer: -w*(w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*a + 2*i - 0*i, 4*a + 5*i + 2 = 0. Suppose -3*y + 4*z = -a*y + 1, -5*y = 2*z - 17. Solve -y*m + 8*m + 5 = -5*q, -m + 29 = -5*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-22) - 80054\/(-286) is divided by 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(7\/28)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-7 + 4 + 1)*(-9*n - 75 + 75).\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u = -2*g + 178, -4*u + 104 = g. Let o = -63 + g. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfhh when four letters picked without replacement from ffhfffhfhff?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1151*c**4 - 3*c**2 + 2*c - 4507 with respect to c.\nAnswer: 4604*c**3 - 6*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14399007*s**3 - 22152680*s**2 wrt s?\nAnswer: -86394042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004609 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = m + 2*g - 21, 20 = 5*m - 2*g. Let n be 11\/(165\/10)*m. Solve 0 = n*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 2, -32431, 23 in ascending order.\nAnswer: -32431, 1, 2, 12, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1121124 (base 6) to base 3\nAnswer: 2220120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 14119.\nAnswer: 508284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 904*f - 452*f - 9*f**2 + 11 - 452*f as d*f + j + h*f**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/5 + 32\/5*m - 12*m**2 = 0 for m.\nAnswer: 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-40)\/3))\/((-7)\/35).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1053)\/(-6) + 3\/(-2) - 3. Let 25 + n + d**2 - 13*d - 15*d = 0. What is d?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-26)*20*2\/110?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:42 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 + 228720153868*k - 10*k**2 - 228720153844*k.\nAnswer: -18*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n - 12*n - 27 + 6*n + n**2. Let z be u(-8). What is the second derivative of -2*d - 3*d**5 + z*d + 11*d**5 + 0*d wrt d?\nAnswer: 160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u - 0. Let g(f) be the first derivative of -1\/3*f**u + 2*f**2 - 4*f - 2. Determine l, given that g(l) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/108705810 and -89\/129992.\nAnswer: 434823240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109554739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2. Let k be u(-7). Let n = k - -11. Let a = n - -1. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35278649701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34908361?\nAnswer: 17, 829, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0246 + -5.0246. Sort p, -3, 0.5, -0.3.\nAnswer: p, -3, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 x, and 1 s when three letters picked without replacement from dhxxrrscxrxxd?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65157671 a multiple of 2073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**2 - 12*c - 1. Let j be r(2). Solve 0 = 3*s + n - 15, -5*n = 5*s - 16 - j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10) - 3\/(-15). Let r be (-10)\/(2 - 3 - 1). Let v = m + r. Calculate the lowest common multiple of v and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 109 + 1531 = 0. What are the prime factors of a?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r**7*r)))\/r*r**(1\/3))\/(r\/(r\/((r**(2\/35)*r)\/r))*r*r*r*r**(-16\/3)) assuming r is positive.\nAnswer: r**(1114\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25753 times -0.5\nAnswer: -12876.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 13. Let m be -6*10*3\/j. Is (22\/(-4))\/(3\/m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, -0.19, -156\/125 in descending order.\nAnswer: 213, -0.19, -156\/125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 478177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5\/5 + 7*f**4\/5 + 2387*f**3\/5 - 22051*f**2\/5 - 185206*f - 180320 = 0?\nAnswer: -46, -16, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -219 + 2349. Is (-2)\/(-6) - w\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*w - 52 = -c, 78 = 3*c - 4*w. Let g(k) = 12*k - 29. List the prime factors of g(c).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1503775*b**2 + 0 + 3 + b + 0 + 1.\nAnswer: -1503775*b**2 + b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 966 and 1472.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.9. Let l = -3102 - -3102.2. Which is the closest to z? (a) 0 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 892 - 1815 + 923 - 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)*r)**38\/(r*r**3)**(-49) assuming r is positive.\nAnswer: r**(1094\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 698.8 + -95.8. Let i = -602.637 + c. What is i rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(6\/(-264)*2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52789 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let z(m) = -5. Let g(s) = -s**3 - 5*s**2 - 23*s - 75. Let h be g(-4). What is h*z(k) + 2*w(k)?\nAnswer: 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321639?\nAnswer: 3, 29, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -66. Suppose 5*u - v = 13. Suppose -41*k = -19*k. Solve -u*d + 4 + 5 = k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41507 and 154.\nAnswer: 6392078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -4709 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and 36\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/12 + 4\/(-3). Let q(o) = -o**2 + o. Let x(a) = -2*a**2 - 6*a. Let t(d) = 5*q(d) + x(d). Calculate t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30625 + -30615. Solve 170 - x = 32*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -1\/7*i**2 - 1\/7*i**4 + 2\/7*i**3 + 0*i + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 98043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*f = -2*f + 33, 0 = 3*f - 12. Calculate the highest common divisor of p and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.216703 in 1\/7, -2\/11, 2\/19, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448 - -456. Which is the nearest to 2\/3? (a) 9 (b) u (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2. Let m be 12\/(-42) + (-74)\/(-14). Let f(r) = 2*r + m*r + 4*r - 5*r. Calculate f(x(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -880 - -2605. Let g = 3118 - w. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -10*j + 3*j. Suppose 7*k - 3*k = j. Suppose -3*c + k = -c. Sort c, -1, 1.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1432322 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 0, -4, -12, -24?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/12*((-288)\/280)\/9.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 11*h + 36. Let w be v(-6). Suppose -5*y = -76 - 34. Let u = 8 + y. Calculate the greatest common divisor of w and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/7609457 and -39\/185.\nAnswer: 38047285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3948)\/1428 + (-8)\/34. What is the nearest to 0 in -1\/12, -3\/2, 0.2, d?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1 + (-9)\/((-18)\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m + 406 = 3*f, -2*m + 138 = f. Let g = 133 - f. Let o(n) = n**2 - 7*n + 2. Determine o(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1129103087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19523 = 42*x - 507*x - 114*x - 3637 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1 + -1051)\/((-180)\/3120). What is j rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**6\/15 - i**5\/5 + 7*i**4\/6 - 4*i**3\/3 - 16*i. Determine j, given that w(j) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273\/89 - -15970\/4539. Calculate the common denominator of -77\/170 and j.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 3*x + 17, -4*x - 24 = -2*c. Suppose -c*k = 6, 3*y - 4*y + 3*k = 0. What is the units digit of 76\/18 - (-2)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 - 5*u + 3. Let z be d(-4). Let i(v) be the first derivative of 7*v**2\/2 - 9*v + 28. Calculate the remainder when i(z) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 2. Let b(n) = 1. What is 2*b(r) - u(r)?\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -739819 and -7?\nAnswer: 5178733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45719 rounded to the nearest 100?\nAnswer: 45700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 17*b = -21*b - 2, -l - 4*b + 6 = 0. Let i be (13\/(-4) + l)\/((-105)\/6930). Let -25\/2*m**2 + 35 + i*m = 0. Calculate m.\nAnswer: -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.18 or 0.16?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 15 = -9*n. Solve -2*g + 15 = n*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96117795 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 46. Let k be (1\/p)\/(2\/8). Let h = 59010 + -59009. Which is the closest to -2\/3? (a) h (b) k (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3.5, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 130685281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*c**2*f - 2*c**2 + 22*c*f**2 - 15*c*f + 326512*c + 9*f**2 wrt f.\nAnswer: -9*c**2 + 44*c*f - 15*c + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1944099780 rounded to the nearest 1000000?\nAnswer: -1944000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*(s*s\/s**(1\/4)*s)\/s))\/s)\/s*s)**(-2\/19)\/(s**(-8)*s**(2\/19)) assuming s is positive.\nAnswer: s**(311\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -27*y - 2019. Give i(-75).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*m + 45, -4*m + 28 = u - 39. Let p(h) = 165*h**2 - 10*h + 20. Let v be p(m). Round v to the nearest 1000.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 179 = -l + 25, 0 = -u. Let a = -63 - l. What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -546 equal to -16960\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153072 is divided by 152985?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -955, -961, -977, -1009, -1063, -1145?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (160 - 203) + (-1 - (2 - 4))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -72 - 198. Suppose s = 8*h - 2*h. Suppose -h*x + 312 = -x. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190 = -42*h - 75*h + 32*h. Let w(t) = t**2 - 16*t - 28. Calculate w(h).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5201*g*p**3 - g*p + 2*g - p**3 + 23017 wrt p.\nAnswer: -31206*g*p - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/6 + 5*z**2 + 70*z. Calculate the lowest common multiple of r(-10) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-14) + -11*7. Let n be 66\/f*14\/(-4). Suppose 5*v + 80 = 5*p, 6*v - 3*v = -n*p + 66. What is the remainder when 94 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222313 and 412867.\nAnswer: 2890069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.046 - -3.746. Let o = 4 - u. Let m be (-7)\/(-9) + (-6)\/(-27). What is the closest to m in -5, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 905234862 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by (798\/(-171))\/(2\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 630.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((-1)\/2*-2). Let d = 15 + -13. Suppose b = d*v - 0*v - 76. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(891) - sqrt(891))*2)**2 + ((-2 + sqrt(891))*6)**2 + ((-1*sqrt(891) + 4)**2 + (-1 + -2 + sqrt(891) + sqrt(891) + sqrt(891))**2)*6.\nAnswer: -2700*sqrt(11) + 85866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*z + 630, -1 = -3*s + 5. Let k be -4*(1 + z\/12). Let n = 284 - k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 + -177. Solve -7*m - l = -9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 163. Is -3*4\/12*m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooo. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - 7)*366\/(-6). Let s = v + 219. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69700\/331075*1197\/4?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -13.1. What is the second biggest value in -4, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a\/((a\/(a**(-1\/6)\/a))\/a*a)))\/a)**(-16)\/(a\/(a**(-7)*a)*(a\/a**(-17))\/a) assuming a is positive.\nAnswer: a**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1586833830 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*((-18)\/2)\/(-117)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**4\/12 + 7*m**3\/3 + 7*m**2. Let f be i(6). Let b(y) = -4*y + f - 26. Let r(h) = 3*h. What is b(r(u))?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25443635513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.87 + 4. Let v = a + -0.21. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/50 - (-232)\/170. Which is bigger: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, 10, 96, 210, 358, 546?\n\"Answer: w**3 + 5*w**2 + 42*w - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234\/5 + 47. Let b = 1.5 - 1. Let z = -37 - -36.9. What is the closest to z in a, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51349, 47897, 44445, 40993?\nAnswer: 37541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-16)*(-108)\/189?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.023, -1\/3, -0.5 in descending order.\nAnswer: 0.023, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 44 - 5) + 1 - (-65 + 62)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 75. Suppose 2*o - c = 83 - 15, 2*o - q = 4*c. Solve 3*j - l - 20 = 0, 2*j - 3*l = 2*l + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-110)*-5 + (-2)\/(-11).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 224316.1s?\nAnswer: 224316100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5178*m**2 - 3*m**3 + 5178*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -100000?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*h + 9 - 29*h - 36*h + h**2)*(5*h**2 - 32*h**2 - 12*h**2).\nAnswer: -39*h**4 + 39*h**3 - 351*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306667699.\nAnswer: 13, 53, 445091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/893209 and -47\/158773.\nAnswer: 159884411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 18 - 4*s - 26 + 2*s + 2*s**2. Let n(z) = -z**2 + 4. Let u(f) = -f**2 + 3. Let j(q) = -2*n(q) + 3*u(q). Let k(l) = -h(l) - 4*j(l). Give k(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-3)\/(-6) + 4*-1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.093896868 to 2 dps.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epjjejepjpeejeeperjj. Give prob of picking 1 r and 1 j.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let c(w) = -8*w. Let u(g) be the first derivative of -81*g**2\/2 - 4. Let s(f) = 21*c(f) - 2*u(f). Give m(s(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*x**3)*(0 + 0 + 5*x) + 21*x - 21*x + 13*x**4 + (-3*x**3 + 0*x**3 + x**3)*(2 + x - 2).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42498 (base 15) to base 16.\nAnswer: 33575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.5 - 8. Suppose x = -4, -2*n - 2*n + 4*x - 20 = 0. What is the third biggest value in n, m, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18.672 in -34, -1, 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 11:17 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 9*n**3 - 12 - 2 + 3*n**3 + 10 in the form s*n + c*n**3 + i + g*n**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 308 (c) -0.1 (d) 6\/25 (e) 0.2 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-6 - (-6 + 6 - 4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -380620 - -1713.\nAnswer: -378907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnbxoxwwwmm. What is prob of picking 2 b and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 468216 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chjhphhhpgjhhch. Give prob of picking 1 p and 2 h.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-48)\/832 + 2107\/9919?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504370 is divided by 655.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68665 = 12*g + 68905 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b4 (base 14) in base 5?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5179.\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 0.2 (c) 0.23 (d) -2\/17 (e) -1\/5 (f) -3.36 (g) 4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 16. Let q be n(8). Suppose 7*m - 407 + 141 = q. Calculate the highest common factor of 57 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 + 3 - r + 0*r - r + 2*r + 9*r - 12*r - 7*r + (0 - 1 + 2)*(-4*r + 4*r - 2*r) + 9*r + 9*r - 19*r to t*r + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 4. Suppose -6*u - 16 = -2*u. Let g(s) = -s + 7. Let p(d) = u*g(d) + 7*v(d). Let n(i) = -3*i. Give n(p(m)).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcttkjkktcjtc. What is prob of sequence tkkj?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2122 - 676. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13488*j - 7487*j + 1577*j.\nAnswer: -19398*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 4. Let p = 6 + 4. Let o = p + m. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -227 - 2\/1*-1. Let r be 6\/5*t\/(-30). Suppose 10 = 3*v + v + 2*y, y + r = 5*v. Solve v*u + 0*u + 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.249 - 0.049. What is the closest to u in 1, -0.07, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2067 + 5219. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1359, 1350, 1329, 1290, 1227, 1134, 1005, 834?\n\"Answer: -h**3 - 2*h + 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1153100 to the nearest 10000.\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206437158 a multiple of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 - 0 - (15 + 2 + 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 10. Let t = -14 - -2. Let g(q) = q + 2. Let r be g(t). Let f be u(r). Is -2\/5 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*a - 24, -5*g + 2*a + 8 = 6*a. Suppose -2*o + 0*o + 2*y = -14, g*o - y = 34. Solve o = -2*s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 240?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 - -0.3. Let n = 0 + -3. Let t = n - g. Which is the closest to t? (a) 0.5 (b) 1\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 + 5*d**2\/2 - 10*d + 50. Let o(n) = -n**2 - 2*n + 4. Let p(i) = 5*o(i) + 2*r(i). Solve p(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-4)\/(-24)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 4*h + h)*((4 + 3 - 4)*(h - 4*h + 0*h) + 7 - 10*h - 7) - 20*h**2 + 626 - 2*h - 626 to y*h + b + f*h**2 and give f.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3477, -7002, -10543, -14106, -17697?\nAnswer: -21322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11904792, 11904793, 11904794, 11904795, 11904796, 11904797?\nAnswer: 11904798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 7, k: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.45 (b) -0.04 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b. Let x(c) = -5*c. Let d(l) = -4*q(l) + 5*x(l). Let w(g) = -2*g**2. Calculate w(d(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -66 (b) 6\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -772, -1569, -2392, -3241, -4116?\n\"Answer: -13*o**2 - 758*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2652 and -1\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 14 = -0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59140*l**4 + l**2 - 13546.\nAnswer: -1419360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240 = 254*c - 394*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*u + 47*u**4 + 3*u**5 - 47*u**4 + 526*u**2 - 491 + 2*u + 865 wrt u.\nAnswer: 60*u**3 + 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, -2, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 12:26 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*v)*(884*v - 884*v + 29*v**2)*(1 + 0 + 4).\nAnswer: 435*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x - 5*x + (-1 + 1 - 2)*(3*x - 2 + 2))*(36 - 23 + 85).\nAnswer: -686*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11529, 11606, 11669, 11712, 11729, 11714, 11661, 11564?\nAnswer: 11417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 1. Let u(v) = v - 1. Calculate -2*u(h) + x(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v)**(11\/2)\/((v\/v**(1\/9))\/v*v*v**(-3\/2)\/v*v) assuming v is positive.\nAnswer: v**(121\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4737*y**3 + 66*y**2 - 11*y + 11. Let p(b) = 2369*b**3 - 36*b**2 + 6*b - 6. Calculate 11*p(k) + 6*s(k).\nAnswer: -2363*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11 + 4*a + 12 + 5*a - 19*a + 12*a. Let f = 5 + -14. Give u(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:31 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yooy when four letters picked without replacement from ooyooooooyoooyyooo.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60\/758521 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1156\/4095 + -2\/585. Let d(g) = -g**3 + 7*g**2 + 8*g - 3. Let s be d(8). Let q be 10\/(-4) - s\/6. Which is the nearest to 0? (a) y (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7760474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 17 = 2. Suppose 12*l - 9 = x*l. Which is the biggest value? (a) 0 (b) 0.5 (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/30)\/((-5)\/(-30))*(-6)\/(-76)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + (-30 + 24 - -47)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-1269)\/135)\/(27\/3) - 6.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3 - 2. What is the units digit of v(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*x - 23 + 25 - 10*x)*(0*x**3 - 2*x**3 + 0*x**3) in the form a*x**4 + y*x**2 + f + j*x + k*x**3 and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 2. Let m(o) = o - 2. Let s be m(g). Let q(r) = -4*r**2 - 6*r - 6. Let p(h) = 7*h**2 + 12*h + 12. Let u(y) = -3*p(y) - 5*q(y). Calculate u(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/297 or -294\/5?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*2*sqrt(117)*6)\/(4*2*sqrt(576) - sqrt(576) - sqrt(576) - (sqrt(576) - sqrt(576)*1)*6).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m**3\/m)\/m*m*m\/m**1*m*(m\/(m\/(m*m**(-2\/17))))\/m*m*m*m\/(m*m**7*m*m) assuming m is positive.\nAnswer: m**(-53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 143. Let x(l) = 2*l + 148. Let w(a) = 4*r(a) - 5*x(a). Let b be w(-30). Solve -2*k - 20 = -b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -750 - -753. What is the closest to 0 in 2\/9, 4, s, -21\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than 403\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - -74?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 8*m + 34. Let p(g) = g**2 - 2*g - 12. Determine 11*p(d) + 4*t(d).\nAnswer: 3*d**2 + 10*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 equal to 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2, -4 in descending order.\nAnswer: 24, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618*j**2 + 599*j**2 - 79 + 29 + 29 + 21.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgg when three letters picked without replacement from {j: 1, g: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -3*m - 0, -4*m = u - 13. Suppose m*p - 3*j + 28 = 0, 2*j - 24 = 3*p + p. Let q be 1\/(1\/(-8)*p). Solve y - 8 = -i - 2*y, 6 = q*i - 4*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(588) - (sqrt(588) + sqrt(588)*4 - sqrt(588))) + -6*4*sqrt(12))\/(2*3*sqrt(400)*1).\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 31. Suppose 3*p - 7*q + 55 = -5*q, 3*q - 72 = 4*p. Let x = p - i. Solve -5*g = -4*s, 0 = -3*g - x*s + s + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -504*w + 650*w = -3037*w - 229176 for w.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*k + 3816*q - 3820*q + 136, 0 = -3*k - 3*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/7, -3, 33673, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -3, -4\/7, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s + 47. Calculate z(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 2 t when four letters picked without replacement from {t: 4, f: 2, v: 2, s: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*k - 8703, 5*s = -3*k + 45161 - 1639. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31223276 is divided by 3085?\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 27*p - 8 = 0. Let k = p + 8. Calculate the remainder when (-249)\/(-108)*k - (-4)\/(-18) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*u - 19, 2*u + 8 - 29 = -5*v. Solve 3*b = -v*y - 0*b - 1, 0 = 2*y - 3*b + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/248352 and 11\/2410686?\nAnswer: 501422688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -5*r**8\/12096 + r**6\/540 - r**5\/15 - r**2. Let a(k) be the third derivative of f(k). Determine z, given that a(z) = 0.\nAnswer: -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-72)\/(-48)*30\/9 + 654.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163561967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.279059632 rounded to four decimal places?\nAnswer: -0.2791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -166 and 1.2.\nAnswer: -199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/4 and ((-9)\/(-30))\/((-596)\/(-140) + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (0\/2 - (0 + 0)). Let s be u - (-4 - (-124)\/16). Put s, -0.1, -3, 4 in descending order.\nAnswer: 4, s, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 55090079.2274?\nAnswer: 55090086.2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21890, 21885, 21876, 21863, 21846, 21825?\nAnswer: 21800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3, -125, 5, -0.23, 1\/10, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 28592 = -2*f + 10518, 5*f = 5*r - 97755. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)*z**(-4)\/z)\/((z\/z**(-1))\/z)**(2\/19)*z**(-1)\/(z**7\/z)*(z*z**(-5))\/z*z*(z\/((z**7*z*z)\/z))\/z assuming z is positive.\nAnswer: z**(-1889\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2 + 2 - 1 + z**3 + z. Let a(g) = 3*g**3 - g**2 + 2*g - 2. Give a(p) - 2*t(p).\nAnswer: p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l**2 - 5 + 0 - 9. Let t(w) = -5*w**2 + 5. Suppose -4 = -u + 2*u. Let i(j) = -j**3 - 4*j**2 + 2*j - 3. Let q be i(u). Determine q*t(h) - 4*d(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 14 = 2*t + 2, -5*t + 60 = 5*u. Let r = -180 - -175. Let z be (-1)\/r + 4*(-6)\/(-5). Calculate the greatest common divisor of t and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.232 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 114677 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145344176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.873 + 0.127. Let g = -70.5 + d. Let l = 3 - 2. Which is the nearest to 3? (a) l (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*c - 26674, -5*k + 92*c + 66730 = 97*c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 6564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 44*f + 1 + 3 - 20*f - 5.\nAnswer: -57*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:27 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 16. Suppose y - 387 = -w*y. Suppose 0 = 5*n - 5*a - 465, -5*a = -4*n - 4*a + y. What is the remainder when n is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-809)\/(-6) + 70\/420 is divided by (-1)\/2*-1*34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 86?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1963*t + 55038. Calculate a(-28).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 806130015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 o, 1 t, and 1 b when four letters picked without replacement from {m: 2, b: 1, g: 1, o: 2, t: 1, r: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmbm when four letters picked without replacement from {m: 13, b: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6238836 divided by -108.\nAnswer: 57767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a factor of 3304575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghgohohoiohcihgggo. Give prob of picking 1 h, 1 c, and 2 o.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 13*s - 61. Let n be u(5). Solve 0 = n*b - 7 - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:23 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1259 and 77\/8.\nAnswer: 10072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {j: 2, p: 16}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1687635234?\nAnswer: 2, 3, 93757513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 933740 and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1383061440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r = 0. Suppose q + r = 7. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/27 and 131\/1224.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 623*d**3 + 28*d**2 - 88*d + 5. What is the units digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - 0) + 12\/6. Let n be (1 + 9\/q)*-4. Suppose -n*o + 395 = 3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2573 (base 16) to base 7\nAnswer: 36644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 16*a**2 + 6*a - 48. Let h be g(-15). Let l = -359 - h. Sort -5, l, -4.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose f*l - 2*l - 24 = 0. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 159. Let k = -9076 - -9084. Calculate the remainder when v is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 1312120*s + 23619780.\nAnswer: -5*(s - 262442)*(s + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -23600*7\/(-2)*4\/(-14). Round p to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -792 + 1345. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361.2 + -363.2. What is the second biggest value in -0.3, 3\/5, q, -806?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46328278, -46328279, -46328280, -46328281, -46328282?\n\"Answer: -z - 46328277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -31*g + 242. Let z = g - 217. Calculate the highest common factor of 350 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 824?\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2 - 2) + 2. Suppose 0 = 2*x - 4*n, -4*x - n = -t*n - 7. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*-1 - (-16473)\/(-42228)*-23\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5 - 0. Suppose k*d - 2 = 8. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 + 578. Let g = t - 255. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 23. Let i = z + 26. Suppose 0 = i*r + 3*v - 33, -5*r + 15 + 6 = -3*v. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24*y + 117 + 39*y**2 + y - 41*y**2. Let f be j(6). Which is bigger: -91 or f?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (6 + -4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuauauxaxallall. What is prob of picking 1 a and 1 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3793, -4336, -5005, -5800, -6721?\n\"Answer: -63*s**2 - 354*s - 3376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*o**3 + 40*o**2 + 7114*o - 51584944.\nAnswer: 66*o**2 + 80*o + 7114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-154))\/(4\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24992 or 25142?\nAnswer: 25142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = -5*x, -d = 2*d + 4*x - 6. Let l(p) = -8*p + 5*p**2 - 2 - d*p**2 - p + 3*p. Suppose 3*j + 14 = -1. Calculate l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a871 - 1?\nAnswer: -9a872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -456\/1349617 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m - 3050 - 2830 = 0. Calculate the highest common factor of 90 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by -12.\nAnswer: -67\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95747\/7 + 13678. What is the biggest value in -3\/4, 23, -0.2, p, 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a = 5*g - 75, 6 = 2*g. Let p be (-10)\/(-75) + (-5)\/a. Are p and -3\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/45)\/((-1)\/3) + 6. Solve -2*b = -n + 3, 1 = -5*n + n - k*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196922700 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2 - (-12)\/15)*(-3 - 2) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/(-8))\/(-7)*(-1 + 235). Calculate the common denominator of (s\/10)\/((-3)\/5) and -56\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 11 = -4*q, 6*r - 2*r - 6 = -3*q. Let i be ((-16767)\/(-48) - -4) + q. Let h = i + -351. Find the common denominator of 59\/18 and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2181849 and 3749.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354054216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1395\/(-1705) + 60231\/72930.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 4, p: 1, a: 2}. Give prob of sequence aaqq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 326 + -683. Let t = -3579\/10 - n. What is the common denominator of t and (7 - 4) + (-117)\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 67 = n, 15*z - 4*n - 89 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2520, 2497, 2458, 2397, 2308, 2185, 2022, 1813?\n\"Answer: -v**3 - 2*v**2 - 10*v + 2533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8876 = -3595*f - 843*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 35 = 1. Let h = 87 - g. Calculate the remainder when h is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v - 58. Let p(i) = 434*i - 145*i - 147*i - 144*i. Determine b(p(s)).\nAnswer: 20*s - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 + 48. Let t = 59 + g. Solve v - t*v - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1078, 1074, 1070?\n\"Answer: -4*d + 1082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/15992 and -3\/201899?\nAnswer: 1615192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 366730 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -4*g - 4, -15*l + 5*g = -16*l - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 195906816 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 6*z + 10 = 0. Suppose -3*m = -5*c - 91 + 940, -z*c = -4*m - 348. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -117, -292, -523, -822, -1201?\n\"Answer: -2*s**3 - 16*s**2 - 113*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and -5175.2478.\nAnswer: -5174.6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/136 + 116\/(-32). Sort m, 11, -155 in increasing order.\nAnswer: -155, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -52. Let p(o) = o**2 - 3*o + 4. Determine p(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3*k + 2. Let q be w(2). Let u = 3 - q. Suppose -5*t + u*v = -16, 0*t = t - 5*v - 12. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(4\/7)*r*r*r**(-2\/7)*(r*r*r*(r\/r**7)\/r*r*r*r*r)\/r**(-4\/5) assuming r is positive.\nAnswer: r**(143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-12)\/(312\/13)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 67. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -4*w**3\/3 - 28*w**2 - 11*w + 2. Let u be b(-7). What is the closest to u in 2\/11, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -24.2. Let z = 16.272 + -0.272. Is z > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**3 + 3745*x**2 + 11300*x - 15040 = 0?\nAnswer: -4, 1, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-819)*(-1092)\/2940?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10 + o - 27*o**2 + 26*o**2 + 7*o. Let h be l(12). What is h rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - (25 + -43)) + -11 + 26?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5235124, -5235124, -5235126, -5235130, -5235136, -5235144?\n\"Answer: -l**2 + 3*l - 5235126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -169*i**2 + i. Let o(c) = 2283*c + 21. Let t(x) = -544*x - 5. Let p(h) = -5*o(h) - 21*t(h). Give p(z(b)).\nAnswer: -1521*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 206341468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -7 - 14. Solve -5*v = h, r*v + 3*h = 7*v - 19 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515422 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 284309108*f**5 + 205839442*f.\nAnswer: 5686182160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 - 18*u + 277. What is n(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*b + 2*l, -l = -2*b - 4. Let s be b\/((-3)\/2) - -4. What is the third derivative of m**3 + 0*m**2 + 9*m**2 - s*m**2 wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = -2*p + 23*i - 15, 3*p - 10 = i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.000096 - -33. Round v to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 8160 - 7*g + 8215 to the form k*g + b and give b.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5301 - 5305. What is the second smallest value in n, 0.2, -0.4, -577?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1 = s, s - 2*a = -22 + 2. Let g be (-12)\/(-21) + 60200008\/s. What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 17. Let g = 19 - z. Solve -g*d = -2*w - 15, 0 = -4*d + w + 2 + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = 4*z + 33. Let p = 7 + -9. Is z + (2 - p)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10876, 11113, 11358, 11617, 11896, 12201, 12538, 12913?\nAnswer: 13332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 5*i + 6. Let o be d(6). Suppose o*g + 4 = 14*g. Let m = 0.2 - 0.4. Which is greater: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -4*t - 1\/4*t**4 + 10\/3*t**3 - 64 - 5*t**2. What is y(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3386379ml to litres.\nAnswer: 0.0003386379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -3427?\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 divided by 4?\nAnswer: -227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 = 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1814, -3989, -6522, -9407, -12638, -16209?\nAnswer: -20114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:05 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004321 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*p**2 - 10*j**2*p + 1067680*j**2 + 29566711*j*p**2 - j*p wrt j?\nAnswer: -10*p**2 - 20*p + 2135360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:56 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - w + 2*w**2 + (w + w + w)*(0*w - 3*w + 4*w) + 2*w**2 - 2*w**2 + 5*w**2)*(-2 + 0 + 4) as k*w + d*w**2 + n and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let r(a) be the first derivative of -2*a**3 - 27*a**2\/2 - 23. Give g(r(j)).\nAnswer: -6*j**2 - 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/29 - 70\/87. Let a = 75.1 + -86.1. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.335 + -0.265. Which is smaller: n or 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11264 and -1.\nAnswer: -11264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d - 4*d**2 + 628 - 277 - 307 + 2*d**2 + 2*d**3 in the form f*d**3 + k*d + i + p*d**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -5*n**6\/24 - n**5\/10 + n**3 - 2561*n**2. Let w(z) = 49*z**3 + 11*z**2 - 11. What is 11*d(h) + 6*w(h)?\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + d - 5*d)*(-5 + 1 - 4)*(-3*d - 3*d + 0*d) to z*d**2 + w + p*d and give z.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*c + 14 = 3*j, 4*j = -3*c - 23. Let a be ((-180)\/(-117))\/(-2*1). Which is bigger: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27 and 87\/1876.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1111100100000010001?\nAnswer: 1111100100000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4416854.\nAnswer: 2, 13, 19, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 36 - j + 23.\nAnswer: -j - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d**2 - 2*d**3 + d**3 - 98 + 13*d**2 + 3*d**3 in the form n + j*d + a*d**3 + z*d**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -10919 less than -403998\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8564810194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) 72.1 (c) -0.046 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68372520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -78 - -2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 33156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1905.\nAnswer: -7620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7723\/30860 - 2\/7715. Let u = 0.8 + 0.2. Sort k, u, -1 in decreasing order.\nAnswer: u, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + 1*sqrt(704) + sqrt(704) - 1*(2*sqrt(704) + sqrt(704))) + -1*(-3*sqrt(704) + -1))*-6)**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-seven halves of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 682*l**4\/5 + 21792*l**3\/5 + 148334*l**2\/5 - 178872*l\/5 + 8064\/5 = 0.\nAnswer: -21, -12, 16\/341, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o = -151 - 289 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - -1.1. Let k = 6.7 + l. Let i = 3 - k. Put i, 0.4, 5 in decreasing order.\nAnswer: 5, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.1 less than 0.5?\nAnswer: -289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + i. Let t be v(1). Let k be 2 + (-18)\/3 + 2416\/14. Let z = k + -169. Which is the third biggest value? (a) t (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydogjgpgggjgyjggjgyo. What is prob of picking 1 g, 1 y, and 1 o?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(1\/4*2). Suppose -43*f + 102 = -40*f. Suppose -z - u = -3*z + f, -u = 2*z - j. Solve -4*h - z = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*v - 2*v + 0*v)*(-3 - 2 + 4) - 2*v + 4*v - 3*v + 0 + v + 0)*(2 - 3 - 3) + 7*v - v + 0*v + (-2 + 6 - 2)*(-3*v - 5*v + 0*v) - v - 3*v + 3*v.\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131656, -263308, -394958, -526612, -658276, -789956, -921658?\nAnswer: -1053388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(1\/(-4)*1\/1). Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5023, 9773, 14493, 19183, 23843?\nAnswer: 28473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 12 - 32 = 10 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**3*r**3 + 70*b**3*r + 3*b*r**3 - 125*r**3 wrt b.\nAnswer: 60*b*r**3 + 420*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 + 11*s**2 - 42*s - 344. What is v(-7)?\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Let f be q\/18 - 129\/(-27). Solve -7 = -4*a + f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -4. Suppose 5*y + 26 = -3*l - 10, 4*y + 60 = -5*l. Let v = 16 + l. Put v, b, 5 in increasing order.\nAnswer: b, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - 83. Solve 11*w**4 - 20*w**2 - 27*w**3 + 42*w**3 + 5*w**5 + q*w**4 - 20*w = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -114*n**2 - 37*n - 22. Let q(i) = -57*i**2 - 19*i - 11. Let s(r) = -3*d(r) + 5*q(r). Is s(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 - 35)*2\/(-6). Let g(i) = 62*i - 323. Let k be g(b). Let c = 2\/135 + -1847\/135. Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325158 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 12. Let s = 14 + p. Let l be (-3)\/s + (-2)\/(-6). Let k(n) = n - 6. Determine k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26217284505984 and -0.3.\nAnswer: 26217284505983.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1098 - -1092. Suppose 0 = 3*x + 4*r - 1162 - 166, -5*x = -5*r - c. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/5)\/(24\/(-40)). Suppose 0 = -3*t - v*g - 5 + 19, -2 = 3*t - 2*g. Solve -5*f + 9*f + 2*x - 22 = 0, -t*f + 1 = -x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 2a3?\nAnswer: 29d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/11, -2\/7, -0.181, 0.1, 0.3?\nAnswer: -0.181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4745, 11651, 18557, 25463?\nAnswer: 32369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1853368?\nAnswer: 2, 11, 21061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7641\/(-1415) - (4 - (-14)\/(-10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9436 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h**2. Let k(u) = -3*u**2 + 6*u. Let i(j) = -k(j) - 3*q(j). What is the second derivative of i(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 40. Let t(n) = 3*n**3 + 41. Determine 4*h(p) - 3*t(p).\nAnswer: -p**3 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -18*g + 68. Calculate z(17).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -337, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*a - 152*a - 418*a - 22*a to p + u*a and give u.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 - 4*f + 5. Let a(g) = 2*g**2 + g. Let l(i) = -3*a(i) + q(i). Suppose 6 = 5*k - 3*k. Let o = k - 11. Give l(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, 1\/2, -55, 0, 16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 222*f - 13 = 222*f - 446*f, 0 = 48*p + 2*f + 2*f - 140 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 51, 84, 119, 156, 195?\n\"Answer: d**2 + 28*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/3 + 11*t**4\/3 + 18*t**3 + 86*t**2\/3 + 59*t\/3 + 5.\nAnswer: -(t - 15)*(t + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 4*j**2 - 3*j - 2. Let c be x(-2). Let r be (c\/(-4))\/(1\/39). Calculate the common denominator of -83\/2 and -2 + 4 + r\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**3 + 2*i**2 - 3*i + 1. Let y be q(1). Let f be 16\/(-7) - 2\/(-7). Sort -5, f, 5, y in increasing order.\nAnswer: -5, f, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66.9 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-40)*2 - (-42)\/4. Suppose 9*z = 16 + j. What is the nearest to 0.1 in 8, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 10:41 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/11 + -7 - 198\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1584*485.37\nAnswer: -768826.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7014, -7054, -7136, -7266, -7450, -7694, -8004, -8386?\nAnswer: -8846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by -300.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 848641?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.001 - 46.001. Let q = -5304035 + 5304081.00046. Let k = q + a. Round k to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4\/4 - c**3\/3 - c**2\/2 - 1. Let t be d(2). Suppose -k = t*k - 24. Solve -n + k = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 5*y**2 + y. Let c(k) be the second derivative of -k**5\/20 - k**4\/3 + 4*k. Let x(t) = -3*c(t) - 2*d(t). What is x(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601334 is divided by 533744.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.498 + -12.498015141. What is s rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -81, -5, 2, 280.\nAnswer: -81, -5, -4, 2, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -134 - -139. Factor -263 - 8 + 80*k - o*k**2 - 49.\nAnswer: -5*(k - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = p - 3*p. Suppose -p = -z - 1. Suppose 5*x = x - 2*v + 10, 0 = -3*x - z*v - 3. Solve -i - 19 = -x*g, 3*g + i - 26 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/3 + 28*h\/3 - 34 = 0. Calculate h.\nAnswer: -17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, f: 2, g: 2, n: 3}. Give prob of sequence bggb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156364 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 431\/12, -0.02, -0.03 in descending order.\nAnswer: 431\/12, -0.02, -0.03, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 189, 579, 1331, 2565, 4401, 6959?\nAnswer: 10359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2268*n**3 + n**2 - 9*n - 8. Is k(-1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -151, -5.\nAnswer: -151, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhuwwwwhuswbushws. Give prob of sequence bhw.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 35288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 309*l**6*o**3 - l**3*o**2 + 398*l**2*o**3 + 2*o**2 wrt l.\nAnswer: 37080*l**3*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 88 + 7170?\nAnswer: 7268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15627*-0.5.\nAnswer: 7813.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) 36222 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*g + 12, a + 0*a + 7 = -3*g. Calculate the remainder when 238\/22 - a\/(-44) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5041958 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1)\/(4\/4). Let c be 1 - m - (1 - 3). Solve -6 + c = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537036029.8 take away 4?\nAnswer: 4537036025.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -151, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 99869141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481502.\nAnswer: 2, 3, 11, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -29876 - 280. List the prime factors of a.\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1265066115 by 3.\nAnswer: -421688705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103.073 - 14768.\nAnswer: -14664.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2106971000 rounded to the nearest one million?\nAnswer: -2107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523880739 is divided by 1491.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-4\/9)))\/x)**(-2\/37) assuming x is positive.\nAnswer: x**(26\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 16321836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - g**2)*(-2*g**2 + 3*g**2 + 7*g**2) + (-g - 2*g + g)*(-3*g + 3*g**3 + 3*g).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444191016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u, -2*a = 5*u + 2 + 1. Let y = 6 + a. Solve 2*p = p + y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 3e84?\nAnswer: 3e85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**3 - 10*o**2 - 1\/10*o**5 + 1\/120*o**6 + 0 + 0*o - 5\/24*o**4. What is l(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 10.08.\nAnswer: 20.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92465323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.01, -0.5, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3 - 18. Suppose 3*l - w = 149, -3*w + 114 = -l + s*l. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/5757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498548470*i - 498548470*i - i**3 + 49*i**2.\nAnswer: -i**3 + 49*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2031023101 + 0?\nAnswer: 2031023101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 66 + 56 = 0. Is 33332\/8 - (x + 21\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21109 or 21111?\nAnswer: 21111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-804)\/5896)\/(((-240)\/22)\/4).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1344\/(-48) + 1\/(-1)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296295 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 3 + 1)**2 - (sqrt(2) + 5 + (sqrt(2) - (-1 + sqrt(2))))) + (sqrt(36)\/(sqrt(9)\/sqrt(3)))\/(sqrt(216)\/sqrt(4)).\nAnswer: 22*sqrt(2)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i**3 - 15*i**2 + 66*i - 3. Calculate b(4).\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -520.\nAnswer: 519.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3401 is divided by 378.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -42390.\nAnswer: 29\/42390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5409.555ug to grams.\nAnswer: 0.005409555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-335)\/134 + 9\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(40951 - 15*p**2 + 5*p**2 - 40952) + (-43 - 15*p + 43)*(0 - 2*p + 0) to the form c*p**2 + r*p + m and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + ((0\/(-5) + 4)*2 - (-31096)\/(-1521)).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 275 - 280. Which is the second smallest value? (a) -4 (b) k (c) -2\/29 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 p when four letters picked without replacement from mzlzggpgzzmzggzzzg?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*z + 93*z - 17516 = 7542 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**1)**11\/((g\/(g\/(g\/(g\/g**(3\/4)))))\/(g**(-1\/3)\/g)))**(5\/11) assuming g is positive.\nAnswer: g**(-125\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12\/24581 (b) -5 (c) 4 (d) -2\/65 (e) -0.3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104612 (base 7) to base 16.\nAnswer: 4832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 603 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.8 - 11.8. What is the nearest to w in -1, -9\/4, 0.1?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, and 1 n when three letters picked without replacement from rraanwnnn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044 divided by 1044?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 738*f*g - 1563*f wrt g.\nAnswer: 738*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 10*x**2 - x - 2. Suppose w = -27 + 29. Suppose -44 + w = 6*b. Is 34 a factor of a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 5824.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-6 - (-15 + 6) - 8) + 56 + -2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) - (-1)\/2. Let x be (0 + 9)\/((2952\/40)\/41). Solve -4*g = x*m + 40, -4*g + 2*g + t*m = 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1444 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kklllkhlhlllhgklklhl. What is prob of sequence hlk?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 - 1. Let p = -0.01 - -4.01. Let g = i - p. Which is the biggest value? (a) g (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/27)\/((x**(-5\/8)\/x)\/x))\/(x**(-1)*x**8) assuming x is positive.\nAnswer: x**(-929\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r + 8*r - 26*r. Let y(x) = x + 1. Let a(i) = 3. Let q(u) = -a(u) + 3*y(u). What is 6*k(d) + 11*q(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2282.38 minus -4?\nAnswer: 2286.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22623.6l in millilitres?\nAnswer: 22623600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**26*((j\/j**40)\/j*j)\/j)**(-5) assuming j is positive.\nAnswer: j**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.8+2151\nAnswer: 2152.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*a**2 + 521 - 119*a**2 - 521 - 110*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 0*b**2 + b**2 + (1 + 0 - 2)*(-6*b**2 + b**2 + 3*b**2) - 14*b**2 + 2*b**2 + 52*b**2 to u*b + l + o*b**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-1)\/2). Let k(y) = -y**3 - 2*y**2 + 7*y + 6. Let d be k(-4). Let g(s) = 9*s - d*s + 8*s + 2 - 3. Determine g(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 105, -4, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3810 = 3*y + 2*y. Let c be y\/(-4)*(-10)\/15. Round c to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.04, 1.5, -1.9, 0.3 in increasing order.\nAnswer: -1.9, -1, -0.04, 0.3, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-115)\/20)\/(1*(1 - (-88821)\/(-88812))) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-56)*((-2440)\/(-960) + -4).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose z = -7*n + 3*n + 12. Suppose n*r - 3*x = 18, r = 2*x + 15 - 5. Solve 0 = -r*p + 4*b - 4, p + p = -4*b - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flll when four letters picked without replacement from llllflfllflllfffffff.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020957189 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/(-90) + (-636)\/(-4770). Let l be (-1)\/2 + (-6)\/4. Which is the closest to -0.1? (a) l (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -122*i - 165. Suppose 2*l = 4*q + 46, -4*q + 3*l = q + 55. Is g(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 885*l**6*q**2 + 2*l**2 + 23*q**2 wrt l?\nAnswer: 106200*l**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -3 - 2\/9*q**3 - 1\/3*q**2 - 2*q - 1\/18*q**4. Let l(t) be the first derivative of k(t). What is y in l(y) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 6, 7*w - 4*f = 4*w - 37. Let a be (-815)\/w*(-3)\/(-1). Suppose 0 = -4*o + 5*x + 367 - 44, -2*o + 3*x + a = 0. 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 = 531 + -516. What is the remainder when 44 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.8309405 + -9.01193. Let o = 0.181 + y. Round o to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 10 = 0. Suppose s - 2*k + 3*k = 28, -q*k + 8 = s. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -526 and 4.25.\nAnswer: -2235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j - 61*j + 1859 = -155*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310479578 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r + r + 0*r - 2*r + 3*r + (3 - 4 + 2)*(0 + r + 0) - r + r + r + 6*r - 4*r + 3*r - 2*r - r + r)*(4*r - 2*r + 0*r)*(1 - 1 - 2).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 249*b**4*m**2 - 179534*b*m**3 + 9*m**3 - 5776951*m**2 wrt b.\nAnswer: 996*b**3*m**2 - 179534*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 109041 times -7\nAnswer: -763287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 335608733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 515, 776?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.41 in -4\/11, -13, -2, 5?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/51? (a) -0.3 (b) -5 (c) -836 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14073 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: Let r(x) = -4042649*x + 84895630. Calculate r(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19641 + -137489\/7. Which is the nearest to -5? (a) -0.1 (b) -0.4 (c) w (d) 87\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2319 + 2319.001647. Round z to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -35447?\nAnswer: -35450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1240, -2221, -3200, -4177, -5152, -6125, -7096?\n\"Answer: i**2 - 984*i - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186345 is divided by 2622.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p**2 + p + (-2 + 0 + 0)*(-3*p**2 + p**2 - p**2).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3, 32, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5507*z + 5695*z + 2650*z in the form d + n*z and give n.\nAnswer: 13852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122311 (base 4) in base 13?\nAnswer: -4683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 68*m - 27*m - 21*m - 71.\nAnswer: -3*m - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:53 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - -3) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 6*a**2\/11 - 5958*a\/11 + 1203012\/11 = 0?\nAnswer: 282, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -87008 divided by 2?\nAnswer: -43504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165.7 - 168.7. Sort 3718, t, 2 in decreasing order.\nAnswer: 3718, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*1*(-4 + 0 + sqrt(500) + -5)**2.\nAnswer: -720*sqrt(5) + 2321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584982578 to the power of 1\/2, to the nearest integer?\nAnswer: 39812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let y(d) be the first derivative of 2*d**2 + 6*d - 20. Determine -5*b(m) - y(m).\nAnswer: m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9529\/4 + -2360. Let h = -22 + w. Suppose 0 - h*g**2 - 1\/4*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176853 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -512633 and 24.\nAnswer: -512609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 - (8 + (-11 - (10 - 11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4377952 divided by -4?\nAnswer: -1094488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1191 + 2872 - 1037)*(-5*k + 0*k + k)*(-1 + 2 - 2).\nAnswer: 2576*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzb. What is prob of picking 1 b and 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 - 63*z + 272. Calculate the remainder when 2311 is divided by h(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1002, -980, -958, -936?\n\"Answer: 22*f - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47584 to 2 decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -567*f**3 - f**2 + 71*f + 308*f**3 + 60 + 11*f**2 + 258*f**3 = 0. What is f?\nAnswer: -4, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8693*z**3 + 75*z**2 - 18*z**2 - 8717*z**3 to the form c*z**2 + g*z + l*z**3 + o and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t + 33. What is the remainder when 88 is divided by n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-211)\/1477)\/((-75)\/70)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2414 - -2352.074. Let x = -62 - s. Round x to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235403511 to the power of 1\/4, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 7*z**2 + 4*z**2 + (-5*z - 3 - 5 + 9)*(5*z + 14 - 14) to s*z**2 + d + t*z and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*g + 648 = -139*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 412*p**2 + 9924*p + 9512 = 0.\nAnswer: -2378\/103, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 + -164. Let m(u) = 22*u + 3. Determine m(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 2, r: 2}. Give prob of picking 2 k and 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 0*g + 4*b + 14264236, 0 = -4*b + 4. Let n = 747152 - g. What is n rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217 by -7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 8*u. Let i = u + -3. Let n(v) be the first derivative of v**3\/3 + 2*v**2 + v + 1. Calculate n(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 47. Is (-558)\/(-9) + h\/((-4)\/(-6)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40675 + 1?\nAnswer: -40674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let z(b) = -6*b**2 + 55*b - 6. Let n be z(9). Let k be (-4)\/(-60)*n*(-25)\/45. Is k less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 3*q**3 + 3*q**4)*(5*q - q - 3*q - q + 0*q + 0*q + (-q + 0 + 0)*(-3 - 1 + 2) - 2*q + 0*q + q + 0 + 2*q + 0).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -31. Calculate the remainder when 22 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**3 + 6*w**2 + 2*w - 10. Let x(l) = -7*l**3 + 5*l**2 + l - 11. Let p(u) = -3*v(u) + 2*x(u). Let p(i) = 0. What is i?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2335*f**4 + 57925*f**2*s**2 + 8*s**2 + 35*s + 185539 wrt f?\nAnswer: -9340*f**3 + 115850*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, c: 3}. Give prob of picking 2 l and 1 c.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**4\/4 + 3*d**3 - 9*d + 6. Let j(k) = -k**2 + 1. Suppose g - 12 = -3*x - 2*x, -3*g = -x - 4. What is g*w(t) + 18*j(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 5136\/13103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y + 6. Let w be z(7). Let x = 51 + w. Suppose i - x + 4 = 0. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 20 = 24*t - 3*w, -3*w - 4 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {v: 7, b: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*k**2 + 52*i*k + 73*i*m - 19*i + 150168*k**2*m - 4*k**2 + k*m - m wrt m.\nAnswer: 73*i + 150168*k**2 + k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 395 + -395 + (1 - 18) - -19\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 4*y**2 + 3*y + 3. Let o be (1 - 0)*-1*3. Let z be w(o). What is the third derivative of l**3 + l**2 - 3*l**z + 0*l**2 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111202011 - 1202022?\nAnswer: -120111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 11841 = -109239 - 504468. What are the prime factors of r?\nAnswer: 2, 3, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 37*d**2 - 18*d - 4. Let i be -1*(-2 + 3 + (-30)\/(-6)). Let n(a) = 13*a**2 - 6*a - 1. Let y(x) = i*o(x) + 17*n(x). What is g in y(g) = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 6*l)*(36 + 1178*l - 595*l - 588*l).\nAnswer: -30*l**2 + 216*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 8 - 8. Suppose l + 3 + 2 = -3*o, -5*o - 2*l - 10 = 0. What is the second derivative of t - 2*t + x*t + 4*t**4 + o*t**4 wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48358149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:20 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 97, 0.51, -2271?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -16*c + 21*c - 3*m, 0 = 5*c - 5*m + 10. Is -44\/333 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3028*t - 315537 = 7584*t + 151968 - 93913 for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17280*y - 18727*y = -23152 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -11*a + a**5 - 2\/15*a**6 + 2*a**3 + 0*a**2 - 7\/3*a**4 + 0. Factor b(z).\nAnswer: -4*z*(z - 3)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -7*h**2 + 2*h + 1645. Let r(x) = 4*x - 7. Let g(z) = 2*z - 3. Let v(a) = -7*g(a) + 3*r(a). Calculate t(v(b)).\nAnswer: 28*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -106967571?\nAnswer: 4\/106967571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136383 to the power of 1\/2, to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 59670 to the nearest one thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z - 71*z**3 + 0*z + 1 - 60*z**3. Is 47 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 37. Let k be h(36). Let b(t) = 13*t**2 - 140*t - 36. Let x(n) = -n + 6. Let d(m) = k*b(m) + 6*x(m). What is the second derivative of d(g) wrt g?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129408.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 27 = -r, -h + r + 7 + 2 = 0. Solve 0 = -k + 4*k - h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 1 + 2, 2*t - 4*k - 16 = 0. Let m be 0\/t - (-3 - 1). Find the second derivative of m*p - 5*p + 2*p + 2*p**3 wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjojjxttotpoo. What is prob of picking 1 t, 2 o, and 1 p?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20796.084 + -20795.937095764. Let x = -36.146908036 + m. Let y = 36 + x. Round y to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1015*a**3 + a**2 - 27*a.\nAnswer: -6090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2307 and 56137?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 1)*(8 - 1 + 1) - 1 - 1 + 1)*(r + r + 0*r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 21. Let m be n(5). Suppose m*y + 20 = 12*y. Which is bigger: 19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 21*g = -3*g - 5*g. Solve g = -8*u + 25*u - 34 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*j - 13*d = -125*j - 45343, -3*d = 2*j - 22675. What are the prime factors of j?\nAnswer: 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*m - 9 + 0 = 0, 4*q + 5*m = 27. Suppose -230 = -3*y - 2*d + 7, q*d = 5*y - 376. What is the remainder when y is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhdfyfyfdlhhhbdfh. What is prob of sequence lfb?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/18*-18*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76011 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -477 - -484. Solve c = z*c - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79078*i**3 + 38*i**2 - 6*i + 36.\nAnswer: -474468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1871.75\nAnswer: -935.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14313*s + 14306*s - 28616*s + 123 to p*s + x and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 n when four letters picked without replacement from {n: 1, e: 6, p: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*3\/(-15))\/(132\/(-88))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 16 = t. Let x = t - -77. What is the third derivative of 15*b**4 - 6*b**2 - 21*b**x - 15*b**4 + 29*b**2 wrt b?\nAnswer: -1260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.81*21111\nAnswer: 17099.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 125. Let w = u - 15. Differentiate -2*s**3 - 7*s + w*s - 3*s - 3 with respect to s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 - 22 + 12*q + 8 + 3 + 3*q**2 + 8. Let h be v(6). Let a = -884 + h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3148340.\nAnswer: 2, 5, 13, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22517783.\nAnswer: 22517783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 16 - (-24)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6876, -13109, -18724, -23721, -28100?\nAnswer: -31861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gethtsftefshfh. Give prob of picking 2 f and 1 e.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 350?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200358*k**2*p**3 - 2*k**2*p - 563*k*p**3 - 6676*p**2 + 12176*p wrt p?\nAnswer: -1202148*k**2 - 3378*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 5*y - 63, 2*y - 93 + 64 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**3\/3 - 8*q. Let h(l) = 6*l. Calculate g(h(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 - 2. Suppose 0 = 2*q - d - m, 0 = -q + 6*q - d - 339. What is the remainder when q is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-5))\/(-1*(-12)\/(-2460)). Calculate the greatest common divisor of p and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + -0.03. Let k = -9.42 - -7.8. Let g = k - v. What is g rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Let o be v(5). Let f = 7 - o. Find the second derivative of g**f + 0*g**2 - g + 2*g wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 - -4) + -2)\/2. Suppose -4*m - 6 = -22. Suppose k = 9*s - m*s - 85. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 m when four letters picked without replacement from mpvvmcmvvpmmcpm?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2683 - 58?\nAnswer: -26db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24927383471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i. Let n = i + 3. Let x be (2 - n)\/(0 - -1). Do -3 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*x - 3*x**3 - 113553*x**2 + 0 + 0 + 113603*x**2 wrt x?\nAnswer: -18*x + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.049 and 0.4.\nAnswer: 0.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:51 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7549?\nAnswer: 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2022122102222 (base 3) to base 9\nAnswer: 2278388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791*w + 84 = -785*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199788653 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 5:57 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-2240)*-28)\/(18\/(-16))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 9339*h - 9339*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015097.81 rounded to the nearest one thousand?\nAnswer: -1015000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 2. Let i(g) = 140*g**2 + 4. Give 2*h(s) + i(s).\nAnswer: 142*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 675 + -626. Calculate the lowest common multiple of j and 119.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -945, -1419, -1893, -2367, -2841?\nAnswer: -3315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -55, 10, 193, 554, 1153, 2050, 3305?\n\"Answer: 10*f**3 - f**2 - 2*f - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpgppggvgvpppvggp. What is prob of picking 2 v, 1 p, and 1 g?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-819423)\/(-42) - (-9)\/(-126). Calculate the greatest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 5 = -6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = f - 79. Suppose -4*a + 126 = -2*x, 0 = -3*x + 6*a - 4*a - f. Let u = x + 231. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72040513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzjbjbb. What is prob of sequence jjz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1550*w**7\/21 - 20*w**4\/3 + w**3\/6 - 1479*w. What is the third derivative of o(r) wrt r?\nAnswer: -186000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 160.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*h - 4*r + 7, -4*h = 16*r - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -31. Let i = x + 22.9. Which is bigger: i or -1.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 171, -17 in descending order.\nAnswer: 171, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 1\/12 (c) 4 (d) -5 (e) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 18 - (5 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103900571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11720 - -11728. What is the closest to 1\/64 in 2, -3, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3*o**2 + 32315*k**3 + 9290*k**2*o**4 wrt o?\nAnswer: -2*k**3*o + 37160*k**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Suppose 0 = 3*s - 3*g - 12, -4*s + g - 5*g - 8 = 0. Suppose -2*z = -s - 11. Solve -4*n = n + 4*t - 8, x*n - 3*t + z = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c + 0*c)*(255*c + 94483 - 94483)*(-3 - 11 - 3*c + 22 - 8).\nAnswer: -1530*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 28.17. Let t = -1134 + 1134.1726. Let v = t + f. Round v to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/24 - v**5\/60 - v**4\/8 - v**2. Let w be 6 + (-46 - 6)*(-2)\/(-8). Let p(d) = -4*d**3 - d**2 - 3*d. Give w*p(r) + 6*i(r).\nAnswer: -2*r**3 + r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 97860401.1us?\nAnswer: 0.00016180621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*v + 8 = 0, v - 11 = -3*r - v. Factor 3 + 3*g**2 + 0*g**2 - 3 - 3*g**r.\nAnswer: -3*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1016.953 milligrams?\nAnswer: 0.000001016953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:52 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16877, -33736, -50591, -67442, -84289, -101132, -117971?\n\"Answer: 2*p**2 - 16865*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 124849933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3)*(-3)\/(-9). Suppose -3 = -x - 4*p, x - f = -3*p + 5. Solve 2*m + x = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14988 + 24138. Suppose -10*y = 5*y - i. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (1 + 1 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/34*46*(-69)\/15870\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 8\/55, -0.151, 5?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 76, 54, 30, 4, -24, -54?\n\"Answer: -l**2 - 19*l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1.14 (c) -47 (d) -1 (e) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 90368740.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43947631 rounded to the nearest 10000?\nAnswer: 43950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38a6 (base 11) in base 8?\nAnswer: -11725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 + -15 - -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 4*j. Let w = 1 - j. Let l(d) = -2*d**3 + 29*d**2 - 36*d - 36. Let o be l(13). Solve -o*g + 0*g + 3 = w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6569458 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-33))\/((-90)\/(-315) + 623\/(-2352)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-728)\/(-65) + -12)*(-3)\/(-6). Let s(k) = k - 2. Let n be s(-3). Which is the biggest value? (a) f (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -5. Let b(q) be the third derivative of -q**6\/120 + q**5\/10 - q**4\/8 - 5*q**3\/6 - 2*q**2. Determine b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1247, -2496, -3745, -4994, -6243, -7492?\nAnswer: -8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 0.03. Let n = 0.5 - s. Let g = -1287 - -1290. What is the nearest to -1\/4 in n, g, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*t = 62*t - 90 - 114 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 9867?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 409 - 395. Solve v = 11*l - 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -40155131?\nAnswer: -40155133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 3*t**2 + t - 1. Let j be b(2). Let n = -11 + j. Let d be (-3)\/(-9) - n\/3. Solve 0 = c - 5*x + 4*x - 5, 0 = 5*c + x + d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10\/11, -0.4, -5, -374.3, 0.05, -1\/6, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - 2*sqrt(500))*5 + 4)**2 + (3 + ((sqrt(90)\/sqrt(3))\/sqrt(6))**2)*-1.\nAnswer: -400*sqrt(5) + 12508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7. Let l(r) = -r + 1. Determine -f(p) - 6*l(p).\nAnswer: 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 10. Let r be (-5588)\/(-110) + (-3)\/(-15). Suppose 4*q - 253 = 7. Let b = r - q. Let l(d) = -d + 2. Calculate b*l(w) + 3*p(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.1. Let u(i) = 7*i + 218. Let h be u(-31). What is the nearest to h in -3, 1\/2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(153)*-5 + ((sqrt(153) + sqrt(153)*-6)*2 - sqrt(153)))\/(sqrt(90)\/(sqrt(360)*-3)*-4))**2.\nAnswer: 446148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524260?\nAnswer: 2, 5, 11, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 85896128 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d. Let j = d + -6. Is (-26)\/j*(15 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 - (-6 + (1 - 0) + (10 - -9) + -6)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 31856000 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31937130?\nAnswer: 2, 3, 5, 31, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c76 + 283d?\nAnswer: b6b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/16 and -5\/34812?\nAnswer: 139248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1627777*d**2 - 9149*d**3 + 1627777*d**2)*(-4 - 1 + 3).\nAnswer: 18298*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 268 or 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95320.64 centimeters to nanometers.\nAnswer: 953206400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a48 + 3?\nAnswer: -6a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35484 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*a + 152 = 0, 0 = -4*z - 2*a - 2*a + 124. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1226 - 1193. Solve 6 = 13*f - s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15217*d - 15809*d - 11982 = 5186 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 555*d**3 + 28479*d**2 + 254997*d + 227070.\nAnswer: 3*(d + 1)*(d + 10)*(d + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-2\/19)\/f)*f*f*f))\/(f**20\/f))\/(f\/(f*f**12\/f))**(-1\/22) assuming f is positive.\nAnswer: f**(-897\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 12.\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p = -73*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52115 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41045 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4336061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.42+-71\nAnswer: -71.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -78480*k + 1177185. Determine h(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1088 and 195889504?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 12, 1\/8, -4\/35?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-188700)\/238)\/50)\/(36\/84).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 0, 62, 5, 1, -5 in increasing order.\nAnswer: -81, -5, 0, 1, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:00 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136838 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:55 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i - 1. Let p(x) = 6*x - 1. Suppose 0 = 2*h - 3*a - a + 4, -a = -h + 1. What is h*q(n) - 5*p(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h + h**5 + h**5 + 155*h**3 - 81*h**3 - 78*h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 30. Let b = p - -37. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15078431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:10 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -4, 0, 116?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244960 divided by -160.\nAnswer: -7781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p**2 - 431*p - 2876. Determine s(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + x - 22 = 0, 9 = -8*q - 0*x - 3*x - 40 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/(-48)*(-6)\/(-2). Let h = -4 + 8. Put 1, y, h in descending order.\nAnswer: h, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -388241.8 rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 12*r**2 - 9*r + 15. Let s be b(-11). Let h = s - -9. What is the third derivative of 19*d**6 - 18*d**6 + 4*d**2 - d**h wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 924 + -477. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -13708*p - 5387235. Give h(-393).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 - 7666*b**2\/7 - 7357430*b\/7 - 22003350\/7.\nAnswer: -2*(b + 3)*(b + 1915)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 30)\/1*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52055, -104112, -156169, -208226?\n\"Answer: -52057*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*p - p - 10, -2*y + 6 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 7*p - 12. Suppose 16 = 4*h, p*f + 4*h = -h + 92. Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/4)\/(-7) - 0) + (-326)\/652?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/155? (a) 0 (b) -1.3 (c) 0.2 (d) -2 (e) 426\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22284.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (85 - -23) + 1 + 0\/(-1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -56. Let b = -40 + a. Which is smaller: b or 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = -279. Let y = -41 - o. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88\/19, -1\/4, -2\/5, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mysy when four letters picked without replacement from {c: 1, y: 2, a: 1, q: 3, s: 3, m: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2392979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11250378 and 489?\nAnswer: 1833811614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187931563 to the nearest integer?\nAnswer: 13709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 4*a - 2*a)*(5 - 5 + 7)*(0 - 8 + 6)*(1 + 2 + 0) to the form t*a + k and give t.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 11 - 11595*p + 35524*p - 17.\nAnswer: 23929*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 75 = 21*z. Suppose l = 2*t + 2, t - 9 = 9*l - 6*l. Sort -3, z, l.\nAnswer: l, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -92. Which is the closest to -2? (a) -1\/2 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.1 and -0.05.\nAnswer: -1.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:52 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*n - 9, 2 = -4*k - 5*n + 1. Let z be (-4)\/34 - 37\/(-170). Which is greater: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*t - 1)*((2 + 1 - 2)*(-1 + 1 - 2*t) - 525404 + 525404 + 644*t + (-2*t + 0 + 0)*(-1 - 4 + 1)).\nAnswer: -1950*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -0.925.\nAnswer: -0.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-18)*o*o))**(-48)*(o\/(o**(6\/19)\/o)*o)\/(o**(-14)\/o) assuming o is positive.\nAnswer: o**(-15168\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 4)\/(12\/32). Let c = -11 + v. What is the smallest value in c, 0.02, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3 + 53. Suppose 2*i + 2 = 0, -3*f + 0*f + i = -112. Calculate the remainder when f is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1133 - 804. What are the prime factors of d?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4387.\nAnswer: 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1076 = a + 1128, 65 = 5*f. Let g be (4\/(-6))\/((-20)\/33). Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.9 + -21.5. What is the second biggest value in -4\/9, n, 0.03?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43638292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 3*w**2 + 3*w. Let z be d(-3). Let g be ((-6)\/14)\/(z\/63). What are the prime factors of (-8)\/(-4) - (-18 + g\/(-3))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**3\/3 + 3*o**2 - 7*o - 2. Let v(k) = 61*k + 42*k - 18 - 33*k + 211 + 303. Let x be v(-7). Calculate n(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 11*i**2 + 1767*i - 27079. Determine w(15).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*o)*(-o**3 + 0*o**2 + 0*o**2) - 5*o**4 + 3*o**4 + o**4 + (o**2 - 3*o**2 + o**2)*(0*o**2 + o**2 + 0*o**2).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9*-33.871\nAnswer: 304.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 320 = 5*f. Let s = f - 21. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 23*j = -14 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -179 - -187. Let k(i) = i**3 - 8*i**2 + 8*i - 1. Does 4 divide k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 - 5 = 17*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**4\/4 + 2*r**3\/3 - 25*r**2. Let s be l(2). Let g(a) = a**2 + 8*a + 2. Give g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1868460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -626 + 878. Let a(x) = x**3 - 34*x**2 + 68*x - 64. What is the remainder when t is divided by a(32)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2}. Give prob of picking 1 i and 1 h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**5\/20 - 7*a**4\/3 - 31*a**3\/6 + 63*a**2\/2 + 1304*a. What is s(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - t + 74, 13*o - 2*t = 9*o + 132. Solve o*p - 2 = -2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2*21\/(-14). Let t(z) = -3*z**3 - 4*z**2 - 19*z + 9. What is the units digit of t(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 4*q + 2*q - 2 + 2*q.\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -997.00012106 - -997. What is f rounded to six decimal places?\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-82)\/(-2) + 0. Suppose 0 = 5*y - 65 - t. Calculate the common denominator of -3\/10 and (10\/4)\/((-24)\/y).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4513182 and 11?\nAnswer: -49645002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.276 - 0.176. Is 765 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/1)\/(10\/50). Sort 2, z, 3 in decreasing order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 17*g + 14.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -934476 (base 10) to base 3.\nAnswer: -1202110212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4. Let b be 0 + k + (-1 - -3). Solve v + 3 + b = 0, 0 = -4*s - 2*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0*r = 14*r - 23, -4*w + 5*r = -3*w - 23 - 5 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 2870*m + 20202. Calculate z(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-439*w - 4837*w - 1718*w + 1021*w)*(-2 + 0 + 0)*(-4 + 5 - 2).\nAnswer: -11946*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19008, -19005, -19002, -18999, -18996?\n\"Answer: 3*c - 19011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 + 392\/3. Suppose j - 3 = 4*x - 2, 3*x - 1 = -j. Let q = j + 0. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1120 and 7392?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + c + 17 = 0, -6159*c - 9 = -6162*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282331 divided by 10.\nAnswer: -282331\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 30785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 - 21111121010020?\nAnswer: -21111121001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*r + 391 - 22, -5*s = 3*r - 263. What is the remainder when r is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 - (-3 - (-2 - -2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieiiieeieeiiieiii. What is prob of sequence iiee?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 42, 71, 100, 129, 158?\n\"Answer: 29*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 5 (c) -1008.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/7 (b) 15\/8 (c) 6\/13 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 92, 7, 2384?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/5, 0.3, -2\/11, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309 - 650 + 3*x**3 - 659.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40b7ab + 30?\nAnswer: -40b77b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Let d = -8173 - -8170. Put d, c, -20 in decreasing order.\nAnswer: c, d, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1062, -1049, -1020, -969, -890, -777, -624, -425?\n\"Answer: p**3 + 2*p**2 - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 - 6\/2) + 0. Let q = b + 20. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 7. Let i be ((-2)\/u)\/(1\/33). Let m be ((-3)\/9)\/(4\/(-132)). What is the greatest common factor of i and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t - 39. Let u be m(-7). Let p be 2*8\/(2\/1). Suppose 2*c = -0*c + 8. Solve -c = -u*h + p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**3\/3 + 7*t**2\/2 + 2166. What is f(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 700 (b) 1 (c) -6\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9630 - -9623. Is n bigger than -26.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, k: 3, v: 6}. What is prob of picking 3 k?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2710, -11401, -26040, -46621, -73138, -105585?\n\"Answer: g**3 - 2980*g**2 + 242*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -3 - -8 - -1. What is the hundreds digit of l - 9 - -258*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28*u - 187. Suppose -n - 16 = 5*g, -7*n + 5*n + g + 23 = 0. Calculate the remainder when k(n) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let c(q) = 72 + 70 - 69 - 82*q + 85*q + 172. Calculate v(c(d)).\nAnswer: 9*d**2 + 1470*d + 60025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1985449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1122 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3, -1\/82, 0.51, 1, 47, -2\/13?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 4*q**2 - 2*q**2 + (3*q - 6*q + q)*(-2*q + 4*q - 4*q) + (-190*q + 451*q - 163*q)*(2*q - 4*q + 3*q) + q**2 + 0*q + 0*q + q.\nAnswer: 104*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 7}. What is prob of sequence uuu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(-11*v + 14*v - 11*v)*(-4*v**2 + 3*v**2 + 3*v**2).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4122684 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 2, t: 1}. Give prob of sequence pl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**3 - 6*p**2 - p + 6. Let q = -65 - -52. Let v = 14 + q. Let g(i) = -i**3 - i**2 + 1. What is v*c(l) - 6*g(l)?\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*c*n**3*v + 3*c*n**2*v**2 - 164*c*v**2 - 73*n**3*v**2 - n**2*v - 3*n**2 wrt n.\nAnswer: 318*c*v - 438*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/49)*y**12\/y assuming y is positive.\nAnswer: y**(538\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16834)\/(-2215))\/(5\/(-25)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 139*l - 2278. Let k be h(19). Solve 69*a - 72*a + 2*t = -16, 0 = -5*a - k*t + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1059666b0 - -5?\nAnswer: -1059666a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:15 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*l**3 - 9*l**3 - 10 + 1 - 6 wrt l?\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, h: 1, i: 3, q: 1, k: 7, g: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-5)*-3*(-4620)\/616. Sort -2, h, 4, 0.\nAnswer: -2, 0, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeweeewieewwibe. What is prob of picking 1 i and 3 e?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.89 - -0.11. Sort l, 3\/2, 26, -5 in ascending order.\nAnswer: -5, 3\/2, l, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*a. Let q = 20 - 45.5. Let x = q - -26. Sort x, 4, a in increasing order.\nAnswer: a, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 + 2 = -3*x, -u + 6 = -3*x. Let d be (u - 0)\/((-20)\/(-10)). Which is the third smallest value? (a) 3 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - f = 3, 14*f + 15 = 3*t + 13*f. Calculate the remainder when 89 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 2, a: 1, f: 4, k: 3}. Give prob of picking 1 k and 2 f.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 295 - 35 = 0. Suppose 0 = f + 3*f - 60. Calculate the least common multiple of b and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1274 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 + u**3 - u**3 + (4*u - 5*u**2 - 2*u + 0*u**2)*(-34301 + 34302 + 503*u**2 - 155*u**2) to n*u**4 + i*u**3 + z*u + g*u**2 + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -19.1. Let z = -0.1 + g. What is the nearest to z in 0.1, 0, -7\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**2 + 592*a**2 - 782*a**6 - 52*a**2 wrt a.\nAnswer: -93840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 3*t = -20. Let a = -12391 - -12388. Suppose 0 = -2*j - 3*j + 25. Put -1, j, a, t in ascending order.\nAnswer: a, -1, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d + 6*d + d**5 + (-d**3 - d**3 + 0*d**3)*(d + 2*d**2 - d) + d**5 - 6*d**5 + 3*d**5 + 2*d**5 - 2*d + 2*d + 797*d - 797*d + 24*d**5.\nAnswer: 21*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + (14 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 4\/7 (b) 2046 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -858 - -10303\/12. Calculate the common denominator of -23\/9 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - r**2 - 1 + (-2 + 0 + 1)*(18*r**2 + 74*r**2 + 14*r**2) + 0*r**2 + 0*r**2 - r**2 + 4 + 4*r**2 - 4 to o*r**2 + j*r + k and give o.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69339218?\nAnswer: 2, 13, 829, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-30 - -16 - (-1 + -2))) + (-2 - 28).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 1.5.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let r be -2*(-2 - (0 - -1)*-1). Let n(p) be the second derivative of 0*p**r + p + 1\/6*p**3 + 0. Determine n(f(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let r(v) = 2*v - 10. Let b be r(6). Let x = m + b. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2\/57 (c) -0.0848 (d) -5\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 7*f**2 + 8*f. Let l be m(8). Let i = 15.1 + -3.1. Let x = -11.5 + i. Which is the nearest to -0.1? (a) l (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80 or 2316\/29?\nAnswer: 2316\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let a(d) = 547*d. Determine x(a(f)).\nAnswer: 598418*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 245 + 100. Let l be (-28)\/i + (-3)\/(-15). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208983930 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 + -128.91. Let m = -20.5 + 18.08. Let i = m - v. Round i to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -10676?\nAnswer: 4270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -616400, -1232804, -1849208, -2465612, -3082016, -3698420?\n\"Answer: -616404*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/3 + 2108*p**3 - 6325*p**2\/3 = 0.\nAnswer: -6325, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50782 + -31020. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y + 10. Let d be a(5). Let p = 50 - d. Suppose 4*v + 0*h - 16 = h, p = 5*h. Solve v*l + l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1343*m - 1 = -1347*m - b, -2*m + 2*b + 28 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12)*-4*-1)**2*-5.\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4472*q**2 + 15*q + 15. Let x(l) = 638*l**2 + 2*l + 2. What is 2*w(r) - 15*x(r)?\nAnswer: -626*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -191 (base 12) to base 11\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 48849420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnannnnnnnnaaan. Give prob of picking 1 a and 3 n.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -2\/33, -2\/3, -0.2, -17 in decreasing order.\nAnswer: 5\/4, -2\/33, -0.2, -2\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*s - l + 2, -3*l + 6 = 0. Solve m = -s*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 559*q - 1 - 19 - 34*q.\nAnswer: 523*q - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - z + 4 - 3 = 0, -4*z - 6 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*l - 670*l = 48 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5559380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 28 = 5*w - w, -13 = b + 3*w. Suppose -18 + b = -4*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 254 (b) 0.2 (c) -0.9 (d) 1668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 67 + (-6 - 9)\/3. What is the greatest common divisor of h and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6266, -12524, -18782?\nAnswer: -25040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (24 + 13 - 21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1251 * -0.6.\nAnswer: 750.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.23 - 7.24. Let k = t - -3.21. What is the second smallest value in k, -2\/9, 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -879 divided by 1\nAnswer: -879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 461509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2. Let i(m) = -116*m + 56*m + 59*m. Let a(v) = -v. Let u(b) = 3*a(b) + i(b). Calculate p(u(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16417158.\nAnswer: 2, 3, 2736193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 777 divided by 21\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -466*l**2*m**4 - 2*l**2*m**2 - 6*l**2 + 7*l*m - 3*m wrt m.\nAnswer: -5592*l**2*m**2 - 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(18\/(-36)). Let s(j) = -5 + 2 - 8*j + 1. Determine s(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11513*t - 276306. Give x(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -512370 divided by 102474?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + 851157?\nAnswer: 851134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/48 + 4\/6. Let v = 0.34 + 0.06. Put 0, r, v in increasing order.\nAnswer: r, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 3 (c) -16\/33 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -53 (b) 5 (c) -0.1 (d) 4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 826 - 67 = 0. What is the remainder when 76 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 171560 = -5*t, r - 2*t + 5*t - 57192 = 0. Suppose o - 239794 + 68190 = 3*w, -r = w + 5*o. Round w to the nearest one thousand.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/247? (a) -38 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j + 281 = 0. Let k = j + 284. Solve k + 3 = -6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*m**3 - 2*m**2 - 16 wrt m?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 0*j - 5*j + 2, -3*j = -3*p. Suppose -3*w**2 - 10*w**2 + 5*w**3 + 2*w**2 - w**4 + 3*w**p + 4*w = 0. Calculate w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25329770 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tootototooot. Give prob of sequence ot.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -304999 or -304998?\nAnswer: -304998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 331*l**2 + 11*l?\nAnswer: 662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**2\/2 + 4. Let q(d) = 119*d. Calculate f(q(o)).\nAnswer: -119*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135541602 is divided by 168794?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630442.\nAnswer: 2, 101, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let j(b) = -b**2 + 6*b - 1. Let m be 6 - 3\/(3\/1). Let n be j(m). Let y(q) = -4 + 3*q + n. What is y(c(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304448 and 42048?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrr when three letters picked without replacement from {r: 3, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 9*x - 10. Let g be s(8). Let a = 0.3 + -0.1. Let n = 1268\/4487 + 2\/641. What is the nearest to a in g, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = -6*y. Let h be -1 + 0*y\/6. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59 - (56 - 4)) + (1 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1245094\/21 - 177844\/3. Let -22*z**3 + 102\/7*z**4 + 24*z - 2*z**5 - h*z**2 - 40\/7 = 0. What is z?\nAnswer: -1, 2\/7, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -65, -99, -133?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.617306 - -1.23868\nAnswer: 2.855986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*d = 2*k, -5 = 5*d. Suppose -2*m + k*p = -53, -4*m + 145 = 2*p + p. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*v + 16 - 4 = 0, 4*v - 12 = 2*n. Let l be (-7 - -1)*(3 - 8\/6). Let p(r) = r**2 + 10*r + 7. Let d be p(l). Solve n = d*f - 2*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/165 - 115\/92*16\/150.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -2. Let d = b - -17.75. Round d to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (-2*sqrt(80) + 2 + sqrt(80) + 2)**2.\nAnswer: -32*sqrt(5) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3.952. Let h = 87 - 86.652. Let z = f - h. Sort 4, 6, z in increasing order.\nAnswer: z, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -13 + 3. Solve -v*t = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 15*n + 5. Give a(7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105552 is divided by 178.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w + 0*w)*(16*w - 8*w + 5*w) + 1 + 2*w**2 - 1.\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-32)\/x*x))\/x*x\/(x*x\/(x**0*x)))\/((x*x**21)\/((x*(x*((x*x*x*x**(-24))\/x)\/x)\/x*x*x)\/x)) assuming x is positive.\nAnswer: x**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*j - 7. Find the third derivative of 3*a**5 - 8*a**2 + 4*a**2 + a**j - 2*a**2 wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9134, 9014, 8892, 8768, 8642?\nAnswer: 8514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44538022 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c*g*p**3 + 2*c*g*p**2 + c*p**3 - 1838*c*p**2 - c*p + c + g*p**3 wrt p?\nAnswer: 84*c*g + 6*c + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 82*x**3 + 3*x**2 + 17*x - 2. Let k be v(7). Suppose -5252 - k = 9*y. Is (-1 + 2)\/((-6)\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.16. Let r = d - -0.08. Let q = -135 + 132. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -8. What is the common denominator of -2 - (-2)\/(v\/(-83)) and 12\/18*((-1636)\/176 + 2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15509551.2 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 310111313 (base 4) to base 3\nAnswer: 101220002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*v + 5*w, 3*v - 2*v = -5*w + 15. Suppose -v*l + 12 = -l. Suppose -5*c + 3*g = 19, 21 = -4*c + c - l*g. Let u(j) = j + 7. Calculate u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 2*y + 162. Let q(c) = -c + 3. Determine q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26292 - 35*t + 26288 - 105155 + 26285 + 26291 - 10*t.\nAnswer: -45*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7629, -14692, -21755?\nAnswer: -28818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - -3) + 1 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (60 + (-53 - 55) - (17 - 0)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -4.5 (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + 101011111000000?\nAnswer: 101011110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17797, -34167, -49113, -62635, -74733, -85407, -94657?\nAnswer: -102483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3) - (2 - (-1474510)\/(-1050)). Let v = m - 1404. Calculate the common denominator of v and 113\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1112 and -17\/636?\nAnswer: 176808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 485 and 130405?\nAnswer: 12649285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13871174 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*h = -196*h. Solve -2*z + 4*f + h - 4 = 0, -5*z - 3*f + 29 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5*j*j\/(j*j**(2\/5)*j)*(j**(-1))**(-2\/5)*j\/(j\/(j\/(j\/(j\/(j\/(((j*j**(1\/3))\/j)\/j)))*j)))*j**(-3)*j*(j\/(j*(j\/(j**0*j))\/j))**23 assuming j is positive.\nAnswer: j**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6996 divided by 19?\nAnswer: 6996\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24057 - 24057. Put 1, -66, p, -3 in decreasing order.\nAnswer: 1, p, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132076 divided by -2\nAnswer: 66038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*g**3*x*z**2 + 459*g**3*z**2 + 4*g**3*z + 4960*g**2*x*z**2 - 7*g wrt x.\nAnswer: 24*g**3*z**2 + 4960*g**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 10*n**2 - 2*n + 15. Suppose 4897 = 30*c - 4193. Suppose 23*f - c = -73. Calculate z(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 87*p + 1017. Let s be v(14). Sort s, 1, 4, 3, 329 in increasing order.\nAnswer: s, 1, 3, 4, 329","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1770260 in 1\/8, -0.04, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(21)\/(sqrt(7) - sqrt(847)) + ((-1 + sqrt(3))**2 - sqrt(3)) + 0.\nAnswer: -31*sqrt(3)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35932910 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -554094338 divided by 39578167\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4560871 or 31926101\/7?\nAnswer: 31926101\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from omvsosmv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4 (c) 10441 (d) 0.4 (e) -245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 11:25 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 8\/691 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000522003 rounded to 7 decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*p + p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28683224 - 0.165.\nAnswer: 28683223.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -133. Let t = s - 146.6. Let d = t + 15. Which is the nearest to -2\/5? (a) -0.5 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 20, 18, 16, 14?\n\"Answer: -2*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121883 is divided by 179.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2359.\nAnswer: 235.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-50)*10\/(-6). Which is the closest to -0.1? (a) i (b) -2\/11 (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 7. Let k(j) = -j - 6. Let b = -27 - -21. Determine b*t(r) + 7*k(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjyjjjjjjjjjjjjjjjjj.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 - 1. Suppose 0*w + 30 = -2*w. Let g(o) = -o**2 - 14*o + 16. Let c be g(w). What is v(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*b, -2*k + 180*b = 175*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 876*x**3 + 2*x**2 + x - 2. Is g(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 54*y**2 + 102*y + 114. Calculate p(52).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 1 + 36 + -6 + -21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 - 2*n + 3. Let t(z) = 16*z**2 - 42*z + 3. Let j(h) = -5*h**2 + 13*h - 1. Let v(u) = -13*j(u) - 4*t(u). Determine 3*o(i) - 6*v(i).\nAnswer: 3*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2837, 5656, 8463, 11252, 14017, 16752?\nAnswer: 19451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t - 87. Let g be d(-9). Find the second derivative of 1 - 2*j**5 + g*j - 2 + 7*j**4 + 4 wrt j.\nAnswer: -40*j**3 + 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 4179?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from hheeheeqqhhhhhhhhhnq.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 6361, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k. Let x(p) = 5661*p + 7831*p + 3510*p. Determine a(x(w)).\nAnswer: 34004*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4)*614 - (-7)\/(-14). Differentiate 2*s - 31*s**2 - s + k - 2*s - s with respect to s.\nAnswer: -62*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 24 - 11. Is 0 - -727 - (-28)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -837\/7 + 4763\/42. What is the common denominator of x and -46\/293?\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 2*g + 3*h, -3*h + 373 = 3*g + 130. Let d = 265 - g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1300) - (3 + sqrt(208))**2.\nAnswer: -217 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5494 - 0.5494. Which is the fifth biggest value? (a) -1\/3 (b) 5 (c) l (d) -1\/5 (e) 1\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 4 + 0*i + 2*i + 0. Let v be p(-6). Let u be ((-8)\/80)\/(v\/8). Is u > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-2 + 4 + 1). Suppose 8*f - 445000 = n*f. Round f to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r**3 - 7*r**2 - 9*r - 1. Determine t(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249 and 22441872?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j = -56*j - 142. Suppose n = 88 - 16. Let c = j + n. Solve g + c = -2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*x + 15 = 0, -477*t = -475*t - 5*x + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3772 - -3624. Is q < -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -943 at least -942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 9548 = r, 5*d - 108*r + 91*r = 47828. Does 48 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 14. Let x be z(0). Is (-33450)\/x - (-16)\/(-56) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 143*d**2\/3 + 1680*d + 1728.\nAnswer: (d - 72)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by (-819)\/84*32\/(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0342, -25, 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5802?\nAnswer: 2, 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 31 = 13*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1198 and 14646748?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3457*-0.2.\nAnswer: -0.06914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -10 (c) -2.1 (d) 15.15 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, p: 2}. Give prob of sequence ipi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*s + 17, 0*s - 2*s = -2*j - 10. Let k = j - -7. What is the least common multiple of 7 + (-7 - -1) - -6 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-36))\/(1\/(-12)). Let y(i) be the third derivative of 0*i**3 + 0*i**h + 1\/30*i**5 + 0 + i**2 + 0*i. Let z(k) = -2*k**2. What is z(y(q))?\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2343 greater than -2378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -96*w - 1057. Let i be j(-11). Put i, 19, -3\/5 in descending order.\nAnswer: 19, -3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from wiccwwwwi.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 32, 3, -3 in descending order.\nAnswer: 32, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(c - 2*c - c)*(-40*c + 300*c + 283*c).\nAnswer: 2172*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4. Let h(u) = -u - 3. Let o(k) = 2*f(k) - 3*h(k). List the prime factors of o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by 1587580.\nAnswer: -83\/1587580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 9\/6)*(4 + 138). Let b = 74 + g. Sort b, -4, 0.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Let s = y - -6. Let p = -2824 + 2824. Solve p = -2*n - 4*t, 0 = n + s*n + t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.282 and -194048.5187.\nAnswer: -194051.8007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/2, 1\/6, 5, 6 in descending order.\nAnswer: 6, 5, 1\/6, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i - 5. Let p be x(14). What is the tens digit of 6\/(-21) - p\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Let x(w) = 18*w - 8. Let r(k) = v(k) + x(k). Differentiate r(f) with respect to f.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 25*j - 83 = -2*j + 337 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 + 14981*o + 14980. Determine y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -69, -184, -397, -738, -1237, -1924?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 15. Let w(o) = 2*o - 16. Determine -5*n(t) - 4*w(t).\nAnswer: 2*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/6)\/((-1)\/4 + 1). Let k + 5*r**3 - 6*r**2 - 4*r**3 + 4*r**3 - 3*r - 2*r**3 = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1343, 2664, 3985, 5306?\nAnswer: 6627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 56*y**2 + 245*y + 5. Let d be p(-4). Solve -4*m - d = 5*v - 21, v = 4*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + -2 + sqrt(192))*6 - (sqrt(108)*1 + -1*(sqrt(147) + sqrt(3) + sqrt(3))))*-6)**2.\nAnswer: -88128*sqrt(3) + 301644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 608322220 a multiple of 8891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*g - 11, 40*g - t = 43*g - 7. Sort -1\/6, -3, -0.31, g.\nAnswer: -3, -0.31, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-9))\/(2\/24). Let n be (c\/(-25))\/(1\/5). Suppose n*u = 33 + 47. Solve -2*k + 3*m - 6*m = -u, -k + 3*m - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 1142?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, and 2 a when four letters picked without replacement from aafiaffavaafafw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30545666, -61091314, -91636950, -122182574, -152728186, -183273786, -213819374?\nAnswer: -244364950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 459, 1, 4, -38 in increasing order.\nAnswer: -38, -5, 1, 4, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412897 (base 12) to base 8.\nAnswer: -3711563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1055094 and 64335.\nAnswer: 5275470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29417 - 20907. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d**6\/3 - d**4 + 24. Factor x(p).\nAnswer: 4*p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 4*r + 20. Suppose -2*u + 2*h - r*h = -8, -4*h + 13 = 3*u. What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1130*y**2 - 562*y**2 - 567*y**2. Let f(t) = 3*t + 14. Determine x(f(d)).\nAnswer: 9*d**2 + 84*d + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6681690 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9581*v - 555687. Calculate a(58).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*5)\/(sqrt(9) + (sqrt(162)\/sqrt(3))\/sqrt(6)) + (sqrt(13) - -5*(sqrt(13)*1)**2) + 1 + -3.\nAnswer: -4*sqrt(13) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/12 + 5*p**3\/3 - 15*p**2 + 9*p. Let o be x(-13). Solve -i - o = -10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1967*f + 1. Let l(d) = -325*d. Calculate 26*l(z) - 4*t(z).\nAnswer: -582*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 (base 10) in base 4?\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s - 32224 = -57*s. What are the prime factors of s?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 764993*g\/2 + 1529985\/4.\nAnswer: (g - 1529985)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18415526.\nAnswer: 2, 9207763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-59 + (-19 - -40)) - (3 + -3).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 17*g**2 + 6. Let j(i) be the third derivative of -i**3\/6 + 14*i**2. Let u(x) = d(x) - j(x). Differentiate u(v) wrt v.\nAnswer: 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115\/2 - 57. Which is the closest to 0.3? (a) -3\/4 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 10*g - 6. What is the remainder when (-2)\/(g\/(-140)*4) is divided by (1 - 10)*(0 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -34*k + 553718. Let u(x) = -5*x. Determine r(u(s)).\nAnswer: 170*s + 553718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35058 divided by 6\nAnswer: -5843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 93. Suppose 3*b = b, 5*t + b - 475 = 0. Calculate the greatest common factor of k and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 3*o**2 + 14*o - 23*o - 9. Let m(i) = 5*i**2 + 46*i + 46. Let v(z) = 2*m(z) + 11*p(z). Let c be v(-6). Put c, 18, 4, -2 in decreasing order.\nAnswer: 18, 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -5*s**8\/28 - 7*s**4\/12 + 9*s. Find the third derivative of p(d) wrt d.\nAnswer: -1200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25283 - 597*f - 2*f**2 + 317*f + 25283 + 280*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - 2*c**3 - 3*c**3)*(3*c**2 - 5*c**2 + 0*c**2) - c**5 - 4*c**5 - c**5 + 15*c**5 - 2*c**5 + 2*c**5.\nAnswer: 13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z + 69*z + 4 = 2*m, 5*m + 20 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2827157, -0.13, -1\/4?\nAnswer: -1\/2827157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -13. Suppose 4*k = k + u*k. Factor -2*m + 2*m**3 - 83 + 85 - 2*m**2 + k*m.\nAnswer: 2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -361\/5 + 73. Let j = 28.32 + -28. Let t = j + -0.22. What is the second smallest value in t, -0.5, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(0*b + 2 - 2*b**2 - 5 - 2*b) to k*b**2 + g*b + o and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 350537809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-46)\/(-24))\/((-36)\/9) and -15\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 25938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 - 4 - 6*t**2 - t**3 + 28 in the form z*t**2 + g + s*t**3 + d*t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 8 = -2*f, 0 = -2*q + 5*f - 9*f + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*y - 67 - 17, 0 = 4*i + y - 75. Let c(t) = 4*t + i*t - 6*t. Let j be c(1). Calculate the highest common factor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25388 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, k: 9}. Give prob of picking 3 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*d - 1. Let b be ((-3)\/(-18))\/(d\/(-6)). Let j be 8\/(-21) + 10\/15. Sort j, -3, b in increasing order.\nAnswer: -3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 11*t + 30. Let r be k(13). Suppose r*a - 58 = 6. Solve a*q = 18*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18 + 14)\/(2\/3). Let q(g) = -10*g - 39. List the prime factors of q(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3 - d + 67 - 3*d**3 + 43 + 4*d + 6*d wrt d?\nAnswer: -6*d**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010101 - -1010110100111010?\nAnswer: 1010100010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/6 - u**3 + 2*u**2 - 4*u. Factor p(c).\nAnswer: 2*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45, -232, -709, -1620, -3109, -5320, -8397, -12484?\n\"Answer: -24*a**3 - a**2 - 16*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212121022210 + 11111?\nAnswer: -2212121011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + p - 4*p)*(-2 + 4 + 2) - 4*p + 4*p + p)*(-2*p**3 + 0*p**3 + 0*p**3).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 275, 296, -91, -1126, -3049?\nAnswer: -6100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9039, -9054, -9093, -9168, -9291, -9474, -9729?\n\"Answer: -2*h**3 - h - 9036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232 (base 10) in base 8?\nAnswer: -4270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/6 (c) 4\/7 (d) 2\/11 (e) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12*h - 9*h + 13 = 0, 4*h = -20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/15 + 1983178*k**2\/15 - 1983184*k\/15 - 264424 = 0.\nAnswer: -991590, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 10 - (3 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - 4) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 - -c882a?\nAnswer: c88ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - b = -5*b, 0 = -4*n - 3*b. Calculate the lowest common multiple of 10 and (-2)\/(-3)*3 + n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -351030\/127 + 2764. Let p = 3754 - 3754. Are p and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 308 + 4 = 9*c. Solve 9*f - c + 35 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2454039231.\nAnswer: 3, 7, 53, 2204887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13*j + 162. Determine m(25).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 69845*b - 17461.\nAnswer: -(b + 17461)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -11.5. Let r = 66 + -66. What is the closest to 0 in 2\/3, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142731 is divided by 5589.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1, -161?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 - 12*w + 35. Let t be x(5). Suppose -a - 5*g - 4 = 0, 5*a + 5*g = -0*g. Is (-3)\/((63\/t)\/7) + a a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*a + (0*a + 4*a - 2*a)*(-3 + 3 - 2))*(-1 - 1 + 0)*(11 + 15 - 4).\nAnswer: 352*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -35.8. Let m = 0.013 + -8.013. Let j = v - m. Which is the closest to j? (a) -0.3 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1944768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**2 + 0 + 1\/12*w**4 + 0*w - 1\/2*w**3. What is f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (27\/(-54) - (2 - 2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*p - 34 = 0, -5*p + 5 = k - 0*p. Which is the nearest to -1\/2? (a) 0.4 (b) k (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 43 + -2 + 0 - 1. Suppose 7*w - c = 3*w. Calculate the smallest common multiple of w and (-56)\/(-6)*(-6)\/(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 4*n + 9. Let d be j(7). Suppose -y + 0 = -4*x - 12, 5*x + d = 2*y. What is the remainder when y is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -23*p**2. Let g(m) = 214*m - 49. Determine g(y(i)).\nAnswer: -4922*i**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 11921 and 84.\nAnswer: 12005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 70. Sort -3, 3, a, 1 in ascending order.\nAnswer: a, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*f + f - 6 = 0, -4*g + 3*f + 9 = 0. Suppose g = -a - 14 + 35. Let c = a - 1. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/102 and ((-11)\/600)\/(10\/(-25)).\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 9:43 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3243430200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2447\/2136 + -11\/534. Find the common denominator of (-5)\/(-10) + 138\/(-110) and w.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4 + 180*b**3 - 7*b**2 - b - 19 wrt b?\nAnswer: -48*b + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**2 - w**2 + 3*w**2 + (3*w - w - 3*w)*(-1 + 1 + 2*w) + 2*w**2 - w**2 + 0*w**2)*(8 + 38 - 20) as z*w + h*w**2 + f and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 49.815\nAnswer: 19.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 3 (c) 5\/124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12887\/6780 - -1\/1356. Let u = 267\/130 + w. Factor 4\/13 + u*m - 2\/13*m**2.\nAnswer: -2*(m - 2)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9692.42418121 and -12?\nAnswer: 9680.42418121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 7*a + 2*w = 11, 0 = -5*a + w + 33. Sort -17, -3, a in decreasing order.\nAnswer: a, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 53710350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297970268 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -68.6. Let a = k - 0.9. Put a, -2, -4 in increasing order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63.99999911 + -64. Round o to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**5\/20 - x**4\/2 - x**3 - 3*x**2\/2 - 10*x + 18. Let a(k) be the first derivative of m(k). Determine a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((((sqrt(405) + -1)*-4)**2 - ((sqrt(405)*-2)**2 + 5)) + ((4*(-1 + sqrt(405)))**2 - ((1 + sqrt(405) + 5)**2 - sqrt(405)))).\nAnswer: -675*sqrt(5) + 10926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) -3\/4 (b) 5 (c) 0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + (sqrt(243) + -4 + 4)**2)*-2.\nAnswer: -486 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 + 0 + 16*y**2 - 14*y**2 + 3*y - 1. Let a(m) = m**2 - m + 1. What is -2*a(n) - i(n)?\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 2:59 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r = -55*r + 3*b + 7619, -3*r + 11430 = -5*b. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:04 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 3892 - z - 4*z + 3895. Let o = -21 + -40. Let k = -57 - o. Determine b(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -41*t - 256. Let j be b(-6). Which is greater: -21 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -870, -1.\nAnswer: -870, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 1. Let f be 1\/(10840\/48456 - 2\/9). Let u(h) = 7 + 667*h**2 - 3 + 0 - f*h**2. What is -2*s(n) - u(n)?\nAnswer: 4*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 16*f + 24. Let t be u(-10). Let r be 40\/18 + (32\/t)\/4. Find q such that -2\/5*q + 56\/5*q**4 + 4\/5 - 42\/5*q**r - 16\/5*q**3 = 0.\nAnswer: -1\/2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 589*h - 131*h - 94*h + 704*h + 1624 + 498*h wrt h.\nAnswer: 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -18. Suppose 0 = -0*h - 3*h - v*g - 140, 4*g = 8. What is the remainder when 2\/(1 + -5)*h is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(448)*1)*3)**2 - ((sqrt(1372) + sqrt(1372) + 2*sqrt(1372) - sqrt(1372)) + (sqrt(252) + sqrt(252) + (sqrt(252)*1 - sqrt(252)))\/sqrt(9))**2.\nAnswer: -10636 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + y + 56 - 2*y**2 - 24 in the form m*y**2 + h*y + s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggagggg?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = t + 5, -16 = -5*w + 4*w - 4*t. Let g(i) = 13*i**3 - 10*i**2 - 3*i + 18. What is the tens digit of g(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(396) + -1).\nAnswer: -4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 - 363. Let j = -170 - s. Let h = -4 - -25. What is the remainder when j is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24223976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3 - 10*o**2 + 8*o**2 - 18*o + 6*o = 0. Calculate o.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28474362, 28474361, 28474360, 28474359, 28474358, 28474357?\n\"Answer: -o + 28474363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 865607, 1.\nAnswer: 1\/8, 1, 865607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 13*t**5 + 2*t**3\/3 + 7*t**2\/2 + 45*t + 1623. What is the second derivative of v(d) wrt d?\nAnswer: 780*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-2)\/4*-218. Suppose 8*l = i + 238. What is the remainder when l is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 37. Let z be k(-6). Let n = 30 - z. Suppose 0 = -n*y - 2*h + 265, 44 = y - 4*h - 9. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1650 and 11834350.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - g**2 + g - 2. Let h(b) = 0*b**2 + 2*b**2 + 5*b**2 - 5*b - 4 - b**3. Let o be h(6). What are the prime factors of i(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39496156*5\nAnswer: 197480780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 960 - 6717\/7. What is the nearest to v in 4, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**4)\/w**(-2\/19)*(w\/(((w\/((w*w**(1\/2))\/w)*w)\/w)\/w))**(-16\/3) assuming w is positive.\nAnswer: w**(-207\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 457179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2350)\/45 + (-4)\/(-18). Let c = l + 89. Let d(s) = -2*s**2 - 47*s - 130. What is the remainder when c is divided by d(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 1, y: 2}. What is prob of picking 1 y and 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/302148 and -17\/50358.\nAnswer: 302148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 221704420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(117)\/sqrt(3)*6 - (4*sqrt(39)*-2 + sqrt(39)))\/(3*(sqrt(12)*-5 - (sqrt(3) - (-3*sqrt(3)*2 - sqrt(3))))).\nAnswer: -7*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 9. Calculate the smallest common multiple of 9 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -303011, -606020, -909015, -1211990, -1514939, -1817856, -2120735?\n\"Answer: u**3 + u**2 - 303019*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-31))**(3\/11)\/(g*g*g*g**(-2\/11)*g\/(g\/g**(-7\/3))*g*g) assuming g is positive.\nAnswer: g**(-361\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -597, -1338, -2375, -3708?\nAnswer: -5337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m + 40 = 0. Let i be 12 - m - 22\/8. What is the closest to -2\/5 in -0.1, i, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1265\/16 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let n(g) = -21980*g**2 + 12. Determine n(z(b)).\nAnswer: -21980*b**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d + 7. Let q(n) = 11*n - 14. Let k(y) = 5*f(y) + 2*q(y). What is the derivative of k(t) wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -352*y**2 + 742*y + 2 wrt y.\nAnswer: -704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -13. What is the tens digit of (5 - x)*27\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 15 - 5. Let v = 585.34 + -585.04. Sort v, -2\/15, i, -4 in descending order.\nAnswer: v, -2\/15, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 7738432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, s: 6, p: 7, q: 1}. Give prob of picking 2 x and 1 s.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -223, -273, -323, -373?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*c + 303*c + 7 - 21*c - 6 - 121*c in the form i + s*c and give s.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 117. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**3 - 17502*r**2 + 7659750*r - 1531250.\nAnswer: 2*(r - 875)**2*(5*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c - w + 5, 4*c + 4 = w. Suppose -i = -c*i. Is -7 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:34 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091812553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46250, -369860, -1248258, -2958842, -5779010, -9986160?\nAnswer: -15857690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 235 (b) -19 (c) -1 (d) 0.007 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7269 + -7271.4. What is the closest to m in -5, 0.07, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - -65 - (1 + 4 - 4 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -0.5, -0.1 in descending order.\nAnswer: 0.07, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01598724712871 take away 3?\nAnswer: -2.98401275287129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 781 + -761. Solve -5*j = 5*q, -2*q + q - 5*j = -n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in 2.12, 0.1, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from {y: 8, m: 5}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 237, 1\/8, 235, 2\/11, -3\/8?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 969798 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641107511145*m + 1 + 641107511322*m - 1.\nAnswer: 177*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = g - 2*k + 3*k, -3*g + 3*k + 12 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:30 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (96 + -110 - (0 + -15)) + (-1 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1521151 (base 7) to base 13\nAnswer: 73246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 7*w**3 - 107 + 107.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38809*p - 38807*p + 77603*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*r - r - 24, 0 = -4*r - 3*i + 20. Suppose 2*v - 1 = v. Calculate the greatest common factor of r and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80050 = -3*m + 80083. Calculate the remainder when 26 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41576077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/132 and -25\/1971?\nAnswer: 86724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**5 + 49*p**3 - p**2 wrt p?\nAnswer: 180*p**2 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28155382151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q - 12. Let o be (-3)\/q*-2653 + 0. Let v = o - -680. What is the common denominator of -67\/6 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437011 (base 8) in base 6?\nAnswer: 3052201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 2 - (-153 - -158)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 15 = 0, -8*d = -12*d + 3*s + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138478469749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88)\/sqrt(4) - sqrt(44)\/(sqrt(4)\/sqrt(2)))\/(3*-2*sqrt(891)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 261*s**2 - 3*s + 1. Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0332 - -0.0332. Let y = p + -0.3. Sort -0.2, y, -2\/13.\nAnswer: y, -0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(52))*3)\/(sqrt(484)*-1) - (sqrt(156)\/((sqrt(108)*-1)\/sqrt(9))*5)**2.\nAnswer: -325 - 12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**4 - 700*k**3 + 13372*k**2 + 14076*k = 0. What is k?\nAnswer: -1, 0, 23, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 - -123.2. Let c = -14 - u. Let q = 1.95 + -2. What is the third biggest value in q, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 734427262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -21*r**2. Let c(p) = 8*p + 6. Let n(x) = 17*x + 13. Let l(k) = -13*c(k) + 6*n(k). What is q(l(t))?\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 3)*(-3)\/2. Let h(g) = 112*g + 2355. Let n be h(-21). Put l, -5, n in decreasing order.\nAnswer: n, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/17)\/q)\/q)\/q)\/((q*q**(-5)\/q)\/q)*q**(-4\/7)\/q*q\/((q\/(q*q**24))\/q) assuming q is positive.\nAnswer: q**(3250\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 58\/3 of a day?\nAnswer: 464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**4\/4 + 1791*l**3\/4 + 785913*l**2\/4 + 780545*l\/4 - 784125\/2 = 0.\nAnswer: -1025, -765, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -502 - -942. Calculate the highest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13544425 - 12?\nAnswer: -13544441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -1, 4*p - 143*o - 24 = -151*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12117 + -314?\nAnswer: -12433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 28*t.\nAnswer: -2*t*(t - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0 + -2 + 54. What is the greatest common factor of b and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.46 - 0.14. Let t = -16 + 13. What is the third biggest value in t, 0.5, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3859 + 5806.1. Round z to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:10 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o, 2*o - 6 = -2*a - 0*o. Let r = -165 - -171. Solve 0 = -w + r*y - y - 20, -a = -2*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 2*d, -5*m = -0*d - 3*d - 19. Suppose -m*x + 36 = -3*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 1831975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*q - 12, 0 = -3*q + g - 0*g + 14. Suppose -3*w + 24 = 3*y, 37 = q*y + 6*w - w. Solve 0 = -3*x - y*l + 6*l, 0 = -4*l - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*k**3 + 16*k**3 + 17*k**3 + 8*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 0.3 (c) -2\/7 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 290 (b) 12\/11 (c) -0.2 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 25*z. Let u be a(0). Solve u*s - c = 3*s - 7, c = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 4*s + 15. Let j be u(6). Let p(o) = -6 - 6 + 12 - j*o. Give p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p**(-3\/4))**(2\/51)\/((p**15\/p)\/(p\/((p**(2\/39)\/p)\/p*p)))**(-10\/17) assuming p is positive.\nAnswer: p**(3181\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31862348 and 392.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 - 2.9. Let z be 38\/20 - (-4)\/(-10). Let n = -3729 - -3728.99. What is the second smallest value in n, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 66 = -2*u, i + u = -u - 27. Let t = 34 + i. Let f = 20 + t. Solve -3*k - h - h = -f, 1 = -3*k + 4*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z. Let t(q) = 4270608*q. Give l(t(x)).\nAnswer: 25623648*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0370338l to millilitres.\nAnswer: 37.0338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*p + 12, 4*p - 404 = -l - 367. Solve 2*u - v = 2, v + p = -4*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -100 in decreasing order.\nAnswer: 0.4, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**7\/315 + 11*k**6\/90 + 121*k**5\/90 - 28*k**2. Factor s(r).\nAnswer: 2*r**2*(r + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*s + 32 - 122, 3*f + 4*s - 260 = 0. Let r be (-2)\/9 - f\/(-36). Solve -o + 2*p + 1 = 7, 3*o - 2*p = -r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/3 - -3 - -2. Let c be -1*1*(0 + 1). Let a = c - -2. Solve z*i = -2*q, -a = 2*q + q + 2*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2299) - sqrt(2299)*3))**2 + -5 + -2*sqrt(2299).\nAnswer: -66*sqrt(19) + 9192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 5. Let g(k) = 4*k**2 + 4*k + 3. Let s be g(-1). Let c be (5 + -2)*s\/(-9) + -3. Give f(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dklkklmklddjkkkdk. What is prob of sequence dd?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 562433483 to the power of 1\/3, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 338?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 474682*p**4 + 244505*p**2 wrt p.\nAnswer: 11392368*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l - 68*l + 25 = -5*q, 20 = -4*q - 4*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 2229.\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 0*y**4 + 0*y**6 - 26*y + 0*y**2 + 17\/14*y**7 + 1 + 19\/6*y**3 + 0*y**5. What is the second derivative of k(j) wrt j?\nAnswer: 1020*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86003 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/3, 1\/9, -244, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 35*h**3 + 36*h**2 - 9*h + 9. Let r(k) = k**3 - 6*k**2 + k - 1. Let y(l) = -b(l) - 6*r(l). Give y(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -376210631216 and 0.4?\nAnswer: 376210631216.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136891 and 1085219?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162108 and 16264836.\nAnswer: 48794508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 2*f**4 + 3*f**2 + f**2 - 2 + 5*f to o*f + m + c*f**3 + t*f**2 + g*f**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0093 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88511 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x - 6. Suppose 2*m + 16 = -0*m. What is the remainder when r(m) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 - 5 + 5*h + 73 - 11*h**2 + 2*h**4 - h**3 to the form s*h**4 + f + x*h + y*h**3 + u*h**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336 is divided by 442?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 i when three letters picked without replacement from hvhllleeiweieiwllil.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*(-5)\/((-50)\/16). Calculate the smallest common multiple of ((-286)\/33 + 6)\/(m\/6) and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}