diff --git "a/data/dm_maths/full_data/1886_11255.jsonl" "b/data/dm_maths/full_data/1886_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1886_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many grams are there in 0.0774066 nanograms?\nAnswer: 0.0000000000774066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + q - 3 + 8, 20 = -4*q. Suppose 5*h - 24 = 16. Suppose -4*u - h = -z*u. Sort -4, 1, u in increasing order.\nAnswer: -4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 212 + -212.2. Which is the third smallest value? (a) 4 (b) q (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*6 - ((sqrt(187) - (sqrt(187) - (sqrt(187) + sqrt(187)*-1))) + sqrt(187))*-6)\/(sqrt(66)\/(sqrt(294)*-2 + sqrt(6))).\nAnswer: -234*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 12*x + 11. Let h be a(6). What is the highest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.9 - 1.30555?\nAnswer: -56.20555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/9, -1\/3, 6, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 - 11*u - 1. Let a be f(3). Suppose 3*b - 8*b = -a*d - 16, -3*d = 3*b - 18. Solve 9 = d*i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/11, -1.137, -62.\nAnswer: -62, -1.137, 36\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2))\/(5 + 165\/(-6)) - (-17)\/(-18).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/((99\/(-7056))\/11). What is the greatest common factor of j and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 6*c + 26)*(7 - 1 + 0)*(c + 3*c**3 - c).\nAnswer: 108*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*n + 669516592*j**2 - 1470*j*n - 17037*j wrt j.\nAnswer: 4*n + 1339033184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 45942\/1302 + 1*(-20)\/(-28) + -1\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(130\/(-148)) + (-62 - -56)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:49 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*y - 20, 0 = 24*y - 27*y + h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + (5 - 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 1\/30*t**4 - 2\/5*t**2 + 0 + 2*t + 1\/15*t**3. Factor q(x).\nAnswer: 2*(x - 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 g, and 1 j when four letters picked without replacement from jdfggggjfdf.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from bbyxbybxoybxxob?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-13)\/(-13))\/((-40)\/476) - (-11)\/1?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/32822 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 2. Suppose -7*h + 6*h - 1 = 0. Sort h, y, -5 in ascending order.\nAnswer: -5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -6. Let y be ((-15)\/(-9) - 1) + 5\/(-10). Which is the second smallest value? (a) y (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 484 + -483. Suppose 3*j + 14 = -5*v, -4*j + k = 3*v + 5. Let a = 7 - 2. Solve -4 - 17 = -3*y - j*d, a*y - 3*d = 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5901106543 + 5901106557.000000058. Let d = -14 + f. Round d to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -571574 divided by 17\nAnswer: -33622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 l, and 1 c when four letters picked without replacement from {c: 6, l: 4, e: 4}.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 7 = -8. Let z = 188406 - 188374. Put z, j, -1 in ascending order.\nAnswer: j, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*n + 769 = -45, -395 = l + 5*n. Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 6*r + 3. Let h be z(-6). Let v be (-1*9\/h)\/(-3). Let -l**4 - 1 + l**3 + v = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.044489l to millilitres.\nAnswer: 8044.489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/2*(-3 - 43510\/(-14505)). Let c = 33847\/1934 - f. What is the common denominator of 150\/4*(-2)\/170 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:30 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 103, 2\/3, 2\/5, -3 in ascending order.\nAnswer: -3, 0, 2\/5, 2\/3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 3, 4, 2, 5, -90.\nAnswer: -104, -90, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28415?\nAnswer: 5, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let i be l(1). Let w(u) = -5*u - 2 + 1 - i + 2*u. Is 3 a factor of w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**3*q**2 + 38562319*h**3 + 2*h**2*q + 24030*q**2 - 299*q - 2 wrt h?\nAnswer: 30*q**2 + 231373914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1785 = 4*w + w, 0 = -l - 4*w + 420. Does 44 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2633499 is divided by 254?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2 - z + 48. Suppose -4*h = -y + 4 + 1, 0 = -h - 5*y + 25. Let o be v(h). What is the highest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2 + 123*k - 540 = 0.\nAnswer: -45, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/21464 or 1?\nAnswer: -13\/21464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 37. Let y = -22 + 13. Let j = y - g. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/84 - 22\/21. What is the third smallest value in 0, 0.3, p, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:48 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 172538+-310234915\nAnswer: -310062377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 + 315*f**3 + 1365*f**2 - 1675*f.\nAnswer: -5*f*(f - 67)*(f - 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 = 8*b + 37. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let z(j) = j**2 + j + 2. Let u(t) = 54*t**2 + 6*t + 12. Let y(l) = u(l) - 6*z(l). Determine y(v(a)).\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001617173 to 7 decimal places.\nAnswer: -0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-62)\/(-3) + (-1)\/2 and 1456\/141 + (957\/(-116) - 14\/8)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1113 + -13?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Suppose 0 = -87*w + 3397 + 2345. Suppose 100*a = 111*a - w. Calculate the remainder when a is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/120 - 3*d**5\/20 + d**4\/3 - d**3\/3 - 2921*d**2 - 2*d. What is y(7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 + 3*o. Let f(x) = -19*x**3 - 13*x**2 - 16*x - 5. What is -5*d(g) - f(g)?\nAnswer: 4*g**3 + 13*g**2 + g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 774.9652 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3 + 2. Put -5, 7, m in increasing order.\nAnswer: -5, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(t*t**(-2\/9)*t))\/t)\/t)\/t)\/t**1)**(18\/11) assuming t is positive.\nAnswer: t**(-86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 5*p - 188, 2*k - 3*p - 97 = 19. Suppose -2*w - k = 2*w. Let r = w + 18. Solve -1 = -r*l - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k*q**3 - 3566*k*q**2 - 203053*k*q + q**4 wrt q.\nAnswer: -18*k*q - 7132*k + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -133*m**2 + 1337*m - 102. What is w(10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/((-19515)\/228976)?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y**2 - 767*y - 61. Give h(64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*z**5 + 9*z**5 - 20*z**5 - 1 + 1 - 2*z**5 + (z**3 - z**3 + 2*z**3)*(-z**2 - 1 + 1) - 2*z**5 + 1 - 1 + 2*z**5 - 3*z**5 + 2*z**2 + 3*z**5.\nAnswer: -53*z**5 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/8)\/(2\/(-12)). Suppose 0 = -a + 37 - 25. Let m be ((-22)\/(-33))\/(2\/a). Sort b, m, 3 in increasing order.\nAnswer: b, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 149567, 149558, 149549, 149540, 149531?\n\"Answer: -9*l + 149576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.2, 2, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2272 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-3 - -3) - (78 - (-4 - 14) - -7)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, x: 2, s: 2, o: 7, p: 4}. Give prob of picking 1 p, 1 o, 1 v, and 1 x.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11496)\/12*(-1)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2. Let i(k) = -6*k**2 + 7*k. Let b(s) = 3*s**2 - 4*s. Let u(c) = -7*b(c) - 4*i(c). What is z(u(w))?\nAnswer: -45*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1251\nAnswer: 125.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 15 + 3 - ((0 + -7 - -3) + -38)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6503 and 209025.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/59462 + 2883869\/2259556. Find the common denominator of r and 37\/6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 121, 137, 155, 175, 197, 221, 247?\n\"Answer: h**2 + 13*h + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 296.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 + -996 + (1 - 1) + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 80 - 15*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 116\/25 (b) -4 (c) 0.033 (d) 5 (e) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3207457 (base 8) to base 5\nAnswer: 204341410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from qjbigijii?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0 + 0*z**7 + 1\/8*z**4 - 1\/336*z**8 + 0*z**5 + 0*z**3 + 0*z**6 + 0*z + 2*z**2. What is the second derivative of m(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:17 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (909\/(-202))\/((-5)\/(-20)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*i = -268, -i - 668 = -5*b + 2*i. Calculate the greatest common divisor of b and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 - ((-5)\/20 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*s - 75439, 0 = s - 86*i + 82*i - 15107. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -46. Suppose 10*u - 13*u + 5*r + 27 = 0, 8 = -u - 4*r. Calculate the remainder when l is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235074745 a multiple of 1321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*k + 8, -2*k + 5*p - 14 + 4 = 0. What is the first derivative of 3*l**2 + 0 + 9 + k + 15*l**3 + 0*l**2 wrt l?\nAnswer: 45*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.6 + 11. Let b = q - -0.6. Let x = b - -0.3. Is 1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1624, -2748, -3874, -5002, -6132, -7264, -8398?\n\"Answer: -c**2 - 1121*c - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14837 + 14888. Calculate the highest common factor of u and 1751.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155074207*m**4 + 196*m**2 + 46357*m - 9?\nAnswer: 3721780968*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*h - 742 = 185*h. Suppose -8*q + 4*q = -a - 6, -20 = -4*q. Calculate the greatest common divisor of h and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 18 = -8. Solve 3*g - g = b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -1. What is the second smallest value in -6, -0.02, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10419*o**3 + o**2 - 3*o - 390.\nAnswer: 62514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 36 = 16*u. Let o = 22 - u. Let v(c) = c - 4. What is v(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c**2 + 4*c**2 + 0*c**2 + (-2*c - 6*c + 5*c)*(2*c - c + 0*c))*(8*c - 8*c**2 - 8*c) as a*c**2 + s*c**3 + i*c + b*c**4 + q and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.44629 minutes to milliseconds.\nAnswer: 146777.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, 323, 2, 1.\nAnswer: -26, -4, 1, 2, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210571595 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.79503cm to micrometers.\nAnswer: 767950.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 21 + 16 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 0 - 3)*(-153 + 153 - 57*y) as t + j*y and give j.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, z: 4, g: 7}. What is prob of picking 3 g?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.44 + 6.16. Let m = -0.9 - n. What is m rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 - 5*t**2 + 5*t + 5. Let p(b) be the second derivative of -b**5\/20 - b**4\/12 + b**3\/6 + b**2\/2 + 201*b - 2. What is 3*f(n) - 15*p(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1630*r**2 - 111*r + 19. Is s(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9681.4002 to the nearest 100.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1969*q + 62827. Give a(-32).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:46 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82856 + -82851. Let i = 6 + -2. Suppose -i*r + 6 = -6. Solve r*h = p*n - 40, 3*h + 0*h - 3*n + 30 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21225\/42450)\/((-3)\/92*1\/3).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6.43257542807 - -9.1\nAnswer: 2.66742457193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p + 63. Suppose 2*f + 18 = 4. List the prime factors of g(f).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 - 13*v - 7. Let d be h(5). Suppose d*n - 2553 = -396. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**8\/672 - g**7\/84 + g**6\/30 - g**5\/30 + 911*g**2. Factor s(x).\nAnswer: x**2*(x - 2)**2*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -3*s**2\/2 + 30*s - 211. Let o be 10\/(-15) + 26\/3. Let l be f(o). Calculate the highest common divisor of 8 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 15. Let j(v) = 1. Let y(u) = -4*j(u) - o(u). Let c be y(-6). Solve -3*w - c = -2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9*m - 128 = 0. Let j = m - -10. Let b be (-3)\/6*j*(-2)\/30. Put -2, b, -1, 1 in increasing order.\nAnswer: -2, -1, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 - 2)*(0*i + 2*i + 0*i) + (3 + 0 - 4)*(-7*i + 86*i - 11*i))*(1 + 2*i**3 - 1) to the form k*i**3 + r*i**2 + n*i**4 + b + v*i and give n.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 77987, 261 in ascending order.\nAnswer: 1, 261, 77987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-4))\/(n\/((n**(9\/2)\/n)\/n)))\/(n**(-2\/9)\/n**(-3\/10)) assuming n is positive.\nAnswer: n**(289\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 5*d + d**2 - 2 + 2*d**2 + 3*d. Suppose 4*y + 3*o = -36, y - o - o = -9. What are the prime factors of p(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 3*t. Suppose -p + c - 3 = -1, -2*p = t*c - 12. Solve -p*a = 1 - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -1.05. Let v = -42 - -43. Let o(q) = -q**3 - 16*q**2 + q + 13. Let j be o(-16). Which is the closest to j? (a) v (b) h (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -370, -499, -644, -811?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62.29 from -0.2.\nAnswer: -62.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 16456.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from zzdzddzzdzdzzdh?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5)\/j**(2\/17)*(j*j*j**3)\/j*j\/j**2*j)**11 assuming j is positive.\nAnswer: j**(2882\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:41 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 16883, -12, 2\/7, 5, -0.02 in descending order.\nAnswer: 16883, 5, 2\/7, -0.02, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4 + 452*l**3 + 59316*l**2 + 1862240*l + 16974400 = 0 for l.\nAnswer: -206, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 24*x + 0 + 1\/8*x**4 + 0*x**3 - 2*x**2. Let b(r) = -43*r**2. Determine b(z(h)).\nAnswer: -387*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 - 1. Let z(r) = -2*r**3 - 16*r**2 - r + 4. Let p(b) = -4*i(b) + z(b). Let s be p(6). What is the units digit of s - (18\/30 - 1468\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {f: 1, s: 6, r: 2, u: 3, a: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(4\/3)*d*d**9 assuming d is positive.\nAnswer: d**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3626 (base 7) to base 6\nAnswer: 10115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 5\/1) + 1079. Suppose 0 = -13*v + j + 466. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.703759742 - -5.296240188. Let i = 24 + -17. Let s = i - m. What is s rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 1276*t**2 - 7 - 1284*t**2 in the form q*t**2 + l + f*t and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.2 - -23. Let x = m + 3.2. Sort -3, x, -1 in descending order.\nAnswer: x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2199 - 2232 = -0*x - x. Solve -3*t = -x*u + 34*u - 15, 3*t - 15 = 2*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -5*h - 5*b, h = -2*h + b + 325. Let c = -48 + h. Suppose c = 2*y - 41. Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1723*a**2 + 23*a - 46*a - 1600*a**2 + 23*a.\nAnswer: 123*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959.1947 months in decades?\nAnswer: 16.3266225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 974793 and 23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyyeccyyeeeyey. What is prob of picking 1 c and 1 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -2\/11, -46.9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11544 (base 6) to base 16\nAnswer: 6b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 40 = b. Calculate the lowest common multiple of 8 and b\/6*18\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**3 - g**2 + g + 4. Let u be h(3). Suppose -f - f - u = 2*r, -r - 59 = -f. Let x be (-4)\/(-6) + r\/(-6). Solve 10*m - 5*m = x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f**3 - 8*f**2 + 21*f + 4. Let q be r(5). What is the second smallest value in 1, q, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-4 + 2 - 1)*(30 - 5*r - 30)*(2*r + 1 - 1) - 3*r + 3*r**2 + 3*r + (3*r - 2*r + r)*(2*r - r - 3*r).\nAnswer: 59*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471641.5712 - -138.12.\nAnswer: 471779.6912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 > -0.085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 77 = 3*i, 0 = 5*i + 3*z - 7*z + 107. Let v = i - -41. Suppose 25 - 34 = 3*j. Sort 0, j, 4, v in decreasing order.\nAnswer: v, 4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -627, -1180, -1725, -2256, -2767, -3252, -3705, -4120?\n\"Answer: f**3 - 2*f**2 - 554*f - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(72) - ((sqrt(72) + 0)*-4 - sqrt(72)) - sqrt(72)) + 2 + sqrt(72) + 0 + sqrt(72))**2.\nAnswer: -84*sqrt(2) + 3529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 10, -5?\n\"Answer: -15*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = -308. Calculate the remainder when k is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35609665297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*h = -126*h - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**4 - 29*b**3 - 653*b**2 wrt b?\nAnswer: -168*b - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/53 (b) 1\/3 (c) -1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3250, -13046, -29374, -52234, -81626, -117550?\nAnswer: -160006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2563, 1287.3, -5?\nAnswer: 2563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express s - s - 5279*s**2 + 132959 - 132959 in the form q*s**2 + d + g*s and give q.\nAnswer: -5279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8)*b)\/(b\/(b*b**(-4\/11)*b)))**48*(((b\/(b**(3\/5)\/b)*b)\/b)**5)**(-17) assuming b is positive.\nAnswer: b**(-4669\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -48 + (-209245)\/(-7245) - (-2)\/63 - -19\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-726)\/696 + 10\/8. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/5, -34644, -0.7 in ascending order.\nAnswer: -34644, -0.7, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13997 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zddx when four letters picked without replacement from pxdnxdppxpppppdzppd?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*q - 5*m - 14, 3*q = -2*m - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let j(a) = a - 4. Let g be j(7). Solve 0 = -v - b + 6*b + 10, k = g*v - 4*b - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85033 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: What is -0.15604 less than 6785.03158?\nAnswer: 6785.18762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 13*i - 2. Let w(h) = h**2 + 12*h - 2. Calculate -5*d(q) + 6*w(q).\nAnswer: q**2 + 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5946 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1\/3, 2\/9, -25?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - -4 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -99*g + 11436. Calculate o(100).\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2313 (base 5) to base 9\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4. Suppose 0 = 4*i - 2*g - 18, 7*i - 21 = v*i + g. Sort -2, 2, i in decreasing order.\nAnswer: i, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -12*w + 191. Let c be b(5). Let o = -113 + c. Calculate the highest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j + 10. Let k be 1*2\/4*j. Which is the second biggest value? (a) 0.2 (b) k (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33181878259 - 0.0018\nAnswer: -33181878259.0018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 8*b + 4*b + 6*b. Is w(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 2 (c) -0.4 (d) -4 (e) 7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 296e5 (base 15) to base 2\nAnswer: 100000100001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oquqooquqi?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29337.91 centuries?\nAnswer: 35205492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a734 + -a?\nAnswer: -2a743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 897934 + -897896. Calculate the remainder when 3\/(0 - (-3)\/92) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**4 - 3*q**3 + 3*q + 4. Let l(h) = 9*h**4 - 5*h**3 + 5*h + 7. Let b(z) = -5*c(z) + 3*l(z). What is the first derivative of b(g) wrt g?\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**3 - 4*w**2 + 4*w**2)*(-21508*w - 21523*w + 43039*w - 1012) in the form l + t*w**3 + m*w**4 + h*w + o*w**2 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*b = 3, 2*b - 18 = -2*o + 4*o. Let u = 236 - o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose -2*p + 5*p = i. What is the derivative of -2*b**2 + 2*b**2 - 2*b**4 - p wrt b?\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 12:10 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + -9.2. Let n = y - -7. Put 1, 4\/3, n in descending order.\nAnswer: 4\/3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -79, -112, -141?\n\"Answer: 2*q**2 - 43*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 593, 590, 587, 584, 581, 578?\n\"Answer: -3*m + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 202*n - 3860. Calculate p(-50).\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2501666, 2501673, 2501680, 2501687, 2501694, 2501701?\nAnswer: 2501708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - 0.06. Let w = -2.05 + 0.25. Let c = -5.8 - w. What is the closest to j in c, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:42 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 318.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8 = 2*b, b + 0*z = 5*z - 22. Let r = b + 7. Suppose r*t = -154 + 574. What is the greatest common factor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1887108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (16 - 47 - 6) - -10.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492 and 1200?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2195080237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2*c. Let v(j) = 4*j**2 - 11*j + 1. Let w be -22 + 1 + 23 + -13. Give w*u(f) + 2*v(f).\nAnswer: -3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*z + 2)*(-4*z + 5*z - 2*z - 29) to g + y*z**2 + m*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1654 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqqmqqqqqqqqqq. Give prob of sequence qmo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**2 + 1059*l**3 - 1056*l**3 + 9*l - 3*l**4 + 7*l**2.\nAnswer: -3*l*(l - 3)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/1470*((-315)\/1134)\/((-6)\/(-36))\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -0.19 (c) -2 (d) 1.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 3*u**3 - 4*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 36 = 0. Suppose -6*y = -7*y + j. Is y less than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*y**4*z - 5*y**3*z - 2996*z with respect to y.\nAnswer: -156*y**3*z - 15*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) - (sqrt(104) - 3*(sqrt(104) + sqrt(104)*-3))) - sqrt(104) - 1*sqrt(104)*-2)\/(sqrt(648)*-2 + (sqrt(8) - sqrt(288))*2).\nAnswer: -2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.30648l?\nAnswer: 5306.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/2397511 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2347*v + 47840 = 3543*v for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3950 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 14, e: 1}. What is prob of picking 1 e and 2 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182043)\/15036 - 53\/(-4)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*d + 90466927, 7*u + 2*d - 90466942 = 3*u. Suppose u = -g + 3*g. Let b = g + -1708369. Round b to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -1\/5, -5, 92?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -41, 3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20*-2.27\nAnswer: -45.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 93 = -2*n, 114 = 4*n - n - u. Let z = -14 - -33. Suppose o - t - z = -o, 3*o - 5*t = n. Sort 4, o, -3 in decreasing order.\nAnswer: o, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 198 - (-3 + -6)\/(-3). Calculate the common denominator of -81\/8 and (26\/i)\/((-8)\/207).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -44*g**3 + 2*g**2 - 3*g - 3. Suppose -3*s - 2*r - 2 = -7, -r + 3 = s. List the prime factors of d(s).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, a: 6, j: 2}. Give prob of sequence jaja.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 151. Calculate v(14).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - (25 + -36) - 82?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*d - n, -2*n - 2*n = d - 13. Let w be (-1)\/(2\/(-4))*d. Suppose -2*i + 88 = w*i. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (80\/(-24) + 3)\/((-1)\/(-15)). Suppose -3*f = -6*f + 15. Sort f, -1, b in descending order.\nAnswer: f, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110208384 by -66231.\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 + -11?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/161448 and -5\/341.\nAnswer: 1775928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 - 114084*n**4 - 3876351*n**3 - 36589854*n**2 - 62006976*n - 29179392 = 0. What is n?\nAnswer: -37994, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 191.\nAnswer: -3, 4, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2487 is divided by 249?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*v + d - 2922, 0 = 4*v - 2*d - 2916. What is the least common multiple of 22 and v?\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -1\/2 (b) 6919.5 (c) 2\/9 (d) -2\/7 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8938.115 decades in millennia?\nAnswer: 89.38115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123667963 to the power of 1\/2, to the nearest integer?\nAnswer: 46083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u + 5 + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/86715 and -25\/156087.\nAnswer: 780435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 154. Let c = -677\/13 - p. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435567.\nAnswer: 2435567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/4)\/((w**(1\/9)*w)\/w))**(-1\/4) assuming w is positive.\nAnswer: w**(-41\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*h**5*o**2 - 1702*h**3*o**2 - 6*h*o**2 + 6*h*o + 122*h - 6*o**2 wrt h.\nAnswer: -2200*h**3*o**2 - 10212*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29932362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 183*m + 1274. Give y(-68).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 3*a + 1. Let l be u(3). Let p(d) = 4*d - 4. Let w = 7 + -5. Let v be p(w). Solve -v*r + 13 = q, 3*r = -r + q + l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6308, 25206, 56696, 100772, 157428, 226658, 308456?\nAnswer: 402816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -5, 0.3, -1\/3, -149.229 in descending order.\nAnswer: 6, 0.3, -1\/3, -1, -5, -149.229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence seer when four letters picked without replacement from {b: 3, w: 1, e: 2, r: 1, s: 4, h: 1}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 7297664?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4576 divided by 1?\nAnswer: 4576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 777*o - 784*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6134 and -8700350.\nAnswer: -8694216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*h + 19 = 0, -4*t - 5 = 8*h - 7*h. Which is the fourth smallest value? (a) 2\/17 (b) 1 (c) -2\/11 (d) t (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/23, 0, -2.23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -2\/9 (c) 176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 1, g: 3, u: 3, n: 2, b: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -582 + 577. Which is the fourth smallest value? (a) 6\/7 (b) -78 (c) -2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 332, -0.18, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 * 0.2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1768*q + 14. Let l(m) = m. Determine l(k(g)).\nAnswer: -1768*g + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 7480?\nAnswer: -2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m + 10. What is i(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 57742*l + 57740.\nAnswer: 2*(l - 28870)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 5*a - 5. Calculate k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 299*c**3 - 2*c**2 + 8*c - 49037 wrt c?\nAnswer: 897*c**2 - 4*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0. Let s = -4.2 + 5. Let j = s + -0.3. What is the nearest to 0 in n, -4\/3, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17229, 16747, 16265, 15783, 15301?\n\"Answer: -482*v + 17711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.0832 - -264.1942. Let f = z + -227. Let l = 0.11100025 - f. What is l rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 - 12 - 19 + 31.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-132)\/198)\/((-28)\/(-12)))\/(12\/14)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 1652?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276 divided by -2?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2. Let a(n) = 19*n**2 - 3. Let s(f) = 18*f**2 - 4. Let b(v) = -4*a(v) + 3*s(v). What is b(m(k))?\nAnswer: -1078*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 353 by 1.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 375280 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 56 = 9*c. Let p be (3\/(-6))\/((-1)\/(-2 + 8)). What is the second derivative of -p*t - c*t**4 - 2 + 17*t + 2 wrt t?\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a - 4. Let d(i) = -117*i - 51. Let j(s) = 2*d(s) - 27*x(s). Give j(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1) - (-2 + (-54)\/12)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -100002?\nAnswer: -33311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 202\/18 - (-14)\/63. Let g be 989\/3 + 6\/h. Suppose 2*k - 553 = -5*o, 0*o = 3*o + 4*k - g. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1916788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239 - 239.4. What is the third biggest value in o, -2\/11, -1\/45, 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 5*h**2 + 4*h - 2. Let f be n(-4). Let l = -78.8 - -78.7. Let b = 413\/1070 - -3\/214. What is the second smallest value in f, 0, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 9338*r - 79937.\nAnswer: -(r + 1859)*(5*r + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255854 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 5. Let b(h) = 3*h - 9. Suppose q - 11 = g - q, 23 = -4*g + q. Let v(c) = g*b(c) + 9*o(c). Let s(u) = -u**2 + 9*u**2 - 3*u**2. Give v(s(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, 0.09, -0.5, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6*3*1)\/((-271985)\/(-28630))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*d = -46, 29*l - 27*l + 2107 = -122*d - 69*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 11 = 3*l, -2*g - 2*g = -5*l + 35. Let n(s) = -s**2 + 3. Calculate n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -671?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5, 583?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7518, 28472, 62860, 110682, 171938, 246628?\nAnswer: 334752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 18*n**2 + 34*n - 219. Let o(m) = -44*m**2 - 84*m + 548. Let b(l) = -5*o(l) - 12*v(l). Suppose b(r) = 0. What is r?\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 6*j**2 + 4*j + 3. Let b be 13 + 8 - (1 - 0). Suppose 3*w = -w - b. Calculate the remainder when i(w) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586226.\nAnswer: 2, 19, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*j + 5*j + 92 = 0, -4*k + 2*j + 152 = 0. Calculate the highest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4 + 11324*f**3 - 11326*f**2 - 11324*f + 11325 = 0 for f.\nAnswer: -11325, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46981430 rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -555751, -555811, -555917, -556069, -556267?\nAnswer: -556511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25391 - 279298\/11. Let q(h) = h**2 - h. Let n be q(2). Which is the closest to -1\/4? (a) g (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -17*l + 4, 4*l = -4*x + 120. Is (1193 + 0)\/(13\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(6\/5))\/q**(3\/26) assuming q is positive.\nAnswer: q**(-41\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:42 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 - o + 1. Let h be b(1). Suppose -h*z - 173 = -600. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*o + 2068, 2*o - 809 = 4*d - 215. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 441\/4 + (4\/(-10))\/((-96)\/(-60)) and 5060.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -443, -681, -937, -1217, -1527, -1873?\nAnswer: -2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6214 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 128\/12)*54\/(-8) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b - 38*b - 2 - 23*b to t*b + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:31 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 702\/7?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, 33, 129, 315, 621?\n\"Answer: 5*s**3 + s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 1:14 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 338712 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153 and 510?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnncacnac. What is prob of picking 4 n?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 s when four letters picked without replacement from {l: 2, s: 2, r: 5}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 10. Let l(z) be the third derivative of z**4\/24 + 36*z**2. What is q(l(y))?\nAnswer: 2*y - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6528 (base 12) in base 6?\nAnswer: 123252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -258. Suppose -59 = 4*z - 4*r - 175, 0 = -3*z + 4*r + 90. Calculate the highest common factor of z and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197607 is divided by 197606.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 - 15. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -229, -244, -263, -286, -313, -344, -379?\n\"Answer: -2*p**2 - 9*p - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-6 - (3 + -2 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027*q + 4*q**2 - 1027*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -13 - (-7 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*p + 12. Suppose -5 = 4*s + 3. What is the units digit of (-32)\/(-10) - s\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 - 786*i**4 - 3852*i**3 + 786*i**2 + 3855*i = 0 for i.\nAnswer: -257, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, 935, -5, 4.\nAnswer: -5, 4, 187, 935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 35*g**2 - 14*g + 14. Let b = 22 + 49. Let t(i) = -b*i + 68*i + 3 + 6*i**2 + 4*i**2 - 3*i**2. Calculate -3*o(r) + 14*t(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1591546 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, a: 2, s: 4, y: 5, v: 1, e: 1}. What is prob of sequence eyvy?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 42504?\nAnswer: 42504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 5788.522?\nAnswer: 81039.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*d**3 - 284*d**3 + 549*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*1 + 2 - 2*sqrt(891)*1)**2.\nAnswer: -36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 10960*u**2 - 43900*u + 43920.\nAnswer: 5*(u - 2)**2*(u + 2196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 286090 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**3\/3 + 3*u. What is the smallest common multiple of k(-5) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829701.5 centuries to millennia.\nAnswer: 82970.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 3. Let l(b) = -b + 1. Let z(v) = -d(v) + 3*l(v). Let i(g) be the third derivative of g**5\/30 + 2*g**2. What is z(i(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmmmmgdri. Give prob of picking 2 m.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146024*v**2 - 26625*v?\nAnswer: -292048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -1 - -1 - -2. Suppose -8 = 6*t - u. Let f(q) = -46*q**3 - 3*q**2 - 3*q - 1. Is 9 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -45.1. Let x = -3 - -7. Let i = v - x. Sort 1, -0.1, i in increasing order.\nAnswer: -0.1, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 177886*j - 7910857249.\nAnswer: -(j - 88943)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 91*c + 1045. Determine z(-11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0462, -0.5, -5, -0.8 in decreasing order.\nAnswer: -0.0462, -0.5, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(88) - -1*sqrt(88)*4 - 5*-1*sqrt(88)))\/(4*-1*(sqrt(80)\/(sqrt(10) + sqrt(80)\/sqrt(8) + sqrt(10)) - sqrt(8))))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 17*c - 3. Let f be r(5). Let k = f + -86. Is (-170679)\/(-45) - k\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 4 (c) 1.8 (d) 0.13 (e) 1\/4 (f) -278 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:28 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.19257kg to tonnes.\nAnswer: 0.04819257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8597*b**5 - 2*b**4 - 146*b**3 + 19*b - 52206 wrt b.\nAnswer: -171940*b**3 - 24*b**2 - 876*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -22*c + 71. Let d be j(-4). Let h = d - 66. What are the prime factors of h?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9151280 minus 13127012?\nAnswer: -3975732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/4 + (-41)\/164\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 2*a**5 - 11 + (3*a**4 - 5*a**4 + a**4)*(3*a + 2*a - 2*a) + a**5 - 2 + 2 - 117*a**5 + 17*a**5 - 6*a**5 + (-1 + 1 - a**2)*(3*a**3 + a**3 - 2*a**3).\nAnswer: -112*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3874431, 7748853, 11623271, 15497685, 19372095, 23246501, 27120903?\n\"Answer: -2*m**2 + 3874428*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/6 + 7\/42. Suppose -5*m - 4*g + 128 = 0, 2*m + 5*g - 22 = 36. Let b be (-2)\/11 - m\/(-132). Which is bigger: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -p. Suppose 7*v = -3*o + p*v + 13, o = -3*v + 7. Solve -5*t = -3*i + 26, -13 = 5*t + 3*i + o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(sqrt(448) - (5 + sqrt(448))))**2 + (-2 + -4*sqrt(448))*-2 + 1.\nAnswer: 86 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 + 688*r**3 + 1482636*r**2\/5 + 590992*r + 1475762\/5.\nAnswer: 2*(r + 1)**2*(r + 859)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458242249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -71 (c) 937072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22602 (base 8) in base 14?\nAnswer: 36dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*f - 9, -3*v + 2 = -v + 4*f. Suppose v*i + 86 = q, -5*i - 72 + 441 = 4*q. Let b = q - -10. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 770416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = m + 45, -7*m + 12 = 4*r - 3*m. Let h = -128 + 128.1. Is r < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {d: 2, p: 2, k: 9, f: 5}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(12)*-4)\/sqrt(4) + (((sqrt(36)\/sqrt(3))**2 - sqrt(3)) + sqrt(3) - (sqrt(3) + 0)*2).\nAnswer: 12 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2318 and -37021437.\nAnswer: -37023755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8658 - 7719 = -687*k + 9042 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {b: 5, v: 2, l: 1, w: 2, o: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 8574 = 25426. Suppose 10 + f = 6*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/1 - (0 - (-4)\/(-1)). Let u be (-2 - (w - 3))*-27. What is the greatest common factor of 81 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1\/4, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58140003923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20740 * -0.7\nAnswer: -14518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t + 45*t = -5*t - 30*t - 2646 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/21*((-4)\/56)\/(24\/252).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:07 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 0, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -9. Let v = f + 0. Let x(a) = 5*a + 3. Give x(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3 + 7*p - p + p**3 + 8*p**2 + 0*p**2. Let a be m(-7). Solve -3*z + b - 3 = 1, -8 = -a*z + 4*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 59*o - 1. Let p(m) = -89*m + 1. Calculate 5*p(w) + 8*q(w).\nAnswer: 27*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.369 + -0.069. Let j = d + -3.300003. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-42)*2)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 238*z**5 - 4026*z**4 + 26098*z**3 - 79734*z**2 + 111184*z - 52320 = 0?\nAnswer: 109\/119, 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**3 + 21*f**2\/2 + 30*f - 35. Find n such that h(n) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(1\/4)*v)\/v)\/v)\/v**(-43)*(v\/(v*v*v*((v\/(v\/(v\/(v\/((v**(-26)\/v)\/v)))))\/v)\/v))**(-1\/7) assuming v is positive.\nAnswer: v**(155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1405))\/((2\/(-130))\/(((-5885)\/(-55))\/1391)).\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3)*(0 - 0). Let i(f) = -f**3 - f**2 + f + 13. Let p be i(j). Solve -5*s + 0*s + 4*z = -41, 0 = 5*s + 3*z - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -55.6. Put 4, s, 0 in ascending order.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -15. Let a = -34839 + 801294\/23. Sort d, -0.3, 1\/2, a in decreasing order.\nAnswer: 1\/2, a, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2956181.3831?\nAnswer: 2956177.3831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21421 + 3.61421. Sort -0.5, -9\/2, -1, p in ascending order.\nAnswer: -9\/2, -1, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -167, -248, -329?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3049*r**2 - 17182*r + 17182*r in the form j + x*r + b*r**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -234. Suppose y = -x + 5*x. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v - 20. Suppose v*b - 9 - 11 = 0. Suppose -2*u + 3*a = -13, 0 = -5*u + b*u + 2*a + 9. Which is bigger: -3\/4 or u?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 32*r - 30*r + 10 = 0, 2*q - 4*r - 20 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15090 - 3?\nAnswer: 15087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2709203706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-14.84.\nAnswer: 1.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 7782.\nAnswer: 7782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 33 + (19 + -9 - 7)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 + -37. What is the remainder when b is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3323*s - 3314*s - 153 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 9. Let g(k) = -3*k**3 - 128*k**2 + 6*k - 1148. Let l(v) = -6*c(v) - g(v). Differentiate l(d) with respect to d.\nAnswer: 9*d**2 + 256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from cuacyuccaciuuuxi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12663301 by 308861.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p + 28*p + 19*p - 7*p as j*p + n and give j.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.151019 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 7*v**2 + 4*v + 6. Let w be z(-3). Let i = 5 + -3. Solve w = d - i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**3 + n**2\/2 + 1. Let d(h) = 6*h**2 + h. Let x(z) = -4*d(z) + 7*y(z). Solve x(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407c (base 16) to base 15\nAnswer: -4d58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 15. Let b = -51 - -55. Suppose -u + 27 = -b*u. Give g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138213 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -13 (c) 0.61 (d) 179 (e) 4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*o**2*v**2 + 12*i*o**2 + 22*i*o + 2011*i*v**2 + 3*o**2*v - 2*o**2 + 8 wrt v?\nAnswer: 4*i*o**2*v + 4022*i*v + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) -2 (c) 14 (d) -1\/80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -637092 divided by 4164?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d - 4. Calculate the remainder when 54 is divided by x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71539 by -13.\nAnswer: -5503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 28. Suppose w + 3*w - 34 = -5*k, 3*w + 4*k - 26 = u. Suppose v = -y + 18, y = w*y + 4*v - 86. What is the remainder when 54 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 + 16.7. Let h = c - 9. Let n be 0\/3 + (-4)\/(-10). What is the smallest value in 1\/4, h, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/10)\/(b\/(b*(b*b**(-4\/5))\/b))*b\/((b**(-2\/27)*b*b)\/b)*b**(-2) assuming b is positive.\nAnswer: b**(-131\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 538200 and 209300?\nAnswer: 3767400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -16cdc2?\nAnswer: 16cdc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s - 13. Let l(r) = 18*r - 12. Give 6*i(q) - 7*l(q).\nAnswer: -66*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 628. Let s = x - 1097\/7. Which is the third smallest value? (a) s (b) -1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 2*k**5\/5 - 7*k**4\/8 + 11*k**2\/2 + 7*k. Let w(r) be the first derivative of s(r). Find the second derivative of w(o) wrt o.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377100 < 2377133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + -19 - -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -1739 - 349. Let w be (2\/4)\/(2\/g). Do w and 58 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4339, -5, -2, -17, 5 in decreasing order.\nAnswer: 4339, 5, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -20 and 3.8516955.\nAnswer: -16.1483045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 467\/319 - 24\/29. Let y = u - 13\/55. Suppose -y*a + 2\/5*a**2 - 4\/5 = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 30 = -5*y, -4*z - 5*y = -30. Let o be 12\/z*6\/18. Is o <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32919 or -32916?\nAnswer: -32916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*2)\/sqrt(4) + (sqrt(832)*1 + sqrt(832))**2.\nAnswer: 2*sqrt(13) + 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (38 + -4 + -25 - -20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 49 = 2*x + 4*y, 3*x = y + 129. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**5\/20 + v**4\/3 + v**3\/6 - v**2 - 60*v - 76. Let d(o) be the first derivative of y(o). What is d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 4*q + 0*q + (0*q - 4*q + 3*q)*(5 - 4 - 4) + 2*q - 2*q - 4*q + (-4*q + 4*q + q)*(-1 - 1 + 3).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8272 - 8269.8649. What is j rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -1b0?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 603019741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64548.\nAnswer: 2, 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2694*z**3 - 2513*z**3 + 16713*z**3 + 2695*z**3.\nAnswer: 19589*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oox when three letters picked without replacement from {x: 4, a: 4, v: 6, o: 5}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 117.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3940, 15955, 35958, 63949, 99928, 143895, 195850?\n\"Answer: 3994*h**2 + 33*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 - 164*z**2 - 14*z**2.\nAnswer: -167*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -s. Suppose 3*q - 18 + 6 = 0. Suppose r = q + 4. What is the lowest common multiple of s and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**3 - 27*s**3 + 9*s**3 + 93*s**2 + 91*s**2 + 146*s**2 - 327*s**2.\nAnswer: -42*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37864536197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 3*b**5\/20 + 17*b**4\/12 + 18*b**2 + 2*b - 2. What is the first derivative of g(j) wrt j?\nAnswer: 9*j**2 + 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 31*d**2 + 5*d - 153. Give x(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40052 (base 11) in base 7?\nAnswer: -332623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.62, -3\/4, 24, -1\/6 in increasing order.\nAnswer: -3\/4, -1\/6, 2.62, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 200\/(-85) - 2\/(-1). Let w = y + 86\/51. Is 1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27058, 54463, 81868, 109273, 136678, 164083?\n\"Answer: 27405*h - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13840*m**2*z**4 + 20310*m**2 + 504*m*z**4 + 7*m + 24 wrt z?\nAnswer: -55360*m**2*z**3 + 2016*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 - 83*a**4 + 900*a**3 - 3488*a**2 + 5728*a - 3408 = 0.\nAnswer: 2, 6, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(180\/(-36))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27610481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 132836, 132826, 132816?\n\"Answer: -10*j + 132846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15335025 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3 + 3)*(0 + 2*y**2 + 0) + 22937*y**2 - 5 + 1 - 41*y**3 - 22950*y**2.\nAnswer: -45*y**3 - 13*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8963*u = -7590*u - 1043*u + 4442*u + 131540 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*d - 4 = -2*d, -20 = -5*d. Let f = k + 11. Let u(b) = -b**2 + 8*b + 6. Let l be u(f). What is the smallest value in l, -2, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51753 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 + b**2)*(-3*b - 2*b**2 + 3*b) + b**4 + b**4 + b**4 - 4*b**4 + 4*b**4 - 2*b**4 + (2*b - 2 + 2)*(0*b**3 - 5*b**3 + 4*b**3).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-185)\/(-555))\/(1\/33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 9*f - 65. Let l(b) be the second derivative of 0*b**2 + 0 - 1\/10*b**3 + 1\/20*b**4 - 3*b - 1\/50*b**6 + 3\/100*b**f. Factor l(n).\nAnswer: -3*n*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(320) - (2 + sqrt(10)\/sqrt(2)))*-1)**2.\nAnswer: -252*sqrt(5) + 2241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((21\/(-525))\/(3\/5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7007 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - 6*3*sqrt(76)) + 3*sqrt(76)*-2)\/((-2*sqrt(48) - sqrt(48))\/sqrt(12) - sqrt(576)) + -4.\nAnswer: -4 + 23*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -143? (a) -0.22 (b) 1 (c) 0.4 (d) -0.5 (e) 7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -20. Suppose -1 = j*o - 3*m + m, 2*o = m - 1. Let x(d) = 41*d**2 + 1. What is the tens digit of x(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 464427 and 1.\nAnswer: 464428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -15. Suppose -7*q = -5*q - v. Suppose -4*z - 3*a + a + 30 = 0, z + q = 4*a. Solve 3 = -2*g - z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from {w: 2, e: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18629 by -1.\nAnswer: 18629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*d = 1, 0*d + 3 = -2*g + 5*d. List the prime factors of 2\/((-179)\/(-59) - (2 + g)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/5 - 94029*x**4\/5 + 188046*x**3\/5 = 0. Calculate x.\nAnswer: 0, 2, 31341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 26 = -5*j. Suppose 4*p + 2*s = 3*s + 119, j*s = -3*p + 113. Is p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -10211210202?\nAnswer: 10211210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7945*x + 24649*x + 27781*x.\nAnswer: 60375*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j**3 - 1\/240*j**6 + 0*j**5 + 11 + 0*j + 1\/48*j**4 + 4*j**2. Let d(t) be the second derivative of s(t). Factor d(v).\nAnswer: -v*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k**3 + 23*k**3 + 54*k**3.\nAnswer: 116*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*-14*9\/(-378)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -192353476*x**2*y + 39400*x**2 - y**4 + 2296 with respect to y.\nAnswer: -192353476*x**2 - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -892 - -892.3. What is the third biggest value in 1\/2, h, -2\/5, -32, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5952138 millilitres?\nAnswer: 0.0005952138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14760 divided by 615\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-s**2 + 3*s**2 - 4*s**2) + (-5 - 4*s + 5)*(2*s + s - 6*s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -177, -1323, -4413, -10419, -20313, -35067?\n\"Answer: -162*a**3 - 12*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 1}. Give prob of sequence bbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 21, 23?\n\"Answer: 2*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71987738 + 8323.1.\nAnswer: -71979414.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3820*s - 194346. What is z(51)?\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47\/2 - 23. Let k(t) = 2*t. Let f be k(-3). Let s = f - -3. Which is the third biggest value? (a) r (b) -2\/11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5\/5 + 76*w**4 + 8032*w**3\/5 - 46816*w**2\/5 + 15680*w - 8000 = 0. Calculate w.\nAnswer: -50, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 10111?\nAnswer: -10114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -13045 less than -13046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 875146304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 2*v**7\/105 + 2*v**6\/15 - 17*v**5\/15 - 4*v**4 + 24*v**3 + 1315*v**2. Determine m so that b(m) = 0.\nAnswer: -6, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 5*p - 2*y + 4*y, 275 = 5*p - 3*y. Let a be 8\/p + (-513)\/39. Let x(r) = -3*r - 12. Let i be x(a). What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (420\/(-175))\/(3\/(-10)). Let u(x) = -x**2 + 4*x + 2. Let p be u(4). Suppose p*z + y = 21. Solve -2*m - 4 = -5*h, -h - 7 - z = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33452, -34299, -35726, -37745, -40368?\n\"Answer: -2*r**3 - 278*r**2 + r - 33173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 81447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30974040199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 8 + 14. Let 1\/2 - o + 1\/2*o**b = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100830534 and 32424.\nAnswer: 8106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 + 3.1. Let p = 0.2 - -0.3. Let v = p - 0.5. Which is the third biggest value? (a) d (b) v (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = h - 76, 132 = 4*a - 3*h. Let x = -2334 - -2338. What is the greatest common divisor of a and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6888*c*v**2 + 11*c*v - 2620*v**2 + 5*v + 3 wrt c.\nAnswer: -6888*v**2 + 11*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 7\/(-2))\/(4\/(-8)). Let b(a) = a**3 + a**2 - 2*a + 2. Determine b(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (640*t - 241*t - 273*t)*(3*t + 0*t - 5*t - 3 + 2*t + 3 + (1 + 5 - 4)*(2*t + 2*t - 3*t) + 4*t + 0*t - 2*t + 3*t - 4*t - 2*t + 0 + 0 + t).\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -1. Let x(i) = 688*i + 31650. Let p be x(-46). Which is the fourth biggest value? (a) n (b) -1\/7 (c) p (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2486 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1845030 and -145\/67092.\nAnswer: 3690060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -7, 12, 53, 122, 225, 368?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*b. Suppose -t = 3*y + 14, -18 = b*t - t + 4*y. What is the tens digit of (-87)\/(-6)*(-4)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -5, -1.091, 2\/9, 1.1, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (5 - (2 + -8 + 4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 14*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*u - 26 + 26 as v + f*u and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-45*b**4 + 16*b**4 - 52*b**4) - 4*b**4 - 2*b**3 + 2*b**3.\nAnswer: 239*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*44*(-414)\/(-4140)*1*-10?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 - 5644?\nAnswer: -6053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87692 - 3?\nAnswer: 8768c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 9*o**2 + 8*o + 5. Let c be b(-8). Let q(i) = 2*i - 6. Let m be q(c). Solve 0 = -m*z - 5*y - 3, -z = -0*z + y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + (-2 - 2))\/(-2). Suppose h*s + 3 = -0*f + f, -s + 3 = f. Solve 3*n - 4*u - 32 = 0, n + f*u + 10 = -1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -s + 23. Suppose -3*m = -2*g - 4*m + 58, 0 = -5*m - s. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:29 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3234 = 5*j - 10*j, -5*f - 2582 = -4*j. Is j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (717\/956)\/((-12)\/80)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 21221120023123?\nAnswer: -21221120023122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -2973088?\nAnswer: 2973082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -12. Let i be (-168)\/(-20)*40\/(-12). Let f = 35 + i. What is the greatest common factor of n and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 29 = -w, -2*w - 26 = 3*f + f. Let d = 31 + f. Suppose -5*y + 5*j - j + d = 0, 37 = 4*y + 3*j. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4066*s**3 + 309*s?\nAnswer: -24396*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -359675, -719350, -1079025, -1438700, -1798375?\n\"Answer: -359675*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2320*g**2 - 3040*g**2 + 1371*g**2.\nAnswer: 651*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -42. Suppose 2*p = 5*p - i. Suppose 0 = -4*s + 5*s - 16. Calculate the least common multiple of p and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + 10. Let a = -15 + p. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3480200726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9010, 9022, 9034, 9046, 9058, 9070?\n\"Answer: 12*f + 8998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -492 in 5291, 1\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 76, 183, 342, 571, 888, 1311?\nAnswer: 1858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1753182910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 20 = 0, -5*z + 41 = -2*z - 5*r. Suppose q = -z*q + 24. Find the second derivative of -p + 10*p**q + 16*p**3 - 44*p**3 wrt p.\nAnswer: -108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n + 60. Let x(c) = -c + 9. What is the remainder when x(0) is divided by i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -4712?\nAnswer: 4728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 + 117. Suppose -d*h + 7 + 119 = 0. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 548*d**2 - 548*d**2)*(-7*d**2 + 12*d**2 - 106*d**2).\nAnswer: 303*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 3, -0.4, -12\/5, -1?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 less than 552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -26 + 10*v + 7*v + v**2 - 6*v. What are the prime factors of r(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 417235 or 6258538\/15?\nAnswer: 6258538\/15","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/91 and 57\/742.\nAnswer: 9646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -8a3?\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10098 divided by 594.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9315673303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 7. Let d = -155 + 152. Let i(a) = -4*a - 3. Let y(c) = -7*c - 5. Let p(s) = d*y(s) + r*i(s). Let h(t) = -t**2. Determine h(p(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = -x + 6*x + 2*t, x - 3*t - 43 = 0. Suppose -43*w + 47*w + 8 = 0. Let v = w + 24. What is the greatest common factor of x and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10497032.\nAnswer: 2, 7, 13, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 605*w**3 + 545490*w**2 + 120185580*w - 1257009800.\nAnswer: 5*(w - 10)*(11*w + 5014)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 3157 + 3175 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = 3*p, -11*p + 5*u + 10 = -9*p. Which is the closest to 2? (a) 7 (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.2 - 15.9. Let i = u - 0.3. Let k = -0.1 - 0.9. Which is bigger: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2)\/g)*g*g)\/((g\/(g*(g*g*g*g*g*g\/g**3)\/g))\/g)*(g*(g\/((g*g**12)\/g)*g)\/g)**(-27) assuming g is positive.\nAnswer: g**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 166*i + 3. Is t(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-2) - (-9)\/(-6). Let p = -674212 - -674212. Factor -3\/7*v + 1\/7*v**w + p + 2\/7*v**2.\nAnswer: v*(v - 1)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 6. Let q be k(4). Suppose -3*t = 4*p - 929, -2*p = -7*p - t + 1153. Suppose -2*w = -q*w - 20, -p = -4*y + 2*w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(684) + sqrt(684) + -4 - sqrt(684))**2*5.\nAnswer: 480*sqrt(19) + 13757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from {l: 7, o: 1, v: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 73*v - 5. Let a(l) = l + 4. Give -2*a(i) - 2*o(i).\nAnswer: -148*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/15)*f)**(-3\/11))**29 assuming f is positive.\nAnswer: f**(-812\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7 = -3. Let n(u) = -u**3 + 6*u + 5*u**2 + 8 + u - 2*u. Let j be n(6). Solve 0*s = k*s + j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50742, -203000, -456776, -812070?\n\"Answer: -50759*r**2 + 19*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*r - 29, -3*j - 5*r + 4261 = 4220 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3728 (b) 0.3 (c) 0.4 (d) 5 (e) 7 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l + 313*l**4 + 645*l**4 - 4028*l**4 + 7*l + 2*l**4 - 2*l**4 - 2*l**4 + (4*l**4 - 4*l**4 + l**4)*(3 + 0 - 2).\nAnswer: -3071*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 3. Suppose 0 = 19*s - s. Solve -6 = 2*d, i + 3*i + d + j = s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577a7 (base 11) to base 16.\nAnswer: 1461e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + v - 1. Let m be k(-2). Let p(w) = -8*w + 1. Let f(t) = -7*t + 2. Let i(n) = -6*f(n) + 5*p(n). Calculate i(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23317 by -3599.\nAnswer: 23317\/3599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.022 + 19.742. Let r = v - -0.28. Which is smaller: r or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (0 + 8 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 227.1059 millilitres?\nAnswer: 0.2271059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43550, -43159, -42772, -42389, -42010?\nAnswer: -41635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 1 i when three letters picked without replacement from {i: 1, f: 1, j: 5, c: 1, x: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2550.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a millennium in years?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -1\/3*v**3 - 10*v**2 + 0*v - 1\/60*v**5 + 7\/12*v**4 + 0. What are the prime factors of u(12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*o + 1)*(-155*o - 207*o - 1846*o) to the form l*o + z + m*o**2 and give m.\nAnswer: 4416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 12:44 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 334320 + -12?\nAnswer: 334304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.5 and 2067033709.83?\nAnswer: 2067033712.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 47. Let u be ((-4)\/i)\/(22\/14). Which is the closest to -1? (a) u (b) 3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986411?\nAnswer: 986411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 - 2*r + 4. Let b = -10 + 7. Determine w(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4 + 2*q**4 + 2 + (1 - 2 + 0)*(17*q - 17*q + 4*q**4) - 2*q**4 - 2*q**4 + 5*q**4.\nAnswer: -q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 1134.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 673748263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10374 and 5061.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -6\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/125)\/(-7)*(-45)\/27?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-four fifths of a minute?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.69056 + 102\nAnswer: 103.69056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0 + 5 = 0. Suppose -4*s + 3 = -2*h + s, s - 5 = -4*h. Let z(c) = -2*c. Let x(d) = d. What is h*x(l) + w*z(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - z + 3. Let h(n) = -6*n**2 - 14*n + 31. Let u(a) = -4*a**2 - 9*a + 20. Let f(k) = 5*h(k) - 8*u(k). Give 5*f(l) + 8*t(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 + 41\/(82\/12). Suppose -z = z - 4. What is the greatest common factor of f and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 1, h: 5, p: 3, e: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/16 - 6)*(-11 - -54).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwkwwwww. What is prob of picking 1 m and 3 w?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -371*c**4 - 113*c wrt c.\nAnswer: -4452*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 + -13)\/(1\/11). Let a = d + 11. Suppose a*u**2 - 1\/2*u**4 + u - u**3 + 1\/2 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311820 by -40.\nAnswer: -15591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 45 = 6*n. Let y(d) = 2*d - 50. Let o be y(n). Let a = 21 - o. What are the prime factors of a?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99334\/9 - -11037. Sort 2\/3, 5, i, 1, 0.4 in decreasing order.\nAnswer: 5, 1, 2\/3, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53\/11 in -2\/3, -0.147, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5 (c) -100.5 (d) -60 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1088, 2728, 4948, 7766, 11200?\n\"Answer: 3*s**3 + 272*s**2 + 803*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14583322?\nAnswer: 2, 13, 560897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -2246?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 87\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 840853514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19335671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/7 - 1487*p\/7 + 1486\/7.\nAnswer: (p - 1486)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(-2*sqrt(9)) + sqrt(44) - (-2*sqrt(264))\/sqrt(6))\/((sqrt(4) + sqrt(12)\/sqrt(3))*2*-2))**2.\nAnswer: 275\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8686202a - 1?\nAnswer: -86862030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:17 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 19?\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891089 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76406 and 5346.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaaccsascaaasss. What is prob of sequence sk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 39517498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 2*x**2 - 4*x + 2*x. Let k(s) = 10*s**2. What is k(a(t))?\nAnswer: 40*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from xdxxxsxxxmxxmxxdxxm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -1\/24*m**3 + 0*m**2 + 0 + 0*m**4 - 3*m + 1\/80*m**5. Factor h(a).\nAnswer: a*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = -4*q, 0 = 3*q + 4*z - z - 24. Let g(s) = -5*s**2 - 1 + s**q - 5 + 5 + 3*s. What is the least common multiple of 4 and g(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2827757 and 1414938.44?\nAnswer: 4242695.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-61))\/((-50)\/(-35)*(-588)\/336).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 3) + -1 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (96\/36)\/(-4*(-3)\/11970)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -403 (b) 6\/13 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -6 - (-1 - (-1 - -14))) + 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 first derivative of 2*i**2*q - 380*i**2 + i + 295*q**3 wrt q?\nAnswer: 2*i**2 + 885*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889 is divided by 472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**5 + 6740*q**4 + 135872*q**3 + 898960*q**2 + 2181376*q + 1745920 = 0.\nAnswer: -8, -2, 1705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117762805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873594400 divided by -2428.\nAnswer: 359800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (920\/64)\/(-5)*-8. Factor -u*x - 24*x - 64*x**2 + 2 - 58*x + 46*x**2 + 16.\nAnswer: -3*(x + 6)*(6*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 48. Let a = -33 - -47. What is the remainder when t(a) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 1504?\nAnswer: 79712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74493736 divided by -4.\nAnswer: 18623434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.3, 2.02, 3, -1\/9, 3.98?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by 10.\nAnswer: -189\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 662384?\nAnswer: -662371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = 0, -n + 16 = -4*g + 9*g. Let x(u) = u**3 - 10*u**2 + 18*u + 26. List the prime factors of x(n).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 + 1537\/9. Put p, -4, -1 in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490315 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4 + 4*h**2 - 3*h**2 + 7*h - 7 - 4*h. Let b(u) = u - 1. Give -6*b(t) + 2*w(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 176 = 6*a. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 16 = 0, -6*w + 88 = -2*w - 5*o. Suppose -3*y = -w + 65. List the prime factors of -1 + y\/(-4) + 36.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.49 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (67*-1)\/(27\/18 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 230 - (-2 - ((8 + -8)\/(-8))\/5). What is the highest common factor of 9889 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34998101.\nAnswer: 31, 71, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5125*c - 133049 + 466174 = 0 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 232 + -363. What is z rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-36) - 11\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3886*a + 3881*a - 19 = -3*f, -20 = -2*f - 4*a for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73444171 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**19*x)\/x**(-9))\/(x**0\/x**(1\/16)) assuming x is positive.\nAnswer: x**(481\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2475907 and 19003.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000141552 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - (-33)\/36)*-14)\/(28\/(-12)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9116567804 + -6?\nAnswer: 9116567798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 44. Let p(w) = 18*w**2. Determine u(p(j)).\nAnswer: -36*j**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3943 - -4357. Calculate the remainder when j is divided by 105.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3103 - 3098. Which is the nearest to 3\/7? (a) -0.6 (b) -3 (c) o (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 + 3*k - 3. Suppose 0*h - d - 3 = -2*h, 0 = 3*h + 3*d. Determine g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -9 + (-1 - -6). Suppose 2*i - w - 1 = 0. Suppose b = -i*b. Solve -6 = 3*n - b*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6148575 and 450?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*a + 444, -a + 2*u = -0*u - 111. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*a, q + 0*q - 88 = 3*a. Let j = q + -92. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10202121 (base 3) to base 14\nAnswer: -ddd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77368 or -77370?\nAnswer: -77368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {j: 4, i: 1, c: 1, r: 5, o: 9}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022000 (base 3) to base 15.\nAnswer: ddc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from azmamimcazziaia?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 a factor of 13123046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/9 - 1)*3. Let y(v) = v - 6. Let o be y(4). Let d be (r + o + 81)*1. What is the highest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + 104832?\nAnswer: 104852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, y: 1, x: 2, c: 2, p: 1}. Give prob of sequence xxzz.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = b - 8, -2*f + 0*f = -4. Find the third derivative of 13*y**5 + 10*y**5 - 31*y**5 - b*y**2 + 28*y**5 wrt y.\nAnswer: 1200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 9094 - 466 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210 - 108. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epee when four letters picked without replacement from bboeepboeepeboooope?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let u = -2.64 - -0.64. Which is the closest to o? (a) 2 (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1445126925 and 11341.\nAnswer: 11341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 2:22 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*s = 3, 38*b = 36*b - 3*s + 6. Let t(u) = -18*u**2 + 9*u + 2. Let h(o) = -17*o**2 + 8*o + 1. Let z(m) = -6*h(m) + 5*t(m). Is 6 a factor of z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 560390?\nAnswer: 2801950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -150677.253 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five quarters of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/54 and -47\/184118.\nAnswer: 4971186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 168522, 168519, 168516, 168513, 168510?\n\"Answer: -3*u + 168525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 18 = -18 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53220 - -1511504?\nAnswer: 2005124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 21 + 18 - 36 + 21*t - 8.\nAnswer: 21*t + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/48693 or -1?\nAnswer: 2\/48693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 21*x = -14*x + 6*d - 2*d - 54, 10*x = -3*d - 497 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(2 - 10*v - 2).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 47*t**2 - 142*t + 63. Calculate the remainder when g(20) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 6:00 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2120637336 to 5 decimal places.\nAnswer: 0.21206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let t(o) = 8*o**2 + 10*o + 10. Calculate t(w) - 10*u(w).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080848089 to 3 decimal places.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*b = -2, 0*a + 2 = a + 2*b. Suppose 0*n + n - 20 = a. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, p: 1, n: 1, o: 1}. What is prob of sequence np?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000114183992 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {u: 1, b: 1, y: 1, j: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26110856383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.03, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70327*k**3 - 140621*k**3 + 70320*k**3.\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 9) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8. Solve 3*k + 0*k - 15 = o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3*-2498\nAnswer: 8243.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 + -7228?\nAnswer: -7254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 46. Let d be 81\/3 - m\/(-3). Suppose 22*i + 276 = d*i. What are the prime factors of i?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 4. Let b(t) = t + 2. Let u(x) = 9*b(x) + 4*h(x). What is the units digit of u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 73656170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -37. Calculate the greatest common factor of 329 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/5 of a minute?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47008864*g**3 - 370637*g**2 + 10?\nAnswer: -282053184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 1)*(-2*w**2 + 3*w**2 + w**2) + 11*w**2 - 8*w**2 + 7*w**2)*(-2*w - w + 2*w) to z*w**2 + d + o*w**3 + n*w and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -4259?\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 108?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64097061 and 2331.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t. Let v(u) = -24*u**2 - 21*u**2 + 46*u**2. What is y(v(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9) + (-134)\/(-6). Suppose -17 - i = 5*a. Let d be (-12)\/a*8\/(-6). What is the nearest to 0 in -2\/5, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (15 - (8 + -5))) + (0 - 2 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -174.83, -103\/3, 0.5, 4?\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 46?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yairiia. What is prob of sequence ai?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -321 + 320.8788. Round w to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.1 - -31. Let u = 0.6 + -0.3. Which is the third smallest value? (a) 0 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613247 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49024759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*c**4 - 5512*c**3 + 52*c**2 - 2379?\nAnswer: -2688*c - 33072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.16 - -15.7. Let q = g + 3.36. Which is the biggest value? (a) -1\/5 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.7 - 15.5. Let m = -850\/63 + 124\/9. Let q = 2 + -2. Which is the smallest value? (a) q (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.94 - 0.06. Let p = q + 1. What is the nearest to 1 in -4, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3113, 7\/3, 1, 0.1.\nAnswer: -3113, 0.1, 1, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045199 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 19*f - 12. Let c be ((-921)\/(-15) - 9\/(-15)) + 1. Let d = c - 61. Let p be o(d). What is the highest common factor of 26 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -25. Suppose 11*y + 28 = 6*y + p*v, -y + v = 6. Which is the closest to 1? (a) 0.35 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o - 1. Suppose 0 = 4*w + 2*x + 23 + 47, 2*x - 82 = 4*w. What is the tens digit of s(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17\/(-18))\/(-17))\/((-1)\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*c - 5*q + 1012, -q = 5*c - 2553. What is the highest common divisor of c and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.88651 litres?\nAnswer: 75886.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 208, 662, 1410, 2446, 3764, 5358?\n\"Answer: -l**3 + 153*l**2 + 2*l + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 5. Let t(i) = 3*i + 10. Let a(h) = -2*l(h) - t(h). Let v(g) = -2*g - 108. What is v(a(k))?\nAnswer: 2*k - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 19. Let p = 136 - 145. Give r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*y**2 + 5*y**2 - 27*y**2)*(2*y - 4*y - 7*y).\nAnswer: 1116*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.267 - -1.467. Which is the closest to 4? (a) d (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*(-8)\/64)\/((-2)\/72). Suppose -3*q - n = -6*q. Solve 0*p - 6 = -q*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 24. Let j be n(8). Suppose j = -l - 3*x - 0*x + 41, 0 = l - 5*x - 41. What is the remainder when l is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.2206 hours in seconds?\nAnswer: 2470394.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 117*n**2 + 3*n + 2. What is the remainder when y(-1) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64717, 64714, 64709, 64702?\nAnswer: 64693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 11*z**2 + 23*z - 24. Let j be c(-13). Solve -16*a + 4*f + 24 = -15*a, -5*a - f + j = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 2. Suppose 3*n + 4*u - 12 = 3*u, 0 = -3*n - 2*u + 9. Let l be t(n). Suppose -2*y + 4 = -l. Solve 2 = 4*k + y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 - 1 - 5*i**2 + 24*i**2.\nAnswer: 32*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppph. What is prob of sequence php?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28812 by 835.\nAnswer: 28812\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*j, 2*j = -i + 12*j + j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 10*j - 5. Calculate the common denominator of 113\/10 and n(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 0.1 (c) 3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.753 + -0.531. What is m rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 - 118. Is 1\/3 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*l - 21*l + 7*l**2)*(3*l + 2*l - l)*(-4*l**2 + 4*l**2 + 3*l**2).\nAnswer: 84*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 10*u**2 + 81*u - 708. What is the hundreds digit of k(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2. Let q(v) = -134*v - 2. Calculate g(q(k)).\nAnswer: 53868*k**2 + 1608*k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.5. Let x be (-4205)\/116 + (-1)\/(-4). Let k be x\/(-27) + 46\/(-30). Sort 1, t, 0, k.\nAnswer: k, 0, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -227*t + 302. Let o be w(1). Is 80 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183873 plus 7?\nAnswer: 183880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(4 + 2 + -2*sqrt(1573)))**2.\nAnswer: -968*sqrt(13) + 25289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*s = -33, 0 = 16*n + 4*s - 28092662 + 28092566 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/178824 and 157\/60?\nAnswer: 894120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2889717 - -1.\nAnswer: -2889716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t + 2. Let b(l) = -l + 1. Let c(r) = -5*b(r) - v(r). Determine c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -340?\nAnswer: 33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 10*u - 6. Let b be o(-10). Let v be b + 2 - 1*-7. Solve 3*s + v*i - 4 = i, -4*i = -4*s + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (220 - 23 + 149 + 50)*(0 + 0 - 4*t**2)*(t**2 - t**2 + 2*t**2) to h*t**4 + b*t + l + p*t**3 + i*t**2 and give h.\nAnswer: -3168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1440756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2295 = -26*x + 9*x. Does 10 divide (4 - x\/(-1))*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016308836.\nAnswer: 2, 3, 31, 401, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 9 = -6. What is the units digit of (-1)\/j*6\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -12 + 2*g + 3*g + 2. Suppose -5*z + 20 = h, -3*z = -5*z + 2*h + 8. Let i be m(z). Solve 3*r - t - i = 0, -4*r + 0*t = -5*t - 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91330393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/120 - r**5\/15 + r**3\/6 + 2*r**2. Let m = 4 + -10. Let h(d) = d + 4. Let o be h(m). Give q(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*b**2 + 477*b - 501*b - 1 - 11*b**2 to the form a*b + h + i*b**2 and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 5\/(15\/9). Suppose 3*f - 15 + 9 = j. Is f\/(-6) - (-642)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54441, -106912, -159367, -211800, -264205, -316576?\nAnswer: -368907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 397, 395, 393, 391?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77, 95, 113, 131, 149?\n\"Answer: 18*r + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1786495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-836)\/(-14) - 2\/(-7). Let i be c\/(-117) - 4\/(-6). Let v = -1831 - -1829. What is the closest to i in 0, v, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 - 2*f**4 - f**3 - 4*f + f + 0 as r*f + i*f**3 + s + m*f**2 + a*f**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 724116511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5606755 by -1121351.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*b, 5*z + 13*b = 12*b + 3581152. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/((-2)\/((-24)\/2)). Suppose -60 = -6*l + x. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 36. Suppose -p*m = -25*m - 12. Is (10\/m)\/(12\/(-1608)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 65*z - 1274. What is the tens digit of m(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28853107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4294 and 18080.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 37650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -5)\/((-2)\/4). Let r(t) be the third derivative of 5\/24*t**4 - t**2 + 0*t - 1\/60*t**5 + 0 + 0*t**3. Let f(a) = -a**2 + 4*a. Give z*r(w) - 5*f(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(15)\/sqrt(3) + -5)*6)**2.\nAnswer: -1080*sqrt(5) + 3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4514106598632 - 0.25?\nAnswer: -0.7014106598632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1216*z - 6086. Calculate t(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 2.812702?\nAnswer: -5.812702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(700)*-2)**2 + 4) - 5*(-4 + sqrt(700)*-1)**2.\nAnswer: -9188 - 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*t + 0 + 1 = 0, -t - 16 = -4*x. Solve -x*f - 5*j = -5, 4*f + 33 = 5*j + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*l = -442*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 134400 (base 7) to base 14\nAnswer: 9470","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*a + 4 = 0, -9*g = -7*g - 2*a - 22. What is the least common multiple of g and 86?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*r**2 + 13*r**2 - 23*r**2)*(125 - 125 + r) + 3*r**2 - 3*r**2 - 1 - r**3.\nAnswer: 4*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7765640882?\nAnswer: 2, 37, 677, 155009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v + 4. Let k(r) = r. Let c(j) = -j**3 + 4*j**2 + j - 9. Let b be c(4). What is b*k(m) - y(m)?\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = 25. Suppose 0*p = p - b. What is the greatest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.8. Suppose -3 - 1 = -4*r. Let o be (-4)\/10*r\/2. Are o and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1612 - -0.131. Let k = q + 0.03. What is k rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387076387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1230 (base 4) to base 10\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + (-14 - -9) - (0 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27060 is divided by 1230.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 + 308*w**2\/5 - 139264*w\/5 + 2145536.\nAnswer: (w - 136)**2*(w + 580)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + b5?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 909 and 5959.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677, -671, -665, -659?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1762, 0.3, -21?\nAnswer: 1762","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14\/140 + 2\/(-45)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*a - 7283 = 0, 0 = -4*t - 2*a - 15919 + 45029. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*o + 6, -q + 4*o = -4*q + 46. Suppose -d + b + 8 = q, -d = -5*b + 10. Solve -2 + d = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*a = -3666, -5*a = -14*h + 9*h + 3675. What are the prime factors of h?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = -z - 3*z, -3*f - 3*z = -21. Let a(i) = -i**3 - i**2 - 3*i - 1. Let y be a(-2). Factor -3*k**3 + 0*k**4 - k**4 + 12*k - y*k - k**f + 1 + k**2.\nAnswer: -(k - 1)*(k + 1)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/4 + 3\/6. Let i(n) = 62 + 6*n**2 + 0*n**2 - 7*n**2 + 64 - 8*n - 135. Determine i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*u - 2 = 0, -19*u - 1 = 2*z - 18*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = 12. Suppose -3*b = 2*y - 37 - 16, s*b = -4*y + 100. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -6.275\nAnswer: -18.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-7)\/(-42)) + 67. Let y = 356 - m. Is y a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3026 and 148274.\nAnswer: 148274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23239 + 11629 + 4*k + 11728 + (-4 - 1 + 1)*(-5*k + k + 3*k) + 0 - 2*k + 0 to b*k + d and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1031102013 (base 4) to base 10.\nAnswer: 316551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h, 0 = y - 0*y - h + 1146. Let u be (-4)\/6 + y\/(-18). Calculate the greatest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -3409654.\nAnswer: 85\/3409654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2547.692 millennia?\nAnswer: 30572304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139658?\nAnswer: 2, 641, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -7 - 20. Let q be 4 + 2 - (-2 - -3). Suppose q*m - 57 = 13. Calculate the remainder when n is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17332 and -3.54?\nAnswer: 61355.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(64))\/(sqrt(5) + -6*sqrt(55)\/sqrt(11)).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*q**3 - 19*n*q**2 - n*q - 19*n + q**3 - 910*q**2 - 185*q - 6 wrt q?\nAnswer: 12*n*q - 38*n + 6*q - 1820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from ttyvyvvvv.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3040*o**3 - 16671355*o**2 - 66761500*o - 109760 = 0.\nAnswer: -4, -1\/608, 5488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -u + 16. Let q(d) = -13*d - u*d - 15 - 9*d + 3*d. What are the prime factors of q(-10)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -2*v + 3\/2*v**2 + 0*v**4 + 0 + 0*v**3 - 1\/20*v**5. Differentiate x(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**2 + 9*a**2 - 10873*a + 10872*a. Let r(t) = -t**2. What is r(b(g))?\nAnswer: -256*g**4 + 32*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*i + 2*i. Let q be (11 - i)\/(0 + 1). Let h(o) = -5*o - 46. Let x be h(-20). Calculate the greatest common factor of x and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890307254 to the nearest integer?\nAnswer: 29838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + -2.45.\nAnswer: -2.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.04664 - 16\nAnswer: -16.04664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/6*((-75)\/125)\/((-4)\/(-10))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 8:00 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2)*z*z**5)\/(z**(1\/6)*z*z*z*z\/(z*z\/(z*((z*z**4*z*z)\/z*z)\/z*z)*z*z*z)) assuming z is positive.\nAnswer: z**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -10 - (0 + 6 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7 = -222. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.44 and 9687.\nAnswer: -362681.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 4*p + 11, -y + 33 = -6*y + 2*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6548.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99907500439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u**2 + 35*u**2 + 93 - 116*u**2 + 42*u**2.\nAnswer: 2*u**2 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 431?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259 + -251. Let k(g) = s - 4*g - 3*g - 4 + 5*g. What is k(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 0*u + 2*u + 0*u + 6 - 3*u + 1. What is x(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 7*p**4\/4 - p**3 - 24*p**2 + 103. What is the second derivative of r(a) wrt a?\nAnswer: 42*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:12 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -181450895*w. Let c(j) = 2*j**2. Calculate c(s(b)).\nAnswer: 65848854592602050*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 + 531*w**2 + 101*w + 118. Determine n(-106).\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6748 (base 13) in base 2?\nAnswer: -11100001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 19*o + 2388. Let h = 1935 - o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 3:04 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 + 185*d - 474. Let k be p(58). Solve 4*m = 172 - k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -622.9 and 22?\nAnswer: -13703.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 5*h, -4*i - 8 = h - 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/12 - s**3\/2 - 3*s + 58. Let c(t) = -t**2 + 4*t. Calculate 2*c(q) + 3*x(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert b4b (base 12) to base 7.\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323.757mm in centimeters?\nAnswer: 432.3757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*l**2*m - 429*d**2*l*m**2 + 4*d*l**2*m**2 - 3*d*l + 4*l**2*m**2 wrt d?\nAnswer: -2*l**2*m - 858*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, -2, 8266\/7 in increasing order.\nAnswer: -17, -3, -2, 8266\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1637*f - 1 - 1470*f + 3.\nAnswer: -3107*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 26380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 109. Calculate u(20).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 - 4*k**2 + 0*k**2 + (2 - 1 + 1)*(-3*k**2 + 2*k**2 - k**2))*(17 + 13 - 39 - 8*k) as p*k**2 + h*k**3 + v*k + m and give p.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**3 - 137*t + 3575*t - 1456*t + 281*t**2 + 4815*t + 81*t**2 wrt t?\nAnswer: -30*t + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12598 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 35*q**2 - 48*q + 11. What is r(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 3 - (-2 - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/3208737 and 31\/171?\nAnswer: 182898009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10300000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 17 (b) 0.04 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11068610 and 280.\nAnswer: 44274440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99, -185, -319, -525, -827, -1249?\n\"Answer: -4*m**3 - 58*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 (base 15) in base 12?\nAnswer: 3b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 2. Let y be l(1). Suppose -5*k + 30 = -y*k. Suppose -3*b = -k*b - p + 30, 5*b - 61 = 2*p. What is the remainder when 41 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845.348 centimeters in kilometers?\nAnswer: 0.00845348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 42807748*q + 42807752.\nAnswer: -4*(q - 1)*(q + 10701938)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8631.559 nanometers?\nAnswer: 0.0008631559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -22*c**2 - 3. Let f(l) = -605*l**2. What is o(f(m))?\nAnswer: -8052550*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 - 14?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(175) + sqrt(175) + ((-4*sqrt(175)*1 + sqrt(175) - sqrt(175) - sqrt(175)) + sqrt(175) - sqrt(175)))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.92 - -36.1. Let o = u - 10. What is o rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - a = 7, 2*x + 24821 = 2*a + 24815 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 426 + 33?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let i(p) = 12*p**3 - 6*p - 5. Let n(y) = i(y) - 5*k(y). Determine n(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9690 (base 15) to base 10.\nAnswer: 639360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12 and 65\/76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + g**2 + g + 33. Suppose 3*f - 7*f = 0. Does 15 divide r(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -246*s + 7. Let p be f(2). Let t be -496 + 2 - (-152)\/(7 + 12). Which is bigger: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + (-1 - -2))*5\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:08 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1428a8 (base 16) to base 5\nAnswer: -314234003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 441270 smaller than 441273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23638 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -114 + 50?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42064270.\nAnswer: 2, 5, 4206427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 369, 370, 369, 366, 361, 354?\n\"Answer: -i**2 + 4*i + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 7*u - 28 = -3*u, -4*x - 5*u = 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001658163 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 4*i - 21*i**3 - i**4 + 35*i**3 - 12*i**3 as c*i**4 + a + p*i**2 + q*i**3 + d*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188715 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 20*r**2 + 16*r. Suppose -n + 10 = j, 5*n + 2*j - 25 - 19 = 0. Let a(q) = -4*q**3 + 60*q**2 - 48*q. Let s(o) = n*i(o) + 3*a(o). Solve s(z) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Let r(d) = -4. Let y(f) = 4*k(f) + 2*r(f). Let x = -1380 + 1386. Let i(q) = q + 1. Calculate x*i(b) + y(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -51, 2, -10, -12 in ascending order.\nAnswer: -51, -12, -10, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 5514 (c) 4 (d) -627\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -199215871 or -199215872?\nAnswer: -199215871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -19*q + 147. Give m(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140403719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 29.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183947 is divided by 325?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:01 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 19 = 3*l. Suppose 3*n - 3 = -18, l*m - 5*n = 27. Is m > -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + 14 - ((21 - (10 + 20)) + -51)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80, 118, 158, 200, 244?\n\"Answer: h**2 + 35*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*v**3 - 26*v**3 - 22*v**3 + 12*v**3 - 4*v.\nAnswer: 2*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4221 is divided by 843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 121 (c) 28\/9 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(490)*-1*5*6)\/((sqrt(2695)*-2 + sqrt(55))\/(sqrt(11) + -2*2*sqrt(11))))**2.\nAnswer: 794476\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296 - -839. What is the second derivative of 543*v**2 - 27*v - w*v**2 - 44*v**5 wrt v?\nAnswer: -880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 132*j**3 + 12*j**2 - 16*j + 209. Is x(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/3 - 10039*v\/3 + 469624\/3 = 0. What is v?\nAnswer: 47, 9992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -2\/7, -2 in descending order.\nAnswer: 2\/17, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25480 and 8840.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28183 - 28180. Put -780, -0.2, 2, k, 5 in decreasing order.\nAnswer: 5, k, 2, -0.2, -780","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*d - 322, 843 = -6*c + c - 3*d. Let p = -160 - c. Let t = 0 + 18. What is the smallest common multiple of p and t?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus 0.69?\nAnswer: -19.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13194 and 1454272.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83868384 to the nearest integer?\nAnswer: 9158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -11 in ascending order.\nAnswer: -11, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.224, -0.08, 1.5, 5, -4 in ascending order.\nAnswer: -4, -0.224, -0.08, 0, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104076664 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l + 9 = 5*p, -l - 9 = -4*p. What is the remainder when 28 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -47. Suppose -17*s + 900 = -r*s. Suppose -190 = -5*i + s. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3575086 times -0.03?\nAnswer: 107252.58","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (1 + (-1 - -5))*(-27)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -7, 5\/107, -5, -2\/3?\nAnswer: 5\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15\/(-3))\/(3\/(-63))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j + 19*j - 176 = -4*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.27 and 7\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*o**2 + o**2 + 27*o**2 in the form p*o**2 + s + k*o and give p.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (732\/(-84) - -9)\/((-130)\/35)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 519886 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l - 3023*l**2 + 10*l**4 + 1009*l**2 - 2 + 1007*l**2 + 1008*l**2 to the form d*l + h*l**4 + m*l**3 + y + x*l**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose u + 3 = 4*h, -u - 1 = 4*h - 7*h. Find the second derivative of g*j - 2*j + h*j - j**2 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -48, -4, -11, 1, -1 in descending order.\nAnswer: 48, 1, -1, -4, -11, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 3*d**2 - 3*d**2)*(6 + 7 - 2).\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*3\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.0428 + 38. Let c = -10.8172 + x. Let k = c + -1.24. Round k to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 4. Let a be (36\/8)\/(6\/y). Let p(o) = o**2 - 21. Let m be p(5). Solve 0 = -2*t + r + a, m*t + r + 1 - 7 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 42*j = -1431. Calculate the remainder when j is divided by ((-6)\/(-9))\/(4\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*a + 1, 2010 = a + t + 2018. Let j = 13 + -9. Let d be 5\/20 - 1\/j. Is d at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102984 and -3?\nAnswer: -308952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:05 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 h when four letters picked without replacement from hhshrrrsshrhshz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*w + 9, -6*w - 2*g = -w - 19. Suppose 0*m - m + 1 = 0. Let o = m - w. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.189 times -0.9\nAnswer: -0.1701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*b - 1137*b - 294*b - 3.\nAnswer: -1304*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*j + 416 = 387, -4*i - 13 = 5*j for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77.76 - 79. Let t = x + 1.249. What is t rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 0*o**4 + 2*o + 0 + 9\/20*o**5 - 5\/3*o**3 + 0*o**2. What is the second derivative of y(d) wrt d?\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 - 3 = 0, 16 = 4*d - 4*r. Suppose 4*v - 73 + 8 = 3*q, 2*v - 34 = d*q. What is the remainder when 14 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -121*r**7\/21 + 80*r**3 - 197*r + 1. Find the second derivative of q(v) wrt v.\nAnswer: -4840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(100))\/sqrt(2)*2.\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*v**2 + 244*v**2 - 2*v + 245*v**2.\nAnswer: -11*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (80 + -70 - 333\/30)*(-72)\/99\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7373\/(-584))\/101*2\/8.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*v**5 - 28*p*v**2 - 44*p*v wrt v?\nAnswer: 40*p*v**3 - 56*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-10)*33800\/(-24336)*(-18)\/(-4)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2)*6)\/sqrt(9).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*6)\/((sqrt(36) + sqrt(4))*-2).\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.7 - 22. What is the nearest to 0.3 in -5, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3827242+-1\nAnswer: 3827241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 41.3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/5, -7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -46, -56?\n\"Answer: -10*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/11804 and 5\/52.\nAnswer: 11804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1\/1*314. Let g = -1323 - c. Let f = g + 1848. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1718 = -2*b, -32*i = -3*b - 37*i + 2558. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6)*(-3 + 1). Suppose -2*q = c - 5. Find the third derivative of -26*x**2 + 25*x**2 + 3*x**4 - q*x**4 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2202795 and -49\/2252745?\nAnswer: 993460545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyl when three letters picked without replacement from lzzzfbfzyyzzf?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziuw when four letters picked without replacement from {g: 1, z: 4, i: 3, w: 1, a: 3, u: 5}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times 0.3898?\nAnswer: -14.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 775?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 1. Suppose d + 0*d - 4*t + 22 = 0, -5*t = -25. What is p(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 6, t: 4, z: 4, h: 1}. Give prob of sequence yz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 329 and 1659.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 7. Let m be k(-5). Let n(i) = i**2 - 5*i + 12. Let v be n(m). Suppose -2*a + v = -0*a. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Let n = 3 + a. Let g(w) = 3*w - 4 + n. Let z(v) = 2*v**2. What is z(g(c))?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 249540 times 167?\nAnswer: 41673180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - x**2 - 1 + 13*x**2 + x**2 to r*x**2 + z + t*x and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - i)*(-43*i**2 + 38*i**2 - 24*i**2) + i**3 - i**3 - i**3.\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-28)\/15 - (-12)\/(-18). Put 1.4, -1, v in decreasing order.\nAnswer: 1.4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -0.01, -3\/8, -12, -0.306 in increasing order.\nAnswer: -12, -3\/8, -0.306, -0.01, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*p**3 + 80*p**3 + 15*p**3 + 231*p**3.\nAnswer: 371*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -60.64 and -0.05257200562?\nAnswer: 60.58742799438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/24882 + 172223\/52202436. What is the common denominator of m and 137\/12?\nAnswer: 12588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -8 - 6) + 0 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*y**2 - 259875*l**3*y + 205*l**3 + 66*l**2*y**2 - 101612*l**2*y wrt l.\nAnswer: 6*y**2 - 1559250*y + 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 721, -115, -1515, -3479, -6007?\nAnswer: -9099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/4 - (-342)\/24?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/17, 1\/18, 0.02, -3, -0.1.\nAnswer: -3, -2\/17, -0.1, 0.02, 1\/18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*p**4 + 8*p - 2*p - 26*p**4 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - a + 6, -267*k + 7 = -263*k + 3*a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/11 - 12*x**2\/11 + 74*x\/11 - 60\/11.\nAnswer: -2*(x - 3)*(x - 1)*(x + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 32. Suppose 2*w = w + 3*k - n, 5*w + 2*k - 13 = 0. What is the highest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4 - 2*u + 0*u - 4. Let g(x) = -3*x - 3. Calculate g(o(h)).\nAnswer: 6*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-2))\/((-4)\/(-8)). Let c = k - 2. Let z be 90 + -97 + (-1 + 3 - (-7 + 0)). Solve -c*s = -z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*o = -48, 5*o + 39 = 3*t - 0*o. Suppose -5*h + t = -2. Differentiate 1 + 2*q**4 + h - 2 with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 8*s**2 + 3. Let n be p(8). Suppose n*w - 3*w = -2*w. Let c = 0.1 - 0.3. Put w, c, -2\/3 in decreasing order.\nAnswer: w, c, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -425523, -425297, -425071, -424845?\n\"Answer: 226*z - 425749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*(43 - 4))\/1. Let y = -15 - n. Let b = y - 19. Solve -r + 6 = -f + 2, b = 3*r + 4*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + 1477. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2792 - -2955. Calculate the remainder when p is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/11 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29498 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 44 = -3*r + 4*k, 5*k + 15 = r. Calculate the smallest common multiple of ((-6)\/7)\/(4\/(-84)) and r\/3 - (-6)\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 3*t + 2. Suppose 3*z = -5 - 1. Let k be 1\/((z\/(-8))\/(-1)). Let h be q(k). Calculate the highest common factor of h and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111322 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -2*i - 4*w, -3*i = 5*w + 26. Let b = 60\/77 + -7\/11. What is the closest to -2\/3 in b, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331123 divided by -13?\nAnswer: 25471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgpg when four letters picked without replacement from pppppgpg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -24*f + 3726. Calculate q(153).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 7*p = 11*p + 1430. Calculate the highest common factor of 364 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.867 - -11.617. Which is bigger: 2\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148416788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -30?\nAnswer: -11\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2816*d**2 + 64679*d + 2051. What is b(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6637700 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5184 = 438. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 3*b - 2. Let t be f(-4). Suppose 26 = 4*g - t*s, 5*s + 17 = 3*g - 20. Find the second derivative of m**5 - m - g*m + 3*m wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 102 = -22*u. Let z = u - 49. Solve 13 = -5*y - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 76, 66, 52, 34, 12, -14?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 0*v**2 + v**2 + 5*v**3 - v**3 as n + c*v + y*v**3 + f*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 - 0 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.3, -3 in increasing order.\nAnswer: -3, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(90*z**2 - 11*z**2 + 59*z**2).\nAnswer: 414*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.78 to zero dps.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 5.459.\nAnswer: -0.5459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y + 66300 = -721*y for y.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 3*k, -7*k + 8 = b - 2*k. Let y = 11 + b. Let s = 1 - y. Put 1\/2, 0.2, s in descending order.\nAnswer: 1\/2, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55424795 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 11, u: 3, a: 1}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 435*o + 3047. Calculate y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 9. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m - 20. Let s(p) = 9*p + 23. Let f(l) = 7*n(l) + 6*s(l). What is f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*l = 8, -2*b + 398 = 3*l + 405 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Suppose 66 = p*c - 9. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.4 times 0.16?\nAnswer: -7.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1477163346 to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 755937570 to the nearest 1000000.\nAnswer: 756000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -4661.47 + 4641. Let i = 0.53 - q. Let z = -21.95 + i. What is z rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + -5 + -48 + (277 - 277)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*(-123)\/738?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + o - 255 = -223, -o - 16 = -3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s + 68*s - 30598 = 1007*s - 83204 for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5, 0.1, 0, 10489 in descending order.\nAnswer: 10489, 5, 0.5, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 259 and -611341.\nAnswer: -158337319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/7 - 344*l\/7 - 13542\/7 = 0.\nAnswer: -111, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-489)\/(-9) - (4 + (-55)\/15). What is the common denominator of 46\/33 and 190\/m + 1 - 2?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(17) + sqrt(272) + sqrt(272)*2 + (-1 + sqrt(272) - sqrt(17)) + -4*(2*(sqrt(119) + sqrt(119)*-3))\/sqrt(7).\nAnswer: 4 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59ba (base 12) to base 5.\nAnswer: 310303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p - 15. Let n = p - -17. Suppose -10 = -0*c - n*c. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1591957 divided by 5\nAnswer: -1591957\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/88 + 1\/22. Let p = -0.08 - 0.22. Sort -3, p, n in decreasing order.\nAnswer: n, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 5*v + 4*v + v. Let h(y) = -y. Determine k(h(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 1379.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26404559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 663829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*2*(-4)\/(-14). Suppose 5*d - 84 = -34. Let x be v\/(-20) + (-6)\/d. What is the third biggest value in -2\/5, 1\/11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39485840.\nAnswer: 2, 5, 493573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*j**3 + 106*f*j + 36*j**3 - 2*j**2 wrt j.\nAnswer: -12*f + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 5. Let j(m) = m + 3. Let q(l) = 11*j(l) + 6*z(l). What is the units digit of q(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116613 by 21.\nAnswer: 5553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 1, j: 3, s: 6}. What is prob of sequence os?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219360357 or -219360356?\nAnswer: -219360357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5983, -11993, -18025, -24073, -30131, -36193, -42253, -48305?\n\"Answer: s**3 - 17*s**2 - 5966*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100198675.\nAnswer: 5, 293, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - 0 - (4 + (-17 - -28) + -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -663.5 - -664.5. Which is the nearest to q? (a) -2\/15 (b) -0.9 (c) 1\/497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3542 - -4331. Is b at most 788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -437*r + 2. Let j be h(-2). Suppose 2*q = -266 + j. Suppose -q = -m - 0*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-186)\/12)\/(1\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 66*r. Let j(k) be the second derivative of k**4\/3 - 4*k - 61. What is z(j(c))?\nAnswer: 264*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 19*c + 27. Let x be o(6). What is the second derivative of 26*v + 44*v + 160*v**2 - x*v**2 wrt v?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 775, 1599, 2637, 3889, 5355?\nAnswer: 7035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 7 = 2*y. Let t = 57 + y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by (-31)\/(210\/(-300) + 1\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/121461 and -39\/80974.\nAnswer: 242922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5776325 is divided by 601.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from {b: 2, i: 4, t: 10}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11000100001 (base 2) to base 4\nAnswer: -120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2287 + 458. Let w = -880 - l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 3*j**2\/2 - 2*j - 12. Let n be s(-2). Let a(x) = -x**3 - 7*x**2 + 9*x + 9. Give a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11915414 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -6*sqrt(57)\/sqrt(3)*-4)*3 - -4*(-2 + (sqrt(19) - (-2*sqrt(171) + sqrt(171))))*1)**2.\nAnswer: 1232*sqrt(19) + 147185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -44. Solve 2*g + 5*x + u = 0, 6 = -2*g + 5*g - 4*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.24, -0.2, -3, 10 in increasing order.\nAnswer: -3, -2, -0.24, -0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7924*a**2 - 24051*a wrt a?\nAnswer: 15848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 26*l + 3*n = 6, l - 5*n = -6 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -32976, -0.3, -0.5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2*x**2 + 2*x + 6. Let v(i) = 5*i + 2. What is 6*s(w) - 5*v(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 2099*a - 175044. What is u(87)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641363242.\nAnswer: 2, 13, 24667817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -309*y - 89922. Calculate d(-291).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n = -15*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 28*l - 23*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 - 3 - g**3 + 1 - 2*g + 0*g**4 - 3*g**3 as p + m*g**4 + l*g + i*g**2 + x*g**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-4 - -27) + -45 - -47)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/40 - 4*y**5\/15 + 17*y**4\/24 + 25*y**3\/6 + 6*y**2 - 14. Give m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -3\/10*x**5 - 1\/10*x**6 + 0*x**2 + 0*x**3 + 0*x**4 - 2*x + 1\/14*x**7 + 0. Suppose w(j) = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/14, 2\/3, 37\/5, -2 in ascending order.\nAnswer: -5, -2, -1\/14, 2\/3, 37\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0 (c) 2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50894.02*0.3.\nAnswer: -15268.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 88441842, 88441845, 88441848?\n\"Answer: 3*l + 88441839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 220774 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29176 - -53207. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1397452 and 1597088?\nAnswer: 11179616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(sqrt(1375)*-1 + sqrt(1375)))\/(sqrt(5) + 5*sqrt(320) - sqrt(60)\/(sqrt(12) + (sqrt(12)*-3 - sqrt(12)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - 2.9. Let r = 3.8 - -1.2. Which is the third smallest value? (a) r (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = l + 5*l. Let g(b) = -b**3 - b**2 + 10*b + 12. What is the tens digit of g(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -478*m + 475*m + 58710. What is m rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 64*r**2 + 1. Is f(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvpuoourouuuvupouo. Give prob of sequence ro.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 131609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 40\/(-22)) + (-116200)\/(-220). Suppose m = 3*b - 3*g, 0 = -b + g - 2*g + 182. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Let z(d) = 2893*d + 3. Give z(x(w)).\nAnswer: 2893*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -1717, -4585, -8595?\nAnswer: -13747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 226. Let n = 1762\/9 - h. Which is the fourth smallest value? (a) -5 (b) 0.03 (c) n (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11238663.72 and 5899.\nAnswer: -11232764.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 1\/5, 3, -3, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -216, 14, -2\/37, -1.1, 0.4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -159, 25, -2, 880 in increasing order.\nAnswer: -159, -2, 25, 880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48853, -195404, -439655, -781606?\n\"Answer: -48850*l**2 - l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:34 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/7 - 6019*z**4\/7 + 949698*z**3\/7 - 38434880*z**2\/7 + 37491200*z\/7 = 0.\nAnswer: 0, 1, 80, 5858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p**41\/p)))\/p**25*(p**(-1\/2))**(-7\/2) assuming p is positive.\nAnswer: p**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/10)\/((-2)\/(-5)). Let b = -132.2682 - -0.1682. Let w = b + 132. What is the smallest value in w, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.4, -1, 9\/11, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65.7 - 69.7. Put b, 1\/7, -21 in descending order.\nAnswer: 1\/7, b, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/87213 and 67\/37377.\nAnswer: 261639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + z)*(0 + 0 + 2)*(2 + 0 + 4).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 - 7 = -2*y, 3*y - 2*j = 11. Suppose -5 + 13 = 4*m. Suppose -17 = -5*h - 7, -24 = -5*v - m*h. Sort -3, v, y in increasing order.\nAnswer: -3, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2122)\/(-105039) + 20784\/297?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4546 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 29?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:45 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -5\/2 (c) 742 (d) 125 (e) 8 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0247500342 to six decimal places.\nAnswer: 0.02475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 22860*t - 2647242.\nAnswer: -2*(t - 11313)*(t - 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-16))\/(2\/4). Let n = -0.7 + -2.8. Let o = -0.5 + n. Which is the second biggest value? (a) o (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602 (base 11) in base 4?\nAnswer: 1021301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + 6 + (-1 - -9). Find the third derivative of 31*n**4 - 23*n**2 + 4*n - 4*n - 66*n**r wrt n.\nAnswer: -840*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/7, -1, -3\/7355, 0.3 in descending order.\nAnswer: 4, 0.3, 1\/7, -3\/7355, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2)*-328 + -2. Suppose v + q = 3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b - 28. Let a(t) = t - 1. Let q(d) = 8*d - 12. Let v(s) = 5*a(s) - q(s). Let o(p) = -2*m(p) - 9*v(p). Let i be o(5). Which is greater: -1\/2 or i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840164 is divided by 160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1055 - 919. Calculate the smallest common multiple of f and 612.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002395855 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/771 and -38\/309?\nAnswer: 79413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1232998 and 17546510?\nAnswer: 228104630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*2\/(8\/15). Let y be (-84)\/(-5)*t\/(-9). Let b be ((-9)\/(-6))\/((-6)\/y). What is the greatest common divisor of b and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6782 + -2209.8?\nAnswer: 4572.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35642 and 164154?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dccwcfgnwcfw. Give prob of picking 1 g, 1 f, 1 n, and 1 d.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = 40*r - 31*r - 2*p, 0 = 5*r - 4*p + 98 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 1\/5 (b) 83\/331 (c) 1\/21 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(66\/33*30\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)*1708\/(-6). Calculate the common denominator of -23\/5 and (s\/(-35))\/(2*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 61.7.\nAnswer: 56.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a week in minutes?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15639 - 5061816.\nAnswer: -5046177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8326*i**2 - 66782*i**2 - 12479*i**2.\nAnswer: -70935*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/44 and -23\/2112.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -27*k - 11. Let v(h) = 7*h + 3. Let r(b) = 22*v(b) + 6*z(b). Let y(s) = -7*s. Give r(y(w)).\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -43*d**2 - 1715*d + 185. Determine y(-40).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s - h = 13, -3*s = -3*h + 42. Let r be ((1 - -2) + -2)\/((-9)\/s). Is -1\/95 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v, i - 173 + 130 = 5*v. Is i greater than or equal to 642\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (5 + (-280)\/49))*12\/(-30). Suppose -6*m = -2*m + 12. What is the nearest to -3 in m, -0.3, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {q: 2, r: 1, e: 3, n: 10}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*r + 2877 = 2628 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101.093 + 101. Let u = m - -2.073. Round u to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -186 - (0 - 2). Let r = -77 - -188. Let m = h - r. Calculate the remainder when m is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/8*-1 - 99\/(-33)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5877254.\nAnswer: 2, 2938627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 3 + -17 - (2 - -13) - -1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/7, 3\/2, -3, 0.5, 2891 in descending order.\nAnswer: 2891, 4, 3\/2, 0.5, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46864 - 27964. Does 35 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let y = -8.5 + 8. Which is the second biggest value? (a) y (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 5 = -a. What is the second biggest value in -0.9, -3, a?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + -5*(-183)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792210, 792211, 792212, 792213, 792214?\nAnswer: 792215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from dvoof.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -250, 2, -1, -20, 3.\nAnswer: -250, -20, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:07 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 2*(sqrt(77) + sqrt(77) + sqrt(77)*-2))\/(sqrt(539)*1) - ((1 + (sqrt(7) + 0 - sqrt(7)) + 3)**2 - (1 + sqrt(567))**2*1).\nAnswer: 127*sqrt(7)\/7 + 552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1749918 to the nearest one thousand.\nAnswer: 1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 1. Let z(i) = -4*i**2 - 9*i - 17. Let w(o) = -3*v(o) - z(o). Let h be w(-7). Which is the smallest value? (a) -0.5 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-5)*376\/(57152\/(-1140))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*c + 163 - 217 = 0, u = -5*c - 27 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1886 * 65.11\nAnswer: -122797.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.881764 nanograms?\nAnswer: 0.000000002881764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4 = -2*g, 6 = -3*n + 5*g - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621891632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 101*g**2 - 1835*g + 7361. Give w(-29).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/12)\/((-20)\/(-12)). Let i = 4 - 7. Which is the nearest to h? (a) -5 (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17145153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 2250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {z: 2, p: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-175))\/((-2)\/(-42)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-1 - -6))*3\/(-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 40*s**4 + 6*s**3 - 34*s - 6. Let h(w) = 41*w**4 + 5*w**3 - 34*w - 5. Let l(n) = 6*h(n) - 5*r(n). What is the second derivative of l(v) wrt v?\nAnswer: 552*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - -28. Let b = 26 - z. Let v = b - -28. Solve -3*y - 2*o = -4*y + 8, -5*y + v = -3*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*k**2 + 97*k - 1?\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/48 and (-13 - 9835\/(-756))*50\/4?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72180, 72181, 72182, 72183?\nAnswer: 72184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2417*d**2 - 1434*d**2 - 1110*d**2.\nAnswer: -127*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**3 - 12*j**2 + 3*j + 9. Is c(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-4)\/6)\/((-360)\/324))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m - 22. Let w be ((-9)\/27 - -2)*7\/((-35)\/(-6)). Give z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -14829\nAnswer: 22\/4943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-500)\/(-180) + (-2)\/(-9). Let g be y\/(-45)*36\/6. What is the third biggest value in -41, g, 1\/3?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7216 and 54.2.\nAnswer: 53.4784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 205736*y - 16265626.\nAnswer: 2*(y - 102947)*(y + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7843421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -17, 1.\nAnswer: -17, -3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -390.601419 to 1 decimal place.\nAnswer: -390.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 11. Calculate n(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.9 - 5.5. Let v = 3.2 - o. Which is smaller: v or 14?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let a = 0.049 + 0.251. Sort -1\/4, l, a.\nAnswer: l, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(300\/9))\/(15\/(-100)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -98. Suppose -y = 2*y - k. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135787 by 135787.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + o + (o + 0 + 0)*(0 + 2 + 0))*(-1 - 4 + 4)*(o**4 - 3*o**2 + 3*o**2).\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/(-36) + -2*(-9)\/(-216). Sort d, -12, 9, -4 in ascending order.\nAnswer: -12, -4, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*b)*((15*b - 36*b - 20*b)*(-25*b - 42 + 42)*(-1 + 2 + 0) + 3*b**2 + 0*b**2 - 2*b**2)*(-2*b**2 - 3*b**2 + 4*b**2).\nAnswer: -2052*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g - 27*g - 2*g**2. Let p(k) = -3*k. What is p(i(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3727\/7 + -540. Calculate the common denominator of 2\/9*(99\/(-63) + 5) and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36018304 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13.6541 - -0.54\nAnswer: 14.1941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-2 + sqrt(192) - sqrt(192)) + sqrt(60)\/sqrt(5)*-4)\/((sqrt(576) + -2*sqrt(576) - sqrt(576))*-5).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42620, -170848, -384698, -684170?\n\"Answer: -42811*n**2 + 205*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 121*q + 262. Let d be m(10). Suppose -r + 32*b + d = 36*b, 2*b - 2968 = -2*r. What are the prime factors of r?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*t**3 - 118 - 119*t**3 - 6.\nAnswer: 4*t**3 - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + 12*x + 3. Let l be b(4). Suppose -3*c + 11 = -q, 2*q + 3*q = l*c - 19. Solve c*d + 0*d - 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - v + 14*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607230 divided by 39.\nAnswer: 15570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/10 - 37*q**2 - 1454*q\/5 - 2172\/5.\nAnswer: -(q + 2)*(q + 6)*(q + 362)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -65. Let q be 4 + 4 + (-5 - 0\/m). Solve 21 = q*t - 5*r, r - 2 + 1 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -561706, 7.\nAnswer: -561706, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -35 (c) 0.4 (d) -5 (e) 0.3 (f) 1951.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -136141261*r**3 + 72099393 wrt r?\nAnswer: -408423783*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 924*d**4 + 26*d**3 + 176*d**2 + 31564146.\nAnswer: 3696*d**3 + 78*d**2 + 352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 4914 - -1) + (-294)\/(-98)?\nAnswer: 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207*v**2 - 2916*v**2 - 92*v**2.\nAnswer: -4215*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -43*k**2. Let x(o) = -13524153*o**2. Determine x(r(p)).\nAnswer: -25006158897*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30099.4 * -0.1.\nAnswer: 3009.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 23*w**2 - 4*w - 76. Give l(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5\/4 - 493*m**4\/2 - 117735*m**3\/4 - 114025*m**2 - 26959*m + 170664 = 0.\nAnswer: -104, -3, -2, 1, 1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107478927 and 2297?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1011*b = 5229 + 10947 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91675354*p**4 + 2*p**2 + 12419483*p - 4?\nAnswer: 2200208496*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*3*(0 + sqrt(128)) + 0 - (4 + sqrt(128)*-2 - (0 + sqrt(128) + -1))*-2) + -2)**2.\nAnswer: 1152*sqrt(2) + 10432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f. Let a(k) = -5837 + 5837 - 21*k**2. Calculate a(u(h)).\nAnswer: -1029*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 47533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7210*5.\nAnswer: 36050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13888 and 36239.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -t + 4*c, 2*t - 80 = 3*c + 7. Let q = -39 + t. Suppose g = -q + 21. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181859 is divided by 3367?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Let p be u(-1). Let j(i) = -5 + 6*i**2 - 3*i**3 - 5*i - 4*i**2 - i**p. Does 14 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 631314?\nAnswer: 631314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 1305.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -138946, -277700, -416458, -555220, -693986, -832756?\n\"Answer: -2*l**2 - 138748*l - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 211*g**8\/336 + g**4\/12 - g**3\/6 + 35*g**2. What is the second derivative of p(x) wrt x?\nAnswer: 4220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7638 = -81*m - 321*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:38 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + ((sqrt(84)*2)\/sqrt(6))\/(-3*sqrt(6)\/sqrt(3)).\nAnswer: -4 - 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*i**2 - 3283 + 1643 + 1640 - 1372*i**2.\nAnswer: -1441*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 3*y, 5*m - m = -2*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156069582*i - 271731696?\nAnswer: 156069582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -94, 15 in decreasing order.\nAnswer: 15, -1, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 - 5*j**2 + 8*j + 13. Let y(z) = -2*z**3 - 2*z**2 + 5*z + 7. Let b(r) = 4*m(r) - 7*y(r). Let t be b(-3). Solve -2*a + 5*a = -t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10117361?\nAnswer: 47, 167, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 0, -6 = -2*h - 3*m - m. Suppose -6*t - 6 = -10*t - n, -4*n - 2 = h*t. Solve -s = -i - t*s + 9, -s = -4*i + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*n**5 + 7*n**2 + 3*n.\nAnswer: -840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h + 29. Let p be k(7). Let t = -40 - -46. Let z = t - 3. Which is the third smallest value? (a) 4 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1030\/412*(-1 - 0)*28\/5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-258 + 110 - 30)*((2*a - 4 + 4)*(-6 + 3 + 0) + 0*a + 0*a - a) to n + z*a and give z.\nAnswer: 1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 + -155 + (3 + (-36)\/6)\/(3\/52)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) 3 (c) -0.2 (d) -0.06 (e) 10.4 (f) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:56 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0)**(-21)*(i\/(((i*i**(2\/3))\/i)\/i)*i)**(-20) assuming i is positive.\nAnswer: i**(-203\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 41. Let l(z) = -z**2 + 8*z + 3. Let k be l(4). Let j = k - n. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - b = -4 + 16, -5*r - 2*b = -9. Let z be 15\/(-3) - (r + -4). Is 19 a factor of z + 1 - -3 - (-20 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 82897*t**2 + 2 + 82904*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1226, 5146, 11680, 20828?\n\"Answer: 1307*g**2 - g - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -4, 2, -3 in descending order.\nAnswer: 87, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 34 = 4*d, 0 = -2*f + 5*d + 38. Suppose f = 2*q + 17. What is the closest to 1 in 33, q, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-896)\/1008*24\/(-2)*4*54\/(-48).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09333285 rounded to 5 decimal places?\nAnswer: 0.09333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + (-10 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f - 4*o - 1159, -2*o - 1913 = -5*f. Let c = f - 609. Let y = 2506\/11 + c. Sort -4, y, 0.1 in ascending order.\nAnswer: -4, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -3*x + 4*m, 3*x + m + 2*m - 135 = 0. Calculate the remainder when 139 is divided by x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - -1 - (-15 + 14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 443464*g - 453226*g + 10 as n*g + m and give n.\nAnswer: -9762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -3, 13, -2, -1 in ascending order.\nAnswer: -3, -2, -1, -1\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 56 = -40*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19442717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-39*(-23)\/598)\/((-30)\/16))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 o when four letters picked without replacement from qvbwovo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Suppose 0 = l + x*l, -4*l = -5*h - 345. Let v = -689\/10 - h. Is v smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (10 - 5 - (7 + 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 128?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-6))\/(41\/((-738)\/9))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -55.2. Let c = 3.2 + d. Let g be (0 + -1)\/(0 - 6). Sort g, 0.5, -4, c in decreasing order.\nAnswer: 0.5, g, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 - 780\/(-66). Suppose 8 = l - 2*d, 2*l - l = 5*d - 7. What is the remainder when (-2478)\/(-36) + 2\/k is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.17 and 1322.7.\nAnswer: -2870.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1164 = -64*a - 103 - 101. Solve 17*l = a*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let u(d) = -515*d. Calculate u(p(m)).\nAnswer: -1030*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -2*l + 8, 4*l + 3 = -x. Suppose l = -3*n + 6*n + 6. Let i(o) = -3*o - 2. List the prime factors of i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 880179 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 3*o - 5. Let q(s) = 3*s**2 - 8*s + 14. Let j(n) = 6*q(n) + 17*w(n). Let f be j(-4). Let d = 6 + -2. Sort f, d, -1 in increasing order.\nAnswer: -1, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 41*q - 10*q + 31*q - 5. Let x = -42 + 25. Calculate the remainder when i(x) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - -868808661.\nAnswer: 868808660.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:56 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 2*x + 4*x**2 - 3*x**2 - 2*x**3 in the form a + t*x**3 + n*x**2 + l*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from bbhkhqqkqq.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5 - 45*w**4 - 330*w**3 + 2170*w**2 + 8325*w - 10125 = 0. What is w?\nAnswer: -5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 - 119. What is the remainder when 19 is divided by (-3 + t\/(-1))\/(3\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + -2 + (-8 - -110). Let a be l\/(-24) - ((-4)\/(-2) + 0). Let q(b) = 4*b + 6. Give q(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:46 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063674 weeks in minutes?\nAnswer: 641.83392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 12\/4) + -23. Let a = j + 3. Is -25 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((0 - -1) + (-169)\/130).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + (sqrt(153) + 0)*-5 + (2 + sqrt(153) + sqrt(153))*-1)**2*1.\nAnswer: -84*sqrt(17) + 7496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27175366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -27. Let v(m) = -m + 12. Let b(r) = r - 11. Let c(i) = -7*b(i) - 6*v(i). Let h be c(z). Solve 0 = -5*o - h - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 699, 1360, 1997, 2598, 3151, 3644, 4065, 4402?\nAnswer: 4643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12766 is divided by 297.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/11 - 5548\/(-374528)*32.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150, -1149, -1148?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18920)\/3630)\/(2\/(-33)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8841952 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10*3\/25*(-10)\/15\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 473, 718, 963, 1208?\nAnswer: 1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 6*y - 4*y**3 - 17*y**2 + 17*y**2.\nAnswer: -15*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 23. Suppose 12*u - 9*u - 48 = r. What is the highest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13831, 27662, 41493, 55324, 69155, 82986?\nAnswer: 96817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -101, 221, 3, 2.\nAnswer: -101, -5, 2, 3, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + -2*sqrt(343))**2.\nAnswer: 28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -4*w + 14*j + 12, -5*j = -10. Suppose -w*q - 105 = -2*d, -4*d - 3*q = -5*d + 54. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13440307 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-20) + (-301)\/(-5) is divided by (-2)\/3*240\/(5 + -15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3 = -9. Let x(a) = -3*a - 4*a + 19 - 9 - a**i. What are the prime factors of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/445068 and 121\/7608?\nAnswer: 890136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5920385489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1157489392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3 - 9*o**2\/2 - 2*o + 12. Let m be a(3). Let n(g) = -30*g + 1. What is the remainder when n(m) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7*a + 6 = 0, 2*x = -5*a + 1018. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -598\/3 - -202. Find the common denominator of p and (-32)\/6*(-14)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302604 is divided by 875?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 4*j - 1. Let v(c) = -c**3 - 3*c**2 + 27*c - 1. What is the smallest common multiple of i(3) and v(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35929, 36063, 36213, 36379, 36561, 36759?\n\"Answer: 8*i**2 + 110*i + 35811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 9*o**3\/2 - 723*o. Let x(a) = -2*a - a + a. What is x(p(q))?\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 26\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z - 120. Let w = -14 + z. Suppose -5*m + 35 = 3*a, 0 = -m + 92 - 91. Calculate the highest common factor of a and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 4*p - 28. Let a(m) = -m**2 + 2*m + 160. Let s be a(14). Calculate i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1*(3 + -2))\/(13\/(-17459))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1406*o + 57415. What is q(-41)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 303?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 74 = 26*g - 41*i, 3*g + 6*i + 42 = i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -418 + 422. What is the remainder when 38 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11, 33, 69, 119, 183?\n\"Answer: 7*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-5 + 3) - 1530\/(-189). Let z = 30 - 92\/3. What is the nearest to r in -4, z, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*n - 0*n + 7, 4*n + 3*k = 13. Solve 0 = -n*f - 1 - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -548, -3, 771 in ascending order.\nAnswer: -548, -3, 771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.83 + 0.17. Let g = 88.5 - -160.9. Let y = 249 - g. Which is the third biggest value? (a) q (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 149777 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-31 - -4) + 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1509222112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*k - 113*k + 390 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -10309.\nAnswer: -124\/10309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, k: 3}. What is prob of sequence kkrk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3))**(-20)*(s**(-2\/21)\/s)\/(s**(1\/14)\/s) assuming s is positive.\nAnswer: s**(-481\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42808064 a multiple of 3952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93461521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*k - 155*k - 2056 + 2736 + 2516 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1973 (base 11) to base 9\nAnswer: 3377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82222 is divided by 783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 3*s**2 + 7*s - 6. Let q be c(4). Let i = q - 4. What is the second derivative of 0*g + 2*g**3 - i*g + 2*g - 2*g wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a week in minutes?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/7 (c) -0.1 (d) 0 (e) -2 (f) 1392.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, 0.3, 1\/3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(-238)\/(-51).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 339\/4 - 9\/12. What is the highest common divisor of 24 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/24 + 27*p**2. Let y(g) = 15*g**2. What is y(z(a))?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15*s**2 - 1. Let r(q) be the first derivative of q**3\/2 - 87*q - 16. Let j(g) be the first derivative of r(g). What is j(d(a))?\nAnswer: -45*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and 37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(300) - (sqrt(300) + -2 + 1))*1)**2 - (4 + 0 + -2 + sqrt(300))**2) + -2).\nAnswer: -1220 - 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2712.14634 and 0.6.\nAnswer: 1627.287804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774345 divided by -5?\nAnswer: -354869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -25 - (-1 + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 24334*r**5 + 244398*r**4 - 540270*r**3 + 365850*r**2 - 81000*r = 0?\nAnswer: -12, 0, 15\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q**3\/q)\/q)*q*q\/q**5)**(-3\/13) assuming q is positive.\nAnswer: q**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - ab71?\nAnswer: -ab6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwvwhwhwwhwqwhvwvvw. Give prob of sequence vwh.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-26.7.\nAnswer: 2.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose 3*h + 3*y = 36, -3*h + y - 46 = -6*h. What is the smallest common multiple of o and (-136)\/h*(-2 + -1 + 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**3 - 3 + 3)*(0 - 1 + 2)*(2*r + r - 2*r) as u*r**4 + n*r + a*r**2 + c + q*r**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 184 + -180.7. Which is bigger: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-19))**12*f\/f**(-1\/10)*f**(-23)\/f)**2 assuming f is positive.\nAnswer: f**(-2509\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*46\/(26\/(-117)*9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171814.2493679406 + -5.1506680594. Let c = k - -171820. Let m = c + -0.6. What is m rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 62079 = -5*g - 62254, -v = 5*g + 175 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/2)*d\/(d*d**(-17)) assuming d is positive.\nAnswer: d**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 5*c + 245925 = 5*a, c - 4*a = -122964. Round c to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -3 + (-2 + 10 + 0 - (12 + 11))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -319, -1100, -2619, -5122, -8855, -14064?\n\"Answer: -41*a**3 - 2*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -957634 divided by 102\nAnswer: -478817\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1270 + -1331.4. Round x to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**0\/g)\/g)\/g)\/((g**(-2\/21)\/g*g*g)\/g) assuming g is positive.\nAnswer: g**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -438*k + 214 with respect to k.\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 222699447 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 6. Let l = 11 - z. Suppose -p = 5*q - 4*p - 76, p - 40 = -l*q. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1654070 and 53\/3.\nAnswer: 4962210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*v**3 - 10 + 3 + 6 as g + p*v**2 + s*v**3 + k*v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j + 8. Let d be o(5). What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - 4) + 1 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23798*-0.31729\nAnswer: -7550.86742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 23*i - 39 = 0. Let j be (3*i\/570)\/(48\/40). Suppose -4*s - 4*c = -12, -4*c + 15 + 1 = 0. Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = -5*s, 4*a - 5*a = -4*s + 1. Suppose -a*k - 7 = -4*r, -4*k - 3*r = -4*r - 8. Differentiate 1 + 11 - 2 + k*v + 3 wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521, 466, 299, -10, -491, -1174, -2089, -3266?\nAnswer: -4735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70.93 - -70.03. What is the smallest value in j, 3\/2, 181?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -172 - -182. Suppose -y*q + 3*g = -14*q + 2501, 0 = -q + 5*g + 654. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 10*s - 608. Let w = -140 - s. Calculate the smallest common multiple of w and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27275 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**5 - 24*p**4 + 40*p**3 - 44*p + 24 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = -s - 22, 8 = 2*h - 4*s. Suppose x + h = 3*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31115 - 16*y**4 - y + 31119 - 5*y**3 - y**4 + y**2 + 5*y**3 as o*y**4 + q + v*y**2 + p*y + s*y**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/39 - (-6)\/4*(-680)\/45?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*q**2 + 8*q**4 + 13*q**4 + 0*q**2 wrt q?\nAnswer: 504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 7*p - 30. Let k be y(-9). Let m be 78\/k*(-10)\/5. Solve -m + 16 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 2*f**2 - f - 9. Let o be b(-4). Suppose 4*m - o + 323 = 0. Let q = m + 60. Solve -4*h - 32 = -4*l, 0 = q*h - 7*h - 3*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -4, 4, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93714.32 + -93847.29653. Let v = -106.576667 - a. Let b = 26.4 - v. Round b to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 27 = -5*y, 31 = b + 3*b - 5*y. What is the second derivative of 0*k**b + 0*k**4 + 0*k + k + 2*k**5 wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20641.\nAnswer: 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (407\/148)\/(2\/120) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2494395 and -0.0699772.\nAnswer: -2494395.0699772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52243 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*f - 3*a - 0, 0 = 4*a + 8. Let g(z) = -2*z**3 - 18*z**2 - z - 9. Let v be g(f). Solve -2*h - 11 = 3*h - c, -3*h - 4*c - 2 = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 + 751 = v. Suppose 4*q - 832 = v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5 (c) 1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*x = -136*x - 1656. Let c = 600 + x. Calculate the remainder when 96 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(3*(-8)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8997 - 8930. Let b be 654\/9 - (-4)\/(-6). Let n = b - l. Solve -q + u = 4*q + 13, 4*u + 23 = -n*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3) + (-412)\/34 + 9\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m**(-21)\/m*m)\/m)\/m)*m\/m**29*m*(m*m\/(m*((m**(-12\/11)*m)\/m*m*m)\/m*m))\/m*m**(-8\/7)\/m)**(1\/25) assuming m is positive.\nAnswer: m**(-466\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 307\/55 + -329\/55. What is the smallest value in 1\/11, c, -4, -18, -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 6*i**3 - 21*i**3 + 5*i + 7 + 16*i**3. Is b(5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/65637 and 8\/2431?\nAnswer: 65637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 36 = 4*p - 80, -3515 = 220*q - 5*p for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 12:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301646 and 166868.\nAnswer: 7842796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/408*17)\/(15\/18)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/5))**(-1))**(-1\/21) assuming v is positive.\nAnswer: v**(4\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43315639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v - 925 = -764 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277762117 to the nearest integer?\nAnswer: 16666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.19?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 61648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12*-0.68\nAnswer: -8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -12*i - 266. Is -3 + ((-323037)\/156)\/(6\/i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55797 to the nearest 100.\nAnswer: 55800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttowouttox. What is prob of sequence uoox?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/3 + 4954154*j\/3 - 3302772 = 0. Calculate j.\nAnswer: -2477079, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3347, 13113, 29389, 52175?\nAnswer: 81471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 27*i - 981. Let y = 5 + 23. Calculate the lowest common multiple of y and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:32 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2430434422 (base 5) to base 9\nAnswer: -11674687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 2*t**2 - 79*t + 192. What is o(0)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 57*v**2 - 5*v - 10. Let j(q) = 47*q**2 - 5*q - 8. Calculate -6*j(a) + 5*l(a).\nAnswer: -5*a**3 + 3*a**2 + 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23367, 23363, 23355, 23343, 23327, 23307?\n\"Answer: -2*i**2 + 2*i + 23367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtftxxmbmxbtxxxfx. What is prob of sequence xfb?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 16. Let r = -10 + d. List the prime factors of r\/21 - 108\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 13*b**2 - 15*b + 18. Let o(v) = 6*v**2 - v + 1. What is the lowest common multiple of o(-2) and l(-12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + o + o**2)*(-3*o**2 - 12*o - 170 + 170) to the form x + w*o + p*o**4 + n*o**2 + z*o**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/17685040 and -99\/80.\nAnswer: 17685040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2867, 5722, 8577, 11432?\n\"Answer: 2855*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200196940 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*u + 3 = -x, 7*u = 394*x - 393*x + 4 + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-12)*n)*(n\/(n\/n**(-6\/11))*n*n)\/n*(n*n*n**(-21))\/(n\/(n\/(n\/(n*n**(-23))))) assuming n is positive.\nAnswer: n**(-325\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -174*798\/7714*(-4)\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.665443 meters to centimeters.\nAnswer: 466.5443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 and (1 + -50)\/(15 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58921*-7192\nAnswer: -423759832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2 - 252*p - 488 = 0. What is p?\nAnswer: -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28085 and 1168336.\nAnswer: 5841680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-0.058178309\nAnswer: 0.0465426472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3514\/55 + -319\/5. Let s = 0.1 + 0.9. Let m = 21 - 125\/6. Which is the second smallest value? (a) m (b) s (c) 0.1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 152 = -14. Calculate the remainder when t is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1686900, -1686896, -1686892, -1686888, -1686884?\nAnswer: -1686880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 29 = -19. What is the remainder when p is divided by 72\/10 + (-4)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 374718\/17 or 22042?\nAnswer: 374718\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 626942314 to the power of 1\/2, to the nearest integer?\nAnswer: 25039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3704 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13441*i**2 + 1887*i - 50629138 wrt i?\nAnswer: -26882*i + 1887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39394 (base 15) to base 9.\nAnswer: 308104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -10103?\nAnswer: -10055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/255, -1713, 0.2, -0.2, 0.4?\nAnswer: -1713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-20) + 28\/35. Let k(c) = 3*c + 82*c**2 + d*c**3 - 3*c**3 - 79*c**2 - 3. What is k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 8 = 7*p. Suppose 2*w - 2 - p = -l, -6 = 3*l - 2*w. Let l - 8\/9*o + 8\/3*o**2 - 10\/9*o**3 = 0. What is o?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwq when three letters picked without replacement from {w: 1, f: 2, t: 1, q: 1, y: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:56 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -2\/5 (c) 1\/4 (d) 24958 (e) 39 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, b: 2, q: 8}. Give prob of picking 2 q and 2 f.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/48)\/(5\/4). Let i be (-4)\/(-14) - 312\/14. What is the second biggest value in b, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5185*r**4 - 12*r**2 + 636625*r wrt r.\nAnswer: 62220*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2452396328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*s**5 - 2830*s**4 + 212114*s**3 - 369658*s**2 + 114384*s + 46008 = 0. What is s?\nAnswer: -213, -2\/9, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*i - 95 + 87 = 0, -26 = -4*l - 5*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11667 > 875093\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8477828 and 2047611.\nAnswer: 483236196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 212*x**3 + 5*x**4 - 3*x**4 - 223*x**3 - 4*x**2 + 4 - 2 + x**2 - 6*x to the form t*x**4 + a + p*x + y*x**3 + q*x**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.1. Let c = n + -0.3. Let x = -61\/384 + -1\/128. What is the nearest to 2\/7 in c, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001266361 to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2981 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 301011 (base 6) in base 16?\nAnswer: 5bff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9 + 3.9. Let f = 1.11 + -0.11. Let l = f - 5. Is u equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 75878\/109, 4 in decreasing order.\nAnswer: 75878\/109, 4, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in -1\/2, -4\/5, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.4 + -185.4. Let q = -273 - w. Let f = 96.00122 + q. Round f to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -31 (b) -3 (c) 2\/88809\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -4*v**5\/5 - 2*v**4 + 4*v**2 + 4*v - 14. Find f such that q(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*10*(-14)\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/6 - c. Let t(y) be the first derivative of -113*y**2\/2 + 2708. Determine g(t(o)).\nAnswer: -25538*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 9:48 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 9.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110101 - -1010101?\nAnswer: 10111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21472, -42268, -62384, -81820, -100576, -118652, -136048?\nAnswer: -152764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6026 - -12280. What is the highest common divisor of n and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10991230?\nAnswer: 2, 5, 43, 25561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + u**2 + u - 1. Let q(h) = 10*h**3 + 3*h**2 + 6*h - 3. Give 3*i(x) - q(x).\nAnswer: -13*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5015?\nAnswer: 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1224 and 742356.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 775\/(-97) - 6\/(1120\/160 - 62\/8).\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r**3 - 17*r**2 + 17*r. Let y(w) be the first derivative of 3*w**4\/4 + 2*w**3 - 3*w**2 - 1779. Let b be 7*1\/((-14)\/(-12)). Give b*q(p) + 17*y(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_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: Four letters picked without replacement from {b: 7, w: 1, y: 2, d: 8, k: 1}. Give prob of picking 1 k, 1 w, 1 b, and 1 d.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57.4 + -57.464. Let w = 3.064 + q. Sort w, 0.3, 0.5, 5 in ascending order.\nAnswer: 0.3, 0.5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82 + -91?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 91*-71\nAnswer: -6461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140561 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 5*w**2 - w - 2. Let l be f(-5). Let m = -0.13 + 0.63. Which is the nearest to l? (a) 1 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2.59.\nAnswer: -10.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:13 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 220494949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v + 193. Suppose -36 = -2*k + 2. Let y be n(k). Solve -y*h + 5 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3\/11 + 18*p**2 - 594*p + 6534 = 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4207*i**6 + 130*i**5 - 338784*i**2 wrt i.\nAnswer: -504840*i**3 + 7800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 7*f**2 - 2*f - 37. Let o be y(8). What is the greatest common factor of o and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4702 + 4753. What is the highest common divisor of p and 1598?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*w + 124, 482*w - 484*w - 66 = -q for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -5, -0.8, 0.14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2918.78 - -2554.78768. Let o = 364 + l. Round o to four dps.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 918 + -897. Suppose -111 = -24*o + i*o. What is the smallest common multiple of o and 5?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, 16, -10.7, 1 in decreasing order.\nAnswer: 16, 1, 0.3, -5, -10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 358*p + 1200. Let f(i) = 1075*i + 3599. Let j(a) = 6*f(a) - 17*t(a). Differentiate j(l) wrt l.\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 696\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.3423716ms in days?\nAnswer: 0.000000119703375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -830, -1939, -3492, -5489, -7930, -10815?\nAnswer: -14144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 456 + 0 - -25*(-44)\/1100. Solve -8*l - x + 479 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*1)\/(1\/((135\/18)\/(-5))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12961952 is divided by 32982.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13344 - 13345. Which is the closest to 0.2? (a) k (b) -0.2 (c) -0.38 (d) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -953919 (base 10) to base 14\nAnswer: -1ab8d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.5 (b) 44 (c) 4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40457*p - 20225*p - 20228*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11 - 28\/11*t**3 - 120\/11*t + 114\/11*t**2.\nAnswer: -2*(t - 2)**2*(14*t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 403*a - 400*a + 69, -5*a + 165 = 12*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 184*b**2 - 10292*b - 672.\nAnswer: 4*(b - 56)*(46*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -903774672 divided by -6858.\nAnswer: 131784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/9))\/(y\/(y\/(y\/(y**(-4\/7)*y)))))\/((((y\/(y\/(y**(-7)*y))*y)\/y)\/y)\/y**1))**(-2\/77) assuming y is positive.\nAnswer: y**(-94\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 10 + -10 + 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -6, 0.3, 0.2, 6\/47?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369362723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.341, 13, -4?\nAnswer: -0.341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109965253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 8 + 36. Suppose -8 = 26*h - k*h. Calculate the remainder when 93 is divided by h\/((12\/18)\/((-38)\/6)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49234+-9089\nAnswer: 40145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2244*q**2 + 12449*q**2 + 9252*q**2 + 569*q**2)*(-2 - 1 + 2) as k + p*q**2 + x*q and give p.\nAnswer: -20026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 58c0b17?\nAnswer: -58c0b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/15)\/((-508)\/635))\/(10\/(-15)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000 - 100110?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 229 - i**2 - 231 - 4*i + 12*i. Give k(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5}. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**3 - 2*h**2 + 3*h - 2. Let p = -116 - -170. What is the remainder when s(-3) is divided by p?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (456\/32*664\/(-830))\/(1\/(10\/(-6))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2)\/(-37 + 676\/26)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -26475?\nAnswer: 1\/8825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/84*(-5)\/(1\/1).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*t + 9 = 3*g + 893*t, -8*g + 31*g - 5*t - 100 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(14)*-1 + sqrt(70)\/(sqrt(5)*-2 + sqrt(5)))\/((sqrt(140)\/(sqrt(7)*1))\/sqrt(10)))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) + -1)*3)**2 - (4 + (((sqrt(68)*1)**2 + sqrt(68))*-6 - sqrt(68))).\nAnswer: -130*sqrt(17) + 2888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10. Suppose -3*w = -5*w + 8. Suppose a = -3*p - 3*n - 0*n - 6, -4*n - 24 = -w*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 24 - (-1 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8. What is the closest to h in 2, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (0 - 3) - (19 + -19). Suppose l = 4*q - 65, -25 = -2*q - 0*q - l. Solve 3*j + z*g = -3*g - 19, q = -3*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 0.5, -2, -0.3, 3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 903? (a) -1\/4 (b) 1\/6 (c) -1\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526688 divided by 95418?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 4*z + 120. Suppose 15*f = z*f - 20. Suppose 0 = d + f*l + 15, -5*d - l - l - 3 = 0. What is the nearest to -2\/7 in d, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p. Suppose f = -p*f - 2. Let x(c) = 2*c**2 + 1. Let a(y) = -y**2 - y - 1. Let k(q) = 3*a(q) + x(q). Give k(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -23\/135 (c) -1\/6 (d) -2 (e) 2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/12 - (-8)\/12. What is the units digit of x\/13 + 10428\/156?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Solve -23 + 5 = -d*a + 3*f, 14 = 2*a - 4*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/sqrt(3)*5 + sqrt(44)\/sqrt(4)*-3 + 3 + sqrt(1100) + -1)*6 + 1)**2.\nAnswer: 1872*sqrt(11) + 57193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5226*f**2 - 5408.\nAnswer: 10452*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*77\/(-154)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 - 5*p - 8. Let f be z(4). Suppose -f*c + 10*v = 6*v - 52, -4*c = v - 67. Calculate the remainder when 101 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 5. Let g be o(-5). Suppose 2*u - 7*u = g. Suppose c + 4*h + 20 = 3*c, u = c + 3*h - 10. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107288 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*u + 68 - 76 = -261 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**3 + 7*s. Suppose -5*b + 9*b = -5*u + 30, u - 6 = -5*b. Let x(m) = 7*m**3 - 6*m. Give u*t(o) + 7*x(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**(-46)*(k*k**(-1\/2))**(-5\/7) assuming k is positive.\nAnswer: k**(-327\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/3)\/(4\/18) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24890 - -5409. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s**3 - 21*s**3 - 10*s**3 + 140*s**3.\nAnswer: 163*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/(f*f**(1\/10)*f))\/(f*f\/(f*(f\/(f\/f**2*f*f))\/f))**29 assuming f is positive.\nAnswer: f**(-531\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**4 - 24372*i**3 + 146325*i**2 - 121950*i = 0.\nAnswer: -8130, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 18 and 181 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 448, 595, 722, 823, 892, 923?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 - 896*s**4 + 51060*s**3 - 146968*s**2 + 96800*s = 0. Calculate s.\nAnswer: 0, 1, 2, 100, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 355058323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -43*g + 1. Let q(j) = j + 9. Let o be q(-7). Let z = o + -3. Let d be c(z). What is the greatest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, 27, -5, 2 in descending order.\nAnswer: 27, 2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4757 (b) 4 (c) 0.3 (d) 91 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (21 + -35 + 19 - (2 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let i(j) = -j - 6. Let x be i(-6). Suppose -7*a + 37 - 9 = x. Let l(g) = -5*g + 3 + a*g - 3. Give l(r(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1118, -2399, -4544, -7559, -11450, -16223?\n\"Answer: -j**3 - 426*j**2 + 4*j - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19952987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*4\/16 - 102\/(-12). Solve b*v - 37 = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 24. Let y(c) = -231*c**2. Determine y(o(n)).\nAnswer: -924*n**2 - 22176*n - 133056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((4 - -4) + -5 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 4*d. Let n be i(-2). Let z(u) = u**2 + u - 3. Let p be z(-3). Let m be (-4)\/(p\/(-9)*(-4)\/(-2)). Solve n*j = 2*j + m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (7 + -1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03906029392281 and 25.\nAnswer: 25.03906029392281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 50. Let g(v) = 2*v**2 + 56*v**3 - 3*v**2 + 0*v**2. Is g(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 20. Determine t(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Let a(f) = -2*f + 3. Suppose 75 = 3*r + 3*u, 6*r - r + 4*u = 126. What is the remainder when r is divided by a(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(2 + 152\/(-78)). Let f = t + 0. Suppose f = -0*c + 3*c. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.45265 millimeters in meters?\nAnswer: 0.05145265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 + 2*a**5 - a**5 + 5*a**5 - 2*a**5 - 4*a**5 + (-2*a**4 + a**2 - a**2)*(0*a + 6*a - 3*a).\nAnswer: -9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drd when three letters picked without replacement from {d: 5, h: 2, r: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1539))**2 - sqrt(1539))*-4*4 + ((sqrt(152) + (sqrt(152) - ((sqrt(152) - 1*sqrt(152)) + sqrt(152))))*-6)\/(sqrt(72)\/(1*sqrt(9))).\nAnswer: -24624 + 138*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 0*m**2 + 4*m**2 - 17 + 16 + 14*m - 14*m + 2*m**2 + (-m - 2*m + m)*(m - 5*m + 3*m).\nAnswer: 8*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*n, 0*n + n = 5*s - 14. Suppose 2*w + s*i = 8, 15*i = 4*w + 20*i - 16. Solve 7*v = -11 + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/21 in -205, -6, 16.6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 168450820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/48 - 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14156 (base 7) in base 14?\nAnswer: 159d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43252764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*b + 2*b**2 - 57*b + 4*b**2 - 3*b**2 as x + c*b**2 + w*b and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:36 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-39))\/1*33480\/(-1736)?\nAnswer: 90\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57601942535 - -57601942273.999996792. Let y = -261 - z. Round y to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4946474.2 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o + 239. Determine h(20).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 867782 divided by 5.\nAnswer: 867782\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29614*q**2 + 34993*q**2 + 0 + 0 - 64602*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 160*q - 2 - 160*q + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.599222075 + -0.3.\nAnswer: -0.899222075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3480840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/60 - c**4\/12 + c**3\/3 - 809*c**2. Let t = -6 - -3. Let g(h) = -h**2 - 3*h - 4. Let b be g(t). Give v(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5218668 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*r, 259*m - 126*m - 129*m + 24 = -3*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-6)*(96\/(-64))\/1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15854531 and 11?\nAnswer: 15854531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 38. Suppose p*b - 3*b = 18. Let f be (-19)\/b - (-4)\/(-6). Which is smaller: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 113322323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250580841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676026 is divided by 1905?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 1763267?\nAnswer: 1763274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -14*d + 531. Calculate i(40).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -558507.059 take away -2.1?\nAnswer: -558504.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1282778688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5580 + 3323. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -0.08337.\nAnswer: 0.0075033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-132)\/10)\/3 + 104\/260. Sort 0.03, t, 17 in decreasing order.\nAnswer: 17, 0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14233366 (base 8) to base 2\nAnswer: 1100010011011011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 5*s - 1. Let t be v(-6). Let l(b) = 2*b - 5. Let x be l(t). Solve 20 = -x*a + 4*p - 15, -5*p + 25 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-4) - (-216 + 219)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/20 - 13*d**4\/12 - d**3\/2 + d**2\/2 - 16*d. Is 5 a factor of w(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81960002?\nAnswer: 2, 40980001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164052.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/(4\/48). Suppose -1 = 3*b + 5*m - x, -2 = -2*m. Solve -f + 5 = b*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*y - 119267 = 0, -3*y = 54*u - 53*u - 59629. List the prime factors of u.\nAnswer: 2, 29819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from qzoqjyoj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-9)\/135.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 203.\nAnswer: 40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 8423*i**2 + 2*i - 8422*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2239595 is divided by 1898?\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**3*n + 4*k**3 - 12833*k - 396503*n wrt k?\nAnswer: -6*k**2*n + 12*k**2 - 12833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than -612057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/1 - (-3 - -2). Is (-2 - (-3 - s\/6))*-1658 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*d - 42 - 201 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.58193ml in litres?\nAnswer: 0.04258193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -1\/2, 8.4, -2\/5, 0, 0.2 in descending order.\nAnswer: 23, 8.4, 0.2, 0, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1961285*b**5 - 212*b + 1102.\nAnswer: -39225700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {s: 1, m: 1, q: 1, d: 2, z: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 1\/2*l**2 + 0*l + 44. Let j(f) = -6*f. What is j(h(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 392\/3 - ((-104)\/24)\/13. Let a = h - 54. What is the least common multiple of a and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7437455?\nAnswer: 5, 19, 79, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -44*q - 156 - 191 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 10*z**2 - 14*z - 9. What is b(11)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26189, -52388, -78589, -104792?\n\"Answer: -u**2 - 26196*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 - 0.336. Let f = -906.03 + 906. Let k = f - t. What is k rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 + 2845780*r\/13 - 1012307976050\/13.\nAnswer: -2*(r - 711445)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (149 + -150)\/((-1)\/4). Solve -4*b + 5*m - 16 - 5 = 0, -v*b = 5*m - 29 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + 6 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 13*n - 6. Calculate v(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*f**2*x**3 - 2*f*s*x - f*x**3 + 3*s*x**3 + s*x**2 - 80*x**3 wrt f?\nAnswer: 152*f*x**3 - 2*s*x - x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17748, -142793, -482204, -1143165, -2232860, -3858473, -6127188?\n\"Answer: -17864*h**3 + h**2 + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8879*d*p*t**2 - d*p + d*t**3 - p*t + 515*t**3 wrt d.\nAnswer: -8879*p*t**2 - p + t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let l(a) be the first derivative of a**2 + 6*a**j + 0 - 5*a**3 + 1. What is the second derivative of l(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726e7f (base 16) to base 4.\nAnswer: 130212321333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmmemmmeemeeeme. Give prob of picking 1 m and 2 x.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 28*f**3 + 62*f**2 + 40*f + 6 = 0.\nAnswer: -1, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w = -26*w + 21. What is the units digit of (4 - 5 - w - -1) + 392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 56?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, i: 2, x: 1, h: 4}. Give prob of sequence hih.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12028 divided by 4?\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -164, -1, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y + 3*y**4 + 109 - 279 + 151 - 194*y**2 wrt y?\nAnswer: 36*y**2 - 388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1234040 (base 5) to base 6.\nAnswer: 304210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/23)\/y))**(7\/4)\/((y*y\/(y\/y**(-2\/13))*y)\/y*y**9))**10 assuming y is positive.\nAnswer: y**(-19430\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 3. Let r(z) = -21*z + 28. Let u(w) = 3*r(w) - 28*x(w). Calculate u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52733733 less than 12177?\nAnswer: 12176.47266267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1 + -2 - 0). Suppose 0 = g + v - 7. Let q(y) = y**2 - 6*y + 3. Is q(g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6168 + -445?\nAnswer: -6613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 19, 2.6, 3?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - m + 35, -m = 2*d - 58 - 15. Let q be (-27)\/36 - d\/(-8). Find the second derivative of -5*p**4 - 10*p**4 + 11*p + 5*p**q + 9*p wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.06 - 0.06. Let u = 0.7 - -3.8. Let w = v - u. Put -0.4, w, -4 in increasing order.\nAnswer: -4, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + c = 0, 0 = -4*f - c - 7 + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Suppose 0 = g*v + 8, 2*v + 11 = -3*a + 28. Suppose -5*h = -2*t + 3, -4*t + 4*h = -0*t - 36. What is the greatest common divisor of t and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23330*b*j + 3675*b - 268610324*j wrt b.\nAnswer: -23330*j + 3675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwuuaulwnw. What is prob of sequence au?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -3*r**5\/5 - 17*r**4\/4 + 5*r**3\/3 + 37*r**2 + 909. What is the third derivative of w(x) wrt x?\nAnswer: -72*x - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, -164, -276, -338, -296, -96, 316?\n\"Answer: 9*g**3 - 56*g**2 - 3*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 310. Suppose s + o = 3*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from csaczddadzsdzdddadd.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l - 7. What is the remainder when a(9) is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057089 to 6 dps.\nAnswer: 0.000571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjtjttjteejtjtjjtt. What is prob of sequence jt?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**4 + 17*k**3 + 29*k**2 + 23*k - 4. Let b(i) = -4*i**4 - 18*i**3 - 29*i**2 - 25*i + 5. Let v(q) = 4*b(q) + 5*t(q). Suppose v(m) = 0. Calculate m.\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-7) + (270\/(-42))\/15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7877093959 rounded to three dps?\nAnswer: 0.788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 100484689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y - y)*(5 + y - 5) + (-6 + 6 + 6*y)*(2*y - 6 + 6).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a3784b0 + -1?\nAnswer: -a3784b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/3 - 1\/12. Let m = -0.1 - -0.3. Let j = 0.2 - m. Which is the nearest to j? (a) i (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-9)*(-231)\/(-44) - (-7 + 9). Solve g*l - 15 = -5*u, u = -3*l - 0*l - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(1*2 - (-10 + 15)). Let c be (-18)\/o*(4 + -6 - 3). Calculate the highest common factor of 24 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*b*i*k**2 - 5*b*i*k + 2*i*k**2 - 20*i with respect to b.\nAnswer: -26*i*k**2 - 5*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*q + 118002, 4*q = 56*w - 52*w + 157296. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2407.107 plus -0.3?\nAnswer: -2407.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*d**3*p - 3*d**3 - 2*d - 289*p - 1 wrt d.\nAnswer: 54*d**2*p - 9*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -x. Let g(m) = m**3 - 217*m**2 - 887*m + 657. Let f be g(221). Put f, x, -1, -5 in increasing order.\nAnswer: f, -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -22730505?\nAnswer: -22730512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 40782 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*t + 0 = 9, -l + t + 3 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6327433 by -2.\nAnswer: -6327433\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3947, -3660, -3167, -2468?\n\"Answer: 103*k**2 - 22*k - 4028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Suppose 0 = -c*a + 6*a - 6. Let o(h) = -h**3 + 7*h**2 + 2. What are the prime factors of o(a)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/(-10) + (-2)\/(-10). Suppose h = n, -q*n = -4*h + 6*h. List the prime factors of 65\/5 + 3 + h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406973 less than 406970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-728)\/(-7)*(-1644)\/(-5343)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 6 + -52 + 67.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -42. Let k be (-4)\/3 - (-2303976)\/d. What is k rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 5*s**7\/42 - 2*s**6 - 107*s**5\/4 - 35*s**4\/2 + 1030*s**3\/3 + 900*s**2 + 846*s. Suppose p(w) = 0. Calculate w.\nAnswer: -5, -2, -1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/1108995 and 91\/1304700.\nAnswer: 22179900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 803*b**2 + 811*b**2 + 37 - 1612*b**2.\nAnswer: 2*b**2 + 4*b + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -400667.\nAnswer: 2003335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 22. Let p = -49 + 69. Let w be m(p). Let c(z) = -5*z**2 + 4*z - 3. Calculate c(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 6*j - 77. What is m(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*y + 2, s - 9 = -11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/6 + 3*q**2 + 23*q. Let j(m) = -3*m + 17. Determine 6*j(f) - 17*t(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 - -1.4. Sort 1\/4, l, 0.1.\nAnswer: l, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1097*u = h - 1095*u + 3, 0 = -2*h + 2*u + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-10)\/360)\/(0 + 3\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + o**2 + 70 + o**2 - 231.\nAnswer: 2*o**2 - 331","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = d, -2*d - 2 = -t - 8. Suppose 5 - 13 = -d*p - w, 0 = -4*p + 3*w - 11. Suppose 5 = 4*z + p. What is the highest common divisor of z and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q + q**2)*(-8772*q + 88*q**3 - 4 + 8772*q).\nAnswer: 88*q**5 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 218774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73? (a) 2\/11 (b) -3\/2 (c) -3 (d) 1\/9 (e) -1429\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 14 - 2 = 0. Let a be 350001\/5 + b\/20. What is a rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o + 330 = 0. What is the units digit of 20\/50 - o\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10511 and 1368.\nAnswer: 14379048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10038, -20077, -30114, -40149, -50182?\n\"Answer: j**2 - 10042*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p - 1. Sort 3, 0, p in decreasing order.\nAnswer: 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vackfcfkavfvk. Give prob of picking 1 v, 1 a, and 1 k.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*p + 3*y = -191*p - 67, 2*p - y - 27 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2\/5, 7, -45 in descending order.\nAnswer: 7, 3\/5, 2\/5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 17*p + 33. Differentiate 18*v**3 + 20 + 3*v**p + 18*v**3 - 15 with respect to v.\nAnswer: 117*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - g - 456, -4*l + 453 = -3*l + 2*g. What are the prime factors of l?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**5*k*k**3)\/(k**(-1\/2))**(-1\/45))\/(((k\/((k\/(k\/k**(2\/9)))\/k)*k)\/k)\/k*k*(k*k**(-1\/6)\/k)\/k)**(4\/27) assuming k is positive.\nAnswer: k**(26483\/2430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 6882330*j - 2368323311445.\nAnswer: -5*(j + 688233)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1844 is divided by 132.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 4*c + 2. Suppose -251*k + 256*k = -15. Give h(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**4\/4 + h**3\/2 - 3*h**2\/2 + 9*h. Let x(u) be the first derivative of m(u). Determine x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 258, 287?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 1\/35 (c) 0.4 (d) 7\/4 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3 - 6*m - 15*m + 90*m**2 - 89*m**2 - 4*m**3 + 109*m**6 wrt m.\nAnswer: 13080*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 505984\/1264985 + 2\/252997. Let b = 4.1 - 4. Put b, -2, -9, z in ascending order.\nAnswer: -9, -2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 763\/10 + -1136\/15. Let w = -1\/15 + p. Suppose 2*k - 2*a = 0, 2*a + 15 = k - 2*k. What is the third smallest value in 4\/7, k, w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:01 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 2032, 4568, 8118, 12682?\nAnswer: 18260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 11\/2, 0.038, 87, -2\/9, -5\/3?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1060788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.14, -0.9, -7, 0.1, 0.5, 0?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*72\/32)\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 4*c = 47526 - 47515, 3*k - 4*c = -23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*n + 10 = 0, -4*t + 0*n = 5*n + 11. Let j = 26 + -14. Suppose 2*i - 5*m = -j, 2*i - i - 8 = -m. Solve -4*l = -4*b - 12, l - 5*b + t = -i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -30. Solve -12 = 2*j + z*x, -2*j + x + 0*x - 7 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13121 is divided by 869?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -28*h + 66*h - 38*h - h**2. Let o(l) = 11*l**2 + 5*l + 5. Let v(u) = 34*u**2 + 16*u + 16. Let d(s) = 16*o(s) - 5*v(s). Give d(m(a)).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 4, l: 10, j: 6}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158757 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 42 = -5*t, 3*t + 4*b - 10 = 4*t. Let p be t\/12*32\/2. Let z be 2\/3 - 50\/(-6). Is z bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008377699 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + 2 + sqrt(5))**2 + (2*sqrt(125) - sqrt(125))**2 + -3.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17265*y**4 + 1998*y**2 + 3.\nAnswer: -414360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 1\/45, 39, -0.07, 2\/23, 6, 3\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 = -4*c - 4, i - 1 = c. Solve 5*o + 27 = -y, -30 + 5 = 5*y + c*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*v + 9, -4*w = -2*w + 6. Suppose -2*y = c + 20 - 4, v = 2*y + 2*c + 20. What are the prime factors of 99*7\/((-63)\/y)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Which is smaller: w or -0.07?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - 5*m + 10*m**2 to the form f*m**2 + y + t*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24944 + -0.04944. Which is the fifth biggest value? (a) 0.5 (b) -3 (c) 1 (d) s (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -695*p**3 + 309*p wrt p.\nAnswer: -4170*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - 27 - (944 + -963)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*r = 54*r - 112. Let p(z) = 2*z + 24. Determine p(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zooosfsasf. Give prob of sequence oa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3206 (base 11) to base 6\nAnswer: -31345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 10*y**2 + 17*y. What is q(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -190*n + 165*n + 32425. List the prime factors of n.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 - 0\/1*2\/6. Let h = 16 - i. Let q be ((-9)\/27)\/((-2)\/(-2)). Sort -13, q, h in descending order.\nAnswer: q, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1224 (base 8) to base 6.\nAnswer: -3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 - (-16909)\/(-185). Let u = g - -94. Solve 3*m = 2*d - 11, u*m = 4*d - 3 - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, -15, -35, -59?\n\"Answer: -2*m**2 - 10*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfn. Give prob of sequence dn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**24\/q))\/(q\/(q*q**3)))\/((q**(-29)\/q)\/(q*q*q**4)))**(-36) assuming q is positive.\nAnswer: q**(-612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1152)*-4*2 - sqrt(1152))\/(sqrt(24)\/(sqrt(20)\/sqrt(500))).\nAnswer: 216*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 642 and 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**2. Let f be ((-30)\/(-9))\/(1\/3). Let q be 2\/f - 45\/(-25). Let s(v) = 706 - 3*v**q - 706. Determine i(s(m)).\nAnswer: -63*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119315686.\nAnswer: 2, 7, 29, 41983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -7 - (0 + 3 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5742 equal to -5742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c + 0*c)*(-2 - 3 + 6)*(-39*c - 6*c**2 + 41*c + 0*c**2).\nAnswer: -12*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2144, -4609, -7074, -9539, -12004?\n\"Answer: -2465*a + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/406 and -55\/6?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5100 less than -904743094?\nAnswer: -904737994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 2*s**2 + 5*s. Let b be u(4). Let n = b + 15. Let z(w) = n - 6*w**2 + 0 - 3. Let t(v) = 2*v. Calculate t(z(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 462 or 461?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 17*f**4\/12 - f**2\/2 - 14*f. Give o(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16213 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/2 + 6*n**3 - 45*n**2 - 54*n + 567\/2 = 0 for n.\nAnswer: -7, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -32*u + 114. Solve 0 = -6*t - u + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 9) to base 5\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1292)\/(-17)*(-13)\/104\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259533.\nAnswer: 3, 28837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1b?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469908703?\nAnswer: 11, 19, 204397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 4. Suppose 3*j - 11*j = -40. Suppose j*a + 10 = -4*f + 39, 0 = f - 4*a - 2. Determine u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/(-22))\/((-6)\/16). Let c be 54*(2\/3 - 0). Suppose -3*y = -g*y + c. What is the highest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (42\/(-9))\/(10\/(-18))*40. Suppose 0 = 4*q + 4*q + x. Is q at most -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5185 or 25919\/5?\nAnswer: 5185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:36 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**8\/336 - y**4\/3 - 3*y**2 + 5. Let t(r) be the second derivative of w(r). What is the second derivative of t(d) wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 times -224197\nAnswer: 19953533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140570 + 207870. What is m rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - sqrt(208)*-1*6)**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13684\/308 - 43)*5\/25.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**5\/24 - s**4\/6 - s**3\/3 + 2*s. Let r(q) be the second derivative of w(q). List the prime factors of r(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 37 + 8. Suppose s*u = 11*u - 66. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.81 + 0.91. Which is the nearest to 0.1? (a) -0.3 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5199, -4955, -4649, -4251, -3731, -3059?\n\"Answer: 5*s**3 + s**2 + 206*s - 5411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 2, 0, 3, 165 in ascending order.\nAnswer: 0, 2, 3, 42, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702000 by 45.\nAnswer: 15600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/(-3) - 0. Let s(r) = -3 + 0 - r + f*r - 5. Suppose 0 = -2*b + 3*p, 2*p = 6*b - 2*b + 16. What is s(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**2 - 28*h + 0*h**2 + 0*h**2 wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229 + 2747\/12. Let f be ((-2)\/(-2) - 1)\/1. Let c be (1 + f)\/(-3 + 2). Sort c, s, -1\/4.\nAnswer: c, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 24. What is the least common multiple of 11 and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 6*t**2 + 1. Determine d(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3))**3 assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1344)*-2 + sqrt(1344))*-4)\/((sqrt(7) - sqrt(7)*-2)*2 + sqrt(28)\/(sqrt(12)\/sqrt(3))).\nAnswer: 64*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 5.1 (c) 0.1 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivv when three letters picked without replacement from {o: 2, q: 4, d: 2, v: 2, i: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) - (-104924216)\/(-56). Let o be (-8 + -4233)*(-434 + 1). Let k = h - o. What is k rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 3*n. Let l be d(3). Suppose l*x = 2*x + 2. Let s be 55\/(-15)*3\/x. What is the greatest common divisor of 99 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - o**2 + 4*o)*(o - o + o)*(-o + o - o**2 + (0*o + 5*o - 3*o)*(-3*o - 8*o + 12*o)).\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 9*l - 3*m - 9, -5*l = 2*m - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 - 14 = 17*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + w = 10, -2*z + z + 23 = 5*w. Suppose z*c - 38 = -j - 15, -4*c - 44 = -j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186682 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/20304 and -41\/80.\nAnswer: 101520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**2 - 435*y - 85. Determine a(-54).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -324625 divided by 9275?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-81)*(16 + (-21)\/3)*-4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4958924*b*z**4 + 5110*b*z**2 + 3*z**4 + 284*z wrt z?\nAnswer: 119014176*b*z + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 9*d + 2. Let j be z(-5). What is the common denominator of (-27)\/j*(-76)\/(-3) and 99\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -2, 4, 51?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 1\/2*x**4 + 0*x**5 + 0*x - 7*x**2 + 0 - 1\/12*x**6 + 0*x**3. What is the second derivative of o(z) wrt z?\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - -8 - (734 + -581).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814*c + 1688*c - 654*c - 1 + 1.\nAnswer: 220*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21470886?\nAnswer: 2, 3, 223, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -51*g**3 + g**2 - 5*g - 4. Suppose -3*u = 12 - 6. What is the hundreds digit of d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1218*q**4\/11 + 2*q**3\/11 = 0. What is q?\nAnswer: 0, 1\/609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 14 - ((-294)\/(-80))\/(477\/(-1908)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -114*h**3 + 48*h**2. Let y(b) = -47*b**3 - b**2 - 3*b + 3. Let u be y(1). Let g(a) = -12*a**3 + 5*a**2. Calculate u*g(j) + 5*k(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 - -12.82. Let x = -3121914 - -3121901.0000032. Let y = x + k. Round y to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + -1011?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-351)\/(-12))\/(555\/(-1480)))\/(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/75 and -10 + (-432)\/(-40) - (-118)\/300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 + 112 = -3*v, -2*u + v + 46445 = 0. List the prime factors of u.\nAnswer: 2, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 62\/5 + 14\/(-35). What is the second derivative of -23*w - 365*w**3 + 365*w**3 + u*w**4 wrt w?\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6701? (a) 0.3 (b) 0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4 = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 - r**4\/6 - r**2 + 10*r. Determine v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192.763 - 193. Let y = 1.263 - l. What is the nearest to y in -2, 0.5, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -120*k**2 - 159*k + 159. Give b(1).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/7)\/(26\/14). Suppose 4*h - 5 + 1 = 0. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 11 = 4*s + 4*c, 2*s + 5*c - 10 = 0. Let z be (4 + s)*(0 - 4). Solve x + 3 = z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18599227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/13*9*-1*(-2)\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*u**2 + 0*u**2 + 51*u**2)*(5*u**2 + 3*u**2 + u + 5*u**2).\nAnswer: 1157*u**4 + 89*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244046 and 154.\nAnswer: 1708322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-433 + 396 + 264)*(2*v + v - 4*v)*(2*v - 5*v + v) as q*v**2 + k + l*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177742 - -177740. Let k = 0.2 - -4.8. Which is the second biggest value? (a) k (b) -0.19 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bea when three letters picked without replacement from {k: 3, a: 9, b: 3, e: 1, y: 2}?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 184529 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: Solve -32493705105625*k**2\/3 + 148208450*k\/3 - 169\/3 = 0 for k.\nAnswer: 13\/5700325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 14*i - 27. Let y be j(-12). Let m(l) = -43*l**3 - l**2 + l - 1. Let n be m(1). Let c = n + 44. Sort y, c, -2 in decreasing order.\nAnswer: c, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = -j - 2, 4*j = -5*f - 6. Let g(i) = -2*i + 9 - 9 + i**2. Determine g(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.12 (b) -1\/4 (c) -129 (d) -2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/135*8*(-10)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 16*o**2 + 11*o - 14. What is the hundreds digit of h(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/5, -0.1, 3, -1892.9, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/7, -0.2, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(6)*-1))**2 + (sqrt(13) + -1)**2 + 3.\nAnswer: -2*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/((-4)\/(-16))*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + 1*(sqrt(176))**2.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 0 + (12686 - (28 - 63)).\nAnswer: 3, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3307*b**2 - 2*b + 2. Let p be x(-1). Suppose 10*d = p + 699. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, v: 1}. What is prob of sequence oooo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-10))\/(2 - 0). Let l be 4\/((1 - r)*-1). Let h = 1.4 - 1. Sort l, h, -0.4.\nAnswer: l, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -31 + 7. Let g(u) = 731*u**2 - 2*u - 17. Is g(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 1778527. Let u(z) = 2*z. Calculate u(n(g)).\nAnswer: -4*g**2 - 3557054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2235600 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m + 9. Let h(j) = -6*j + 10. What is 6*h(p) - 5*r(p)?\nAnswer: -p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiinibniiiiibii. What is prob of sequence in?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44307.564 times 0.03?\nAnswer: -1329.22692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 56094016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3*q**2 + 4)*(0 - 2*q**2 + 0) - q**4 - q**4 - 4*q**4 - 239*q + 239*q - 540*q**4 to the form a*q**3 + z*q + j*q**2 + h*q**4 + n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -76162504 (base 8) to base 13\nAnswer: -34c1660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 11204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:15 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.041639 rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33.5 - -33. Let i be 60\/18*12\/(-10). What is the second smallest value in -5, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2*(-1)\/(-42))\/((-4)\/24)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 9\/(-15))*2970\/(-12). What is the greatest common divisor of 36 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (1 - -5 - (25 + -14)) - (-133 + 114)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26090388 at least as big as 26090385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(20\/28)\/1. What is the highest common divisor of f and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 12:58 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/4*(-2 + -2). Let k be 43\/9 - 6\/h. Let s(n) = -n**3 + 5*n**2 + 1. What is the units digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = -4*l + 16*m + 23, -3*l - m = -14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/4 + t**3\/3 - t**2\/2 - t - 8. Let i(s) = 3*s**3 - 6*s**2 + 5*s + 6. Let c(w) = -i(w) - 4*n(w). Factor c(x).\nAnswer: (x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**5\/60 - 31*o**4\/18 + 7*o**3\/2 - 130*o. Let h(t) = 0. Calculate t.\nAnswer: -63, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aaa + -101b?\nAnswer: -1ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -476 + 672. Suppose 9*d - 2*d - k = 0. Calculate the remainder when 52 is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3, -0.4, -4, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.5 - 10. Let o = 4 + x. Which is the biggest value? (a) -4\/5 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8301?\nAnswer: 3, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 14) to base 9\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1355*i**2 + 5447*i**2 - 1348*i**2 - 1366*i**2 - 1361*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 1 + (1 + 1 + 1)*(3 - 2 + 1))*(0 + 390*x + 0 + 7818*x + 278*x).\nAnswer: 16972*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.022 - -0.022. What is the closest to -2\/13 in 1\/2, k, 2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h. Let s be m(-3). Let p = 17 + -15. Suppose 5*u = t + 7, -5*t + 3*u + p*u = s. Are t and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -3599?\nAnswer: 35a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5927.8 weeks to seconds.\nAnswer: 3585133440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 1. Let p(x) = x**2 + 36*x - 2. Give 4*j(t) + 2*p(t).\nAnswer: 2*t**2 + 68*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-50) - (-2)\/(-7000)*-914. Let w = 1\/250 - u. Which is the second smallest value? (a) w (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0889 rounded to two dps?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 948*d - 5663. Determine b(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-3*u + 6*u - 2*u) + (-1 + 4 - 1)*(-5*u + 2*u + 2*u) + u + 3*u - 5*u + 3*u + 0*u - 7*u + 5*u - 3*u + 11*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 6*w. Let f be m(6). Suppose -2*h = -f - 8. Suppose h*k - 3*b + b = 10, k - 4*b = -1. Put 4, 2, k in decreasing order.\nAnswer: 4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, 2, 53 in decreasing order.\nAnswer: 53, 2, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4 - 1 - 2. Suppose 0*k = -12*k + 24. Suppose 0 = -5*w - k*g - g - 10, 0 = -4*w - 2*g - 8. Let p(v) = -2*v + 1. Calculate w*z(h) + p(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 211820 * 1.\nAnswer: 211820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1577021 + 1577021 - 4*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 9. Suppose -24*x + 21*x + 12 = 0. Let v(p) = -2*p - 10. Give x*w(d) + 3*v(d).\nAnswer: -2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 - 660*l**3 - 35631*l**2 + 73926*l = 0. Calculate l.\nAnswer: -111, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24197*o**3 + o - 3*o - o.\nAnswer: 24197*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/11 + 4948686*r\/11 + 4948688\/11 = 0.\nAnswer: -1, 2474344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 32, -2422, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, 273, -35, -397, -831, -1355, -1987?\nAnswer: -2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 9*f - 4. Determine p(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65831567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Suppose -j + 38 = h*g - 12, -4*j = 4*g - 24. Suppose 3*b - 5 = -d, -b + 5*d + g = 2*b. Solve 2*p - 2 = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 2 (c) -10.2 (d) 1\/9 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -288.87 - -0.2885\nAnswer: -288.5815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.049 or -2\/7?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-4)*-2*44. Let x = 54 + m. Let s(i) = i**2 - i - 4. Let o be s(-4). What is the highest common factor of o and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -41. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*r - 9 = 116*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 7*x - 6. Suppose -30 = 5*y - 10. Let r be n(y). Let w(c) = 969*c - 14. Let g be w(r). What is g rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 2*m + 378 = -2*n, 4*m - 105 = -n. Factor 125*v + 4*v**2 - 40*v + 54*v + 3364 + n*v.\nAnswer: 4*(v + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -382154\/27 or -14154?\nAnswer: -382154\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2. Let p(z) = -74*z**2 + 2. Let y(s) = -10 + 0 - 2 + 13. Let f(j) = p(j) - 2*y(j). Determine f(i(b)).\nAnswer: -296*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162915231?\nAnswer: 3, 233, 233069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*g - 12 + 7*g + 9)*(3*g - 2*g + g) + (-2 + 2 - 5*g**2)*(-6 - 30 + 7) to the form t + q*g + o*g**2 and give o.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(891)) + -3.\nAnswer: -54*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 2. Suppose -17*u + 594 = -14*u. What is the units digit of 5*(u\/15 + j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -6*v**4 - 9*v - 12. Differentiate u(y) with respect to y.\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from yyyyyvyyyyyyyyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.6 - -6. Let o = r + -0.1. Suppose 7*d - 17 = -3. Sort d, o, 0.\nAnswer: 0, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 164 = -149. Solve 3*b = -t, 5*o + 0*b + 2*b + 27 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14574, 28778, 42610, 56070, 69158, 81874, 94218?\nAnswer: 106190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:29 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4*(-3)\/9*(23791 - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 0.202\nAnswer: 5.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + de?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 + 35*w**2 + 10*w + 151. What is g(-7)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 55 = 3*l, -4*a = l + 13 - 3. Let m = 17 - 3. What is the smallest common multiple of m and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -1. Let j = 50 - 30. Suppose 5 + j = -5*i. What is the third biggest value in i, o, 0.05?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5067766 - 84918\nAnswer: -5152684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/292112 and -101\/7667940?\nAnswer: 30671760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 12 = 2*j. Suppose 0 = 3*l - 0*l. Does 16 divide 29 + 0 + l + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, 4, 11 in descending order.\nAnswer: 11, 5, 4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 23.\nAnswer: 29\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 80 = 53 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510379588 to the power of 1\/2, to the nearest integer?\nAnswer: 38864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:55 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(29946\/8372 + 7\/(-2)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388599895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/42*30\/20. Suppose 0 = -t - t. Suppose t = 4*i - 4 + 16. Which is the third smallest value? (a) i (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 11. Let d be u(0). Let n = 16 + d. Suppose 3*m = n*m - 6. Are m and 3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -101. Let p be (10\/v)\/((-8)\/(-32)). Solve -4*d + 8 = -2*k, 4*d = d + p*k - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/(17*144\/(-17952))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -4) + -5 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 206169 and -11.\nAnswer: -2267859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1784*v**2 - 251*v**2 + 1023 - 1023.\nAnswer: 1533*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 - 119*k**2 - 274*k + 58. What is p(26)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -28.1 (b) -0.6 (c) 0.022 (d) 0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -210, -628, -1346, -2514, -4282?\n\"Answer: -25*o**3 - 243*o + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13043 in -2\/9, -0.5, -2\/5, 20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*v + 3*b, -20 + 6 = 5*v - 2*b. Sort v, -4, 0 in descending order.\nAnswer: 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 7. Suppose 0*m = -m + 1, 0 = -4*g + 3*m + 17. Calculate the remainder when y(6) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2153, -80, 289 in descending order.\nAnswer: 2153, 289, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 11:30 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*p + 67 = -212 + 2693 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**3 - 14*c**2 - 10*c - 7. Let s be l(-5). Suppose -3*j + 4*j - s = -5*x, j - 4*x - 559 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.99597 rounded to 2 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 43. Let p(r) be the first derivative of 0*r + o + 0*r**2 - 1\/3*r**3. Let l(i) = -9*i**2. Determine l(p(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17617 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7576443.13 times 4\nAnswer: 30305772.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + w**2 - w + 24. Suppose -5 = -2*g + c, 7*c - 2*c - 17 = -4*g. Suppose -g*n = n. Calculate the remainder when 70 is divided by t(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42055 is divided by 21024.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:05 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1 - (-27 + 18). Let q be (k\/(-6))\/(5\/(-6)). Suppose -q*s + 2 = 0, -2*l - s = -4*l + 165. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 2124740?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -53\/5. Let p(i) = -i**2 - 5*i + 7. Let j be p(-6). Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3790*w**4 + 3125 wrt w?\nAnswer: -15160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y - 2. Let z be 0\/(3\/y) - 9. Which is greater: -7 or z?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -13*f**2\/2 + 164*f + 83. Let h be i(3). Calculate the greatest common factor of 100 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -0.2 (c) 0.4 (d) -3 (e) -1640 (f) 0.2 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*c - 30. Let p = c - -22. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294688 is divided by 1294672?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w**2 + 8*w + 6. Is p(7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20030223 + 330?\nAnswer: -20023233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 1219?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {w: 4, j: 5, i: 1, l: 4, k: 6}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/13 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -25*f - 3 - 26*f + 47*f. Suppose -7*n = -2*n + 10. What is h(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*s**4 - 2134*s**3 - 642*s**2.\nAnswer: 2*s**2*(s - 107)*(10*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47968 and 800.\nAnswer: 1199200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 + 127\/(-5). Let h = -12 - a. Calculate the smallest common multiple of 16 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -670 or -673?\nAnswer: -673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -4 (c) -5 (d) -9473\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -72 (b) -0.062672 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.167 and -35400157.\nAnswer: -35400158.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**2 + 0 - 3*o + 1\/8*o**4 + 1\/20*o**6 + 1\/4*o**3 - 7\/40*o**5. Let f(u) be the first derivative of q(u). Factor f(d).\nAnswer: 3*(d - 1)**2*(4*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 976341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1180 + -835. Let l = 343 - v. What is the nearest to -0.3 in l, -3\/7, 4, -3\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 30*d + 21 to h*d + j and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24198 is divided by 224.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.2 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -202852 at most -202851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 92?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, -8, -31, -66, -113?\n\"Answer: -6*b**2 + 7*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:37 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*g - 618*g + 765 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(55)*1)\/sqrt(5))**2 - sqrt(11)) - ((sqrt(1331) - (1 + sqrt(1331)))*3)**2.\nAnswer: -31 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c90 + -2?\nAnswer: 3c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1564 and 77180?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 28*v - 17 - 15*v + v**2 - 10*v. Let h be f(-6). Let u be 60\/(-54) + h - 4\/(-18). What is the nearest to 2\/5 in u, 0.1, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 165327.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63209 + (2 - 4 - 1). Suppose 2*z = z + w. Let v be z\/8 + (-18)\/24. What is v rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 16. Let i be m(-6). Let f be -4 + 2 + (-62)\/i. Let r = -1\/14 + f. What is the closest to -2 in r, 1, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000110100001110010111 (base 2) to base 9\nAnswer: -4312157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-16778272\nAnswer: -16778272.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-932)\/(-44) + 1 + (-2)\/11. Solve j - g = 5*w, 0 = 14*j - 12*j - 2*w - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o + 3*a - 15 = 0, -2*o + 2*a = -14. Let z(k) = 14*k - 10*k + 2*k**2 - 387 + 381 - 12*k - k**2. Let i be z(o). Solve -2*r + i = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1900245, -1900253, -1900275, -1900317, -1900385, -1900485?\n\"Answer: -o**3 - o**2 + 2*o - 1900245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.06352 kilometers in micrometers?\nAnswer: 25063520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:30 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1125)\/200 - -2*3. What is the nearest to 0.2 in 0.2, -13, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - l**2 - 3*l**2)*(2*l + 3*l - 6*l) + (876*l + 874*l - 1679*l)*(0*l**2 + l**2 - 3*l**2) in the form i*l**3 + x*l**2 + h + a*l and give i.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s - 260. Suppose x - 2*o + 7 + 3 = 0, -4*x - 4*o = s. Let l = 27 + x. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3281636113 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 21, 34, 47, 60, 73?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42643.\nAnswer: 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 90*k. Let t(x) = -80*x**2 + 46*x**2 + 36*x**2. Determine t(n(l)).\nAnswer: 16200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)**(-35)*(n*n\/(n*n\/(n\/(n*(n*n**(1\/2))\/n)*n))*n)**31)\/((n**1*n)**(6\/23)*(n\/n**3)\/n**(-1\/4)) assuming n is positive.\nAnswer: n**(1171\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*v**2 - 1149*v**2 + 83*v**2)*(-3*v**3 - 3*v**2 + 3*v**2).\nAnswer: 3648*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1182 - 1229 - (0 - 24).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, -4, 3 in descending order.\nAnswer: 8, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 318\/(-30) + 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67 and 21.26343?\nAnswer: 1424.64981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 4. Let q be a(4). Suppose 2*w = -2*f + 8, 0 = -3*w + w - f + q. Suppose l + w*l = -2*n + 221, 3*l - 123 = 2*n. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*24\/(-18)*(-1)\/2. Solve 2*b - 2 = -4*d, 9*d - v*d - 7 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6116 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*r*t**2 - 26050*r + 26871*t**2 + 5*t wrt r.\nAnswer: 20*t**2 - 26050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -2\/253381?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278, -4, -2, 5, 4, -10, -5 in descending order.\nAnswer: 5, 4, -2, -4, -5, -10, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -15. Let i = k - -4. Calculate the remainder when 17 is divided by -7 + 19 + i + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*r**6 - 298109*r**3 + r**2 - 3658400 wrt r?\nAnswer: 1800*r**3 - 1788654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -12, 2\/7, -2\/3, 497, 3\/5 in increasing order.\nAnswer: -12, -2\/3, 0.05, 2\/7, 3\/5, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 3*c - 2*o, 0 = -3*c + 2*o + 3. Let m be ((-2)\/c)\/(1\/(-3)). Suppose 11 + 13 = m*i. Calculate the greatest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {a: 3, k: 8, e: 2, t: 4}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -470, -712, -954?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*x - 98*x**2 + 193*x**2 + 4*x**3 + 83 + 37 - 95*x**2.\nAnswer: 4*(x - 3)*(x - 2)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 5. Let m = -858 + 853. Suppose -4*j = 5*j + 18. Let r(s) = -s + 2. Give j*q(t) + m*r(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -3.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/2)*(v**(-6)\/v)\/v)\/(((v*v**4)\/v)\/v*v**5))\/((v**3*v**1)\/(v\/(v\/v**(1\/3)*v)*v\/v**6)) assuming v is positive.\nAnswer: v**(-157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11000000100001 (base 2) to base 14\nAnswer: -46c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 11, i: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1568.3 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*g - 1831 = 3374 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 170*r**3 - r**2. Let n(g) = -g**3. Let w(u) = 6*n(u) + v(u). Let z be w(-1). Is 9 a factor of z\/(-9) + (-1)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 79\/2 of a day?\nAnswer: 948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/5*1419\/(-6). What is the hundreds digit of v\/8*(-2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 7*j - 21 + (-5*j + 2*j + 2*j)*(-159 + 53 - 262).\nAnswer: 375*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 885396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/125 and -51\/489875.\nAnswer: 489875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-122)\/12 + 9)\/(1\/(-42)). Sort w, 3, 0.1 in descending order.\nAnswer: w, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -37*f**2 - 28*f + 12. Let j(w) = 19*w**2 + 14*w - 6. Let x(p) = 2*h(p) + 5*j(p). Is x(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10*p = 30. Let c(f) = 4. Let o(k) = -32247 + 32241 + 2*k + 5*k - 8*k. Give p*c(d) + 4*o(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by -121\nAnswer: -116\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -1\/182 (c) -2 (d) -5 (e) -0.1 (f) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1 (b) 0.4 (c) 151 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*x + 40*x = -4799 - 10321. What is the highest common divisor of 60 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1352595?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511381096?\nAnswer: 2, 63922637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-162)\/(-4)*(-36)\/(-27) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 81*u**2 - 2*u - 1. Let m be x(-1). Suppose -m + 28 = -r. Let o = r - 15. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 134\/3*a**2 + 0 + 0*a - 23*a**3 + 1\/3*a**4 = 0.\nAnswer: 0, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9306 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 38 - 141 - 136 + 5*h - 86 to the form a*h + m and give m.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.683105 rounded to 1 decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**3 - 2*n**3 - n**3)*(-6 + 2 + 2)*(-54*n + 5*n - 18*n) as f*n + w*n**3 + i + s*n**4 + y*n**2 and give s.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3 + 6680*q**2 + 210588*q + 571536 = 0. Calculate q.\nAnswer: -28, -3, 1701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -219 - -222. Suppose 4*a = 4*y + 272, -4*y + 322 = -d*a + 8*a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by -11.\nAnswer: 456\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h. Let t(w) = -2*w. Let d(x) = -f(x) + 2*t(x). Let n(c) = -10*c**2 - 56*c - 31*c - 32*c + 119*c. Calculate d(n(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1)*((-80)\/132)\/10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 0.5 (b) -4\/9 (c) -4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/40)\/((-1)\/15). What is the common denominator of -97\/14 and (p\/(-150))\/(12\/(-130))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/((-7)\/((-98)\/21)) - 0\/(-1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1897*c*k**4 - c*k**2 + 17*c*k + 7*c + 7*k**4 + 3*k**3 + 42*k**2 - 4 wrt k.\nAnswer: -45528*c*k + 168*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57512 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 2\/227 (c) 2.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 (base 15) in base 14?\nAnswer: 15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -527287\/8 + 65911. Determine y, given that y**2 - 1 + 1\/8*y - p*y**3 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*s + 3*s. Let f = 576 + -1059. Let c = f - -482. Is c at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-33)*(9 + 0). Suppose 0 = 2*g + w + 7. Find the common denominator of g\/(-75)*(-530)\/(-8) and -59\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - a - 1. Let b = -6 + 5. Let u be g(b). Suppose -3*q = c + u*q + 10, -3*c + 3*q = -42. Calculate the least common multiple of 6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 + 10 = 0. Suppose g*f = 30 - 3. Let j = f - 7. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11442*s = 10629*s + 5691 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -37, -6, 24, -2 in decreasing order.\nAnswer: 24, 5, -1, -2, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10906.018 - -0.2\nAnswer: -10905.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -b + 13. Let r(i) = 2*i**3 + 2*i**2 + 4. Let x be r(b). Sort x, -5, 14, 0 in increasing order.\nAnswer: -5, x, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 69*w + 37. Let y(i) = -17*i - 9. Let n(c) = -2*b(c) - 9*y(c). Let v(m) be the second derivative of 2*m**3\/3 + m**2 - m. What is 6*n(g) - 22*v(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88160998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 24*u - 96. Let m be (-32)\/(-24) + (-52)\/u. Sort 4, m, 2, 16.\nAnswer: m, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*h - 36, 71 = 2*q + 4*h - 9*h. Let a = q - 17. Suppose a*o - 3*o = 1413. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686406889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -55*j**2 - 1335*j - 360 = 0.\nAnswer: -24, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*-2*4 - ((-2*sqrt(475))**2 + 4) - (sqrt(19)*3 + -2 - -3*(3 + sqrt(19))).\nAnswer: -1911 - 46*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from rvlryvrylryvlrlvtx.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -5. Let d(b) = b**2 + 7*b + 2. Let w be d(x). Solve -p + 20 = 5*u, -w*p - 4*u = -3*p - 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 + -46. What is the remainder when o is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 470\/77 + -25653\/3080. Find the common denominator of d and (-3)\/(-9)*282\/(-28).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210160 + 210160 - 3*r + 113*r**2 + 3*r.\nAnswer: 113*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21783945*0.5\nAnswer: -10891972.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13745\/8 - -1717. Which is the fourth biggest value? (a) 1\/3 (b) l (c) 2\/3 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25280, 200700, 676830, 1604024, 3132636, 5413020?\n\"Answer: 25059*p**3 + p**2 + 4*p + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 19) + 50 + -24 + 0 + 33 + 2\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 97154.87 centuries?\nAnswer: 9715487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 - 2) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/((-5346)\/(-15408)) - (40\/70 - 150\/385)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -11996196?\nAnswer: -11996196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(19) + 1*sqrt(19) - sqrt(19)) - (3 + sqrt(475)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (88 - 42) - 120.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n - 4. Let c = 12 - 17. Let o(d) = 1 - 4*d - 3*d - 4 + 0*d. Calculate c*q(x) + 6*o(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -13 + -4 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212 - -316. What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*b + 2884 = 273*b. Let n(y) = 7*y**3 + 2*y**2 + 13*y + 1. Let m(z) = -10*z**3 - 3*z**2 - 19*z - 1. What is b*n(d) + 5*m(d)?\nAnswer: -d**3 - d**2 - 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2059 and -97.4039.\nAnswer: -2156.4039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + t = 2*t + 11, -2*o = 3*t - 31. Let b = 37 + -30. Is b greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/40 + 13*j**5\/5 + 101*j**4\/8 + 25*j**3 + 25*j**2 - 6. Determine y so that m(y) = 0.\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 3213?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 (base 11) in base 9?\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 193*b**6\/5 - 349*b**4\/6 - 554*b. Find the third derivative of u(t) wrt t.\nAnswer: 27792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*(l**(-1\/4)\/l*l)\/l*l*l)**(-39)\/(((l\/(l\/l**(2\/7)*l*l))\/l)\/(l*l**(-3\/4))*l**(4\/5)*l*l**4) assuming l is positive.\nAnswer: l**(-5218\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**6\/120 + l**5\/15 + 56*l**3\/3 - l + 115. Let m(k) be the third derivative of q(k). Let x(g) = 2*g**2. Determine x(m(i)).\nAnswer: 18*i**4 + 96*i**3 + 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (455\/2)\/(2\/8). Round z to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1 - 12*g**2 - 19*g**2 + 32*g**2. Let o(n) = n**3 - 6*n**2 - 7*n + 9. Suppose b - 4 = -3*b. Let h(c) = b*o(c) + 2*j(c). Determine h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99837283 rounded to the nearest 10000?\nAnswer: 99840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/6)\/((-9)\/132). Let c = f - -74. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**8\/8400 + k**7\/2100 - k**5\/300 - k**4\/120 - 5*k**3\/6 - 4*k. Let w(r) be the second derivative of z(r). Factor w(u).\nAnswer: (u - 1)*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 289\/7?\nAnswer: 289\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 7:15 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1803 + -963.1803. Let n = 963.0882 + k. Round n to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/776 and -101\/4?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 10*a**2 - 7*a**2)*(0 + 0 + 2)*(-3 + 4 + 1)*(-8 + 4*a + 8 - 2 + 2 - a + (-a + 0*a + 0*a)*(6 - 4 - 1)) + (0*a - 5*a + a)*(5*a - 5*a**2 - 5*a).\nAnswer: -124*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 231106787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -10, 1, -1, -30.\nAnswer: -30, -10, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73.026 and 0.9.\nAnswer: -65.7234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 25685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 0*t - 2 + 1\/2*t**2. Let c(n) = -2*n + 4. Let d(j) = -6*j + 14. Let x(a) = 14*c(a) - 4*d(a). Determine x(l(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 345469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -33*k**2 + 31. Let v(o) = -2*o - 32 + 0 + 33*o**2 + 2*o. Let b(r) = -6*h(r) - 7*v(r). What is the first derivative of b(f) wrt f?\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 4908.\nAnswer: 19632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 0?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 13*w + 769*w**2 + 31 - 4*w**3 + 11*w - 24*w.\nAnswer: 2*w**3 + 769*w**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millennium in years?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) + 156\/18. Let v = 0 + p. Let t = -11 + 51. What is the greatest common divisor of v and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5378603 and -27.\nAnswer: 145222281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pym when three letters picked without replacement from mpnepjpppejyej.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 26 = 33 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -41*c**4\/48 - 15*c**3\/8 - c**2\/2 + 295*c. Factor p(h).\nAnswer: -(h + 1)*(41*h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.13 (b) -2.2 (c) -1\/2 (d) 74\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14dc - -4?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**2 - 1. Suppose 43732 = f - 3*c, -174936 = -4*f + 3*c + c. Let i(o) = f*o - 43735*o - 10*o**2. What is i(g(s))?\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -569*o**2 - 557*o**2 + 1363*o**2 + (2*o - 4*o + 4*o)*(-44 + 44 + 5*o) + 5 + 5*o**2 - 5.\nAnswer: 252*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/18 - 604799986\/(-63). What is n rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 6*l**2 - 7*l**2)*(-l + l + 5*l**2) + l**3 - 2*l**4 - l**3.\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppo when three letters picked without replacement from pspizszsop.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-45)\/(-25)) - 6\/2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 3 = 5*j, -4*j - 3 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 2974?\nAnswer: 14870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t - 89*t + 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 31. Let a(s) = -65*s**g - 3*s**2 + 6*s**2 - 4 + 64*s**3 + 3*s. What is the lowest common multiple of a(2) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 240*h. Let b be a(1). Let d be (b\/(-2))\/(12\/18). Let t be d\/28 - (-3)\/7. Is -5 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-8)*z))\/(z**(-2)*z))**(-9)\/((z*z\/(z\/(z\/z**(2\/5)))*z)\/(z**(-2\/3)\/z))**(1\/17) assuming z is positive.\nAnswer: z**(-18424\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2)*h)\/h**(-3)*(h*h**(-4\/3))\/h*h\/h**(-2\/3))**(2\/69) assuming h is positive.\nAnswer: h**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 18 + 10. Suppose 0 = -k - n + 1526, p*k + 4*n = 2*k + 3060. Let a = k - 849. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8)*w)\/w**(-3\/19) assuming w is positive.\nAnswer: w**(119\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794987 is divided by 636.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (816\/20)\/6 - 7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*s**3*y + 70*d*s**3 - 42702*d*s*y + 3*d*s - 2*d + 37635*s**3 wrt s?\nAnswer: -6*d*s*y + 420*d*s + 225810*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 1. Determine a(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 6*t - 3. Let w(k) = 6*k**2 + 14*k + 7. Let r(j) = -7*f(j) - 3*w(j). Suppose 2 + 18 = 4*d. Let y(q) = 0*q - d*q + q. What is y(r(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let y(k) = 17*k - 34*k + 18*k. Calculate u(y(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.25 - -127.75. Which is the closest to 0? (a) 6\/11 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 9, 105, 0.08, -0.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -278 and -14.\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 8:54 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25\/43 (b) -121\/5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107952*q = -107954*q + 6*h + 6 + 2 - 0, -16 = 3*q - 2*h for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/25 and -117\/230.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-14) + (-1071)\/(-441).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 353 + -226. Suppose -24 = -133*a + o*a. Are -1\/13 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 5*s**2 - 5*s + 4. Let g be h(4). Let y = -35 - -39. Solve -f + 3 = g, -4*n - 4*f = -8 + y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4229 and 810314461?\nAnswer: 4229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 277, 1, -5, -2, 5 in decreasing order.\nAnswer: 277, 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0*g - 6*g - 5 + 4*g. Let x = 18 - 22. Give d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/((h**25*h)\/h)*h*h**16*h**(-22)\/(h**(-11)*h) assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*l**5 + 41*l**5 - l**5 - l**2 + l**2 + 2*l**5 - l**5 + l**5 - 2*l**5 + 0*l**2 - 2*l**5 + 0*l**2 + (-1 + 1 - 1)*(-3*l**5 + l**5 + 4*l**5).\nAnswer: 92*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5674472*x**5 + 8*x**3 - 16522*x**2 + 1776 wrt x.\nAnswer: 340468320*x**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - -1?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 - -110210?\nAnswer: 103213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*w + 3 + 1, 4*i = -5*w + 3. Suppose 8 = t + 4*q - 3, -i*t - 2*q = -10. Solve 0 = -t*a + a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y. Let l(f) be the second derivative of f**4\/2 + f**3 + 1933*f. What is l(w(c))?\nAnswer: 216*c**2 + 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19393.\nAnswer: 11, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105107 - -248597. Suppose -726510 = 3*i + r. Round i to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-856)*-6)\/((-25)\/(2550\/153)).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 947.4358kg in milligrams?\nAnswer: 947435800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.21 + 0.11. Let q = 0.02 - s. Let f = -3 + 2.8. Which is the nearest to 2\/7? (a) -4 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 63*q - 80. Let x(s) be the second derivative of 0 + 0*s**4 + 0*s**2 - q*s - 1\/130*s**5 + 1\/39*s**3. Factor x(n).\nAnswer: -2*n*(n - 1)*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 97268*v**2 + 389024*v - 389008.\nAnswer: 4*(v - 24313)*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**3 + 5*s. Let j(r) = 3*r**3 - r**2 + 2*r. Let z(i) = 2*i**3 - i**2 + i. Let l(m) = -j(m) + z(m). Calculate -2*l(f) - v(f).\nAnswer: -6*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -10 - ((-11008)\/80 + 4\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**8\/96 - 13*q**7\/210 - 3*q**6\/20 + 13*q**5\/15 + 2*q**4\/3 + 5455*q**2. Let w(b) = 0. Calculate b.\nAnswer: -2, -2\/7, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1889854521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.839 and 50?\nAnswer: -691.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -1513*i**4\/12 + 139*i**3\/3 - 5*i**2\/2 + 1894*i. What is the second derivative of t(d) wrt d?\nAnswer: -3026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-420)*5525\/170.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**3 + 5*x**2 - x - 5. Let n(g) = g**3 - g**2 + g + 1. Let j(t) = n(t) + v(t). Let i(q) = 7*q**3 - 5*q**2 + 5. Calculate -4*i(w) - 5*j(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*10\/(-5) - (-653)\/(-653)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/15843 - -301121\/823836. Let f = -8\/13 + x. Let w = 9 + -9.4. Which is the closest to f? (a) -2 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*m + 20*m**2 + m - 3*m**2 - 9*m**2 - 5*m**2 as p*m + v*m**2 + j and give p.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1572116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 11*z - 18. Give q(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4936, -19666, -44208, -78556, -122704, -176646?\n\"Answer: r**3 - 4912*r**2 - r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*a - 62*a + 12960 = 555*a + 46*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**5\/10 + a**4\/12 + a**3\/2 + 3*a**2 + 7*a. What is the lowest common multiple of 22 and g(-2)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 100*f + 1962. Calculate the remainder when 1905 is divided by t(-75).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-10) + 4\/10. Suppose -7*i = -t*i - 130. Let p = i - 12. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3418 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 5. Let v = -1107 - -1099. Let s(l) = l - 1. Let p(d) = -10*d - 9. Let y(r) = -p(r) + s(r). Give v*i(f) - 5*y(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011001 + -100101101010?\nAnswer: -100000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 5:36 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, b: 1, z: 3, x: 4, p: 1}. What is prob of sequence wxp?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**6\/39 - 8*h**5\/65 + 2*h**4\/13 + 4*h**3\/39 - 5*h**2\/13 + 4*h\/13 - 3. Find c, given that p(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 - 9*h + 6. What is the remainder when y(7) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 19. What is the closest to -0.2 in h, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 85*x + 4 - 72*x - 6 - 2*x**3 to the form t*x**3 + m*x + r + o*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24665971 and -0.3.\nAnswer: 7399791.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -126.4 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 58?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*a = 25, -3*m - 2*m + a = -7. Suppose -2*k - 3*d = -10, 2*k - 10 = -0*k + 5*d. Let f be (k\/4)\/((-31)\/(-124)). Solve 3*j + m*j = f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 3*s**2 - 5*s - 21. Give l(5).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 3.9434.\nAnswer: 8.9434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodooddddoodddfof. Give prob of picking 2 o.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -30*m + 11. Let r(z) = -7*z + 3. Let g(u) = -2*n(u) + 9*r(u). Let y(o) = -1. What is g(h) + 2*y(h)?\nAnswer: -3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.26 - 11532253?\nAnswer: -11532210.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 35841*i + 35842*i = 9, 5*c = -i + 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-3) - (-1 + 1). Let i = c + 12. Suppose 2*p - 10 = -3*h + i*h, 0 = -3*p + 3*h + 18. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 771\/4 - 956\/5. What is the common denominator of g and -149\/144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p + 2*p. Suppose -6 = -p*c, -2*w - c + 4 = -2*c. Suppose 5*o + 2*z = 37, z - 17 - 24 = -5*o. Solve w*s + 28 = 4*t + o, 4*t = 2*s + 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z - 19. Let u(g) = -12*g - 38. Let r(a) = -7*h(a) + 3*u(a). What is the first derivative of r(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + (-2 + -11 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/60 - 5*p**3\/6 + 2*p**2 + 9. Let h(d) = -2*d**2 - 16. What is 5*h(w) - 16*r(w)?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 15 = 2*b. Suppose 6 + 4 = b*a. Solve -9*i**2 + 8*i**a + 0*i**3 + i**3 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 - 122221?\nAnswer: -121231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 390\/156*4\/(-10)*(-77)\/49\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (35 + -19 - 41 - 12)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3770 is divided by 1243.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 - -111. Find the common denominator of -83\/10 and -4 - 32\/w*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {w: 1, g: 1, d: 1, u: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 4.02\nAnswer: -12.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 38. Solve 30 = z*h - 9*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 11. Let t be w(-6). Let a(c) be the first derivative of c**3\/3 + 3*c**2 + 10*c - 58. Let o be a(t). Solve -5 = -y - 4*b, -y + 2*b = b - o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 9*u**2 - 11*u - 60. Let a be w(-8). Solve a = -21*q - 25*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 23*x + 145. Let y be p(17). Let d = y + 132. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 8, -1\/2, 2\/41, 0.38, 16\/23?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or 1\/19?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6795)\/(-1812))\/(2\/(-8)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, -40, 0.1, 5, -38?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1638\/(-390)*5\/(-8))\/((-12)\/16)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5745558449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*v - 5502 = 0, 0*c - 3*v = c - 1358. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71360, 71368, 71382, 71402, 71428, 71460, 71498?\nAnswer: 71542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (0 + (-1 + sqrt(931) - sqrt(931)))**2) + (sqrt(931) - (-2*sqrt(931) + 1))**2.\nAnswer: -35*sqrt(19) + 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-13))\/(-12)*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-9)\/(-54)*0. Let s be ((2647 + 1)\/(-4))\/513. Let k = s - -32\/27. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1692 - 1662 = 0, -p + 10 = 4*k. Let b be (1\/2)\/((-1)\/(-6)). Solve -q = -b*y + k, -2*y - q = -6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 23585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -64de (base 15) in base 12?\nAnswer: -1043b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-810)\/126)\/(825\/105 + -8).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, q: 1, o: 5, u: 1}. What is prob of sequence fu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, -4, 2, 1 in increasing order.\nAnswer: -4, 1, 2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35681353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**3 - 5*u**2 + 10*u - 11. Let z(r) = 6*r**3 - 4*r**2 + 11*r - 11. Let m(o) = 7*x(o) - 6*z(o). Is m(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*(-39)\/26?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66123 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/2)\/((-3045)\/3654)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6072 and 339064?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-four fifths of a millennium?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v*v)**(3\/26)*(v\/v**(-3\/5))\/v*v\/v**(-5\/2)*(v**0*v)**(-10)\/((v*v**(1\/4))\/v**(-4\/7)) assuming v is positive.\nAnswer: v**(-13633\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = 10*z - 82. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -0.2, 16874, 0.1, 4\/3, 6 in increasing order.\nAnswer: -130, -0.2, 0.1, 4\/3, 6, 16874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 441 - 369 - 168*f - 954.\nAnswer: -4*(f + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86401 and 1080.\nAnswer: 93313080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -205621 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1054? (a) 8 (b) 1 (c) -0.1 (d) -10 (e) 1\/4 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/100*-15*-4*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2049*p**3*y + 5*p*y**3 + 5*y**3 - 175 wrt p.\nAnswer: 6147*p**2*y + 5*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11716 is divided by 287.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 13, a: 3}. Give prob of sequence qa.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(130) + sqrt(130)*-1*5)\/((sqrt(640) - -3*-1*sqrt(640))*6).\nAnswer: -5*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/3 + 560*r**2\/3 - 1127*r\/3 - 562 = 0.\nAnswer: -562, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*s + 8 = 179*s. Sort 17, 2, s, -8 in increasing order.\nAnswer: -8, s, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59, 43, 145, 247, 349, 451?\n\"Answer: 102*h - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -289.2 + -41.8. Let d = -330.909 - x. Round d to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 7\/37, -74.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyseyyxysxyyyxyggs. Give prob of picking 1 g, 1 s, 1 y, and 1 x.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*l - 7*k + 606, 5*k = 2*l - 429. Let i = l - 202. Solve 4*t = -4*q + 10 + 2, -3*t + 15 = i*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 4 (c) 16 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*y**3 - 5*y**4 + 7*y**3)*(-2 + 3 + 0)*(-50 + 121 - 28) as p + f*y**2 + i*y + c*y**3 + q*y**4 and give q.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/(-35))\/(1 - 16\/15). Let a be 1\/3*i*(-24)\/(-6). Solve -2*x - 2*x + 2*w = -8, -3*x + a = -3*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17346*c*q**2 - 2*c*q - 9536*c wrt q?\nAnswer: 34692*c*q - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 8:12 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 7*j**2 - 5*j + 5. Let l(v) = -3*v + 24. Let z be l(10). Let x be n(z). Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 13*k**2 + k - 5. Let a be n(13). Let o(g) = -2*g - 6. What is o(a)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -15*t - 65. Let h = -18 - t. Let d(s) = s**2 + 6*s + 3. Determine d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 + 10*j**2 - 57*j**2)*(0 + 0 + j).\nAnswer: -42*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffmf when four letters picked without replacement from mffmfmfffmf?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111001110101011011001 (base 2) in base 8?\nAnswer: -47165331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6683 - -0.0483. Let h = x - 0.38. Let l = -6 + 2. Which is the nearest to l? (a) 1 (b) 1\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1751490106 rounded to five dps?\nAnswer: -0.17515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/3, 307901, 1 in descending order.\nAnswer: 307901, 1, 2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4300881443.\nAnswer: 37, 116240039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -997 (base 11) in base 15?\nAnswer: -54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*119\/(-34) - -13. Let n(m) = 5*m**3 - 8*m - 32. Let a(b) = -b**3 + b. Determine y*a(w) + n(w).\nAnswer: -w**3 - 2*w - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8498 divide 1140958476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 34*t + 143. Let s be n(-7). Solve -4*a = -5 - s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14263 and 1621365.\nAnswer: 1607102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1474648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 + -141. What is the nearest to 0.1 in y, 1\/2, 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -15 - 28) + 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d*q**2 + 1244*d*q + 85*d + 148*q**2 + 64847*q wrt d?\nAnswer: -q**2 + 1244*q + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121533 (base 6) in base 5?\nAnswer: 321120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 - -12497?\nAnswer: 124ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 87*r - 2171. Let i be j(25). Sort -3, 2, i, -2, -60.\nAnswer: -60, -3, -2, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -649.17 - -654. Let g = v + -1.13. Let f = g - -1. Round f to 1 dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-78 + -70)\/((-1)\/(13 + -2)). Calculate the greatest common factor of o and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6032 and 104?\nAnswer: 6032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 40*j = -42*j + 12, j = 4*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784452270?\nAnswer: 2, 5, 43, 4149889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/24)\/((-637)\/(-588))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584648826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158371*g**3*r**3 + 2*g**2*r**3 + 22724*g**2 wrt g.\nAnswer: 950226*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 3:10 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2 + (sqrt(243) - (sqrt(243) - (sqrt(243) + (sqrt(243) - (sqrt(243) + -5)) + -5))))*-3 + 4) + 2)**2.\nAnswer: -648*sqrt(3) + 2331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17996a - -4?\nAnswer: 179971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16610226.\nAnswer: 2, 3, 2768371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*v**4 + 2*v**3 - 104*v + 2 wrt v?\nAnswer: 180*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = 0, 0*c = 5*x + 3*c - 284. Solve -s - 63 + x = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*j + 52, -n + 3 = -8*j + 7*j. Let m be 14\/8 + (-4)\/(-16). Let f be (-10 - -38)*1*m. Calculate the greatest common factor of f and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.68? (a) 0.3 (b) -3\/5 (c) -3165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(17) + sqrt(34)\/sqrt(2) - (sqrt(34) + sqrt(136)\/sqrt(4) + sqrt(34))\/sqrt(2)) + 3.\nAnswer: -sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321552640 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46482.9999922012 - 46483. Round f to 7 decimal places.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -72730230.\nAnswer: -1\/36365115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 191321832 a multiple of 1963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/15)\/((-1)\/(-3)). Suppose 0 = -5*u - 0*m + m + 24, 7 = u + z*m. Solve -5*j + 5*g + u = 0, 0 = -4*j - 4*g - 0*g + 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3 (c) 263 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 4*j + 4*d, 8*d + 746 = 5*j + 534 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/1848*-14)\/((-6)\/(-15)*(-10)\/(-632))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 3, c: 1, d: 2}. What is prob of sequence dic?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 4:10 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275.614 + -276. Let o = h + 0.47. What is o rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 3*f**2 + 13*f - 12*f)*(0 + 0 - 2*f**3).\nAnswer: -2*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*o**3 - 29*o**3 - 12*o**3 + (-2*o + 3 - 3)*(2*o**2 + 2 - 2) + 0*o**3 + 3*o**3 + 2*o**3.\nAnswer: -87*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - t**2 - t + 2. Let k be b(0). Suppose -k*m = m - 21. Suppose 5*l = -r + 17, 4*r + 3*l = m*l + 20. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3243515 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -116.\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j*j*j*j**(1\/3))\/(j*(j**(5\/4)\/j)\/j*(j\/j**(-14))\/j) assuming j is positive.\nAnswer: j**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10829 + 10830. Which is smaller: -41 or y?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 141.\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -2*a**4\/3 + 2*a. Let o = 101 - 95. Let r(d) = 5*d**2 - 2*d**2 - o*d**2 + 4*d**2. Give x(r(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:54 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:00 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4114931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.2. Let u = 0.1 + i. Let n(j) = j**3 + 13*j**2 + 22*j + 2. Let g be n(-11). Sort u, -1\/5, g.\nAnswer: -1\/5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.32 (c) 2 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -9313906\/9*q**3 + 4680722\/9*q**2 - 34544\/9*q**4 + 64800 + 453840*q - 32\/9*q**5 = 0?\nAnswer: -540, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2882 - 0.1118. Let r be (5\/(-55))\/((-1)\/2). Which is the nearest to -0.1? (a) d (b) r (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - m + m + 80*m**5 - 10*m**5 + 13*m**5 + (0*m**5 + m**5 + 0*m**5)*(2 - 3 + 2).\nAnswer: 83*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*h + 69 = -206, 0 = 3*h. Suppose u = -48 + d. Suppose 0*g - u*g = -812. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*k - 28, -3*d + 91*k + 32 = 86*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 6*u**2 + u + 6. Let l be g(6). Calculate the highest common factor of l and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 299534?\nAnswer: -1\/299534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 28. Suppose i*k - 100*k - 18 = 0. Solve -k*u = u + 4, 2*u + 6 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(13)*-2*2 - (-4 + 0 + sqrt(117))**2.\nAnswer: -133 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, -47, -63, -85?\n\"Answer: -3*o**2 - o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Simplify (-1 + (-3 + -5*(0 + sqrt(637)) - -6*sqrt(637)*1*1))**2.\nAnswer: -56*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.005 - 0.187. Let y = -0.2 - b. Let k = 0.602 - y. Round k to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 12. Let w be (38 - (-4)\/g) + 0. Let o = w + -25. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 + -9 + -4*1. What are the prime factors of d\/(-42)*(31 - 1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18088 and 33.\nAnswer: -596904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*h - 14. Let r = h + 16. What is the greatest common divisor of r and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 82, 92, 102, 112?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 2*sqrt(1280))\/(sqrt(40)\/(sqrt(4) + sqrt(4)*-4)).\nAnswer: -51*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -129. Solve 0*b + 3*b - l*u = 2, b + 3*u - 10 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h + 10*h + 4 - 5*h as x + u*h and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-52)\/(-12) + (-92)\/6. Let i(d) = -238*d**3 - 19*d**2 - d. Let u be i(g). Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801762 to the power of 1\/2, to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 42. What is the remainder when u(0) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 3*n - 480. Let t(f) = 3*f - 1. Let y be t(-2). Let m = y - -39. What is the greatest common factor of m and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 = -3*n + n, 4*r = -8. Suppose 5*z + 3*o - n - 92 = 0, 5*o - 30 = -2*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 966 = 24*c. Suppose -5*s + 568 = -c. What are the prime factors of s?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6530, 10682, 14834?\n\"Answer: 4152*p + 2378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*f - 86 = 234. Suppose 0*p - 2*p = 0. Factor 2\/7*c**3 - 2\/7*c**f + p*c + 0.\nAnswer: 2*c**2*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-40)*(2850\/540)\/19.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 17. 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: Calculate prob of sequence kkz when three letters picked without replacement from kkkkkzzkkkkkkkkkkz.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 89212 + 2902. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.91 - 0.91. Let l = w - 24. Which is the third biggest value? (a) 26 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 970 and 5970?\nAnswer: 579090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) + (sqrt(245) - (sqrt(245) - (-2*sqrt(245) + 1))))) + (sqrt(245)*4 - sqrt(245)) + -3)**2*2 + -1.\nAnswer: -560*sqrt(5) + 12281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4 - -1) + 2 + 0)*(-80)\/40. Which is the second biggest value? (a) n (b) 4 (c) 0.1 (d) -2\/5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x**(-1)*x)\/x))**(-36)*(x*x**(2\/67)*x*x)**40 assuming x is positive.\nAnswer: x**(884\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -43, -84, -151, -250?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1\/q)\/q)**20*((q\/(q*q\/q**(-2\/5)))\/q)**(-4\/9)*(((q*q**0)\/q)\/q*q)**29\/(q**(1\/3))**(2\/121) assuming q is positive.\nAnswer: q**(642\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, 2, 98446 in decreasing order.\nAnswer: 98446, 15, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 995 a factor of 17517970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1) + (-10 - -11). Which is the second biggest value? (a) 0 (b) -0.06 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17923.\nAnswer: 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/243*2*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -99 (b) -89\/15 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/6 + (-2)\/(-3). Suppose 2*f - 3 = q. Factor 4*z**5 + 3*z - 8*z**f - 2*z**5 - z - 8*z**2 + 12*z**3.\nAnswer: 2*z*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101011010 (base 2) to base 11\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 63241.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaaiaaaaaaaaaaaaaa?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 11:36 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*v - 483, -13*v + 590 = -8*v - d. Differentiate 57*n - 109*n - v + 24*n**2 + 49*n with respect to n.\nAnswer: 48*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -797331 <= -797345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/35046 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1853.58 - -1816. Let d = c - -37. Let f = d - -0.58116. Round f to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*t + 3*b - 29, t + 11 = 46*b - 21*b - 22*b + 88 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.01 < 11008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = -28*q - 521. Solve 0 = 3*y + q*b + 15, -y - 4*b = -2*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3690 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 42*t**2 + t + 4. Suppose 2*d + d = 105. What is the remainder when r(2) is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**7\/15 - k**5\/5 - 129*k**3 - 5*k**2 - 56. What is the derivative of u(r) wrt r?\nAnswer: 56*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 2*n**2 + 33 - 30 + 4*n + 2*n**2. Let m be o(-3). List the prime factors of m\/2 - (-1 + 1\/(-1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 12*z + 10*z + (-3*z + 6*z - z)*(38 - 227 + 89 - 275).\nAnswer: -730*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.2 + 0.8. Let p = 14 - h. Which is the second biggest value? (a) 2\/3 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 128?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148099 divided by -25?\nAnswer: 1148099\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -587, -2709, -6251, -11213, -17595, -25397, -34619?\n\"Answer: -710*c**2 + 8*c + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 1. Let u be v(-4). Let s = u + 1. Let o = s - 2. Which is the closest to 0? (a) 0 (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416568 and 52071.\nAnswer: 416568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 7*c**2 - 6*c + 3. Let y be b(6). Suppose 9 = y*l - 6, 5*d = l - 5. Let u be 3\/((-9)\/(-6))*(5 - 3). Solve 4*p + 0*p + u = d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (-3 + (4 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -19. Suppose -v = -j + 13. Solve -3*f = -5*h - 0 - j, h = 5*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/7)\/((-1)\/(19\/((-494)\/(-91))))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvff when four letters picked without replacement from vkmmmmvff?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 56?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15600 = 292*x - 342*x + 166*x + 274*x for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77582989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2421 - 1655. List the prime factors of b.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2\/(-3)) - -2. Suppose k + 49 = c*a - 2*k, -4*a = 3*k - 50. Suppose -275 = -0*h - 5*h. Calculate the highest common divisor of h and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*i**3 + 374 - 374)*(-5*i**2 + 3*i**2 + 1 + 2).\nAnswer: -310*i**5 + 465*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -89. Let s = -35 + t. Let z = 0 + -1. Sort s, 1\/3, z in descending order.\nAnswer: s, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {m: 1, v: 1, f: 3, p: 11, o: 2, e: 1}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 210, 313, 414?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, d: 2}. What is prob of sequence ad?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 5*r + 0*r)*(-3 - 2*r + 3) + 2*r**2 + 2*r**2 - 6*r**2 - 3*r**2 + 7*r**2 - 3*r**2 + 1 + 2*r**2 - 1 - 12*r**2 + 9 + 16*r**2 - 5*r**2.\nAnswer: -4*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqsnsuunsqnens. What is prob of picking 1 q and 2 n?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2478, -3577, -4678, -5781, -6886?\n\"Answer: -n**2 - 1096*n - 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddod when four letters picked without replacement from zdokbokozkzkddbkzz?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 4*j - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -225 and -0.3.\nAnswer: 67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250133.5933 - -2274.9.\nAnswer: 252408.4933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 0 + -9 + 18321\/3152. Which is bigger: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40588, 40496, 40352, 40162, 39932, 39668, 39376, 39062?\nAnswer: 38732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.17879 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*n - 249*n + 7476 = -57*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -734, -753, -802, -893, -1038, -1249?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -276, -596, -1054, -1656, -2408?\nAnswer: -3316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0*h**3 - 129*h + 0*h**2 + 69\/4*h**4 + 2. Let d(a) = -2*a. Give r(d(x)).\nAnswer: 828*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 113\/6 - (-7)\/42. Is 19 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9870329*q**4 + 5696277*q wrt q?\nAnswer: -118443948*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31400047 is divided by 67?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 10 - 2) + -1. Find the second derivative of -q - 5*q**4 + b*q**4 - 3*q**5 wrt q.\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 1424544.\nAnswer: 1424544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -22*b**2 + b - 15461 - 15466 + 30928. Suppose 0 = -4*c - 8 + 4. What is j(c)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3749.\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*x - 364*x + 5*q = -27, -36 = -31*x + q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*i = -399*i + 4*n - 72, 2*n = 33*i - 454. Let k be (-1 + 5)*62\/(-4). Let u = -6 - k. What is the greatest common factor of u and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 2*s**4\/3 - 2*s**3 + 11*s**2. Find the first derivative of d(t) wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7985*y + 70. Let k(r) = -363*r - 3. Give 45*k(m) + 2*t(m).\nAnswer: -365*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -82263 bigger than -91208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 17*s - 7. Give i(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-1*6*4)\/(2*sqrt(6)*-6 + sqrt(30)\/(1*sqrt(5))).\nAnswer: 24*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + 3. Let b be (-2)\/(-3) + (-510)\/(-18). Suppose y*j - b*j = -23. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -366*k + 2193. What is n(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10245 + 4*o + 4*o + 10239.\nAnswer: 8*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1026, -2048, -3066, -4080, -5090, -6096?\n\"Answer: 2*j**2 - 1028*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -0.2, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1163 + 0.54\nAnswer: 0.4237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 2*x - 68. Let d be v(9). Suppose o - 3*s = 3, 3 - 1 = 5*o - 2*s. Put -4, o, d, -2 in decreasing order.\nAnswer: o, -2, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -506 at least as big as -96567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152.8 - -153. Sort 0, 0.3, z, -5 in descending order.\nAnswer: 0.3, z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a4c3 - 4?\nAnswer: 2a4bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:15 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2235 + 6034. Is a a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*c - 7. Suppose -2*t - 4*a = 0, 1 = 2*t + a + 2*a. Find the second derivative of -c*l**5 + 3*l - 7*l**t + 7*l**2 wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 749342 + -1134342. What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571845 is divided by 281?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313899?\nAnswer: 3, 19, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 412\/289915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 809309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10185861*3.\nAnswer: -30557583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*s - b, -3*s + 2 + 4 = 5*b. Sort -2, -3, s.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/10, 0, 0.2, -59163, 0.4, -5, 45?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.7 at least -1197191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0 + 0*o**3 + 0*o + o**2 + 13\/8*o**4. Let g(b) = -11*b. Determine 18*g(q) + 5*p(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16352889*a**3*p**4 + 31*a**3*p**2 - 4*a**3 - 12*a**2*p**2 + 585*a**2*p + 2*a*p - 5*p**5 wrt p?\nAnswer: 392469336*a**3*p - 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118089 is divided by 594?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t - 90. Suppose -z = -34*j + 33*j + 17, -3*j = 3*z + 57. Determine f(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -9b7446?\nAnswer: -9b7447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 546433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/(-21) + (-1)\/3. Let n(x) = 2*x + 1. Let r be n(-1). Is ((z - 37) + 0)*r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/((5024\/448)\/157).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 6301, -0.1, 1, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Let a = b - 0. Solve 5*l - 14 - 12 = a*k, -3*k = -4*l + 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 962 = -3*g + 7*g, x + 5*g = 328. Let y(v) = -x + v + 318. Let o(i) = 3*i. What is -o(b) + 4*y(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -4, 7\/3, -103?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1953 + 474580\/243. Let n = f - 4639\/5346. Let m = n + 4\/11. Is 0.3 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 + 2 = -5*c, 3*c = 4*z - 16. Let m(w) = 3*w - 6. Let x be m(z). Solve -a - 2*a = x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let a(d) = 9*d**2 - 16*d + 56. Is a(8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 3*i**2 - 5*i. Let x be l(-4). Solve -x*h + 0*h - 18 = -5*f, h = 2*f - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84) + 2*sqrt(84) + sqrt(84))*-3 - (sqrt(84) - -2*sqrt(84))*1)\/(sqrt(300) - (sqrt(300)*-1 + sqrt(300))*4).\nAnswer: -18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 13. Suppose 0 - 4 = -4*g - 2*f, 5*g + 5 = -5*f. Calculate the remainder when g is divided by q\/(-6) - (-1 + (-2)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11978987 - -66592.91?\nAnswer: 12045579.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668210 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from ssvspsvsfssps?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2 + s**2 - 6 + 1. Let l = 1 + -1. Suppose -2*o + 4*o = l. Calculate k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/267, 0, -3, -2 in ascending order.\nAnswer: -3, -2, -1\/267, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 26 - 34 + 11 - a + 20. What is the units digit of y(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - b + 77 - 156 = 0, 0 = t + 4*b - 7. Solve -22*r + 20*r + 3 = 3*w, 5*r = 4*w + t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6630 to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*h + 28, -27*i - 36 = 8*h - 26*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147703203.\nAnswer: 1147703203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t + 3*t + (0 - 2 + 3)*(2*t + 4*t - 4*t) + t + 2 - 2 + t - 2*t + 4*t + 2*t + 1 - 1 - 5*t - t + 3*t + (t + 0*t - 3*t)*(-3 - 2 + 3).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*h + 246*h + 2700 - 2700.\nAnswer: 340*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*w = 3*u + 188, -4*u + 3*w - 188 = 0. Let j = -37 - u. Let z = 12 - j. Solve -5*t - z = -6*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 f when four letters picked without replacement from nrnnpookpooffn?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + g**2 + g. Let j = -8 - -3. Let z(h) = -h**2 - 6*h - 7. Let n be z(j). What is the smallest common multiple of 10 and c(n)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*j - 118, 5*j - 6 - 9 = 0. What is the remainder when b is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6148787\nAnswer: -1\/6148787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -39*b + 19. Let v(l) = 38*l - 17. Determine 6*t(f) + 7*v(f).\nAnswer: 32*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 14*i - 22. Let q be 25 + -22 - (i - 2)\/(-3). Solve -4*t + 1 = 4*w + 5, -2*t - q*w = 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 10:00 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -7. Let c be -6 - 52\/65*-10. Let b(u) = 4 + u**c + 2*u + 2 - a. Determine b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40660\/(-2000) + 21 - 12\/16.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332.686 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus -158807286?\nAnswer: -158807274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2949682 = -1838*d + 1833*d + l, -3*d = l - 1769814. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1643 - 677 = -2*x, -5*n + 1210 = -5*x. Let c = n + -2649\/11. Determine a, given that -2\/11*a**2 - 4\/11*a - c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 16, 5*d - 5 = -3*j - 2*j. Let q(c) = -c - 1 - 6 + 3. What is q(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -28*c + 954. Let y be f(20). Calculate the greatest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.2, 1\/4, 5 in ascending order.\nAnswer: -2\/7, 0.2, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-35) + 20\/7. Let z(t) be the first derivative of -8\/21*t**o - 1\/7*t**2 + 0*t + 1. Let z(m) = 0. Calculate m.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4769000 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = i + 1, -4*i - o = 4*o - 41. Suppose -13*j + 2*j - 154 = 0. List the prime factors of 4\/i + (-178)\/j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*u - 410, 39*q = -5*u + 42*q + 1027. Let c = -35 - -104. Calculate the remainder when u is divided by c.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 25 = -5*r. Suppose -16361 = -3*t + r*a, -2*t + a = -6965 - 3934. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5939206 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4\/14 - (-7)\/49*53?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79.198 - 0.198. Let f = 74 - z. Let m = 2\/27 + 23\/54. Which is the closest to m? (a) -13 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -37, 4, 5 in decreasing order.\nAnswer: 5, 4, -30, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -241419, -482849, -724279?\n\"Answer: -241430*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 + -4. Let v = -0.3 - l. Let y = 3428 + -3423. What is the closest to v in y, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (89 - 8\/(-8))*11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2712 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(-7*(-20)\/(-2100)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 263 - 185. Suppose v + 34 = j - 2*v, n = 3*j + 3*v. Suppose 88*f + 176*f = 1848. What is the highest common divisor of f and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 5*i = -2*u - 82, -5*u + 88 = -i. Let z(l) = u + 21 - 27 + l. Calculate z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(2112) - sqrt(2112)) + sqrt(2112))*3 + sqrt(2112))\/(((-2*sqrt(12))\/sqrt(4) - sqrt(3)) + sqrt(3) + sqrt(3)*2*-3).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 37 = -4*u, 354 - 159 = -5*u + 155 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -87 + 6\/4 + 33\/(-6). Let y(q) = -3*q**3 - 5*q**2 + 3*q + 5. Let d be y(6). List the prime factors of d\/f - (-4)\/26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 377*l**4 + 2*l**3 - 6*l**2 + 276. Let w(z) = 376*z**4 + 3*z**3 - 9*z**2 + 277. Let n(y) = -3*b(y) + 2*w(y). Differentiate n(j) with respect to j.\nAnswer: -1516*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -25, 9?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 4*j**2 - 12*j + 15. Let y be c(7). Let l be 1573\/y - (-2)\/(-12). Suppose 0 = 21*m - 26*m + l. Solve -5*s + 2*v = 5, v + m*v - 29 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.9? (a) -0.4 (b) -6 (c) -25.2 (d) 1\/8 (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140920 is divided by 481?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 1\/8, 4, 1\/3 in increasing order.\nAnswer: 1\/8, 1\/3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2094)\/(-8)*(-64)\/(-24). Let n = v - 375. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12888295 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*12\/(-10)*((-22960)\/42)\/(-41).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t = -34*t + 73 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(-23))*q*q\/(q*q**(6\/19)*q))\/(q**9)**(-18) assuming q is positive.\nAnswer: q**(2654\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7433564 decades to millennia.\nAnswer: 0.007433564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142.3 + 175. Let g = s + -31. Let h = g - 2. Do h and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1201793, 1201808, 1201839, 1201892, 1201973, 1202088, 1202243?\nAnswer: 1202444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(7 - (-1144)\/(-160)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76271286.49525062 + -76263975.3194. Let m = k - 7302.17585. Let u = -9 + m. Round u to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25 + 1.4. Let p = z - 0.15. Is -61 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -16, -21, -26, -31, -36?\n\"Answer: -5*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -2. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 174\/(-15) + (-2)\/5. Let c be (-1)\/(-6) + (-58)\/d. Let q(w) = -w - 1. Let t(n) = -4*n - 6. Give c*q(f) - t(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -2) + (2 + 2 - (-39 + 69 - 25))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2.05 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 297 = -6*a. Let k = 68 - a. Let i = -15 - k. What is the least common multiple of i and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17540 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 30\/(-8). Let q(i) = -7*i**3 - i**2. Let w be q(-1). Differentiate 66*o**n - 2 - 61*o**4 + w wrt o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**3\/2 + 3*b**2\/2 + 9*b - 5. Let v(t) be the first derivative of u(t). Give v(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000371017 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 - -184. Calculate the lowest common multiple of 7 and ((-3)\/y*3)\/(1\/(-18)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2744334, 5488633, 8232932?\nAnswer: 10977231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c = 0. Suppose 20*b - 17*b = 12. Solve -b*r - 20 = -c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2498*r - 15753 = 64822 - 15627 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2 - 1. Let i(x) = 6*x**3 + 10*x**2 + 10. Let k = -105 + 109. Suppose 5*t + 6 = -m, 0 = -t - k*m - 5 - 0. What is t*i(l) - 10*r(l)?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*q - 42. Suppose o - 22 = 5*b, q = 8*o - 4*o. Find the common denominator of 27\/5 and 3\/b*(5 - 6)*-18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(-18)\/(-4). Let s be (1\/(-3))\/(y\/(-45)). Sort -2\/5, 0.5, s in ascending order.\nAnswer: s, -2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35888499 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*h**5*q - 22*h**4*q**2 - h**2*q**2 - 57*h**2*q + h**2 wrt h.\nAnswer: 3180*h**2*q - 528*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**3 - 2*u - 5. Let l(d) = -10*d**3 + 3*d + 7. Determine 5*l(i) + 7*t(i).\nAnswer: -i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -67 (b) -3\/28 (c) -2 (d) 0 (e) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340940579.\nAnswer: 3, 11, 40634563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 8\/4 - 4. Let v(x) = -x**2 - x - 2. Let l(m) = 4*m**2 - 6*m + 6. Let y(k) = l(k) + 5*v(k). Calculate y(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 + 6 = 0. Let j(y) = y**3 - 4*y**2 + y - 4. Let v be j(r). Solve v = p - 3 - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9875080 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -366 + 368. Let l(g) = -g**3 - g**2 + g. Determine l(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m. Let g(z) = z**2 + 2*z + 2. Let b = 15 - 11. Suppose 3*j + 20 = -4*h, -h = 1 + b. Let w be g(j). Determine a(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*u\/u**9)\/(u**(-1\/3))**(-48) assuming u is positive.\nAnswer: u**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 99356688 + (-3)\/(-2)*20\/15. Let c = h + -39056690. Suppose 0 = -24*r + 21*r - c. Round r to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + k + 0*k = -9, 4 = -4*k. Let g(f) = 3 + 9*f**2 + 19*f - s*f**2 - 19*f. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o + 548254 = 1807779 + 1139830. What are the prime factors of o?\nAnswer: 3, 7, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2445563 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -1.24027?\nAnswer: -1.24027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 25 = 0, s + z - 2 - 7 = 0. Let g(a) = 23*a - 100. Let k be g(s). Let r(m) = -m**3 - 8*m**2 - 3. Calculate r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 - 7 + 26 + 6*v**2 - 12*v**2 + 13*v. List the prime factors of s(9).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 11272 = 3*x + 9058. Solve -11*n = -2088 + x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4522 (b) -5\/6 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*v + 82*v + 55*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2.19, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46477759 to the power of 1\/2, to the nearest integer?\nAnswer: 6817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(325) + 2*sqrt(325)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 - -43b36?\nAnswer: 43b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8468\/21228 - (-3)\/(-9))*((-2)\/8)\/(-1)?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6191 - 28.5109. Let j = i + 29. Let n = -1.03 - j. What is the biggest value in n, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007465 to 7 decimal places.\nAnswer: 0.0000747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:10 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 less than 217.985?\nAnswer: 463.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*w - w - 2, 4*d + 3*w = 0. Let l be d + ((-352)\/1)\/(-4). Let c = -60 + l. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 876*j**3 - 32*j**2 + 9*j + 1584. Let a(y) = -y**3 - 8*y**2 + 2*y + 2. Let k(u) = 4*a(u) - t(u). Differentiate k(s) wrt s.\nAnswer: -2640*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*t**5 - 375360*t**4 + 275555*t**3 + 283550*t**2 - 300380*t + 66760 = 0.\nAnswer: -1669, -1, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3 - 192*o**2 - 6144*o - 65536 = 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18820852 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -12. Solve -4 = -i - i, 2*t + g*i - 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 21. Let k = -0.13 + 15.13. Let a = y - k. Put 0, -1, a in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2048 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:28 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14833, 14111, 13389, 12667, 11945, 11223?\n\"Answer: -722*g + 15555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17*f - 326. Let k be o(19). Let r be -2 + 6 + (0 - -2). Calculate the remainder when 129\/r*4 + k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*-1)**2*-3.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40338*s**3 + 315689*s wrt s?\nAnswer: 242028*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2669*o + 14731*o**2 - 14731*o**2 - 3029*o**3 wrt o.\nAnswer: -18174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(833)) - (sqrt(833) + (2*sqrt(833) + sqrt(833))*-5).\nAnswer: 5 + 133*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1553*v**2 + 67*v**2 + 176*v**2 + (-5*v + 2*v + 2*v)*(0 + 0 + v).\nAnswer: -1311*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2403 and 2047?\nAnswer: 55269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2. Let d(r) = 543619431*r**2. Calculate d(z(c)).\nAnswer: 2174477724*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 35*g**2 + 35*g + 27. Let m be k(36). Suppose -4*v = -5*v + 2257. Is (-30)\/(-135) - v\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.01156 microseconds in hours?\nAnswer: 0.0000000113921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5013014 is divided by 1480.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -54.6 at most as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 10438266.\nAnswer: -17\/10438266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -114*i + 2064. Let a be j(18). Solve 18*h = 24*h + a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-21))\/(4\/(-27)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 69, 89, 127, 189, 281, 409, 579?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 21*v**3 + 7*v**2 - 6*v. Let g = 751 - 758. Let a(o) = 7*o**3 + 2*o**2 - 2*o. Give g*a(i) + 2*p(i).\nAnswer: -7*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 243, 485, 825, 1263, 1799, 2433?\nAnswer: 3165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x - 1. Let v be m(-1). Let f(g) = g + 27. Let z be f(v). Is 739 - (-4)\/z*0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/16*(-3)\/((-45)\/6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/(305\/1525)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:26 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072928?\nAnswer: 2, 33529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2662909 is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = 4. Let m = -28.3 - -15.3. What is the second biggest value in 1\/2, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/15 or -3027?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 1, q: 5}. Give prob of sequence qxxx.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 230\/4723641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -697, 435, 1567, 2699, 3831?\nAnswer: 4963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -627, -1, 2 in descending order.\nAnswer: 2, -1, -627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 222\/18 - (-3)\/(-9). Find the first derivative of 0*j + j - 15 + n wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2890, -2888, -2886?\n\"Answer: 2*w - 2892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -770121*a**3 + 1467*a**2 - 2*a + 81?\nAnswer: -4620726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((0\/3)\/2)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -82*h + 421. Determine x(14).\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 565 (base 16) to base 8\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/7)*q)**(-1\/17)\/((q\/(q\/(((q\/(q**(2\/51)\/q))\/q)\/q)))\/((q*q*(q*q*q*q*q**12)\/q*q)\/q)) assuming q is positive.\nAnswer: q**(6047\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/60 and (-2)\/4*(5\/24 - 4)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 12 + 11 + 2838*w + 7 in the form h + d*w and give d.\nAnswer: 2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 767 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let p(m) = -s + m + 3. Let j(c) = c**2 - c + 1. Let l(a) = -40*a**2 + 36*a - 36. Let v(n) = -72*j(n) - 2*l(n). Calculate p(v(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14154 (base 15) to base 9\nAnswer: 107337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -544*n**5 - n**4 + n**2 + 2*n + 12481.\nAnswer: -10880*n**3 - 12*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 69.42832cm?\nAnswer: 694283200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 21 = 2*x, -24 = -5*s - 2*x. Solve -2*i - s = n + 4, 0 = 5*i - 2*n + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Find the third derivative of 0*c**4 - 3*c**2 - c**i + 4*c**4 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1209.\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 3*r - 6, 3*r - 29 = 3*c + 7*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t - 5. Let w(z) = 3*z**2 - z + 2. Let b be w(1). Does 3 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 5676.\nAnswer: 198660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4304 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 7:41 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2157, 1819, 1479, 1137, 793?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 418*f**2 + 0*f**6 + 387*f**2 - 445*f**2 + 123*f**6 wrt f?\nAnswer: 14760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 2*t - 4*t**2 - t + 4 + 2*t - 2*t. Let g be k(3). Sort g, 5, 3 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 4*c**3\/3 + c**2 - 17*c + 77. Find the first derivative of r(a) wrt a.\nAnswer: 8*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**4\/10 + w**3\/15 + 4*w**2\/5 - 4*w\/5 - 4. Solve r(u) = 0 for u.\nAnswer: -2, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-54)\/15)\/(3\/(-10)). Suppose -2*j - 4 = -4*k, -2*j + 5*k = -3*j + v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 19*h**3 + 0*h**3 + 8*h**2.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 16*d = 2*h + 92212, -2*d = 4*h - 46106. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/((l\/((l**(2\/3)\/l)\/l*l))\/l))))**(2\/23))**(6\/19) assuming l is positive.\nAnswer: l**(8\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 18*m**2 - 7*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, 2\/9, -39, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(175)\/sqrt(5)*3 + sqrt(35) + sqrt(35))\/(sqrt(847)*1 + sqrt(847)).\nAnswer: -1 + 5*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68281 - -28.\nAnswer: -68253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-198))\/((-6384)\/(-231) + -26)\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -1 - (-687)\/(-9). Let m = y + 80. Solve -2\/3*c**3 + 0 - 4\/3*c**2 - m*c = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39776, -39834, -39928, -40058, -40224, -40426?\n\"Answer: -18*t**2 - 4*t - 39754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 36667*f + 100*f**2 - 13 + 8 - 101*f**2.\nAnswer: -f**2 + 36667*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 97470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-406)\/232*(-10)\/(-7)*64\/8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 + 5*v**3 + 9*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -32*x**4 + 405188*x**3 - 860792*x**2 - 1114092*x + 151920 = 0.\nAnswer: -1, 1\/8, 3, 12660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -61. Suppose f = -0*x + 4*x + 3*g - 125, -3*g - 131 = -4*x. Suppose -28*q + x*q = 48. Solve -z + 4 = 3*t + q, z + 10 = -4*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15652560 a multiple of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 + ((-2 - 7) + 0 - (16 + 14))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqpqpfqnfffcfqi. What is prob of sequence fn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4.11. Let i = d + 4.89. Let g = 17\/161 - 9\/23. Which is the second smallest value? (a) g (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 11*u**5\/15 - u**4\/12 + 6*u**3 - 2*u**2 + 19. Find the first derivative of o(g) wrt g.\nAnswer: 88*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + -0.53. Let g = s - -1. Put 4, 5, g in increasing order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -707 + 1177. Let x be ((-17)\/(340\/24))\/((-2)\/(-370)). Let f = x + r. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3*z + 4, 1851*z = 1851*z - 4*d - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 200*q - 10196. Calculate u(142).\nAnswer: 1732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-4) + (-4)\/(-16) - -2. Let z(c) = 5*c**2 - 4 + 5*c + c**3 - 2 + 5. Let q be z(a). Sort q, -3, 1 in ascending order.\nAnswer: q, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 + -3 - 10 - 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.5343 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 7*w - 1. Give v(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 49. Let q be w(-16). Find the common denominator of (q*(-11)\/20)\/((-12)\/8) and 53\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936 by -234.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4767209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 + -5245?\nAnswer: -5340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (4 - (-9 + 0)) - -22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -12 - (9 + 4)) + 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -62\/25, 2\/3, 7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2316 + -2224. What is the remainder when d is divided by 62?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = j + j. Let m = j + 1. Is m*(-1 + (-174)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 2*j**3\/3 + 1. Let b(i) = i - 7. Let x(h) = -h + 6. Let g be (6\/5)\/((-1)\/(-5)). Let k(d) = g*b(d) + 7*x(d). What is k(t(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*x + 50*x**2 + 19*x**2 + 10*x + x**5 wrt x.\nAnswer: 20*x**3 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1043 and -111215.\nAnswer: -112258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*s + 4875 = s - 48*s - 9762 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279410564 or 279410565?\nAnswer: 279410564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/792*(-55)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 66*h**3 + 6*h**2 - 84*h + 21. Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24669 - 6898. What are the prime factors of k?\nAnswer: 13, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(637)*-6*-2)**2 + -5.\nAnswer: 366907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2. Let b(z) be the first derivative of -7*z**6\/360 - z**3 - 28. Let w(c) be the third derivative of b(c). Give d(w(v)).\nAnswer: -294*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (sqrt(425) + 1 + -5 - sqrt(425)) - sqrt(425))*-4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 5:39 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 299.23 - 304. Let h = 0.23 - k. Suppose 5*w + 5*j = -5, -5*j - 6 = w + 7. Sort h, w, 3 in decreasing order.\nAnswer: h, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1263 - 4643?\nAnswer: -4642.8737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 g when three letters picked without replacement from {t: 6, g: 2, s: 10}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185.39 + -1026.29. Let a = m - 3.6. What is a rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 4 - 3*n + n**3 + 2*n**2 + n**2. Let i be p(-5). Let a = i + 11. Put -0.3, -5, a in decreasing order.\nAnswer: -0.3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1101094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 5*a**2\/2.\nAnswer: a**2*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 2, m: 1, v: 5, e: 7, h: 3}. What is prob of picking 2 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 - -9) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 812*d - 100705. What is j(124)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3178 + 25*v + 28*v + 1041 + 1031 + 1106.\nAnswer: 53*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = 42*b + 5*w, 5 = 3*w - w + 1 - 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d**5 - 2268*d**4 + 512727*d**3 + 608692*d**2 + 93708*d = 0.\nAnswer: -342, -1, -2\/11, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(3 - 13)*(-40 - -54). Solve 8*o - c*o + 2*q + 7 = 0, -4*o - 5*q - 22 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = -1626622 + 348262. Round s to the nearest 1000.\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*g - 2*l, l + 5 = 0. Find the third derivative of -5*k**3 + 6*k**3 + 3 + k**g - 3 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5\/8 - 91125*i**4\/8 - 227682*i**3 - 1183485*i**2\/2 + 5463684*i - 6556680 = 0. What is i?\nAnswer: -30355, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/12*(-2)\/(-18)*-12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 5) + 0 - 0. Let a be (0\/(f\/2))\/1. Let c(h) = 2*h**2 - 3*h + 1. Let b be c(3). Solve -i = 3*o + 5, -5*o - i - i - b = a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490, 498, 506, 514?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12560)\/56 - -24)*17*-7.\nAnswer: 2, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, 8, 102, 286, 590, 1044?\n\"Answer: 5*x**3 - x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, w: 4, k: 3, y: 2, h: 1}. What is prob of sequence ky?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.162 - 103.162. Let d = -98 - n. What is the biggest value in 1, d, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 30*m**2 - m - 251*m**2 - 52*m**2. Let r(u) = 6*u. Calculate r(k(o)).\nAnswer: -1638*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u + 3 = 0. Let l(m) = -5*m + 3. Let p(x) = x**2 - x - 1. Let s(t) = u*l(t) - 3*p(t). What is the second derivative of s(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 8. Calculate h(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15858913 is divided by 5286289?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 119\nAnswer: -25\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2384484 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (2 + 12 + 18 + -25).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70242 and 38175.\nAnswer: 1756050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-492)\/(-120))\/(-41)*(-6)\/(-3)*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*f + 3*q + 1, 19 = -5*f + 2*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 49684.6 times 4\nAnswer: 198738.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -21 - (-1 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r - 3. Let d be x(1). Sort d, 5, -6.\nAnswer: -6, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 2\/155 (c) -5 (d) 165 (e) -4\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55\/4 of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3132132010 (base 4) in base 15?\nAnswer: -12eee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36895 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 17*g = 5*y - 13, 5*g = -2*y - 32 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*-2*2\/(-84) and ((-1)\/(-12))\/(-1)*(26 + 12412\/(-145)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7. Let a(f) be the first derivative of f**2\/2 - 3*f - 40. Let x be a(y). Put -3, x, 3 in increasing order.\nAnswer: x, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4*w**3 - 74*r**4*w**2 - 4*r + 2*w**3 wrt r.\nAnswer: 12*r**2*w**3 - 888*r**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/60 + w**4\/4 - 7*w**3 - 642*w**2. Determine c(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*i*l**2*o**2 + 1310*i*l**2*o - i*l*o**2 + 19*i*l*o - 7*i + 2*l*o**2 wrt l.\nAnswer: -26*i*o**2 + 2620*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/7)\/(3\/(-21)). Suppose -3*a - i*m = -4*m - 88, 32 = a + m. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/104222929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 44*j**2 + 140*j - 41. Let m be a(-47). Let l(i) = -7*i + 138. Calculate the smallest common multiple of l(m) and 108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-48)\/28*(-18)\/27. Let 12\/7 - 15\/7*z**3 + 9\/7*z**2 + y*z = 0. What is z?\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let o(a) = 0 + a + 5 + a**2 - 3. Let l be o(0). Let u(x) = 3*x**2 - l + 2. Determine u(t(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(8\/9)\/i)\/i*(i*i\/(i*i*i**(-1\/14)))\/i)**36 assuming i is positive.\nAnswer: i**(-514\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 442*r**2 - 443*r**2 - 25 - 12 - 22 + 16*r. Let y be v(10). Solve -4*z - 1 = b + y, 4*z - 2 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 2*p**2. Let b be a(0). Solve b*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*j + 3444 = -32*j + 166*j - 125*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146\/93 + 3451\/2139. Let l(p) = -p**2 - 6*p - 9. Let w be l(-4). Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/32 and -85\/6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/314 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 3*d**2 - 9*d + 1. What is the remainder when 83 is divided by o(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -3273634?\nAnswer: 1636817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -35*x**3\/6 - 20*x**2 + 108*x - 1. Let q be f(-4). Let l = -0.2 - -0.3. Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) 5 (c) 1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let s(o) = -3*o - 9. Let v(j) = 4*q(j) - s(j). Let g = -137631 + 137638. Calculate v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 - 13722069.7785.\nAnswer: -13722069.9385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i + 3*i + 0*i. Let k(s) = 2*s**2 - 4*s. Let h(j) = 2*j**2 - 5*j. Let l = 24 - 20. Let q(x) = l*h(x) - 5*k(x). Calculate q(r(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11*q + 1209 = 0. Round q to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 17*p - 2. Let w be a(2). Suppose 0 = -x + 3*s + 41, 2*x - w = -s - 3*s. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**2 + 0*d**2 + 14*d**2 - 1093*d**3 + 9*d**2.\nAnswer: -1093*d**3 + 41*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.1 - 12. Let b = d - 8.4. Put b, 0, -0.2 in increasing order.\nAnswer: b, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053685891 rounded to six decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 805*t**2 - 22 - 1140*t**2 + 410*t**2 + 58)*(6 + 0 - 4) to b*t + r*t**2 + h and give r.\nAnswer: -3070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*8\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -302897.5 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211567 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 16) to base 3.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-55)*-6*1900\/(-30).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(135) + -3*sqrt(375))\/(((sqrt(15) + sqrt(30)\/sqrt(2))*3)\/(sqrt(75)*-2)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 5*b + 1. What is the units digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136754 (base 9) to base 8.\nAnswer: 243412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 11409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4699957 + -0.47. Round u to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -11\/7662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/4 + 12\/16. Suppose -3*q = 4*i - j*q - 698, -172 = -i - q. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89254321 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41200 (b) 2\/23 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*x = -d, 2*d - 2*x = 0. Let f(n) = 2 - 2*n + d*n - 2 + 1. Calculate f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**4 + 9*l**3 + 5*l**2 - 4*l + 4141. Let i(c) = 19*c**4 + 15*c**3 + 9*c**2 - 7*c + 8284. Let u(x) = -3*i(x) + 5*w(x). Differentiate u(q) wrt q.\nAnswer: -28*q**3 - 4*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-12 + -4 + 7 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*n + 4*n - 3*n - 3*n + 3*n + n**2 to the form l*n + i*n**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 9 (c) -16\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:48 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*h - 1495 = 643 - 4683 - 5207 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -846, 169, 2124, 5325, 10078, 16689, 25464?\nAnswer: 36709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - a = -3*o + 11, 1 = -a. Suppose 11*l - 27 = o*l. Solve 3*m + 20 + 1 = l*j, 2*j = 3*m + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460992 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10075720 is divided by 6321.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (4 - 0 - (-37 + 42)) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-466)\/9 - (-8)\/(-36). Let d(q) = -14*q + 115. Let g be d(10). Let p = g - j. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*w + 138*w + 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8222444.\nAnswer: 2, 2055611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-6))\/(4\/152*-1). Suppose -3*x - 45 = -3*m, 5*x + 2*m = -72 + 4. Calculate the common denominator of -107\/156 and (-8)\/(-14) + l\/x.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 3. Let k(d) = -d**2 - 4*d - 1. Let j be k(-4). Let a be 0 + 2 + (-7 - j). Let g be v(a). Solve -5*b - 15 = s, -6 - g = -3*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 7:50 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*u + 681*u = 6 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-65 - 6 - 26)*(-7*h - 2 - h + 6*h).\nAnswer: 388*h + 388","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/110)\/((-3)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 12*s + 11. Let o be f(-5). Let x be (0 - 4\/5)*5. Put -2, x, o in decreasing order.\nAnswer: o, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -532*o + 31. Let j be r(1). Let c = j + 503. Solve 7*p = c*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*x + 2. Let s be x\/(14\/(-6) - -2). Solve s*u + u + 5 = -b, 5*u = 3*b - 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.744 - 0.114. Let t = 0.62868 - h. What is t rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - m = m - 122, 4*q - 276 = 4*m. What is the highest common divisor of q and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 8. Let a be q(-6). Suppose 0 = -k + a*k - 14. Is 2 a factor of (-1 - 0)\/((-2)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2\/4 + 1389*d\/4 - 1035 = 0. What is d?\nAnswer: 3, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/6 - 5*z**3\/6 + z**2.\nAnswer: z**2*(z - 3)*(z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w - 7. Let y be q(-6). Suppose -3*f + 7 = -y. What is the least common multiple of 16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1529? (a) 5 (b) 0.3 (c) 0.593 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -546*a**3 - 2*a**2 + 2*a - 531. Let y(n) = 547*n**3 + 3*n**2 - 4*n + 532. Let s(q) = -3*k(q) - 2*y(q). Find the second derivative of s(b) wrt b.\nAnswer: 3264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 71*k + 1766. Let m be x(-21). Calculate the greatest common factor of 1870 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -894*f**3 + 1350 + 135*f - 821*f**3 + 1720*f**3 - 90*f**2.\nAnswer: 5*(f - 15)*(f - 6)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.2*-4.612.\nAnswer: -83.9384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 8. Let i be u(5). Suppose d + i*d - 320 = 0. Suppose 0 = -2*r + r - 5, -3*r = -f + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + 7110*i - 7125*i - 4 to the form z + x*i and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1123270 is divided by 470?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {f: 3, a: 3, h: 1, q: 1, z: 1, r: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11730 divided by 3.\nAnswer: -3910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*k = 75546 - 92321 for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svtv. What is prob of picking 1 s, 1 t, and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 492 + -312. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let k = f + 6. Let x(q) = -k*q + 0*q + q. Let u(g) = g. Give u(x(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 7. Let v be c(-11). Suppose -v*y + 1 = -23. Suppose -17 = -d + y. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28342 (base 12) in base 6?\nAnswer: -1110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/232, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 1\/30*u**5 - 19*u**2 + 5\/6*u**3 + 0 + 0*u - 7\/8*u**4. Let k be v(9). Is -22 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131241160 or -131241161?\nAnswer: -131241161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -15. Let l be 6\/m + 12\/(-18). Differentiate 7*u + 4*u + l*u - 8 - 2*u with respect to u.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1)\/((-47 + -1)\/16). Solve l = x - 2 - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 112. Calculate the remainder when (-3)\/((-1)\/j - (-30)\/252) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35\/6, 4, -2 in decreasing order.\nAnswer: 35\/6, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - 1. Let s = 57 - l. Suppose h + 5 = s. Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/44 and (-110)\/22*34\/32?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64.7 * -22.\nAnswer: 1423.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*v**3 - 5*v - 238*v**3 + 8*v)*(2*v**2 + 0*v**2 - 7*v**2).\nAnswer: 785*v**5 - 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/50)\/(8\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + 4. Let h(z) = -5*z - 5. Let i(c) = 5*h(c) + 4*v(c). Let u be i(-9). Suppose -4 = -g - u. Solve g*f - 2*b + 14 = 0, 0*f + 4*b + 20 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 23. Let x = d + -2. Suppose -x*b + 0 = -10. Solve 5 + 15 = -4*y + b*c, -3*y - 2*c = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160330*x**2 - x - 1287?\nAnswer: 320660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -7, 9, -13, -1, 2 in ascending order.\nAnswer: -13, -7, -6, -2, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(170) + sqrt(170) + sqrt(170) + (-5*sqrt(170)*-2 - sqrt(170))))\/(4*(sqrt(360)*2 + sqrt(360))))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 5}. What is prob of sequence ojoo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13317 - -253025\/19. Which is the nearest to 2? (a) q (b) 1\/10 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-96))\/((-7)\/(-42))*928\/24?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201231 + 641875 = -3286*y + 11804*y - 564480 for y.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29200.550322 + 32?\nAnswer: -29168.550322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11833.\nAnswer: 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1093*r**2 + 689*r**2 + 296*r**3 - 1 - 297*r**3 to the form y*r + c*r**2 + d*r**3 + u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 75?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2241334014?\nAnswer: -2241334013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 7450?\nAnswer: 7450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*g - 8, 0 = -7*c + 2*c + g - 32. Which is greater: -0.16 or c?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 139982 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - -10 - -31 - -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njm when three letters picked without replacement from xmxxnpmmnjn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 164085740 divided by 1803140?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9*y - 25 = 5*j, -28 = 3*j + 5*y. Let l be j\/(-4) - 1196\/(-16). Factor -9*s**4 - 3*s**5 + 12 + 30*s**4 - 2*s**3 - 48*s + l*s**2 - 55*s**3.\nAnswer: -3*(s - 2)**2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 176db0c?\nAnswer: 176db08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 + 118. Let r be (-1)\/(-11) + -123*(-4)\/(-1056). Which is the nearest to 73? (a) m (b) -4 (c) 0.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53928.11 decades in centuries?\nAnswer: 5392.811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 1. Let j = g + -4. Calculate the remainder when 10 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14156461 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20769374132944 + -4.\nAnswer: -20769374132948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -1494?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 55\/2 of a second?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -67618407 and -1.136.\nAnswer: -67618408.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141\/13 - 11. Let l = -4 + 9. Which is the second smallest value? (a) q (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + p**3 + 5*p**3)*(4*p**2 + p**2 - 2*p**2) + 0*p + 2*p**5 + 0*p + (3*p**3 + 0*p**3 + 0*p**3)*(-3*p**2 - 4*p**2 + 5*p**2).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 21 + 6, 5*y = 4*g + 8575. Round g to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 equal to 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/19))**(2\/3) assuming w is positive.\nAnswer: w**(-4\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47501950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -3*(-3)\/(-9). Suppose -2*w - 14 = -y. Let n be (56\/(-12))\/w - (-1)\/3. Solve -n = c + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(125) + sqrt(125) + 4*(sqrt(5)*1 - sqrt(5))**2 + (sqrt(605) - (1 + sqrt(605))*3)**2 + 0.\nAnswer: 132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 0.8, 1\/4 in ascending order.\nAnswer: 1\/4, 0.4, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/45)\/((-2)\/(-6)). Let n(o) = -o**3 - 11*o**2 - 4*o + 25. Let h be n(-10). Which is smaller: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102\/19 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1816 divide 19049840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhd when three letters picked without replacement from {d: 1, i: 9, h: 3, z: 6}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 89. Calculate the greatest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/30)\/((-2)\/10). Let p(z) = z**2 + z + 6. Let m be p(5). Calculate the highest common divisor of m and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 2)*3 + 4 + -2 + sqrt(343) + 1 + sqrt(343))**2.\nAnswer: 306*sqrt(7) + 2104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*z**4 + 4*z**2 - 8*z**4 - 31*z**2 - 4*z**4 wrt z?\nAnswer: -792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 78. Let j(k) = -77*k + 1. Let n be j(s). Let f = -79 + n. Which is greater: 1\/46 or f?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85962 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(0*x**4 + 4*x**4 - 3*x**4) - 4*x**4 + 3*x**4 + 2*x**4 - 18 - 285880*x**3 + 285879*x**3 - 13*x**4 - 45.\nAnswer: -11*x**4 - x**3 - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 27 = -3*d, 5*n - 3*d = -8*d - 25. What is the common denominator of -1 + n\/240*62 and ((-77)\/6)\/((-16)\/6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*h + 5736 = 0, -3*x + 7127 = 3*h + 2825. What is the remainder when x is divided by 131?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) -4925\/2 (c) 1\/597\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -30*l - 1. Let b be a(1). Let v = 47 - b. Let w = 142 - v. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = w + 3*g, 4*g - 8 = -5*w + 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 90816, 91039, 91402, 91905?\n\"Answer: 70*y**2 + 13*y + 90733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49292?\nAnswer: 2, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 0*t**2 - 1472*t + 721*t.\nAnswer: t**2 - 751*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1860318 + -0.444.\nAnswer: -1860318.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 17*c + 19. Let a be s(16). Let p be 1*3*(3 + (a - 5)). Suppose 0 = -u + 4*u - 2*g - 26, 3*g = 5*u - 43. Solve p*j - 1 - u = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, l: 3, n: 1, w: 2, y: 4, j: 1}. What is prob of sequence njll?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5870, -11750, -17632, -23516, -29402, -35290, -41180?\n\"Answer: -h**2 - 5877*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5)*-1 + (-5 + sqrt(80))**2.\nAnswer: -38*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -180*x**2 + 382*x - 47. Give q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)*k*k**(1\/4)\/k*k**(-2\/9)\/(k*k**(-6)) assuming k is positive.\nAnswer: k**(1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 14) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 - 184 = 51*u. Calculate the greatest common factor of 12480 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 6 = -7*k. Let g be (k - (-7)\/4) + 27\/(-36). Which is bigger: -7\/16 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o**(6\/7)*o))*(o*o**6)\/o*(o**1*o)**(1\/4) assuming o is positive.\nAnswer: o**(131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 11\/100, -1\/2 in increasing order.\nAnswer: -1\/2, -0.1, 0, 11\/100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -17*x + 7*x. Which is the closest to 1\/3? (a) x (b) 6\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00332673 rounded to 6 decimal places?\nAnswer: -0.003327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**5\/30 + f**4\/12 - 7*f**3\/6 - 2*f**2 - 9. Let c(z) be the second derivative of j(z). What is the units digit of c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 13*j**2 - 31*j + 19. Let m be o(13). Is m less than or equal to -383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, n: 11}. What is prob of picking 2 n and 2 y?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 899353*f**2 - 261150756?\nAnswer: 1798706*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2778834 (base 10) in base 4?\nAnswer: 22212123102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 1\/3 (c) -69.27018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/4*(-80)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(h**2 - h**2 - h**2) - h**2 + 10*h**2 + 0*h**2 + (0 + 2 - 1)*(h**2 + h**2 - 3*h**2).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79609\/24 - 3316. What is the common denominator of -7 - -9 - -4 - 123\/(-36) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/325)\/((-6)\/(-15))*6*1\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 + 18*l + 48. Let h be u(-3). Solve -14*q + 5 = h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 26, -69, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -1670\/227071 in decreasing order.\nAnswer: 0.1, -1670\/227071, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2315328, -2315352, -2315376, -2315400, -2315424, -2315448?\nAnswer: -2315472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-9)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/32 + 1\/32. Suppose 2*u - 5*u = -d + 7, 0 = 3*d - 5*u - 29. Suppose 0 = -5*k - 5 - 0, 3*t + 4*k = -d. What is the nearest to 1\/2 in t, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (497*j - 218*j + 582*j - 172*j + 265*j)*(5 - 5 + 1)*(-1 + 3 + 3) to c*j + b and give c.\nAnswer: 4770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4*c**2 + 3)*(c + 2*c - 2*c)*(-147*c + 10*c - 1 - 7*c) as x*c**3 + v*c**2 + a*c + p + m*c**4 and give m.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 64. Let i be (-6)\/n + (1 - (-173)\/4). Let j = 78 - i. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 - 428531.\nAnswer: -428455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21803 by -2.\nAnswer: -21803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2381071 and 24\/5411525.\nAnswer: 59526775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - (-197340)\/10380) + -79?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 787977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5700 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 14 = -2*c, 3*i = -c - 5. Let t(f) = -2 + 16 + 4*f**2 + 9*f - 3*f**2. Let b be t(c). Solve 0 = -b*n + n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1970903 (base 10) in base 8?\nAnswer: -7411327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 127*b**2. Let j(u) = -6334649 + u**2 + 6334649 - 7*u**2 + 2*u**2. Calculate j(p(f)).\nAnswer: -64516*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381540574?\nAnswer: 2, 190770287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 900127.5l in millilitres?\nAnswer: 900127500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -87. What is the nearest to -2 in -3, g, 1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8062, -0.4, -1\/7, 4, -6\/11, -5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/396 and -41\/33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -29 + (-33 - (8 + -149)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + 6 = 0. Which is the nearest to 3? (a) -5 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001712352 to 6 decimal places.\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3300144 (base 6) to base 3\nAnswer: 22022002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 114206.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Suppose 2*y - 5*j - 25 = 0, y = 4*j - 0*j + 14. Suppose -v*h + 55 = y. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cemcevcvvnccmv. What is prob of picking 2 c and 2 m?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86771\/57348 + 343\/236. Find the common denominator of 13\/378 and h.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 308\/(-165))*-15. Solve -o*x = -p - 8, -p + 3*p - 3*x = -11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 2. Let v be q(-6). Let l(k) = -11*k**3 + 2*k**2 - 8*k - 1. Let g(j) = 31*j**3 - 5*j**2 + 23*j + 3. Let f(c) = -6*g(c) - 17*l(c). Calculate f(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 - 10782*p**4 - 9698400*p**3 - 19353696*p**2.\nAnswer: -3*p**2*(p + 2)*(p + 1796)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/27 (b) 1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/6 - 8*d**3\/3 + 3*d**2. Let f be c(-3). Does 9 divide 2 - (f\/18 + (-6867)\/81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*(-1593)\/295\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 + 590*y**3 - 362*y**3 + 12*y**2 - y**2 - 226*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 8*y - 5. Let z be s(7). Solve 3*v - 5*l + 10 = 0, z*v - v + 4*l = -9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4 - 1 + n + 3. Let w(r) = 5*r + 63. Let v be w(-11). What is the remainder when 25 is divided by o(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 19?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41433 (base 5) in base 12?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385401 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.76 - 0.24. Let q = 30 - 53. Let g = q - t. Which is the fourth biggest value? (a) -3 (b) 0.2 (c) g (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207822 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5 + 290*z**4 + 3465*z**3 - 22480*z**2 - 54220*z - 28560 = 0?\nAnswer: -34, -28, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 30.1, -0.3, 0.12, -34 in ascending order.\nAnswer: -34, -0.3, 0.12, 30.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.47 - 3.37. Let c = -3 - x. What is the third smallest value in 0.4, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and -353051 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**4 - 2*g**3 - 2*g**2 + 2*g - 2. Let j(d) = d**3 + d - 1. Let n be -1 - 7\/(-1) - 4. Let q(i) = n*j(i) - u(i). Factor q(x).\nAnswer: 2*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94990.58l in millilitres?\nAnswer: 94990580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3*g - 8*g)*(-4*g**3 + 0*g**3 + 2*g**3).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 632196 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 10. Let i = 10 + -4. List the prime factors of z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*j = -3*j. Suppose j = -14*g + 10*g + 4492. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(1573) - (-2 + sqrt(1573) + sqrt(1573))) - (sqrt(1573) + -2 + 5))*-2*4)**2.\nAnswer: 16896*sqrt(13) + 404992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/8)\/((-10115)\/(-8092)) + 10\/4. Solve 0 - 18\/5*z**4 + 6*z**3 + i*z**5 + 0*z - 14\/5*z**2 = 0 for z.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/15924 and -95\/5308.\nAnswer: 15924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(3 + sqrt(99) + sqrt(99)) + sqrt(99))*1.\nAnswer: -90*sqrt(11) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/2 + 5*q**2 + 205\/4*q.\nAnswer: 5*(q + 10)*(4*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26923 is divided by 104?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m - 298. Let b = -304 + m. Solve -3*f = t - 6*t + 22, 0 = t + f + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2369579.\nAnswer: 17, 139387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {u: 4, p: 9, q: 1}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**2*r*z + 12*j**2*r - 41*j**2*z + 2*j**2 - 3*j*r*z + 8*j*r - 2*j*z + 2134*r wrt j?\nAnswer: -14*r*z + 24*r - 82*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k + 14*k + 3 - 4. Let i be s(-1). Let x = i + 33. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(-19)\/380 + (-64)\/(-210). What is the nearest to 0.1 in 0, u, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132257779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 247 + 23?\nAnswer: 26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = 5*q + 77, q + 24 = -f. Let l = f + 55. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u**2 + 3*u + 7. Let k(s) be the third derivative of -s**5\/20 + s**4\/24 + s**3\/3 + 17*s**2. Let w be -1*(0 - -1) + -6. Determine w*k(p) + 2*j(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 9*j + 1. Let b(r) = -r**2 + 5*r - 1. Let g(q) = -5*b(q) - 3*c(q). What is g(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 170, 176, 182, 188?\n\"Answer: 6*a + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263064 is divided by 874.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5455*h - 114557. What is v(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 142182414*v - 91402518.\nAnswer: 142182414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/30 - 5*z**4\/8 + 11*z**3\/6 + 21*z**2. Let y(b) = b - 1. Let u(l) = 2*g(l) + 22*y(l). Factor u(t).\nAnswer: 4*t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164568 is divided by 164376.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1784 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15177*a**3*o*r**2*x - 5*a**3*x + a**2*o*r*x + a*o*r - 2*o*r**2 + 2*o*r - 2*o*x wrt a.\nAnswer: 91062*o*r**2*x - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.706 - 0.106. Let w = o - 0.493. Let i = -10.893 - w. Which is the third smallest value? (a) i (b) -1\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170*b - 259*b - 331200 = 239*b + 732*b for b.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -109*m**3\/6 - 7*m**2 - 10*m. Is g(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (17 - 6) + 8 - (-95 - -5)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 33854*m = 33856*m + 9 + 11, 3*p + 2*m + 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*8*-2. Let z be (-184)\/(-44) + s\/(-44). Suppose -4*t - 44 = -z*h, -3*h + 4*h - 11 = -4*t. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = w - 3, 219876 - 219852 = -5*p + 8*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112 + 9600\/(-144))*(46\/36 + (-10)\/(-45))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12907 = -1274*z + 3655 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8729, -8761, -8797, -8837, -8881, -8929, -8981?\nAnswer: -9037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, 0.5, -2\/7, 0.4 in descending order.\nAnswer: 5, 0.5, 0.4, -2\/7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17)\/(-2))\/((-5)\/(-12))*5800\/1740)\/(-1)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -19\/7*x**7 + 0*x**5 + 5*x**3 + 0*x**6 + 0*x**4 + 0*x + 0*x**2 + 28. What is the third derivative of p(s) wrt s?\nAnswer: -2280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 38.\nAnswer: -15\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/6 + 17*f**2\/2 - f + 51. Let l be o(-9). Let r(w) = -w**3 + 9*w**2 - 8*w - 5. What is r(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d**2 + 3*d. Let n(u) = -3*u**2. Calculate n(g(t)).\nAnswer: -363*t**4 + 198*t**3 - 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/21 - 1072948*k**3\/21 + 143903249282*k**2\/21 - 95934426576*k\/7 + 47967034464\/7 = 0.\nAnswer: 1, 268236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -87. Suppose -l*j - 3*j + 60 = -3*h, j = 3*h. What is the remainder when 56 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114235)\/(-5025) - (-7 + 30).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 6*l - 11*l - 24 = 0, 156*n - 3*l = 157*n - 5*l - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-9 + 14)) + (-36 - 0) + 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-2 - -4) + -2 + -4 - -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 330 - 140. Does 44 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150078033 to the power of 1\/2, to the nearest integer?\nAnswer: 46369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5700041 + 0.57. Round s to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8022576619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2)**2 + -4.\nAnswer: -16*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**3 - 2*g - 1. What is z(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*t + l, 5*t = 2*t - 2*l + 67. Solve -6*c + 7 = -t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/420*4*5*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Let m be 1 - (2 - c) - 75. Let q = -43 - m. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1058 - 1055. Solve l - 26*q + 27*q = 0, 2 = n*l + q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 19*y**2. Let j(i) be the first derivative of -13*i**2 - 349. Calculate j(g(t)).\nAnswer: -494*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i - 5*s + 228 = 0, -505*s = 2*i - 507*s + 13 - 3 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 6*m**3 + 39*m**3 + m**3 - 41*m**3 - 3*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from eneeenenneeenenennen?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b + 5. Let x(y) = 5*y - 3. Let o(n) = -3*s(n) - 5*x(n). Let j(q) = 4*q**2. Calculate j(o(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o, -2*i - 5*o + 6 = -5. Suppose -i*u = -12*u + 1496. What is the remainder when u is divided by 95?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24194157 to the nearest integer?\nAnswer: 4919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -418*s - 3330. Let u be c(-8). Calculate the greatest common divisor of 2198 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7542 + -8?\nAnswer: 7535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -20548?\nAnswer: 20557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -6*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25177 - 14090. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468377 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 27*x**2 + 32*x - 116. Is o(-20) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 27*y - 21. Let n be k(1). Solve -4 - 38 = -n*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 15732*r**2 - 12439*r**2 + 9103*r**2 - 14511*r**2.\nAnswer: -33579*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g, -102 = 2*z - 3*g. Suppose 62*i - 5*o - 1607 = 53*i, -3*o + 24 = 0. Let f = z + i. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*m - 302 + 365 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*g**5 + 5*g**2 - 1237*g wrt g.\nAnswer: 1820*g**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3075)\/270)\/(-41))\/((-10)\/3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266223, -1065122, -2396619, -4260714, -6657407?\nAnswer: -9586698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*t - 19936 = 265*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1476*v. Let z(g) = 4*g + 30. Let p(m) = 9*m + 70. Let o(i) = 3*p(i) - 7*z(i). Calculate h(o(s)).\nAnswer: 1476*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -19, -1164 in increasing order.\nAnswer: -1164, -19, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31297\/19 or 1646?\nAnswer: 31297\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 27 = 5*o, -210*d + 223*d = -2*o - 159 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.438393 rounded to 1 decimal place?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 11 = 2*d. Let c(t) = -t**2 - 5*t - 1. Let l be c(d). Solve -l = -4*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 538175141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.123 * -75.7.\nAnswer: -160.7111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3) + 15 + 2. Suppose -7 - d = -4*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -6, 1.157, -2 in increasing order.\nAnswer: -6, -2, 1.157, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from {w: 2, n: 1, t: 3, r: 3, b: 5, z: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(12\/3)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from rrofmfonmrfnorfoofjr.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u + 1. Let r be l(2). Let p = 12 - 7. Let q = p + r. Solve 0*s + q*s - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -489103293 - -6.7\nAnswer: -489103286.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9379 divided by -2281\nAnswer: -9379\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a**(-6\/7)*a*a*a)\/a)*a)**(-8))**(-12) assuming a is positive.\nAnswer: a**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14635*h = -15630*h + 40795 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x**2 + 5795*x. Let z(s) = -21*s. What is z(h(o))?\nAnswer: -273*o**2 - 121695*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4449\/27 - (-2)\/9. Suppose -3*r + h = -0*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68700*p**3 + 46*p - 137*p - 68696*p**3.\nAnswer: 4*p**3 - 91*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -17 + 11 - (4 + (-630)\/7). What is the highest common factor of u and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 7*v**2 + 4*v + 1. Suppose 24 = -8*j + 2*j. Let d be j*(-3)\/(-4)*-2. Calculate g(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 10. Let d be h(3). What is the common denominator of (-3)\/d + 1712\/(-704) and -22\/13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-146 + 0)) + -4 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 50976 = 3*s, -18*d + 16*d + s + 33989 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/15)\/((-14)\/10). Let n = -3.7 + 0. Let c = n - -0.7. What is the nearest to q in -5, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*6\/(-36))\/((160\/(-12))\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0116061549 to six dps.\nAnswer: -0.011606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1519 divided by -217.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2208\/80 - -2*1\/5. Let p = c - 26. What is the first derivative of 4 + 136*d**2 + p - 133*d**2 wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.21, -5, -0.2, -2?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + 1\/21. Let z = 1.4 - -0.6. Which is the second smallest value? (a) z (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 21059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 17*k**4\/12 + 2*k**3 - 19*k**2\/2 - 74*k. List the prime factors of j(-7).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + 2608\/24. Let t = 157 - y. Suppose -t*r + 357 = -45*r. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**2 + 3*d**2)*(-3 + 3 + d**3 + (-3 + 20 - 12)*(d - 3*d + 4*d)*(-2*d**2 - d**2 + 2*d**2)).\nAnswer: -18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 0*h**2 + 5*h**2)*(11 - 8*h - 11)*(0 - 3 + 5).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 10*i - 100. Let h = -46 + i. Suppose -4*y + 4*o + 16 = -4, -y - h*o = -5. Solve -2*k + c = 2*k - 24, 0 = -3*k + y*c + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*m**5 - 8*m**2 + 7982*m.\nAnswer: -1780*m**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + y**2 + y + 1 + 2*y - 3 - 2*y in the form r*y + s + d*y**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*1*sqrt(171)*-3)\/((-3*sqrt(324) - sqrt(324)) + sqrt(324) + sqrt(324) + sqrt(54)\/(sqrt(18)\/sqrt(3))).\nAnswer: -72*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-6)*1080\/75.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 3. Let k(b) = -b**2 - 2. Let z(v) = 6*d(v) + 4*k(v). Let r(j) = 2*j. What is z(r(p))?\nAnswer: 8*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 7*n - 3. Let d be i(-6). Suppose -d*q + 6*q = 111. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 - 76*i**2\/7.\nAnswer: i**2*(i - 76)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 1, a: 4, b: 1, f: 1}. What is prob of sequence faab?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**8\/1848 + b**6\/330 - b**4\/132 + 3*b**2\/2 + 5. Let q(i) be the second derivative of m(i). Factor q(z).\nAnswer: -2*z*(z - 1)**2*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 3*i + 2. Let s be l(3). Let o(x) be the second derivative of -x**4\/12 + 5*x**3\/6 - 3*x**2\/2 + 8*x. Let p be o(s). Solve 8 = -p*f + 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3147)\/122733 + (-3394)\/(-39)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2729830904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, and 2 x when four letters picked without replacement from {x: 6, m: 3, v: 1, y: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 842 + -829. Solve 4*x = -5 + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2845960?\nAnswer: 2845960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 219383, 438738, 658069, 877364, 1096611?\n\"Answer: -2*m**3 + 219369*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 412152971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/2 + 3779317*c\/2 + 24565476 = 0.\nAnswer: -3779304, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3589*z - 2 = 3592*z, -d = -5*z + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/5)*q)\/q)**(-42)\/(q**(-1\/5)\/q)**20)**27 assuming q is positive.\nAnswer: q**(5508\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 645. Let s(h) = 9*h + 430. Let a(c) = 2*m(c) - 3*s(c). Let t(z) = -689*z. Calculate a(t(w)).\nAnswer: 4823*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0652*-0.2.\nAnswer: 0.01304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (8 + -5 - (0 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**3 - 3*a**2 + 2*a + 2. Let r = 202 - 199. Let n(t) = 2*t**2 - 3*t - 3*t + 3*t + 3297*t**r - 3 - 3302*t**3. What is -2*n(p) - 3*o(p)?\nAnswer: -2*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 1112, -12, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4626512977 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: What is the ten thousands digit of 196263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1473)\/3928)\/((-5)\/(5\/(-12))).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:36 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Is 581\/1*(f + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/((1218\/(-8))\/(-29)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g - g)*(-101 + 268 - 167 + 1072*g).\nAnswer: -2144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -1. Let y(h) be the second derivative of h**3\/6 - h**2\/2 + 3673*h. What is y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314238.\nAnswer: 2, 3, 83, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10 - (266\/70 - -16).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 28. Suppose -i = -6*i + a. Suppose -i*b + f = 1, 3*f + f + 22 = -b. Put -7, b, 5, 3 in increasing order.\nAnswer: -7, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 0*b**2 + 0*b**5 + 0*b**4 + 0*b + 6 - 1\/2*b**6 + 4\/3*b**3. Find the third derivative of q(o) wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w + 5. Is s(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2452395 rounded to 3 decimal places?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/8)\/(6*(-2)\/32). Let l be (-10 - f)\/(4\/230). What is the highest common divisor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (2 - (-12 + 11 + -7)) - 43?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -0.2, -3\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 13*i**2 - 57*i - 25. Give s(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:40 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.04954255+-163414\nAnswer: -163414.04954255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(156) + 6*sqrt(156)*2)*-3)\/(sqrt(240)\/sqrt(5)*3).\nAnswer: -13*sqrt(13)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (44 + -48 - (1 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (457 - 168 + 262 + 591)*(17*d + 3*d + 6*d).\nAnswer: 29692*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -421 + 21469\/51. Which is the smallest value? (a) s (b) 9 (c) 5 (d) 0 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -16*u + 70. What is the hundreds digit of x(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/346210 and -4\/45?\nAnswer: 3115890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p**2 - 16*p**2 + 23*p**2)*(-18*p**2 + 16*p**2 - 10*p**2).\nAnswer: -300*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -79, 3, 0.501?\nAnswer: 0.501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/60 + j**4\/8 + j**3\/6 - j**2. Determine x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -3. Let r be (-8 + 4)\/(-8)*8. Suppose 4*g + g = m - 88, -r*m - g = -289. What is the remainder when m is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-75))\/((-6)\/9). Which is the third smallest value? (a) -2 (b) t (c) -1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -27.7. Sort 2\/5, i, 4\/7, 2.\nAnswer: i, 2\/5, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - t**3 - 3*t**4 - 2*t**4 + (-1 - 6 + 5)*(-43*t**3 - 199*t + 199*t)*(-4*t + t + 0*t).\nAnswer: -260*t**4 - t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 0*s)*(0 - 1 + 3)*(368*s**2 + 373*s**2 - 478*s**2).\nAnswer: -1052*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 52 = 3*o. What is the remainder when o is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1)\/k)**(1\/42))**(-1\/4))**9)**(-50) assuming k is positive.\nAnswer: k**(-75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15*18\/45 - -11*(-22)\/(-2). Solve -41 = 28*v + r for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**2. Let x(v) = v**2 + 1. Let j(r) = 70*r**2 + 77. Let z(g) = -2*j(g) + 154*x(g). Let y(p) = 11*k(p) - 6*z(p). Let h(t) = -t. What is h(y(a))?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 105822.96 months in years?\nAnswer: 8818.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.191 + 0.809. What is the smallest value in -2\/3, -2\/11, 17, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 84480 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + -5 + 2 + sqrt(2736) + 3) + -5)**2.\nAnswer: -1248*sqrt(19) + 43945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100718 is divided by 147?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdvtrwvg. Give prob of sequence dg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1779 - 21223\/12. Calculate the common denominator of -2\/117 and l.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 13523800.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s - 7. Let f be q(1). Let x be f\/4*(-248)\/(-44) + -3. Let p = 4\/15 + -2\/5. What is the second biggest value in x, p, 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Suppose 2*c = -z*c + 4. Is 1\/(-2) + 155\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24835 + -74509\/3. What is the fourth biggest value in 4, -0.1, 0.1, -14.7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2450 + 2479. Let s = -36 - -55. Let u = s + c. What is the highest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/232 and -41\/464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 11*l + 6. Let g be f(-10). What is the third smallest value in 1\/3, -0.4, -6, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 8*f + 10. Let g(t) = 4*t**2 - 32*t + 40. Let z(x) = -2*g(x) + 9*l(x). Let r be ((-440)\/154)\/(2\/(-7)) + 2. What is the units digit of z(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**3 - 7*z + 2. Let m(f) be the second derivative of -4\/3*f**3 - 1\/4*f**5 - f + f**2 + 0 + 0*f**4. Determine -5*m(d) + 6*u(d).\nAnswer: d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/9 and -4\/133081 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 30 = -3*t + 5*a, -8 = 2*a. Let b = t + 11. Calculate the least common multiple of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613491590 to the power of 1\/2, to the nearest integer?\nAnswer: 24769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - ((7 - -6) + 3)) + -22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214248.54 months to millennia.\nAnswer: 17.854045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -274 + 15?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k - 1. Let b(y) be the first derivative of 1\/3*y**3 - 14 + y**4 - 3*y**2 + 4*y. What is b(w) + 6*d(w)?\nAnswer: -2*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7958267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*m - 20. Let o = -7 + m. Calculate the highest common divisor of 77 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 43\/731*34\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q**4 - 3*q**3 + 2 - 126*q**2 + q**3 - 2*q**3 + 128*q**2 + 3*q**3 in the form l*q**4 + g*q**3 + r + n*q + d*q**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 64. Let r = 18 - j. Suppose r*p + 43 = 401. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.144 in -5, 9\/103, 0.326?\nAnswer: 9\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 10 = -7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(4*sqrt(486)))\/((sqrt(2304) - (sqrt(2304) - sqrt(2304)*-4) - sqrt(16)) + sqrt(16)).\nAnswer: -sqrt(2)\/3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 + 215*l**4 + 795*l**3 + 565*l**2 - 800*l - 780 = 0.\nAnswer: -39, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from nsuql.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - -101. Suppose 5*a - 2*a - 12 = 3*z, 0 = 3*z + 12. Suppose 0*f + n*f - 2 = a. Solve 2*k - 2 = o - 1, 0 = 4*k - o + f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2546 = 7*c - 3*c, 0 = 5*c + 2*z - 3191. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(1\/3))*v**(1\/8)\/v*v)\/(v\/(v\/((v*v**(1\/3))\/v)))**(-26))\/((v**0\/(v*v*v*v**(-2)*v))\/((v*(v*v**(-2\/17))\/v)\/v**(-3\/4))) assuming v is positive.\nAnswer: v**(5341\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. Let w = x + 0. Which is the second smallest value? (a) w (b) 5 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110407, -2.79, -0.3.\nAnswer: -2.79, -0.3, 110407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4361\/970 + 2\/485. What is the biggest value in x, 3\/2, 1\/10, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**2 + y**2 - y**2 + (5 - 2*y**2 - 5)*(0 - 2 + 3) + (y - 3*y + 4*y)*(2*y - 9*y + 6*y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246*z**3 + 287 wrt z?\nAnswer: -738*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 139*a - 28. Give k(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*s**3 - 26901*c*s + 2*c + 1709*s**3 + 3725 wrt c.\nAnswer: -s**3 - 26901*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**6 - 3*g**5 - 2807*g**4 + g**2 - 9724*g - 2 wrt g?\nAnswer: -840*g**3 - 180*g**2 - 67368*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 137137555 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*u + 1\/3*u**2 + 0.\nAnswer: u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 2*t**2 - 4. Let b(q) = -15*q - 38. Let n be b(-3). Let z(o) = 6*o**3 + 7*o**2 + 13. Give n*i(a) + 2*z(a).\nAnswer: -2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76350353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46.8 - -47. What is the second smallest value in 1, 2\/3, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -198.2 and -5925.2.\nAnswer: -6123.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5202.7 + -5203. Let m = -0.03 + 0.43. What is the smallest value in 6, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-12 + -1 + 90 + -85).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.1071cm in millimeters?\nAnswer: 671.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**2\/8 - 10563*d\/4 - 317565\/8 = 0.\nAnswer: -15, 7057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by -15*126\/(-35) - 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.068892 and -3.14.\nAnswer: 0.21632088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -92.1. Let r = -4 + y. Which is the second biggest value? (a) -0.5 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-180) - (-3)\/(-6)*0. Let i = w - 17\/90. Which is the closest to 1? (a) i (b) -2 (c) -2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppupuuuuppp. Give prob of sequence uu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (24 - (14 + -2)) - -15\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - -22112001110?\nAnswer: 22112010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -275, -570, -963, -1442?\nAnswer: -1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -12, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*t**2 - 130*t**2 - 5*t + 256*t**2 + 6*t - 3*t.\nAnswer: 7*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*m**3*r**2 + 2*m**3*r + 24*m**2 + 2*m*r**2 + 2*m*r + 5*m - 447*r**2 wrt r?\nAnswer: -50*m**3 + 4*m - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:27 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19880*p*s**4 - 329*p + 143*s**4 + 2160 wrt s?\nAnswer: 79520*p*s**3 + 572*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 653103862*v**3 - 170463158*v?\nAnswer: 3918623172*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -9. Let f = 176 - 172. Which is the smallest value? (a) f (b) z (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 25*j**2 + 14*j + 30. Let y be h(-13). Let p = 50 + 35. Calculate the highest common factor of p and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 4. Let y be 57\/s*(1 + -3). Suppose 0 = -2*h + y + 13. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-4 - (3 - 1)). Let n = 7 + q. Sort -2, -5, n in decreasing order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = 5*s, 10*c - 11*c = 2*s. Differentiate -22 + c*l**3 + 3 + 3*l**2 + 86 wrt l.\nAnswer: 18*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 63804.\nAnswer: 127608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -501 - -515. What is the fifth biggest value in c, 12, -4, 3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-13 - -7 - -11) - -9 - -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2 + 1386654*x + 160234109643 = 0. Calculate x.\nAnswer: -231109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75512 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 11*n + 6. Let f be q(8). Let j = 248 - 151. Let s = j - f. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*y**4 + 4\/3*y**2 + 0 + y**3 + 1\/3*y**5 - 4\/3*y.\nAnswer: y*(y - 2)**2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+3566.096027\nAnswer: 3568.096027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1250*d + 13726. Give x(-11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/j)**(10\/9)*(j*((j*j**(-1))\/j)\/j)**35*((j**(-1\/4))**(-5\/3))**(-1\/9) assuming j is positive.\nAnswer: j**(-3875\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = 13*t + 1365. Let c = -102 + t. Suppose -2*f - c*f + 5 = 0, -2*z = 5*f - 299. What is the greatest common factor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 129*a + 7*a + 9*a + 110*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 + 6\/2. Solve -s*i = -o + 2*o, -5*i + 4*o = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -32. Let z = 26 - x. Let v = z + 14. Calculate the highest common factor of v and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10167828*o - 4280478.\nAnswer: 10167828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*s - 23. Let g = -29 + s. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*v - 1216*v + 607*v - 2 - 1 + 3 - 3.\nAnswer: -5*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*u**3 - 31*f*u**2 - 9*f*u + 220*f - 71*u**3 - 28899 wrt f?\nAnswer: -2*u**3 - 31*u**2 - 9*u + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**0)\/i)\/(i**(-2\/5)*i*i))**28\/(i**(-1\/2)\/i**5*(i*i*i**(2\/5))\/i**(-2)) assuming i is positive.\nAnswer: i**(-437\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.85 + -2866.85. Let z = w + 2825.00001349. What is z rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -623*h - 602*h + 1236*h as f*h + b and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = -5*x, 0 = -x - 2*b - 1 - 5. Let o(h) = -4 + 6 - x - h. Let r(k) = k**2 - 6*k. Let q(s) = 6*o(s) - r(s). Let y(n) = -19*n. Calculate q(y(m)).\nAnswer: -361*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6284294*d - 5*s + 200 = -6284289*d, -2*d = 51*s - 227 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from hhzhhhhhzhzzhz?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12 + 6962 + 99\/9)\/((-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 14*b - 1. Let z be l(-5). Let t be (-2)\/(z\/(-12) + 3). Suppose -x - 15 - 248 = -t*f, 4*f = 5*x + 358. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*m - 36345, 36327 = 2*x - 0*m - m. Is 84 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*a**2 - 289*a**2 + 181*a**2.\nAnswer: -385*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8646618*-0.2.\nAnswer: -0.17293236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115610767 is divided by 357928.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862 = -47*f + 102*f - 5*w + 192, 6*f - 2*w - 186 = 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 50*y**2 - 96*y**2 + 42*y**2. Let a(p) = 8*p. What is a(c(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84)\/63 + (-80)\/(-42). Let k = 21 + 2. Suppose k = 3*h - 1. Which is the biggest value? (a) l (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109.94 + 110.04. Let s be (-2)\/(-20)*4\/2. What is the fourth smallest value in -3, m, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 3 + (5 - (-9 + -41)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 60*i - 50. Let s be h(-21). Solve 0*r + 4*l = -3*r - s, 0 = 2*r + 4*l + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 - 4*i + i**2 + 3*i**2 + 5. Let d be g(-4). Suppose 6*q = q + d. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1116\/(-42) - (-512)\/64)\/(50\/175)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1821.6 + -1814.7066. Let g = -6.81 + x. Round g to three dps.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3, -5 - 39 = 5*t - 4*d. Let x = 38 + t. Let y = x + 52. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346683 - -346683. Let b = 0.06 + -8.06. Let i = -3 - b. What is the biggest value in i, -3, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(5) + 0)**2 + sqrt(5) + 3 - -1*sqrt(125) - (((sqrt(240)\/sqrt(4))\/sqrt(3))\/sqrt(4))**2).\nAnswer: -2 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/((-100)\/15))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 14945d?\nAnswer: 14945b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + i + 2. Let c be d(-2). Suppose 94 = 13*a + 251 + 90. Put 3, c, a in descending order.\nAnswer: c, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 258894, 258890, 258882, 258870, 258854?\n\"Answer: -2*g**2 + 2*g + 258894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2184 - -1710. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(12)*1.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4366 + -4371. Sort 0.4, -0.1, f, -16, 0.3 in ascending order.\nAnswer: -16, f, -0.1, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -5, -2 in descending order.\nAnswer: -2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/3614373 and -68\/6489?\nAnswer: 3614373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6182074 by 3091037.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let z = -1 + r. Let q = 3 + z. Which is the closest to 0.1? (a) -3\/7 (b) q (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -181.7 * -11.\nAnswer: 1998.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*b + 16, 0*l - 8 = -l - 2*b. Differentiate u - 2*u + l*u - 1 + 0*u wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -57, -4305 in ascending order.\nAnswer: -4305, -57, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7736792 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2596, 4493, 6388, 8281, 10172, 12061?\nAnswer: 13948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -5*r**3\/3 + 3*r - 2. Let i(h) be the first derivative of x(h). Let w(f) = 2*f. What is w(i(d))?\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in 0.2004, -4, -2\/23?\nAnswer: 0.2004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:10 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/20 - g**4\/2 + g**3\/6 + 3*g**2 - 3*g. Let w be m(-6). Let d be -6399 + 2 + (-3 - w). Round d to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*sqrt(128).\nAnswer: 2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121805, 245962, 370121, 494282, 618445, 742610, 866777?\nAnswer: 990946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 81.6, 10, -730 in increasing order.\nAnswer: -730, -0.3, 10, 81.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -837, -825, -809, -789?\n\"Answer: 2*m**2 + 6*m - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 44000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132766, -265685, -398604, -531523, -664442?\nAnswer: -797361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5 (b) 1 (c) 1\/2 (d) -1 (e) 548\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 6595830?\nAnswer: 46170810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*c = -5*l - 3*l - 238, 5*l = 413*c - 416*c - 237 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, -115, -2, -538?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10346 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9460697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 901220 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 - 2452*u**2 + 57118*u - 1712. Give s(-840).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*y + 5. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.0473cm in meters?\nAnswer: 6.150473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.4, 1.3, -3\/5, 2\/9, -529 in decreasing order.\nAnswer: 4.4, 1.3, 2\/9, -3\/5, -529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15449561?\nAnswer: 15449561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8765 - -19612. Let l = 10933.98 - m. Let d = -9.38 + l. What is d rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -55, -113097.\nAnswer: -113097, -55, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(0 + 27\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 67, -2, 4\/19, -206, 2, -3\/2, -0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 14*w + 2. Let y be a(-14). Solve -4*j - 12 = -5*k, -j - 4*j = y*k - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enheeeefyeeeeeeen. What is prob of picking 1 f, 1 y, and 1 h?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 4*n - 1 = 28*f - 8, 3*n = -f + 9 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6885, 6888, 6891, 6894, 6897?\nAnswer: 6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/442 and 79\/51.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 32 = 2. Let w = -22 + n. Find the third derivative of -15*x - w*x**2 + 15*x - 4*x**3 wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -0.1 (b) 2\/11 (c) 24 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1081500 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**3 + 4*c**2 - 6*c + 5. Let y(g) = 11*g**3 + 7*g**2 - 11*g + 9. What is -7*k(w) + 4*y(w)?\nAnswer: 2*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or -527\/4?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + 1. Suppose -4*i - 5 = i. Let b be z(i). Suppose 18 = -4*d - 0*d + 2*y, 24 = -5*d + 4*y. Which is bigger: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -12)*(-3)\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let y(w) be the second derivative of 93 + 2*w**2 - 1\/20*w**5 + 8\/3*w**3 + 5\/4*w**4 - w. What is y(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310*q - 4 + 235*q - 360*q - 199*q + 3600*q**4 - 2 wrt q.\nAnswer: 43200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 j when three letters picked without replacement from ujtuuuaujauttwuuu.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47031457921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -27*k + 2470. Let x = k - 417. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u - 8. Let l be w(-6). Let f be 90\/32 + 678\/3616. Solve 2*r = n - f*r - 20, 0 = 2*n - 4*r - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/71? (a) 1\/2 (b) -1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 + 28660*d - 9431282 = 0. Calculate d.\nAnswer: 337, 13993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10870597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (30 - 11) + 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 195*t - 3. Let q = 17 + -19. Let f be z(q). Is (-2)\/3*f\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -4) + -6 + -2 - (16 + 32).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 5*g - 4. Let f = -8 + 4. Let q(x) = 6*x + 3*x - 3*x + 5 - 6*x**2. Give f*l(n) - 3*q(n).\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5622358 and -85\/5977167.\nAnswer: 1231296402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 8*n + 9 = 0. Suppose -4*q = 3*p - 2*q + 88, 0 = n*p - 4*q + 112. Is p greater than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3474639, 3474729, 3474819, 3474909?\n\"Answer: 90*q + 3474549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 122 = -4*m - 165, 0 = 4*y + 5*m - 18. Solve 19*g + y + 50 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.816 to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 + 5*j**2 + j - 25. Let c(a) = -a**3 + 2*a**2 - 13. Let v(m) = -7*c(m) + 4*n(m). Let t be 8\/10*45\/6. Determine v(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 365, 346, 327?\n\"Answer: -19*n + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469.754 weeks to days.\nAnswer: 3288.278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s - s**3 - 4*s**3 - 7*s**2 + 4*s**3 - 2. Suppose -3*h - 10 = -h. Let a be r(h). Round a to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015028734 rounded to 5 decimal places?\nAnswer: -0.01503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 0, -5 = -z - z - 5*q. Suppose 2859 = 3*b - z*u, -6*b = -4*b + 2*u - 1906. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l - 3*y = -66*l + 1854, 3*l = -5*y + 5520. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (5 + 413\/63). Let x = -1.1 + 1. Which is the closest to -1? (a) x (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139.4 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19703?\nAnswer: 17, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + s + 9, 0 = 152*c - 149*c - s + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-39)\/(-13))\/((-3)\/(-20)). Suppose 38 = 5*o + 2*r, -s = -8*r + 3*r. Solve -2*b = -0*b + o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 12) to base 10\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27494 >= -27494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 169160267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 1743*x - 397*x + 0*x**3.\nAnswer: x**3 + 1346*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 16994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4ac (base 15) to base 6\nAnswer: -4530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 - -4.11. Let p = 3 - k. Let c = 0.967 - -2.033. Sort -3, p, -0.3, c.\nAnswer: -3, p, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*b**4 + 2*b**3 + 2*b**2 + 2443*b - 866789 wrt b?\nAnswer: 40*b**3 + 6*b**2 + 4*b + 2443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024862 to 6 dps.\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 1, s: 1}. What is prob of sequence jjs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h = -1256. Suppose 0 = -4*j + 2*p - 4*p + 5002, 1268 = j + 4*p. Let c be -2 + 1 + j\/h + -1. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20772)\/90)\/(2\/10))\/20 + 48\/(-160)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 703.5 + 8912.5. Let d = q - 9615.877404. Let p = d - 0.123. Round p to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-11 - 10) - 4 - (-18 + 104).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v - 3 + v**2 + 0*v + v + 3*v. Let i be a(-3). Solve -6*h + 3*h - i = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Let x = 23.17 + -23. Let h = x - -0.13. What is the third biggest value in h, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h**2 + 12. Let p(l) = -l. Calculate p(m(j)).\nAnswer: 11*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2683*b**2 + 1890*b + 1777216.\nAnswer: 5366*b + 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 22*c**2 - 1307*c - 6471. Determine q(64).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -2 (c) 1 (d) -2981 (e) 2 (f) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 6}. What is prob of sequence of?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 65 = -4*a - a, 0 = 5*l + 3*a - 69. Let y = l + -11. Suppose u - 5 = y. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(847) + sqrt(1008) + -1 + sqrt(1008) + 5*(0 + sqrt(7)) + -4.\nAnswer: -1 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let p = h + -1. Suppose 1 = -y - 2*w, 20*y - 2*w = 17*y + 13. Which is the biggest value? (a) -5 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41348408 is divided by 449.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -565 + 563. Let w = 35 + -177\/5. Which is the biggest value? (a) 0 (b) w (c) 1\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 2:12 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16576 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 168127 = 648127. Let i = -5 + 8. Suppose -i*w - f = -4*w. Round w to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -24*o**2. Let n(w) = 170727 - 148*w**2 - 170727 - 46*w**2 + 42*w**2. Calculate n(z(k)).\nAnswer: -87552*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {p: 6, t: 3, v: 6}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 1674*i**2\/5 + 25279*i\/5 - 94584\/5.\nAnswer: -(i - 8)*(i - 7)*(i + 1689)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0878*0.5\nAnswer: 0.0439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 (base 6) in base 3?\nAnswer: -21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-2 + 3)) + 13 - 7 - 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 3*j**2. Let t(u) = 2*u**2. Let q = -243 - -234. Let y be (6\/q + 1)\/(10\/(-120)). Determine y*r(s) + 6*t(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2874 - 2897. What is the closest to q in -3\/4, 0, -4, -3\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + 1. Let v be f(2). Let o = -4.7 + 5. Which is the second biggest value? (a) o (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5818 - -5822. Solve 16 = -4*l, -z*r + 20 = -8*r - l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 8*o. Which is the nearest to o? (a) 3 (b) 0.2 (c) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161203 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**5*j*j\/(j\/((j*j\/(j*j**3*j*j))\/j))*j*j*j\/((j*j**(-3)*j)\/j)*j*(j*j**(2\/7)\/j)\/j)**(15\/8) assuming j is positive.\nAnswer: j**(765\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 22*a - 2. Determine y(12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 391 + -226. Suppose 0 = -5*f + 10*f + t. Let a be 11\/f + 8\/3*2. Solve -4*p + a*l = 29, 20 = 5*p + l + 4*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -933*h + 43*h**2 + 11*h**2 - 3785*h - 52*h**2 as m + c*h**2 + d*h and give d.\nAnswer: -4718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -453 + 455. Which is the nearest to 0? (a) l (b) -0.3 (c) 5\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10 + 1 + 992\/(-705).\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -4*w**3\/3 + 22*w**2 - 72*w - 251. Factor d(x).\nAnswer: -4*(x - 9)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -913 + 910. Let z = 119\/4 + -30. What is the closest to z in 3, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 2\/25, -1\/6.\nAnswer: -1\/6, 2\/25, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 559*o + 21780. Give c(-36).\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 239113485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3062454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6318 - 86*b + 6315 - 52*b as s + c*b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2769, -5530, -8289, -11046?\nAnswer: -13801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55993 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 27. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1082509*r. Let n(c) = -3*c**2. Give n(k(a)).\nAnswer: -3515477205243*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmm. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7160)\/12530*(-35)\/6*(-15)\/(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 5*c**3\/6 + 1368*c. Let z(r) = -2*r - 156. Determine z(t(g)).\nAnswer: -10*g - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 8 + (118 - 127).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 15\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259 divided by -15.\nAnswer: -259\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*i**6 + 593*i**5*r**2 + i**2*r**2 - i*r + 283*r wrt i?\nAnswer: -5880*i**3 + 35580*i**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 20 = -5*b, -128 + 153 = 5*y. Let f = -2 + 2. Suppose -3*s = -p + s, 0 = 3*p - 4*s. Solve b*o + p*o = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28759*a**3*c + 134*a**2*c - 53*a*c + 14*c - 10 wrt a?\nAnswer: 172554*a*c + 268*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.99996811 - -0.9999. Round p to 6 dps.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 281145175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/588*6\/(-4) + 148\/21 + -7.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.035 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r + 1. Let s be f(5). Suppose 0 = -w + 4, 39*m + 218 = 37*m - w. Let p = s + m. Solve 4*n + d - 8 = p, d = -5*n + 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62.1 - -56. Let u = l - -6. Let a be 6\/12*2\/(-7). What is the nearest to u in a, -4\/3, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201411, -402816, -604213, -805602?\nAnswer: -1006983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -37b761b?\nAnswer: 37b761a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*f - 25 = 3*a, 4*a + 4*f = -20. Let q(j) = 17*j. Let v(n) = -9*n. Let h(k) = a*v(k) - 2*q(k). Let s(p) = -4*p**2. Determine s(h(o)).\nAnswer: -484*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8586 and 7914384.\nAnswer: 71229456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 - 2*n**2)*(-2*n + 2*n**2 + 2*n + (3*n + 0*n - 5*n)*(0*n + n + n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikiigigikkxhccxixik. What is prob of sequence xh?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-110)*0 - 166\/(-2). Suppose -10*l = -7*l + 2*d - r, 2*d + 4 = 0. Let j = -152 - -231. What is the remainder when j is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66774, 66777, 66786, 66801, 66822, 66849, 66882?\n\"Answer: 3*g**2 - 6*g + 66777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 2*m**4 - m**2 + (0*m**2 - 3*m**2 + 0*m**2)*(-32*m + 7*m**2 + 32*m).\nAnswer: -23*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 2543*i**2 - 7921*i**2 + 37 - 6 - 15 in the form y*i + j*i**2 + t and give j.\nAnswer: -10464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*k - 9 = 5, -5*k + 5 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/18 and ((-6)\/(-12))\/(3\/(-46))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167708 = -114*v + 27*v + 1209850. Does 143 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.024797141 to three dps.\nAnswer: 1.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brsaw. Give prob of picking 1 s, 1 w, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11045252*k**2*p**4 - k**2*p**2 - 26*k**2*p - 19720*k**2 - k*p**3 - 3*p**4 + 6*p**2 wrt p.\nAnswer: 265086048*k**2*p - 6*k - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6607, 6542, 6433, 6280, 6083?\n\"Answer: -22*c**2 + c + 6628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4803 - -4810. Solve -w*s = 7 - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2351 + -0.235101257. What is x rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000110110010100100000 (base 2) to base 10\nAnswer: 4416800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(1701\/99) - 6\/(-42))*-21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -54*6\/54*-3. Let m(f) = -f**3 + 19*f**2 - 9*f - 19. What is the tens digit of m(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiei when four letters picked without replacement from eieeeeeeeieeieee?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 22*f**2 + 21*f - 49. Calculate b(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -25 - (510 + -494)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-540)\/175 + 4 + -1. Let f = 79\/105 + j. Determine d so that -2\/3*d**3 + 0 - 4\/3*d**2 - f*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 2 - 19)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26351 times -1162\nAnswer: 30619862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.024 - 0.176. Is t bigger than -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*q + 303*q = 180. What is the nearest to q in -0.1, -5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*j - 15 = -4*r, -5*j = -2*r + 6. Suppose 0 = -4*g - 0*q + r*q + 42, 2 = -q. Solve -2*k = k - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 49 = -31. Suppose 2*z - 5*x - w = 13, -5*x - 80 = -5*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19543 - -19441.727. Let v = -4.179 - l. Let c = 97 - v. Round c to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 84. Suppose 2*l = -19 - 17. What is the remainder when d is divided by (-1 - l) + 0\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1012 smaller than -2511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2. Let l(b) = b**2 + 1. Let s(a) = 4*a**2 + 2. Suppose 3*k = -2*u - 7, u = -4*k + 2*k - 4. Let f(t) = u*l(t) + s(t). Determine f(n(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a + 13?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43058835 and 25085?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18354 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m**4\/9 - 269*m**3\/9 - 172*m**2\/9 - 28*m\/9 = 0. Calculate m.\nAnswer: -7, -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 + 10 + 39)\/((-7)\/3 - -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3 + 3 + (-4*u - 2*u + 4*u)*(2 - 1 - 2) + 3*u - 4*u + 2*u + 5 - 5 + 3*u)*(-2*u + 2 - 2).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4062605520 rounded to the nearest one hundred thousand?\nAnswer: -4062600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 144027 divided by 1231\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkkrknkr. What is prob of sequence rn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3990.674 grams to tonnes.\nAnswer: 0.003990674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4939, -2290, 357, 3002, 5645, 8286, 10925?\nAnswer: 13562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {f: 2, k: 1, i: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5207 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - sqrt(110)*5 - sqrt(110))*-3 - sqrt(110))\/sqrt(10) - sqrt(11)*4*4*6)**2.\nAnswer: 73964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*w, 4*w - 5*m = -0*w. Solve 0 = 4*t - 16 - w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 99.7 (c) -5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*d**5*k + 87*d**4*k + d**3*q - 192*d**2*k*q - 9*d**2*q - 4*d*k*q wrt d.\nAnswer: -2220*d**2*k + 2088*d*k + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 95. Let b = -43 - i. Calculate the remainder when (52\/(-16) + 2)\/(6\/(-480)) is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 51.2. Let b = -50.9992 - h. What is b rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 121. Suppose 7*o = l*o + 8. Let m = 83 + -11. What is the highest common factor of o and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 13*d**2 - 2*d - 30. Let c(b) = 5*b**3 - 40*b**2 - 6*b - 91. Let f(i) = 3*c(i) - 8*o(i). What is f(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 89238?\nAnswer: 713904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 32 = k. Let f = 14 + k. Let y(g) be the first derivative of -2*g**3 + 7*g + 1. Let m(h) = 5*h**2 - 6. Determine f*y(w) + 7*m(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r - 5*r + 13*r + 0*r + 12*r**3 wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 0. Let i = 16.3 - 16. Which is the nearest to 0? (a) i (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 371 or 3328\/9?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14506 + 15022. What is the smallest common multiple of z and 774?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 276668\/3 and 92224 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*m - 21828 = -40*m. Calculate the lowest common multiple of m and 30.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93203932.\nAnswer: 2, 23300983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10761\/68 - 1\/4. Let u = 671 - o. Is 57 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 10*g - 19. Let b be v(-14). Suppose b = -6*f - 449. Let n = f - -86. Solve n*x + 2 = -3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 + 2*t. Let o(r) = 8*r - 22. Let x be o(3). Determine l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 62 = -4*h, -h + 0*h + 4*p - 7 = 0. Let j = h + 23. Let a(r) = r**3 + 4*r**2 - r - 1. Let f be a(-4). Solve -f*c = c + j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -660.858 - -0.858. Let s = 659.9999504 + r. Round s to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -15, 4*u + 9 = -2*r + r. Suppose 2*w - 10 - 2 = -4*h, 0 = -5*w - 2*h + 14. Suppose r = w*j - 1. Solve -m + 12 = j*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fte when three letters picked without replacement from ttftfqfeffetzeee.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and 498.7.\nAnswer: -1196.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-26)\/(w**4)**(13\/6) assuming w is positive.\nAnswer: w**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 54.16, 6, 4\/3, 9, 0, -1 in decreasing order.\nAnswer: 54.16, 9, 6, 4\/3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-3 + 170) - 2. Let c = -224 + x. Suppose -4*m - 4*l + c = 0, -3*l = 5*m + l - 140. Calculate the highest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 + -2193673.\nAnswer: -2193671.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 95*x + 2618*x**2 - 87*x - 2624*x**2 to the form f + q*x**2 + j*x and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 34. Suppose -5*l - 56 = -4*o - 3*l, -2*l = 2*o - 16. Let x = u - o. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and 12.6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - 472\/(-24))*3\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122256\/8490*(-15)\/32.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 41 = 3*k, -158*x + 163*x = -2*k + 25 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejze when four letters picked without replacement from zzeezzje.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520429869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(162))**2 - (sqrt(50)*2)**2).\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1102145?\nAnswer: -1102140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 19. Let g = -1 - 1. Let p be (-1 - g)\/(1 - 0). Sort p, d, 2 in decreasing order.\nAnswer: 2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*74733\nAnswer: 224199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -63*i**6\/2 + 300*i**5 - 3105*i**4\/4 + 530*i**3 + 162*i**2 - 120*i + 265. Solve u(f) = 0.\nAnswer: -2\/7, 2\/9, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.02 + 0.721\nAnswer: 9.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90083 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 6:38 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8.841*1\nAnswer: -8.841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98110363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 - 122. Let v = -69 + f. Suppose -v*n + 3*m = -m + 8, -3*m = -n - 11. Which is the nearest to 0.2? (a) 2 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3762)\/222 - (-30)\/(-555).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18*1*20\/((-380)\/19)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13795784.49 rounded to the nearest ten thousand?\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4954778.\nAnswer: -2\/2477389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -127 and -128 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + ((-6)\/(-9))\/((-2)\/3). Let v be (g\/((-32)\/18))\/((-30)\/40). Factor -9\/4*n + 0*n**2 + 3\/4*n**3 - v.\nAnswer: 3*(n - 2)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2556)\/(-14))\/(6\/189*(-177)\/(-236))?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f - 117. Suppose 3*s = -3, -3*i + 2*i = 3*s - 5. Calculate the remainder when i is divided by x(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 50?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 41. Determine f(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + -15. Let k = 87 + s. Suppose 3*y - k*y - 4*w + 52200008 = 0, y + 3*w - 17400006 = 0. Round y to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 9. What is d(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**8\/2352 + w**7\/245 + w**6\/105 + 6*w**2 + 6. Find n such that f(n) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 2 - (-55 + 73) - -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -1*sqrt(720))\/(-2*sqrt(8)\/sqrt(2)).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -754 + 761. Let q(o) = -541*o - 436. Let s(y) = -270*y - 218. Let u(n) = k*s(n) - 3*q(n). Differentiate u(i) with respect to i.\nAnswer: -267","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 38*w + 6 - 12.\nAnswer: 38*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(175) + sqrt(175)*-1 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2 - (0 + 1)). Suppose 21 = 4*r + p. What is the second derivative of -r*d + d**4 + 3*d + d**4 wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzld when four letters picked without replacement from {z: 4, d: 1, l: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4553584?\nAnswer: 2, 7, 109, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -39\/7 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269039 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11))**(-46)\/((n**(-5\/7)\/n)\/(n*n\/(n\/(n*n*n*n**(-4\/9)*n))*n)) assuming n is positive.\nAnswer: n**(10834\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*k - 35. Let r be (-1 - -1 - 1) + 11. Solve -k*d + 13 = 3*n, 0*n + r = 2*n + 4*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -581*n - 4819. What is o(-8)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 627?\nAnswer: 627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 + 2*o**4 - 109 + 100)*(o + o - o).\nAnswer: 2*o**5 + 64*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -27, -5, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by -3 - -21 - (-1 + -1 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 429.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4)*-1)\/(sqrt(128)*-5 + sqrt(2)).\nAnswer: -sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 73, 160, 281?\n\"Answer: 17*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-39732)*43*(-33)\/(-15).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*p = -7, -4*p + 18 - 3 = -5*g + 31 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6*l - 32. Suppose -46 = -l*j + 6. Let b = 49 + j. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 3*g**5\/5 + 3*g**2\/2 - 7. What is the second derivative of k(n) wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 + t**2 + 3*t**2 + (-4*t**2 + 4*t**2 - 3*t**2)*(-1 - 2 + 4) + (-24 + 24 - 2*t)*(3*t - 6*t + 4*t + 1).\nAnswer: -6*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 5*x**2 + 6*x + 2. Let f be w(4). Suppose -2*r = 2 - f. Let v be 2\/6 + 22\/6. Solve -v*k + 0 = r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (484*g - 818*g + 432*g)*(-9*g**2 + 9*g**2 - 4*g**3) to the form z*g + s + d*g**2 + p*g**4 + c*g**3 and give p.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f. Let o(u) = 24*u. Let x(s) = -314 + 42*s + 314 - 19*s. Let j(m) = 3*o(m) - 2*x(m). Calculate j(b(t)).\nAnswer: -78*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -14. Let i be (r\/(6\/(-3)))\/1 - -163. Suppose w - 216 - i = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 16*f + 5. Let w be b(-8). Suppose -w*d + 1593 = 5*v + 413, -478 = -2*v + d. Is v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 6*g - 2. Let o(s) = 7*s**2 - 13*s + 5. Let d be (-1)\/6 + (-158)\/(-12). Let l = 8 - d. Let r(h) = l*u(h) - 2*o(h). Factor r(c).\nAnswer: 2*c*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2749*k - 92400 = -4149*k for k.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*d + 238. Let i = -50 - d. What are the prime factors of (1 - -3*(-10)\/(-18))*i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 12*i - 1. Let c(r) = r**3 + 4*r**2 + 3. Let n be c(-3). Suppose 33 + n = 9*t. What is the remainder when 33 is divided by g(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m + 12. What is the tens digit of p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(-2 - 1 + 11)*(0 - v + 0 + (2*v - 2 + 2)*(0 - 2 + 3) + (2 + 2 - 2)*(1 + 5 + 1)*(4*v - 2*v - v)) to q*v + h and give q.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -193*q + 100 - 67 - 31. Let x(d) = -2*d. Calculate x(i(w)).\nAnswer: 386*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -46. Let s be 0*((-14)\/z + 3). Suppose -3*n + 27 + 279 = s. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8209.7809 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240159 + 792137 = 8*i. Suppose i + 31477 = 34*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h - 15. Suppose u = -3, -3*u + 22 = h*v - 2*u. Let y(k) = 2*k**2 + 18*k + 14. Let p be y(-8). Sort p, v, 1 in ascending order.\nAnswer: p, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -67.73157?\nAnswer: 66.73157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 66 - 23. Let j = b - -63. Solve 3*m + 2*m = -j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20899383 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13*j + 34 = -16*j, -3*i - 6 = -3*j. Suppose 0*l + l = 0. Sort i, 5, l in decreasing order.\nAnswer: 5, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1826882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.8 and 12.664.\nAnswer: 23.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -93, -132, -169, -204, -237, -268?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(208) + (0 + sqrt(208) + 0 + sqrt(208))**2 + sqrt(208) - sqrt(208)).\nAnswer: 4*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.41 + 1.59. What is the fourth smallest value in -4, 4\/9, c, -21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 - 3 = 0. Let z = 136 + -94. Calculate the highest common divisor of z and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let v(h) = 337*h**3 + h - 1. Is v(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 11*y**2 + 7*y - 5. What is u(11)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/4)\/(-2*2\/152). Let r = -68 - k. Let p(f) = 3*f**2 - 5*f - 2. Let j be p(5). What is the greatest common divisor of r and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5888791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 1. Let a(m) = -8*m + 0 - 2 + 7*m - 3*m. Determine 6*a(y) - 11*h(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 50229012*r - 50229012*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**2\/2 + 14*r + 3. Is 2 a factor of f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.2 - 34.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1780 = 4*q + 32. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 35. Let t be a(19). What is the units digit of (-4 + t)*-4*457\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9286139 rounded to the nearest 10000?\nAnswer: -9290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 4) + (-2 - (-6 + 0 + -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 times 0.045\nAnswer: 0.000495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146914 or 146916?\nAnswer: 146914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h**3 - 48*h**3 + 29*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61960015?\nAnswer: 5, 13, 37, 25763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 34*j**4 + 11*j**2 + 16*j**4 + 16*j**4 + 2*j**3 as w + r*j + v*j**3 + p*j**2 + t*j**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 33. Let u be -2*((-108)\/c)\/9. Let d(n) = 7*n**2 - 2*n. Is 21 a factor of d(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-305)\/(-244) + -1*(-19)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 4:25 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 - 221. Solve -u*d + 19*d = -18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2 - 1 + 0*l)*(0 + 3*l**4 + 0).\nAnswer: 3*l**5 - 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -2 - (-22 + 21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -13*x**5\/60 + 11*x**2 + 12*x. Let l(c) be the first derivative of q(c). Let k(w) = 2*w. Determine l(k(m)).\nAnswer: -52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-5) - (-1808)\/(-40). Let c = p + 48. Suppose -z = -2, 0 = -c*x - 0*z - 2*z + 22. What is the least common multiple of 33 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/24324 and 137\/276.\nAnswer: 559452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-50))\/(19\/475)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1899*a. Let t(l) = -21*l. Determine t(n(z)).\nAnswer: 39879*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 12*j**2 - 20*j + 18*j + (-3*j + j + 0*j)*(2*j - j + 0*j) - j**2 + 0*j**2 + 0*j**2 + 3*j**2 + 0*j**2 - 5*j**2.\nAnswer: -13*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (312\/(-96))\/13*56\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*q + 18247 = -11004 - 149 for q.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 538.4 + -526.4. Let w(v) = -v**3 - 6*v**2 - 6*v - 3. Let y be w(-5). What is the nearest to y in 2, -5, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 114 (b) 4 (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 + 139. Let l(y) = 3*y - 2. Let r(q) = 7*q - 4. What is h*l(t) - 2*r(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -22?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (0 - 2)) + 10 + -12 - 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:40 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 352826.000368 + -352973. Let w = h - -147. Round w to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Suppose 4*g - 871 = -11*b + 16*b, 3*b - 3 = 0. Suppose t*l = 8*l - g. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -130215075?\nAnswer: -130215083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 3. Let y(b) be the third derivative of b**4\/24 - b**3\/3 - 3*b**2. Let c(w) = -5*y(w) + 3*z(w). Calculate c(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 13. Let i be r(0). Let p = i + -7. Suppose -5*k + 2*u = p*u - 36, -5*u = -3*k - 8. Solve -k*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45810 + 32424 + 38828 = -5321*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 33 - 47. Let r(c) = 14*c - 7. Calculate the remainder when r(5) is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 10*u - 17. Let b(c) be the second derivative of 0*c**2 + 9\/10*c**6 + 0 + 9\/10*c**5 + 1\/4*c**u - c + 2\/7*c**7 + 0*c**3. Factor b(j).\nAnswer: 3*j**2*(j + 1)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592513?\nAnswer: 3, 7, 11, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -6, -11, -16?\n\"Answer: -5*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0.1, -177?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 32. Let k = 495257 + -23261477\/47. Let d = k - 332. Do d and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.1\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 + 9 = 5*v, 4*j = -3*v + 11. Suppose -2 + 10 = -4*c + 2*p, 1 = j*c + 3*p. Let s be (2 + (5 - 4))\/c. What is the closest to 2\/7 in -2\/11, s, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 8:01 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -256653 and -3.\nAnswer: 769959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5160 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 417\/22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 1. Let j(f) = -3*f**2 + 8*f + 9. Let m(h) = i(h) - j(h). What is m(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*h**2 + 308153 - 77033 - 77048 - 77037 - 77035 + 115*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, p: 14}. What is prob of sequence ppp?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, 2, -1 in decreasing order.\nAnswer: 6, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -250 + 250 - 27*u**3 - 4*u**3 + 4*u**3 + u**3 - 4*u + 4*u + u**3 + (-5 + 5 + u)*(3 - 3 + u**2).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (2 + sqrt(171))) + -3 + (sqrt(171) + 0)*6)**2.\nAnswer: -180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:16 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + r + 4 = 0, -3*v + 0*r + 2*r - 20 = 0. Let m be (-2)\/(-2) - (0 - v). Let x be m + (4 - (1 - 3)). Solve -x*t + 2 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50\/3, -34, -3\/7, 0, 4, 1 in ascending order.\nAnswer: -34, -3\/7, 0, 1, 4, 50\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -1\/50*v**5 - 6\/5*v**2 + 0*v**4 + 7\/15*v**3 + 0 + 216*v. Find y such that z(y) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -345 + 391. What is the remainder when 110 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3111?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 481, 1063, 1845, 2929, 4417, 6411, 9013, 12325?\n\"Answer: 17*c**3 - 2*c**2 + 469*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 578?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - 13*i - 23 - 6*i + ((-2 + 2 + 2*i)*(-3 + 3 - 1) - 2 - 2*i + 2 + 11*i - 4*i + 4*i)*(2 - 2 - 1).\nAnswer: -26*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13197984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/25131 and -37\/7?\nAnswer: 175917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 7. Let o(d) = d**2 - 1. Let p(z) = 2*z**3 - 12*z**2 + 16*z - 6. Let b(q) = u*o(q) + p(q). Factor b(x).\nAnswer: 2*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0.4, 9, -0.3 in increasing order.\nAnswer: -0.3, 0.4, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 449769925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-147)\/105*-5)\/14. What is the nearest to 0 in o, -3, -65, -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.5 + 85.5. Let c = 65 - o. Sort 0.4, -2\/3, 2\/3, c.\nAnswer: c, -2\/3, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + -3?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 1 = -5*k, 22*k + 3 = -367783*j + 367780*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -c5 (base 15) in base 12?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 95. Let l be (-3 - (5 + o)) + (-10899997 - 0). Round l to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -12)*(2 + -3). Let t = -13 + x. Let b = 38 + t. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 3*d + 3. Let f be w(3). Let r(k) = -7*k + 4. Let m(o) be the first derivative of -2*o**2 + 2*o - 41. What is f*r(g) - 5*m(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1672998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8236\/14413)\/(3\/91) - 14\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1591142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 2. Let g be d(-2). Let p be 2\/(-7) + 120\/28. Find the first derivative of -2*h**4 - h**p + g*h**4 - 1 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*t - 17, 10 = -d + 4*t - 0*t. Let i be d*(-2)\/8*0. Solve i = -0*r - r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3 - 536*m**2 - 532*m = 0.\nAnswer: -133, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 610*x + 115875.\nAnswer: -5*(x - 103)*(x + 225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/32)\/(10710\/3808)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/8 and 31\/34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.038 - -25.738. Let r = m + -26. Which is the nearest to r? (a) -1\/8 (b) 2 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3039, -3040, -3051, -3078, -3127, -3204, -3315?\nAnswer: -3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(136)*-3 + -4*sqrt(136)*2 + sqrt(136))\/((-4*sqrt(72) - (sqrt(8) + (sqrt(16)\/sqrt(2) + sqrt(8))*1))*-2).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d (base 16) in base 9?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from sksmww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 100 = -209. Let f = s - -172. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2201 + 352 = -4*z + 5*d, 0 = -5*z - 4*d + 2260. What is the greatest common factor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqq when three letters picked without replacement from yhqhyyhyhcyhhyyyhq?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j - 169. Let t be o(16). Let b be -5*(40\/t - -1). Solve 0 = 5*h - b*h - 3*c + 14, 4*h = 4*c - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/45*(-120)\/(-3).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1519 - 614. Let t(w) = -2*w - 44. Let i be t(-24). Suppose -i*b + 5715 = -r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 + 7*v**5 + 5*v**5 - 9*v**5.\nAnswer: 3*v**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 5*y + 4*y + 29. Put 5, y, 6, 4, -2 in decreasing order.\nAnswer: y, 6, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22\/3*w**2 - 8 - 1\/3*w**3 + 47\/3*w = 0 for w.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 397 - 391. What is the remainder when 69 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12726 is divided by 4232?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 13*c - 1.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/919?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -74729349*l**2. Let s(x) = -5*x. Determine w(s(t)).\nAnswer: -1868233725*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 10*z + 2. Let o be j(-10). Let s be 1\/o*-6 + 12. Calculate the greatest common divisor of s and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2900 and 115900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/((-1656)\/(-464) - 4\/58). Solve -t = -12*j + 34 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i - 37. What is y(-16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*t**3 + 416800*t**2 + 1240992220*t + 709002320.\nAnswer: 5*(t + 5954)**2*(7*t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058761 tonnes in kilograms?\nAnswer: 5.8761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 6232 and 6235 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9729058 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*w - 106*w + 370412 = 0. Suppose 0 = -29*s + 33*s - w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 105. Calculate the remainder when v is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128662 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*x = -18, -t + x - 21 = -27. Suppose 5*h + h - 18 = 0. Solve 6*f - 2*f - 4*r - 32 = 0, -h*f - r + 4 = t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (2*sqrt(84) - sqrt(84)))*1 + (sqrt(84) - (sqrt(84) - -2*sqrt(84))*5))\/(sqrt(300) + -4*sqrt(300)*2)*-4.\nAnswer: -8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 9) to base 13\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 - 91*i + 526. Let p be w(12). Let n(b) = b**2 - 10*b + 16. Determine n(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -170600*l**4 + 39988 wrt l?\nAnswer: -682400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 828549?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9623 + 10514. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -488\/7*f**2 - 144\/7*f + 324\/7 + 16*f**3 + 28*f**4 = 0. Calculate f.\nAnswer: -9\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -11, -27 in ascending order.\nAnswer: -27, -11, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from nenxnnnnnxnenxeenn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(539)*-2)**2.\nAnswer: 34497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i - 341. Let g be j(-18). Calculate the highest common divisor of g and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21170*f**5 - 685*f**4 - f**3 + f**2 - 91368928*f?\nAnswer: 1270200*f**2 - 16440*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 727167 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 16) to base 7\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 2014412?\nAnswer: 2014405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(4*o - 4*o - 2*o) + 3 + 2*o - 3 - 2 + 2 + 2*o - 14*o + 21*o + 45*o + (-2*o - 2*o + 0*o)*(0 + 2 + 0).\nAnswer: 52*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -10005a55?\nAnswer: -10005a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*x + 790*x = 702 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 7 + -13 + -22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149*t**3 - 61*t**3 - 646*t**2 + 646*t**2 - 111 with respect to t.\nAnswer: -630*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 + -90. Find the third derivative of -c**2 - 3*c**3 + 278*c - 278*c - 7 + c**q wrt c.\nAnswer: 60*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 + 4478*f - 4480 = 0?\nAnswer: -2240, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 250900000 rounded to the nearest one million?\nAnswer: 251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 - 91*x**2 + 159*x wrt x.\nAnswer: -12*x - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5839, 11664, 17489, 23314, 29139, 34964?\nAnswer: 40789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f**3 + 1\/20*f**5 + 0 + f**2 + 0*f + 0*f**4. Let x(k) = -k - 11 + 11. Calculate n(x(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**8\/56 - 5*w**4\/12 + 4*w**2. Find the second derivative of s(r) wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-1*4)\/((1*sqrt(77))\/sqrt(7)) + -1 + -2 + sqrt(208) + (-1*sqrt(468) - sqrt(13)))**2.\nAnswer: 42*sqrt(13) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004778927506 to 7 decimal places.\nAnswer: 0.0004779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/60 and 127\/548630?\nAnswer: 3291780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 515183\/7 + -73329. Let t = h + -268. Do t and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646*k - 683*k - 652*k - 1 + 0 + 1944*k.\nAnswer: -37*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116039 and 27104.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364978.088 rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-517)\/(-528) - 6\/8 and -79\/460.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a factor of 3179111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211044 (base 5) to base 3.\nAnswer: 100122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2\/3 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m + 5. Calculate v(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38393352*b**2 - 5836917*b + 3 wrt b.\nAnswer: 76786704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1785, -2500, -3679, -5322, -7429, -10000?\n\"Answer: -232*y**2 - 19*y - 1534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3535, 3536, 3537?\n\"Answer: f + 3534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17783 and -87.56?\nAnswer: 1557079.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -468278049.5308 + 468011214. Let t = -265483.530189 - u. Let g = t - 1352. Round g to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6)*3 + -5. Let c = v - -18. Let m = 3 + c. What is the remainder when m is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*c + 182*c - 360*c - 508*c**2.\nAnswer: -508*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -122*z + 115. Let p(t) = 489*t - 444. Determine -15*o(b) - 4*p(b).\nAnswer: -126*b + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 850 and 197150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 3*z - 8. Let f be w(-3). What is the lowest common multiple of 16 and ((-4)\/f)\/((-1)\/55)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 3. Let z(q) = 26*q - 92. Let x(i) = 12*w(i) - z(i). Give x(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171518.508 minutes in weeks?\nAnswer: 17.015725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {f: 1, e: 2, o: 1, u: 1, h: 1, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/31)*n*n*n**3)\/((n\/(n*n**(1\/3)))\/(n**21\/n)) assuming n is positive.\nAnswer: n**(2443\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239850000 by -180.\nAnswer: -1332500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 15*g - 1. What is the units digit of a(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/15 - 43396*s\/15 + 235401602\/15.\nAnswer: 2*(s - 10849)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -70720.906495715\nAnswer: 70721.906495715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1581903, 1581896, 1581889?\n\"Answer: -7*x + 1581910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2.2, -163004, -0.1 in ascending order.\nAnswer: -163004, -2.2, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 530 + -339. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f - 8*f - 9*f - 740*f**2 - 27*f**2 to p*f**2 + v*f + r and give p.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 15. Let u(i) = -3*i**2 + 29. Suppose -107*m + 120*m - 65 = 0. Give m*c(t) + 2*u(t).\nAnswer: -t**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 145 = -4*t - 19, -2*t = -2*u - 146. Let s be (-160)\/u - (4 - (-74)\/(-19)). Put -3, -20, s in ascending order.\nAnswer: -20, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 + 11 = 0. Is 315*((-2)\/x - 1\/(-5)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (12\/(-2) + 17). Let l = d + 70. Calculate the highest common factor of 28 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75594?\nAnswer: 2, 3, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 4. Let j = c + 15.9. Is -3 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12755 - 3300. Is i a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - 76. Let z = m + -22. Is 4\/(-10) - (-24)\/z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, v: 1, d: 3, s: 3, j: 1}. Give prob of picking 1 d, 1 v, and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16993 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/93, 17, 3\/5?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 318.3317 grams?\nAnswer: 0.3183317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*s + s. Let p(b) = 5*b**2 - s*b - 5 + 0 - 6*b**2. Let u be p(-8). Solve -4*j - 1 = u*z - 0*z, -4*z + 2*j = -28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141\/220 + -24653\/14740. Which is bigger: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9f (base 16) to base 15.\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 12.\nAnswer: -5, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:39 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + 5. Suppose 8*x - 3*x = t. Solve -3*i - 10 = -x*n, 5 = n - 3*i + i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41.4 + -0.4. Let u = 65.5 - 24.6. Let f = u - z. Put f, -2\/9, -0.5 in ascending order.\nAnswer: -0.5, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2171 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*d + 324, -4*d + 0*t - 630 = -t. Let n be (-1)\/(-4) - d\/8. Let z be ((-24)\/n)\/(2\/(-5)). Solve 5*p + 8 - 2 = -c, 4*c + z*p + 7 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*j - 671 = -2*j, 662 = d + j. 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 685 minutes after 3:29 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 278, 323, 440, 665, 1034?\n\"Answer: 6*j**3 + 3*j + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -228822000 to the nearest one million.\nAnswer: -229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -2*(2 - -1). Suppose 10 = i*w - 2. Let y(v) = 2*v + 13 + 12 + v**3 - 26 + w*v**3. Calculate y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2*c - 91 = 0, -177*c = 4*z - 173*c + 80 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 673362, 1346700, 2020038, 2693376, 3366714, 4040052?\n\"Answer: 673338*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 4*i - 562 + 530, -4*q + 5*i = 61 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 314 - 309. Find the third derivative of 35*c**5 + 202*c**2 - 233*c**2 - 2*c**b wrt c.\nAnswer: 1980*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4381*u - 5106*u + 1907*u + 2872*u - 4900*u.\nAnswer: -9608*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-39)\/(-15)) + (-10738)\/(-5). Suppose 3*q - r = -3*k, -3*q + 3572 = 2*q + k. Suppose 5*a + a = q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from sssnnsrsissnssttit?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100107.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, -4, -5 in decreasing order.\nAnswer: 160, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 19, -3, 74, 0, -137 in increasing order.\nAnswer: -137, -5, -3, -1, 0, 19, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - -40*(-10)\/560*7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1403 - -2376. Is y 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 1648 and 20188.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -3*s**2 + 0*s + 1\/6*s**4 + 0*s**3 + 0. Let j(z) be the third derivative of z**4\/24 + 3*z**2. Calculate j(b(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1615*w + 1637*w + 440 = 0 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 75*a**2 + 20*a**2 + 24*a**2.\nAnswer: 124*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 10*h**2 - 7*h - 6. Determine w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*r + 162, -4*b - 3*r = -289 - 39. Calculate the remainder when 234 is divided by b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/2 + (-3)\/(-6). Let h be (6\/3)\/(p*1). Suppose -5*x + 40 = 15. What is the smallest value in h, x, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5037 - 18964 = 522*h + 25067 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628956 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: Let h(a) = -783*a + 239839. Determine h(306).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 15*p + 16. Let h be g(14). Suppose -h*b + 3*n - 4*n = -26, n = 3*b - 34. Suppose 52*y - b = 49*y. Let k(u) = u - 5. Calculate k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/42 and -25\/740184.\nAnswer: 5181288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 8. Let i = -591 + 581. Let r be i\/4*30\/(-30) + -2. Sort -1\/7, u, r, -0.5 in increasing order.\nAnswer: -0.5, -1\/7, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t = -22*t - 110. Is 13 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28763 is divided by 411.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 + 2*o - 8. Let j be k(2). Let i = 100 - j. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(98) + (-4*sqrt(98))**2 + sqrt(98)).\nAnswer: 70*sqrt(2) + 7840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - t - 3*t + 2*t)*(95*t**2 - 95*t**2 - 125*t**4).\nAnswer: 250*t**5 - 250*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42072523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9) + 2 + (-152)\/114\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 40*b**2 + 7*b - 1. Let c(m) = -121*m**2 - 19*m + 3. What is 3*c(w) + 8*q(w)?\nAnswer: -43*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2*i**2 - 210. Let t(j) = 56*j. What is n(t(c))?\nAnswer: 224*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/760 and 73\/6057656?\nAnswer: 30288280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1481 = -24*o + 3977. Solve 15*g - 194 + o = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3) + -1 + (sqrt(120)\/sqrt(10))**2.\nAnswer: -2*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 - 45 + 6*a**2 + 45.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7358.\nAnswer: 2, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-26))\/(2536\/16484)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18252\/15 + (-12)\/15. Calculate the highest common factor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104 - -113) + (-2 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1008 - 1012. Let i(f) = f + 2. What is i(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4397 (base 10) to base 16.\nAnswer: 112d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 52dea?\nAnswer: -52e01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*t - 3*y + 3, 8 = -4*t - 4*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*y - 2*f + 486, -3*y + 65 - 24 = -2*f + 147 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 10. Let t = -13 + q. Which is smaller: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*l**2 - 6135649*l - 44070915 wrt l.\nAnswer: -104*l - 6135649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (271*n + 1 - 271*n + 2*n**3)*(n + n - 3*n).\nAnswer: -2*n**4 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m + 109*m - 110 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 38*p = -42*p + 6*p - 5, -4*i + 20 = -4*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201010 - 11221120112?\nAnswer: -11222021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 306\/(-291) - (12 + -13). Which is greater: v or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 10467 in increasing order.\nAnswer: -3, -2, 10467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 66. Factor 2\/7*j + 0 + 1\/7*j**b.\nAnswer: j*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**2\/2 + 10*w - 1. What are the prime factors of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (-384)\/16 + 30)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28011, -55981, -83911, -111801, -139651, -167461, -195231?\nAnswer: -222961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350588.\nAnswer: 2, 7, 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j**3 - 73*j**2 + 7*j - 15. Let m be p(-5). Which is the second smallest value? (a) m (b) 228 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13569\/14756 - -548\/119. Let l = f - 56\/93. Find the common denominator of -89\/12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 2:38 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-28)\/248) + -5\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 6*o + 8. Solve 0 = -2*h - o*m + 14, 21 = -h + 3*m + 2*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-14 - (-10)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*k + 17, -4*m - k + 107 = 4*k. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-28))\/(2\/(-7)). Suppose -4*l - 22 = -q*l. Let y = 68 + l. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 + 7 - 18 + 73*l**2 + l + 3 - 83*l**2 in the form q + m*l**2 + j*l + w*l**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 11. Let a be k(14). Let d be (a\/2)\/((-4)\/(-16)). Let x be 4\/d + (-34)\/(-51). Solve -2*w + 4*w = x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6745 and 10792?\nAnswer: 53960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3537615, -1 in decreasing order.\nAnswer: 3537615, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 2*t**2 + 6*t + 12. Is p(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96257 + -42928. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -5911\/2858?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 + 47 + -71?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 11*z**2 + 11*z - 7. Let v be s(-12). Let l = 44 + v. What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*q = 589*q - 1744*q + 447*q + 10010 for q.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22 - 8 - (-1 - -3). Let y be (-9)\/g + 426\/(-8). Let o = -51 - y. Solve -2*x = -o*w + 1, -4*w - 1 = -5*x - 0*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 6\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3747785, 7495591, 11243397?\n\"Answer: 3747806*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47346 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 hth term of -4770532, -4770549, -4770572, -4770601, -4770636?\n\"Answer: -3*h**2 - 8*h - 4770521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 80*w - 320.\nAnswer: -5*(w - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 826797641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (2 + -1)\/1. Suppose -6*u - 22*u - 13*u + 2*u = 0. Put -2, u, g in descending order.\nAnswer: g, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18 - 13) + 11 + (2 - -2). Suppose 0 = -0*p - p + 2. Suppose -2*d + l = -100, p*d = 2*l - 27 + 127. Calculate the greatest common divisor of k and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 20*h**2 - 27*h + 28. Let i be u(14). What is the highest common divisor of i and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 215\/45 + 4\/18. Let d = l - 2. Suppose -6 = -z + d*z. Let k(o) = o + 1. Determine k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05677665 rounded to four decimal places?\nAnswer: 0.0568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38315 and 845987537?\nAnswer: 7663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1793 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 2213, 4926, 8715, 13580, 19521?\nAnswer: 26538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 8:27 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + 11695?\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 773*z + 5411. Let n be a(-7). Let d(v) = -v**2 + v. Let p(t) = 6*t**2 - 6*t - 8. Let f(j) = -5*d(j) - p(j). What is f(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.501*-4.13.\nAnswer: 150.74913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-11 - -7)*1*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 41*q**3 + q**2 - 1. Let b be d(-1). Let m = 37 + b. Let h(x) = -18*x - 4. List the prime factors of h(m).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-18)*955 + (-12)\/54. Suppose 20 = -5*d, 314 = 5*j + d - o. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 574314596467 and 0.1888.\nAnswer: 574314596467.1888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(7\/4)*z**(3\/5))**(-33) assuming z is positive.\nAnswer: z**(-2211\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1538 - 1458. What is the highest common divisor of h and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 94863, 188382, 281935, 375540, 469215, 562978?\n\"Answer: 3*i**3 - i**2 + 93501*i + 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51240 is divided by 816.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*9\/(-24)*-8. Suppose s = -n + 3*n, -3*n = -2*z - 21. Let t be (32\/z)\/((-2)\/(-15)). Round t to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 9, -7 in ascending order.\nAnswer: -7, -4, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11442021000 (base 5) in base 2?\nAnswer: -110011111110110000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -5*o. Suppose 4*g = 20, o*t + 37 = 6*g - g. Sort t, 5, 3 in decreasing order.\nAnswer: 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/(-10))\/(38\/(-1045)). What is the greatest common divisor of v and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 33*o - 261. Let t be m(-13). Are t and 9151 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408 and 8432?\nAnswer: 25296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/153)\/(((-2)\/(-9))\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 872 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 5*i - 2*i**2 + (4*i**2 - 3*i**2 - 3*i**2)*(-1 - 2 + 5) - 3*i**2 + i**2 + i**2 + 2 - i**2 - 2)*(i**3 + 0 + 0).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 864218971 and -0.5.\nAnswer: -432109485.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 3, -122?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7543, 60719, 205045, 486097, 949451, 1640683, 2605369, 3889085?\nAnswer: 5537407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 165 + 787 - 252 - 3*f**2 - 2*f**2 + 0*f**2 in the form q*f**2 + p*f + r and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -17. Suppose -4*t - m = -2*z - 138, 4 = -z. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1287 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, y: 6}. What is prob of picking 1 d and 1 y?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -26*c**2 + 349*c + 80. Determine x(14).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 31. Suppose -f = 3*o + 14. Let r be 1\/4 + (-86)\/o. Calculate the highest common divisor of r and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54.32147l?\nAnswer: 54321.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 10009395.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133790698 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -19.2 (b) 3 (c) 20 (d) 4 (e) 0.1 (f) -2 (g) -2\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddn when three letters picked without replacement from {n: 1, d: 7, a: 5}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*m + 313*m + 182*m = 3069 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/9416 and -97\/3424?\nAnswer: 37664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 9*v**5 + v**5 + (-7*v**3 + 4*v**3 + 2*v**3)*(v**2 + 0*v**2 + v**2) - v**2 + 484*v**5 - 1490*v**5 - 7*v**2 + 8*v**2.\nAnswer: -1014*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -1\/11, -0.2, -305, 1.2, -88?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + sqrt(343) - (-3 + sqrt(448) + 1 + sqrt(448) - sqrt(448)).\nAnswer: -sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35638232 by 889.\nAnswer: 40088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26454529 + 26454528.71299926. Let s = -0.287 - z. What is s rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 - 477 + 59)*(4*a**2 - 3*a**2 + a**2).\nAnswer: -1008*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*n = 0, -f - 3*f + 8 = -2*n. Suppose 37 + f = z. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7628101 is divided by 108.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7208000 to the nearest one hundred thousand.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 67\/3*i**3 + 181*i + 0*i**2 - 247. What is the derivative of u(r) wrt r?\nAnswer: 134*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559.2022 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syysyssyysss. Give prob of picking 2 y.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(768\/324)\/(-16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 2*k**2 - 3*k**2 + 4 - 4 + 2*k**2 + 0*k - k**2 + 0*k + (-2*k**2 + 2*k - 2*k)*(5 - 4 + 1) + k**2 - 4*k + 4*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-5 - 27\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 338\/(-260) + (0 - -1). Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/9153 and -55\/6251?\nAnswer: 57215403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 600*q**2 - 3420*q.\nAnswer: -5*q*(q - 114)*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4 + 2\/5*a**5 - 2*a**2 + 0*a**3 - 14 - 2*a. Factor k(s).\nAnswer: 2*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/150 - i**4\/15 - 4*i**3\/15 - 2*i**2 - 2*i. Let z(v) be the first derivative of b(v). Factor z(c).\nAnswer: -2*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -941 - -945. Solve 0 = -s*j + 5*z - 15, -6 = -2*j + j - 2*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3110*v**2 - 4989*v + 3. Let r(j) = -28002*j**2 - 44902*j + 26. Let z(m) = -52*l(m) + 6*r(m). Find the second derivative of z(b) wrt b.\nAnswer: -12584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70*o**2 - o - 487?\nAnswer: 140*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*q + 3532 = 1522 + 8460 + 9579 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/(3\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39.4512 and 1709.\nAnswer: 1669.5488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**3 - 2*i**2 + 80*i - 14. Calculate o(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2194327 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/47432 and 149\/8712.\nAnswer: 426888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 14*p + 2. Let o be b(14). Suppose -o*a - 1 = -11. Suppose 2*c - 49 = -3*c + 4*m, 46 = a*c - m. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361 + 2291 = 884*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 + y**2 - 25*y - 25 = 0. What is y?\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*w + (w + 5*w - 4*w)*(-5 + 11 + 1) + 1 - 2*w - 1 + 1 + w - 1 + (-3 - 2 + 6)*(4*w - w - 2*w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -29\/3, -3, -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z - z + 101 = 2284. Sort z, 2, 9 in ascending order.\nAnswer: 2, 9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(1104\/391)*(1*-6)\/(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*v + 13, 0 = -2265*v + 2269*v - 16*s + 128 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-18) + (-111)\/90\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/13 + 93494*q**3\/13 - 1092687750*q**2\/13 + 1092594258*q\/13.\nAnswer: -2*q*(q - 23373)**2*(q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:35 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and -1077.\nAnswer: 2907.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3150 and 1638.\nAnswer: 40950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2332*m**3*r**2 + m**3*r - 3786*m**3 + 2*m**2*r**2 - 193*m**2 + m*r**2 + 33*m*r + 736 wrt m.\nAnswer: 13992*r**2 + 6*r - 22716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*k + 0 + (k + 3*k - 5*k)*(-1 + 0 + 2))*(1 + 4 - 3)*(1786 - 5285 - 4605 + 735).\nAnswer: -14738*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x + 84 = -42*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*d*i*j**3 - 4*a*d*i + a*d*j**2 + 54*a*i**2 + d*i**2*j**3 - d*i**2*j - 8*d*i*j**3 wrt i.\nAnswer: 108*a + 2*d*j**3 - 2*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13*z**(-5)*z)\/(z**(-6)\/(z\/(z*z*z**(4\/9)*z))) assuming z is positive.\nAnswer: z**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 519.791 hours in seconds?\nAnswer: 1871247.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-1095) - (-8)\/((-19272)\/(-93885))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/20*4)\/((-1)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 - 3 = 0. Let i = 6 - u. Suppose i = -0*w + 3*w. Solve w = -n - 0*n + 2*g - 9, -5*n - 13 = -2*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010*t**2 + 1918*t**2 - 361*t**2.\nAnswer: 547*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 9401 - 4702 = 5*a + 4703, 4*a = -3*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, 3\/7, 0.5, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in 17, 4\/7, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -115? (a) -4 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o - 22. Let i be v(19). Let r = -383 + i. What is the smallest value in 0.8, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.287 and -7.\nAnswer: -22.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 2*u - 2. Let k be u\/(-5) - (-11)\/5. Suppose -k*x + l = -76, 3*l = 7 - 1. Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let z = 7 - s. Suppose -5*r - 19 = n, -2 + 1 = 4*n + z*r. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2115)\/(-2)*172\/430. Suppose -114 = t + 99. Let g = s + t. List the prime factors of g.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 + 3. Let c(j) = 10*j**2 - 5. Calculate 3*c(a) + 5*w(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 5:10 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + g - 1. Let p(i) = 6*i**3 + 5*i**2 + 4*i - 4. Let s(h) = -78*h + 1951. Let d be s(25). Calculate d*p(n) - 4*r(n).\nAnswer: 2*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 6347b?\nAnswer: 63476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 61. Let z = k - 41. Suppose -z*r - 24 = -11*r. Solve -r = 2*h - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/642 and -107\/220?\nAnswer: 70620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -4, -5, -4, -1, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70101.\nAnswer: 3, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(8\/(-72)). Let d be o\/(-15) + 24\/5. Suppose 4*l - d = 3. Solve -l = -3*w + w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 3. Let w be 8\/(-20) + (-6)\/10. Let a(d) = -d. Let c(h) = w*o(h) + 3*a(h). Determine c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -294*c**2 - 137*c.\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:17 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862.2777 micrograms to tonnes.\nAnswer: 0.0000000008622777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6949\/19 or -367?\nAnswer: -6949\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 + 0 = 0. Solve -z*w = -w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 11*j + 18. Determine z(-15).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 433755963 and 1.\nAnswer: 433755964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-3 - -2) + 3 + 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-91) + 279\/39. Suppose -l*n + 10 = -2*n. Suppose n*w = k - 2*w - 10, -3*k + 20 = -2*w. Solve -d + r = 3*r - k, 5*d - 16 = -3*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 16*b + 22. Let g be p(-16). Let o(v) = g*v**2 - 32*v**2 + 10 + 13*v**2. Let z(y) = 3*y. Give z(o(n)).\nAnswer: 9*n**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 - 53. Let g be 27*(m\/(-6) - (-4)\/(-12)). Suppose 0 = -3*w - 5*b + 892, -3*w + 0*b + 3*b + g = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*v + 205502 - 479334 = 981994. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1198)\/(-4))\/((-33)\/24). Let m = 218 + q. Sort -3\/2, 1, m in increasing order.\nAnswer: -3\/2, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/7*b**2 - 345\/7*b + 78\/7.\nAnswer: -3*(b + 13)*(9*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1179447 divided by 27429\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2893500 and -77\/11895500?\nAnswer: 107059500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 43. Which is the nearest to -0.1? (a) l (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2325.67, -10\/9 in decreasing order.\nAnswer: 0.1, -10\/9, -2325.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4704 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 21, 0.4, -3.67512 in descending order.\nAnswer: 21, 0.4, 0, -3.67512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 4, 30, -3 in decreasing order.\nAnswer: 69, 30, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 15*v**5 + 55*v**4 - 80*v**3 - 220*v**2 + 80*v = 0?\nAnswer: -4, -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 14*b - 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, r: 6}. Give prob of sequence rl.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 342*y**4 - 4*y**2 - 2*y + 588?\nAnswer: 1368*y**3 - 8*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*u + 6*u - 40, 0 = -5*u + 4*m + 76. Let f = u - 13. Let c = f - -15. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -90e94?\nAnswer: 90e94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 381441 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97289, -194577, -291835, -389063, -486261?\nAnswer: -583429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) + 1*sqrt(121))*-1)\/(-2*sqrt(1584) + sqrt(1584) - sqrt(1584)).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 22, 30, 38, 46?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/1 - (-5)\/5. Let s(y) = y**3 + 12*y**2 + y + 14. Let o be s(a). Factor -4*l**o - 6*l + l + 14 - 6 + l.\nAnswer: -4*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1439 < 9360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:54 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -29. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48874 + -25266. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1005 - 1001. Suppose 4*g - 4*h - 16 = -0*g, -5*g + 3*h + 18 = 0. Let a = 389 + -388. Solve -s*t + a = -g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a1 - -5?\nAnswer: 4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*s + 158*s - 393*s - 455*s + 144*s in the form y*s + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*x + 388*x - 202*x + 1.\nAnswer: -28*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1763 >= -1763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4*r + 2*k**4 - 25255163*k**3 + k**2*r + 2208*k**2 - 2*k*r + 9*k + 2 wrt k.\nAnswer: -24*k*r + 48*k - 151530978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 802 = i, -3*i = -w - 0*w - 2385. Suppose 3*x - d + 796 = 5*x, 2*x - i = d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -12, 2\/11, -0.064, 1\/9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, -0.1, 49061 in decreasing order.\nAnswer: 49061, -0.1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5\/q*q*q**(-13))**28\/(q**(-2)*q*q*q**(1\/4)*q*q*(q*q*q\/(q*q**(2\/9)))**(1\/61)) assuming q is positive.\nAnswer: q**(-496909\/2196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**2 + 1\/60*z**5 + 0*z**3 + 0*z + 2\/105*z**7 + 0*z**6 + 0*z**4 + 0. What is the third derivative of c(o) wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q + 1. Let n(c) = -4 + 5*c - 4*c**3 + 0*c + 4*c - 16*c. What is 4*n(v) + 14*o(v)?\nAnswer: -2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -930, -3403, -7524, -13293, -20710, -29775?\nAnswer: -40488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (208\/(-696))\/(-13)*-3. Let y = -24 + 17. Let t = 2 + y. Sort g, 4, t in descending order.\nAnswer: 4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -805.\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 331121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 517806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 57*x - 45. Calculate d(-23).\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/5 - 98*h\/5 - 93 = 0.\nAnswer: -93, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2177375*u**2. Let y(o) = -35*o. Give y(z(x)).\nAnswer: -76208125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2\/7*g**2 - 2\/7 - 4\/7*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 308*q**4 + 228*q wrt q?\nAnswer: 3696*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -1005362*v**4 - 462268*v**3 + 16656574*v**2 + 3841584*v - 69431328 = 0.\nAnswer: -3, 1964\/709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133 and 2.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -899 and -0.06.\nAnswer: -899.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -614 + 602. Let a(t) = -1 + 0*t - 14 - t. Let b be a(i). Let v(f) = -f - 1. What is v(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.831 + -0.982. Let z = c + -0.049. Is 3 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7) - sqrt(7)) + 4 + sqrt(7)*1 + 0 - (sqrt(343) + -6*(sqrt(343) + -1)))**2.\nAnswer: -72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -262 + 226 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21707, -42806, -63917, -85040?\nAnswer: -106175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -216 (b) -138 (c) -5 (d) -25 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 5117?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23969 + -20146. Is 3823 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*k + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17362307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*j - 4, 3*a + 4*j - 31 = -3. Let -6*o**4 + 58*o**2 + 6*o**3 - 4*o - 56*o**2 - 2*o**5 + 4*o**a = 0. Calculate o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 33*s + 90 = 0. Are -0.02 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*646.4.\nAnswer: -36198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/68 and -47\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 2 = -7*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474479190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-405)\/(-36))\/((-2844)\/1264).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1110 - 1512.853.\nAnswer: -402.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8781 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*13367\/16 - -4. Let q = -1664 + o. Find the common denominator of q and -41\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*(k\/((k*k**(-4)*k)\/k))\/k*k)\/k)**(11\/5))**(4\/25) assuming k is positive.\nAnswer: k**(44\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(18\/135). Suppose -5*l + 20 = 4*s - 0*l, 5*l - 20 = 0. Factor 1\/2*r**4 + 1\/4*r**g - 1\/4*r + 0*r**3 + s - 1\/2*r**2.\nAnswer: r*(r - 1)*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = -0. Suppose 2*p + 13 = 35. Calculate the remainder when p is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z - 13. Let o(x) = 3*x + 11. Let d(a) = 3*a + 14. Let r(m) = -5*d(m) + 6*o(m). Calculate 2*l(n) - 7*r(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 256*d - 28144. Determine p(131).\nAnswer: 5392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 470999589*h + 447228444 wrt h?\nAnswer: 470999589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8808 is divided by 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - 5 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.975732806 to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, w: 3, c: 2, j: 8, h: 1, g: 1}. Give prob of picking 1 h, 1 j, and 2 c.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-51)\/15 - 2\/(-5). Let r(w) = -2*w + 9. Let q(z) = z**3 + z**2 - 2*z - 1. Let o be q(2). Let y be r(o). Put 2, b, y in descending order.\nAnswer: 2, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 minus 2.816223?\nAnswer: -2.656223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1920 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -75, -107, -137, -165, -191?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2. Let s(a) = -7*a**2. What is v(s(b))?\nAnswer: -245*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 8*n - 11*n + x, 0 = 4*x + 12. Suppose 0 = n*o - 13*o + 2. Solve o = 5*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11134000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 2, m: 4}. What is prob of picking 2 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 43*-352.8\nAnswer: -15170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/22 - (1 - 2). Let d = l + 17\/22. What is the second smallest value in 2\/7, 0.1, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29787.96 rounded to the nearest one hundred?\nAnswer: -29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -638\/7 - -11435\/126. Let q = -34 + 70. What is the common denominator of i and 7\/q*(-44 - 13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**6\/25 + 33*o**5\/100 - 3*o**4\/20 - 11*o**3\/10 + 3*o**2\/2 - 2*o + 21. Find p such that g(p) = 0.\nAnswer: -1, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c + c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/5)\/(9\/30). Let a be (-3)\/q - (-2)\/8. Let d be 8\/(-6)*(-10)\/(140\/(-21)). Sort -4, d, a, -3 in ascending order.\nAnswer: -4, -3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let r(z) be the third derivative of z**5\/60 + 24*z**2. Calculate r(i(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -8 (c) 21 (d) -326 (e) -3\/2 (f) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 503949*c*u**2 - 1232059*c*u - 3*u**2 + 11 wrt u.\nAnswer: 1007898*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 415860 and 2629?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3252, 3250, 3248, 3246, 3244?\n\"Answer: -2*i + 3254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*n**2 - 332*n + 332*n)*(-1 + n**2 + 1) + 249*n - 249*n - 13*n**4.\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/125?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 2. Let i(p) = -9*p - 15. Let x be (-4)\/10 + 0 - (-3234)\/210. Let l(d) = x*s(d) + 2*i(d). Let o(u) = -21*u. What is o(l(b))?\nAnswer: 63*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5 - 139490*k**4 - 3242817018*k**3 - 25126426822486*k**2 + 50265826028996*k.\nAnswer: -2*k*(k - 2)*(k + 23249)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 20. Let z = w + -7. Suppose 2 = 5*v - z. Is v equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1786 and 302776115.\nAnswer: 605552230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6537*n**3 - 40*n**2 - n + 2. Is 6 a factor of k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + a**2 - 2*a**4 - 2*a**2 + 2*a**2 + 3*a**4 to d + m*a**4 + k*a**2 + g*a**3 + h*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:18 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/540 + y**5\/180 + y**3\/3 - 2*y**2. Let o(g) be the first derivative of s(g). Factor o(q).\nAnswer: -2*q*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 363 = -p, -989 = -0*p - 3*p - 5*w. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 41. Let y = -31967 - -31942. Determine l(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9010485 and 743380.\nAnswer: 5995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62892 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.3, -8.73, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 23*x + 12*x. Suppose -5*d = 4*w - 37, 4*w - 6*d = -x*d + 27. Solve -w*v + 3\/5*v**2 + 18\/5 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 90182200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33878731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43.644 and -4.\nAnswer: 174.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -240*w**4 - 7*w**3 - 7*w**2 + 7*w - 40. Let k(j) = -j**4 - j**3 - j**2 + j. Let q(f) = 7*k(f) - m(f). Differentiate q(x) wrt x.\nAnswer: 932*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 352*u = 348*u + 14, 5*u = -4*b + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {z: 1, m: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10114, -20207, -30294, -40375, -50450, -60519?\n\"Answer: 3*g**2 - 10102*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s - 7 = -31*s. What is the units digit of s*6*9\/(-12)*14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*(84\/(-7))\/(-108)*-3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c*c**(-2\/3)))))\/c)**(-1)*(((c\/c**(-7))\/c*c)\/c)\/(c*c**(3\/5)) assuming c is positive.\nAnswer: c**(86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - -5 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2)*2*-1.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 233, 275, 319, 365?\n\"Answer: n**2 + 39*n + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7786 - 4991. Let x = b + -8169. Let s = x + 107429\/20. Calculate the common denominator of s and 71\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 14*x - 40. Let n be k(-4). Solve 8*o - 17*o - 9 = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13771*b**3 - 6472*b.\nAnswer: 82626*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 1270, 2310, 3608, 5152, 6930, 8930?\nAnswer: 11140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2433409398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-3))\/((-21)\/70*-5). Let q(t) = -22*t + 13. Let f(p) = 7*p - 4. Determine k*q(o) - 7*f(o).\nAnswer: -5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*k + 132, -5*l + 0*k + 142 = 2*k. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38948078 and 3058?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38121 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1540, 3072, 4604, 6136, 7668?\n\"Answer: 1532*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 18*o**3 + 2*o**3 + 1.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/((-417690)\/51)*20.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 1 - (12 + (4 - 31) + 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 980809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1661, 19, -5, 1\/10 in descending order.\nAnswer: 1661, 19, 1\/10, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 = 4. Let y(x) = -4*x**2 - 13*x**q + 1 + 5*x**2. Give y(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 3101230986549?\nAnswer: 3101230986549.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*((b*b\/b**(2\/7))\/b*b*b)\/b)\/b))\/(b\/(b**15*b)*b))**40)**(3\/17) assuming b is positive.\nAnswer: b**(11160\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8)*-2)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/210 and -44\/26439.\nAnswer: 264390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - z - 32 + 53, 2*i + 48 = 5*z. Put -3, 13, i, -4 in descending order.\nAnswer: 13, -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/10592449 and -3\/5.\nAnswer: 52962245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -269*o**5\/60 - 191*o**3 - 179*o**2 + o. Differentiate i(f) with respect to f.\nAnswer: -538*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202.5 + 202. Let x = -44922\/35 + 6736\/5. Let g = 64 - x. Which is the nearest to g? (a) -5 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.097411701388 minus -24?\nAnswer: 24.097411701388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, -2.633, -71, 4, 5?\nAnswer: -2.633","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -1 - 20. What are the prime factors of ((-54)\/21)\/((-1)\/a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 11:13 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/60 - w**4\/4 - 2*w**3\/3 - 3*w**2. Suppose 5*j = -2*q - 25, 33*j + 5*q = 37*j + 20. Calculate h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 1208*f**3 - 473*f**3 - 1822*f**3 to l + v*f**2 + p*f**3 + b*f and give p.\nAnswer: -3503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 - 0.4. What is g rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.95*33839.\nAnswer: -99825.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 71*((-5)\/6 + (-178)\/1068). Sort r, -1, -2.\nAnswer: r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1\/4, 41\/7, -1\/3, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 + 253 = 4*r. What is the highest common divisor of 32 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/10 + k**4\/6 - k**3\/6 + k**2\/2 - 3*k. Let y be t(-2). Let o = -83 + 79. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 3:27 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 18 = 42*a. Let o(q) = -q**3 - 6*q**2 - q - 3. Determine o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/1)\/(-25)*(-30)\/18*45\/(-12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66\/2633855 or 1?\nAnswer: 66\/2633855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-120 + 0)*(-8)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 3696928*x\/5.\nAnswer: 2*x*(x - 1848464)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (0 - 0) - ((-56 - -55) + 47 + -108).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -51?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-10)*5\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 15 = -2*y. Suppose -4 = -y*f + 2. Suppose -f*w = 4 - 24. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(1\/13)\/((x*(x**(1\/3)*x)\/x)\/(x\/x**(-3))) assuming x is positive.\nAnswer: x**(526\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -20\/77, 1\/1015, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*g - 9*g + 1571*g**2 + 17*g)*(34 + 11*g - 34) to f*g**3 + x*g**2 + q*g + a and give f.\nAnswer: 17281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q - 3. Let c be r(5). Let b = 57 - 55. Suppose 4*n = 16, -5*s + s + c = -b*n. Calculate the smallest common multiple of 12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 411*m - 408*m = -4, z - 2*m = 11. Calculate the greatest common divisor of z and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/6)\/((99\/(-132))\/((-18)\/16))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -70, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p + 7*p + 9*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1417, 1419, 1421, 1423, 1425?\n\"Answer: 2*l + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -22 (b) 0.4 (c) -2\/5 (d) -2 (e) -4 (f) 212\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5618252 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 c, and 1 g when four letters picked without replacement from {x: 1, g: 1, e: 4, c: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232 + -2?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 267 = 1389. What is the greatest common factor of j and 15?\nAnswer: 3","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: 14\/49 + (-24)\/133\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1467, -1967, -3311, -5919, -10211, -16607?\n\"Answer: -70*l**3 - 2*l**2 - 4*l - 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 1:22 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 622 + -621.999249. What is a rounded to five dps?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29*(10\/(-20) - (78\/12 - 6))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 121 - 56 - (-39 + -1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -541 in 2\/9, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -934 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36.7911 - -36.77. Let u = -0.6 - -0.603. Let k = u - f. Round k to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/14454896 and 79\/626528.\nAnswer: 202368544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*y - 68155, -3452*y + 3457*y = 5*s + 113600. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 + 16)*3\/2. Suppose 2*i = y*i - 2. Solve 0 = -d - n, i*d + 11 + 1 = 4*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76299.468 hours in weeks?\nAnswer: 454.1635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y + 21*y + 31*y to the form b + g*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (260\/180 + 8\/(-18))*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 1 + 2)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - r + 0*r = -22, 4*b - 56 = -5*r. Let h = 790 + -787. Solve -n - 3*n + b = t, 6 = h*n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**6\/8 - 61*k**5\/3 + 275*k**4\/8 + 205*k**3\/3 - k**2 + 10*k. Factor y(j).\nAnswer: -5*(j - 1)*(j + 82)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Suppose t*i = 2*c + 8, -4*c + c - i = 34. Is 12 a factor of 488\/20 + 4\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282 + -731. Let k = z - -449.3. Which is greater: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6783)\/(-686) + -10 - 7\/(-98).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:16 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89213934197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 6 = -22. Suppose -k = -4*o - 8, 5*k + 4*o + 2 = 3*o. Solve p*f + 15 + 1 = k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10707 and 3415791?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 + (-29)\/((-5220)\/112)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:58 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = 10. Let t be 90\/24*(-2 - 50\/(-15)). Calculate the greatest common factor of f and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 + -243. What is the units digit of (-4 - 29)\/(7\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + f**2 - 585*f**3 - 570*f**3.\nAnswer: -1155*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 3*k**2 + 6*k - 4. Let x(b) = 6 + 2*b**3 - 11*b + 72*b**2 + 1 - 77*b**2. Let p = -4 - -10. Let w(a) = p*x(a) + 11*j(a). Calculate w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + (5 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -142\/9 smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 5*h**2 - 3*h + 5. Let w be ((-6)\/2)\/(1 - (-4)\/8). Let v be 4\/(-4)*(-2 + w). Suppose -v*f + f = -6, 0 = -2*a + 2*f + 6. Give m(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 29976920 = -0*z. Suppose 0*k + z = 2*k. Suppose -h = -k + 2388460. What is h rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + b?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -56140.03 to the nearest 100.\nAnswer: -56100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 460*w**3 - w**2 + 740*w.\nAnswer: 2760*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 4)*(-85*x - 484 + 484).\nAnswer: 425*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/11 - 3741*u\/11 - 308200.\nAnswer: -(u + 1541)*(u + 2200)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -17*i**2 - 2*i - 2. Let y(n) = 11*n**2 + 10*n + 24. Let j(o) = -3*o**2 - 3*o - 7. Let d(w) = -7*j(w) - 2*y(w). What is -a(m) - 2*d(m)?\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 54. Suppose 2*o + 4 + j = -t, -3*o - 2*t - 16 = 0. Is -2 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from gggggqgggggggqgggq?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/((3\/(-26))\/(-68*19\/(-2584))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (6 - -1 - (-51 + 46)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/4 and 56\/129467.\nAnswer: 517868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 19\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*j - 15*j + 38*j - 25*j + 81 with respect to j.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95565106499 + 11.9.\nAnswer: 95565106510.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54931 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -273 (base 12) to base 7\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.682 - 15.682. Is 3\/2 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 3:08 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -686 * -1.101.\nAnswer: 755.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.5951 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p**2 + 103*p - 104. Let i be c(1). What is the highest common factor of 17820 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2689593 divided by 1\nAnswer: -2689593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 892753.5ug?\nAnswer: 0.0008927535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273 - 276)*((-10)\/(-25) - (-620)\/(-50)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6113 + 5.2327. Round t to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -871 - -3223. What is the greatest common divisor of q and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 460 = 4*a - 760, 0 = 4*t - 4*a - 4760. Solve 0 = 5*o + t - 1161 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*q**2 + 0*q + 2*q + 109*q**2 - 315*q**2 + 87*q**2.\nAnswer: -20*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5310 divided by 5310.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 412 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5 - 2. Let f(w) = 178*w**3 - 2*w**2 - w - 1. Let k be f(p). Let s = -43 - k. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/25 - (1 + -6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. What is the second derivative of 2*u**3 - 3*u**z - 2*u + 0*u wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1392*a + 1. Let f be i(3). Suppose 12821 - f = 4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.071 + 77.929. Let n = 73 - l. Let z = -0.1 + 0.1. What is the closest to z in -1, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 13*j**2 - 4*j + 16. Let d be f(13). Let k = 50 + d. Suppose 0 = 4*v - 2 - k. Solve -2*g = 4 + v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*f + 12 = -0*l, -3*f - 6 = -l. Let c(z) = -2*z**2 + 13*z - 2. Let s be c(l). Solve -d + 4*t = -4 + 16, s*d - 2*t = -20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*l**5*p + 29*l**5 - 1169*l*p - 192*p wrt l.\nAnswer: 600*l**3*p + 580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7*z = -12*z + 25, -43 = -5*u + 4*z. Let k(y) be the second derivative of -y**3\/6 + 9*y**2\/2 - y. Let s be k(u). Solve -s = -o + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 67 - 76 + 12412*w.\nAnswer: 12412*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5 = -3*u, u + 1 = -0*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -20439.1, -0.2, 0 in decreasing order.\nAnswer: 0, -0.2, -20439.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -1)\/((-3)\/(0 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 - 180 - (4 + (-15 - (0 + -1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (161*s - 221*s + 112*s)*(-15*s**2 + 103 - 103) to the form x + n*s**3 + f*s**2 + i*s and give n.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 3:12 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:40 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/14 + 12\/28 + 1. Suppose -g - 2*g + 75 = -4*n, d*g + 4*n = 51. Let s be 12 + (-2 + 4 - 0). Calculate the greatest common factor of g and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 747 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 1. Let n be (1 - 3\/3)*1. Suppose n = 3*x - 14 + 5. Let i(l) = -l. Calculate x*i(b) - s(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17529, 17515, 17485, 17433, 17353, 17239?\n\"Answer: -d**3 - 2*d**2 - d + 17533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 2)*(-130*a + 208393 - 208393)*(-8 - a + 0 - a) as x*a**2 + o + y*a and give x.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 16. Suppose f - s + 1 = 2*u, 0 = 4*f + 4*u + 52. Let t be -5 + 0 + 11 + f. Is t at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 6629\/189 - (-578)\/(-7803)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735750503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f + 0*f)*(2*f + f - 4*f)*(8*f + 4*f - 7*f)*(-3*f + 3*f + f).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 6*o**2 - 5*o. Let b be (-1)\/(((-6)\/(-8))\/(-3)). Let w be c(b). What is the greatest common divisor of 108 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f + 6. Let n be j(11). Suppose -4*k + n = -3*v + k, 38 = -v + 5*k. Let a = v + 51. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 173*o - 6 - 387*o - 472*o - 11*o + (4*o + 4*o + 4*o)*(3 - 2 + 0).\nAnswer: -685*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112322 is divided by 497.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**3 + 2*i**2 - 2*i. What is m(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 19*w**2 + 13*w + 1. What is c(-19)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 2) + -71 + 89 - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/8)\/((-729)\/108)*88?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18049\/3 - -5949. Let t = o - -68. Factor -2\/9*v**2 + 0*v - 2\/9*v**5 - t*v**3 + 0 - 2\/3*v**4.\nAnswer: -2*v**2*(v + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + -1010?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 468 - 464. Solve f = -2, -3*y - 2*f + b*f = -19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2191590115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.371376l?\nAnswer: 2371.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8427228613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 325585500 rounded to the nearest one million?\nAnswer: 326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let y(d) be the first derivative of 7\/60*d**5 - 5*d**3 + 0*d**4 + 0*d**2 - 6 + 0*d. Let p(z) be the third derivative of y(z). What is h(p(t))?\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*a**4*w + 2*a*w + 37*w - 3 wrt a?\nAnswer: -328*a**3*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 88*p + 212. Give v(32).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/99 and -1\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 752 - 689. Let s = 286 - r. Let m = s + -107. What is the greatest common divisor of m and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 5*o**3 + 3*o**2 + 4*o**3 + 5*o + 2*o**2 - 2. Let t be a(4). Suppose v - 46 = -t*b, v = -3 + 5. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, 76 in decreasing order.\nAnswer: 76, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:15 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 + 13*u**3 + 2 - 16*u**2 + 3*u + 15*u**2 in the form i*u + c*u**3 + r + q*u**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**4\/12 - 5*j**3\/6 - 5*j**2\/2 + 9*j. Let r be y(6). Solve i = r - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/(6\/72*-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/5 - (-6740)\/100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572410584?\nAnswer: 2, 3, 29, 91381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 23 - 205 = 0. Suppose 18*s - 1245 = m*s. List the prime factors of s.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 251, -1.7?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 6*h**2 + 5*h. Let b be k(4). Let q = -21 - b. Is (-6)\/(-27) - 34\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -323 + 7413. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*n + 344850 = -16*n. List the prime factors of n.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(0*h**4 + 0*h**4 + 3*h**4 - 15*h**3 + 15*h**3 - 7*h**4 + (-h**3 + h**2 - h**2)*(-h - 3*h + 3*h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 108, 353, 810, 1545?\n\"Answer: 11*d**3 + 7*d**2 + d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -375561, -5 in decreasing order.\nAnswer: 9, -5, -375561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 4, f: 3, k: 2}. What is prob of picking 2 q and 1 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82 or -83?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - (sqrt(240) + -4*(-1*sqrt(240) - sqrt(240) - sqrt(240))) - sqrt(240))\/(sqrt(64)\/(-1*sqrt(8))))\/((sqrt(1440) + sqrt(1440)*2*-6)*-2).\nAnswer: 13*sqrt(3)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.0499327 - 2.05. Round j to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953870 to the power of 1\/2, to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43717.59 nanograms in grams?\nAnswer: 0.00004371759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37925947049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkk when three letters picked without replacement from xkpxkxpepp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2541 times 115?\nAnswer: 29.2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let v(f) = 7*f**2 - f - 1. Let c be v(t). Calculate the greatest common factor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 13 = 3*f, -4*f + 6 = u + 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -107, -182, -307, -482?\n\"Answer: -25*z**2 - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11777.1 + -1.2448.\nAnswer: -11778.3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, -1 in descending order.\nAnswer: 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 6:38 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.523, 0.3, 1.6, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 43538, -7 in ascending order.\nAnswer: -7, -0.1, 43538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1106 and 2498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000462028 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*3*256\/(-6240).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - -44)*58\/2*(0 - 1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**4\/24 - g**3\/6 - g**2. Let q = -7 + 13. Let m be z(q). Solve -4*u = -m*i - 45, -4*u = 2*i + 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/54 - w**2\/9 + 2*w - 3. Let r(y) be the first derivative of p(y). Factor r(x).\nAnswer: 2*(x - 1)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.1, 1\/5, -2.75, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -0.3, 7, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*n + 34, 4*g + 2 - 24 = 2*n. Let f be -4 + (g - 1) - -9. Calculate the greatest common factor of f and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600723 divided by 6.\nAnswer: 200241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30440.301 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/2 - 592377*v**2\/2 - 154322220*v - 20075070600.\nAnswer: 3*(v - 197979)*(v + 260)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -134*q - 150. Let v(l) = -2*l**2. What is v(k(u))?\nAnswer: -35912*u**2 - 80400*u - 45000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 252 - 15. Suppose 145*t - q = 142*t. Suppose 4*l + t = 255. What is the remainder when l is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(0 + 2) + 0. Let c = -66 + 68. Is c greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -15.146. Let j = u - -8.954. Let l = j - 9. Sort -0.4, l, 0.6 in decreasing order.\nAnswer: 0.6, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488\/(-244)*328\/160*5*-2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 54*f**3 + f**2 - 3*f - 4. Let z be w(-1). Let g = 71 + z. Calculate the greatest common factor of 153 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 29*a - 383. Calculate j(15).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*a - 5*z + 5 = 785*a, -39*a - 18 - 224 + 13 = -z for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/3 - 13*i**2 + 1160*i. What is u(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8528 = -5*c + 4*v, -c - 4*v + 277 = -1443. Is c a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(180) + 0)*3 + -3)**2.\nAnswer: -216*sqrt(5) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (157\/(-5))\/((-14)\/70)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 334 * 178527\nAnswer: 59628018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 + 1)\/((17259\/(-66))\/(-523))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/5 + 49*a**4\/5 + 621*a**3\/5 - 577*a**2\/5 - 26542*a\/5 - 25392\/5 = 0. Calculate a.\nAnswer: -23, -8, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 87 = -5*v, -3*w + 5*w - 4*v - 86 = 0. What is the remainder when 80 is divided by w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -923, 2\/3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 112\/(-64) + (-2 - 134\/(-8)). Let q(p) = -p**2 + 15*p + 26. Give q(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 753 and 1797.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -k + 77. Let f be k*35\/231 + (-2 - 0). Which is the third biggest value? (a) 5 (b) 11 (c) f (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/10 + (-4)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m - 6. Let v = -55 + 53. Let g be w(v). Let u(k) = 283*k**2 + 35*k - 8. Let x be u(g). Round x to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98195*m**3 - m**2 + 15396*m + 1?\nAnswer: -589170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 2 = -3*z + 2*w, 4*z = 5*w + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 3*y + 22. Let h(v) = 7*v**2 + 17*v + 132. Let o(l) = 6*h(l) - 34*x(l). Differentiate o(p) with respect to p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 222\/5*l**2 + 33\/5*l**3 + 92*l + 312\/5 - 1\/5*l**4 = 0. Calculate l.\nAnswer: -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 12) in base 4?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 282637079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 12176768.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b - 5 = 53*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/13, 1\/3, 0.4, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314 + 23*z**2 + 316 - 630.\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y**2 + 0*y + y)*(1 + 26*y + 0 - 60*y).\nAnswer: 34*y**3 + 67*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203870091.\nAnswer: 3, 23, 2954639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 610 and 34130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - -66. Suppose 0 = -2*z - 2*l + 348, 5*l = -z + 290 - p. Let q = 256 - z. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**3\/2 + 25*n**2\/2 + 8*n. Let w be f(-6). List the prime factors of w\/(21\/(-54))*2\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105965690.\nAnswer: 2, 5, 10596569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -45430?\nAnswer: -45426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, -878, -1316?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 891180.19172.\nAnswer: 891193.19172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 569 = -3*g - 2*g, -4*g = -4*b + 1152. List the prime factors of b.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*-1*(-1)\/(-2). Let c = -0.32 + 0.21. Let t = -0.21 - c. What is the closest to t in 4, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152710 = 5*g - 0*g. Suppose -3*w = l - 85182 + g, 0 = l - w - 54656. Let x = l - 83052. What is x rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 2*v + 1. Let c be f(-2). Let x(o) = -5*o**3 - 2*o**2 + 3*o + 3. Let q be x(-3). Let l = q + -98. Is c at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/184 and -131\/138.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31 (b) -17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/8)\/i**(-3))**(3\/43)\/((i**1)**(21\/4)*(i*i\/((i*i**(-4)\/i)\/i))\/i*i\/i**5) assuming i is positive.\nAnswer: i**(-2413\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1031?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000001100 + 10101110001?\nAnswer: -1010010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 3. Suppose -2*v + 9 = v. What is u(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022120 (base 3) to base 4.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1872)*1.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(19) - (3*sqrt(19) + 2)) + (0 + sqrt(475))**2)*-6.\nAnswer: -2808 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 11 = -5*i - 23*d, 5*i = -d + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -70884?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*m + 157 = 468*m + 5104 + 3325 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 15. Let p(c) be the first derivative of -16*c**3 - 7005. What is p(m(v))?\nAnswer: -48*v**4 + 1440*v**2 - 10800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192 take away 1310?\nAnswer: -1309.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4 - 19\/38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 + -124. Let c be (-52)\/(-6) - (-4)\/(-6). Is 15 a factor of (-10)\/t*(-36)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/(-4) - (-9)\/36. Let p = 11 + x. Solve p + 20 = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2510*x - 3244*x + 3698*x.\nAnswer: -2056*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = -3. Let p be (((-32)\/84)\/((-48)\/(-56)))\/(2\/(-9)). Solve 5*a + s = -m - 6, -p*s = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1743315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -530, -803, -1080?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) + (sqrt(112)\/sqrt(4))**2 - sqrt(7)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 - -0.35. Let z = r - 1.5. Let y be (-3)\/6 - (-11)\/10. Which is the closest to z? (a) -1 (b) 1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198918 is divided by 881.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*y - 1. Let b be 4\/y*(-36)\/(-8). Is 2 a factor of ((-18)\/(-4))\/(b\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.686 + 241543.\nAnswer: 241570.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6925*y. Let r(f) = -563*f. What is m(r(l))?\nAnswer: 3898775*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:31 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (3 + 3)\/(-2). Let w be 4\/18*-6*-15*p. Is 20 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30732517 is divided by 313597.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 2*y + 6*y + 3 - 17 + 7.\nAnswer: 4*y + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6.3 + -13\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24181 from 0.6.\nAnswer: -24180.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let t be n(2). Suppose 0 = -6*g + t*g + 20. Let l(d) = 6*d - 14. Calculate the remainder when l(7) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12001.\nAnswer: 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*r - 167, -4*t - 4*r + 241 = -87. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxx when three letters picked without replacement from zxsxsxxxsss?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 35215 - 56?\nAnswer: 3519d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-9)\/((-63)\/28))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 + 2*w. Let k(o) = -3*o**3 + 2*o**2 - 4*o. What is -6*k(c) - 11*q(c)?\nAnswer: 7*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**4 + 4*n**4 + n**4)*(60*n + 18*n - 42*n)*(-2 - 2 + 3)*(0 + 3 - 5)*(2 - 2 + 1).\nAnswer: -72*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/36 and -1\/63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19655378 - 12062863.80344622. Let h = 12062864.10299918 + z. Let k = 0.103 - h. Round k to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-10))\/((-7)\/35). Suppose 5 = 5*j + 4*a, j = -2*j + a - r. Let g be 358500\/((-7)\/((-14)\/j)). Round g to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 385\/28 - 11 - 2\/(-8). Find x, given that -3*x**l - 7960*x**2 + 7951*x**2 - 3*x + 3*x = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10731 + -134?\nAnswer: 10575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 53*y - 25. Let d be h(2). Solve -82*s + d*s + 7 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11817 to the nearest one hundred.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94236047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 6*g - 6. Let f be 9\/6*16\/(-6). Let a be y(f). Let s(r) = -a*r + 2*r + 1 + r - 2*r. Determine s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7838 rounded to two decimal places?\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/4 - 7527*f**3\/2 - 56625613*f**2\/4 + 56670783*f - 56685841.\nAnswer: -(f - 2)**2*(f + 7529)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) + 68\/(-16). Let k(u) be the third derivative of u**4\/12 + 3*u**3\/2 - 24*u**2. Calculate the least common multiple of k(l) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 - z + 3. Let h be d(4). Let k be (-1)\/(h\/(-3564))*-1. Suppose k = -5*r - 186. What is r rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2281.4 + -2362.451. Let k = i + 81. Let w = -0.049 + k. Is w > -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/546 and 41\/252.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0 + 0*t + 7\/8*t**4 - 42*t**2 - 1\/20*t**5 - 3*t**3. Determine p so that i(p) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 883 - 832. Suppose 28*n - s*n = -1472. What is the remainder when 381 is divided by n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -286, -618, -1006, -1456, -1974, -2566?\n\"Answer: -z**3 - 22*z**2 - 259*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(112) - (sqrt(112) + 1)) + -2)**2 - sqrt(112)).\nAnswer: -4*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 140 (b) 3\/4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4538799 is divided by 5827?\nAnswer: 5393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - i**2 + 3*i + 1. Let q(t) = -3*t + 2*t - 1 + 2*t. Suppose -68 = -3*g + 5*k, 5*g - 315 = -4*k - 362. What is g*x(a) - 3*q(a)?\nAnswer: -2*a**3 - a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1467\/8 + -15861\/88. Let h be (-2)\/(-4) + 954444\/33. Let w = h - 28928. What is the common denominator of x and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 113877*y + 4550280.\nAnswer: 3*(y + 40)*(y + 37919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -147634 take away -13294?\nAnswer: -134340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163478 - 44629432\/273. Calculate the common denominator of s and -113\/36.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 244 and 610.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/54 + -1 + 0\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*j**2 - 63*j**2 - 2813*j + 2773*j)*(j + 1 - 1) + (2 - 2 - 8*j)*(0*j**2 - j**2 + 0*j**2).\nAnswer: -37*j**3 - 40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k. Let v(z) = 66*z + 1857. Determine v(u(w)).\nAnswer: -1584*w + 1857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -23. Suppose 1 = 5*z - 9. Suppose -h = -z*h + 26. Calculate the remainder when h is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (sqrt(200) - 1*sqrt(200)) + sqrt(200) + (sqrt(50) + sqrt(100)\/sqrt(2))*-3)\/(sqrt(160) + (sqrt(160) - -2*sqrt(160))*5)*4.\nAnswer: -3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*p**4 + 1005*p**3 + 39026*p**2?\nAnswer: 528*p + 6030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6638)\/(-248925)*((-54)\/(-51))\/6*(1 - 2)?\nAnswer: -2\/425","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i - 3. Let g(b) = 6*b - 2. Let r(u) = -42*u**2 + 79*u**2 + 8*u - 38*u**2 - 5. Let t be r(8). Determine t*o(x) + 7*g(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*sqrt(128) - sqrt(128)) + sqrt(128) + -5*(sqrt(128) + 1))**2.\nAnswer: 128*sqrt(2) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from ttttataa.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42447594439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -17*r - 39. Let z be s(-16). Suppose -z - 309 = -2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-45) + (-20)\/30. Which is the nearest to 2\/5? (a) -2\/65 (b) -5\/4 (c) y (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**3 + g**2 - g. Suppose 1 = -2*y + 3. Calculate s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252036631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + n + 9 = -i, 2*n + 5 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:54 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 7*x**2 - 9*x - 3. Calculate q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/300 - o**5\/150 - o**4\/12 - o**3\/5 + 85*o**2. Solve l(t) = 0 for t.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/22*(-12)\/(-72)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6686304*n**2 + 3 - 3 - 6686329*n**2.\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(128)*-3)\/((sqrt(100) + (2*sqrt(100) - sqrt(100)))*-4 + sqrt(100))*-3.\nAnswer: 108*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -262 - -269. Suppose 6*a + 3746 = r*a + 3*b, -4*a - 4*b = -15024. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305 + 305. Solve 1\/3*o**4 + a - 1\/3*o**2 + 0*o + 0*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.095 - 6.465. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 2*g = 6, -2*h - 11 = 3*g. Put h, 1, -0.5 in decreasing order.\nAnswer: 1, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**3 - 8*c**2 - 9*c - 37. Let s(j) = 4*j**3 - 5*j**2 - 5*j - 18. Give 3*g(x) - 5*s(x).\nAnswer: x**3 + x**2 - 2*x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1)\/(468\/24).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/151? (a) -0.07 (b) -2\/25 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -0.22213?\nAnswer: 0.22213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51601, 103201, 154801, 206401, 258001?\n\"Answer: 51600*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/14)*o**24\/o assuming o is positive.\nAnswer: o**(323\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 11:00 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, j: 2, z: 6, e: 2}. Give prob of sequence reez.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -238299 - 366*j**3 + 240029 - 208*j**3 wrt j?\nAnswer: -1722*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p*p*p*p**(-1\/3)*p*p)))*p*(p\/(p*p**(-1\/18)))\/p)\/(p**1\/(p**11*p*p)))**(1\/9) assuming p is positive.\nAnswer: p**(151\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:01 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 3)\/((-2)\/(-2)). Let z = -12.3 + 0.3. Let s = 12.6 + z. Which is the second biggest value? (a) s (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(((-135)\/(-54)*2)\/5)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v - 21 = 0. Suppose 3*p + 0 = v. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -59, -10648\/17 in decreasing order.\nAnswer: 5\/2, -59, -10648\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*12\/126 + (-12225)\/(-35) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (13 + -13 - (-4 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**3 - l**2 - 2*l - 2. Let j be u(-1). Let s = j + -7. Suppose 2*w + s*w = 414. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62113 times -2?\nAnswer: 124226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/l**(-17))**(-33))**(-33) assuming l is positive.\nAnswer: l**21780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 3*w**2 - 5*w + 5*w to t + x*w**2 + z*w and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 460322\/(-92)*-1*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 462*a + 947*a - 216*a)*(1 + 4 - 3).\nAnswer: 538*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2754, -5477, -8200, -10923, -13646?\nAnswer: -16369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 4*d + 5, -11*o - 4*d = -9*o - 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 28, 17?\n\"Answer: -11*h + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 90*i + 3716. Calculate t(30).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 at most 7451\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -2 - (5 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, 0.1, 437, 5?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 22788264?\nAnswer: -22788264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*x = -0*g + 36, -180 = -5*g - 2*x. Solve -g + 39 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548415549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52.24 - 116.24. What is the fourth smallest value in 0.4, 9, c, -1, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631005 is divided by 60?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 9:46 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(792))\/(sqrt(11) + (-2*sqrt(99))\/sqrt(9) + sqrt(11) + sqrt(11)))**2 - (-5*sqrt(8)\/sqrt(4)*6 + 5)*-3.\nAnswer: -90*sqrt(2) + 1815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442439023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67236 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 729 - -1689. Let c = r - 1718. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -0.1, -66, 0.02646?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 33*t - 130. Determine m(-38).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 2, w: 1, n: 1, v: 1, o: 2}. What is prob of picking 1 h, 1 v, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -0.2. Let i = 0 + 3. Let z = i - 4. Which is the nearest to z? (a) 5 (b) 2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/448? (a) 4\/11 (b) -0.2 (c) 1\/6 (d) 2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2117 + -2016. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 3, 0 in decreasing order.\nAnswer: 3, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (90 + 93 - 173) + (2 - (-1 - -4)) + -43\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 0 - -6) + (7 - (4 + 0 - -35)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61349 and 1519?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010*h**3 - 4085*h**2 - 3210*h - 135 = 0. What is h?\nAnswer: -3, -1, -9\/202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -164.6?\nAnswer: -140.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1889488796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eez. Give prob of picking 1 z and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/((-18)\/60). Suppose -65 = -k*v - 0*v. Let b(t) = t + 4. Calculate the remainder when v is divided by b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - -4.99. What is the third smallest value in 4\/7, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4090722 is divided by 956?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1607330628 to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21023111212 (base 4) to base 16\nAnswer: -24b566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1565 - 7?\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.776 - -0.692. Let y = 0.884 + w. Which is the biggest value? (a) -1\/4 (b) 5\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/((sqrt(396) - (-1*sqrt(396) + sqrt(396) + sqrt(396))) + sqrt(396)) - 1*(sqrt(156)*2)\/sqrt(12))**2*3.\nAnswer: 1573\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 6*g**2 - 9*g - 6. Let p = -4117 + 4124. Calculate the remainder when x(-6) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1 (c) 2 (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s**3 - 8*s**2 + 10*s - 1. Let z(k) = 15*k**3 - 14*k**2 + 19*k - 2. What is -11*r(m) + 6*z(m)?\nAnswer: 2*m**3 + 4*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*n = -1155*n - 322*n + 7165 - 190 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g*o**2*s - 6400*g*o**2 - 106*o**2*s**2 + 6*s**2 wrt s.\nAnswer: -g*o**2 - 212*o**2*s + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**(-1\/11))\/(o\/(o*o\/(o\/((o\/((o**(-12)*o*o)\/o*o*o)*o)\/o))))*((o**(1\/5)\/o)\/o)\/o**10 assuming o is positive.\nAnswer: o**(71\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*v, -s + 26 = -3*v - 2. Suppose 0 = s*y - 4*y - 108. Which is bigger: 38\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2678 and 26.\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - o**3 - 2*o**3)*(-2 + 0 + 4) + (73 - 73 + 2*o)*(-3*o**2 - o**2 + 2*o**2).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/3 + 2*r + 629. Let d(a) = -4*a**2 - 42*a. What is d(k(z))?\nAnswer: -64*z**4 - 168*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13244, -13246, -13250, -13256, -13264, -13274, -13286?\nAnswer: -13300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/6)\/((-10)\/(-15)). Let z(s) be the second derivative of s**4\/12 + s**2\/2 - 3*s. Let d(c) = c**2 + 11. Let r(t) = u*d(t) - 6*z(t). Factor r(a).\nAnswer: -5*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4.3. Let l = 92264.09893 + -92259.8. Let z = g - l. Round z to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -4. Let n = h - -1. Is n > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (351\/(-26))\/(3 - 2355\/820). Are j and -104 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-36))\/(4\/(-118)). Which is smaller: 21 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 + 17 = 32*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22391 is divided by 5595.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -22, -41, -66?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350977680?\nAnswer: 2, 5, 13, 23, 56479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 1\/8, -274, -2\/53, -40?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2388.822cm to kilometers.\nAnswer: 0.02388822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = 10. Let t(d) = -4*d - 25. Let l be t(i). Suppose 8*m - l*m - 4255 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.3609 + -111130.\nAnswer: -111148.3609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -46?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, d: 3, h: 3, j: 1, l: 1, o: 1}. Give prob of sequence edde.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, 16, -2\/9, 2495, -5, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 9. What is p(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 (base 10) in base 7?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134832.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 106516.333 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117)*-2*5)) - sqrt(117))\/sqrt(9).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2016\/792)\/(6\/33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1101083241 + 5*v**3 - 77*v**2 + 77*v**2 - 1101083241.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 20*v**3 - 39)*(-10 - 14 + 101)*(-v - 4*v + 2*v).\nAnswer: -4620*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098824 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805939?\nAnswer: 29, 27791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -46 (b) 0.0859 (c) 2\/11 (d) -4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u**5 - u + (-2*u**3 - 1 + 1)*(-4*u**2 + 3*u**2 + 3*u**2) - u**5 + u**5 + u**5 + (1 - 1 + 2)*(-8*u**5 + 7*u**5 - 14*u**5).\nAnswer: -34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.432128 decades to centuries.\nAnswer: 0.1432128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -3. Let j = c + -18. Sort 1, j, 3.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c*g*m - c*g - c*m + 348*c + 5*g*m + 913*g + 159 wrt g?\nAnswer: -7*c*m - c + 5*m + 913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21137066 and 0.8.\nAnswer: -16909652.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/(4\/(-6)). Sort -4\/5, 0.4, d, -2\/21 in ascending order.\nAnswer: -4\/5, -2\/21, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/4 + 10725\/78?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -464\/3 + 156. Let q(x) be the first derivative of -h*x**3 - 6*x - x**2 - 1\/4*x**4 + 3. Determine q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10828893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44856220 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 95?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4589 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -6*l + 9*l. Suppose 5*o = -5*v + 15, -o - o = -4*v + l. Let p = 19 - 9. Calculate the remainder when p is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a = -a - 56861 + 56185 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -27. Let x be s\/(-5)*(1 + -6). What is the smallest common multiple of 11 and ((-1)\/(1\/x))\/(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + h = -24, 43*h - 291 = 2*t + 76*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174384 + -75616. Round v to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25204*s**2 - 89*s**3 + 25204*s**2.\nAnswer: -89*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110112123 (base 4) in base 11?\nAnswer: -57698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*s + 1291*s - 313*s - 323*s - 313*s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*w - 9. Which is the fourth smallest value? (a) 2\/3 (b) -2 (c) 4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 + 11*v - 11. Let x(u) be the first derivative of 2*u + 8 - u**2 + 1\/3*u**3. Suppose -t = 4 - 0. What is t*f(h) - 22*x(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03+-53264.7\nAnswer: -53264.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87667891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8416081909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.6961 weeks to microseconds.\nAnswer: 45176201280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/((-7072)\/(-51)))\/(2\/((-16)\/(-2))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 505559460 a multiple of 2261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:28 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, l: 1, v: 1, f: 4, r: 5}. Give prob of sequence fvr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 182.4 and 3.\nAnswer: 185.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -5*d**4\/4 - 20*d**3\/3 - 2*d**2 + 556*d + 3990. What is the first derivative of a(m) wrt m?\nAnswer: -15*m**2 - 40*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.60103 - -23299.\nAnswer: 23296.39897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*u - 23, -4*n = -2*u + 6*u - 8. Suppose -u*w = -12*w + 25. Solve -7 = 2*f - 5*a + 6, -w*f + a = 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/d**3*(d**0\/d*d)**44 assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8743702*h**3 + 34876541 wrt h?\nAnswer: -26231106*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v - 4 = 4*f, 0 = -5*v + 2*f + 10. Suppose 0*g + 3*g = -2*z - 1, v*g + 2*z + 4 = 0. Solve -4*o + 9*o = 2*b - 25, 5*o + g*b = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/55? (a) -4 (b) 0.35 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9596 take away 22.05?\nAnswer: -19.0904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7768.837 nanograms?\nAnswer: 0.000007768837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3507460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 4:40 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1935361341.\nAnswer: 3, 31, 6936779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29212192 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y*y\/(y**0*y)*y)\/y)\/y*y**(-3\/2))**(-7\/12)*(y\/(y*y*(y\/y**(1\/4))\/y))**(-27)\/(y*y\/((y*y**(-2\/7))\/y))**(-15) assuming y is positive.\nAnswer: y**(9113\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 = 172*x + 1798 + 887 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1\/3441 (b) 1 (c) 14 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 113, 117, 119, 119, 117, 113?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (23 - 25 - (1 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 194*r - 11*r**2 - 63*r - 66*r - 65*r. Let l(v) = -4*v. Determine l(h(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -370, 2, -5, 5, -7 in descending order.\nAnswer: 5, 2, -5, -7, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -136, 643, 2 in descending order.\nAnswer: 643, 2, -3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39 + 3*2\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*n = -9, -n + 11 = -4*i - 4*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11146050 (base 7) in base 13?\nAnswer: -27c4b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2179 - -3504. Let i = 1694 + w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = 7. Suppose -6*o - 1160 = -k*o. Round o to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -100*s + 10. Let r be v(-9). Let z = -421 + r. Let o = z + 52. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75, -310, -723, -1332, -2155?\n\"Answer: -3*x**3 - 71*x**2 - x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2\/2 - 16*g + 456. Calculate y(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgulcly. What is prob of picking 1 c and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/4 + 17895*j - 320231025 = 0.\nAnswer: 35790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 37*t**2 + 5850*t + 6124. Determine z(-157).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4*3*-4. Let u = 13 + -48. Let r = u - -35. Which is the biggest value? (a) -2\/9 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.39 - 6.29. Let v = c + 6.2. What is the third smallest value in -2\/5, v, -1, 13\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/11)*b**(-5\/4)\/b assuming b is positive.\nAnswer: b**(-83\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 628 - 546.2. Let r = -93.79885 + h. Let w = 12 + r. Round w to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -12\/19, 5\/33, 16?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25685 + -102733\/4. Sort 1, 0.2, -4\/3, k, -0.3 in increasing order.\nAnswer: -4\/3, -0.3, 0.2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -25*p + 66. List the prime factors of s(-8).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287337 = -3*k + 4*p, p - 6 = -3. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) 2 (c) 1\/14 (d) -4 (e) -0.4 (f) 771 (g) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*p - 2*n + 21, 4*n - 8 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacccagacgacc. Give prob of sequence gc.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 8158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 113\/3 - (-4)\/(-6). Suppose 4*w - 5*v = c, 0*w - 3*w + 4*v + 27 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*c = 4016, 4*c - 3*c = 2*o - 2005. List the prime factors of o.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -1051?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/9 + 43*h**2\/9 + h\/9 - 43\/9 = 0.\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -17*h**2 - 15*h + 2. Let t(d) = -9*d**2 - 8*d + 1. Let v(s) = -6*g(s) + 11*t(s). Let n be v(1). Let a(i) = i - 2. What is a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1239 - 1240. Put -9, 4, f in increasing order.\nAnswer: -9, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/120 and 151\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l + 13490. Let j = l + 37661\/14. What is the common denominator of j and 43\/11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, 0, -1, 25, -9.\nAnswer: -26, -9, -4, -1, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -1\/10, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4787 + 0*3\/(3 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (39 - 79) + (29 - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7046199g?\nAnswer: 0.0000007046199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6 + 2*t - 2 + 4. What is the remainder when b(10) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 20 = -x - 5*p, -4*x - p + 4 = 0. Suppose x = 4*g - 0*g - 2676. Suppose -446 = -5*d + g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 118929?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 0*u + 93 + 105 + 11*u + 72.\nAnswer: 11*u + 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 - (4 + -15) - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66980 times -4\nAnswer: -267920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2609151 and 298.\nAnswer: -2608853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 9 - 82 - 5*n - 32 - 76 to the form z + r*n and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14353 (base 6) to base 7\nAnswer: -6465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 3*(sqrt(70) - sqrt(70)*-4) + sqrt(70) - sqrt(70)) + sqrt(70))\/(sqrt(90)\/sqrt(81)).\nAnswer: 51*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 350 + -193. Suppose 3*l - k = 23. Calculate the greatest common divisor of 40 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-55)*(-2)\/32*8*11*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 49 = 61. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8292, -8333, -8404, -8505, -8636?\nAnswer: -8797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1187 in 3\/7, -3\/5, -12, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774057513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0371 - -0.3629. Does -0.77 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - x + 15, -2*x + 30 = 5*c. Let j(i) = -c + 3 - i - i**2 - 6*i. Let o be j(-6). Solve -o = n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86.9 + -88.3. Let l = -2.626 - f. What is l rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 43*g**3 - 3*g**2 + 2*g. Let s(a) = -a**2. Calculate 2*n(r) - 6*s(r).\nAnswer: 86*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. What is the remainder when 14 is divided by ((-8)\/r)\/((-1)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.338265 times 0.1\nAnswer: 0.0338265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from corzccici. What is prob of sequence ci?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h - 28. Let v = 13 - h. Let t be v\/9*(0 - -6). Solve -3 = -t*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 640665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x + 213 + 215 - 422)*(-x + 3 - 3).\nAnswer: -20*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 1\/5*c**2 + 1\/10*c**4 + 1\/5*c**3 + 0 + 1\/50*c**5 + 8*c. Factor g(u).\nAnswer: 2*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-13 - -19 - -24 - -34).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*c + 24 = -85*c + h, 3*c = 4*h - 52 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9615.\nAnswer: 3, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.48?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0 - 55*v**2 - 1\/4*v**5 + 0*v + 0*v**4 + 0*v**3. Let w(r) = -9*r. Calculate c(w(j)).\nAnswer: -1215*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9588908 divided by 82663\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46296060 a multiple of 3126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5*2)\/(2592\/960)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 2. Suppose b + 60 = 6*b. Calculate the highest common divisor of u and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:13 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1118 + -1201 - (14 + 4 + 7)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -33. Suppose 3*c + 5*a - 52 = c, -2*a = 4. Calculate the remainder when c is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 - 5*j + 8. Let c be x(-6). Suppose -1 = c*w - 9. Suppose -r - 4 = -y, y + 0*y = -5*r + w. Which is bigger: 2\/3 or r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -283.2 - -283. Let d be 1\/2*2\/5. Is d less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2520264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g. Let j(s) = -8*s + 14. Let q(y) = 3*y + 55. Let b be q(-9). Let f(t) = -2*t + 3. Let m(o) = b*f(o) - 6*j(o). What is v(m(c))?\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niiginggi. Give prob of picking 2 g and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 40, 0.5 in decreasing order.\nAnswer: 40, 3, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p + 4 = 0. Let i be (-54)\/p*80\/(-3). Round i to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62228 * -1\nAnswer: -62228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62.095 - -1825.\nAnswer: 1762.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 1576\/3*k + 4678*k**3 - 15280\/3*k**2 + 24*k**4 + 1568\/3 = 0.\nAnswer: -196, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 22*u - 8 = 0. Suppose -5*x + 378 = -2*x + 3*s, 5*x - 621 = u*s. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = q + 4, -3*v + 8*v + 2*q = 10. Suppose a - 27 - 1 = 5*i, -24 = -4*a - v*i. Calculate the smallest common multiple of a and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 10:07 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*o - 2*s + 33, 0 = -5*o - s + 31. Let a = 23335 - 23319. What is the remainder when a is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22482 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 1 = 9. Let i be f\/(-1)*1 - -1. Differentiate 2*r**3 - 3 + 2*r**3 + r**3 - 4*r**i with respect to r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/(-10) + 2\/5. Suppose 0*w + 2*w - 18 = -x*u, 0 = w + 4*u - 15. Sort w, -5, -1\/7.\nAnswer: -5, w, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 33 = -3*h, 33*y - 40*y - 2*h = -y + 58 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 11*z + 40. Suppose 3*a - 5 + 15 = d, 4*a = -4*d - 40. Let l be n(d). Solve -2*h = -l, -5*h + 0*h + 22 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2466554 and 1062.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1974)\/(-17) + -6 + 5. Let j = 115 - d. Sort 12, 0, 0.15, j in descending order.\nAnswer: 12, 0.15, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -5, 0, 2, 328, -1 in ascending order.\nAnswer: -5, -1, 0, 2, 44, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 3. Let f = 59 - 62. Let n(k) = 3. Determine f*g(x) - 3*n(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*p + 25 = 0, -4*p = -5*p. Suppose 2*r = 5 + j. Let 0 + 3\/2*l**r + 0*l + 3*l**4 + 3\/2*l**3 + 0*l**2 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/22 + (-9)\/18. Let t be -7*(1 - 0)*-3. Solve 20*d = t*d - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0)**22\/(j**0\/j**(-3\/4)) assuming j is positive.\nAnswer: j**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17 - 2409\/143)\/((-1)\/(-13)). Solve -3*z + i*c = -4*z + 12, z = c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 13. Let d(t) = -t + 12. Let s(z) = 5*d(z) + 4*x(z). Let i be s(8). Solve i = -4*q + 5*m + 21, -4*q + 20 = -0*q - 4*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 3*s - 2*s. Suppose 0 - 2 = -p. Let z = 3 - p. Let w(l) = -l. Determine z*t(m) + 2*w(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 6*s**2 + 6*s - 3. Suppose 0*l + 4*l = -4*x + 8, 5*l - 5*x = 40. Calculate h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9386966164 divided by -4?\nAnswer: 2346741541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1580501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a hour in seconds?\nAnswer: 85200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*q - 26, i + 5*q + 28 = 5*i. Put -6, 6, i in descending order.\nAnswer: 6, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 87*g**2 + 138*g + 648.\nAnswer: 3*(g - 27)*(g - 4)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/5, -14, 1.196, 3, -0.43?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 619*i - 169. Let f be b(-9). Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 58. Let p be (2\/8)\/((-126)\/32 - n). Solve -p*b - 3 = -7*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 18.153 times -7734\nAnswer: -140395.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25935 less than -39?\nAnswer: -25974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112431 (base 5) to base 10.\nAnswer: 35366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1000001001101101010010?\nAnswer: 1000001001101101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1763006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbv when three letters picked without replacement from {a: 6, b: 4, w: 2, e: 1, v: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60211 is divided by 7516.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27665.\nAnswer: 5, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(0*l + 3*l - l)*(-8 + 4*l + 8) as t*l**2 + z + n*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/630 and -47\/3368835?\nAnswer: 47163690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.029 (b) -15\/73 (c) 3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 228810615 to the power of 1\/2, to the nearest integer?\nAnswer: 15126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 + -108 + (-54 - 5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-40)*(128\/(-3))\/16?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502856*i + 502915*i - 1416 = 0 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19460 + 25915. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 12 - r**2 - 246715*r**3 - 3*r**2 + 246712*r**3.\nAnswer: -3*r**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2 - (0 + 4))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (342000\/(-42))\/(2\/(-2800)). Round h to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 140 = -224. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w + 16. Suppose 3*b - 18 = 2*b. Suppose w*z - b = -4*o + 2*o, -5*o + 5*z = 5. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -76. Let l(c) = -c**3 + 3*c**2 + 3*c + 1. Let j be l(3). What is the highest common factor of j and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(432) - sqrt(432) - sqrt(48) - sqrt(48))\/((sqrt(6) - (sqrt(6)*-1 + sqrt(6)))*-1))\/((sqrt(72) + 2*sqrt(72))\/sqrt(2)*-6))**2.\nAnswer: 1\/1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)*k**3)\/((k*k**(2\/33))\/k**(-5\/2))*(k\/k**(-8)*(k\/(k**(4\/7)\/k))\/k)\/(k**0\/k)**(-2\/3) assuming k is positive.\nAnswer: k**(3943\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) -3 (c) -8\/11 (d) 3 (e) 139544 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x - 3. Give g(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 2*b + 1. Let m be w(1). Suppose -5*o = 5*u - 20, 10 = 4*u - o - o. Differentiate 1 - 7*n**m + 2*n**3 + 6*n**u - 4 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**2 + 1. Let p = 35 + 11. Let a = p + -47. Calculate l(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 4}. Give prob of picking 3 k and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + k + 25, -14 - 41 = 11*s - 5*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 490*t - 528*t - 525*t + 2076*t - 529*t - 14*t**2.\nAnswer: -11*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 5\/14*d**4 - 51 + 2\/35*d**5 - 17\/7*d**2 + 24\/7*d - 2\/21*d**3. Factor q(t).\nAnswer: 2*(t - 1)**2*(t + 3)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92245 divided by 1.\nAnswer: -92245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*p - 90*p - 116 - 311 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (-5 + 1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 11*v**2 + 10*v**2 + 4 + v.\nAnswer: -v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d + 46*d - 22 - 7 = 12*r + 16, 0 = 19*r - d + 31 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-374)\/88 + (-1 - -5). Suppose 4*v = -y + 3*v - 1, 3*y = -v + 3. Let m = -3 + y. Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107.3 - -107. Let i = -1 + 0. Let n = -136 - -412\/3. What is the nearest to x in -5, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*u + 82*u - 258*u + 90*u + 11*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 1323*f + 70948. Determine k(-56).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1627 - 2784. Is -1157 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 388073270 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 518890.1g?\nAnswer: 518890100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(10 - 2 + 6)*(1 - k - 1) to the form z*k + q and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 78335 + 78280 = 3*r, -3*r + 85 = -2*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/11 - 10982*r**4\/11 - 142260*r**3\/11 + 920088*r**2\/11 - 107568*r = 0.\nAnswer: -5478, -18, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29868 and 1343143?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/33? (a) -2\/5 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4ded (base 15) to base 3\nAnswer: 211211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201132 + 13?\nAnswer: 201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 2*a - 41 + 29, 4*n - 24 = -5*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171483\/5 + 34089. Let q = -312 - -105. Let o = q - m. Put o, -0.2, 5 in increasing order.\nAnswer: -0.2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**3 + 115*z**2 - 96*z + 65. Calculate r(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 2*k**3\/3 + 3*k**2\/2 + 18*k - 31. List the prime factors of z(7).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 times 3.3192?\nAnswer: 1586.5776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbobobbobbbo. Give prob of picking 1 b and 1 o.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(-2*sqrt(2)))\/(sqrt(36)\/(sqrt(4)*3)) + (3*(sqrt(108)\/sqrt(3) + sqrt(36) + sqrt(36)))\/(-3*sqrt(300) + sqrt(300)).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 47 + 41 - 66 + 4*w - 204.\nAnswer: 4*w - 387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 540104 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -474.8 + 475. Which is the nearest to o? (a) -0.1 (b) 0.06 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -1839*k**2 - 3666*k + 24 = 0?\nAnswer: -2, 4\/613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320))*4*-4*-3 + ((sqrt(40) - -2*sqrt(160))\/(sqrt(8) + (sqrt(800) - (sqrt(800) - sqrt(800)*-2))))**2.\nAnswer: -17203\/361 + 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397753077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a year?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 1690.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 924856?\nAnswer: 97109880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 92\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11768, 11822, 11928, 12092, 12320, 12618, 12992, 13448?\n\"Answer: a**3 + 20*a**2 - 13*a + 11760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16063 is divided by 2293?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bc + 35?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2258 - 1048. Let h = u + 19753\/6. Calculate the common denominator of -19\/8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1983300283.\nAnswer: 1983300283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -10. Suppose 6*c = 11*c + x. Let m(g) = -57*g**3 - g - 1. Calculate the remainder when m(c) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9273008 rounded to three decimal places?\nAnswer: -10.927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16181 + 7064. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 18*z + 13. Let g be l(-8). Which is greater: g or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*q + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*l + 9. Let x(h) = -7*h**2 + 2*h + 4. Let r(q) = -20*q**2 + 5*q + 11. Let n(u) = l*x(u) + 6*r(u). Let k be n(-2). Solve -k*f = -5*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*q**4 - 298*q**2 - 5*q**4 + 296*q**2 - 6*q**4 as w*q**2 + o + h*q + a*q**4 + i*q**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -32*i**3 - 13*i**2 + 6*i - 4. Let j(y) = -32*y**3 - 12*y**2 + 7*y - 5. Let o(p) = 4*j(p) - 5*t(p). Find the third derivative of o(d) wrt d.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 6*i**2 + 25*i + 26. Let d be u(9). Suppose d*n = 6*n + 5402. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57000 to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8216.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 1108, 1645?\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 56*i**2 - 49*i**2 + 256 + 289.\nAnswer: 7*i**2 + 3*i + 545","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/2*(-16)\/(-68).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, -0.056, -22, 4, 11, -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 884 divide 43399096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 15*k + 21. Let y be n(7). Let c be (-2)\/7 + 3798\/y. Calculate the greatest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1130\/78 - 14) + -2 + 72\/39. Which is the biggest value? (a) -2\/75 (b) o (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 9.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*m + 220 = 0, m = 2*v - 55 - 55. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 2}. What is prob of sequence fl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4371200 and 1480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnm when three letters picked without replacement from {m: 2, p: 2, b: 2, e: 1, n: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 213\/317 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 9, r: 3, b: 4}. What is prob of sequence qrz?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - v = 4, 0 = -z + v - 5*v - 5. Let a be (6*2\/(-3))\/z. Find the second derivative of -2*w - w**4 + 3*w - w**a wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 71908*z - 4956896. Determine t(-69).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0 - 1\/12*y**4 + 0*y**2 + 1\/40*y**5 + 0*y**3 - 4*y. Factor x(i).\nAnswer: i**2*(i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.005 * -398266.1.\nAnswer: -1991.3305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 12*w**2 - 13*w + 5. Let q be f(13). Let o(g) = 1 + 0 - g + 2*g. Let d(h) = 2*h + 3. Calculate q*o(p) - 2*d(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 10*q - 18. Give j(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from law. What is prob of sequence al?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -70. Let k be (-16)\/3*138\/f + 4. Suppose -5*h = -3*q - q + 764, -k = -q + 2*h. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21996 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 41.4 (c) -2 (d) 0.1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129784 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-85)\/(-15))\/(14\/(-42))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -555 + 560. Let u = 5 + 2. Solve -6 = -w - g, c*w + g = u*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 2*t**4)*(3 - 4 + 2) + (3 - 3 - 2)*(0*t**4 + t**4 + 0*t**4).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1633, -2319, -3005, -3691, -4377?\n\"Answer: -686*v - 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 2 + 7)*(2*z**4 + z**3 + 2*z**3 - 4*z**4) in the form i*z**2 + c*z**3 + d*z + k*z**4 + a and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 53?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*2*(-143)\/780*8?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 25*m + 16 - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3589840944?\nAnswer: 2, 3, 53, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s. Let u(h) = h - 2. Let y be u(4). Calculate the smallest common multiple of 12 and 20\/((s - -2)\/y).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*k + 15 = 6*o, -5*k + 22 = -3*o. Suppose o = 2*h + 5. Let s be (h\/(-6))\/(5\/60). Solve s*l = 4*b, 3*l + 6 = -0*b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 24 = 6*t. Let r = -167\/20 + -3\/20. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:52 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (336\/504)\/((-2)\/(-15)). Solve t*i + 5 = 3*n, 0 = 3*n - 0*n + 2*i + 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**2\/2 + 3*w - 2. Is 3 a factor of c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 257 - 1802\/7. Let y = 0.229 - -8.871. Let x = y + -9. What is the nearest to h in -5, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*c - 304, -u + 6*c = 4*c - 147. What is the remainder when u is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*q - 6. Let v(f) = 2*f + 5. Let m be v(q). Let r = 0 - 0.2. Put m, 1\/2, r in decreasing order.\nAnswer: 1\/2, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424256503?\nAnswer: 11, 89, 433357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 8 (c) 667 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d**(5\/7)\/d))\/d))**(4\/7) assuming d is positive.\nAnswer: d**(20\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a decade?\nAnswer: 2680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - r - 389, -2*r - 233 = -n + 156. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**9\/211680 - m**7\/17640 - m**5\/20 + 4*m**2. Let l(i) be the third derivative of g(i). Factor l(s).\nAnswer: 2*s*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 95?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-480))\/(4*(-3)\/(-3)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 1. Let x(i) = 8*i + 6. Suppose 2 + 0 = -2*h. Let c be (-4)\/(8\/18) - -3. What is c*t(n) + h*x(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -g + 6*g, 2*g - 12 = 4*u. Suppose 0*y - g*y = -1074. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foffffofof. Give prob of picking 2 o and 1 f.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-186)\/248*(20\/3)\/(-2). Suppose -3*h = -14 + 5. Solve -h*t - 10 = -n, -3*t + 6*n - q = 4*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2, -6.29 in descending order.\nAnswer: 2, -2\/11, -6.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2181354660 and 513.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/((l\/(l\/(l\/l**(-3\/5)*l)))\/l))**7 assuming l is positive.\nAnswer: l**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (6 - 14) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2768 by 173.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 2, n: 9}. Give prob of sequence ynn.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 130*r + 102*r = -699. Let u = 11 + -7. Let d(m) = -m - 2. Let h(q) = -2*q - 3. What is r*h(z) + u*d(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose 0*j - k*j + 27 = 0. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101)\/4 + 176\/32 + (-400)\/64?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-9)\/42) + 296\/(-444). Let d(p) be the third derivative of -3*p**2 + 0 + 1\/24*p**n + 1\/6*p**3 + 0*p. Determine d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 165*p - 46032. Let v be w(279). Let k(s) = s - 2. Let d be k(6). Put v, d, 206 in descending order.\nAnswer: 206, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d - 5e?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 3*m**2 + 0*m**2)*(0 + 0 - 1) + (0*m + 2*m + m)*(0*m - m + 3*m).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52341899?\nAnswer: 53, 419, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - (-5)\/2. Suppose l*h - 51 = 2*k - 1, k + 60 = 4*h. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 6. Let l(k) = -k**2 - 3*k - 3. Let v(n) = -2*n**2 - 4*n - 4. Let b(i) = -4*l(i) + 3*v(i). Give b(j(u)).\nAnswer: -18*u**2 + 72*u - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 13587277?\nAnswer: -1\/13587277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:30 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -4, 19, 0.07?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i - 1. Let f(k) = 3*k**2 + 7*k - 7. Let g(x) = -4*d(x) + f(x). Let s be g(11). Which is the third smallest value? (a) -0.4 (b) s (c) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2162, -1503, -5170, -8839?\n\"Answer: -t**2 - 3662*t + 5825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 + 0*n**2 + 3*n**2 + (2 + 6 + 1)*(5*n**2 - 7*n**2 + 6*n**2) in the form m + v*n + u*n**2 and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n. Let d be r(1). Suppose -113*t = -126*t + 78. Let y(a) = -4 + 1 - t*a + 34*a - 22*a. Determine y(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15)*(-602715)\/(-2). Suppose 0 = 3*o + 20*o - f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 x when four letters picked without replacement from xaxaaaaaaaax?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*i - 923 = 848 - 61 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 592, 595, 598?\n\"Answer: 3*x + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((37230\/(-40))\/(-219))\/(0 + 2\/24).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -11. Suppose -2*d = -0*d - 16. Suppose -4*j + y - 3*y = -d, 4*j - 16 = -4*y. What is the nearest to j in -4\/5, -1, h?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 407*u + 408*u + 5, -5*d - 2 - 7 = u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716 = 5*r - l, 4*r - 717 + 137 = -l. Let x = r + -96. Suppose 7*c - 6*c = x. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 * 2762253\nAnswer: 6629407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 3. What are the prime factors of k(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*c + c + 30, 4*f = 4*c + 24. Let x = c + 8. Suppose 4*w - 104 = -x*q, -5*w = -q - 122 - 1. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76653107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 1000*v**2 - 2*v - 5*v - 2*v.\nAnswer: 1000*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5557 + -5553. Let b = 7 - 4. Solve t + 12 = -m*j - b*t, -t = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.8 + -4.7. Let c = -2.6 + b. What is the closest to 1\/2 in 1, c, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -67*v**4\/6 + 605*v**3\/6 - 30*v**2. What is the derivative of z(s) wrt s?\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 4*b, 0 = n - 4*b + 12. Let g be ((-63)\/n)\/((-33)\/(-44)). Solve g*q = 4*q + 4*a + 13, -5*q + 16 = -a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/50*10\/9\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -255*(-2)\/(-174) + 3\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 640\/48 - 1\/3. Suppose -531*o - 1612 = -535*o. What is the greatest common factor of o and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64\/3 - -21. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 80\/35 + -2 - (-192)\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-308))\/((-5)\/14245)*(-4)\/28.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/19, 158\/555, 0.1, 8?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/168)\/((-3)\/(-27)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*f + 3*f + 4*f = -6*f - 10*f + 26*f, 0 = 5*a + f + 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*s - 4 + 30 = 0, 20 = -3*q + s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 5*g**2 - 3*g**2. Let f(m) = 4*m**2. Give f(h(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7409 + -7409. Which is the nearest to 0.1? (a) 0.3 (b) t (c) -2\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 6*z**2 + 6*z + 7. Let f be l(4). What is the third biggest value in 1, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-183)\/(-6) + -2)*1000\/(-6). Suppose 2*m = m. Let l be (c + m)*88\/2. What is l rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) - (-9)\/7. Let r = -42 + 46. Let s(m) = -r*m + 10*m + 0 - 3*m - n. What is s(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x - 6 - 18*x + 31*x.\nAnswer: 7*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, 600, 2017, 4186, 7113, 10804?\nAnswer: 15265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1865432387 to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1335382.6 + -1335380.3298878. Let h = 2.27 - s. Round h to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q**2 + 5*q**2 + (-3*q - 2*q - q)*(-2*q + q + 0*q))*(-1 - 3 + 1).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 3, a: 2, j: 1, u: 4, v: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 1, g: 4, o: 1, i: 2, l: 4}. What is prob of picking 1 i and 1 o?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8335, -8269, -8203, -8137, -8071, -8005?\n\"Answer: 66*r - 8401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**3. Let t(k) = -2*k**3 + 4*k**2 - 4*k. Let b(s) = -s**2 + s. Let l(c) = -4*b(c) - t(c). Determine 33*l(o) + 6*r(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-9\/8)*i)\/((i*i**(-23))\/i))**(-6) assuming i is positive.\nAnswer: i**(-549\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75968426089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001111000 (base 2) in base 14?\nAnswer: -b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 160597.6 centuries?\nAnswer: 16059.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3447 to 3 decimal places.\nAnswer: 0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-14)*(-258 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039886201 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-3)\/((-36)\/44). What is the closest to -0.1 in -0.2, 2.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, f: 2, s: 2, r: 1, d: 1}. Give prob of sequence sf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5.32722 times 3\nAnswer: -15.98166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14491151 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -4, 0.4, 0.5, 0.15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2 + 8*i - 15. Let u be c(2). Suppose 13*m + 1536 = u*m. Let v = m + 18. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 400455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -21. Let i = 9 + x. Let s(l) = 3*l**2 + 0*l - l - 8*l**2. What is s(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 6*s - 5. Let t be g(6). What is the remainder when 38 is divided by (50\/t)\/(0 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. Solve -2*q + 4*n = 14, 3*n = -c*q + 5*n - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15711309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -21. Suppose -7*q = -2*q, 4*q + o = 3*g. Suppose -5*t = -g*r + 2*r + 145, 50 = r - 4*t. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o + 4*f - 40, -o - 7 = 2*f. Let u be (-26)\/(-8) + o\/36. Solve 2*z - 14 = -4*c, -2*c - u*c = -10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -158848.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7798, 15661, 23524, 31387?\nAnswer: 39250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5*s**2 - 4*j**3*s**3 + 70*j**3 - 2*j**2*s**3 + 138*j**2*s wrt j?\nAnswer: 120*j**2*s**2 - 24*s**3 + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 6. Let g be j(-2). Suppose g*u = 15*u - 565. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 - 228. Which is the closest to o? (a) -13 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1.41\nAnswer: -4.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 3649404170166.\nAnswer: 3649404170170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -16*w**2 + 1\/2*w**3 - 17\/12*w**4 + 0 + 0*w. What is the first derivative of r(x) wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Put 1\/6, n, -5 in ascending order.\nAnswer: -5, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 79 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 482226109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14247160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -584589, -0.4, -0.3, 0.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8061 is divided by 573?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**2 - 2*p - 109. Let t(f) = 61*f**2 - 21*f - 766. Let q(r) = -27*h(r) + 4*t(r). Calculate q(33).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*w + 22, 18 = 4*z - 3*z + 4*w. Suppose 0 = -4*h + 2*d - 26, -z*h + 4*d + 0 - 4 = 0. Let i = h + 8. Solve 5*x - 6*x = i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b7 + -466?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.003 + -4.063. Let y = 0.6 + -0.54. Let w = y + o. What is the third smallest value in w, -2\/11, -1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1458 + -6.0442. Let k = m + 6.1900039. What is k rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.079 + 61.111. Round v to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y + 30. Let i be d(0). Let a be i\/(-4)*2\/(-3). Find the third derivative of -18*b**5 - 1 - 7*b**2 + 1 + 11*b**a wrt b.\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/14 and -88\/15?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 734*m**2 - 1470*m**2 + 737*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 2. Let b(p) = p. Let s(y) = -y - 5. Let r be s(-7). Suppose r*g = -2*g - 4. Let q = -221 + 219. Determine g*a(f) + q*b(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.8 - 8. Which is the second smallest value? (a) -4 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7708068 divided by -5748\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -810, -1447, -2338, -3483, -4882?\nAnswer: -6535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3175 + 3509. Is z a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10793*k + 10694*k + 3 to the form d*k + x and give d.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q + 52 = 0. Suppose -6*v = -2*v - q. What is the greatest common divisor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/((-112)\/(-60)))\/(6\/(-152)). Let o = x + -190. Solve 2*n = -5*r + 23, -4*r + 16 = n - o*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnny when four letters picked without replacement from {p: 1, r: 1, y: 1, n: 8, w: 2, s: 1}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4230*h - 34872 = 58188 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*n + 3*t, -7*n - 222 + 444 = t + 193 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83 + 1?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3177 or 9535\/3?\nAnswer: 9535\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/12 - h**3\/6 - 3*h**2\/2 + h. Let l = -2 - -4. Suppose -l*f = -f. Calculate r(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 296561\/330 - 2696\/3. Find the common denominator of b and -67\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from {e: 2, k: 10, t: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*s + 14*s + 8*s)*(5*s - 2 + 4 - 2*s).\nAnswer: -90*s**2 - 60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0)*(-2 + 0). Let v = -4 + 11. Suppose -v*q = -3*q + 4. Sort 4, p, q.\nAnswer: q, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wba when three letters picked without replacement from pabbwa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -38*h**2 - 962*h + 4169. Determine w(4).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1524\/(-14))\/(13\/(-91)). Let j(i) = 59*i + 43. Let f be j(8). Let c = x + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.1 (c) -1.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16192 to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:14 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -764 or -476?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -220*p**3 - p**2 - 1 + 6*p**2 + 247*p**3 - 238*p**3 to the form m*p**2 + t*p**3 + q*p + h and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppkpkpppkpppkpkp. Give prob of sequence kkp.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x - 1)*(2*x**2 + 3*x - 3*x + (-3*x**2 + x**2 + 0*x**2)*(-3 + 1 + 0))*(2*x - 3*x + 3*x).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 59 = 5*a, 10*d - 45 = -6946*a + 6941*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 3. Let h be (-1 + -4)\/(1 + 0). Let c(b) = 3*b + 4. Let v = -38 + 31. Let s(w) = h*c(w) + v*q(w). Differentiate s(i) with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16534?\nAnswer: 2, 7, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 2 - (-1 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012268433 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 10, -2 in descending order.\nAnswer: 10, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405)*1*6)\/(4*sqrt(81)*2 + sqrt(81)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (10 + -14 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 554*q = 558*q + 19, -5*p = 3*q - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, a: 1, u: 1, j: 4, k: 2}. What is prob of picking 2 k, 1 u, and 1 a?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*s + 3*s. Suppose 0 = u - 47 + s. Suppose -4*y - h + 22 = -15, 2*h = 4*y - u. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(57)\/sqrt(3))**2 + -1*sqrt(38)\/sqrt(2).\nAnswer: -95 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37814797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 7:18 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 1 - 1. Suppose 17 = 4*l - t*l + 3*v, 20 = 3*l - v. Let g(c) = -87*c**2 - 4*c - 9. Let p be g(l). What is p rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 20. What is the remainder when 39 is divided by o(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-5)\/(-30)*0. Which is the smallest value? (a) -14 (b) t (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40*-13010690\nAnswer: -520427600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 1972391*c + 3890326256881\/2.\nAnswer: (c + 1972391)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/10*(-4 - 7 - -7). Let m = 0.1 + -12.1. Let v = m + 11.7. Which is the smallest value? (a) 2 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -56. Let h = 68.999868 - q. Round h to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 289*w + 496*w + 1034*w to the form u*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 1496. Let a(i) = 81*i. Give l(a(f)).\nAnswer: -6561*f**2 + 1496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 2*o + 6. Let a be b(0). Suppose -a*i + 24027 = 2775. Suppose i = 5*d + 1207. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k. Let g(j) = -22 - 9*j - 7*j + 15*j. Determine n(g(t)).\nAnswer: 3*t + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/(u*u**(-3))*u**(1\/3)\/u**(-2\/9))**(6\/19) assuming u is positive.\nAnswer: u**(-44\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 245 - -1b581?\nAnswer: 1b7c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 c when four letters picked without replacement from {j: 1, k: 1, c: 3, s: 5}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 399349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/18 + (26\/117)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/((-13)\/((-65)\/10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.07 less than -8195.577?\nAnswer: -8213.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-16))\/((-2)\/4)*(812\/(-21))\/(-58).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 8. Let c be y(7). Let n be (-2 - c)\/((-1)\/5). Solve 0 = 4*a + 3*v + 9, -n*a - 4*v - 11 + 0 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28554, 28311, 28068, 27825, 27582, 27339?\nAnswer: 27096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - 2*(sqrt(133)*-4 + sqrt(133))) + sqrt(133))\/(sqrt(343) + 3*sqrt(343)).\nAnswer: 9*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-38))\/(((v*v**(-1\/57)*v)\/v)\/v)*(v\/(v*v*v**(-34)*v*v*v)*v)\/v*v\/(v**(-5)\/v) assuming v is positive.\nAnswer: v**(58\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 14*s - 16*s. Solve -s = -5*n + 5*b, b - 2*b + 1 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16530, 32948, 49248, 65424, 81470, 97380, 113148, 128768?\nAnswer: 144234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*r + 4*r**2 + r**2 + 61*r - 3*r**2 - 69 to s*r**2 + g*r + k and give k.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/7 - 48\/7*z + 60\/7*z**2 - 16\/7*z**3.\nAnswer: -4*(z - 2)**2*(4*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 7*w + 67, -23591*s = -23586*s - w - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n = -36*n - 5*i - 18, -18 = 3*i. Let o = -5.7 - -0.7. Which is the third biggest value? (a) -0.4 (b) o (c) n (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - (-4 - -3 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366765 divided by 17465.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 18. Calculate the remainder when 37 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735*z + 24032 + 12193 = -990*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, r: 12, p: 2, d: 1}. What is prob of picking 2 r?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25949 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 318 - 318 - 6396*g + (-3 + 1 + 0)*(g + 3*g - 2*g).\nAnswer: -6403*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -893 - -927. Solve 5*n = 3*d - a, 3*d - n = -2*d + 20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5\/5 + 789*u**4\/5 + 66231*u**3\/5 - 205821*u**2\/5 = 0?\nAnswer: -693, -99, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylvvrrvlrrlvlr. What is prob of picking 2 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 826395762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*p + 1669 = -1023 - 3173 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 353 (b) -0.2 (c) -3 (d) 2\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 649\/3696259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 6. Let z(r) = 2*r - 13. Suppose 122 = 2*c - 2*w, 0 = -0*c + 5*c + 5*w - 285. Suppose -5*f = -f - 272. Let l = c - f. Calculate l*h(o) + 4*z(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, -6 in descending order.\nAnswer: 22, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 890, 1779, 2670, 3563?\n\"Answer: g**2 + 886*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1571*h**3*w**3 + 9*h**2*w**3 + 57646*w**3 wrt h.\nAnswer: 4713*h**2*w**3 + 18*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 + 2*u**3 + 3*u**2 + u - 2. Let j be (2\/5*-2)\/(18\/90). Let q be g(j). Solve -w = 2*w - q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 25. What is the biggest value in g, 2, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j - 2 = -5*q, 2*j + 4*q = 12. Suppose j*t - t - 38 = 0. Suppose 2*u + 4*o - 96 = 0, 0 = -2*u - 2*o + 48 + t. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 73 (b) -9 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 + -838 + (39 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 11\/12*x**4 + 0 + 0*x + 2\/3*x**3 + 8*x**2. What is the units digit of p(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 524 = 4. Solve -10*x = s + 37 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252454 is divided by 402?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.012 and 5.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/12 + 19*v**3\/6 - 47*v**2\/2 + 2603*v. Determine l(18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l**2 + 21*l**2 - 10*l**2 - 26*l + (l - l + l)*(-3 + l + 3))*(2*l - 5*l + 4*l)*(10 - 12 - 10).\nAnswer: -24*l**3 + 312*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 7*z**2 + 3*z + 9. Determine a(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5434 divided by 19?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhe when three letters picked without replacement from {y: 1, h: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.97 - 19.77. Let v = -89 - -97.2. Let i = v + s. Which is the closest to 0.1? (a) i (b) 2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74206249?\nAnswer: 13, 5708173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:49 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43600571*g**2 + g**3 + 6 - 43600571*g**2.\nAnswer: g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/777 and 34\/21.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:20 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*k - 3*y, -146*k - 2 = -145*k - 4*y. Calculate the smallest common multiple of k and 3752.\nAnswer: 18760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -91\/4, -5\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v = 23*v - 108 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 30041?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8188531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-1584)\/(-64))\/11)\/((-30)\/(-4))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -6\/119 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 19\/9, 4\/3, -9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k + 4801 + 2974 = 0. What is the remainder when k is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/8 - 114\/(-24). What is the third derivative of 2*h**5 + 14*h**t + 2*h**2 - 14*h**4 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**(-19)*((k**1\/k)\/k)**42*((k*k**(-10\/7))\/k*k**(-2))**(-2\/13) assuming k is positive.\nAnswer: k**(-22328\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328936519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -53*i + 5. Let c(x) = 54*x - 8. What is 2*c(v) + 3*s(v)?\nAnswer: -51*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f + 16 = 0. Let i(n) be the first derivative of 4 + n - 3*n**2 - 9*n + f. Differentiate i(z) with respect to z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 66*w + 937. What is m(-15)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11888712 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401323500.\nAnswer: 2, 3, 5, 101, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 7, l: 2, i: 1}. What is prob of sequence xq?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4285, 4281, 4277, 4273, 4269?\n\"Answer: -4*w + 4289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -618 + 3447\/5. Is 70 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -39*m**2 - 24*m - 24. Let i(x) = 8*x**2 + 5*x + 5. What is 24*i(w) + 5*t(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1183982*q**2 - 2985839*q?\nAnswer: -2367964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzmm when four letters picked without replacement from {m: 2, z: 1, j: 3, s: 6}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c - 3*c)*(3 + 2 - 4) + 2*c + 0*c - c + c - 5*c + 6*c + (2*c - 2*c + 2*c)*(-2 + 2 - 2) + 0*c - 4*c + 2*c - 8*c - 5*c + 2*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 10*u**2 + 8*u - 5*u.\nAnswer: 6*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*v + 3. Let g(n) = n**3 + 4*n**2 + n + 6. Let c be g(v). Solve c = -p - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1664 and -0.1.\nAnswer: 166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72, -294, -666, -1188?\n\"Answer: -75*h**2 + 3*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 253, 525, 897, 1363, 1917, 2553, 3265?\nAnswer: 4047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 1, y: 1}. Give prob of sequence bb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-1 - -3)) + 31 + -31.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/7 + 2156*m**2 + 1316480*m\/7 + 28877376\/7 = 0 for m.\nAnswer: -7458, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qedqqveoqeeqedvqeh. Give prob of picking 1 e, 2 v, and 1 o.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 80*l**2. Let j(x) = -x**2 + 8*x + 5. Let u be j(8). Suppose u*o + 5 = -z, -3*z - 17 = o - 2. Let g be p(z). Round g to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.6 - -10.1. Let c = 0 + -0.1. Let q = c + -0.1. Sort 0.3, q, v in increasing order.\nAnswer: v, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 5*x + 189228 - 189194, -132 = 22*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/68)\/((-29)\/(-58))*(-8)\/12.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*r**2 - 817*r**3 + r - 383*r**3 - 91*r**2 - 969*r**3 wrt r?\nAnswer: -13014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.4 and 1318.719.\nAnswer: -38770.3386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43 and -29\/189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59.3932 + 48.393156. Let j = -12.3 + 1.3. Let u = o - j. What is u rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 9*l - 12. Suppose -3*g + 8*g = 35. Let b be i(g). Solve 0 = -5*f - b*j - 8, -1 = -f - 5*j + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -3)\/(16\/(-12)). Suppose -z = 3, 4*d + z + h*z + 8 = 0. Solve -d = x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.058 + -0.058. Which is the nearest to 0? (a) w (b) -0.3 (c) 0.05 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 20*m**2 + 17*m - 117. Let a be d(-8). Solve -3*z - a*n = -9, -n = 5*z + 2*n - 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 12:11 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -2, -5, 5 in ascending order.\nAnswer: -89, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18137976 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 20 - 3)*(-1 + 0 + 2)*(5 + 0 - 4)*(3 - 2 + 0)*(3*s**5 + 2*s**5 + s**5).\nAnswer: -102*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 10, n: 1, a: 1}. What is prob of sequence wam?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -8897.\nAnswer: 26691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**2 + 369*o + 1701. Give c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43\/111 + 2\/37. Let x be 1 - 0 - 2\/(-4). Sort 0.2, n, x.\nAnswer: n, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, -0.09, -0.08, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.102679 and -2.362613.\nAnswer: -2.259934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5438716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -534*l - 19773. Determine i(-37).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1480 - -1512. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5, -4*q + 6*b = 4*b - 10. Let x(t) = t**2 - 2 - 2*t**2 - q*t**2 + 2 + 1. Let k be ((-1)\/(-2) - 0)*2. Calculate x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46980)\/4860)\/(1\/(-3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - c + 3*x + 1 = 0, 0 = -c - x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-18) - (-4)\/18. Let l = 6 - g. Suppose l*w = 10 + 6. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*(-10)\/(-16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1123\/300 + 29\/25. What is the common denominator of -55\/13 and w?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1770 or -1688?\nAnswer: -1688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1148659*l + 147 - 31 + 187 + 1148658*l.\nAnswer: -l + 303","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -3 - d - 1\/2*d**2. Give s(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -1\/150*v**5 + 0 + 0*v**2 + 0*v**3 + v + 1\/45*v**4. Factor u(j).\nAnswer: -2*j**2*(j - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*p + 5 - 67*p + 23*p**4 + 3*p**3 - 25*p**4 as r*p + d*p**2 + s*p**3 + w + h*p**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277.03 + 277. Let o = 53\/5 + -149\/15. Sort o, 1\/5, r in descending order.\nAnswer: o, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.68401304742 take away -12?\nAnswer: 2.31598695258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 339?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {l: 2, m: 2, h: 1, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 116 = 3*g, 292266 = -5*g + b + 292510 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:40 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 265*w**4 + 12*w**2 + 14933 wrt w.\nAnswer: 1060*w**3 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (0 - -8 - 9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.6 (b) 1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176.4 - 176. Which is the second biggest value? (a) 4 (b) 0.5 (c) v (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 11*g + 7. Let m(s) = s + 2. Let p be m(10). Let b = p - 2. What is the tens digit of r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19 + 5 + 5 - -9. Solve -k = -3*x + 19, f = -3*k - x - 26 + 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/(3\/(-2))*230188\/156199?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1824 + 1825. What is the second smallest value in t, 35\/9, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 697865 = 199*h - 42*h. What are the prime factors of h?\nAnswer: 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4291000 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -333\/10, -12 in ascending order.\nAnswer: -333\/10, -12, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.876*1.398\nAnswer: -1.224648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -23*x**7\/21 - 11*x**4\/12 + 80*x. What is the third derivative of i(b) wrt b?\nAnswer: -2760*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0 + 1 - 4 + 2 + (-3 - 3 + 8)*(5 - 5 - 1) - 5 + 4 - 1)*(-7*v**3 + 19*v**3 + 6*v**3) to the form f*v + s*v**3 + q + h*v**2 and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 1\/40*h**6 - 1\/24*h**4 + 1\/24*h**3 - 1\/120*h**5 + 3\/280*h**7 + 0*h + 0 + 2*h**2. Factor k(u).\nAnswer: (u + 1)**2*(3*u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 6*p**2 + 71*p + 262. Determine u(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -29*q**3 - q**2. Suppose 6 = d + 4. Let w be (d + 0)\/2 - 2. What are the prime factors of a(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 3*g + 18. Give n(-10).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354176479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 - 111 - (-9 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1226709646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 m when four letters picked without replacement from {m: 2, e: 2, i: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2763 + 6343 = -177*r - 12173 for r.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 2*y**2 + 3*y - 3*y - 2*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*t - 2. Let d = -15 + t. Suppose 227 = d*u - 312. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 1. Let i(b) = -5*b**2 + 2*b - 6. Calculate -i(m) + 4*o(m).\nAnswer: 9*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 19 - 13. Let x be 2 + (u + 97)\/4. Let f = x - 24. Is 5 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-864)\/(-63) - 546\/39.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 470 = -g, -2*l + 1852 = -70*g + 74*g. What is the least common multiple of g and 16?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(56 + 6 + 3) - 3 + 3 - 2 + 0 - 3 + 4 + (1 - 1 + 1)*(-4 + 2 + 1))*(-13 + 6*p + p - 4*p).\nAnswer: -396*p + 1716","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5790\/13 - 138869\/312. Let n(w) be the second derivative of 0 - 10*w + 0*w**2 - 3\/40*w**5 - q*w**4 - 1\/6*w**3. Determine l, given that n(l) = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 - 1) + -71 + 60 + (44 - 2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -4087.\nAnswer: -5\/4087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((6 - 6 - -3) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (-2 - -1))*-2. Let p(k) = -k - k**3 - 7*k**2 + 3*k**n + 0*k**2. What are the prime factors of p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 1, 3, -21, 4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*m + 38 = 0, -2*m + 0*m = 4*g - 202. Let p = g - 23. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 + 0.09. Let f = 313 + -314. What is the smallest value in 1, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 1. Let w be l(-1). Let x be 0*(-2 - w)\/(-1). Suppose x + 12 = -4*j. Put j, 0, 4 in decreasing order.\nAnswer: 4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 138\/4*(5 - 3). Suppose -2*i + f - 17 = 0. Let o = i + -7. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32101 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 21, 53, 99?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11252*y**2\/7 - 393952*y\/7 - 660 = 0. Calculate y.\nAnswer: -35, -33\/2813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (2 + -4)) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-30))\/14*(-5)\/(-2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 5*w - 5*w)*(-1455 - 362*w + 1455).\nAnswer: -362*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 598.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 54*o**2 - 59*o - 282. Calculate k(53).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = 3*j - 79, -j = -4*y - 45. Suppose -31 = -30*s + j. Solve -2*v = s*d - 4 - 8, 4*d - 6 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/14)\/(a\/(a\/((a\/(a*a*a\/(a*a*a*(a\/((a**(-5\/6)*a)\/a*a))\/a*a*a)))\/a*a))))\/(a**(-1))**(-4\/11) assuming a is positive.\nAnswer: a**(-689\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l**2 - l. Suppose 0 = -t + 2*q + 6, -2*q - 2*q - 12 = 0. Let x be (t + -2)\/(1 + 1). Is g(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c + 7. Let r be a(4). Let m(d) = d + 17. Let y be m(r). Suppose 4*s + 51 = y*u - 17, u = -s + 27. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9069 + 3cd?\nAnswer: 9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12*u - 13. Suppose a - 2*v - 31 + 7 = 0, 4*a - 72 = 2*v. Let b be 8\/64 + (-98)\/a. Is 12 a factor of p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - p - 4*p + (-2 + 0 + 0)*(-2 + 2 - p) - 3 + p + 3)*(9 - 10 + 21) in the form l + b*p and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**4 + 37*d**2 + 334479*d + 170878798?\nAnswer: -8*d**3 + 74*d + 334479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2293, 1, -5, -167 in decreasing order.\nAnswer: 2293, 1, -5, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3136 and 6272?\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55254.\nAnswer: 2, 3, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1293.3 + 1293. Which is the nearest to -1? (a) 0 (b) 6 (c) 1\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/13*m + 6\/13*m**2 + 2\/13 - 2\/13*m**3.\nAnswer: -2*(m - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eae when three letters picked without replacement from eeaaeeaeaeaeeaae?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 0.64.\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Suppose y*h + 48 = h. Let o = 19 + h. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (460 - 460 - 906*g - 65*g)*(-31 + 4 + 0).\nAnswer: 26217*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-5 + 2*z + 5).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-15) + (-174108)\/59355.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2.26.\nAnswer: -4.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 6. Let l(u) = u**3 + 3*u**2 - 2*u - 1. Let o be l(-3). Let x be m(o). Is x at most 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2636887 and 824789?\nAnswer: 535288061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 454*m*v**2 - 2*m*v - 3*m + 155*v**2 - v wrt m?\nAnswer: 454*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(152)\/(sqrt(8)*3) + sqrt(19) + sqrt(19))*2)**2.\nAnswer: 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8896361359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w + 27. What is z(-7)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 2*j - 10*l - 138, -4*j - 3*l + 243 = 0. Which is bigger: j or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.5, -217, 23331.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24330 + 24326. Suppose -32 = 4*x + 4*n, 2*x - 6*x - 38 = n. Sort x, -1, u in increasing order.\nAnswer: x, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*a - 33*a + 6 + 80*a.\nAnswer: 190*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1286223*c**3 - c**2 + 1773*c wrt c?\nAnswer: -7717338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-9) - (-21)\/(1134\/(-624))) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 86602.16 weeks?\nAnswer: 52376986368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/10 + 53*j**4\/12 + 1671*j**2 - 27*j + 3. What is the derivative of y(o) wrt o?\nAnswer: -6*o**2 + 106*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*sqrt(684)*1)**2 - (-4 + (sqrt(684) - 1*sqrt(684)) + -4)) + 5.\nAnswer: 147757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 34*m**2 + 77*m + 2. Is y(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 0*x**2 + 6*x - 5\/3*x**3 + 1\/4*x**4 - 5. List the prime factors of g(6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -72, -0.3, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26374 = -3*b - 3*m - 26422, -6*b - 3*m - 48 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.92151717 - 11899?\nAnswer: -11894.07848283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74714716007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -2.5. Let j = l + 1. Let a = -2485\/3 - -827. What is the smallest value in j, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.4 (b) -4\/9 (c) 71 (d) -75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 1336282?\nAnswer: 49\/1336282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*v - 132*v + v**3 + 273*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 517*m**3 - 447*m**3 + 364*m**3 - 437*m**3 + 4*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.562852274 to five decimal places.\nAnswer: -1.56285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*n + 6. Suppose r = n*r. Solve r = -i + s - 5, 5*i = 4*i - 2*s + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - 204 = -3*l, -4*l + 247 = -3*h. Let n(t) = t + 39. Let p be n(-13). Suppose l = 5*d - p. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = q, -4*q + 6*q = -3*f - 8. Suppose s - 5*t = 5, 1 + 0 = -q*s - t. Let v = -13 + 18. Solve 6*z - z - v = s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1135, 1193, 1349, 1651, 2147?\nAnswer: 2885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 - 1532*c**3 + 1740*c**3.\nAnswer: 208*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2. Let x(y) be the first derivative of -y**3 + 170. Suppose l + 16 = -7*l. Give l*x(n) + 7*k(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27363335 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180)*-6)\/(1*(sqrt(10) + (2*sqrt(10) - sqrt(10))) - (sqrt(10) + sqrt(160)*2)) + -5.\nAnswer: -54*sqrt(2)\/7 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2087 + 10037 = 15*i. Let b = -521 + i. Solve 22 - 4 = -4*t + 2*j, -t + b = 4*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16355022 (base 8) in base 2?\nAnswer: -1110011101101000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.40000204 - -4.4. Round g to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/7, -7, 0.1 in increasing order.\nAnswer: -7, -0.4, -1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, g: 1, b: 2, m: 3, l: 3, r: 7}. What is prob of sequence gggn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5744 divided by 718?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(-1*sqrt(10)*-3))\/(sqrt(20)*1 - (sqrt(10)\/sqrt(2)*-4 + sqrt(5))).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - w - 6. Suppose 0*g + 3 = -w*g. Does g = 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 5, -1050, 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386709?\nAnswer: 13, 183593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 58*n**2 + 192*n - 275. Determine m(-54).\nAnswer: 1021","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 5:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 21*t - 54. Let h be u(18). Suppose 2*o + 7 - 13 = h. Differentiate 4*y**o - 35 + 9 + 6*y**3 wrt y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + -1)\/(-2 - -1). Let x(q) = -q**3 + u + 6*q + 0*q**3 + 5*q**2 - 7. Give x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 848 (base 10) to base 14\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 5*u - 1. Let z be b(-6). Solve 5*j + 87 - 37 = 5*f, z*j + 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-99))\/(((-14980)\/24)\/35)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/83672651?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*z - 3. Let o(q) = -q**3 - q**2. Let n be o(z). Solve f + n = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 1269*s = -1273*s - 216, 3*s + 162 = 2*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57b0 - -a3d?\nAnswer: 640d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g - 2. What is the tens digit of x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8976078 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/(((-6)\/(-3))\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 32 = -3*p. Suppose -391 = -4*u + 5. Calculate the common denominator of (u\/p - 2)*-2 and 71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4803*a**2 - 7*a. Let d(b) = -2*b**2. Calculate i(d(n)).\nAnswer: 19212*n**4 + 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -575517?\nAnswer: 575522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*x = 0, 5*o - 23 = o - 5*x. Let z(i) = 1569*i**3 - 4*i**2 + 6*i - 8. Let s be z(o). What is s rounded to the nearest one hundred?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkst when four letters picked without replacement from {k: 4, s: 1, t: 2, q: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, c: 4, t: 1, m: 7}. Give prob of picking 2 c and 2 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ba6f10 (base 16) to base 2\nAnswer: 101110100110111100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 21910620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 304744811 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f**3 + 5*f**2 + 8*f. Let g(b) = -b**3 + b**2 + 2*b. Suppose -23*m + 25*m = 8. Let h(w) = m*g(w) - s(w). What is h(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 45 (b) -67\/5 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (4*sqrt(152)*2 + sqrt(152) - sqrt(152)))\/(-4*(sqrt(8) + -1*sqrt(8)) - sqrt(8)) + -3.\nAnswer: -3 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 31 + 107*o**2 - 31 - 110*o**2. Let l(h) = 20*h. Determine l(v(f)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*o + 136 = -84*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + 5*p**2 - 5*p. Let a(w) = -w**3 + 11*w**2 + 14*w - 29. Let h be a(12). Let r(k) = 5*k**3 + 4*k**2 - 4*k. Calculate h*r(y) + 4*n(y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**3\/6 - 8*k**2 - k. Let u(s) = 2*s**2 - 3*s + 3. Let x(q) = -5*q**2 + 8*q - 8. Let z(t) = 8*u(t) + 3*x(t). Give z(j(o)).\nAnswer: o**2 - 32*o + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 + 14*f - 17. Let m(h) = h**2 + 36*h - 65. Let d be m(-38). List the prime factors of n(d).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1677*t**3 + 7*t. Let h(u) = 839*u**3 - 4*u. Give -7*h(o) - 4*j(o).\nAnswer: 835*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = -3*r, -3*r = r - o - 14. Let s = r + -3. Let c(z) = 4*z + s*z - 5*z. Give c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(294)*-2 - sqrt(6)))**2.\nAnswer: 13\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5365 times -102\nAnswer: 547230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 431\/1980 - -1\/220. What is the biggest value in -3\/4, 0.4, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -0.02 (c) -21431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 94, 152, 186, 172, 86, -96, -398?\n\"Answer: -4*j**3 + 24*j**2 + 14*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*d - 14 - 17, 0 = v + d + 3. Let x(k) = k**2 + 7*k - 6. Let z be x(v). Let i be (9 - z)*4\/(12\/3). Solve 4*t - i*t - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 414*k**3 + k**2 - k. Does 46 divide n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 1, d: 1, o: 1, f: 1}. Give prob of sequence od.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043551 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a4 (base 12) to base 6.\nAnswer: -2324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7260982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12) + 80\/15. Suppose -p + m = -6*p. Sort p, -3\/4, 4\/5 in descending order.\nAnswer: 4\/5, -3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11067*t**2 - 3 + 3 - 11438*t**2 + 7*t to the form z*t + x*t**2 + n and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -4*u - 1074. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268a (base 12) to base 6\nAnswer: -32254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 25 = -5*t, -t + 1 = 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssyyyssyssdssydsy. What is prob of picking 1 d and 2 s?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1429*d**2 + 68*d + 1428*d**2 - 46*d.\nAnswer: -d**2 + 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -37*o**7\/42 - 3*o**5\/20 - 41*o**4\/3 - o**3\/3 + 18*o + 3. What is the third derivative of p(u) wrt u?\nAnswer: -2220*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 3)*2 + -7. Let t(g) = -g**2 - 10*g - 2. Let o be t(h). Suppose 0 = o*q + 1128 - 1016128. What is q rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12*u - 339. Give m(22).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4c (base 16) to base 13\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d. Let u(o) = 6*o**2 + 10*o - 10. Let f(x) = -x**2 - x + 1. Let v(q) = 10*f(q) + u(q). What is i(v(l))?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0472 - -5.9828. Let r = j + -6. Let s = 3840.8 + -3841. What is the third smallest value in s, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 3, d: 1, w: 1, v: 11, l: 1}. What is prob of picking 1 l and 1 w?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8 (b) 1.2 (c) -1.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 109*r = 1539090 - 135927. Does 68 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.26 + 3.74. Let m = -98 + 103. Sort 0.1, m, d, -4.\nAnswer: -4, 0.1, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2066.8999997267 - -2066.9. Round l to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l**2 - 3*l + 2. Let i(x) = -x + 1. Let a(p) = 3*i(p) - s(p). Differentiate a(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192506 and 12389?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*t + 59, -5*i = -t + 9 + 6. Let g = t - -4. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -305472, 17\/10.\nAnswer: -305472, -4, 17\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 232 + 204. Sort i, -2, 2, -3 in descending order.\nAnswer: i, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d - 6019*d**3 - 37 - 2*d + 19*d**5 + 12034*d**3 - 6016*d**3 - 58 + 6*d**2 wrt d.\nAnswer: 380*d**3 - 6*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -2*y**7\/105 - y**6\/120 + 11*y**3\/6 + 10*y**2 + y. What is the derivative of t(w) wrt w?\nAnswer: -16*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 36045 = -153209. Is 56 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -199 + 213. Let d be 2\/(-6) - 106\/(-3). What is the greatest common divisor of d and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73671*j**3 + 19923*j**3 - 12425*j**3.\nAnswer: -66173*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 equal to 1090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26465 in 8, -0.15, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-802)\/26867 - (-310)\/1407\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1425600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + o = 14, -24*o - 66*o + 89*o - 51 = -10*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*2*sqrt(17) - sqrt(17)) + sqrt(17))*2.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1617, -1547, -1433, -1281, -1097?\n\"Answer: -t**3 + 28*t**2 - 7*t - 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = 4*s - 2, s = b - 7. What is the third derivative of -8*i**6 + i**6 + 9*i**2 + 0*i**b + 2*i**6 wrt i?\nAnswer: -600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4855.177 and -149.\nAnswer: -723421.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 - 3*x**2 + 6*x + 4. Let l(k) = -4*k**3 + 3*k**2 - 5*k - 3. Suppose 14*i + 519 = -349. Let d be ((-5)\/2)\/(31\/i). Determine d*m(q) + 6*l(q).\nAnswer: q**3 + 3*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 652 and 412?\nAnswer: 67156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 3 = -42. Is 3 a factor of (k\/6 + 150\/(-12))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -840*v**6 + 3*v**2 - 42107*v + 42115*v + 5*v**5 - 5*v**5 + 3*v**2 wrt v.\nAnswer: -100800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 15 = 107. Let q = v + 104. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - -9) - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.117 - 0.177. What is the closest to -10 in 0, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*s = -508*s - 954 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 + 2.2. What is the second biggest value in 0.3, c, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*i + 172*i + 42 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmmbbbmmb. Give prob of picking 2 b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - r - 4. Let o be j(3). Suppose -o*n + 0*n = 3*t - 56, 2*t - 3*n = 59. Let v(s) = 3*s + 3. What is the remainder when t is divided by v(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11806483 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 102*p**2 + 636*p + 67. Determine h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 35 + 49 = -i, 2*w - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 7*z = 15. Let t be -3 + 20 - 5 - z. Suppose 5*g = 4*g - b + 2, -4*g + b + 33 = 0. Calculate the highest common divisor of g and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3187, -6294, -9401, -12508?\n\"Answer: -3107*b - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2289, 4615, 6941, 9267?\nAnswer: 11593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 8 = -3*y, -2*u - 2*y - 2 = 0. Let h(w) = w - 1. Let o be h(2). List the prime factors of (u + 2 - o) + 10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-15*(-649)\/7139*(-22)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.011 and 0.3?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose 3*j - 11*j = -32. Solve -2*x - o*x = 0, -j*h - 4 = 4*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 25 = -2*a, -5*d + 4*a - 50 = -a. Let p be d\/20 + (-26)\/(-8). Suppose p*w - 15 = 90. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 431776*g**2. Let o(u) = 8*u**2 - 3. Determine o(w(i)).\nAnswer: 1491444113408*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 + 4*f + 8*f - 4042 + 2*f**3 - f**3 + 4038 - 5*f**2 to u*f + b + x*f**3 + j*f**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 2, -104, 1, -5 in decreasing order.\nAnswer: 2, 1, -5, -104, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/12 + 640\/192?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + -0.06. Let h = 0.1 - k. Let x = h - -1.88. Is x < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/81*-15*(1352\/120 - 11)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, q: 4, k: 2, f: 1}. What is prob of sequence ppk?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.4711 + -0.1611. Let f = 0.31 - y. Let i = -15.9 - f. Which is the nearest to i? (a) 1 (b) -0.05 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133460073219336+-3\nAnswer: -133460073219339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -3, 8, -17.\nAnswer: -17, -3, 2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 9897860?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2650 is divided by 91.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169515 divided by 3.\nAnswer: 56505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22112010 (base 3) to base 4\nAnswer: 1201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + f + 62, -21*x = -26*x - 2*f + 56. Solve -9*m + x = -13*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 120 = -3*b, -3*b - 108 = -b - 5*r. Let h = b + 29. Let a = h + 43. Calculate the greatest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 5*v - 5*v)*(-4 + 3 + 2) + (-v + 4*v - 5*v)*(3 + 5 + 2) in the form x + n*v and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3500)\/(-40))\/35*(-56)\/10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368387, -2948483, -9951601, -23589251, -46072943, -79614187?\nAnswer: -126424493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (41\/287 - (-2)\/14)\/((-12)\/(-28))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8682 and 31841?\nAnswer: 27644.3562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 - 3*x + 5. Let z(d) = 7*d**2 - 4*d + 6. Give -4*t(o) + 3*z(o).\nAnswer: -3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, g: 3, n: 2}. Give prob of picking 2 n and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.938722 rounded to one decimal place?\nAnswer: 84.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4093*b**3*t**4 - 147*b**3 + 2*b*t**2 - 10*b*t - 4*t**5 wrt t?\nAnswer: -98232*b**3*t - 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26742 times 1\nAnswer: 26742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3132, 6266, 9370, 12426, 15416?\nAnswer: 18322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -21*b - 164. Let z be o(-8). Suppose 4*u - j - j = 20, 0 = -5*u + 2*j + 25. Let t be (u + -2)\/(6\/z). Sort t, 3, 0.\nAnswer: 0, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 16839157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/((-3)\/45). Suppose b = g - y, 5*g = -y - 0*y + 66. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23\/88 - -1\/88. Let r(h) = 2*h + 17. Let p be r(-7). Let z = 2.24 - 0.24. Which is the closest to p? (a) z (b) j (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*c - 110*c + 276*c - 91*c + 8.\nAnswer: -42*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 91 = -280. Suppose 3*v = 5*c + i - 1, 5*v - 108 = 3*c. Calculate the least common multiple of 21 and v.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34544302 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 + 10742*g\/15 - 201932\/5.\nAnswer: -2*(g - 5314)*(g - 57)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**24*v**(-1\/26) assuming v is positive.\nAnswer: v**(623\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((9 + 10 - 8)*(2 - n - 2) - 2 + 2 - 2*n)*(3*n + 0*n - 4*n) to v*n + w + f*n**2 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 16*u + 20, 0 = -h - 2*u - 14. Which is the third biggest value? (a) 1.9 (b) -1 (c) h (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 31.5. Let i be -1 - 8\/(-2 - 0). Sort i, 1, y.\nAnswer: y, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18109635541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 2. Let i be d(13). Let b = 5 + i. Calculate the remainder when 47 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from wmmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4 + (-6 + 3 + 2)*(-2 + 0 + 0) + 1 + 0 + 0 + 8 - 5 - 63)*(1 - 1 - 2*m)*(-3 - 2*m + 3).\nAnswer: -232*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15374, 15380, 15390, 15404, 15422, 15444, 15470?\nAnswer: 15500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833511 divided by 1.\nAnswer: 833511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186 + 193)*(-20)\/(-154)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3\/8, -23, -545, -0.08, -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/9 + 2112\/27. Suppose -4*u + 0 = 3*j - 2, u - j - 4 = 0. Suppose -69 = -6*x + u*x + 5*c, 3*x - s = -5*c. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -101) + -25 - 55?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/2*2\/(-4). Let x = 15 + -5. Suppose 4*s - x = 2*s. Solve s*t + 2*z = -6 + 1, -i = t + 5*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 7*h**2 + h - 3. Let j be z(7). Suppose 90 + 34 = j*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006853944 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - (-18 + -10)) + 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1522.\nAnswer: -4566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + 4*r)*(-9 + 11 + 5 + (-2 + 2 - 2)*(1 + 2 - 1)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 11*p**2 - 5*p - 5. Suppose 22 = 4*n - 10. Suppose -10*j + 20 = -n*j. Does 9 divide g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 102.2, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1313 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 324532333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6819 + -105189. Round j to the nearest one thousand.\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f - 116. Let g be u(14). Let s be (g\/(350\/21))\/(27\/30). Let i be 0 - (1 + (-6)\/7). What is the closest to s in 0.3, 0.1, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 - j**2 + (j + 4 - 4)*(-4*j - j + 3*j))*(-13*j - 7*j + 0*j).\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-5 - -1) + 6). Solve p = 4*s - 5*s - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*p - 15 = 0, 0 = -4*v + p - 0*p + 5. Suppose 0 = x - 4*z - 9, 3*x - z + 2 - 18 = v. Let m(u) = u + 4. What is m(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*q + 3*q. Suppose 5*r + 30 = -4*g + q*g, 2*r + 20 = 2*g. Let x = -38 + 41. Solve 4 = -l - f, 0*l = x*l - g*f + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 2*r - 14*r + 4*r. Let d(z) = z. Determine 6*c(g) + 51*d(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343991021 is divided by 3675.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 15. Let u(k) = k - 26. Let g(q) = 5*m(q) + 3*u(q). Determine g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/(-6) - (-7)\/42. Let d = f - -3. Let j be (d - -2)*(-3 - -3). Is 1\/2 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 11 + 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.07, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11365)\/143199)\/(2\/(-63))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19667 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/8 - 276\/(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) + sqrt(99)*-1) - sqrt(99)) + sqrt(99))\/sqrt(11) - sqrt(9))\/(sqrt(6)\/sqrt(2)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 159429 + -159431. Let t(p) = p**3 - 6*p - 5. Let b(m) = 3*m + 1 + 2*m - m**3 - 4*m. Let k(x) = 2*b(x) + t(x). Give k(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/1121 and -39\/1379195.\nAnswer: 1546077595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, and 1 m when three letters picked without replacement from mcbbgbbmb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 58058\/(-429)*180\/174\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*k*x - 3*f**3*k - 117*f**3*x + f**2*k*x - 25*f**2*k - 2*f**2 + 3*f*k*x + 17*f*x wrt f?\nAnswer: -12*k*x - 18*k - 702*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1124*y + 81153 - 69913 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -2.73159.\nAnswer: -0.546318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*-4 - (13 + -16). Suppose 5*t - i*w + 9*w = 3726, 2*w = -2. List the prime factors of t.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.5. Let i be 22\/(-4) - (-1)\/2. Let z = 3.3 - 0.3. Which is the third biggest value? (a) y (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -632376*j**6 + 695*j**2 + 2136?\nAnswer: -75885120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, 27, -7, 2, 3.\nAnswer: -7, -3, -2, 2, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**3 - 36*p**2 - 3*p - 20. Let d be r(-15). Round d to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 7 - 20 = 12*a - 2*v, -5*v = -15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2 + 28. Solve -3*x - 3*x = a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -27 + (-24 - -29).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14036 is divided by 825?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3, 4*n + n + 5*h - 650 = 0. Suppose -6*p + 341 = n. Suppose -k + 4*u + p = 0, -3*k = -k - 3*u - 85. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, b: 2, a: 5}. What is prob of picking 1 a and 1 b?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.1251 litres in millilitres?\nAnswer: 263125.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 4572.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a091 + 4?\nAnswer: 1a095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604496873 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -3 (c) -3\/7 (d) 7 (e) -5 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 10 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 5) to base 13.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14130102211 - -2?\nAnswer: -14130102204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.45 - -0.05. Let r(x) = 2*x - 16. Let u be r(8). What is the third biggest value in u, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 a, and 1 c when four letters picked without replacement from accaacaaaocoaaoaaa?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 7:16 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 0 + 3)*(1 - 3 + 1) + 2 - 2 + 9)*(120*k**2 - 120*k**2 + 9*k**4) in the form x*k + s*k**4 + y + p*k**2 + r*k**3 and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(43 + 0 + 0). Let f(y) = -12*y - 72. Let p be f(-6). Calculate the common denominator of -67\/16 and p\/(-3) - h\/(-14).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(77))\/sqrt(11).\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 12 + 11 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*l + 83*l = 40. Suppose 8*d = 4*d + l, -3*d - 39 = -2*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 52*w + 890. Calculate the remainder when 612 is divided by z(-13).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 1. Let d(i) = 14*i + 17. Calculate -d(v) + 6*k(v).\nAnswer: -8*v - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/17, 13, 1.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-10) - (-20 + 26)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (57\/(-408))\/((-1826)\/41176). Let g = v - 3\/913. Find the common denominator of g and 47\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 48713.\nAnswer: -5, 4, 48713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.891, 0, 6\/11, 5\/6, 11?\nAnswer: 0.891","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*o**4 + 3320*o**2 - 812*o + 103?\nAnswer: -120*o**2 + 6640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428400 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 11:53 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2)\/(-6) + 592\/24. Let l be t\/(-60) - (-2)\/2. Let r = -0.2 + -0.8. What is the closest to -1 in 0, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492552 divided by -2?\nAnswer: -246276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + l + 3. Let k(f) = -11*f**2 - 9*f - 24. Calculate -2*h(c) - k(c).\nAnswer: 5*c**2 + 7*c + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 662 = 290. Let g = -78 - o. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 373744 and 79520?\nAnswer: 3737440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201649*h**2 - 1218*h + 24?\nAnswer: 403298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -33, -32, -31?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 20 + 30. Let q(r) = r**2 - 14*r - 32. Let d be q(16). Suppose d = -21*n + 28*n - 21. Solve -n*w - y = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 210925.452345 and -1.\nAnswer: 210924.452345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjttjjjjdtjjtjttjj. Give prob of sequence jd.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063538 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l - 1\/2*l**4 + l**2 - 9 + 0*l**3. Give i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 138\/115*((-2)\/(-3) + 0). Which is the closest to -3? (a) 4 (b) -0.4 (c) h (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1466 (base 9) in base 14?\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 8048508?\nAnswer: 1\/2012127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllaala. What is prob of picking 1 l and 3 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*g + 1999, 186 = 6*p + 5*g - 5853. List the prime factors of p.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59515 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/29 in 3909, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/4 - 543*z**3\/4 + 36973*z**2\/4 + 77727*z\/4 - 28539 = 0. Calculate z.\nAnswer: -604, -3, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*(2 + sqrt(153) + 0 - (sqrt(153) + sqrt(153) + -1 + sqrt(153) + sqrt(153))*-2)*1*-6)**2)*4.\nAnswer: 28553460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/32 and -35\/7942.\nAnswer: 127072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73614907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -14 - 147*s + 14 + 74*s + 72*s. Let l(y) = 45*y**2 + 2. Determine l(f(i)).\nAnswer: 45*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 + 309140*y + 90609936 = 0.\nAnswer: -292, 77577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 4, 3, -6 in descending order.\nAnswer: 7, 4, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 163, -4, -5, -14\/13?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.0346, -21, 6, 1 in ascending order.\nAnswer: -21, -2\/11, 0.0346, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 4*r**2 + r - 4. Let f(o) = o**3 - 6*o**2 + 9*o - 6. Calculate the remainder when f(6) is divided by y(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8248084 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 230?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 19717744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/483)\/(3654\/294 + -13).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h + 32 = 0. Let f = 1\/203240 - -162591\/203240. Is f greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - v - 49 = 12*j, 2*j = 3*v + 59. Solve -14 = 2*b - 4*k, -2*b = -k + 6*k - j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*o - 1)*(3 - 1 + 1).\nAnswer: -18*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 509331349 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154372 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13260647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttktttttttkkkktttt?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 17 = -d - 0*c, -4*d = -c - 13. Let o be -9*(1 + -1*2). Solve 0 = -k - d*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (-28)\/8)*24\/2. Let i(p) be the third derivative of p**6\/120 + p**5\/15 - 5*p**3\/6 - 12*p**2. Is i(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 220047, 220042, 220037, 220032, 220027, 220022?\n\"Answer: -5*c + 220052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 4*p = -2*c - 92, -72*c = 7*c + 4*p + 3634 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/12)\/((-2010)\/(-5427))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-4425)\/(-150))\/((-39)\/4))\/(-6) and -19\/27.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(5*sqrt(45)))**2.\nAnswer: 19\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 2*w. Let v be d(-2). Let x(u) = 6*u - v*u - u - 3*u. Let y(a) = 2*a**2. Calculate x(y(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3 - 21 = 0. Let r be ((-10)\/p)\/((-5)\/(45\/6)). Suppose 1 = o + 2. What is the nearest to 1 in r, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1 + d + 1 - 3*d + 5*d**3. Let y(b) = 36*b**3 - 15*b + 15. Let v be 2*((-12)\/(-8)*2 - -3). Suppose -4*c - 4 + v = 0. Determine c*y(i) - 15*t(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 14. Let z(g) = -3*g - 10. Let o(a) = 5*y(a) + 7*z(a). Let q(j) = -59*j**2 + 2*j. What is o(q(w))?\nAnswer: 59*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t + 46*t + t**3 + 2*t**3.\nAnswer: 3*t**3 + 64*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + -5485764?\nAnswer: -5485787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*r = 125*r + 644. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1341.25 and -0.8.\nAnswer: -1342.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/2 + 660*d**2 - 1317*d\/2 = 0. Calculate d.\nAnswer: 0, 1, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -26*k + 907. Let b be y(34). Solve 0 = b*v - 41 + 64 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1872*i**2 + 5603*i - 1. Give g(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 101. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*d*p**4 + 2*d*p**3 + 11*d*p**2 + 13*d*p + 9*d + 395*p**5 wrt p?\nAnswer: 192*d*p + 12*d + 23700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.994347ng to kilograms.\nAnswer: 0.000000000000994347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/((-6)\/(-8)). Let g be ((-3)\/6)\/(r\/(-4)). Suppose 0 = -2*q + 1 + 1, 2*l + 3*q = 13. Put 4, l, g in decreasing order.\nAnswer: l, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0267, -3, -7, -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084596.\nAnswer: 2, 3, 19, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5433 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52409\/2 + -26203. Which is the closest to -1? (a) -69\/7 (b) f (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*k = 0, k + 10 = -3*g - k. Let p = -0.02 - -44.02. Let d = p + -43.98. What is the biggest value in g, -3, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -15. Suppose 4*o - 74 = 2*o. Let p = o - 23. Calculate the lowest common multiple of p and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -11. Find the common denominator of -47\/10 and -31 - (m + 3) - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14624111354 + -8.031\nAnswer: 14624111345.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -14340c?\nAnswer: 14341d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -42. Suppose 7*a + f = 384. What is the remainder when a is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -c50?\nAnswer: c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 207. Suppose -4*q + q = 4*r - l, 5*q = 2*r + 89. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -18. Let s = d + 20. Let r = -18 + s. What is the third biggest value in -0.4, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -729 + 724. Sort 22, c, 3 in ascending order.\nAnswer: c, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11313 and 10056?\nAnswer: 90504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-425)\/10)\/(-17))\/((-5)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441004 + 12111?\nAnswer: 1003120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:13 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7054 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + x + 0*x + 177*x**2 as l + d*x + n*x**2 and give n.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 4, -23, -2\/13463, 0.4?\nAnswer: -2\/13463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 17*j + 69. Let n be g(-4). Let k be (-12)\/(-42) - (-24)\/14. Sort -8, k, n, 3 in ascending order.\nAnswer: -8, n, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v - 6 - 7*v + 3*v + 0*v. Suppose 2*w - 86 = d - 83, 3*w - 22 = -2*d. Calculate c(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98.782 and 372?\nAnswer: -36746.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q + 605 - 125 = 0. What is the remainder when 1439 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**2 + 2*o - 7. Let x be d(3). What is the closest to -0.2 in -2\/3, x, 3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/7 (c) 1.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 5919963.\nAnswer: 5919963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 5. Let g(u) = -u**3 - 4*u**2 + 6*u. Let w be g(-5). Let m be s(w). What is the closest to m in -1\/6, -5, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194439 is divided by 2893.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -47. Put -1, 1\/5, x, 0.9 in decreasing order.\nAnswer: x, 0.9, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 15*t - 5. Let r be x(8). Suppose 4*w = -r*f + 125, w + 3*f = 2*f + 31. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 288*u**2 + 4*u - 186. Let m be o(48). Let q(c) = -2*c**3 + 7*c**2 + 9*c - 6. Give q(m).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 5.7. Let y = -9.3 + u. Which is the nearest to y? (a) 2\/11 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = 8*q - 36 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j. Let l(h) = 60*h**2 - 133*h**2 + 57*h**2. Calculate l(o(m)).\nAnswer: -1024*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -269.\nAnswer: 9\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*x + 42. Suppose -70*p + 205 = -68*p - 5*l, 5*l = -p + 110. Calculate the highest common divisor of x and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*a - 4 = -142*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a**2 + 55*a - 17. What is the remainder when 400 is divided by i(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 55 + (38 - 2) - 65.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 85*q**2 - 175*q + 92. What is a(87)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1517718, 2\/5?\nAnswer: 1517718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/12*20)\/(((-46)\/(-3))\/(-23)). Suppose q = 5*q - 40. Let n be 1\/(-5)*q\/4. Which is the closest to n? (a) -1\/4 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 + -9) - (55 - 68).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 12263116?\nAnswer: -12263123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 5. Suppose 3*l + 2 = -4*h, 6 = h - 3*l - 1. Sort h, -2, a in decreasing order.\nAnswer: h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -14 + -18 + 13 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*r)*(-1 - 3 + 5) - 9*r - 67051 + 63686 + 8*r as a*r + o and give o.\nAnswer: -3365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s + 160 = 0. Suppose 4*l + 8 = 2*l. Let z be ((-5)\/l)\/(1\/4). What is the highest common divisor of s and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) -1\/2 (b) 4 (c) 0.8 (d) -4 (e) -5\/2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8689168 to four dps.\nAnswer: -0.8689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*sqrt(1700)*-1.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -9*a**4\/2 - 5*a**3\/2 + 9*a**2\/2 + 5*a\/2 = 0.\nAnswer: -1, -5\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650068497.\nAnswer: 7, 11, 79, 487, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r**2. Suppose 10 - 10 = 5*m. Suppose -60 = -5*v - m*v. Let j(p) = 17*p + 18*p - 46*p + v*p. Calculate w(j(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-1)\/(-8))\/(8\/24)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-6))\/((-16)\/36). Suppose u*w = -0*w + 27300. What is w rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*n + 99 = -309 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 92*s + 1521. Give v(-21).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -294 + 294.028. Let i = l - -0.208. Round i to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 137443, 274879, 412317, 549757, 687199, 824643, 962089?\n\"Answer: k**2 + 137433*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u + 233. What is the least common multiple of 9 and x(-5)?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -64, -99, -136, -175, -216?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3195 and 426.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 1\/3*o**4 - 13\/60*o**5 + 0 + 0*o + 0*o**3 + 16*o**2. Find the second derivative of v(f) wrt f.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyvy when four letters picked without replacement from {y: 3, p: 1, v: 5}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99636)\/(-36708) + (-732)\/(-14).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 129\/9)*((-539)\/(-22) + -26).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076966 take away 2018?\nAnswer: -1078984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 99 = 8*v - 4*w - 111, -93*v + 2*w = 182 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + m = -0*m + 59, -3*m = -4*f + 57. What is the smallest common multiple of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)**(-2\/9))**(-14) assuming o is positive.\nAnswer: o**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 0 - 0 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stogosuu. Give prob of sequence os.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f - 36*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27539.098 + -42.098. Let h = -27496.60006 + u. Let s = -0.4 + h. Round s to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -15 - (-6 + 1 - (-5 + 26))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 91*k + 1908. What is the lowest common multiple of 111 and r(60)?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 9*g - 6. Suppose g*t = 562 + 158. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -990 - -1029. Are s and 63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r - 2*r)*(4*r + 9*r + 11*r) as m*r**2 + k + x*r and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y + 4 - 5 - 2*y + 5*y. Let o(h) = 21*h - 3. Let g be o(2). Suppose g = -5*s + 3*c, 2*s + 2*s = -3*c - 15. What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.7*19.1.\nAnswer: -949.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**27*c)\/c**(-35))\/(c**(-9\/2)\/(c*c\/c**(-5)*c*c)))**(-5\/6) assuming c is positive.\nAnswer: c**(-255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2914356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -92, 1\/12 in decreasing order.\nAnswer: 3, 1\/12, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:56 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 31. Which is the nearest to l? (a) 2 (b) 0.1 (c) 0.11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13464\/(-144)*(-4)\/22. Solve 2*o - 2*t = 2, 0 = -y*o + 19*o - 4*t - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2534, -5067, -7600, -10133, -12666?\n\"Answer: -2533*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 776 - 774. Solve -4*j = -h*m + m + 18, -2*m = 5*j + 29 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let x(w) = -52*w + 270. Let u be x(5). Give s(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + f. Suppose -31 = -3*p + 2*j, 5*j = 4*p - 9*p + 10. Suppose 5 + p = 2*x. What is the least common multiple of m(-2) and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 201354148, 201354146, 201354142, 201354136?\n\"Answer: -n**2 + n + 201354148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.4 + 9.11. Let w = -0.71 + p. What is the second smallest value in 2\/9, w, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377055691781 + 377055691781 - c**2 + 3*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t**2. Let b(j) = -1077*j**2. What is b(l(n))?\nAnswer: -107700*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 6417*q**2 + 3453840*q + 23863476 = 0. What is q?\nAnswer: -1066, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 6. Let t be 3\/(-15)*2\/(-2). Let q be (-2)\/3 - 4\/(-336)*44. What is the biggest value in t, h, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2 - 12*i - 1\/4*i**3 + 16 = 0. Calculate i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33397976, 33397983, 33397990, 33397997, 33398004?\nAnswer: 33398011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 23. Let r(q) = q**3 + 8*q**2 - 8*q - 1. Let z be r(-9). Let b be m(z). Factor 0*g**b + 5*g**3 + 30*g**2 + 18*g**2 + 6 - 26*g**3 - 33*g.\nAnswer: -3*(g - 1)**2*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10028*t + 9940*t = -3960 for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8539, 17078, 25617, 34156, 42695?\n\"Answer: 8539*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5553 + -2?\nAnswer: 5551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 14. Is -1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -116. What is the closest to 2 in -1\/6, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5119448 is divided by 234.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 3203232?\nAnswer: -3203223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.221 - 0.244. Let l = k - -0.4650401. Round l to 6 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-18))\/(42\/4). Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 99. Let h = 111 - t. What is the least common multiple of h and 57?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 10*o + 4*o = 17*o - 15, -4*n + 3*o - 12 = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -73, -0.4, 8104\/7, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*g - 2619 = 0, 20*a - 16*a - 5*g - 2103 = 0. List the prime factors of 5 + (a - 7) + -3 + 1.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/36897 - -8670757\/701043. Which is smaller: 13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 - 10 - 9*l**2 + 10.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 10 - -12) + -8. Factor 4\/3*p**m + 0 - 1\/3*p**4 - 4\/3*p + 1\/3*p**3.\nAnswer: -p*(p - 2)*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0169130655 rounded to five dps?\nAnswer: 0.01691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1)\/(3\/(-15)). Let n be ((-108)\/90)\/(2\/d). Solve n*t + 2*t - 20 = -5*b, -4*t + 14 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 224 + 220?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 199*s**6\/6 - 130*s**3\/3 - 68. What is the third derivative of h(w) wrt w?\nAnswer: 11940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4269916 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10.1. Let s = -3963 - -3966. What is the third smallest value in 1\/7, y, s, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 197 + 59*n - 123*n + 65*n to the form c + j*n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 25 = 3*g + f, -70 = 15*g - 5*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -1. Let x be (-1)\/(-6) + (-17)\/h. Put -20, 5, x in increasing order.\nAnswer: -20, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -845?\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 8. Let g(r) = r - 1. Let i be g(0). Let p(a) = 1. Let k(q) = -q**2 + 4*q + 3. Let l(v) = i*k(v) - 5*p(v). Determine l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000001 - 1000100010?\nAnswer: -1110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 4, a: 3, l: 6}. What is prob of sequence mmal?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191736*b + 193925*b - 48158 = 0 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -35*q**2 - 1550*q. What is the ten thousands digit of m(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 10, l: 1, o: 1, t: 3}. Give prob of picking 1 o and 1 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92349403037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888731107.\nAnswer: 2657, 710851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + ((2*(sqrt(500) + -1) - (0 + -1*sqrt(500))) + -2)**2).\nAnswer: -13545 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*p**3 + 96*p - 196*p**3 + 401*p**3 - 96*p.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 80 = 4*r. Let i(g) = -2*g**2 - 24*g + 11. Let j(h) = -6*h**2 - 71*h + 34. Let k(m) = -7*i(m) + 2*j(m). Is k(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v**2 + v - 1. Suppose 4 = 2*o + 5*b, 4*o = 3*b + 4 + 4. What is f(o)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 150 = -2*u, -74*s = 2*u - 77*s - 153. Suppose f = -36 + u. What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91230255827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42266 - -61441. What are the prime factors of w?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42689005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112 + 12?\nAnswer: 11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 8 = 3*o, 99*o = 4*m + 95*o + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/360 - a**5\/15 - 2*a**4\/3 + 3*a**3 + 20*a. Let l(z) be the second derivative of j(z). Factor l(x).\nAnswer: -(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35656488.\nAnswer: 2, 3, 7, 263, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2904810070 - -50293881570037\/17314. Let w = -2\/787 - t. What is the common denominator of ((-69)\/(-6)*2)\/(-8) and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346900399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24301275.\nAnswer: 3, 5, 29, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 4*x - 5*x)*(0*x**2 - 9*x**2 + 0*x**2)*(-649*x**2 + 2212*x**2 - 1028*x**2).\nAnswer: 4815*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/915 and 137\/2196.\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 + -8887?\nAnswer: -10071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 2)*1 - (-1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*l*s - 54*j**3*s*w**3 + j**2*l + 4*j*l*s*w**3 + 3*l*s - 2*s*w**2 wrt j?\nAnswer: 6*l*s - 324*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(11)*-2)**2*2 + (-2 + sqrt(99))*-4.\nAnswer: -12*sqrt(11) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7 = -3*s - b, b - 48 = -4*s. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + (-3)\/(-2). Let t be w\/((-21)\/(-9) + -2). Suppose k + 10 = t*l, -l - 22 = -2*l + 5*k. Solve -10 = -l*r - 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 6*k + 3. Let s be o(6). Suppose -s*f + 8*f = 65. What is the greatest common factor of 52 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9437671 and 1823?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -445 - -526. Solve 79*j - o*j = 12 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.66 rounded to the nearest integer?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 = 23*t + 98*t - 71 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**3 + 19*h**3 + 5*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 5\/11 (b) 2\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*h - 20 = 0, 3*t + 2*t = 3*h - 66. Is ((-4677)\/12)\/(3\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 4*n - 7317 + 7327, 5*y - 2*n = 85 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 93, 275, 619, 1179, 2009, 3163?\n\"Answer: 9*l**3 + 11*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 d, and 1 l when four letters picked without replacement from gggggglxdxggxxddgx.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40 + -7)\/(6\/4). Suppose -2*w + 2 = 0, -5*w + 6 = 2*t - w. List the prime factors of (-3 + 3)*t + a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = 5*o, -2*l + 2*o + 35 - 3 = 0. Solve -4*b + 2 = -f + 24, 2*f - 2*b = l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 - 13308*b**3 + 722972*b**2 - 10250820*b + 9541152 = 0. Calculate b.\nAnswer: 1, 27, 3272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 15. Let v be (-9)\/6*(0 + y). Solve v = 5*h - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167630 divided by -8?\nAnswer: 83815\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82a711 (base 12) to base 4.\nAnswer: 13310211331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.318742 years in millennia?\nAnswer: 0.000318742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 637, 1326, 2269, 3454, 4869, 6502?\nAnswer: 8341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p. Let u(q) = 91*q**2. What is u(w(h))?\nAnswer: 364*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176.1 + 0.041.\nAnswer: -176.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aggzallagll. What is prob of picking 1 g, 2 a, and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**7\/1680 + z**6\/320 + z**5\/160 + z**4\/192 + 62*z**2 + 2*z. Let o(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3552107?\nAnswer: 13, 19, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 + 305*i + 16*i**2 - 23*i**2 + 3*i**3.\nAnswer: -2*i**3 - 7*i**2 + 305*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10845*n + 1077986 = 3977*n - 2976*n for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64433 = 13709*v + 3347*v + 987876 + 304589 for v.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/19)*r\/(r*r**0)*r assuming r is positive.\nAnswer: r**(17\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-6137275.\nAnswer: -1227455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -13*i**2 + 5*i + 8. Let d be v(-3). Let r be 2 + 43*(7 + -2). Let n = d + r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/42408 and 115\/36.\nAnswer: 42408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w - 18. What is the units digit of o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*n - 33 - 88*n + 176*n - 5.\nAnswer: -n - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:10 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 148670, 4, -19\/2, 0.1?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 4*f. Let l be k(3). Let z be l\/(-12) - 7\/4. Let x be -3 - z - (-10)\/4. Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -61*f - 1. Let y(a) be the third derivative of a**5\/30 + 7*a**4\/24 + a**3\/6 + 25*a**2. Calculate the remainder when b(-2) is divided by y(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b + 52*b + 12*b**3 - 49*b**3 wrt b?\nAnswer: -222*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357326333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.13 - 0.13. Let v = 23 + -19. Which is the fourth biggest value? (a) -4 (b) -0.06 (c) v (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647043.\nAnswer: 3, 215681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52587167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 + 748*i\/7 - 69938\/7.\nAnswer: -2*(i - 187)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 3*m + 47. What is w(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 16. Suppose 3*i - 3 = 4*k + 4*i, -4*i - c = 4*k. Suppose k = -s + 2 + 1. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 10 - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22975559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = v, 5 = -4*q + v + 8. Solve -4*w + 2*w = q, 12 = -3*x - 5*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -5 (b) -10 (c) -69 (d) -0.02 (e) 1\/6 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*k + 100*k**3 - 218*k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((-20)\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (487*s - 528 + 528)*(-25 - 2 + 12) as n*s + v and give n.\nAnswer: -7305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49118 is divided by 16368.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -139, -310, -497, -694, -895, -1094?\n\"Answer: y**3 - 14*y**2 - 136*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34575680?\nAnswer: 2, 5, 167, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = -5*t. Let o be t\/(8\/7 + (2 - 3)). Sort o, -4, -3, 0 in descending order.\nAnswer: 0, -3, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlhlwzymw. Give prob of sequence ll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-155)\/(-49))\/((96\/56)\/(-12)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250251 and 264.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -692.9998285 - -693. What is j rounded to six decimal places?\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -148, -332, -590?\n\"Answer: -37*g**2 + g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1473*a**5 + 8839*a**4 - 13263*a**3 + 5901*a**2 - 4*a = 0 for a.\nAnswer: 0, 1\/1473, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2982)\/2485*(-210)\/(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134 is divided by 280.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erhh when four letters picked without replacement from jihthhreiriiirtht.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 18*c + 1.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -36 + 10 - 13*a + 10 - 13*a**2 + 2 - a**3. Let t be v(-12). Sort -1, 2, t, -5 in descending order.\nAnswer: 2, -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701769.\nAnswer: 3, 233923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46.64 and -0.0298.\nAnswer: -1.389872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 5*t + 1. Let c(j) = -j**2 + j + 1. Let o(a) = 3*c(a) + k(a). What is the units digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224203471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 5:56 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 6*i - f - 9, 0 = -i + f. Suppose 0 = 2*b - 5*r - 7, 7*b - i*b - 5*r = -1. Let l(p) = -p**2 - 7*p - 5. Calculate l(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28823, -60, -1 in descending order.\nAnswer: 28823, -1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2 + 3. Let p be (-4)\/6 + 20\/(-15). Let v(x) = 5*x**2 - 2. Let w(t) = p*n(t) - 3*v(t). Let b(l) = -3*l**2. Give b(w(q)).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -26. Let i = -232 + 253. Sort 0, i, u in ascending order.\nAnswer: 0, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b08 (base 13) to base 14.\nAnswer: -975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4*-2)\/(12\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15737.213 to zero dps.\nAnswer: 15737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/6*(-6)\/5. Suppose -r*u + 5*v = -0*v - 134, -4*u - 5*v + 202 = 0. Suppose 342 = 30*z - 11*z. Calculate the remainder when u is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -11\/3*q**7 + 49 + 0*q**4 + 0*q**5 - 1\/3*q**3 - q + 0*q**6 - 2*q**2. Find the second derivative of d(f) wrt f.\nAnswer: -3080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22516 = 14*w - 17118. Calculate the greatest common factor of w and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13409*q - 80694. Calculate v(6).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1355 or -1351?\nAnswer: -1355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-16) - 1782\/20. Let j = o - -90. Factor -j*k**4 + 0 + 6\/5*k**2 - 4\/5*k + 0*k**3.\nAnswer: -2*k*(k - 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 8:48 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 4048110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -81. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/9 - -1)*6. What are the prime factors of 12 - -2 - 8\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 206 = 4*g - 185, -d + 4*g = -17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 345 and 161.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + j - 47 - 54 + 154.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + (1 - (-1 + -1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.89 + 17. Let w be (-20)\/119 - (28\/119)\/2. Sort d, 0.3, w in decreasing order.\nAnswer: 0.3, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*q**3 - 90*q**3 + 5*q + 48*q**3 + (4*q**2 - q**2 - 2*q**2)*(0 + 2 - 7)*(12 - 12 - 2*q) in the form x*q**3 + h*q**2 + d + o*q and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*k + 56, 0*t + t = -5*k + 36. Let z be ((-2)\/3)\/(t\/(-24)). Let y = 4.44 - 0.44. Which is the second biggest value? (a) y (b) 4\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1177 (base 11) to base 14\nAnswer: 7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 = -6. Let t(x) be the third derivative of 7*x**5\/60 - x**4\/24 + x**3\/6 + x**2. Is t(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5.1. Let k = 6 - 32. Let w be -4*(1 + 27\/k). What is the third smallest value in f, -1\/5, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 2435 in decreasing order.\nAnswer: 2435, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11104412 + -10?\nAnswer: -11104422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 - c**2 - c - 1. Let v = 4 - 5. Let m be o(v). Let y be 3\/24 - (-92)\/32. Solve q + 0*q + 6 = -m*n, -y*q - 7 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**3 - 11*i**2 + 30*i - 12. Is w(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**5\/15 - 4*l**4\/3 + 40*l**3\/3 + 2*l**2 - 13. Solve k(t) = 0 for t.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 16*y**2 + 2*y - 16. Let o(f) = f**3 - 15*f**2 - 2*f + 16. Suppose 0 = 3*n - 26*n + 69. Let s(a) = n*k(a) + 4*o(a). Calculate s(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t**2 + 1. Suppose 2*q - 18 = 4*j, 3*j + 5 = 4*q - 11. What is the tens digit of f(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62.738077 + 62.576. Let s = 110 - 109.838. Let v = s + w. What is v rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13 = o, 5*o + 10 = -2*z + 29. Let j be (-4)\/(-1) - z\/6. Let f = 3 + j. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 187?\nAnswer: 186.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*x = -2277, -5*i - 8*x = -7*x - 3767. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 6*s**2 - 3 + 0 - 2*s**2 wrt s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.1, 5, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 30 = 0. Calculate the least common multiple of v and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 4*j - 2 - 6*j.\nAnswer: -2*j + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39+0.013936235\nAnswer: 39.013936235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4, 2*r + 4*w + 10 = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 4*o - 1. Let a be w(-2). Suppose 0 = -a*i + 3, 2*h - 3*h + 78 = 4*i. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/((-35)\/2436) - 7.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2682\/(-1490)*(39\/9 + -4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 455.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**3 - c**3 + 9*c**2 + c + 8 + 4*c + 6*c**3. Suppose 3*p - 32 = 5*i, -i = -5*p + 2 - 0. Is 21 a factor of m(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqsssssnsfnnft. Give prob of sequence tssq.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - 2133101?\nAnswer: -2132342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106282 + 154947. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5103 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + (-755)\/(-10). Let m = z - 52. Let g(c) = -c**2 + 5*c + 3. Let i be g(5). What is the highest common factor of m and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 16*a - 206. Determine d(-5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 8*s**2 - 14 + 10 + 6 + 2*s**2 + 2*s to the form w*s**2 + b*s + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 2. Suppose -4*q + 0*p + 2*p + 12 = 0, 4*q - 4 = -2*p. Suppose 2*z - 24 = -z. What is the remainder when h(q) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = 0, 0 = -3*f + 2*m + 2*m - 17. Let p(r) = -10*r**2 - r - 1. Let u be p(-1). Let c = f - u. What is the remainder when 5 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218123.\nAnswer: 29, 76487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 9:34 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y**3 + 10*y**2 + 4*y + 29. Let g(x) = 5*x**3 - 11*x**2 - 4*x - 29. Let z(o) = 7*g(o) + 6*w(o). What are the prime factors of z(-17)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7215000 to the nearest 100000.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let u(i) = -14569*i**2. Calculate g(u(v)).\nAnswer: -14569*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 - n**2 + 0*n**2 + (-155 + 52*n + 155)*(-4*n + 2*n - 3*n) + n - 2*n**2 - n in the form b + w*n**2 + x*n and give w.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 17 = 5*d, -7 = -2*d + t - 0. What is the greatest common divisor of 24 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39772 and 51484.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037 * 11707367.\nAnswer: 433172.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27301 - -27301. Let t(j) be the third derivative of 0*j + 1\/6*j**4 - 21*j**2 + m*j**3 + 0. Let g(o) = 2*o. What is t(g(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 101, 114, -321 in ascending order.\nAnswer: -321, -2, 101, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/(405\/80 - 5). Let y = h + 192. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*w - 5. Calculate the least common multiple of w\/(-1) - -1 - -16 and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 6. Is ((-456)\/d)\/(4\/(-6)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (5*sqrt(66)*-1)\/sqrt(6).\nAnswer: -5*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmvmvmvnvm. Give prob of picking 1 n and 1 v.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3569, -3639, -3739, -3863, -4005, -4159, -4319?\nAnswer: -4479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5937*g**3*q**2 + 4*g**3*q + 121349*q**2 with respect to g.\nAnswer: 17811*g**2*q**2 + 12*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 1194 + 1116. Let b be (-1)\/(-4) + h\/(-84). What is the least common multiple of (360\/63)\/(4\/b) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -11) + (-4 - (-23 + 11)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*8\/30. Let k(x) = -2*x - 14. Let y be 4\/(-14) - (-47)\/(-7). Let t be k(y). Which is bigger: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10765293 times -0.4\nAnswer: 4306117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7312338 is divided by 348205.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/594 and -113\/10758?\nAnswer: 96822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, b: 3}. Give prob of sequence rb.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8. Let q be (-2 - x)*1\/(-1). Find the first derivative of -k**3 + 7*k**3 + 1 - q*k**3 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -20 - 2*w + 20. Let x(v) be the third derivative of -v**4\/24 + 6*v**2. Let r(t) = -6*t. Let n(g) = 2*r(g) - 11*x(g). What is s(n(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + t + 3*t + 96, -4*t + 120 = 2*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 48 - (2 - -28)) + -28\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 10 = -2*x, 0 = -3*x - 2*x - 3*u - 1. Let b be -1 + x - (-2 - 3). Suppose 30 = b*c - 5. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**3 + 5*y**2 - 5*y**2 - 4*y**3 + 15*y**3.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*n + 6*n - 6*n)*((9 - 19 - 19)*(-2*n + 2*n - 2*n) + n - 3*n + 3*n) to k*n**2 + i*n + c and give k.\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1157142437 + 5?\nAnswer: 1157142444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 + 174. Suppose -2*v - d*k = 6, 0*v + k - 6 = -2*v. Sort 8, v, -9.\nAnswer: -9, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 544870247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 25 = 4*v, -v + 3*i - 3 = -5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11156842 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*n - 208, -v = n + 44 + 22. Let d be (-76)\/n - 1 - (-740)\/68. Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 3*z + 4. Let f(j) be the second derivative of 38*j + 2 - 1\/2*j**2 + 0*j**3 + 1\/12*j**4. What is 6*f(r) + p(r)?\nAnswer: 2*r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*5)\/sqrt(5).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -29*w + 1. Let o = -29 + 28. Is 10 a factor of m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -10*i + 4. Let y(f) = f - 1. Give n(x) + 2*y(x).\nAnswer: -8*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 402302 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 + 33*b**3 - 11*b**2 - 35*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 2917783, -0.3, 2 in decreasing order.\nAnswer: 2917783, 2, -0.3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 2*c**2 - 13*c - 14. Determine a(-4).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -959, -3786, -8491, -15068, -23511, -33814, -45971, -59976?\n\"Answer: s**3 - 945*s**2 + s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002916 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q + 13. Suppose 4*v + 9 + 3 = 0. Let g = v - -3. What is the remainder when 37 is divided by l(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65531 (base 12) to base 10\nAnswer: 133813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1000, -6031, -19744, -46489, -90616, -156475?\nAnswer: -248416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(228)\/sqrt(192)) + ((1 + sqrt(19))*6)**2.\nAnswer: 291*sqrt(19)\/4 + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(2*z + 1 - 1) + 3*z + 5*z + 2*z to h*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuooluyuloul. Give prob of sequence ou.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 5*y**2 - 2*y**2)*(2 + 0 + 0) + 11*y**2 - 1 + 1 - 1 + 2*y.\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.06 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = 0. Suppose p = 5*o + 10 - 50. What are the prime factors of 34 + o\/(4\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(75)\/(sqrt(20)\/sqrt(4)*4))\/(sqrt(33)\/(5*(sqrt(11) - 5*sqrt(11)))).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - 854\/(-42). What is the units digit of d\/25 + (-186)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -992\/11. Let c = 0.8 - -0.2. What is the nearest to -1 in c, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 6. Let b be a(4). Suppose -m - 7*u + b*u - 12 = 0, 3*m = -5*u + 6. Is (-521 - 0)*3\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16240 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 205*t**4 - 55*t**3\/3 + 55*t**2\/2 - 55*t - 260. Let g(n) = -91*n**3 + 6*n**2 - 6*n + 6. Give -55*g(j) - 6*l(j).\nAnswer: 85*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (40934\/4 + 1)*(-8)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 105 = 2*y, -6*h + 3*h + 5*y = -313. List the prime factors of h.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -107. Suppose 170 = -v*a - 7*a. Let x = a - -73. Calculate the remainder when x is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*a = 411, k + a - 207 = -k. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 200, 184, 134, 32, -140, -400, -766, -1256?\n\"Answer: -3*x**3 + x**2 + 2*x + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62236*c - 13284 - 38388 = 57930*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 171919298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 69 (b) 0.1 (c) 2 (d) -8 (e) 0.3 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*z + 24, h + 2*z - 5 - 5 = 0. Suppose h*i - 135 = 3*i - p, 0 = 5*i + 4*p - 218. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 5*t - 8*m + 5*m, 0 = 4*t + 5*m - 253. Let i = -47 + 115. Which is greater: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-6) - -2)*12. Let k = -194 + 196. List the prime factors of (k - 256)*(-2)\/z.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359660000 rounded to the nearest one million?\nAnswer: -360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 27 = 0. Let q = 83\/3 - p. Let f(d) = -d**3 + 8*d**2 - d + 11. Let w be f(8). Which is the closest to q? (a) -3\/4 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 20 = 999*q - 1000*q, 0 = 4*v + 5*q + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 993 + -1933\/2. Is 26 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476\/(-204)*6\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 - 5)) + (-24 - -23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 22*u**2 + 76*u - 43. Let h be k(-15). Calculate the greatest common factor of h and 1813.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -104, -179, -254?\n\"Answer: -75*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 124257240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -375?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 6:06 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21010.8599 + -21236.87. Let m = -226 - z. What is m rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1\/2 + -1). Suppose -8 = -4*v, -4*b - 2*v + 12 = q*v. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4\/3 - 10*g**3\/3 + 28*g**2 - 152*g\/3 + 80\/3 = 0.\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 10 - (-169 + 77 - -83).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 33 + i - 104 + 26 - 81 to the form l + a*i and give l.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 - 53. Let f = 302 + -125. Find the common denominator of f\/k + 4\/(-14) and 85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(4\/(-10)) + -2. Suppose -3*h + 54 = -3*n, -g*n = -h + 4*h - 30. What is the lowest common multiple of h and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 41 = -6*v. Suppose -2*n = -3*n - v. List the prime factors of (n\/2 + 3)\/((-2)\/188).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516482.\nAnswer: 2, 258241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 8*a**3\/3 - 6*a**2 - a - 3. Let u be o(6). Let x = -143 + u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -1.2, 5, 2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = z + 1, -z = g + 3*g + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**4\/12 - 5*u**3\/6 + u**2 + 7*u. What is q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let o be q\/(-2)*(-4 + 2). Let k = -2 + o. Is k bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7963074 seconds to minutes.\nAnswer: 0.01327179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*p + 1. Find the first derivative of -2*h + 7*h - p - 4 + h wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433061 by -491.\nAnswer: 433061\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 8*v**2 + 11*v + 6. Let n be r(8). Suppose -7*d + n = -5*d. Suppose 2*s - d = -9. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12381582?\nAnswer: 2, 3, 2063597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2440 - -2439.6. What is the third biggest value in 9, 5\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38946.488 * 2.\nAnswer: 77892.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387818 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 3279 in ascending order.\nAnswer: -1, 10, 3279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Let r = -19 + 2. Let w = -18 - r. Is w smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/695 and 89\/10275795?\nAnswer: 1428335505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 3*m - 2, -3*v - 11 = 299*m - 295*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1009.218 * 0.168.\nAnswer: -169.548624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4052400 and 63825300?\nAnswer: 255301200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.925 + -0.075. Let r = u - -22.45. Round r to one decimal place.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*m + 4 = 2*z - 181*m, 5*m = -3*z + 9. Let g(x) = -x + 1. Let k(n) = -n**2 + 4*n + 6. Let u(h) = 4*g(h) - k(h). What is u(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 320.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20\/3 + 22\/3. What is the closest to v in -3\/8, -8, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = 6. Let z be n\/(-21)*333\/(-1). Suppose z = 4*w + 35. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242\/13 less than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 80. Which is the third smallest value? (a) q (b) 1\/9 (c) 0.05 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116716 (base 8) in base 14?\nAnswer: -10a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 2.45437083438?\nAnswer: -1.45437083438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/130)\/(5 + 46\/(-8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17\/(-14)*-48 + (-4)\/14. What is the highest common divisor of n and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(147) + -1)**2*-5.\nAnswer: -815 + 280*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o + 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -846488*n + 3644233 wrt n?\nAnswer: -846488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/7 + 85\/91. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - d**3*i - 4*d**3 - 981*d**2 + 171684*d + i wrt d?\nAnswer: 12*d**2 - 6*d*i - 24*d - 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -37, -4, -30848 in descending order.\nAnswer: 3, -4, -37, -30848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16805*c**3 - 81 + 81.\nAnswer: -16805*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21290 - 15680. Calculate the greatest common factor of x and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63\/1976 - 3018761\/17784. Which is smaller: -170 or m?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 38, 137, 328, 641?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 10 - 0. Suppose 0 = q*d + 4*k + 2, k + 32 = 4*d. Suppose -1 = b + t - 15, 3*b - 37 = -4*t. Calculate the remainder when b is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/((-35)\/175).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -16749*q + 16752. Calculate k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.56999936 - -0.57. Round g to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -21. Let g = t + -4. Suppose 0*n + 11090 = g*c - 5*n, -5*c + 18506 = 3*n. Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 11*w - 17. Let o(t) = 5*t + 43. Let p be o(-10). Let d be l(p). Solve -d = -4*z - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15011362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 4*x + 7*x)*(2*x - 7*x + 3*x) + x - 2*x**2 + 2*x - 2*x.\nAnswer: -30*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.17 + -12752?\nAnswer: -12762.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/1731 and -68\/39813.\nAnswer: 39813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31680.6 decades in months?\nAnswer: 3801672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-200))\/((-535)\/(-815875))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1863 + -10 + (-2)\/(-2). Let m = g - 1220. What is m rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-5))\/(-1)*(-85)\/612*-9. Let t(i) = i. Let n(h) = 19*h + 1. What is y*t(w) + n(w)?\nAnswer: 21*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l + (0*l + l - 2*l)*(-4 + 5 - 3))*(-345*l + 56*l - 157*l).\nAnswer: -1338*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -474 - -479. Suppose -g*c - 12 = 2*h - 32, 0 = -5*h + 3*c - 12. Let u = 5 + -4. Solve q - u = -h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74\/867 - 70757\/95370. Find the common denominator of d and 129\/616.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-439)\/5 - 2\/10. Let k = l + 125. Let m = 62 - k. Calculate the greatest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(171)*4)\/sqrt(9).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/4 + 2*a**4 - 25*a**3\/4 + 19*a**2\/2 - 7*a + 2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3184*h - 9560. Calculate v(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.7 - -4286.\nAnswer: 4294.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 4*f**2 - 3*f + 4. Let j be z(3). Let p be (3\/(-9))\/((-1)\/18). Suppose -2*v + 6*v - 72 = 0. Solve j*d = v - p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 64?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:41 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4179*q**3 + 45*q**2 + 3*q + 3. Let w(n) = 12536*n**3 - 120*n**2 - 9*n - 8. Give -8*g(j) - 3*w(j).\nAnswer: -4176*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 5124\/(-861) + 6. What is the nearest to x in -4\/9, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1077284 and 20358?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 3*a + a**2)*(-29*a + 1 + 26*a + 2) to f + l*a**3 + d*a**2 + c*a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2897\/10 - 8761\/30. Put o, -11, -44 in decreasing order.\nAnswer: o, -11, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -19*u**3 - u**2 + u + 1. Let y = 3 + -2. Let a(j) = j**2 - 2*j. Let q be a(y). Is g(q) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12393 + 0.4?\nAnswer: 0.52393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-9 - 0\/(6\/3)). Let c be (-1)\/((-5)\/o)*20\/8. Sort -23\/4, c, -0.4.\nAnswer: -23\/4, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in -4\/5, -5, 766.9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - 48 + 0*c + c**2)*(2 - 2 - c**2 + c).\nAnswer: -c**4 - c**3 + 50*c**2 - 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12100 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1488, -4497, -9516, -16551, -25608, -36693, -49812, -64971?\n\"Answer: -p**3 - 999*p**2 - 5*p - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1076 - -1102. Put 2, q, -4, 5 in decreasing order.\nAnswer: q, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, -143, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1660, 1661, 1662, 1663, 1664?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7 - 3 + j**2 - 4. Let y(c) = 7*c**2 - 13. Let a(w) be the first derivative of w**3 - 6*w - 3. Let s(q) = -13*a(q) + 6*y(q). Give b(s(k)).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*p**4 - 36*p**4 - 2*p**3 + 114*p**2 + p**3 + 77*p**4 in the form s*p**3 + r*p + l + n*p**4 + h*p**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2567697 divided by 77809.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 338. Let g = a + -149. Calculate the greatest common factor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -8. Let c be (0\/(-2))\/(h + 1). Suppose c*m = -m. Is m at most 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313144874759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 609843 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u - 4*u + 3*u**3 - u**3 - 3*u**3 as l + a*u**2 + x*u + w*u**3 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1548\/5465 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580019 is divided by 52725.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4 + 5203*v**3*z**2 - 3860*v**2*z**2 + 2*v*z**2 - v + z**2 wrt v.\nAnswer: 24*v + 31218*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Let b = d - -12. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675*c**4 + 247735*c**3 + 20196295*c**2 - 477419275*c - 7077310 = 0. Calculate c.\nAnswer: -193, -2\/135, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0, -3, -2\/7, 0.04967, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931)*-2 + -3 - sqrt(931))) + (-1 + sqrt(931) + 4 - sqrt(931)) + sqrt(931) + ((-1 + sqrt(931))*6 - sqrt(931)) + -2)**2.\nAnswer: -280*sqrt(19) + 93104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 124 = -5*h - 0*o, -5*h + 4*o + 138 = 0. Let q(n) = n - 10. Let y(s) = 6*s - 50. What is h*q(i) - 4*y(i)?\nAnswer: -2*i - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4706*v**2 + 3828*v**2 - 92298*v**2.\nAnswer: -83764*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctic when four letters picked without replacement from {a: 2, t: 1, c: 2, f: 8, i: 1}?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -16) + 0 + 10 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 19276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evveyeyye. Give prob of picking 2 e and 1 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85848635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 974451359 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107008, -108125, -109254, -110401, -111572?\n\"Answer: -b**3 - 1110*b - 105897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -29.9.\nAnswer: 3.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -111.\nAnswer: -5\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 25. Suppose 0 = b - i + 6. Let j be (b + 1 + -4)*-1. Solve 4*z + j*u + 1 = 0, -2*z + u + 3*u = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 35550*y**3 - 63225665*y**2 + 126344700*y - 63154580.\nAnswer: -5*(y - 3554)**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100987 = -2739*g + 99431 - 25122 for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**2 - 8*w + 8. Suppose 5*c + 3 = 2*r, -3*r - c = -0*r - 47. Let b(l) = l**3 - 13*l**2 - 13*l - 9. Let o be b(r). Is t(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**8\/560 + 3*c**7\/350 + c**6\/100 + c**2\/2 + 16*c. Let z(p) be the first derivative of i(p). Factor z(q).\nAnswer: 3*q**3*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.34 + -1.24. Which is the nearest to 0.1? (a) h (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 220 = 5*c, 3*c - 4*g = -106. Let a = c - -75. Calculate the highest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13533807 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 2*i. Let c be (32\/2)\/(4\/10). Suppose 20 = 15*g - c. Let o(m) be the first derivative of -m**3 + 5*m**2\/2 + 1. Give g*o(u) - 10*f(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004862 rounded to seven dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 2:22 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s + 2 - 3*s + s)*(-10 + 2 + 2) to the form q*s + u and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54637871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54502 - -3?\nAnswer: -54488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2 + 2 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -5*q**4\/24 + q**3\/2 - 3*q**2. Suppose b + 2*b - 45 = 0. Suppose -2*g + b = 9. Give c(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 4*p - 440 = 7*m, -5*m = -p - 556. List the prime factors of m\/333 + 2\/(12\/8854).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**4\/12 - 7*d**3\/2 - 3*d**2\/2 + 3*d + 5. What is a(-21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.15 (b) -4 (c) -1\/9 (d) -2 (e) 78 (f) 5 (g) 0.46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 19, 6, -0.5 in descending order.\nAnswer: 19, 7, 6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**4 - 3*v**3 - 16580*v**2 - 15*v - 1941562.\nAnswer: 4*v**3 - 9*v**2 - 33160*v - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*p**4 - 15*p + 15*p**3 + 57\/4 - 27\/2*p**2 = 0. Calculate p.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98\/93 + 12\/31. Let f = 16\/15 + l. Factor f*m - 2\/5*m**2 + 4\/5.\nAnswer: -2*(m - 2)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 14\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019446495 to the power of 1\/3, to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**4 - 55*i**3 + 193*i**2 - 4. Let u(x) = -x**4 + 55*x**3 - 189*x**2 + 5. Let l(q) = -5*j(q) - 4*u(q). Find the third derivative of l(k) wrt k.\nAnswer: -24*k + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -305 + 183. Let s = n - -125. What is the closest to -6 in 3\/5, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -186?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7186 - 7188.565. Round f to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = h, -2*h = -4*h - 8. Let w be (16\/(-40) - (-4)\/10)\/q. Let o(y) = -y + 14. Calculate o(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185320 - 32463 = 2447*w for w.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006157988 to 7 dps.\nAnswer: 0.0000616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 315.8969 seconds?\nAnswer: 315896.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/60 + b**4\/2 + 2*b**3 + 3*b**2. Let c be s(-9). Let i be (c\/(-9) - 1)*3. Let x(f) = f**3 + f + 1. What is x(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3234*h. Let g(m) = 3*m. Determine a(g(x)).\nAnswer: -9702*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.358 times 4\nAnswer: 13.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68897 (b) -2 (c) 1.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 82602.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1906 - 1901. Solve -5*f + 2*r - 6*r - 36 = 0, z*r = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2 + 2*n**2 + 5*n - 2 + 2. Let v(s) = 6*s**2 - 118*s. Let o(g) = -g**2 + 19*g. Let l(x) = -31*o(x) - 5*v(x). Determine c(d) - 6*l(d).\nAnswer: -4*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1961991 times 11\nAnswer: 21581901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11562, -23138, -34714, -46290, -57866?\n\"Answer: -11576*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 11 = -v, 4*v + 3*c = 11 + 13. Find the first derivative of -3 + 0 - v*w**4 + w**4 - 2*w**4 wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*g + 63, f + 11 = -0*g - g. Let j = -11 - g. Solve 4*p = 2*b + 18, -4*p - b - j*b - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1911*d - 985. What is the thousands digit of g(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247809 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -72496 divided by 8\nAnswer: -9062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2074 divided by -5?\nAnswer: 2074\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**3 - 9*s - 11*s**3 + 24*s**3 + 0 + 34*s - 4 to h*s + y + q*s**3 + r*s**2 and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 + z + 3. Let w(y) = -4*y**2 + 4. Let h(u) = 5*b(u) - 6*w(u). Is h(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488 - -486. Put 0.3, 41, j in increasing order.\nAnswer: j, 0.3, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(320))**2 - 3*(sqrt(500) - sqrt(500)*3)**2) + -1.\nAnswer: -5686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 824\/112 - (-6)\/(-72)*6 and -23\/49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -690 divided by -10850.\nAnswer: 69\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - n + n)*(2 + 3 - 4)*(-2*n - 68*n**2 + 71*n**2 + 3*n).\nAnswer: -6*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19025, 19008, 18977, 18926, 18849, 18740, 18593?\nAnswer: 18402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(sqrt(1539) - (sqrt(1539) + -1)))**2 + ((sqrt(1539) - (sqrt(1539) + -1))*-6 - sqrt(1539)) + sqrt(1539).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h\/(h\/h**(2\/7))*h*h*h)**(1\/34))**(-46) assuming h is positive.\nAnswer: h**(-1012\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/8 + (-2)\/8. Suppose -x + 15 = s*x. Which is smaller: 7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003053014 rounded to 7 dps?\nAnswer: 0.0000305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*r + 3, -2 = -n - 3*r - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, z: 6, q: 3, i: 3, b: 2, m: 2}. Give prob of picking 3 z and 1 m.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2252887757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 h when four letters picked without replacement from hhtthhhhthhhttthhh?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000087413 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533*n - 1037*n + 516*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 bigger than 566\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42332, -42313, -42294, -42275?\n\"Answer: 19*f - 42351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/93?\nAnswer: -10\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-12))\/(-8)*(-3)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/44 and -27\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*n - 25 = -330*n. Let d be ((-6)\/5)\/((-6)\/20). Suppose -u = 0, -d*l - 4 = -6*l - 5*u. Solve -4*m = -n*i + 17, l*i + 1 - 9 = m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1932 + -942. Suppose -3*m = -3*i - c, m - 3*m - 3*i = -665. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44 - 41)*(-40)\/6*-1. Let i(u) = u**3 - 19*u**2 - 13*u - 7. Calculate i(k).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -67*n**3 + n**2 + n + 1. Calculate the remainder when d(-1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r**2 + r. Calculate q(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.9273862 and 1237.\nAnswer: 1219.0726138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -145, -116, -67, 8?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-117)\/(-9126)*351?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowoofowcc. Give prob of sequence ocfw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - w - 7 - 38, 45 = o + 4*w. Suppose 0 = -61*g + 58*g + 17*t + 392, 0 = 5*g + 2*t - 623. What is the highest common factor of g and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*c - 3085, 6*c + 334 = 3*n - 1517. Calculate the remainder when n is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 252437, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.093 in -0.5, 74\/51, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2749?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.6 - -1.4. Let u = 8 - c. Let h = -1 - -1.4. Put u, 3\/4, h in decreasing order.\nAnswer: 3\/4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4841*b - 175. Let p(z) = -3*z**2. Determine h(p(r)).\nAnswer: -14523*r**2 - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83303, -666492, -2249435, -5332010, -10414095, -17995568?\nAnswer: -28576307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*h*z + 2*d*r*z - d*z + 67*d - 26*h*r*z + 2*h + r*z + 106*r with respect to d.\nAnswer: -3*h*z + 2*r*z - z + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 9338370.51?\nAnswer: -9338370.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 378 = -0*a. Suppose -a - 10 = -2*b. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 2) + (-2 - -2) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 37 = -2*n. Suppose 0*i = -3*i + n. 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 the second biggest value in -43\/20, 3\/652, 1\/3, 0?\nAnswer: 3\/652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -1 - (4 + -14 + -2 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b4c (base 14) to base 6\nAnswer: 14144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417769.\nAnswer: 11, 163, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -33*t**3 + 2*t**2 + 2*t + 2. Let u be h(-2). Let i = -232 + u. Calculate the greatest common divisor of 95 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200898 is divided by 87.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14109 or -0.0958?\nAnswer: 14109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 + 6*k**3 - 8*k = 0 for k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160778699 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 729 and 12.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8574986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251414, 251424, 251432, 251432, 251418, 251384, 251324, 251232?\nAnswer: 251102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 1 q when three letters picked without replacement from rewqp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2070.1 - -2070. Which is the nearest to -17? (a) t (b) -1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*c**2 - 101*c**2 + 31*c**2 - 7*c**2 + c**2 + 11*c**2 + (0*c + 3*c - 2*c)*(-3*c + 2*c + 0*c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33*0.1582\nAnswer: 5.2206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2062, 8278, 18646, 33166, 51838, 74662?\n\"Answer: 2076*s**2 - 12*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*b - 116*b + 46*b**4 + 2 - 124*b**4)*((-2*b + 3*b + 0*b)*(2 + 3 - 3) - 3*b - 2*b + 7*b + 0*b - b + 3*b).\nAnswer: -468*b**5 + 12*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from qwnnhwm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 11:10 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23476*i**2 + 11741*i**2 + 11752*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195a4 (base 12) in base 8?\nAnswer: 110414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 268*l**6\/5 - 9*l**3 + 2*l**2 - 321*l. What is the second derivative of m(o) wrt o?\nAnswer: 19296*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2870 = -11*k - 30*k. Calculate the highest common divisor of k and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18.882 and -4782.8782082?\nAnswer: 4763.9962082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -447, -3417, -11393, -26853, -52275?\n\"Answer: -413*i**3 - 25*i**2 - 4*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 3*h + 1. Does 38 divide n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 - 154*s - 1. Let k(i) = 5*i**2 - 155*i - 3. Let j(z) = 5*k(z) - 6*m(z). What is the first derivative of j(x) wrt x?\nAnswer: 2*x + 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369265157.\nAnswer: 3, 13, 11703121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 3*sqrt(72)) + 4 + (-2*(sqrt(72) - (4*sqrt(72) + 2)) + -4)**2.\nAnswer: 36*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1861*h + 1947*h - 3910*h. Let z(j) = 3*j. What is n(z(l))?\nAnswer: -306*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -12. Let v(o) be the third derivative of 0 + 0*o**3 + 0*o - o**2 + 1\/60*o**5 - 1\/36*o**4 + 1\/72*o**q. Factor v(m).\nAnswer: m*(m + 1)*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 + 2 - 10*f + 0 - 3*f**2. Let p be b(10). Solve -5*i - p*j - 8 = 0, -4*i + 3*j = -i + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - u**2 + 3*u**2 + (-4 + 4 + 3*u)*(2*u + 0*u - u) - 8 + 50*u + u**2 - 89*u + 40*u.\nAnswer: 6*u**2 + u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24305630 is divided by 407?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + (5 + 5 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2128584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 53348535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**3 - 12*a**2 - 183*a - 9. Let h(x) = -3*x**2 - 1. Let w(o) = -9*h(o) + l(o). Find the second derivative of w(q) wrt q.\nAnswer: -54*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 4 - 4) + 2 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.00074+0.9164923\nAnswer: 0.9172323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - z - 10, 2*q + 3*z = 14. Suppose -2*o - 58 = -q*o. Let r = 494 + -233. Calculate the highest common divisor of r and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 3*r**2 - 10*r**2)*(0*r**3 + r**3 + 3*r**3) - 2*r**5 + 4*r**4 - 4*r**4 + (-r**4 + 0*r + 0*r)*(r - r + 2*r) + 2*r**5 - r**5 + 0*r**5.\nAnswer: -27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + v + 6. Let c be d(-3). Let b = c + -17. Suppose 0 = -5*r + 22 + b. Let l(j) = -j**2 + 8*j. What is l(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d8 - 9a?\nAnswer: 63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(38)*-2*-4)\/(-6*sqrt(98)*-2).\nAnswer: -2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 13 = 2*v - 10, -3 = t. Solve 12 = -0*f + v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1193178917*c**2*q - 14*c**2 + c + 4112012 with respect to q.\nAnswer: -1193178917*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 134534 * -522\nAnswer: -70226748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 2:11 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 h when three letters picked without replacement from nnnhnhnnhh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*w**2 + 27*w**2 + 27*w**2 + 27*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.088*-0.06.\nAnswer: -0.00528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -10. Let n be ((2 - -2)\/1)\/1. Sort i, 0, n in ascending order.\nAnswer: 0, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 582, 1071, 1560, 2049, 2538?\nAnswer: 3027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801811813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405, -810, -1215, -1620, -2025?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 107\/4 - (-15)\/(-20). Let f = 40 - v. Let q = f + -3. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 99*y. Let c(r) = -20571*r - 20. Give c(p(i)).\nAnswer: -2036529*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -120 + 123 - (7 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1084 - 162*l**2 + 6*l - 56*l**2 - 52*l**2 - 3437 - 138*l**2 wrt l.\nAnswer: -816*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from rttttarartrtrarra?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (8 + -14 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228698873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.132 plus -828629?\nAnswer: -828628.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 divided by -1?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2615 is divided by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32968010 or -1?\nAnswer: 32968010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -943553, -943547, -943541, -943535, -943529?\nAnswer: -943523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 485\/1853, -0.08, 3\/8, 4 in decreasing order.\nAnswer: 4, 3\/8, 485\/1853, 0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*p + 2 - 6 + 153*p + 1 to r*p + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-42) - (-2)\/(-7). Let k = -0.2 + -0.3. What is the nearest to u in k, 4\/5, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15*-1)\/(1\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 51*q - 15. Let k be d(25). Let o be (-36)\/(-15) - 4\/k. Is o less than -4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*o**2 - 2*d*y**2 - 118*d*y + o**2*y**2 - 309*o**2 + 19*y**2 wrt o?\nAnswer: 4*d*o + 2*o*y**2 - 618*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7803823 (base 9) in base 16?\nAnswer: 400407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g**3 + 1. Let a be f(-1). Let u be (1 + a)*((-150)\/(-9))\/(-5). Let h = u + 100. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 0*t + 422 - 470 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4664, -18636, -41922, -74522?\n\"Answer: -4657*n**2 - n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001087827967 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/2)\/(46\/11960) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -722, -714, -686, -626, -522, -362?\n\"Answer: 2*h**3 - 2*h**2 - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uilvl. Give prob of sequence iv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 = 2*k + 4, -w = -2*k + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btaa when four letters picked without replacement from {b: 1, a: 2, t: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*3743761\nAnswer: 748752.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98333046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - h = -5*h + 8, -m + 3*h = -20. Let k(a) be the third derivative of a**6\/120 - 7*a**5\/60 - 3*a**4\/8 + 5*a**3\/3 + 2690*a**2. Determine k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 405 = f, -66 + 193 = v + 3*f. What is the least common multiple of v and 2040?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 1. Let t(w) = 2*w**2 + 59. Give t(b(q)).\nAnswer: 18*q**2 - 12*q + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*j = 10, 15 = 3*v - 6*j + j. Suppose -5*c + 41 = 3*x - 0*x, 0 = -v*x - 2*c + 43. Calculate the smallest common multiple of x and 7*(-1 + 2 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*5\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 747 and 4377669?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(72)\/sqrt(6).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*a - 16, 2*g + 3*g + 4*a - 47 = 0. Let l(f) = -39*f - 1 + 8 - g. Let b(z) = z. Give b(l(u)).\nAnswer: -39*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756*h + 20070 = -741*h. What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**6\/9 + 5*c**4\/12 - c**3\/3 - 37. Let v(o) be the third derivative of k(o). Differentiate v(r) with respect to r.\nAnswer: -80*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 - 34*h + 37. Let s(p) = -2*p**2 - p. Let g(l) = i(l) - 3*s(l). Let o be g(9). Solve -2 = q - o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31625*d + 31774*d - 95018*d + 31619*d - 92*d**3.\nAnswer: -92*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 3*y - 5. Determine m(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 - -2.70000004. What is p rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/(-24))\/(594\/(-528))*(-4)\/(-310).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*a - 6237 + 754 - 1644 = 28 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2654 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o = 0. Let k be (-6)\/(-4)*30408\/(-189). Let z = 242 + k. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -74360*q + 46959 wrt q.\nAnswer: -74360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32885877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*t = 576, 14*t - 9*t = -4*h + 440. What is the highest common factor of h and 3880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - 91 - 8*g + 44 to s*g + n and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)*j*j*j**(-4))\/(j\/(j\/(j\/j**(1\/8))))**(-12))**(-46\/5) assuming j is positive.\nAnswer: j**(-2829\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 4118.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 40*i**2 - 42*i - 98. Let o(l) = l + 66. Calculate the remainder when o(-11) is divided by g(-39).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 876.278 + -874. What is a rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 49)*(-10)\/4. Suppose 4*w - 34 = l. Factor -w*m - 2*m**3 + 2*m**2 + 41*m.\nAnswer: -2*m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 3 = -3*p + 16*u, -5*p + 2*u + 6 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -17\/4 (b) 64\/37 (c) 3\/7 (d) 284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3476*a**3 - 1331*a**3 - 8050*a + 1894*a + 2347*a**3 - 2529*a wrt a?\nAnswer: 26952*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6508382163 to the nearest integer?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 24*f - 672 = -7*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934506 is divided by 911.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(136) + sqrt(136) + (sqrt(136) - -1*(sqrt(136)*3 + sqrt(136) + sqrt(136))))\/sqrt(8).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*x**3 - 2495*x**2 + 31000*x + 3125.\nAnswer: 5*(x - 25)**2*(10*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (-2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:55 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736*h - 28 = 732*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/13909468 and -109\/25231128?\nAnswer: 1084938504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -8) + -1 + 42 + -41.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1286*c**4 - 2*c**3 + 21*c**2 + 39471*c wrt c?\nAnswer: -15432*c**2 - 12*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 5*x + 4*o, 4*x + 5*o = 3*x - 18. Let h = -60 + 56. Let f = -302 - -307. What is the second smallest value in x, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652845.\nAnswer: 3, 5, 71, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021101 + -210?\nAnswer: 2020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 4 - y + 2*y + 4*y. Let d be s(7). Suppose 0 = d*l - 0 - 12. Solve 4*z = -l - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -43\/10, -2, -0.5, 3?\nAnswer: -43\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8645643 is divided by 1485.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010*y - 1006*y - 4*a - 8 = 0, -7 = -3*y + 4*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*d, 21*d - 24*d = -5*v - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 439 - 436. Suppose s*z = 4*u - 77 - 1349, u + 4*z - 347 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p - 616 - 7*p**5 + 0*p - 33*p**6 + 30*p**4 - 29*p**2 + 63*p**6 - 32*p**6 + 27*p**2 wrt p.\nAnswer: -240*p**3 - 420*p**2 + 720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**6\/30 - 4*s**5 + 200*s**4 - 16000*s**3\/3 - 49*s**2\/2 + 2*s + 57. Let o(k) be the second derivative of l(k). Factor o(f).\nAnswer: 4*(f - 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -326266 (base 7) in base 13?\nAnswer: -201a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -740\/273 + 34\/13. Which is the nearest to -0.1? (a) o (b) -1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 112\/(-32) - 2\/4. Let s = 10 - 9.5. What is the third biggest value in -0.5, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 202 (b) 2 (c) -0.2 (d) -5\/4 (e) -1 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -486.155 + 78.864. Let r = -407 - d. What is r rounded to 2 dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2705 - 1557. Suppose 3*j + t = 3*s - j, 3*s - 1151 = j. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:03 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 10*p**2 - 9*p + 5. Let f = -7 + 16. Let t(m) = m**3 + 3*m**2 - 4*m - 4. Calculate the remainder when t(-3) is divided by n(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 8*r + 90. Solve 4*p = -2 - r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0133159989 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -19*v**5\/120 + v**4\/6 - 2*v**3\/3 - 4. Let i(n) be the third derivative of x(n). Let o be i(-4). Round o to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jbjbj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 251, 307, 413, 587, 847?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3\/4 + 189*d**2\/2 - 2673*d - 19602 = 0. Calculate d.\nAnswer: -6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -698*2\/(-32) - 21\/(-56). What is the highest common divisor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 936859 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 9*l - 12. Determine q(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -2*l - 8*p + 12, -3*p = 2*l - 40. Suppose 4*h + 0*o = o + 13, 3*h - 4*o - 26 = 0. What is the highest common divisor of h and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5617077.\nAnswer: 3, 1201, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -18*o - 4. Let l(j) = -37*j - 8. Let c(w) = 3*l(w) - 7*u(w). Suppose -d + 9 = 2*d. Is c(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 l when four letters picked without replacement from lkblllkblkk.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 347\/35970 - -3\/545. Let p(d) be the second derivative of 0 + g*d**4 - 1\/110*d**5 + 1\/33*d**3 - 1\/11*d**2 + 3*d. Solve p(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:32 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*1*-4)\/sqrt(5).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -624 - 2?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**2 - u - 1. Let a(i) = 8*i - 1. Let h be a(1). Let g be 16\/56 - 9\/h. What is y(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10db + 5793?\nAnswer: 687e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 3*z**2 + 4*z - 5. Let j be o(4). What is the units digit of ((-164)\/j)\/((-2)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) 1\/3 (c) 2 (d) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(-1\/40)*h*h**(2\/3)*h**(-7)*((h*(h**(-4\/3)\/h*h)\/h*h)\/h)\/(h**9\/h)*(h*h*h*h**(1\/2))\/(h\/((h\/(h*h**(-2)))\/h)) assuming h is positive.\nAnswer: h**(-671\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 583479 and 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617345 is divided by 670?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-9) - ((-209)\/(-33))\/(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - k + 115, -1 + 4 = k. Suppose 5*z + 298 = 4*n, -3*n + z + 221 = -4*z. Suppose -n = 3*q - 101. What is the highest common factor of q and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59860475 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - t - 1380, 9*t - 5*t = -5*m - 2300. Let j = m - -465. Solve 9 = -j*i + 34 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3, -2*b + 2*g = -136 - 46. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -169\/102?\nAnswer: -169\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156447767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 17*f - 2. Let y be j(6). What is the tens digit of y - 32\/4 - -49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 13. Which is the second biggest value? (a) 1 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*f - 144*f - 3*l - 25, 0 = 6*l + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5142763, 5142761, 5142757, 5142751, 5142743?\n\"Answer: -x**2 + x + 5142763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1371624 and -109\/48.\nAnswer: 2743248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7488963973?\nAnswer: 29, 31, 47, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (-15 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let o(u) = 2 + 2*u - 2 + w. Let x be ((-12)\/(-4))\/((-15)\/10). Calculate o(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 q, and 1 c when four letters picked without replacement from {q: 3, y: 1, c: 1}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15186097?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/33375 - 2169419\/734250. Calculate the common denominator of v and 91\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51331588 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 222396\/(-148092) - (4 + -14)\/(8 - 1).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*v - 12, -4*x = 3*v - v + 24 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.029? (a) -6 (b) 48 (c) -1 (d) 2 (e) -2\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 125263754 divided by 3\nAnswer: 125263754\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90\/4*(-12)\/(-15). Factor -n*z**2 + 14*z**3 + 4*z - 21 + 21.\nAnswer: 2*z*(z - 1)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5337*c**5 + 15952*c**2 wrt c.\nAnswer: 320220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**3 + 3*q**2 - 2*q - 2. Let g be z(2). Let y = g + 63. What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253 (base 8) to base 12\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 - 230072*s + 1380576 = 0 for s.\nAnswer: -57524, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*m + 134*m + 229*m + 232*m - 873*m.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 3, p: 1, j: 3, r: 1, b: 3}. Give prob of sequence rb.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:49 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -108?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 39943.1 weeks?\nAnswer: 402626448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 7:13 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1398, -5238, -9076, -12912, -16746, -20578, -24408?\n\"Answer: f**2 - 3843*f + 2444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**2 + 225*j**3 + 1622*j**3 + 19*j**2.\nAnswer: 1847*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15835 and -28.8.\nAnswer: -456048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22685266907 + 2*c + 22685266907.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 4*r, 2 - 8 = -3*r - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5694 - 6?\nAnswer: -569a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -865014620 rounded to the nearest one million?\nAnswer: -865000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)*((d\/((d\/(d\/((d*d*d*d**(3\/4)*d)\/d)))\/d*d))\/d)\/d)**45*(((d\/(d**4*d))\/d)\/d**(-7))\/(d**1)**(15\/2) assuming d is positive.\nAnswer: d**(-2677\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 11, -1\/5, 1 in descending order.\nAnswer: 11, 1, -1\/5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -242*w**3 + 16610*w**2 - 293136*w + 276768 = 0.\nAnswer: 1, 372\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzrhttyyzrryzrzhrr. What is prob of sequence ryz?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 62. Let d = i - 41.03. Let q = 0.03 + d. Which is the second biggest value? (a) q (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3, -3, -732, -1 in decreasing order.\nAnswer: 3, -2\/5, -1, -3, -732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30394, -60827, -91258, -121687, -152114, -182539, -212962?\nAnswer: -243383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:29 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -4.3961597011.\nAnswer: -4.3961597011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1756, 1582, 1298, 910, 424, -154?\n\"Answer: i**3 - 61*i**2 + 2*i + 1814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/7)\/(w\/w**(-1\/19)*w) assuming w is positive.\nAnswer: w**(-311\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24279816.\nAnswer: 2, 3, 11, 91969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g - 165 - 297 + 504.\nAnswer: -23*g + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by -34.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 612651469 a multiple of 5061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/51 and (-57992)\/84216 - 4\/58?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6259975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46854.1 - -8687.\nAnswer: 55541.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 21 - 177. Let z = -23 - y. Suppose 6*d**z - 3*d + 139*d**4 - 3*d**5 - 139*d**4 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10440 + -16.05681187.\nAnswer: -10456.05681187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300) + 2)*1 - ((sqrt(3) - (sqrt(3) + sqrt(9)\/sqrt(3))) + -5 - (4 + sqrt(3) + 1 + sqrt(3))))**2 + -3.\nAnswer: 48*sqrt(3) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 1:08 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 12*g - 10. Let d be n(12). Let f be ((-2)\/d)\/(16\/40)*26. What is the greatest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40226100 rounded to the nearest 100000?\nAnswer: -40200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 8071\/28. Calculate the highest common factor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 18*b**2 - 3*b - 3. Let p be m(-1). Suppose 0 = 17*a - p*a - 4. Let r = 13 + -18. What is the nearest to 2\/5 in r, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 54, 132, 240, 378, 546, 744?\n\"Answer: 15*b**2 + 3*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 - v**2 - 2*v**2)*(-476 - 34*v + 476) - 370*v**2 + 370*v**2 + 227*v**3 as d*v**2 + s + n*v + h*v**3 and give h.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/((-3)\/(-54)). Suppose -2*q + 164 = 5*x - 18, -x = 5*q - 41. Let v = x - w. Calculate the greatest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*k**6 + 41182*k**5 - k**2 + 3*k - 1904200.\nAnswer: -13680*k**3 + 2470920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883515 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d - 25. Let y be w(-4). Suppose t + y = -l, -t + 13 = -l - 4*t. Solve -j = 5*x, -4*x - l*j = -4*j - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*c + 65168 = 4*h, -52131 = -4*h - c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 15*k**2 + 9*k - 4. Let q be j(8). Let b(t) = 30932*t - q*t**2 - 30932*t. Let i(d) = -20*d**2. What is b(i(h))?\nAnswer: -1600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxxxxrrxrrrrxxxxxx. What is prob of picking 3 x?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0964067mm to kilometers.\nAnswer: 0.0000000964067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + -7) - 9 - (8 + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 81*w**2 - 423*w + 573. Determine t(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 9 = h - 4*d, -35 = -5*h + 4*d. Suppose 0 = -2*q - h*q + 10, -1516 = -4*s - 4*q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**3 - 1552*a**2 + 24244*a + 25792 = 0.\nAnswer: -403, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3\/11 (c) -31 (d) -246\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9546 + 1.5546. Which is the nearest to h? (a) -2\/7 (b) -3 (c) 164 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3880 divided by 776.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9343 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23405839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + 399\/(-15). Let f = i + 20. Let k(u) = -u**3 - 7*u**2 + 4. Determine k(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.135 take away -8459?\nAnswer: 8459.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.08533 (b) 2\/5 (c) 1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-86)\/8)\/(334\/112 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 24*j**2 - 5*j + 22. Let o(x) = 73*x**2 - 16*x + 68. Determine -10*i(t) + 3*o(t).\nAnswer: -21*t**2 + 2*t - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 0 + (sqrt(13) - (sqrt(13) + sqrt(52)\/sqrt(4) + -1)).\nAnswer: 1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 5:38 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let a = 1 - 6. Let x = -33774 + 33773.8. Sort d, a, x in descending order.\nAnswer: d, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 12. Let r(d) = 7*d**3 - 9*d**2 - 4*d - 4. Let o be r(7). Suppose -g*s - 378 - 270 = -w, -3*w + 4*s + o = 0. What is w rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.5 + 18. Let o be ((-124)\/(-4650))\/(1\/(-10)). Put m, o, -3 in increasing order.\nAnswer: -3, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 539\/(-868) - 2\/(-8). Let w = x + -4\/31. Which is greater: w or -2.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 9*u**2 - 44*u - 8. Is 8 a factor of c(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*w + 195577384 = 195*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*(sqrt(378) - (sqrt(378) + 1*sqrt(378))) - sqrt(378))*-5)\/((sqrt(486) - (sqrt(486) - 1*sqrt(486))) + sqrt(6)*1*-5).\nAnswer: -45*sqrt(7)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*s + 68*s + 32*s**3 + 71*s - 260*s + 6*s**3.\nAnswer: 38*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -918322*v**4 - 17049*v wrt v.\nAnswer: -11019864*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one quarters of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -17. Calculate the lowest common multiple of u and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163842078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -65*n + 425. Calculate d(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = -4*v, 4*v - 2 = -2*w + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256366197 a multiple of 3381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72441607 divided by -608753?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 8:23 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0616 - 0.0617139. Round s to 6 decimal places.\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.22 - 29.7. Let r = d + -0.67. What is r rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -362*l**2*y**6 + 6*l**2*y**2 + 20*l**2 - 10*l*y**3 + 170*l*y**2 - 2*y**2 wrt y?\nAnswer: -43440*l**2*y**3 - 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2435*d + 2425*d - 160 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1249 + -1249.5. Let m be 1 + -1 + 4\/14. Which is the third smallest value? (a) i (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 463 - 462.789. Let k = 0.011 - z. Let i = 12\/11 - 25\/33. What is the fourth biggest value in k, i, 1, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:06 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {l: 2, v: 7, a: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a + 2. Let i be y(2). Let c be 4\/(-30) + 172\/(-60). Let m(h) = h**2 + 3*h + 1. Let t be m(c). Sort i, 4, t.\nAnswer: i, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 555\/7. Is -17 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 20*b**3\/3 - 6. Let o(m) = m. Calculate o(j(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1970460722*i - 405*i**2 - 1970460722*i.\nAnswer: -405*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6533*y**2 + 8154*y - 4 wrt y.\nAnswer: 13066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 251790819.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = 0, -4*t - 4 = -i + 8. Which is the fourth biggest value? (a) 5 (b) t (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -132, -171, -208?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.91636 micrograms in grams?\nAnswer: 0.00009191636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5\/7 - 27*v**4\/7 + 381*v**3\/7 + 2691*v**2\/7 + 594*v = 0. Calculate v.\nAnswer: -14, -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 164446 (base 8) in base 3?\nAnswer: 10000212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(576)\/sqrt(2) + sqrt(8)).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 804\/13 or 63?\nAnswer: 804\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by -2.\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obt when three letters picked without replacement from {p: 13, o: 2, b: 3, t: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f + 3. Let n be 0\/(-2 - -4)*1. Let y be m(n). Solve -3*j - 5*u - 11 = 0, y*u = 2*j - 0*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**2 - 2*s**2 + 0*s**2)*(5*s**2 + 0*s**2 - 11*s**2) - 5*s**4 + 2*s**4 + 4*s**4 to the form v*s**3 + b + h*s**2 + a*s**4 + z*s and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 + 375*f - 359*f + 71 - f**2 - 184.\nAnswer: -f**2 + 16*f - 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16*(-7)\/7)\/((-1)\/25). Round x to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -928? (a) -3 (b) -0.3 (c) 7.3 (d) -4\/7 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(112))**2 - (sqrt(14) + (sqrt(42) - (1*sqrt(42) - sqrt(42) - sqrt(42)))\/sqrt(3))\/(-1*sqrt(128) - sqrt(2)).\nAnswer: -112 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 44 + 148. Suppose -z*m + 15*m = -6259. What are the prime factors of m?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 373.9924 millilitres?\nAnswer: 0.3739924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/11038 + -590497\/132456. Calculate the common denominator of 47\/9 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1 - -5) + 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (-20)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 1)*(3 + 5 - 3) + 1 + 0 + 0)*(-a - 4*a - 5*a) as n + x*a and give x.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 - -101. Let i be ((-40)\/1)\/(2 + (-25)\/a). Suppose 3*n - 4*w = 201, -3*n - 3*w + 100 = -i. Calculate the lowest common multiple of 5 and n.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17744\/(-5545)*30\/(-4)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let v be ((-42)\/(-7))\/(-1)*(4 + -5). Factor -v*u**2 + 0 + 9*u**g - 6*u**4 + 3\/2*u + 3\/2*u**5.\nAnswer: 3*u*(u - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 4*g - 52 = 0, 6*k - 2*g = 8262 - 8284 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - 7*w - 7. Let l(r) = 70*r**2 - 60*r**2 + 1 + 2 + 3*r - 9*r**2. Determine -2*f(c) - 5*l(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = o + 2*r, 2*o - 8 = o + 3*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-5 - 2) + 2 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.57 in 5, 0.53, 4, -1?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41275988.\nAnswer: 2, 13, 793769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 4. Suppose -99 = 5*o - 2*o. Let j be (-1 - o\/6)*-2. Is m(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 10 = -f, -3*f + 2*f + 2*j - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1479 divided by 87?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5.7. Let n = 4.7 - c. Let q = 1017\/16 + -5101\/80. What is the third biggest value in q, n, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157833 is divided by 4383?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 n, and 1 t when three letters picked without replacement from ynmymyyamyxttty.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3447 + 3461. Solve 28\/5 - r*n**2 - 78\/5*n = 0 for n.\nAnswer: -7\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kssisiffs. Give prob of picking 1 i, 1 f, and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 976*g**3 - 1953*g**3 + 979*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/3)\/(15\/(-18)). Let v = 2.854 + 0.246. Let h = -3.4 + v. Sort b, h, 2\/9 in decreasing order.\nAnswer: 2\/9, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swyjt. Give prob of picking 1 s and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.86226 tonnes to milligrams.\nAnswer: 41862260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 148783?\nAnswer: 1934179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4 + 21*i**3 + 123*i**2 + 112*i - 36 = 0 for i.\nAnswer: -2, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -27, 0.4, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 713, 1596, 2833, 4424, 6369, 8668?\nAnswer: 11321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -491 + 4724*d**3 + 4740*d**3 - 9463*d**3 - 4*d**2 as u*d**3 + k + h*d + q*d**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**15*u**(-19))\/((u\/u**(-19))\/(u\/u**10)) assuming u is positive.\nAnswer: u**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -98*j + 246. What is the thousands digit of q(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4\/k*k\/k**(-1\/8))**(2\/87))**(2\/23) assuming k is positive.\nAnswer: k**(11\/1334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -4785e4?\nAnswer: -4785e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/189 and 24.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 10*u**2 - 13*u - 13. Let i be j(-11). Let a = -5 - i. Let m be (a\/(-35))\/((-2)\/(-10)). Solve -m*t - 5*c + c - 26 = 0, 14 = 2*t - 4*c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3472*m = -25683*m + 1310449 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3962\/15 + 264. Let s = 0.5 + 0.1. Let g = s + 2.4. Which is the nearest to -1? (a) j (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1340833 and -12960182.\nAnswer: -11619349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 12251.6 centuries?\nAnswer: 1225.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let v be l(5). Suppose -v*r + 5*n + 0*n + 30 = 0, 5*n = r + 2. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 2\/39, -4, 1\/3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 287*b*l**2 - 82*b*l - 2*b + l**3 + l**2 + 3*l - 1 wrt l?\nAnswer: 574*b + 6*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**6 - 1 + 1 - 78*d**2 + 47*d**2 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47758030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b - 37. Let l be j(10). Solve 0 = -4*h + n + 18, 13 = l*h + n - 2*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 0, -3 in decreasing order.\nAnswer: 17, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42162 divided by 274.\nAnswer: -21081\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339668?\nAnswer: 2, 7, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjl when four letters picked without replacement from jjlj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1656\/(-96)*4)\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1168.914*0.16\nAnswer: 187.02624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260471.996 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/(-8) + -5 + 5071\/44 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.13 (b) 8 (c) 1 (d) -5 (e) -0.3 (f) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.3 (b) 3\/17 (c) -3 (d) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t - 3 = 0, 5*f - 2*t = -24. Calculate the remainder when f\/(-9)*(-225)\/(-3) is divided by (12 - (-40)\/(-10)) + 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 18. Let v = k + 13. Which is the third smallest value? (a) -2 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (281670\/(-990))\/41 - 4\/66.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/10 (b) -19 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 93.5406 and -379.7.\nAnswer: -286.1594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, -4, -2150?\nAnswer: -2150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 i when three letters picked without replacement from iyiyaaiiyiiiyaaii?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199247709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/15)\/(6\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2769*m + 77. Is s(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214.1448 + -0.8052. Let j = -215 - p. Are -21 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let k(v) = -2*v**2. Let r(m) = 3*k(m) - 2*q(m). Let n(i) = i**2. Calculate r(n(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 7*n**2 + n + 9. Let k be w(-7). Suppose 0 = -k*d - d + 3*x - 93, 0 = d - 5*x + 35. Let t be (2\/(-6))\/(2\/d). Sort -4, t, 2 in decreasing order.\nAnswer: t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3*-2)\/((-361)\/((-15523)\/(-1806))).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + s - 1)*(11*s - 58 + 58)*((3 - 1 - 4)*(2*s**3 - 3*s + 3*s) + s - 3*s + s**2 - 345*s**3 + 348*s**3).\nAnswer: -11*s**5 + 11*s**4 - 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(75) + sqrt(33))\/(sqrt(1100) + sqrt(1100)*-2).\nAnswer: -3*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48, 104, 174, 264, 380, 528?\n\"Answer: p**3 + p**2 + 46*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/7 + 152967*h\/7 = 0. What is h?\nAnswer: 0, 50989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 1\/2 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1661+0.6843\nAnswer: 1661.6843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 26*i**3 - 3*i**2 - 76*i + 308. What is the lowest common multiple of o(4) and 2700?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.9 (b) -1 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -6*a**3 - 423. Let o(x) = -9*x. Determine y(o(w)).\nAnswer: -1458*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717.6138l to millilitres.\nAnswer: 717613.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**4\/8 + 7*t**2. Let q(s) = 3*s. Give x(q(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 306 + -312. Let p(r) = r + 2*r + r - 1 + r**2. Determine p(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 19*v - v. Solve 2*b + b = -v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/7)\/l)**(9\/10)\/((l\/(l*l**16\/l))\/l*l**(-4)) assuming l is positive.\nAnswer: l**(709\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -z + 24, 60*o = 4*z + 64*o - 64. Which is the closest to 0.3? (a) z (b) 0 (c) 3\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/114*(11 + (-323)\/34)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -36*y + 10 + 13 + 14 - 36. Suppose -4*s - 7 = w, -19 = 2*w + 3*w + 4*s. What is the units digit of l(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*l + 11746800, -10*s + 31*l - 29367000 = 29*l. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 18*m = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148618 (base 16) in base 6?\nAnswer: 44455024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4865*k**3 + 10*k**2 - 5*k + 5. Let c(n) = 4864*n**3 - 8*n**2 + 5*n - 4. Let x(g) = 3*c(g) + 2*o(g). Is x(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3120321 (base 4) to base 11\nAnswer: a47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -11. Suppose -n*i - 4*q + 23 = 2*i, -5 = -5*i + 5*q. Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w - 148*w = -280*w + 1254 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + 2*b + (-1 + 0 + 0)*(2*b - 4*b + 0*b) + b + 2 - 2 + 16 + 3*b - 16)*(b**4 - b**4 - 2*b**4).\nAnswer: -16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/28453, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnwnnnnnnnnrrnnrw. What is prob of picking 1 r and 2 n?\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(132)*-3)\/sqrt(12))**2 - (-2*sqrt(275) - sqrt(11)) - (4 + (2*sqrt(88))\/sqrt(2)).\nAnswer: 7*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -501 + 603. Let i = 94 + t. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/3 - 16\/3*o + 2\/3*o**2 = 0. Calculate o.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*m + 227 + 124 = 29 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-332)\/90 - -2)*155\/(-31). Let y(j) be the first derivative of j**2\/2 + 15*j - 5. Let u be y(-6). Is z less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15470*p + 746*p - 11051*p**4 + 118*p wrt p.\nAnswer: -132612*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 * 101.\nAnswer: 161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/7))**45*c**24*c*c*c**23 assuming c is positive.\nAnswer: c**(568\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 159531509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3017 - 6*c - 16*c + 2877 - 5*c. Does 63 divide f(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 128*n - 1400. Calculate y(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2715 - 2715.1. Let q be (-302)\/(-18) - (-8)\/36. Which is the closest to m? (a) q (b) -3 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 4}. Give prob of sequence aa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = 4*b. Let s = -291 + 871\/3. What is the nearest to s in 2, 1\/2, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1103 or -32\/1553?\nAnswer: 1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/7 - 458460*i\/7 - 523936 = 0. What is i?\nAnswer: -229222, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)*4\/4. Let g be 2\/(r + 4)*12. What is the highest common factor of g and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(208))\/sqrt(4).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 22703?\nAnswer: 3\/22703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -9*g + 1\/2*g**2 - 1\/3*g**3 + 0. Let k be c(0). What is the greatest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6330 - -6334. Is 0.624 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 7, -19, -63, -131, -229, -363, -539?\n\"Answer: -k**3 - 7*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001632 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/sqrt(6) + 1)*6 + ((-2*sqrt(245) + -4)**2 - sqrt(245))*-4.\nAnswer: -3978 - 402*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9248 + -19. What is the greatest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjg when three letters picked without replacement from {j: 5, w: 8, g: 3}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*w - 48*w + 84*w + 5 - 5.\nAnswer: 110*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t + 0*t)*(-129*t + 361*t - 137*t)*(-2 + 1 - 1).\nAnswer: -380*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -210517, -420993, -631361, -841567, -1051557?\n\"Answer: 9*v**3 - 210539*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -1d?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11523303 + -10011?\nAnswer: 11513252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose a - 1 - v = 0. What is the third smallest value in a, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b1 + 19?\nAnswer: 70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 19*j**4\/24 + j**3\/3 + 114*j**2 - 26*j. Let i(p) = -56*p - 5. What is -3*i(l) - 8*s(l)?\nAnswer: 16*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 - 1 = -5*c, 5*k = -2*c + 6. Let b(z) = -z**3 - 2*z**2 - 2*z - 2. Let t be b(c). Let 1\/5*h**t + 0 - 1\/5*h**4 + 0*h**3 + 0*h = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(3 + -1)\/18. Is 0 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10282724 times -16?\nAnswer: 164523584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3*y - 435*j**3 - 61*j**2*y - 1233*j + 48540*y - 9 wrt y?\nAnswer: -j**3 - 61*j**2 + 48540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 44 + 1 + 1 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 2:16 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*c**3 + 0*c**2 - 2*c**2 + 361*c**3.\nAnswer: 661*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**5 - 137*r**3 - 81*r**2 + 2 wrt r.\nAnswer: 60*r**2 - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -22750.31\nAnswer: -20475.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -99332011, -198664026, -297996041, -397328056?\n\"Answer: -99332015*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 747959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 56 = o. Let j be (11 - 4)*6\/o. Suppose 0 = 8*d - j*d - 16. Solve g + d = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6*1726\/64725\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341840 and 199120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 883 + -873. Calculate the lowest common multiple of 990 and v.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*r**3 + 22*r**3 + 70*r**3 + ((-2 + 0 + 3)*(0 + 1 + 0) - 1 + 4 - 1)*(0*r + 0*r - 2*r**3).\nAnswer: 124*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose -12 = -2*r + 2*b, 4*r + j + 0 = -3*b. What is the third derivative of -9*s**2 + 2*s**2 - s**3 + s**3 + r*s**4 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaeeaueeaeavuevweau. Give prob of sequence av.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -323757 + 323756.838899. Let y = 62 + -61.839. Let v = g + y. What is v rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 6 = 3*i + i, 4*m - 28 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*n + 3136 - 248 + 2029 = 0 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_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 -4*l = -0*l - 96. Suppose -l = -3*a - 3*k, 2*a - 28 = -0*a + k. Solve x = -4*c + 3*x - a, 5*c + 2*x + 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-19)*t*t)\/t*(t*t**(-7\/3)\/t)\/t assuming t is positive.\nAnswer: t**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -262500116*v**4 + 112746189 wrt v?\nAnswer: -1050000464*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (-16)\/(-3))*(65\/20)\/(-13).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 2*t - 3. Let r(i) = -i**3 - 17*i**2 - 28*i + 26. Let l(q) = 5*q + 30. Let o be l(-9). Let m be r(o). Determine n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1853*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.7*0.4.\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 4\/7337423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 4*a + 22. Let s(y) = y**2 + 4*y - 21. Let j(o) = 5*c(o) + 6*s(o). Let d be j(-7). Suppose 180 - 20 = d*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295531 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a hour?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*g - 2*g. Let p(t) = 6*t - 3. Let s(d) = 9*d - 5. Let l(k) = g*s(k) - 8*p(k). Does 6 divide l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/1964 in 3, 0, 5, -1\/3, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 41200 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/26 - (-592)\/(-208) - 2. Let l(a) = -2*a + 4*a + 0*a + 4. Determine l(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 + 421*g + 3934. Give w(-9).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-92)\/6)\/((-3)\/18). Suppose -5*o - w + 152 = 0, k = 4*o + 3*w - 34. What is the greatest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 13*g - 9*a + 6*a + 5*a, g - 6 = -0*g - a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19179520 divided by -3835904.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 3*p + 4*p)*(15 + 14 - 6).\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = 0. Suppose v = 5*r - 0*r. Suppose r*q - 3*q + 3 = 0, 4*o - 7 = -3*q. Solve -2*j + 0 = -3*x - o, 0 = -2*j - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 5 (b) -3 (c) 9 (d) -8\/3 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -7*z**5\/60 + z**4\/4 - z**3\/2 + 7*z**2 + 30*z - 3. Let q(r) = 7*r**2 - 5*r + 2. Determine -2*l(f) - 3*q(f).\nAnswer: -7*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a - 10 = -p, 0 = -2*p - a + 16. Suppose -4*s + 66 = -p. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 72. Put -8, s, 5 in ascending order.\nAnswer: -8, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (662*g - 287*g + 293*g - g - 1 + 1 + (-3 - 3 + 4)*(-3 + 2*g + 3))*(4*g + 5 - 2*g - 2).\nAnswer: 1326*g**2 + 1989*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*r, 3*r = 16*u - 13*u - 1197. What is the highest common divisor of u and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h + 1. Let o be r(-1). Let u(k) = k**2 + k. Let p be u(o). Suppose p*f - 32 = f. Solve -f = -5*y - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1024364.03 to the nearest 10000.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.8 - -43. Let i be (-5)\/3 - (-2)\/3. What is the closest to i in -0.1, t, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-88) - (-284004)\/18216.\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3*o + 18, 2525*o = 2522*o - 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 22*x**2 + 115*x + 65. Give p(-26).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 166934407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12\/11))**(-8\/3)*(y*y**15)**10 assuming y is positive.\nAnswer: y**(1792\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*x**6 - 2*x**5 - 78*x**2 wrt x?\nAnswer: -2760*x**3 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 936 divide 73483488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 634, 4, 3, 1, 2, -429 in decreasing order.\nAnswer: 634, 7, 4, 3, 2, 1, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2211874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 397.6324g?\nAnswer: 397632400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 87\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -158*o**2. Let g(y) be the third derivative of -y**4\/3 - 3691*y**2. What is v(g(q))?\nAnswer: -10112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45971 > 45967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 1. Let a = -305 - -310. Suppose -a*s = -2*z - 16, 5*z = -5*s - 2 - 3. Let o(b) = 1 + 3 + 2*b**2 - b**3 - 8 + 2*b**2. What is s*o(g) + 9*y(g)?\nAnswer: -2*g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672075473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 2)*((-4 - 3 + 5)*(-7*j + 2 - 2) - 5*j + 0*j + 3*j + 0 + 0 - 2*j + (-1 + 0 + 0)*(4 + j - 4)).\nAnswer: 45*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1808 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = -0*u. Let r(s) = 3*s - 1. Let j be r(1). Put u, 1, j in descending order.\nAnswer: j, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {j: 2, v: 4, s: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 55. What is the closest to 2 in -1\/3, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1370)\/(-270) + 16\/(-216)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26604 times 142?\nAnswer: -3777768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -664.72 rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/17500 and -21\/100?\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7000 - 2667. Suppose 0 = -5*r + q + 4206, -970 = 4*r + q - n. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) 5 (b) -117\/11 (c) 153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 844a5 (base 15) in base 10?\nAnswer: 419555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59\/66 + -5\/22. Suppose -4*p - 7 = 1. Let q be 4\/(-18)*9\/(-12). Which is the closest to v? (a) 1 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21144476 - -4\nAnswer: -21144472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 0*i**3 + 0*i**3)*(20*i - 16*i - 11*i)*(i + i + 0*i) - 4*i**5 + 5*i**5 + 0*i**5 + (0 + 2*i + 0)*(2*i**4 + 4*i**3 - 4*i**3).\nAnswer: 19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -2*w - 26. Calculate the greatest common divisor of 351 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4157957647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2609030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from {r: 1, s: 4, d: 1, n: 1, g: 3, p: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3402891 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -740*n + 25497. Calculate p(32).\nAnswer: 1817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/3))**(2\/7)\/(o\/(((o*(o*o**(-5)*o)\/o)\/o*o)\/o)*o\/o**(-2\/9)*o*o))\/((o**(-1)\/o**6)\/((o\/(o*o**(1\/6)))\/o**6)) assuming o is positive.\nAnswer: o**(-919\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 396.0284375 minus 3.94?\nAnswer: 392.0884375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -5. Suppose j - 3*b = r, 3*j + j - 5*b = 11. Let k = -5\/7 + 27\/28. Does k = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(475) + 2.\nAnswer: -10*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140 + 140. Suppose 4*q - 9*q + 55 = x. Calculate the remainder when 40 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22860)\/(-432) + -54 - 4\/6.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)\/(s*s**(-1\/8)))**(-40)\/((s**(-1\/4))**(-1\/18))**(-38) assuming s is positive.\nAnswer: s**(959\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o - 2. Let d be b(2). Let n = 22 - d. Suppose 5*k + 49 = 349. Calculate the highest common factor of k and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**3 + 2*s**2 + 1. Let h = 9 + -11. Let b be z(h). Suppose 0 = 3*v + 5 - b. Solve -v = -4*j, g + 2*j - 9 = -0*j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -1 (c) -0.44 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**3 - 9*x**2 - 4*x - 15. Let a(d) = d**2 - 25*d - 258. Let j be a(33). Is y(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6099 greater than or equal to 2183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -65.7. Let g = 0.04 - 0.07. Which is the nearest to h? (a) g (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498358036.\nAnswer: 2, 11, 11326319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 673464 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 275007 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 5, -4207, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/27 + 93\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -261*(-80)\/(-6)*(-50)\/125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5984976 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4760\/(-2856)*(-369)\/60?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 234?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -40. Calculate the least common multiple of 18 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -180 and -0.17?\nAnswer: 179.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {n: 3, d: 1, j: 8, e: 2, o: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((6 - -3 - (2 + -7)) + -6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -4, -0.1, -18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*i**3 - 2 - 998*i**2 - 76*i**3 + 224*i**3 wrt i.\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29, -19, 25, 121, 287, 541, 901, 1385?\n\"Answer: 3*c**3 - c**2 - 8*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -5320\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3634954.\nAnswer: 2, 37, 49121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2) + 2)*-2. Let u(r) = -r**3 - 3*r**2 + 3*r + 1. Let a be u(-4). Let j(x) = -a*x + 2*x + 2*x - 3 + 7. Let k(l) = -1. Give c*j(n) - 2*k(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1061954566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:40 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - g + 114, -228 = w - 3*w + 2*g. Let z be ((-2)\/(-6))\/(2\/w). Suppose -z + 3 = -4*t. Solve 3*r - 5*h = -r + 19, -12 = t*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 93\/217 + (-133)\/196\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2527*z**2 + 8*z. Let x(h) = 160043*h**2 + 507*h. Determine 507*u(p) - 8*x(p).\nAnswer: 845*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2048317, -2048337, -2048357, -2048377, -2048397?\n\"Answer: -20*c - 2048297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**7\/105 + c**6\/30 + 17*c**5\/30 - 3*c**4\/2 - 24*c**3 + 8697*c**2. Suppose f(q) = 0. What is q?\nAnswer: -3, -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 131 = -4*z. What is the closest to z in 2\/7, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, 3, 2\/9, 0.1.\nAnswer: -129, 0.1, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -10*o**3\/3 - 135449*o**2\/3 - 401565*o + 40608 = 0.\nAnswer: -13536, -9, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.9 - -61.095. What is s rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 14. Let p be y(7). Let q = p + 5. Calculate the smallest common multiple of 22 and 8*((-13)\/(-4) + q).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -26, -2\/23, -2 in decreasing order.\nAnswer: -2\/23, -2, -12, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7302, 29248, 65824, 117030, 182866, 263332, 358428?\nAnswer: 468154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 21 - 43 = 0. Calculate the remainder when z is divided by 178\/8 + 3\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -179*q - 7688. Let z be v(-43). Solve -3*a + z = -2*h, -4*a + 15*h - 10*h = -19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 1 n when three letters picked without replacement from nncnnzmzzzcnnnn?\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-40))\/(17\/(-136))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*j + 141, -3*w + 4*w - j = 36. Suppose l - 17 = 4*u, -5*l + 3*u = -w - 46. What is the highest common divisor of l and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20843 is divided by 274.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 7. Suppose -4*a + 14 = 6*y - 4*y, 0 = -5*a - 4*y + 22. Let i be a\/6*(-2 - -20). Let u be t(i). Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 b, and 1 t when four letters picked without replacement from bcoot?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:37 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (45\/(-25))\/(-3) + (-26)\/10. Calculate the common denominator of -41\/8 and 2\/(-18)*(u - -1)*-43.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11012638 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 247665.9 litres in millilitres?\nAnswer: 247665900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41096\/7 - 5884. Is -14 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 24*i**2 + 31*i - 182. Determine q(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1939 * -0.44304\nAnswer: 859.05456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -12*o - 2*i + 366, 0 = -o - 5*i + 87. Calculate the smallest common multiple of o and 320.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/23 (b) -1 (c) 2\/1219 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50 + 19*q**2 + 50)*(-510 - 454*q**2 + 510) + 2*q**4 + q - q in the form d*q + v + c*q**3 + y*q**2 + o*q**4 and give o.\nAnswer: -8624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.5 (c) 2 (d) 0.3 (e) -0.089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and 11050.\nAnswer: -209950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163809921 and 341.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.054 - 58101451.\nAnswer: -58101450.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246467641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76613.779 rounded to the nearest one hundred?\nAnswer: 76600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 48. Calculate the remainder when 0 - -1 - 18\/(-2) is divided by (m\/15)\/((-3)\/(-5))*9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 85.42332 and 217798?\nAnswer: 217712.57668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 = -7*n + 591. Let a be 28*40\/30*n\/(-8). What is the greatest common divisor of a and 336?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 46. Let a = 1.94 - 1.87. Let p = 33\/2 - 15. Put f, a, p in descending order.\nAnswer: p, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1795 - -1796. Let z(d) = -35*d + 31. Determine z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4687952 to the nearest integer?\nAnswer: 2165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.005? (a) -10 (b) 4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4620 and 95\/168?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98346.19 rounded to the nearest ten?\nAnswer: 98350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-175 - -162 - (-16 + 0))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*m**3 + 4593*m**2 - 746575.\nAnswer: -168*m**2 + 9186*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3315\/802 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54111*q + 32*q**2 + 3*q**2 - 54111*q.\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53795227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 810 = 71*l - 255 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 85\/(-165) - (-4)\/22.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 3. Let j be g(-8). Let y(m) = -m + 11. Let n be y(j). Suppose 2*p - 16 = -n*p. Solve -3*i = i + p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39484179 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-6)\/(-4404)). Suppose -2*v + i + o = 2*v, v = 5*i + 68. Let a = 835\/9 - v. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 29277.\nAnswer: 146385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(8\/6))\/((-72)\/64). Let p = -101.3 + 101. Which is the nearest to -2? (a) p (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.08 + -4.68. What is the fourth smallest value in -1\/5, -0.5, -126, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -157827*(-10 - 464\/(-48)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10970407527\/44 - -249309644. Let v = -17799 - f. What is the common denominator of v and 1\/204?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55.112 - 0.112. Let z = m - 30. Let t = z + -24. Which is the closest to t? (a) 3 (b) -2\/19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41\/230 - 1\/46. Suppose 4*n = 10*n + 24. Let u = 4 - 7\/2. Which is the nearest to u? (a) f (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0\/(1 - 2). Let p(q) = z*q + 0*q - 3*q. Let k(a) = 3*a. Give p(k(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 830, 1661, 2498, 3347, 4214, 5105, 6026, 6983?\n\"Answer: i**3 - 3*i**2 + 833*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 200.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(26)\/(sqrt(2) + (sqrt(2) - (sqrt(2) - (-1*sqrt(16))\/sqrt(8)) - sqrt(2)))*-1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0.19636783?\nAnswer: -1.19636783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3000321 (base 5) to base 2\nAnswer: 1011011101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*q - 2 = 0, 5*q = -4*w - 5 - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 - 375*t**4 - 1170*t**3.\nAnswer: 5*t**3*(t - 78)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14295.\nAnswer: 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 28. Calculate the least common multiple of (20\/4 - 4) + 11 and j(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/37)*p**(1\/4)\/p assuming p is positive.\nAnswer: p**(-103\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(-68 - -6). Let m = 42 - a. Let k(y) = -y**2 + 10*y + 13. Let v be k(m). Solve -3*j + 4*b + 2 = 8, -j = -4*b + v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**4\/12 - 5*a**3\/6 + 2*a**2. Let b be (-1*1)\/(4\/(-16)). Calculate the remainder when 7 is divided by m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2. Let y = 5 + -1. Let l(x) = x - x + y*x - 3*x. Determine l(h(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74459 is divided by 203.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 870685 in decreasing order.\nAnswer: 870685, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 16) in base 10?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + 3*3*((1 + sqrt(832) + 2 + sqrt(832) - sqrt(832)) + (0 + sqrt(832) - sqrt(832)) + 2) + 1 + 3.\nAnswer: 49 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2453, 3951, 5441, 6923?\n\"Answer: -4*c**2 + 1510*c + 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -4892?\nAnswer: 4890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/27*(-18)\/8. Let l = -2\/73 + 77\/146. Factor 0*w**2 + l + w - w**b - 1\/2*w**4.\nAnswer: -(w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 42657*c + 2385662. What is f(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3297.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let l(u) = -2*u - 2. Let o(z) = l(z) + 4*x(z). Give o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**2 - j - 5. Let p(k) = 6*k**2 + 257*k - 49. Let z be p(-43). Let a(h) = -8*h**2 + h + 6. Determine z*a(t) - 7*w(t).\nAnswer: -8*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 330.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = -28*r + 33*r, 5*m = -r + 13. Solve -m*x - 368 = 4*y - 364, -y = -3*x + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(16\/12)\/(-2). Suppose -f*v + 447 = -v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 79*l + 30. What is the units digit of u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2 - 2. Let a(u) = 3*u**2 - u - 2. Let w(c) = c**2 - 1. Let s = 28293 + -28295. Give s*w(d) + t*a(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 2:26 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000 (base 4) to base 9.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 7*u**2 - 6*u + 3. Let n be y(-6). Suppose -3 + 4 = o. Calculate the greatest common factor of n and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.100003 + 3.1. Round t to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 + -8. What is the remainder when d is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63746 (base 8) to base 16.\nAnswer: 67e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 20*f - 9. Let s(k) = -3*k**2 + 15*k - 15. Let x(c) = c**2 - 2*c + 3. Let a(h) = -s(h) - 4*x(h). Let z = -7 - -1. Give z*r(o) - 17*a(o).\nAnswer: -o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*v - 4, 2*y + 3*v + 2*v = -18. Let f = -2.5 - 1.3. Let g = -1.2 + f. Put 5, y, g in ascending order.\nAnswer: g, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578021 = -6*t - 86021. Suppose -t = -r + 6*r. Round r to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(3\/11)*t*t)*t**(-5\/6))\/(t**(-7\/3)*t**(-6)))**(-28\/5) assuming t is positive.\nAnswer: t**(-1918\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3360888?\nAnswer: 2, 3, 46679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -453 + 466. Suppose 0 = -z + 5*c + 46 - 0, 4*z = -2*c + 96. Let a = z - o. Calculate the greatest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1511 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/(-10)*(-4)\/6. Let y = 726.5 + -726. What is the fourth biggest value in r, 4\/5, y, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*o = -38. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6 + -3.682. Let q = -6.718 + z. Let n = -6.79923 - q. Round n to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14813, -34970, -60473, -91322?\nAnswer: -127517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 1. Let f(y) = -2*y**3 + 2. Let t = 152 - 151. Calculate t*f(s) - 2*z(s).\nAnswer: -2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3982 + -3987. Let y = -7 - -5. Which is the nearest to -0.2? (a) 3\/2 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187522.\nAnswer: 2, 93761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*k**2*v**2 + 18532*a**2*r**2*v - 5*a*k**2*r*v**2 + a*k**2*r + 33*a*k*r**2*v**2 - 2*r**2*v**2 wrt a.\nAnswer: 4*k**2*v**2 + 37064*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 9*q + 15. What is the remainder when 404 is divided by s(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3 + 229083*g**2 - 2290755*g + 5726825 = 0.\nAnswer: 5, 229073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3*p**2 - 7*d**3*p - 2*d*p**3 + 3*d*p**2 + 55*d + p**3 + p - 2 wrt p.\nAnswer: -4*d**3 - 12*d*p + 6*d + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1. Let n(k) = k - 18. Give 3*f(x) - n(x).\nAnswer: -x + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 15*u**2 + 28*u + 4. Determine q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 212*i**2 - 200*i - 12.\nAnswer: 4*(i - 1)*(53*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from libcccglcglc. Give prob of sequence ccc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.576824 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 0 in ascending order.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 6*u + 4. Let t be b(-6). Suppose 1 = -c - h, h = -2*c + t*h + 23. Let p be c - 1 - (-1)\/(-1). Solve 5*n + p - 27 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.98856 hours in minutes?\nAnswer: 539.3136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119 + -3.3641306.\nAnswer: 115.6358694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 6*g - 4. Let q be a(-5). Suppose 0 = w + 1 + q. Let l(c) = -3*c - 1. Give l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38127 and 21?\nAnswer: 266889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 47*t + 119. Let j(a) = -a**2 + 48*a - 121. Let m(c) = -3*j(c) - 2*k(c). Factor m(x).\nAnswer: 5*(x - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1475 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/20)\/(-9)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - 1. Let a = 0.3437 + 0.0563. What is the fourth biggest value in a, -1\/20, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114056612 (base 7) to base 10.\nAnswer: 7073306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 88071646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 17. Let n = 5 + z. Suppose -n*m + m + 54 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -922*x + 47945. Determine v(52).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + 6*((sqrt(425)*-1*5)**2 - (sqrt(425)*-2*4)**2)*-1.\nAnswer: 99453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 5458375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 + 2192122*q - 26305176 = 0. What is q?\nAnswer: 12, 1096049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -24*k + 10. Let u(w) = 13*w - 6. Determine -6*i(f) - 11*u(f).\nAnswer: f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/3 + 1162364*x - 506658775686 = 0. Calculate x.\nAnswer: 871773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 60 = -2*u - 2*m, -5*m + 96 = 3*u. Let y be 372\/u + 2\/9. Solve 4*n = -2*s - 10, -4*n - y = n + 4*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6015*s**5 - 1359384*s**4 + 75432759*s**3 + 155045706*s**2 + 78325524*s + 77976 = 0.\nAnswer: -1, -2\/2005, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 2\/155, -0.1, 1.2, 4, -8.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a - 3*a**2 + 18*a + 5*a**2 to s + v*a + z*a**2 and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 17 + 7. Let w be -3 - (q - 36) - -4. Suppose 33 = 2*a - w. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15009 is divided by 3397?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 126. Let o be 2\/t*(-9)\/((-81)\/72). Let v(w) be the third derivative of -w**4\/8 + 5*w**3\/6 + 5*w**2. Calculate v(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Suppose 2*z = 6*z. Suppose 0 = 3*d - z*d - 6. Let l(r) = -d*r**2 + 4*r**2 - 3*r**2. Give c(l(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, l: 10}. Give prob of picking 4 l.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121\/(-363)*15\/250*(-18)\/(-9).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**4 + 9372*z**3 + 8154*z**2?\nAnswer: -24*z + 56232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 133, 258, 443, 694, 1017, 1418?\nAnswer: 1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -445*g + 445*g + 60 - 2880*g**5 - 91*g**2 + 84*g**2 wrt g?\nAnswer: -172800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/6967?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -28, -2535, -5, -16 in decreasing order.\nAnswer: 6, 5, -5, -16, -28, -2535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*c**2 + 30*c**2 + 31*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyz when three letters picked without replacement from ypssyptptygz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 13*l**2 - 4*l - 36. Calculate the remainder when 45 is divided by d(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.2 (b) -0.2 (c) -5 (d) -79 (e) 1\/163 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y + 203*y**2 + 2*y**3 + 4*y**3 - 243*y**2 - 4*y**3 as s*y**2 + z*y**3 + p*y + x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-108))\/(5\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, 2 in ascending order.\nAnswer: 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809477*p + 3219 - 3219.\nAnswer: 809477*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33231355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 4 - -289) + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13158817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245 - -249. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:16 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-88) - 26\/22. Let a(c) = -10. Let t(s) = -s - 1. Let k(n) = m*t(n) - a(n). Is k(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24589, -24579, -24555, -24511, -24441, -24339, -24199?\nAnswer: -24015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) - (1\/(-120) - -2). Let h(x) be the third derivative of 0*x + 1\/20*x**5 + 1\/8*x**4 - x**2 + 1\/2*x**3 + 0 + l*x**6. Give h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10706422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54984 and 140?\nAnswer: 1924440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 + -2 + 6) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:28 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1710 = -j + 6*w - 3*w, 5*w - 3343 = -2*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -71*g - 521. What is a(-2)?\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -6256?\nAnswer: -6258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + c - 1. Let t(f) = -108*f**4 + 2*f**3 + f - 29. Let a(g) = r(g) - t(g). Differentiate a(h) wrt h.\nAnswer: 432*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*c - 2*c = 4, -3*c + 13 = 13*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101 + 1011010011000110010?\nAnswer: 1011010010110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (-1 + 2 + -100)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 4*t**2 + 6*t - 1. Let r be y(5). Let i(j) = j + 1. Let m be i(r). Suppose -4 = -2*o + 4, 5*g - 35 = -5*o. Solve g*u + 2*u = m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -2*t**7\/735 + 23*t**6\/420 + 2*t**5\/5 - 47*t**4\/21 - 16*t**3\/3 - 2*t**2 + 942*t. Let j(a) = 0. What is a?\nAnswer: -4, -1\/2, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 223.914.\nAnswer: -22.3914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 - 3*w + 4. Let k be b(-4). Let a = -26 - -23. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p + 27. Let n = 0 - p. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 325941 and 0.1.\nAnswer: 325941.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2 - 111\/(-2)*(-4)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.0045 + -27. Round t to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(24\/940)*-2. Let z(y) = -235 - 5*y + s. Let g(w) be the second derivative of -w**3\/6 - 10*w. What is z(g(o))?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571942 is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*l - 25, 2*s = -4*l - 2*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.3 - -15.3. Which is the nearest to f? (a) 4 (b) -0.4 (c) 2 (d) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-341)\/33 - -11)*1208463\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 113*c + 10. Let r(s) = -58*s - 5. Let n(m) = 5*r(m) + 3*w(m). Let k(f) = -23*f - 2. Let g(i) = -7*k(i) - 3*n(i). Let z(j) = j. What is z(g(a))?\nAnswer: 14*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6179*t**5 + t**4 + t**3 - 10491*t**2 wrt t?\nAnswer: 370740*t**2 + 24*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + (-4 + ((1 + sqrt(612) - sqrt(612))*4 - sqrt(612)))**2).\nAnswer: -3684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 17*r**4 + 11 + (-19*r**2 - 29*r**2 + 22*r**2)*(2*r**2 + 3*r**2 - r**2).\nAnswer: -87*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*g - 414696 - 41024, -4*g - o + 455685 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43368.707 + -43368.725700239. Let p = 0.0187 + s. Round p to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -425.571522793?\nAnswer: 425.371522793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 347375123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 + 16*c - 7. Let p be m(-7). Let v be 7\/p*32\/(-6). Let a = -97\/12 + 31\/4. Sort 1, a, v in ascending order.\nAnswer: v, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 8:08 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = t. Calculate the remainder when 16 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*c + 1. Let b(z) = 6*z**2 - 11*z + 1 + 10*z + z**3 + 9*z**2. What is the smallest common multiple of b(-15) and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 16*x**2 - 66940*x - 1138268. Calculate f(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10623825 divided by 3?\nAnswer: 3541275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**3 - 20*i**3 + 38*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1308900 and 80.\nAnswer: 5235600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*r - 27, -26 = -i - 2*r - 2*r. Let k be 7\/(-6) + i\/6. Put k, -0.4, -3 in descending order.\nAnswer: k, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let b(i) = 126*i - 2. Give b(h(o)).\nAnswer: -252*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 131859341 to the power of 1\/3, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u + 202. Suppose 5*d - 33 = 3*c, 5*d + 5*c - 2*c = 57. Let h be t(d). Let n be 1\/2*18\/3. Solve 0 = x - n*f + 8*f - 24, h*x + 9 = f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/1*(-19)\/(95\/535) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70169418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 23 + 37 + -57.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a - -175?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -9*u**7\/70 - 17*u**5\/20 + 37*u**2 + 4*u. Let h(k) be the first derivative of q(k). Find the third derivative of h(b) wrt b.\nAnswer: -648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.4 (b) 10539 (c) 5 (d) 0.1 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 14*l - 5*i = -2638, 0 = l - 4*i - 868. Does 73 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -407. Suppose 4*x - 4*j = y, -4*x + 356 = x - 4*j. What is the highest common divisor of x and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v**2 - v. Let n(k) = 22*k**2 + k. What is 7*f(a) + 5*n(a)?\nAnswer: 5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15047, 15023, 14983, 14927, 14855, 14767?\nAnswer: 14663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95, -193, -305, -437, -595, -785?\n\"Answer: -z**3 - z**2 - 88*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 - 2*g**4 - 3*g**4 + (0*g + 2*g**2 + 0*g)*(-8014*g**2 + 12 - 8862*g**2 - 12) to a*g**4 + w*g**2 + n*g + o*g**3 + k and give a.\nAnswer: -33753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004199 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7930 = 4*n - 2*h, 5*n + 2*h - 9913 = 5*h. List the prime factors of n.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886 = 885*w + 1472 + 297 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110130222121 (base 4) in base 12?\nAnswer: 1966021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 1584*d**3 - 4728*d**2 + 4720*d - 1572.\nAnswer: -4*(d - 393)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 4*n - 561. What is the remainder when n is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*h = -0*h + 6, -4 = 2*t + h. Let l be t\/(-4)*(12 - 2). Solve l*s - 2 = -12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057591 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2270 - 2192.14. Let p = -79 + g. Let a = -1 - p. Is a < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31853, 127432, 286729, 509744, 796477?\n\"Answer: 31859*t**2 + 2*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: -20 (base 7) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 26*s**2 - 17*s + 3. Let o(p) = 17*p**2 - 11*p + 2. Calculate -8*o(t) + 5*r(t).\nAnswer: -6*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*n + 185 = -2*g, -90 = -2*g - 4*n. What is the remainder when g is divided by (-3 - (-1 + -8))*(-252)\/(-72)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56770371695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136217, -128482, -120747, -113012, -105277?\nAnswer: -97542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 56*d + 59 - 225, -m = -2*d - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3816059\/6 or 636011?\nAnswer: 636011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.1, -0.24, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.917358086 to 4 decimal places.\nAnswer: -0.9174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 36*v**2 - 31*v - 11. Let w(y) = 4*y**2 - 37*y - 4. Let c(f) = 3*f**2 - 16*f - 2. Let z(r) = 5*c(r) - 2*w(r). What is 2*l(k) - 11*z(k)?\nAnswer: -5*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let b = 76.01 - 75.01. What is the second smallest value in u, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142153 is divided by 10514?\nAnswer: 5471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x\/(x**(-1)*x*x))\/x)\/(x\/(x**(-12)*x)))\/((x\/(x*x**(-2\/5)))\/(x*x**(-2))))**37 assuming x is positive.\nAnswer: x**(-2294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:53 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 24*f**2 - f - 3. List the prime factors of b(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 16 = 20*d, w + 4*d = -7. Which is the nearest to 0.01? (a) w (b) 25 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfg when three letters picked without replacement from gffgggggfffffa?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/25)\/(((b\/(b*b\/(b*((b*(b\/(b**(4\/15)\/b))\/b*b)\/b)\/b*b*b)*b))\/b)\/b))**(3\/31) assuming b is positive.\nAnswer: b**(2\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 562?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9 - 172\/6. Let k = 80 + c. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 129*f + 2274. Let l be y(-108). Solve l*h = -2*h + 48 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100a2c (base 13) in base 3?\nAnswer: -200221200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -80205.58005 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2507596*k - 2 - 2507268*k + 2.\nAnswer: 328*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102318172 and 13952478.\nAnswer: 306954516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*r**2 - 1229 + 1229 + 253*r**2 as u*r**2 + t*r + n and give u.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 50\/(-4))\/(10\/340). Let i = -385 + z. Put 2\/33, i, 4 in descending order.\nAnswer: i, 4, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61586979370 and -5.\nAnswer: -61586979375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27292276 divided by -3638?\nAnswer: 7502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 6*a + 8. Let m(y) = y - 6. Let u be m(13). Calculate t(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46619 + 315.5\nAnswer: 46934.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 4:28 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1355362581+0.016\nAnswer: 1355362581.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - 23.94. Let l = u + 26. Which is the third smallest value? (a) l (b) 3\/8 (c) -9\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 110100?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**4 + 3*z**3 + 12*z**4 + 14*z - z**3 - 50*z**2 - 10*z - 3*z to the form h*z**2 + v + r*z + x*z**3 + l*z**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2744))\/(3*sqrt(72) - sqrt(8))*-1*-1)**2.\nAnswer: 343\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 10*a**2 + 10. Give k(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/34110 and 55\/52302.\nAnswer: 784530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 44*y - 7. Suppose 2*p = -2*u - u + 7, 3*p + 2*u - 8 = 0. Let z be (p - -1) + (-1)\/((-2)\/(-4)). Is d(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 18.3. What is the biggest value in 0.9, 1, x, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0661 + -2.0661. Which is the second biggest value? (a) z (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4378 = -3*d, -6*w = -0*w + 6. Calculate the smallest common multiple of d and 60.\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -858, -867, -882, -903?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 9. Suppose -2*j - r = -5*j. Let q = j + -1. Solve q*y = 5*b - 1, b - 4*y = -9*y - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/7, 1\/651, -3\/4, 8\/15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5927, 4, -5 in increasing order.\nAnswer: -5927, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11400 (base 6) to base 9.\nAnswer: -2240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 760605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let d(p) be the first derivative of 215*p**2\/2 - 76. What is d(z(y))?\nAnswer: 430*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8075627863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhilijjr. What is prob of sequence ji?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/42 and 3725\/(-450) - (1 + -7)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 1\/2*q**2 + 2*q**4 + 0 + 14*q - 1\/6*q**3. Let z(g) = -2*g - 3. Let d be z(-2). Determine u(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2834, 2776, -110, -5824?\nAnswer: -14366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 9*g**2 + 8*g - 13. Suppose -8*x = -3*b - 9*x + 26, 4*x = 5*b - 66. Give a(b).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-198073\nAnswer: -79229.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:20 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60631279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -11bacb?\nAnswer: 11bacc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 18*q - 1. Let b be x(-18). Let i be (3\/(-10))\/(924\/35). Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583333 divided by -59?\nAnswer: -9887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i = -4*c - 14, -6*c = 3*i - 54. Solve 0 = -2*l - i, -3*l - 8 = 3*v + 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5*(-11)\/(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -3*y**6\/10 + y**3 + 445*y**2 - 658*y. Find the first derivative of v(h) wrt h.\nAnswer: -36*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 84*d**2 - 538*d + 171. Calculate a(-90).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let b(g) = -5*g**r + 9 + 4*g**2 - g + 5*g + 4*g. What are the prime factors of b(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f. Suppose -3*v = -v - 4*d + 4, -2*v + d - 4 = f. Is (-102)\/v*230\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1301882?\nAnswer: 2, 37, 73, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 562 and 8149.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 225484 to the power of 1\/2, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 + 123468*t - 123468*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -266, -951, -2298, -4529, -7866?\n\"Answer: -37*a**3 + 2*a**2 + 8*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0*m - 5*m + 2 - m + m**2 + 9. What is the tens digit of t(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-12)*(-24)\/(-180).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w + 875. Give p(58).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -176686 at most -176687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 - 8*t - 1. Let c be j(10). Is (-1 - 1)\/(6\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {q: 1, v: 2, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/5)*k*k)\/(k*k**3)*k*(k\/(k*k\/k**(-4)*k))\/k*k\/(k*k**(-5)\/k))\/((k\/(k\/(k*k*k**(-6)*k))*k*k)\/(k\/k**(-1))*k**(-1)*k*k**(-4)) assuming k is positive.\nAnswer: k**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(0 - (4 + -4)) + 3. Suppose -4*a + 2*b = -160, -186 = -5*a + 4*b + 14. What is the remainder when a is divided by (j + 11\/(-2))*28\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -371.7 + 388. Let u = n + -16. Which is the second biggest value? (a) -1\/26 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10587099 divided by -3529033.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1862854.7 rounded to the nearest 1000?\nAnswer: -1863000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 10311\/2 and 5156 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 1:02 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*h - 12*h - 14*h - 32*h.\nAnswer: -111*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6661069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -6. Suppose 0*l + 5*l + 35 = -5*y, 3*l + 5*y = -29. Let j = 1.1 - 0.1. Which is the closest to p? (a) j (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 302432*h**2 - 5715662260*h - 34304861976 = 0 for h.\nAnswer: -6, 37807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**7\/945 - 247*l**6\/540 - 367*l**5\/135 - 122*l**4\/27 + 31*l**2 - 61. Let h(z) = 0. What is z?\nAnswer: -244, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2774044.\nAnswer: 2, 7, 13, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(30) - (sqrt(30) - 6*(sqrt(30)*-1 + sqrt(30)))) + (sqrt(90) - (1*sqrt(90) - sqrt(90)) - sqrt(90))\/sqrt(3))\/(sqrt(160) + -1*sqrt(160)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.253224 - -2.36058227.\nAnswer: 2.10735827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 39 + 53\/14*k**2 - 2\/7*k**3 + 9\/7*k. Factor j(h).\nAnswer: -(h - 9)*(6*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7728595.\nAnswer: 5, 7, 439, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -145696.56\nAnswer: -58278.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 22802 + 6316 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 - 430. Let u = 227.000133 + x. Round u to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 3*a**2 + a - 3. Let b be g(3). Let l be (-2 + 2)\/(-1 - b). Let f(j) = -j - 4. Let p be f(-5). Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7702 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 6*q + 5. Suppose -3*p + 2 = -2*p + 2*t, 5*t = q. Suppose p = 29*g - 27*g - 2. Are g and -2\/81 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from okggpovvc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = 2*s - 2*p, s = -2*p + 8. Suppose -5*x - 2*z + 2 + 2 = s, 5*z = x + 10. Suppose -4*n + 6*d = 7*d - 3, -3 = -n + 2*d. Solve x = -r + 2 - n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-26 + 15)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/((-1976)\/(-5434))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11355 and 36799?\nAnswer: 48154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 2, 3, 0 in decreasing order.\nAnswer: 3, 2, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1481 + 1482. Calculate the lowest common multiple of k and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.2 - -4. Let p = 3.1 + s. Let c = 2.94 - 3. Put -0.2, p, c in decreasing order.\nAnswer: c, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 26, 872476, 1\/7 in increasing order.\nAnswer: 1\/7, 2\/13, 26, 872476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 18728530158117\nAnswer: 18728530158122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2357557769?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 3*r**4 + 3*r**4 - 3*r**4 + 2*r**4 + 0*r**4 + (4*r**2 - 2*r**2 + 0*r**2)*(-5*r + 2*r**2 + 5*r) + 2*r**4 + 0*r**4 + 0*r**4.\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 + 2*h + 3. Let q(f) be the second derivative of -f**5\/20 + f**4\/2 + 7*f**3\/6 - 3*f**2\/2 + 12*f. Let k be q(7). Determine d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140*p = 4274*p + 266390 for p.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -54. Let r = v + 70. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20805 + 20805.2. Which is the nearest to 0? (a) p (b) 326 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.08, -0.5429, 0?\nAnswer: -0.5429","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.6 and -0.2.\nAnswer: -6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(114))\/sqrt(6)*5 + -1.\nAnswer: -1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -2\/3, 4, -17\/280, 5, 9 in decreasing order.\nAnswer: 9, 5, 4, 1\/9, -17\/280, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46101 and 2434590.\nAnswer: 294585390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 603341742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, r: 2, o: 5, d: 2}. What is prob of sequence rodj?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 2}. Give prob of sequence vv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -5, 12, 25, 28?\n\"Answer: -g**3 + 7*g**2 + g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -130. Let m = j - -90.00000074. What is m rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/2 - 25\/6. Sort f, 2\/5, 5 in decreasing order.\nAnswer: 5, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1530490111 to the nearest integer?\nAnswer: 39121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 385376.1mm in centimeters?\nAnswer: 38537.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n - 7 = 0. Let l be 1768\/14 + 2\/n. Let r(b) = -b**3 + 209*b**2 + 205*b + 1068. Let m be r(210). What is the greatest common factor of l and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 10, -2*s - 4*l = -0*s - 6. Let w(u) = 11*u - 1. Let a(r) = 33*r - 4. Let g(v) = s*w(v) + 2*a(v). Let y be 75\/(-45) + (-4)\/(-6). What is g(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -5. Let g(f) = -2*f - 3. Let h be g(-3). Suppose -2*k = i - 3, h*i = -i + k + 30. Solve 5*a = 4*y, v*a - 2*a - i = 3*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41456778?\nAnswer: 2, 3, 11, 17, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(121) - 2*sqrt(121)) + sqrt(121))\/sqrt(11) + 1.\nAnswer: -sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 = -5*z, -u + z + 5 = 3*z. Sort -4, u, 4 in decreasing order.\nAnswer: u, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n*q**2*s - 2*n*q**2 - 103*n - 24649*q**3*s + 2*q**3 - 12*q wrt s?\nAnswer: -2*n*q**2 - 24649*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - -101 - (0 + -1 + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1577, -3205, -4881, -6623, -8449, -10377, -12425?\n\"Answer: -3*t**3 - 6*t**2 - 1589*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 e when three letters picked without replacement from eemcedeeecmekeeuedm?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8153, 15253, 22351, 29447, 36541, 43633?\nAnswer: 50723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:58 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21612 - 0.086.\nAnswer: 21611.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a = -20. Let n = -1487 + 1483.926. Let r = 0.074 + n. What is the third biggest value in 0.11, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1598302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74257590?\nAnswer: 2, 3, 5, 11, 225023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.418 (b) -67 (c) 0.015 (d) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + k = -25, u + 5*k + 21 = -0*k. Put -3, 6, u in increasing order.\nAnswer: -3, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 3:36 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2636440*b**3*i**3 - 11*b**3*i + 2*b**3 + 93*b**2*i + 8*b*i + 4 wrt i.\nAnswer: 15818640*b**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 15*w. Suppose w = -t - 5. What is the tens digit of (-4 - -1) + 58 + t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -685, -1234, -1783, -2332, -2881?\n\"Answer: -549*v - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c**3 - 9*c**2 + 25*c - 8. Suppose -179 = 6*k - 167. Let v(q) = -3*q**3 + 2*q**2 - 6*q + 2. What is k*r(h) - 9*v(h)?\nAnswer: h**3 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h + 1 = 0. Let d be h\/((-7)\/(-30)) - 4. Determine k so that 4\/7*k**3 - 4\/7 + 8\/7*k**2 - 2\/7*k**5 - 4\/7*k**4 - d*k = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2225 - 11109\/5. Factor 8\/5*o**3 - 1\/5*o**4 + q - 8\/5*o - 3*o**2.\nAnswer: -(o - 4)**2*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 22*y + 17 + y**2 - 8 - 6. Let m be a(-22). Let h be ((-4)\/(-10))\/((-2)\/(-10)). Solve -h*n + m = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 792*q + 50757. Give j(-75).\nAnswer: 2607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voou when four letters picked without replacement from {v: 3, c: 4, o: 3, u: 5, m: 4}?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(104)*1 - sqrt(104) - sqrt(104))*3)\/((sqrt(224)\/sqrt(4))\/sqrt(7) + -2*sqrt(8)*-1).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-404 + 309 - -134) + (4 - 0).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55921830 and 6894?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9305493*d**3*p**3 - 5*d**3*p + 6*d**3 - 2*d*p**2 - 6923*d - p**2 wrt p?\nAnswer: 55832958*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 0.09359.\nAnswer: -0.0018718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 148 = 0. Suppose 3*s - 11 - p = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -236330.0414 to zero dps.\nAnswer: -236330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84623 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((12\/15)\/((-6)\/(-15)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - -3) + -10 - -2) + 62 + -56.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 3:07 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -237, 372, 1557, 3510, 6423?\nAnswer: 10488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7024 - 7021. Solve 3*n - 6 = 4*y, 0*n - q*y + 2 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:40 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183 - -189. Let q = 116 - 80. Calculate the greatest common factor of q and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:41 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 280301868 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13270 + -13260. Solve 0 = -3*x - 5*w - h, -3*x - 2*w + 4 = -4*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*m + 0)*(-22 + 13 - 8 - 20).\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2713 is divided by 369.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 + k. Let j be c(-1). Suppose j*x + 37 = 3*b - 239, -195 = -2*b - x. Calculate the greatest common factor of 160 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0.1, 3\/5, -1578235, 0, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*o - 25 = 0, -4*o - 25 = 5*q - 10*q. Solve -s + g - 14 = -5*s, 21 = q*s + 3*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4868244, 104, -3\/4?\nAnswer: -4868244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -0.3 (b) -3 (c) 540 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-1035))\/(((-8)\/6)\/(-4)*(-552)\/920)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/12211 or 1?\nAnswer: -2\/12211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -18. What is the units digit of 18\/l + 7\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 21*l - 17. Suppose 5*v + 30 - 8 = -3*h, 3*v + 17 = 2*h. Let o be d(h). Sort o, 6, 11.\nAnswer: o, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 3:48 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127 by -4.\nAnswer: 127\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 128248 + 0?\nAnswer: 128248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1432, 5250, 11622, 20554, 32052, 46122, 62770, 82002?\nAnswer: 103824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -958404761 + 157.6?\nAnswer: -958404603.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*g - o + 16, -2*o = 2*g - 14. Let z(m) = -m**2 + 1. Let w be z(-2). Let q(u) = -3*u - 4. What is the remainder when g is divided by q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -2*b - b + 2*x, 172 = 4*b - 4*x. What is the remainder when b is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + v - 7 - 2*v.\nAnswer: -v - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43341 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -411116200 rounded to the nearest one hundred thousand?\nAnswer: -411100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -32. Let k = 1.28 - -18.42. Let v = k + -20. Sort p, v, -0.1 in decreasing order.\nAnswer: p, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-36)\/10 + 10 + -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t + 2. Let i = 254 + -255. Calculate z(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(396) + 2) + sqrt(55)\/(sqrt(5) + -3*sqrt(80)).\nAnswer: 6 + 131*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(2299) - -5*(1*sqrt(2299))**2 - -6*(sqrt(2299) - (sqrt(2299) + sqrt(2299) + -1)*-1)**2) + 3 + -3.\nAnswer: -374*sqrt(19) + 135644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 21038?\nAnswer: 21036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1904232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454038998?\nAnswer: 2, 7, 23, 201437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2204*j + 6769. Give k(-3).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4205648 and -22158?\nAnswer: 4227806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -225, -262, -313?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(-2\/7))))\/t**2)**19*(t**(2\/3)*t*t**(-3\/14))**(1\/58) assuming t is positive.\nAnswer: t**(-32999\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82.8 + -155.7. Let h = -118 - -49. Let n = w - h. Round n to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 35. Let k = h + 6. Let u = k - -14. What is the nearest to 1 in 3\/2, -2, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, v: 1, g: 3, i: 1, k: 6, l: 1}. What is prob of picking 1 w and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, f: 2, g: 4}. Give prob of picking 1 g and 1 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (30\/(-60) - (23\/(-10) - 2)). Let v = 0 - -0.1. What is the closest to -2\/7 in g, v, 0.19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48606 and 324?\nAnswer: 2624724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -84*s + 11. Let m(q) = -28*q + 4. Determine -4*l(p) + 11*m(p).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 746668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -34\/7 in increasing order.\nAnswer: -34\/7, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 120, -5, -2\/9, 13, 0.02038 in descending order.\nAnswer: 120, 13, 0.02038, 0, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2926.7992 - 2906.8. Let s = 20 - h. Round s to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 + 325. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 7, 31, 77, 151?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 306 + 366 = 0. Solve -h*m + 40 = -38*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*a**6 - 25*a**6 + 16*a**6 + 3*a**2 wrt a.\nAnswer: 840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**7\/105 + j**6\/30 - j**5\/2 + j**4\/3 + 20*j**3\/3 + 3*j**2. Factor l(w).\nAnswer: 2*(w - 2)**2*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-195))\/(4\/12). Put -1, 3, 6, a in ascending order.\nAnswer: -1, a, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 0*m**2 - 9\/20*m**4 + 6 + 2\/5*m**3 + 0*m + 3\/25*m**5. Factor h(q).\nAnswer: 3*q**2*(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 169*x + 2955. Calculate h(169).\nAnswer: 2955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*p - 1134*p + 276*p + 281*p + 287*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/12)\/(-21)*(-4)\/((-160)\/5)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4405, -12069, -19721, -27355, -34965, -42545, -50089, -57591?\n\"Answer: k**3 - 7671*k + 3265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - -1. Let d = 4390 - 4387.437. Let i = d + 0.437. Is f > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/6*(107 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14514 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 + -4.1. Let g = -0.9 - w. Which is the biggest value? (a) g (b) 6\/5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2. Let f(d) be the first derivative of 0*d + 10\/3*d**3 + 24 + 0*d**2. Calculate 6*f(x) + 21*w(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 2*q - 41. Suppose 0 = 4*l, -4*r + l - 8 + 44 = 0. Let a be o(r). Suppose -72 = a*h - 28*h. Is h equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4*i + 2. Let w be l(-5). Suppose 5*c = -h + 22, h + w*c - 18 = 3*c. Let 0*u - 1\/3*u**4 + 1\/3*u**5 + 0 - 1\/3*u**3 + 1\/3*u**h = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 135 (c) 1\/28 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -7\/2 (c) 2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19266576 divided by 84?\nAnswer: -229364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -21. Calculate the highest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - m - 3. Let s be 7\/(-14 - (-63)\/4). Suppose -4*h - 18 = 3*d, 0*h + 4*d - 7 = 5*h. Let c(t) = -3*t**2 - 4. Determine h*c(o) + s*l(o).\nAnswer: o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81254564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okok when four letters picked without replacement from kokookkokokk?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 0.3. Let g = 3.1 + h. Which is the smallest value? (a) -5 (b) g (c) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 225*x**2 - 176*x - 174. Let v be b(-1). Solve -199 + v = -7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(3\/5))\/(o*o**(4\/5)))\/((o*(o\/(o*o\/o**(1\/3)))\/o)\/o)**(-48)*((o*((o\/(o\/(o*o\/(o\/o**(2\/9))*o)))\/o)\/o*o*o)**(1\/40))**(18\/13) assuming o is positive.\nAnswer: o**(-20563\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v = 2411 + 1189 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -333, -317, -289, -243, -173, -73, 63, 241?\n\"Answer: h**3 + 9*h - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ed3a47c + 0?\nAnswer: 1ed3a47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8241467, 8241469, 8241471?\n\"Answer: 2*o + 8241465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 + -116?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = d - 4*d + 6*d. Calculate the remainder when 853 is divided by d.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -6248 and -4366.\nAnswer: -10614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 357*b - 363*b. Solve -4*d - 3*o - 11 = 0, -b*d + d = -5*o + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368664683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 22*x**2 + 4*x + 21. Give u(22).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/5 - (-136)\/(-170)) + 142. Suppose 16*r - 3*r = j. Solve n = 2*q - 9, 8*n = r*n + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 159, 1, 1340.\nAnswer: -39, 1, 159, 1340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 8*z - 2*z - 4*z + 9*z. Let c(x) = 1 - 7*x**2 + 3 + 3*x**2 + 7*x**2. Calculate n(c(m)).\nAnswer: -3*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 16*h + 40 = 5*k, 3*h = 3*k + 6. Solve -3*b - k*n + 5*n + 7 = 0, 6 = -3*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaga when four letters picked without replacement from {a: 2, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) + (47 - 83577\/1755)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 0*b - 11\/2*b**2 - 4. Let h(v) = v. What is h(c(l))?\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 746 and 38.\nAnswer: 14174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.12, 0.41, -27, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -8 - -4 - 0 - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1513692.625 to the nearest one hundred.\nAnswer: -1513700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 6*m + 2. Let x(o) = -23*o + 1 + 57*o + o**2 - 33*o. Suppose 4*r - 3*v = 15, 5*v = -0*v - 5. Calculate r*x(k) - a(k).\nAnswer: k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -399 - -516. Let o(n) = 4*n**2 + 4*n + 2. Let v be o(-3). What is the greatest common factor of v and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 3\/1375610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = 1. Solve 5 = -i + v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 1\/3, -9\/2 in decreasing order.\nAnswer: 4, 1\/3, -0.3, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5*i + 726 = 732, -194 = 4*l + 89*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 7*l - 28. What is the remainder when (22\/8)\/((-3)\/(-60)) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 8*g**2 + g - 2. Let k be i(-7). Calculate the remainder when 1215\/k - 3\/8 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*6*3 + (-3*-6*sqrt(132) - sqrt(132)))\/((5*(-2*sqrt(132) + sqrt(132)))\/(-4*sqrt(44))).\nAnswer: 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216581 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4128*b - 4133*b = m + 9, 2*b = -4*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(275) + -1)*5 - (sqrt(275) - (sqrt(275) + (sqrt(275)*-2*1)**2))) + (-2*(0 + sqrt(275))*-6)**2).\nAnswer: -162780 - 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 14*g + 178 + 14*g to the form f + d*g**2 + k*g and give f.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 36. Let c = 18779 + -18576. Calculate the remainder when c is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*o - 557 = 0, 5*o - 466 - 454 = -5*f. Suppose -363 - f = 12*a. Is a at most as big as -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + 11 + 1200\/(-296) + -2\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4459284, -17837076, -40133398, -71348250, -111481632, -160533544, -218503986?\nAnswer: -285392958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2743 + 5483 - 2740 + 350*v - 353*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15637*y**2 + 248*y + 2927443.\nAnswer: -31274*y + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 1\/60*d**6 + 0 - d**2 + 0*d**4 - 1\/60*d**5 + 0*d**3 - 1\/210*d**7 + 0*d. Factor f(t).\nAnswer: -t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 15. What is the closest to r in -1\/6, 5, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25773 + 5438089\/211. Which is the smallest value? (a) z (b) -0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3672.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10133 - 23123?\nAnswer: -12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 89 = 75*d - 80*d - 1, -3*d + 87 = -8*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*g - 10 + 10)*(-3 + 4 - 2)*(-164 + 87 + 30) in the form o + c*g and give c.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -151350090820.\nAnswer: 151350090812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560*u = -665*u + 1470. Solve 67*c - 64*c - 4*t - 23 = 0, 4*c - 2*t - u = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -300?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 4*q - 28*q + 45 = 0. Let 19\/6*i - q - 1\/6*i**2 = 0. What is i?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 85 + 422?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73753 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 15*k**2 + k - 1. Let p be a(4). Suppose -7*x + 4*x = -p. Let d = x - 37. Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*t**2 - 320*t**2 - 334*t**2 + 211*t**3 + 5*t - 193*t**3.\nAnswer: 18*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119803011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 + 11. Let o = p + 56. What is the nearest to o in -1, -2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 1201, 3936, 9237, 17962?\nAnswer: 30969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403.\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 8, -27, -98, -217, -396, -647?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 18 + 59 = d, a = -d + 42. Calculate the remainder when d is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392.722 less than -298053?\nAnswer: -295660.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182042 is divided by 1480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/279 and 89\/122448822.\nAnswer: 367346466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 12:43 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:36 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1210 and 4190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**7\/147 - n**6\/105 + n**5\/35 + n**4\/21 - n**3\/21 - n**2\/7 - 29*n. Factor s(h).\nAnswer: -2*(h - 1)**2*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -17 (b) 45 (c) 1421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40755 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89*v**2*w**2 + 515*v**2*w + 234*v**2 + 2*v*w + 5*v + 2 wrt w?\nAnswer: -178*v**2*w + 515*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 76036283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 + 2)*(2*f**2 - 4*f**2 - f**2) + 2 - 2 + f**2 - 119*f + 54*f + 65*f - 184*f**2.\nAnswer: -171*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - s**2 + 114*s**3 - 4*s**2 - 121*s**3. Let f(z) = 15*z**3 + 11*z**2 - 11*z. Give -13*c(q) - 6*f(q).\nAnswer: q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 2*z + 3. Let l be v(3). Let s be ((-6)\/l)\/((-2)\/(-12)). Let j be (-3 + 0)\/((-6)\/4). Solve j*o = 2*f - 4, 5*f - s*o - 1 = -0*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by 390?\nAnswer: 71\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-13 - -4 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737268831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 21 = -3*g. Let b be (-1)\/(1\/(2\/2)). Let d(a) = -3*a**3 - a**2 - a - 1. Calculate the remainder when g is divided by d(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14*39\/(507\/(-364))*418\/176.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.072367 microseconds?\nAnswer: 0.000004072367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - -15. Let b = o + -45. What is the closest to 0.1 in 3, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -0.4, -8, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 4:14 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/10))\/(x\/x**41) assuming x is positive.\nAnswer: x**(409\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 - 435.\nAnswer: -436.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 3*x**2 - 3*x - 2. Let c be (-15)\/(-1 - -4) + 2. Let u be -14*1*c\/6. Let a = 4 - u. Give s(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - s = 4262, 441 = b + s - 627. Let z be 1\/(3 - b\/356). Let j = z - 82. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792384*d**3 - 61*d**2 + 792382*d**3 + 61*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 793274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/((-4485)\/46))\/(8\/444)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**26*(n**(2\/57)*n)\/(n**2*n))**(-43) assuming n is positive.\nAnswer: n**(151532\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -232*u + 4409. Let p be n(19). Which is the fourth smallest value? (a) -1\/4 (b) -2\/5 (c) p (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11161 + -11008. Solve c*q - 152*q = 2, 5*q - 13 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/47? (a) -2 (b) 0.1 (c) 0.42 (d) -115 (e) 0.216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:10 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -360162, -1440506, -3241044, -5761782, -9002726, -12963882, -17645256, -23046854?\n\"Answer: -b**3 - 360091*b**2 - 64*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.6 and -4212.\nAnswer: 82555.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**5 + 2*u**5 + 3*u**5 + (0 + 0 - 2*u)*(-u**2 - u**4 + u**2) + 3*u**4 + 7*u**5 - 3*u**4.\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 576241132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 + 133. What is the smallest value in 5, y, 0.5, -5\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 474 = -5*a, 2*a + 3*f - 378 = -2*a. Calculate the lowest common multiple of a and 18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -13*c - 1 + 28*c**2 + 13*c. Let w(v) = -v. Calculate the remainder when i(1) is divided by w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.42 (b) -2 (c) 42 (d) -3 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 7. Let t be (-8)\/l*(-2)\/(-6). Let f = 0.0761 - -0.0139. Which is bigger: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354350275 to the nearest integer?\nAnswer: 18824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**7\/7 - l**6\/15 - 6*l**5\/5 + 2*l**4\/3 - 3*l + 1. Solve v(x) = 0 for x.\nAnswer: -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:35 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 6*b + 3. Let v be k(6). What are the prime factors of 2*(v - 75\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/32)\/(1\/(-4)). What are the prime factors of (12\/(-10))\/(p*3\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 79, 53, 29, 13, 11, 29?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1011356 and 82340?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*s + 197*s + 3 - 3)*(-4*s - s + 4*s).\nAnswer: -102*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 98468*b\/7 - 37322928\/7.\nAnswer: -2*(b - 48852)*(b - 382)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvavzzzsvsa. Give prob of sequence avsz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**2 - 2*m + 1. Let l(t) = -5*t**2 - t + 1. Let r(o) = 4*f(o) - 7*l(o). Let g(y) be the first derivative of r(y). Determine g(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l - 13. List the prime factors of n(14).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 322*k**2 + 299*k**2 + 4*k - 199*k**2.\nAnswer: 422*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115)\/299 + 17600\/1144.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -48 + 58. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, -26, 0.445 in increasing order.\nAnswer: -26, 0.445, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 6*m - 3*m)*(-5 - 3 + 1) + m + m + 0*m - 3*m + 2*m + 3*m to the form h*m + r and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -110111111010011110 (base 2) to base 13\nAnswer: -80321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72216141?\nAnswer: 3, 24072047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 1, -11 in increasing order.\nAnswer: -80, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-147*s + 117*s - 88*s)*(-2*s - 2*s + 3*s) as b*s**2 + x + i*s and give b.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 17 + 5 = 0. Let b be t - 0*(-2)\/4. Differentiate 1 + c**4 + 3*c**4 - b*c**4 with respect to c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7684*q - 381449 + 381449 - 4*q**2 + 7684*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5*z - 302*j**4*z - 121*j**4 + j**2*z + 521*j**2 - 8*z wrt j?\nAnswer: -60*j**2*z - 7248*j*z - 2904*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 4*m = -3*h - 2, 0 = -h - 5*m - 3. Let a(r) = r + 13. Let o be a(12). Solve -3*k + v + 3*v + 20 = 0, h*k - 5*v = o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*j**2 + 4*j**3 - 119*j**2 + 2*j**3 + 668*j**2 - 73*j**2 - 364*j**2.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 - (1 + 2) - -49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 0, -2*l - j + 42 = -2*j. Let u(f) = -f + 44. What is the tens digit of u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -13003?\nAnswer: 12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -29*f - 43. Give l(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24194467 divided by 3\nAnswer: 24194467\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 + 157. Sort -1, -4, k, 1\/5 in descending order.\nAnswer: 1\/5, k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 325, 651, 979, 1309, 1641?\n\"Answer: q**2 + 323*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1212 - 1211.9. What is the closest to l in -1\/3, -0.43, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + b)*((-3*b**2 + 28*b**2 + 59*b**2)*(3 + 1 - 2) + (-3*b**2 + 6*b**2 + 2*b**2)*(4 - 4 - 7) - 1 - b**2 + 1).\nAnswer: 132*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 9004.\nAnswer: -41\/9004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) - (sqrt(125) + 2 + sqrt(125))) + -5 - sqrt(125))**2 + 4)*2 + -1 + (5*sqrt(125) + -2)*-4.\nAnswer: 180*sqrt(5) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 376745783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1859*y + 1123 - 1123 - 437*y.\nAnswer: 1422*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 3*j**2 - 6*j + 5. Let n(d) = d**2 + d - 1. Let v(t) = -5*t**2 - 150*t - 1. Let q be v(-30). Calculate q*m(p) - 3*n(p).\nAnswer: -2*p**3 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 + 0)\/(-21))\/((-52)\/78).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 165 + 27 = 0. Which is the smallest value? (a) 3 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322497047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3427590 divided by 366.\nAnswer: 9365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064 divide 15280104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -322554 - -243235?\nAnswer: -35315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in 4, 3080010, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = -3*m, 3*j - 5 = -m - 1. Let w(k) = j*k + k - 3*k. Let t(l) be the first derivative of l**2\/2 - 6. Calculate w(t(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2\/5 - 34826*g\/5 + 4107096 = 0.\nAnswer: -35406, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161877468 * -1.\nAnswer: -161877468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2978 - 2029. List the prime factors of m.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 8300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 179*z + 374. Does 8 divide n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4\/7)*x)\/(x*x**(4\/7))*x*x**(1\/2)*x*x**9 assuming x is positive.\nAnswer: x**(159\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37 - 17 = -o, 0 = -4*o + 4*x + 144. Is o a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 60 = 3*p + 1, 5*p - 4*r = -109. Is 58\/7 - (-6)\/p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0 (c) -4\/5 (d) -2110\/79 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 31 = -n, 0 = -2087*m + 2083*m - 3*n - 56 - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 13*v**5\/20 + 3*v**4\/2 - 13*v. Find the third derivative of y(s) wrt s.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, -1, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -36. Let g = a + 50. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a**2 + a**2 + 6*a**3 - 5*a**3 as m*a**3 + d*a + o + l*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/w**6*w**(-1\/7)\/(w*w**5))**(6\/11) assuming w is positive.\nAnswer: w**(-762\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.518784 to 3 decimal places.\nAnswer: 1.519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2679, 2680, 2683, 2688?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 59748057?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -17*i + 2. Let k(n) = 52*n - 5. What is -4*k(u) - 11*p(u)?\nAnswer: -21*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07976? (a) -0.4 (b) -2\/7 (c) 9\/4 (d) -1\/4 (e) 3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19745 times -0.22\nAnswer: 4343.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from essi. What is prob of sequence is?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 18420.874 to the nearest 10.\nAnswer: 18420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 + (2 + -1 - -12) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 5*h**3\/6 - 3*h**2\/2 - 2*h. What is the units digit of m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565.8719 rounded to the nearest ten?\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-2 + 1) - -26.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-6 - 18\/(-3)))\/(14\/98).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + o. Let u(q) = -q**2 + 2*q + 2. Let i be u(-1). Let s(y) = y**2 + y - 1. Determine i*t(x) - s(x).\nAnswer: -2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*(x*x\/x**(2\/19))\/x*x)*x**(-3\/5)*x)**(-33)\/(x*x\/x**(2\/9)*x*x*x**(1\/5)*x\/(x\/(x**(-2\/3)*x))*x**(-6)) assuming x is positive.\nAnswer: x**(15403\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.32 minus 1905415?\nAnswer: -1905219.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (846\/(-987))\/(60\/21).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - 2 + 4 + 2*d**4 + 2 with respect to d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y\/(y\/(y**(-3)\/y)))**(2\/89) assuming y is positive.\nAnswer: y**(-2\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 2*j - 106 + 92, 0 = 4*c + j + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489672 divided by 244836.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16748984?\nAnswer: 2, 7, 42727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-74800)\/748*(-5)\/((-75)\/6)*16\/30\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v - 2*z + 7530, -2*z = v - 1890. Let g(l) = -1880 + v - l. Let w(h) = -32*h. Determine w(g(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = 0, -d - 2*d + 2*x = -29. Suppose 9*n = d*n + 92. Suppose 130 = 4*y + 2*j, y - 3*j - j - n = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1335 - 1335 + 3065*b + 6869*b + 1309*b + (3 - 1 - 4)*(0*b + b + b).\nAnswer: 11239*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108.18 - 2.18. Let n = y - 108. Which is the closest to 5? (a) 1 (b) -0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + -3cef?\nAnswer: -3cda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let y = 6993 + -6995. Let m be 9\/6 + (y - (w - 4)). Are m and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - m = m - 23, -d - 2*m = -11. Suppose w = 2 - d. Which is bigger: -11\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 222?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-50)\/175)\/((-3)\/21). Find the third derivative of -432 + 432 - s*p**4 + 2*p**3 + 137*p**2 wrt p.\nAnswer: -48*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**4\/54 - 2*n**3\/27 + n**2\/3 + 6*n. Factor b(f).\nAnswer: -2*(f - 1)*(f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, -3, 2\/67, 0, -2\/11.\nAnswer: -3, -2\/11, 0, 2\/67, 1\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8491*b**2 + 662*b - 8. Let l(n) = 16975*n**2 + 1324*n - 14. Let z(j) = -4*l(j) + 7*s(j). What is the second derivative of z(o) wrt o?\nAnswer: -16926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 614426 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - (4 + 9) - -1 - -35)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d + 934?\nAnswer: 8c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 68 = -5*g, d - 3*g - 2*g = 108. Calculate the highest common factor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331021 (base 4) to base 14.\nAnswer: 2cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 - 707 = 8*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2.6 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from allaaollaa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/9 - 1370026*y\/9 + 1370032\/3.\nAnswer: -2*(y - 3)*(y + 685016)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, -5, -3297\/16, 8, 2, -5\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2 + 1377*b + 697. What is v(230)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2444\/3 + -4651\/6. Let a = -2660 - -140964\/53. Find the common denominator of a and p.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 25*j - 9*j + 14*j + 12*j. Let u(l) = -l. Give u(v(s)).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - (-2 - 3) - (1 - -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-5)*1 + 2. Solve -u - 5*a + 20 = 0, -d*u + 3*u - 5 = a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 2*j - 4. Let d(v) = v**2 - 2*v + 5. Let k(b) = 2*d(b) + 3*p(b). Let h = 2290 - 2288. Calculate k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3236069*n*o**2 - 2661*o**2 + 155 wrt n.\nAnswer: 3236069*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 13*x + 9. Give y(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 646.9641 + -647. Round y to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -122 in -373, -0.4, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156429*p - 156461*p + 469344*p - 156459*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 25*i**3\/6 + 243*i. Let b(v) = 2*v. What is n(b(d))?\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(192) + -3)*1*5*-3)**2.\nAnswer: -3600*sqrt(3) + 43425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 167*m - 339*m - 402*m.\nAnswer: -574*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244*h*x*z**2 - 1459*h*x*z + 3*h*z**2 + 2*h + 2*x*z**2 + 2*x + 162*z**2 + 1 wrt z?\nAnswer: 488*h*x + 6*h + 4*x + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-12)*3\/2. Suppose -h = p*h - 6. Let x(k) = k + 5 - 8 - 2*k - h*k**2 - k. Let s(b) = -4*b**2 - 4*b - 7. Determine 3*s(v) - 7*x(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 51*c + 469. Give d(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 11155520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.4 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 2:58 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 2*i**3 + 3*i**3)*(-3*i + 0*i + 0*i) + 185*i**4 - 607*i**4 + 150*i**4.\nAnswer: -278*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**3 - 88 + 88.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/12 - 34\/(-408)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bykykbukubbkkybkbub. What is prob of picking 2 b and 1 u?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 117 - (29 + -10 + -8 + -2)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = c + 17*s, 35 = -5*c - 314*s + 315*s for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011 (base 2) to base 13.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 7*b + 3*b + (-5*b + 4*b - b)*(-4 + 5 + 0))*(3 - 2 - 3)*(-b + b - 2*b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m - 3*m + 4*m)*(-4 + 4 + 2*m) - m**2 + 2*m**2 + m**2 + 2608*m**2 + 3790*m**2 - 2845*m**2)*(2*m**2 - 1 + 1 + m**3).\nAnswer: 3557*m**5 + 7114*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-1))\/(2\/12). Suppose -2*a = -p + x - 5, 4*p = -5*a + 24. Let q = -431 + 881\/2. Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -708 - -558. Is (1693\/(-2))\/(15\/n) - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22180 = 1926*o - 56288 - 50574 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/10 - (-336)\/10. Let y = 28 + f. Suppose -2*h + y = -453. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/99)\/((-44)\/264*4\/154).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*f - 3 - 192*f + 10 + 484*f.\nAnswer: 169*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*6\/((-24)\/794). Let c = m + -159. List the prime factors of c.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73688, 73718, 73768, 73838, 73928, 74038?\nAnswer: 74168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or 2426049?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.5 - -48.39. Let w = 0.11 + n. Let t = 6.3 - 6. What is the smallest value in 0.4, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 - -238. Calculate the remainder when f is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 4\/5, -1\/4, -131?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 176.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose 1 + 3 = 2*u. Suppose -u*c = -3*h + 1 - 6, 0 = -c + 3*h + 10. Sort r, -1, c in descending order.\nAnswer: r, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 1258*x + 11269. What is j(-428)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 13*b**3 - 2*b**2 + b - 8. Let r(i) = 53*i**3 - 9*i**2 + 4*i - 32. Let m(u) = -2*r(u) + 9*v(u). Let p(q) = 7*q**3 + q - 5. Determine -5*m(a) + 8*p(a).\nAnswer: a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**3*x**3 + 150*d**3*x - d**3 - d*x**2 wrt x.\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 68, -2.\nAnswer: -4, -2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.05 + -1.106. Let m = -0.05589 - v. What is m rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41388?\nAnswer: 2, 3, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w - 9*w + 17*w. Let x(f) be the first derivative of 0*f - 8 + 0*f**2 + 8\/3*f**3. What is m(x(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*b + 219*b = -3100 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 9:35 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30292.728 and 9?\nAnswer: 272634.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -4, -3, -2?\n\"Answer: i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 18*j**2 - 21*j - 49. Let c be 51\/(-969) - 1080\/57. Give h(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 311353393 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 3522812.\nAnswer: -3\/3522812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(425))**2*-3 + (sqrt(425) + -1 + -1)**2 + -2.\nAnswer: -956 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -17520237\nAnswer: -17520238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -15. Suppose u = -2*y + 4*y. What is the second derivative of 7*l + 4*l**3 + 2*l**5 + 0*l**3 - y*l**3 wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 8, 4*m = 3*o - 16. Suppose -20 = y - 5*j, -y + o*j = -j. Solve -5*p = -q + 4*q - 5, -2*q + 5*p - y = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108184978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 - 32*s**2 + 45*s + 39. What is m(-17)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 3. Let d(a) be the first derivative of a**2 - a + 1. Let u be d(2). Let w be c(u). Let t(k) = -k - 7. What is t(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-16)*(-4676)\/(-7014)*-100.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8021 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 41*f - 34*f + 22, 15 = -4*q - 3*f. Sort 1\/4, 83, q, -0.2, 2\/3 in decreasing order.\nAnswer: 83, 2\/3, 1\/4, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 87, -5, -555, 32 in increasing order.\nAnswer: -555, -5, -1, 32, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8950 and 1026950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - w**3 - 3*w - w)*(-13 + 14 - 15) to j*w**2 + v*w**3 + z*w + s and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 79662 = 4*k, -4*b - k - 303137 = 15481. What is b rounded to the nearest one thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2684 = 4*i, 9*l + 3355 = -5*i + 6*l. Do -3354\/5 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.6 less than -0.46?\nAnswer: -30.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) 3\/5 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623895053 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 8*h**2 - 9*h + 2. Let k be g(-9). Suppose 2*n - 8 = -k*c + n, 4*c - 3*n - 16 = 0. Solve -c*m + m = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2352.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12930 divided by -5\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-15 - -19)*(-10)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v + v. Suppose 0 = -v*l - 2*l + 35. Suppose 15*w = 28*w - 65. Calculate the remainder when l is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545681549 + 0.\nAnswer: -545681549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4 + 4 - 2 - 3 + 2*u. Calculate o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -37*d**2 + 160*d + 162. Give c(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261729 is divided by 262.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19875614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3580 + 5605 = -327. Is r <= -2378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -333*m**2 - 5 + 12249*m - 12249*m in the form x + w*m**2 + j*m and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -76, -72, -66, -58?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45895151 and -3.\nAnswer: 137685453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 55. Let u(m) = 60*m**2 - 3*m + 104. What is u(q(g))?\nAnswer: 1500*g**2 - 33015*g + 181769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1315043 - 3162?\nAnswer: 1311551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 16) to base 5\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 14120*a**3 - 9954590*a**2 - 19951560*a - 9982845.\nAnswer: -5*(a - 1413)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36757512 and 55136268?\nAnswer: 110272536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 142*p**2 + 1512*p + 43. Determine d(-9).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eewewycywycwwywyc. Give prob of picking 1 c and 2 w.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9218, 9220, 9222, 9224, 9226, 9228?\nAnswer: 9230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -5, 18.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5080*n**2. Let h(k) be the third derivative of -k**4\/24 - 9*k**2 + 58*k - 2. Determine h(s(a)).\nAnswer: -5080*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 + 2 = 0. Suppose -k - 4*g + 81 = -2*g, -427 = -d*k + g. Is k\/(-2)*(1 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:36 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4650, -173, 2 in descending order.\nAnswer: 2, -173, -4650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19843 + 69.80157. What is the third smallest value in 4, -4\/11, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/9 - 8\/63. What is the smallest value in -5, w, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.7 + -59.7. Let u = -9 + 6. What is the second biggest value in -2, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 divided by -1.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 2*u + 3. Let d be p(-2). Let k be 2 + d\/((-15)\/6). Suppose -k*s - 6 = -90. What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h - 10*h + 6*h**2 - 17*h**2. Let x(g) = -3*g**2. Determine x(v(b)).\nAnswer: -363*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 31. Let x = 2 - p. Let j = 29 - x. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73700270?\nAnswer: 2, 5, 7, 17, 61933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*h**2 + 831*h**2 - 604*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1357 - 847. Let o = y + -510.055. Round o to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-1) + -7 - (5 - 7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**2 + 15940*a + 15933. Give c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 11:32 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 205071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193576 divided by -48394.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 8*q**2 - 1861*q + 44927. Give h(21).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/11)\/(i*i*i**(-3\/8)))**29\/(i\/(i*i**5\/i)*i*i**2\/i*i*(i**(-1)*i)**33) assuming i is positive.\nAnswer: i**(-4291\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Suppose t - 106 = -a*n, 2*n - 5*t - 61 = 21. Calculate the highest common factor of n and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5 - 27*y**4 + 1863*y**3 + 19035*y**2 - 291600*y - 3280500.\nAnswer: -3*(y - 18)**2*(y + 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -517 + 469. Let l be 10744\/64 + (-6)\/a. Calculate the highest common divisor of 126 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/15 - 15466*m\/5 + 1494976\/3 = 0. What is m?\nAnswer: -23359, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.3, 0.5, -3.95.\nAnswer: -3.95, -5\/2, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/(-155) - (-632)\/(-9796)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 - -4.2. Suppose p + p + y = -5, 0 = 4*p - 3*y - 5. What is the closest to d in 0, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -184, -256, -312, -346, -352, -324, -256?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 22. Suppose -5*o = -4*x - 41, -4*o + 16 = 5*x - y. What is the remainder when 24 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a centimeter in millimeters?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/((-42)\/(-8)))\/(5\/35). Calculate the remainder when 182 is divided by 23\/(20\/8*s\/10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -173 (b) 2\/3 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.14 - 8.14. Let q = x + 7.8. What is the smallest value in -1\/8, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.093 + 0.193. What is the nearest to m in -0.3, -3\/5, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -443 divided by 51083\nAnswer: -443\/51083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 86 (c) 4 (d) 3\/37 (e) -20 (f) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108594 - 52582. Suppose 0 = w - 0*w + 4*o + s, -2*o = -4*w - 223994. Let x be w\/3*(28 + 2). What is x rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36, 2, -3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/(-6) + (-9)\/54. Let k(a) = -a**2 + 2*a - 5. Let z(g) = -3*g**2 + 5*g - 14. Calculate l*z(u) + 8*k(u).\nAnswer: u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -151*h**4\/12 - h**3\/2 - 3*h**2. Let f(b) = 906*b + 9. Let l(x) = 3*f(x) + 8*w(x). Is l(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5805 and 579798?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j - 1. Let r = -10 - -22. Let f = r + -10. What are the prime factors of l(f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/2 - 123*b\/2.\nAnswer: -3*b*(b + 41)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010100011101100010 (base 2) in base 14?\nAnswer: 40ab50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 3*f**2 - 2*f + 5. Let p be l(3). Which is bigger: p or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-178)\/445)\/(1944\/(-750) - -2 - (-6)\/10)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2505)\/25 + 8\/40. Let t be -3*(g\/15)\/(-10). Sort t, 2, -4, -17.\nAnswer: -17, -4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -97806 - -330?\nAnswer: -97476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*g + 63*g + 153*g - 2*g**2 - 339*g.\nAnswer: -2*g**2 - 467*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l + 28. Let g be q(-4). Solve -m + c = 4*m - 14, 0 = -m - g*c + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*o - 207*o - 216*o - 4*o**3 + 1682*o**2 + 2838*o**2 = 0. What is o?\nAnswer: 0, 1130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1107 + 421 - 172 + 1080*f**3 + 17 wrt f.\nAnswer: 3240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4 (c) -122 (d) 2 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 4 (b) -33\/7 (c) -8 (d) 2 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 8, w: 3, m: 4, l: 3}. What is prob of picking 2 w?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5522, -5373, -5192, -4967, -4686?\nAnswer: -4337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 15 - 31 = 0. What is the common denominator of (j - (0 - 0)) + (-658)\/(-126) and -61\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*y + 883, 5*a - 4*y - 450 - 615 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.12 - 13.2. Which is the third smallest value? (a) s (b) 1\/6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + (sqrt(128) - (sqrt(128) + sqrt(128) + -1 + sqrt(128) + -5)))**2.\nAnswer: 32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -789 minus 11?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h + 1. Let w be v(-1). Let r be (-1002)\/(-9) + 4\/w. Suppose 2*u - 717 = -r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 + 2*a**3 + 459 - 15*a**2 - a**3 - 240.\nAnswer: a**3 - 15*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247100 = -13*c - c. Suppose 2*d = 7*d - c. Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/4 (b) 2\/5 (c) 1 (d) -1 (e) 68606\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188338380 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29113824 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n**3 + 2*n**2 - 15*n - 2. Let g be v(-8). What is the highest common factor of 52 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 374*h**3 - 2*h**2 - 42*h - 42. Determine b(-1).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*(1 + 44\/(-12)) + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466339 a multiple of 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*x**3 + 19*x**3 + 73591*x - 73591*x.\nAnswer: 84*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2844\/11 + -28143\/110. Find the common denominator of 18\/301 and n.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/8 + 2\/(-8). Suppose p*o - 278 = 178. Suppose 4*j + 38 - o = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 13*l + 20. What is d(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + k**4 - 6*k**2 - 4*k**4 + 2*k**4 - k**2 + 2*k**3 + 3 to the form q*k**2 + c*k**3 + l*k + w*k**4 + z and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -1812386.\nAnswer: -9\/906193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-6 - -25) - 0 - 13 - 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7614*d**5 + 1774*d**2 - 6?\nAnswer: 456840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 + 32 = 3*z, -z + 15 = 5*p. Solve -3 - 3 = -p*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2461342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)*i*i\/((i**(-4\/7)*i)\/i))\/(i**(-2\/7)*i**(-6\/5)))**(31\/3) assuming i is positive.\nAnswer: i**(1612\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 4 + 4*m**3 + m**2 - 2*m**2 - 15*m - 2*m**2 - m**4 = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*v - 115 - 800, -4*v = 3*j - 1213. Is 43 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 260127147 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56 - 3e?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*m**3 + 5*c*m - 52*c - 33*m**2 + 1 wrt m.\nAnswer: 3*c*m**2 + 5*c - 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 + 3.4. Let j = -435 - -431. Let k = 0.05 - -4.95. Which is the third biggest value? (a) j (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 - -0.43. Let n = j + -0.5. Suppose x = 5*x - 4. Which is the biggest value? (a) n (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3505 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1153\/74 and -17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1037, 8099, 27203, 64367, 125609, 216947?\n\"Answer: 1003*p**3 + 3*p**2 + 32*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from kucauuuqqc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.72 * -1.3.\nAnswer: -0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.105 + 59.5449\nAnswer: 59.4399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**4 - 138*o**3*v - 144*o - 204*v - 543 wrt o?\nAnswer: -4*o**3 - 414*o**2*v - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:52 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3036, 6170, 9312, 12468, 15644, 18846?\n\"Answer: k**3 - 2*k**2 + 3133*k - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*f - 884 + 149. Solve j - f + 14 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:45 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -1 + (-14)\/(-5))\/(-28 - 203379\/(-7260)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 4*c**2 + 3*c + 2. Suppose 4*w - 16 = -0*w. What is the smallest common multiple of 18 and r(w)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 3)*3*1. Let v(w) = 2*w**2 + 7*w - 6. Suppose -2*b = 17 - 5. Let l be v(b). What is the highest common factor of l and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 11:10 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**2*u**2 + 11052*t**2*u + 67361*t**2 - 3*u**2 wrt u?\nAnswer: -4*t**2*u + 11052*t**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, e: 6, t: 4}. Give prob of picking 2 z, 1 e, and 1 t.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 256 = -41*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/(-2352) - (2*(-107)\/24 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058992 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -770*j + 7. Let m be c(2). Let v = 2582 + m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in nine fifths of a millennium?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 67 = -2*b + 2*h, 3*b + 3*h = 33. Let i = 1.5156 + 0.4844. Let z(d) = -d - 1. Let x be z(3). What is the second smallest value in i, b, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 3*r**3 + r**3 + (2*r**2 + 2*r**2 - 3*r**2)*(-5*r + 6*r - 7*r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2926\/(-308) + (13 + -2)*1. Which is the nearest to -0.4? (a) 0.07 (b) -1\/2 (c) -5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 2}. What is prob of picking 3 r and 1 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 48 = -5*b, -13 = -3*n - 2*b + 21. Suppose 0 = 5*h - n - 16. What is the least common multiple of 22 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(100)\/sqrt(4) - (sqrt(1600) - 2*sqrt(1600)))*4)\/(4*(sqrt(180)*-6 + sqrt(180))*1).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 313 + 530*o + 535*o - 1060*o in the form u*o + n and give n.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 469*b**2 - 53*b**2 + 5 + 517*b**2 - 214*b**2 as t*b**2 + c + x*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64424 in -0.3, 4, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3699, 92, 4.\nAnswer: -1, 4, 92, 3699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/20 + -3\/10. Let k = -0.03 + -4.97. Which is the closest to -1\/4? (a) p (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*d + 2 - 47*d**4 + 50*d**4 + 2*d**3 in the form j*d + m*d**4 + k + r*d**2 + h*d**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usupuuuuuuuuuuutt. Give prob of picking 1 s and 1 p.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 151872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*f = -29, -67 = -3*w - 2*w + 2*f. Suppose -w + 6 = 3*q. Let b(h) = 21*h**2 - 2*h - 4. Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(7)*2.\nAnswer: -7 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 675906619 a multiple of 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 6. Let h = o - -8.99992. Round h to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75537539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 - 3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 7 + (0 - -7) + 626?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(3456)*-4 + sqrt(3456))*-3)\/(((sqrt(112)*2)\/sqrt(7))\/(-2*sqrt(98))).\nAnswer: -5796*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21354074 is divided by 399?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/7))**19 assuming m is positive.\nAnswer: m**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*i**2 + 46090*i**3 + 143*i**2.\nAnswer: 46090*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138419886 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*f**2 - 57*f wrt f.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from gkgk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*r + 5*r + 2, 2*b = -4*r + 2. What are the prime factors of b\/(-4) - 267\/(-12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1108.8423 + 1109. Round a to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101322 (base 4) to base 9\nAnswer: -1513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -14, -16, -8, 16?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:35 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 + y + 24 + 17 to f + k*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28741?\nAnswer: 41, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**6\/60 - 103*t**5\/120 + 325*t**4\/24 + 169*t**3\/12 + 2*t**2 - 83*t. Factor x(f).\nAnswer: (f - 13)**2*(4*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37379673 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.066233 rounded to one dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5307)\/(-1073) + 4\/74. Put 4, u, 18, -3 in decreasing order.\nAnswer: 18, u, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 160663?\nAnswer: -5\/160663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4739988 - -4739969.519692. Let s = -0.519764 + l. Let j = 19 + s. What is j rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544408 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2102 and -81?\nAnswer: 170262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**28 assuming c is positive.\nAnswer: c**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 508*w. Let s(c) = -30*c**2. Determine f(s(q)).\nAnswer: -15240*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -125, -112, -99?\n\"Answer: 13*w - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3 - 1771*s**2 - 68445*s - 537273 = 0.\nAnswer: -27, -11, 1809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(3 + -1)*2\/8. Let m be (124 - w)\/((14\/(-576))\/(-7)). Let b be (-1 + 33206\/6)\/(6\/m). What is b rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38524 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 * -8\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 0.08, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/3)\/((-2)\/(-3)). Suppose -4 + 4 = d. Suppose d*p = -i*p + 8. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-14))\/(-4) - 0. Let c = 65 - 44. Let w = -23 + c. What is the fourth smallest value in a, w, -4, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and 1.801.\nAnswer: -131.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.2. Let p = -0.565 + 0.365. Which is the closest to i? (a) -4 (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14624 and 48.\nAnswer: 43872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 3318969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19376157.\nAnswer: 3, 569, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuuevuuvvuvvvvvvvu. Give prob of picking 1 e and 1 u.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3)*(r*r**17*r)\/r)\/(r*(r\/(r*(r\/r**7)\/r))\/r)**(1\/43))**(-47) assuming r is positive.\nAnswer: r**(-32007\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Let z = 22 + 1. Let g = 24 - z. Put v, 0, g in increasing order.\nAnswer: 0, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316942 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 4*m - 62, 3*m - 15 = 0. Suppose -c = -6*o - 23. Factor 10\/7*n**2 + 2\/7*n**o + 0*n + 0.\nAnswer: 2*n**2*(n + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/((-8)\/(-4)) + (-33)\/(-3). Let l be 108\/(-6)*d\/(-3). Calculate the greatest common divisor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12098, 48390, 108876, 193556?\n\"Answer: 12097*a**2 + a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1652226.64 to the nearest 10000.\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -10101111110001010100011 (base 2) in base 11?\nAnswer: -3284347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + (sqrt(1216) - (5 + sqrt(1216)*1) - sqrt(1216) - sqrt(1216)) + -5)**2.\nAnswer: 480*sqrt(19) + 5094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 4. Is 6 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.0531 years in millennia?\nAnswer: 0.1170531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594690 a multiple of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 7, -5\/6, 20, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (0 - 6) - 7) + 0 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 151*o + 65*o. Solve 21*g - 71 + 134 = o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 - g. Suppose -4 = -u + 4*n - 3*n, -26 = u + 5*n. What are the prime factors of h(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143446.6 nanograms to micrograms.\nAnswer: 143.4466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*f - 28 - 1 = 0, 0 = 5*q - f - 32. Suppose -15 = -q*t + 6*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 121?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + d. Let a be u(2). Let b = 3 + a. Let t = 2.912 - 5.912. What is the biggest value in t, -14, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttyyty. What is prob of sequence ytyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 + (-13)\/(-5) + -1. Suppose 4*t - 4 - 8 = -2*h, t - 6 = -2*h. Let o be m\/1 + (4 - h). Sort -7, -1, o in descending order.\nAnswer: o, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-119) - (-10)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 14 - (-1 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2523, 2521, 2517, 2511, 2503?\nAnswer: 2493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*c + 4680 = 196*c. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 48516473*r**2.\nAnswer: r**2*(r + 48516473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3aa3 + 3?\nAnswer: -3aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) -1\/3 (c) -0.08 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/(-6) - (-3)\/9. Let p = 23 + w. Calculate the remainder when 32 is divided by 171\/p - (-2)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(288)\/sqrt(8))\/((1*sqrt(72))\/sqrt(6)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*s)*(-2*s + 0*s + 3*s)*(0 - 2 - 2) - 687*s - 298*s**2 + 687*s in the form o + x*s**2 + y*s and give x.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**19*g*g))**14*(g\/(g*(g**38*g)\/g*g*g*g))\/(g**(-41)*g) assuming g is positive.\nAnswer: g**(-281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2081431765.\nAnswer: 5, 7, 59469479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*m, y + y + 2*m - 190 = 0. Let f(o) = -o**3 + 7*o**2 - 6*o - 9. Let t be f(5). Calculate the greatest common divisor of t and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220560218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = -i. Let c(f) = f**3 + 4*f**2 - 3*f + 5. Let o be c(-5). Sort 5, i, o in increasing order.\nAnswer: o, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 8, t: 5}. What is prob of picking 3 m?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*t + 60 = -620, -3*t + 9 = 0. Suppose -64 = -4*u + 2*u + 3*k, k - 2 = 0. What is the remainder when z is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -396 - -392.5. Let h = k - -3.5. Let m = -0.05 + 0.35. What is the third biggest value in h, 5, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 616 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3829*m**2 + 2369 wrt m.\nAnswer: -7658*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 1233120?\nAnswer: 13564320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + (1 - 1) - 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -33*g + 100. Let o be d(3). Is 61 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d2a89 (base 14) to base 5.\nAnswer: -231413201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 9:32 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -343, 13, 11, 1, -4 in increasing order.\nAnswer: -343, -4, 1, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1626320 - 303?\nAnswer: -1626623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2433576 rounded to three dps?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-490)\/(-98) + (-122)\/(-48)*-2. Is 9 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 848046 and 4902.\nAnswer: 848046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10043155.5328 from -0.1352.\nAnswer: 10043155.3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4086 + 0.416?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + 73. Suppose 2*a = 4*p + f, 5*p + 2*a = -0*a - 212. Let l = p - -39. Put 2, -1, 4, l in decreasing order.\nAnswer: 4, 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 916, 2\/7, 4?\nAnswer: 916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122.55196 - 0.16196. Let l = v + 367.71. Round l to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -12. Suppose -u + 3 = -r. Suppose -2*t = -r*t + 84. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226038277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1757 + 2520. Let j = m - 764. Is -2\/2215 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a61b - 5?\nAnswer: 4a616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from cfqsddsdccmqqmm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4382.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -186025, -372043, -558059, -744073, -930085, -1116095, -1302103?\n\"Answer: p**2 - 186021*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-3 - 2 + 3)*(-3*t - t - 4*t)*(3 - 3 + 2).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 30*j**2 + 15*j - 317. What are the prime factors of t(20)?\nAnswer: 23, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45283\/20 + 2261. Suppose -3895 = 13*c - 723. Find the common denominator of r and (-6)\/33*1*c\/(-16).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4984659*s - 4984659*s + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278898.8 years to centuries.\nAnswer: 2788.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*p - 83355, -4*p + 5*s - 27765 = -5*p. Let q = p - 18607. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -22*c - 6. Let t be z(-3). What is the highest common divisor of t and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6705*f**2 + 509*f - 1.\nAnswer: 13410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -231 + 3?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/70)\/((-15)\/75).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512357851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 + 2*w**2 + 2*w - 2. Let r(b) = -152*b**3 - 8*b**2 + 526*b + 8. Let v(x) = -12*a(x) - 3*r(x). What is the second derivative of v(y) wrt y?\nAnswer: 2880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -367, -830, -1479, -2314, -3335, -4542?\nAnswer: -5935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1379937 and 269256?\nAnswer: 11039496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101 (base 2) in base 14?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -6\/97 (b) -902 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -0.3. Let u = 155 - 154. Put w, u, -0.2 in decreasing order.\nAnswer: u, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 6*w + 4*w + (6*w - 5*w - 2*w)*(-3 + 208 + 36).\nAnswer: -243*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {y: 3, l: 3, k: 1, q: 1, a: 2, s: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 757*b*r**3*z**3 + 2*b*r*z**3 + 2*b - 2*r**3*z**3 + 3*r*z**3 - 10*z wrt r.\nAnswer: 4542*b*r*z**3 - 12*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/1 + 7\/(-14)*-2. Suppose -36*o + k*o - 9 = 0. Is o at most -3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58446.11 decades in months?\nAnswer: 7013533.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b. Suppose -2*q + 24 = l, -l + 5*q + 13 - 3 = b. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 76516\nAnswer: -30606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01718 - 2.21182. Let m = -0.229 - g. Which is the nearest to 0.1? (a) -3\/7 (b) m (c) 2.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose 4*j = c*p + 2, 1 = 3*j - 2*j. Let f(b) = -3*b**2 + b - 4*b + 2*b - b**3 + p. Give f(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*x - 10. Suppose o - 5*o = -3*v - 239, v + 245 = x*o. Suppose 803*n = 5*p + 800*n - 101, 0 = n - 3. What is the remainder when o is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906 + 4306 = 188*x + 136 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1177 + 1181. Solve 0*i + 10 = -i + 2*z, a*z = -4*i + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -416 - -1085. Suppose o + 2*o = -3*w + 399, 5*o = -3*w + l. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from hhhnnnnnnnnnnnnhnnn.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3 - 5. Suppose -5*w = 2*l - r*w + 11, 4*l + 2*w = -2. Let h be l\/(-1) + 1 - -4. What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4\/3, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.2 (b) -1232 (c) 1 (d) 3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = l. Suppose 2*d = -3*f + 172, 5*d - 2*d - 108 = -l*f. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*x - 0. Let b = 44.2 + -43.7. What is the second biggest value in b, 0.8, x, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-2))\/(4 - 2). Let a(t) = t**3 - t + 95. Let l be a(g). What is the highest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6 + 2*t + 4*t - t - 3*t. Let p be d(4). Is p at least as big as 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13529.9 * -0.145.\nAnswer: -1961.8355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 23*a**2 - 87*a - 98. Let z be s(-20). Solve 0 = -471*g + z*g + 116 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -303363\nAnswer: -303369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 37*a**2 - 37*a**2 - 4 + 66*a**2 to the form n*a**2 + c*a + u and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) - -1*sqrt(637) - sqrt(13) - (sqrt(13) - ((sqrt(1573) - sqrt(1573)*-1) + sqrt(1573))**2).\nAnswer: 12*sqrt(13) + 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, -43, -15, -1.\nAnswer: -43, -15, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 times 26?\nAnswer: -0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 153585516 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3 + 165. Let w be 1\/4 + n\/48. Suppose -w*h = 5*y, h = -0*h - y. Solve -3*v + 9 = -h*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5278859?\nAnswer: 79, 66821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-16))\/(252\/(-336)) - (-9 + -5 + 11)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrk. Give prob of sequence jr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029.253 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -5, -1\/34, -0.02, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57342 + -57349.1222. Let w = s - -16.1215. Let l = -9 + w. Round l to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.6 - -4.2. Sort 2\/5, -0.5, b in increasing order.\nAnswer: -0.5, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q + 0*q - 2*q**4 + 2*q - 151 + q**2 + 5*q to i*q**4 + r + m*q**2 + t*q + x*q**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 5*h - 2*h + ((2*h + h - 2*h)*(1 + 2 - 2) - 2*h - 2*h + 2*h + (1 - 3 + 0)*(-13*h + 12*h + 10*h) + 7*h - 2*h - h)*(1 - 1 + 1))*(1 + h**2 - 1).\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + -32 + (197 - 137)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(4\/9))\/(x\/x**(4\/9))*(x\/(x**(2\/7)*x))\/x**(-4) assuming x is positive.\nAnswer: x**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -554, -557, -562, -569?\n\"Answer: -a**2 - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 5. Calculate the greatest common factor of 133 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbxxxxxxxxxxxb. What is prob of picking 4 x?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 + -1?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3108858 and 1914?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 233, 211, 175, 125, 61, -17, -109?\n\"Answer: -7*j**2 - j + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*i = -231 - 148 + 43 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 9*y + 18. Let d be t(8). Let v = d + 10. Calculate the highest common factor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567531 is divided by 283750.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -72*(-41)\/3*(45 - 44)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 19*z**2 + 15. Let d be p(-19). Solve -10*l = -13*l + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 50*p**2 - 95*p - 125. Determine n(-23).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 72 = -16*u, 2*u + 125*s = 129*s - 42 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(-1*2*sqrt(190))\/(2*sqrt(490))*-3.\nAnswer: 24*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**5\/(l*l**(3\/5)*l*l))**(-32))**44)**(2\/107) assuming l is positive.\nAnswer: l**(-19712\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 9:08 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0 - 5\/12*g**4 - 5\/6*g**2 + 1\/12*g**5 + 8*g + 5\/6*g**3. Solve c(j) = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8 or -325.1594?\nAnswer: -325.1594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = -6*r + 22*r - 105 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -2 + (-39 - -40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*m = -193*m + 1374101 + 83654. Solve -40 = 2675*g - m*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 526 + -526.554. Let z = -4.554 - r. What is the smallest value in 0.34, z, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 minus -7995897?\nAnswer: 7995896.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -4 (c) 21 (d) 3\/4 (e) 0.015898 (f) -0.5 (g) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = 22*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 - 13*a + 4. Let u(x) = 15*x**2 + 27*x - 8. Let j(d) = 13*s(d) + 6*u(d). What are the prime factors of j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + 666\/27. Suppose -3*h = h - k. Let l be 2 - (2 - 0 - 0). Sort -5, l, h.\nAnswer: -5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2548, -5095, -7642, -10189, -12736, -15283?\n\"Answer: -2547*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypkhj. Give prob of picking 1 k and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 499057\/19 or 26265?\nAnswer: 499057\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) 0.3 (c) 4.6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 16 = 12*x - 16*x, 2*l + 8 = -2*x. Let v = 6.5 + -6. Which is the fourth biggest value? (a) 13 (b) 5 (c) v (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-593)\/2*-6 - -10?\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12.2 in 687, 1\/34, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1. Let m(v) = v + 7. Let d be m(-8). Suppose 0 = 5*s + 16 + 9. Let u(y) = -1 + 6 - 5*y + 4*y. Give d*u(h) + s*x(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + -1 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**2 - 5*r + 4. Let w(x) = -6*x**2 - 4*x + 3. Suppose 2*g - 5*g = -m - 7, -26 = -4*g - 2*m. Give g*c(z) - 5*w(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1276548*z**2 + 16*z - 7043?\nAnswer: -2553096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 = -0. What is the first derivative of -u - u + o + 2*u - 3*u wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(9) - (sqrt(9)*-2 - sqrt(9)))*4*-5)\/(6*(sqrt(162)*-1 + sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(2))*6 + sqrt(2))).\nAnswer: 5*sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-19277)\/(-74))\/(2\/(-10))*-16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-12) + (-122)\/(-12). Let w be ((-4)\/b)\/(6\/(-5)). Factor -1\/3*t**2 - 2\/3*t + w*t**3 + 0.\nAnswer: t*(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 646*q - 1 + 651*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/(-143) + (-8)\/286. Which is the third smallest value? (a) 27 (b) v (c) -3\/7 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 + 1 + -4 - -18 - 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 24, 3 in descending order.\nAnswer: 24, 3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 436327097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862*i = -9713 + 36435 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24039\/5 + -4808. Which is the fourth smallest value? (a) -2\/5 (b) 15 (c) l (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 19. What is the remainder when 55 is divided by d(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -259\/214?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24989422133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26020 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1352 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 7*j + 35. Calculate p(10).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10624396 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 23. Let k be w(19). Suppose 2*g + 3*u = 6*g - 1, 0 = 4*g - 4*u + k. Suppose 54869 + 261131 = -g*v. What is v rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54803, -109642, -164481, -219320, -274159?\nAnswer: -328998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 12*j**2 + 9*j**2 + 10*j**2)*(-5*j + 0*j - j) to the form w*j + d*j**3 + u*j**2 + b and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (48 - (180 - 68)) + 2 + 20\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89805 is divided by 3209.\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2 + 2*l - 192. Let z(h) = 5*h**2 + 2*h - 192. Calculate 2*f(t) - 3*z(t).\nAnswer: -t**2 - 2*t + 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 30*p + 166 = 0, -4*d - 2*p + 62 = 88 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -540159158.\nAnswer: -540159157.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 48.01554?\nAnswer: 48.01554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 851928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/12 + 11*c**3\/6 + 7*c**2 - 2779*c - 1. What is m(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6975544269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152502898 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/20 - ((-518)\/(-35) + -4)\/(-2). Let u(o) be the first derivative of h*o + 0*o**2 - 3\/2*o**4 + 22 + 0*o**3. What is the derivative of u(m) wrt m?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 9. Let r = -16 - -22. Let c be l(r). Suppose 6 = -c*j + 66. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*w = 203*w - 118*w + 420 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -9282741014 and 2.8.\nAnswer: -9282741011.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 - -284. Let g = y - 125. Let z = 67\/4 - 343\/20. Which is the third smallest value? (a) 11 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20923*m**2 + 492 with respect to m.\nAnswer: -41846*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from {s: 1, x: 5, p: 3}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**2 + 4*f + 4. Let a(t) = -32*t**2 - 11*t - 11. Give -4*a(n) - 11*h(n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139476 and 493712.\nAnswer: 291783792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696836 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - d - 3*d + 268 = 0, 2*d + 186 = 3*s. Suppose 8*x - 12*x = -s. Solve t = -3*v - 3*t - x, -12 = -3*v + 3*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780094 is divided by 390042?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/8*(-8)\/(-120)*5. Let x = 0.04 - 0.34. Which is the smallest value? (a) n (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1149\/29 - 3418\/87. Let x = 1.7 + -2. Which is the closest to x? (a) v (b) -0.8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-64)*8*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0*p + 19*p**3 - 20*p**3 - 2*p - 10*p**2 - 4. Let n be a(-10). What are the prime factors of (200\/n)\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25792690 divided by 4085\nAnswer: 6314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96071 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47188*z**2 + 15718*z**2 + 15734*z**2 + 3*z**3 + 15736*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.58 - -0.42. Let k = 134 + -91. What is the nearest to -2\/7 in j, 2, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 9*a - 63. Suppose -20*r - 201 - 119 = 0. Calculate the remainder when 292 is divided by w(r).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Solve 5*a - 107 = -14*o, -28 + 72 = 418*o - 413*o - 4*a for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 23791673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*q + f + 227, 0 = 3*q + 4*f - 179. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2142 smaller than -2149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 36*x + 43. Let j be w(35). Let u be 29 - ((-5 - 1) + j). Suppose -3*k = -0*k - 78. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/4)\/(-11)*(-12)\/(-21).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89.9 - 94. Let a = u + 3.7. What is the closest to 0 in -0.5, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2045 divide 14750585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 9, 3*n - 5*n = -i + 4780. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149126 = 5*n + p, 5*n - p - 59649 = 3*n. Find the second derivative of -66*t**5 - 29824 + n - 28*t - t wrt t.\nAnswer: -1320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (13 - (-10030)\/(-250)) - 4*-2.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpppfpppffpf. Give prob of sequence pp.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -49130 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 5\/6*u**3 + 0*u**2 + 0 - 30*u. Let l(h) = 13*h + 3. Let f(n) = n + 1. Let o(j) = 4*f(j) - l(j). Determine 3*o(y) + 5*s(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 1. Let b be u(6). Let q be 6 - ((-2)\/1)\/(-2). What is the highest common factor of q and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1071294, -1071293, -1071292?\nAnswer: -1071291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwetetpttk. What is prob of sequence wtpk?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9391 (base 13) to base 7.\nAnswer: 113320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -44, -1 in ascending order.\nAnswer: -44, -33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115.56819601 - -28173583415.56819601. Let w = 28173583681.99999591 - p. Let q = -382 + w. What is q rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 8, -1, -3 in increasing order.\nAnswer: -32, -3, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -479\/8. Let r = -31\/56 + l. What is the biggest value in -16\/7, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -22 - (5 + -1) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 + -3 + 6 - 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 8596*a\/5 + 3440.\nAnswer: -2*(a - 4300)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/(593\/(-20162))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.694 - -16.694. Let j = -11 + 16. Let a = 9.5 - 10. What is the smallest value in t, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -16. Suppose 0 = 5*u + y - 2 - 24, -2*y = 4*u - c. Suppose -57 = -g + 2*i, 2*g - u*g - i = -206. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12474\/115 + 543\/5. Sort -0.06, 2\/9, h, 4\/3 in increasing order.\nAnswer: -0.06, h, 2\/9, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from kmvueukvukeemvmevme.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -104. Suppose -2*i = -f - 13, -24 = 4*f + p*i + 28. Which is greater: -12 or f?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.6 in -3, -43, 0.3, 3\/2, -43\/3?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 6*w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23)*y)\/(y*(y**(-22)\/y*y)\/y) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263*d + 7872 - 7872)*(1 + 0 + 0).\nAnswer: 263*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 - 3*t**2 + 7 + t**2 + t + 9 + 4*t**2 + 20*t**2. Let p(a) be the third derivative of a**5\/20 + a**3\/2 + 2*a**2. What is 2*h(k) - 11*p(k)?\nAnswer: -k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 431837.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 less than -369.659792?\nAnswer: -338.659792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 3903471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + -3)*(-360)\/(-28). Let b = 131 + y. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 42. Suppose 4*a - 6*l + l + r = 0, -2*l = 5*a + 9. Is a\/9 - 6412\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsshiissiifhshiis. Give prob of picking 4 s.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9326.8297 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = h, 23 = -18*h + 22*h + 5*j. Let g(n) = 7*n - 22. Determine g(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + y. Let w be h(-1). Suppose -3*r + 3*d + 1419 = w*r, -3*d + 291 = r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - (-4 - -2)) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46223274*i**2*y**3 - i**2 - 116271621*y**3 wrt i.\nAnswer: -92446548*i*y**3 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6) - (-2)\/4. Let n = 1459523\/140 + -41757\/4. Let y = n + 93\/7. Is t != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 965*l + 20283. Calculate r(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 + 19*y**4 + 1359324*y**3 + 7*y**2 + 4*y + 2520063 wrt y.\nAnswer: 120*y**2 + 456*y + 8155944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/162? (a) -2\/481 (b) 2 (c) -2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -31. Let g be (0\/(-2 + o))\/1. Solve -20 = -4*z - g*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4149 - 0.1449. Which is bigger: y or 0.09?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thooctpotoqthotpot. Give prob of picking 1 q and 2 p.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534 less than or equal to 1534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3769 - -6?\nAnswer: -3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 26*g**2. Let r(c) = 95*c - 30. Let f(q) = -q + 68 - 69 + 4*q. Let t(k) = 30*f(k) - r(k). Determine u(t(v)).\nAnswer: 650*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*a*w**2 + 8*a - 7*w**4 - 2*w**3 - 47 wrt w?\nAnswer: 30*a*w - 28*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 - -119. Calculate the least common multiple of 33 and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 54 + 0 + 3. What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {j: 2, b: 2, q: 1, s: 3, v: 1, l: 8}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 26*s**2 + 831*s - 65. What is p(-32)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418 and 222585.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 7*p + 5. Let y be f(-7). Suppose y*t + l = -3*l + 30, -4*t = 3*l - 23. Suppose t*k + g - 17 = 10, 3*g = -k + 21. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4633 = 2*p - 4649 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-4) + (-542)\/(-32)*4.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111119\/6 - 18584. Let a = -64 - w. Is a at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/88 and -3\/53.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*t - 29 = 0, p - 5*t = -0*p + 17. Suppose -2*g - 10 = -p*g. Let w(o) = -o + 2. Let a be w(g). Solve -4 = 4*l - a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -108, 24, -8, 14, 4 in increasing order.\nAnswer: -108, -8, 0, 4, 14, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78260 - -705800\/9. Let y = -162 + g. Determine q so that -2\/9*q**3 + y - 2\/9*q**2 + 2\/9*q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16740 and 955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 334, 674, 1016, 1360, 1706?\n\"Answer: h**2 + 337*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(11) + (sqrt(11)*2 - sqrt(11)) + 2)**2 + 6*(sqrt(891) - (sqrt(891) - (sqrt(891) + 0 + sqrt(891)))).\nAnswer: 48 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*l + 3*l - 11*l**3 + 36*l + (-4*l + 3*l + 0*l)*(0*l**2 + 0*l**2 - 2*l**2) as p*l**3 + c*l**2 + g*l + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 301*x**2 + 4*x - 6. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13921 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose 3*p = 2*o - v, 3*o + 4*p + 5 = 8*o. Let q(d) = -29*d**3 - 1 + d**2 + 7*d + 17*d**3 - 5*d - 2*d. What is q(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/14 - 1342\/427?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*r = -22, -181*b + 178*b - r + 3 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-5)\/((-60)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 2:48 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = -4*s + 41, -113 - 108 = 5*d + s - 238 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:27 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 2. Let p(m) = -4*m**2 - 3. Let h(v) = -5*d(v) - 4*p(v). Let z(l) = l**3 - 4*l**2 - 5*l - 2. Let q be z(5). Is h(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24*(-1)\/(-3)*1. Solve -d*n = -13*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 220535?\nAnswer: -220540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -286868\/33 at most -8693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20422214 divided by -10211107?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -22*r**2 + 35*r + 17. Let z(b) = -63*b**2 + 105*b + 52. Let q(p) = 17*y(p) - 6*z(p). List the prime factors of q(15).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 2*w - 156. Let f(b) = -b**2 + 1114. Calculate z(f(v)).\nAnswer: -2*v**4 + 4454*v**2 - 2479920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/((-11)\/(132\/18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -297264 and 0.28.\nAnswer: -83233.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f + 456. List the prime factors of f.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/120 + b**5\/10 + b**4\/6 + b**3\/2 - 7*b**2 + 2*b. What is o(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3795966 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/((-1512)\/(-16))*-35.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22160 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -99, -104, -107, -108, -107?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*q + 0*q**2 + 5*q**2 + 0*q**2 - 4*q**2.\nAnswer: q**2 + 57*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16.90164 millilitres?\nAnswer: 0.01690164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 11*u**7\/210 - u**6\/40 - 31*u**3\/6 - 33*u**2 - 2*u. Differentiate b(l) with respect to l.\nAnswer: 44*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207 + 566. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - ((6 - -12) + -10)) + -1 + 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 at most as big as 12.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 + x + 12. Let l be a(-3). Calculate the greatest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*s + 64, 3*s - 2*a - a - 45 = 0. Let q = -33 + s. Let u be (-9)\/((2\/q)\/(-1)). What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 2*p - 1. Suppose -k - 4*k - 5 = 0. Let t be i(k). Let u = 9 - t. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 5*c + 7. Let b be s(5). Let w(r) = 10 + 1 - 3 + 6*r + r**3 - 7*r**2. Let m be w(6). Solve -3*f - 5*p + 40 = -b*f, -4*f - 3*p - m = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120 (base 4) in base 14?\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638755049.\nAnswer: 9791, 65239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 152*v**5 + 261*v**2\/2 + 90. Find the second derivative of c(g) wrt g.\nAnswer: 9120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(858\/55)*-6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 15 = -7*w. Is 2 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 9:26 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(48) + 3 - (sqrt(3) + (sqrt(75)\/sqrt(5))\/sqrt(5) + 2 + (0 + sqrt(3))**2))*-2.\nAnswer: -4*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8) + 507\/(-190) - -3. Let t = 12\/19 - z. Which is the closest to 1? (a) 3 (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39a28 - 10?\nAnswer: 39a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 169 - -5. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/714*6\/(-9)*7\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*r - 128*r = -3572. Let w be (-5)\/(-2)*(34 - 2). Let p be -1 + 0 - w\/(-4). What is the greatest common divisor of p and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 187 = -91 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -421.68 - -420.549024. Let k = x - -1.1129. Let d = 0.018 + k. Round d to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1878 and -23\/18.\nAnswer: 5634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5292 + -967.3292. Let o = 1091 + c. Round o to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 1 - -5) + -8 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 3*o**2 + 3*o + 2. Let z be j(-2). Solve z = 5*a - 7*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/2 - -3)*0. Suppose -4*t - 4 = -s. Let n(l) = -11*l**3 + l + 1. What are the prime factors of n(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**18)\/((s*s**(-14)\/s*s)\/s)*s**4\/s*s**3*s assuming s is positive.\nAnswer: s**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 2*f - 3. Let k be j(-1). Suppose k = -n + 3*p + 278, -2*n = 5*p + 250 - 784. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42462*c**2 + 113829 wrt c?\nAnswer: 84924*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -399*q**2*t**2 - q**2*t - 14*q*t + 2*t**3 - 3 wrt t.\nAnswer: -798*q**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21010 (base 3) to base 9.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2050 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/5)*t*t**(-6))\/(t**(-3\/4)\/(t\/(t*t*t**7*t))) assuming t is positive.\nAnswer: t**(-237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-18)\/81)\/(1\/9). Solve 3*d**p - 10\/3*d**4 + 19\/3*d**3 + 4\/3 - 16\/3*d = 0 for d.\nAnswer: -1, 2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 273*x**2 + 4370*x + 309. Calculate u(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 176*q - 1257. Is g(64) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*q**2 + 16*q**2 - 34*q**2 + q**2 - 16*q**2.\nAnswer: -76*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*j + 16966 = 0, 5*o - 4208 - 24062 = -2*j. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k**3 - 3*k**2 + 2*k - 6. Let u be o(-3). Let r = u - 184. Solve -2*b = -3*w - 6 - 6, 0 = 5*w + 5*b + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1723*h. Let q(k) = 2144*k**2. Calculate q(x(c)).\nAnswer: 6364954976*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 + 8*a**2 - 12*a - 2. Give t(4).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169548980.\nAnswer: 2, 5, 8477449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1583 divided by 306380.\nAnswer: -1583\/306380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o = 30*o. Is 4\/61 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -20. Let q(d) = 10*d + 36. Let g be q(-4). What is the second biggest value in g, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzdd. What is prob of sequence zdd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**4\/4 - 7*r**3\/3 + 7*r**2. Let v be c(4). Calculate the greatest common factor of v and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose h*x = 147 + 273. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6591715 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*o**2*r**2 - 545*o**2*r + 16*o**2 + 56*o*r**2 + r**2 wrt r.\nAnswer: -54*o**2 + 112*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:16 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40625742*n**4 + 25210*n - 132 wrt n?\nAnswer: -487508904*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 10. Let g(r) = r + 1. Calculate -6*g(o) - n(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 335637431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 78, 89, 114, 159, 230, 333, 474?\n\"Answer: h**3 + h**2 + h + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4322, 4184, 3984, 3692, 3278, 2712?\n\"Answer: -5*o**3 - o**2 - 100*o + 4428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + 5*y - 9, -3*p = 2*y + 1. Let o = 1 - p. Let a(s) = -4*s + o*s + 5*s. Calculate a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -151936 + 151935.999935293. Round a to seven decimal places.\nAnswer: -0.0000647","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.2 + -37. Let k = -7.3 - i. Let z = -2.49999926 + k. Round z to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 2*r**2 - r - 1. What is u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.74 + -0.74. Sort a, -1, 19.\nAnswer: -1, a, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 187, 0, -6\/11, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*b**6*z + 2*b**4 + 8*b**3*z**2 + 71*b**2 - 227*b*z**2 wrt b?\nAnswer: -4080*b**3*z + 48*b + 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280492?\nAnswer: 2, 70123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -568 and -124 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuyuuuyuuuu?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - ((-120)\/6)\/5)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 22*v**3\/3 + v - 7. What is the tens digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - l - 6 = 4, -3*t = -l - 15. Solve 0 = -t*v + v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21984818711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - 2*x - 109 + 235, -x + 1 - 1 = 0 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2365, -2361, -2353, -2341, -2325, -2305?\n\"Answer: 2*r**2 - 2*r - 2365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23602656 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26\/5*m**2 + 2\/5*m**3 - 72\/5 + 16*m = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-318)\/(-265) - (1254\/(-55))\/(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-25) + 155907\/25475?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 + 7 = 0. Suppose 0 = -l + 6*l - 10. Let o be 0\/(l - (-2 - g)). Solve 2*q + 2*q = o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*p = 5, 6*w + 3*p = 2*w + 3. Let h = w - -14. Let g = h - -17. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35056223 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 656988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*r + 4*r. Let i be r*4\/(-8) + 5. Suppose 0 = 5*z - 2*w - 25, 5*z + 5*w = -i + 32. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.44 - 0.435. Let o = -3.295 - f. Let i = o + 3.27. Is i at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:32 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 3:50 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1 + -6. Let z = 1538055.3000003 - 1538056.2. Let l = z - k. What is l rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11201 (base 3) to base 12\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(104)\/sqrt(8) + sqrt(13) + sqrt(13) - -3*sqrt(1573)) + (sqrt(117) - (-1*(-1 + sqrt(117)) + sqrt(117))**2 - sqrt(117) - (sqrt(117) + 2)*-6).\nAnswer: 11 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(243)))**2 + (sqrt(243) + 2 + sqrt(243) + -1)**2 + 2*sqrt(243)*5 + -5 + 2*sqrt(243).\nAnswer: 144*sqrt(3) + 1940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.67 - 0.17. Let n = 16 + -15. Which is the second biggest value? (a) 2\/11 (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*-1*(1 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) -2\/13 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0 - 2. Suppose -4*j = -5*h - 18, t*h = -4*j - 2*h. Suppose -j*b + 34 = -22. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + x, -5*v - x + 100416 - 100418 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*(-24)\/36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000459548 to six decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2378*l + 195. Let k(h) = 476*h - 35. Give -11*k(p) - 2*v(p).\nAnswer: -480*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -48 (b) 4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 17.2. Which is the nearest to m? (a) -2 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5\/3 - 28*a**4 + 80*a**3\/3 = 0. Calculate a.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/30 + 2\/(-6). Let z be 15\/(-5) - (43 - 1). Let o be (-13)\/(-18) - (-10)\/z. Which is the nearest to 0? (a) o (b) p (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**4 - 3*u - 14*u**4 - u**2 + 2*u - u**3 + 11*u**4 - 196 in the form g*u**2 + v*u + q + b*u**3 + o*u**4 and give q.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m, -39*m + 30 = 3*k - 37*m. Solve k*w + a - 7 = 3*w, -a - 3 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 520 divided by -18\nAnswer: -260\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -0.951?\nAnswer: 0.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**2 + 4*p + 3. Let y be v(3). Suppose 406 = 753*u - 760*u. Is u > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncx when three letters picked without replacement from lxcxlxxnllxxxxxcq?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fov when three letters picked without replacement from {m: 7, f: 3, o: 2, h: 1, v: 6}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -3*n + 3*g, 4*n + 0*g - 364 = -2*g. What are the prime factors of n?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/4)\/q)\/q*q*q)**13)**(1\/2) assuming q is positive.\nAnswer: q**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 581823467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/(sqrt(20)\/sqrt(2)))**2 - (sqrt(72) - sqrt(72)*-2)\/sqrt(6)) + ((3*sqrt(96)*3)\/sqrt(2))**2)*3.\nAnswer: -18*sqrt(3) + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 + 47*b + 15. What are the prime factors of p(12)?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14622 divided by -2.\nAnswer: 7311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -130 - -130. Let m = -3 + -2. Let v = -8 - m. What is the smallest value in a, 6\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 2:46 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 3\/5, -17, 1\/19, -19.893 in decreasing order.\nAnswer: 3\/5, 1\/19, -1\/5, -17, -19.893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(248\/(-1023)*-11)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2581 is divided by 1277?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 317856 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-376)\/(-24))\/((-12)\/(-18)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(20\/52) - (-2)\/5. Suppose -4 = -2*o - n, -10 = -4*o + z*n - 4*n. Solve -28 = 4*p - 4*j, o*p + 4 = -j - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((2 - -2) + 1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/(-75) - 84\/1050?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - -100. Let f = c - 134.9933. Round f to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -474\/175 and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.51 + -0.11. Let q = 122 + -239\/2. Let a = -128 + 128.2. What is the biggest value in q, b, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6537552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45598a (base 11) to base 5\nAnswer: 141202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8583 is divided by 305.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71918 and 1.\nAnswer: -71918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 91, -8, -2 in descending order.\nAnswer: 91, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*l - 4*g + 1, 0 = 5*l + 3*g - 2. Let u = 3 + l. Suppose -4*t - t + 5 = 0, u*z + 5*t = 29. Solve -2*w - z - 2 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13\/(-13))\/(1\/(-3)). Suppose 84 = 4*p - c*p. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlslx. Give prob of picking 1 s and 2 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(65\/(-13))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/36)*x)**(-2\/17)*x**(-15)\/x**19 assuming x is positive.\nAnswer: x**(-10441\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + f**4 + 0*f**3 + (5*f - 3*f - 3*f)*(-3*f**3 + 0*f**3 + 2*f**3) - 3*f**2 + 3*f**2 - 3*f**4 + (-36*f + 8*f + 9*f)*(-f + 5*f**3 + f).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/167 (b) -2\/5 (c) 2 (d) 30 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 11. Let n(y) = -y**2 + 8*y - 3. Let m be n(x). Solve 1 = l - 0*l, -2*l + m = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1836*r - 31361. Calculate k(17).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 6. Find the second derivative of 2*s - 5*s**3 + 5*s**j - 2*s**4 wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 6. Let t(s) = -s**3 + 14*s**2 + s - 11. Let z be t(r). Suppose -z*i + 643 = 3*f - f, 3*f - 859 = -4*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 - 2 - (44 - (-24 - (-8 + 2))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-18)*i\/(i**3*i) assuming i is positive.\nAnswer: i**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 19 = -13*g, 5*g + 63*t + 1 = 59*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-26)*(3 - -1). Solve -4*c = c - 4*m - 20, -c = -s*m - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8966 and -2.\nAnswer: -8968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j + 1. Let u(z) = 4*z**3 + 14*z**2 - z - 6. Let n(o) = -2*q(o) + u(o). Does 14 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5057*k - 8. Let z(a) = -2250362*a + 3562. Calculate 1781*i(g) + 4*z(g).\nAnswer: 5069*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3727339677 to the power of 1\/3, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16328.9952us in weeks?\nAnswer: 0.000000026999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (-29 + 58) - -20) + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 0*a - a**2 + a**3 - 3*a + 1 + a. Let s be w(1). Let o be (-15000)\/45*s*30. What is o rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1178699219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6*v + 6)*(-1 + 6 - 3 + (-5 + 3 + 4)*(4 - 6 + 0))*(-23 + 9 - 8) as j + m*v and give m.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 248 in descending order.\nAnswer: 248, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - -58. Calculate the remainder when n is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0439 - -0.0561. Which is smaller: -0.011 or z?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*x + 46 = 0, -2*x + 0*x + 44 = 2*w. Let j = w + -20. Let l be (-42)\/(12\/(-4)) - j. Calculate the greatest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2634 + 40 - 73)*(2*u - 5 + 5) to the form v + q*u and give q.\nAnswer: 5202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + 410.\nAnswer: 409.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) 0.5 (c) -24 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 3*v**5\/10 - v**4\/2 - 7*v. What is the third derivative of q(t) wrt t?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**2 - 3. Suppose 0*s - 5*h = 5*s + 10, 5*h + 25 = 0. Let w(g) = -s*g - 3*g + 18*g - 3*g - 7*g. Determine n(w(r)).\nAnswer: 36*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11543 - -11551. Put v, -6, -10\/9 in decreasing order.\nAnswer: v, -10\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 5. Determine g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.96 - 0.04. Let s = 7 - -8.8. Let b = 16 - s. What is the second biggest value in -2\/19, b, -2, n?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19970 and 17351933.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8127*t + 3*t**3 - 8127*t + 1 - 29*t**4)*((0 + 0 + 2)*(-t + 0 + 0) - 23*t - 8*t - 11*t).\nAnswer: 1276*t**5 - 132*t**4 - 44*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*f + 3)*(0 + 2 - 1) + 1276 + 1386 - 3046 - 12*f to m*f + w and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, 10, 19, 30, 43, 58, 75?\n\"Answer: p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 2*h - 184 + 205, h = 2*j - 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/2, 4, 7\/132, 10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(20 + -8). Let h be d\/(-9)*12\/2. Let w be (-44100)\/(h\/8*-3). What is w rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1, -31, 5 in decreasing order.\nAnswer: 5, 3, 1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 - b**2 - b - 3. Let p(c) = -3*c**2 - 9*c - 3. Let l(y) = 4*p(y) - 18*v(y). Differentiate l(x) wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 13. What is z(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7)*3) + sqrt(3) + (-1*sqrt(3))**2*-3.\nAnswer: -9 + 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 4) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 4. Let i(x) = 40*x + 20. Let f(s) = -5*c(s) - i(s). Let r(m) = m - m + 2*m. Determine f(r(y)).\nAnswer: -90*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -69. Let a be (0 - -5)*(-45)\/(-75). Find the common denominator of t and a\/21*(-3 - -16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbw when three letters picked without replacement from {w: 5, b: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*b + 1735*b - 42548 = 0 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:02 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -1\/4, 4, -20489.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -201324114?\nAnswer: 201324103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 40 = -9*b. Let k(y) be the third derivative of 1\/3*y**3 - 1\/120*y**6 + 1\/30*y**5 + 0 - 6*y**b + 1\/6*y**4 + 0*y. Calculate k(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 7:08 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n - 12. Let q be h(-11). Suppose 2*m = -55 + q. Let k(w) = w**3 + 5*w**2 - 6*w + 4. Give k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*j**4 + 6*j**2 + j + 28681 with respect to j.\nAnswer: -192*j**3 + 12*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 53. Find the common denominator of (-4)\/l + (-504)\/(-110) and 47\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156939 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, 5, -0.015041, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11765609 + -11765659.999934. Let i = 51 + q. What is i rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4432, -4672, -5072, -5632, -6352?\n\"Answer: -80*c**2 - 4352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*w + 12, -146*w + 150*w + 12 = 5*t. Let i(c) = c + 1. Let q(o) = 2*o + 6. Let s(m) = -3*i(m) + q(m). Give s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 355 - 196. List the prime factors of d.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(3\/(-1) - -1). Suppose k - 2*f = -13, -z*f = 5*k + 17 - 4. Let b(x) = x**3 + 6*x**2 + x + 7. What is the units digit of b(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {p: 2, k: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*v - 141*v - 2807 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.54 and -0.05.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (34\/1)\/(15368\/7232)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 16 = 24*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160 - x + 333 + x**2 - 168)*(4*x - 32 + 6*x + 32).\nAnswer: 10*x**3 - 10*x**2 + 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-295)\/(-6)*(318\/(-265))\/(-1)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*z + 20, -2*z - 28 - 2 = -2*x. Let q be 26\/(-6) + z\/(-60). What is the closest to q in -4, -5, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14352257, -14352231, -14352201, -14352167, -14352129, -14352087?\nAnswer: -14352041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2. Let i(s) = 19*s**2 - 16*s + 35. Let h(k) = i(k) + 2*v(k). Is 18 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j + 4*i - 467, 5*j - 3*i = 2243. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-162))\/((-84)\/54*360\/192).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28628 and 1168512?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -7, -6, -4 in descending order.\nAnswer: 1, -2, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Let f(h) = -v + 2*h + 3. Let o(k) be the third derivative of k**5\/15 + k**2. Calculate f(o(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + (-5*(3*sqrt(510))\/sqrt(10))\/((1*sqrt(30))\/sqrt(10) + 2*(-1*sqrt(3) + sqrt(3))).\nAnswer: -15*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100929824 smaller than 100929818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(300) + sqrt(300))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 + -1 + (-17 - -16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8539.69 decades in millennia?\nAnswer: 85.3969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**6\/255 - m**5\/170 + m**4\/51 - 33*m - 76. Let x(g) be the first derivative of q(g). Factor x(f).\nAnswer: -2*f**2*(f - 1)*(f + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3)*3\/9*-9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 19*h. Let a = 0 + 3. Suppose -a*c - 2095 = -5*w, 5*c = -w - h*w + 419. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.7923km in meters?\nAnswer: 291792.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 270 + 270 + (k - 12*k - 2*k)*(2 + 2 - 2 + (-1 + 1 + 2)*(3 - 3 - 1) + 4 - 4 + 6).\nAnswer: -75*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 66 = 4*m + 94, c = 5*m + 32. Put 4, -7, c in decreasing order.\nAnswer: c, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:55 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -336536\/5, 0.2, 0 in ascending order.\nAnswer: -336536\/5, 0, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*x = t + 339, t - x = 335. Suppose 5*n + 2*a = t + 765, a = 5*n - 1107. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200698873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) 0.3 (c) 0.158 (d) -4 (e) 5 (f) -13.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 + 1. Let b(c) = -35*c**3 + 28*c**2 + 28. What is -b(u) + 28*f(u)?\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700) + -1)**2 - (sqrt(1700)*2 - sqrt(1700))**2.\nAnswer: -40*sqrt(17) + 5101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 23 = -12*f + j, -5*f + 3*j = -2*f - 3*j + 3*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -6ab?\nAnswer: -6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 60, -63 in descending order.\nAnswer: 60, 2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/((-450)\/155) + 8\/(-20). Put 0, p, 3\/7 in increasing order.\nAnswer: 0, 3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24978 is divided by 7464?\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p - x - 7, 5*p + 7 = -4*x. Let f(m) = m + 1. Let t be f(p). Suppose -4*z + z - t = 2*u, 0 = -u - 1. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2 - 2 + (36 - 13 - 17)*(4*m + 0*m - 6*m))*(4*m**2 - 4*m**2 - 2*m**4).\nAnswer: 30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8111 and 5.54.\nAnswer: -8105.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 6*z + 5*z**5 - 15*z + (-4 - z**4 + 4)*(z + 0*z - 3*z) - 3*z**3 + z**5 + 3*z**3 + (5 - 5 + 3*z**3)*(3*z**2 + 0*z**2 - 5*z**2).\nAnswer: 3*z**5 - 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.93 + -0.07. Let n = d - -10. Which is the closest to n? (a) -2\/19 (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -63 (b) -6\/11 (c) 2 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 10. Suppose 4\/7*p + 0 - 6\/7*p**5 + 2*p**4 - 6\/7*p**b - 6\/7*p**3 = 0. Calculate p.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 2*n = -345, -2*n = -2*p + 228. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*n - 32, -7*n = -2*n + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i**3 + 177*i**2 - 27*i + 141. What is z(18)?\nAnswer: -1317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/3)\/(3 + 1131\/(-234))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1659 + 932. Let l = t - -728. Let u = 0.1 - 0.6. Which is the closest to -1\/2? (a) l (b) 12 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.9 - -12. Let p = 0.2 - 0.1. Is s < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7155877 and 16.\nAnswer: -11.4494032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32015 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -158, -609, -1360, -2411?\n\"Answer: -150*q**2 - q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 3. Let p be f(1). Suppose -4*a = 5*i - 872 - 1059, 0 = p*i + 5*a - 769. What are the prime factors of i?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -m + 12*v - 16*v, -3*m = -v + 3. Suppose 3*j + m*q = -5*q + 1085, q + 1439 = 4*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s**2 + 3*s**2 + 25*s**2 + 19063*s**3.\nAnswer: 19063*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + ((sqrt(605) + 5 + sqrt(605) + -3)*-6 + (sqrt(605) - (sqrt(605) - (sqrt(605) + -1)))*3 + 4)**2.\nAnswer: 2178*sqrt(5) + 49130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 l when four letters picked without replacement from {r: 1, l: 6, n: 2, i: 3}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34465619?\nAnswer: 34465619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v - 4*v - 2*v - 2*v.\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-9 + 27 - 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/26 and 46\/39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.46. Which is the nearest to 0.05? (a) -2\/9 (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 24.6 (b) 2 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.164 (b) -0.2 (c) -0.3 (d) -227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 3. Calculate j(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4\/(-48)*6)\/((-4)\/221096)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 6*t + 6. Let v(q) = 1. Let f(k) = -r(k) + 2*v(k). What is the tens digit of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -1538931603*q**2\/7 + 92407920*q\/7 - 1387200\/7 = 0?\nAnswer: 680\/22649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-4))\/(-11 + 296\/32))\/2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 8:42 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -900 - 715. Calculate the remainder when (-8356)\/(-38) + (-170)\/i is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84490 divided by 16898?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -153.08 + 172.0844. Let n = -15 - 4. Let y = n + a. What is y rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.03 + -2.081. What is q rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4 and -61\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.168529 - 0.168. What is w rounded to five dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186215 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amllalmmnlaml. Give prob of picking 2 l.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -6 + -3 + 0 + 31. Suppose 3*b - 5*p = b + k, -3*p = 4*b - 8. Solve -5*g + b = -15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1145750*v**3 + 12*v + 7413.\nAnswer: 6874500*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1071597407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3874, -30991, -104630, -248059, -484546?\n\"Answer: -3878*l**3 + 7*l**2 + 8*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2520 divided by -35?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-224)\/24*(-3)\/2. Suppose -2*v + p = -0*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 4:41 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4048598.96 rounded to the nearest 100?\nAnswer: 4048600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 30 = 12. Solve -1 + 7 = w*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-40) - 26\/(-5). Let n = -38 + 41. Put n, -1, i in descending order.\nAnswer: i, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 347317515*b**5 - 8735*b**2 + 332*b - 16 wrt b?\nAnswer: 20839050900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 78\/(-21)) + (-10)\/(-35). Let x = u + 30. Let a = 49 + x. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1185, -1183, -1185, -1197, -1225?\nAnswer: -1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -3312250292.3?\nAnswer: 3312250296.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91282223.\nAnswer: 91282223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d + 240 = -5*r - 8*d, -9*d = 4*d - 260 - 221 + 195 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9029 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3\/13, 8 in increasing order.\nAnswer: -27, 3\/13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -330 - -400. What is the greatest common factor of p and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657463151.\nAnswer: 17, 2274959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4*f + 0*f + (2 + 4 - 4)*(4*f + 2*f - 5*f) + 0*f - 4*f + 3*f - 3*f + 3*f + 2*f)*(260*f - 3*f - 73*f).\nAnswer: 920*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -564 - -1131. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d + 1229 - 1342 = 3070 + 1819 for d.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14055550 is divided by 2688?\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**3 + 4384*k**2 + 1523*k - 44597. Calculate g(731).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -46*r. Let o(t) = -31*t. What is 5*h(p) - 7*o(p)?\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226 + 110736*d**3 + 226.\nAnswer: 110736*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 22*a + 1. Let l be u(10). Let q = l + 24. Suppose 2*p = -q*r - 0*p + 318, -p + 4 = 0. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - -20414?\nAnswer: 20400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1512 (base 12) to base 11.\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8*w + 2118 = 0. Find the second derivative of 14 + 732*u**5 - 4*u + w*u**5 - 1407*u**5 wrt u.\nAnswer: 620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 5*v**2 + 2*v + 3*v**2 in the form o*v + g*v**2 + f and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(-6)\/(1 + -4). Let l = -7 + a. Let g(v) = 5*v. List the prime factors of g(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.49007 - 2.3866. Round o to three decimal places.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from bebebqqbeveeqvveelb.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.08, -0.07, 5, -1\/4, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, -0.07, -0.08, -1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3082*i**2 - 3071*i**2 + 6158*i**2. Let a(x) = -26*x + 5. Determine a(m(v)).\nAnswer: -130*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*sqrt(22)\/(sqrt(2) + sqrt(20)\/sqrt(10)*2)*-3)**2 + 4.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9268.582 grams?\nAnswer: 9268582000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1302 + 2208. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8094 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 11) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29951399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 223 - -1707. Calculate the remainder when u is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -43 (c) 0.28 (d) 935 (e) 3\/4 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oddvdddvvrrvd. What is prob of sequence rdr?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 - 118*r**2\/3 + 224*r\/3 + 32\/3 = 0. What is r?\nAnswer: -2\/15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*n - 138, 2*n = 2*m - 41 - 27. Suppose -r - k + 19 = 0, -5*k - 23 = -4*r + 26. Is 24 a factor of (r - 20)\/((-2)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 45*d = 40*d - 130, 0 = -h + d + 39 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 25205*r + 126052. Determine u(-5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w - 3*p + 37 - 13, w - 13 = -2*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1857*a**3*z**2 - 2*a**2*z**2 + 20*a**2 + 3*z wrt a?\nAnswer: -11142*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/25 (c) -26 (d) -1482\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u = -62 - 113 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1208, -4833, -10876, -19331, -30192, -43453, -59108?\n\"Answer: k**3 - 1215*k**2 + 13*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 26.16?\nAnswer: -287.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 (base 15) in base 6?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 19*g**2 + 209*g - 5722. What is z(22)?\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*j = 3*f - 8, 2*f = -j + 8. Suppose 0 = -f*t - 2*s + 196, 3*t - 3*s - s - 169 = 0. Calculate the remainder when t is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 67383846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*x + 3*u, 22*u + 4 = 2*x + 19*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4715 + 3369. Let q be (-5066)\/4*1*-2. Let u = q + y. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23870.8 + -23871. Let g be (-16564)\/(-1708) + (-2)\/(-7). Let o = -10 + g. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 4*j - 2, 4*j + 14 = 5*s. Find the second derivative of -s*r**2 - r - 10*r - 3*r wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233796.3 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from qqqqtqqqaqqqqqqqqqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19744 is divided by 139.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 6*w + 4*u - 38 = 0, 4*u = 2*w + 28. Solve 47*m - 43*m - 24 = -4*k, m - 10 = -w*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*f = 4*f - 7, -4*p - f = 7. Let w be 29*4*(-132)\/176. Let y be p + w*1\/(-45). Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(sqrt(539) + -1 - sqrt(539)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118860 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 2 + 4 + h**3 + 12*h - 10*h**2 + 0*h**3. Let n be l(9). Suppose 0 = -5*q + n*q + 6. Solve -o - q = 4*m, -3*o + 2*m = -m - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20682 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) + sqrt(2160)*6 + sqrt(2160))\/(sqrt(30)\/sqrt(810)).\nAnswer: 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10*q**2 - 20*q - 1. Let z be n(7). Let i(o) = 3*o**2 + 6*o - 5. Let g(l) = -4*l**2 - 7*l + 6. Give z*i(m) + 5*g(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (960\/(-144))\/(2\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -147, -135, -97, -21, 105?\n\"Answer: 2*x**3 + x**2 - 5*x - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -383 in ascending order.\nAnswer: -383, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*p + 35 = 0, -3*p - 25 = -38*j + 40*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -29. Let u = g + -27.5. Let v = u + -9. Round v to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63948547?\nAnswer: 13, 19, 89, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.559874 centuries to months.\nAnswer: 11471.8488","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/12)\/((-238)\/3). Let z = -21741227\/174216 - -105443\/732. Let y = z + s. Calculate the common denominator of -25\/22 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20882803 is divided by 4176553.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1992)\/(-2988))\/((-23)\/3).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157852 by -2.\nAnswer: -78926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 - 0.01. Let a = 0.2 - 0.1. Let r = w - a. What is r rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 - (-2 + 5 + -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52, -125, -198?\n\"Answer: -73*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1371\/54)\/(2\/6). Let x = i - 76. What is the smallest value in 4, 2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/8)\/((-25)\/(-100)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 11) to base 10.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 7*w**2 + 9*w. Let u be d(6). Suppose 0 = -8*v + 234 - u. What is the smallest common multiple of v and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eew when three letters picked without replacement from ekverrrrw?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1953*10807.\nAnswer: 21106071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1684, 1688, 1694, 1702, 1712, 1724, 1738?\nAnswer: 1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*g**3 - 24 - 2*g + 957339*g**2 - 2*g**3 - 957340*g**2 to r*g**3 + q*g**2 + y + t*g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.99 - -2.033. Let j = f + 0.057. Sort j, 2, 18, 0.5 in ascending order.\nAnswer: j, 0.5, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r + 2*w + 58, -5*w = 2*r + 40. Let d = -20 - -5. Let z = r - d. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/8*((-20)\/30)\/(4\/24)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*i**3*t*u**3 + 24*i**3*u + i**2*t*u**3 + 3*i*t*u**2 + u**2 wrt u?\nAnswer: -522*i**3*t + 6*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuububbxuugubbwzbbuu. What is prob of picking 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = y, -4*y - 3*d - 11 = 2*d. Let l = -2 - 8. Let v = y - l. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 1. Calculate b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 126 - 267 + w**2 + 136 - 7*w. Let z be t(8). Solve -5*m + 2*s = -21, 0*m = -z*m - 2*s + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3) + (-2)\/(-3). Suppose 2*l + u*i = -i + 1, 5*i + 3 = -l. Let y(s) = -s - 2 - 1 - l. What is y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -169, -188, -215, -250?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*f + 7965 = 0, 2*f - 6342 = 4*i - 0*f. Let d = -1049 - i. Find the first derivative of 4 - d*k**4 + 557*k**4 - 19 - 12 wrt k.\nAnswer: 72*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*o + 90 = -g, -2*g + 4*o = -54. Find the third derivative of 41*r**3 + g*r**3 - 2*r - 17*r**3 + 22*r**2 + r**3 wrt r.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.888521545 rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1328*y - 4019*y + 1350*y + 1336*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 20 + 76. Solve 4*v = 2*z - 18, -5*v - 5*z - w = -z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + (9 - 6) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -1)*4\/(-6). Is 16 a factor of 18\/((q\/((-2)\/(-2)))\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -19*u**3 + u**2 + 2*u - 1. Let r(c) = -3*c**3. Suppose -2*t + 6*g - 2*g - 4 = 0, -3*g = -t - 6. Let f(y) = t*r(y) - s(y). Give f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**3\/13 - 66*s**2\/13 + 86*s\/13 - 30\/13.\nAnswer: 2*(s - 5)*(s - 1)*(5*s - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let z be (4 - 10)*s\/(-12). Calculate the remainder when 128 + (-4 - z) + 2 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 86ca + 17337?\nAnswer: 22a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:08 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1 + 6*j - 8*j - 1 - 7*j**2. Let r be l(-2). Let p be r\/(-12) - (0 - 4). Solve t = p*t + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4343 - 1?\nAnswer: -4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 156263 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0*a + 1\/24*a**4 + 5\/3*a**3 + 0 - 2*a**2. Calculate the remainder when 28 is divided by n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 57 (c) 1\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5884 - -259?\nAnswer: -5626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:29 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*w**6 + 5947*w**3 + 113825*w**2 wrt w.\nAnswer: 2040*w**3 + 35682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -18, -15, -12, -9?\n\"Answer: 3*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*f - 2*b, -82 = -3*f + b - 10. Suppose h + 4*h = f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 0.141.\nAnswer: 2.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d + 3*f - 87, -97 = -3*d - 5*f. Let s be 6\/(-4)*d\/9. Put s, 0.5, -1 in increasing order.\nAnswer: s, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Suppose 0*y - 3*y - 117 = 0. Is -1 + (y - u)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1236*s - 12. Let d(t) = -1235*t + 13. Calculate 11*d(o) + 12*n(o).\nAnswer: 1247*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 14*k**3 + 4*k**2 + 6*k - 38. Does 8 divide p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 174581 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 497483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 973.99427 - 974. What is o rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 6 - 1)*(-3 + 19*m + 9*m - 20*m).\nAnswer: -120*m + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (3 - 18)) + (-6 - (0 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1144194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1807 - -0.0193. Let w = 0.0592 - -4.9408. What is the nearest to -1 in 0.1, w, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, z: 1, e: 1, s: 1, c: 2}. Give prob of sequence bbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 76. Let v(k) = k + 9. Let z be v(-18). Sort 2, z, n.\nAnswer: z, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 22 = 7*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1316 - -1321. Solve o*y = 2*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u = -20. Suppose -u*d + 3*d = -72. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 3, y: 1, s: 6, u: 1, e: 1}. Give prob of picking 1 y, 1 o, and 2 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5393, -10814, -16261, -21734, -27233, -32758?\n\"Answer: -13*i**2 - 5382*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25501673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683516 is divided by 170879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186769381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*n = 527*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -75. Suppose 3*r = 4*r - 90. What is the highest common factor of o and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 3*w**2 - 2*w**2 + 269*w - w**2. Let f(x) = x. Calculate l(f(y)).\nAnswer: -y**2 + 269*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - -2.97. Let t = d - 2.9. Which is the closest to t? (a) -2 (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649686580 rounded to the nearest one million?\nAnswer: -650000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215 - -224. Suppose q + 4*m = 2*m + 372, 3*m - o = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4692, 9380, 14068, 18756, 23444, 28132?\nAnswer: 32820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + -1*sqrt(125)*-3.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let g be -2*(1\/(-80))\/(-1). Let i = 7\/40 - g. Is n less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**2 + 31*f**2 - 18*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/78*9\/(-24)*-4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -14*l**6\/3 - 3*l**5\/10 - 363*l**3 - 4*l - 384. What is the second derivative of x(q) wrt q?\nAnswer: -1680*q**2 - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 661*a*h**2*x - 4*a*h**2 + 5621*a*h*x - 615*a*h - 12*h**2 with respect to x.\nAnswer: 661*a*h**2 + 5621*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 8. Let a = 56 - 55.5. Let z = 6224\/17 - 366. What is the smallest value in h, z, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4510 divide 1809407490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2 - (-36)\/2. Suppose 3*h + 12 = 0, -h = -4*v - 0*h + t. Suppose v*c = 40 + 12. Calculate the greatest common factor of c and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 4. Let h be k(0). Let j = -1 + h. Let r(v) = -v**3 - 189*v**2 + 1882*v - 888. Let i be r(9). Solve -5*n - i = -j*u, 0 = -2*n - 6 - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5\/2 - 27510*g**4 - 220103*g**3\/2 + 192579*g**2 + 275120*g = 0?\nAnswer: -5, -1, 0, 2, 55024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -19*h**2 + 5850*h - 11092. Determine j(306).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 5*t - t. Suppose -4*y + 163 = -2*g + 3*g, 2*y - 3*g - 99 = 0. Suppose -y*a - 152 = -80*a. Solve -4*v + 10 = -a*p + 2*p, -t = -5*p - 4*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6173 + -6147. Solve 31*d + 2*c + 13 = b*d, 3*d + 2*c = -11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41246842 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2301 - 12133021?\nAnswer: -12130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 3. Suppose -26*g + 21*g - 1680 = 0. Let q = -332 - g. Solve -q*a - 45 = -d*r, a = r + 2*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -311)\/(80\/912). Let o = -3558 - t. Find the common denominator of 79\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12*s. Let g(z) = z**2 + 5*z - 76. Calculate g(m(r)).\nAnswer: 144*r**2 - 60*r - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from {u: 7, t: 1, w: 5}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(6\/11)))**(2\/53)*((x*x**(-5))\/x)**(-3\/22) assuming x is positive.\nAnswer: x**(819\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24400*s + 24209*s + 1528 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7303*b**2 - 30355*b wrt b.\nAnswer: -14606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 71577.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 17*q - 4*q**2 - 17 + 3*q**2 - 3*q. Let l be s(-17). Solve l = 5*n - p + 13, 2*n - 3*p = 5*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.1 (b) -4 (c) -2\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (0 + -3)) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-3)\/9 + -2. Let o = c - -1. Suppose o*n - n = -9. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(-3056*a + 568*a - 1755*a).\nAnswer: -12729*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c + 2. Suppose -11 = 9*g - 20. Determine l(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10235309, -20470607, -30705905, -40941203, -51176501, -61411799?\n\"Answer: -10235298*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 339250164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21991038 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -5, -3, 4\/3.\nAnswer: -5, -3, 0.8, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzg when four letters picked without replacement from wzkkzkgzwkkgezwk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*u + 122*u + 159*u - 10*u + 52*u to the form x + o*u and give o.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacacccaacaaa. What is prob of picking 2 c and 1 a?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 453.8 and -1504247?\nAnswer: 1504700.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -0.2, -2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/w*w**(-2\/9))\/(w**(-5)\/(w**5*w)) assuming w is positive.\nAnswer: w**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11082653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:03 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 + (-26 - -10 - 25) + 41?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117926144195 - -3.\nAnswer: -117926144192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -29 + 31. What is the hundreds digit of r\/16 - (-157800)\/320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10535 + 352)*(1 + (-2 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a - 4 - 3 + 7 in the form b*a + w and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 7*r**2 - 15*r + 21. What is the units digit of j(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 249 - 244. Solve -12 - 8 = l*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 + 151. Let o(m) be the third derivative of 2*m**2 + 0*m + 1\/450*m**5 - 1\/45*m**3 + 1\/450*m**g - 1\/90*m**4 + 0. Factor o(r).\nAnswer: 2*(r - 1)*(r + 1)*(2*r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77207 and 520?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3021 + 4?\nAnswer: -3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 - 69689*m**3\/3 - 539632899*m**2 - 4179096985545*m - 8356035625326.\nAnswer: -(m + 2)*(m + 23229)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*k**4 - 2 - 109*k**3 + 26*k**4 - 120*k**4 + 1076*k**2 + 2 wrt k?\nAnswer: -24*k - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8560*z - 42800. Calculate w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 104, 208, 314, 422?\n\"Answer: d**2 + 101*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c**3 + 8*c**2 + 8*c + 20. Let o(z) = 8*z**3 - 5*z**2 - 5*z - 13. Let y(n) = 20*n + 965. Let k be y(-48). Give k*i(r) + 8*o(r).\nAnswer: 4*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 635?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 5*m**4\/3 + 4*m + 39. Let v(c) = -c. Determine q(v(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 4\/5 (c) 0.08 (d) -0.2 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d - 230 = -2*i, 0 = -i - 3*d + 126. Calculate the least common multiple of i and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 14*u**2 - 2*u + 21. Let t be x(14). Let d(o) = -o**2 - 7*o + 6. What is d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1218229 minus -0.5?\nAnswer: 2.6218229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15550.\nAnswer: 2, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (-27 - -33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.7 - -79. Sort -0.1, 1, r.\nAnswer: -0.1, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 79*a - 8777. Is 135 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 - 18*k + 511 - 3*k - 511.\nAnswer: -k**3 - 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - -0.21. Let f = 10 - 10. Let i = 35\/18 + -47\/18. Which is the fourth smallest value? (a) i (b) f (c) 1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 = 5. Let v = 73 + -25. Calculate the remainder when v is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6389915.703 - 8971.297. Let w = -6398887.7499726 - y. Let h = -0.75 - w. Round h to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19656 and 46099599.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*p = 889*p + 48175 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376 + 192 + 184 - 19*c.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 8, e: 2, o: 5}. Give prob of sequence oed.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - 0.1. Let k = y + -4.94. Sort -3, -2\/3, k.\nAnswer: k, -3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.34 - -1.3400111. Round o to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189092?\nAnswer: 2, 41, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 25*v + 15. Let z be r(12). Suppose 0 = -z*h - 0*h + 15, -40 = -5*q - 5*h. Let g = 21 + -18. Is g smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -3281283.\nAnswer: 7\/3281283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, -12, -38, -74, -120, -176?\n\"Answer: -5*s**2 - s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/(-5) - 8\/40. Let o(m) = m**2 - 5*m - 6. Calculate the remainder when 47 is divided by o(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223495 + -61495. Round h to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 534 and 19284.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = 0, 4*l + 17 = -4*u - 15. Let d be 17602\/l*(0 + -6). Let b = 15203 - d. Round b to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/20 + t**3\/3 - t**2 + 53*t. Give h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.46 and 39?\nAnswer: 17.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 2, s: 4, h: 7, m: 6}. Give prob of sequence mm.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 1 + 7 = 4*v, -3*v - j + 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-120) + 1 + -1. Let a(t) be the third derivative of -5\/24*t**4 + 2*t**2 + t**3 + 0*t + 0 + h*t**5. Give a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-2)\/(-18)*20070\/2230. Which is the closest to r? (a) -0.2 (b) 2 (c) 236\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -778? (a) 10 (b) -5 (c) 5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtatvavlfvvtvmt. What is prob of sequence lv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.226 and 433826591.\nAnswer: 433826590.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55115839 or 55115838?\nAnswer: 55115838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*g + 38, -7*w - 400003*g + 30 = -400000*g for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 150 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -0.3, 0.2, -6377?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5305?\nAnswer: 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0634 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 12. Suppose 0 = -i*j - l + 5, l = -3*l + 4. Suppose 3*r = 2*h + r, h = 2*r - j. Solve -h*y = p + 2*p - 12, 0 = 3*y - p + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*s = 157*s - 42 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 202 = 34. Suppose 0 = -3*u + 2*i - 0*i + b, i - 4 = 0. Calculate the lowest common multiple of 3 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 43. Let z(w) be the first derivative of f*w - 2\/3*w**3 + 0*w**2 - 3. Let n(o) = -o**2. Calculate z(n(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/37016 and 27\/454768.\nAnswer: 3183376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8503319?\nAnswer: 11, 773029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, z: 2, t: 1, m: 2}. What is prob of picking 1 m and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77321401247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62475.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -88. Find the first derivative of -13*f**2 - 5*f**2 + 14 - z*f**2 wrt f.\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 549456765 and 20878.\nAnswer: 10439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-308))\/((-12)\/(-42))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.4 - -368.4. Let t = r + -290.5. What is the nearest to 1 in t, -2\/17, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/360 + 5*i**3\/6 - 12*i**2. Let p(d) be the first derivative of f(d). Let l(g) = 2*g**2. Give l(p(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 3.08. Let x(n) = -3*n - 3. Let r be x(-2). Let q be (-23)\/60 - r\/(-12). Which is the biggest value? (a) 1\/3 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*0.22.\nAnswer: 2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.149 + -0.338. What is b rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 15. Suppose 19 = -q*l + 764. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -0.1937712512?\nAnswer: -1.1937712512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 21 = -p, -15 = -3*m. Let t(w) = 2*w**3 + 5*w - 3*w**2 - 2*w**2 - 3*w**3 + 6. Is t(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18700766 is divided by 3116789?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogooiigoofgo. Give prob of sequence ig.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30547039 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q - 3. Let n(u) = u - 3. Suppose -13*g - 13 = -0. Let p(h) = g*n(h) + 3*c(h). Let l(j) = 26*j**2. Calculate p(l(y)).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9039 (b) 0.06 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**43\/h)\/h)\/(h**(-34)\/h) assuming h is positive.\nAnswer: h**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 232*l - 6728 = 0. What is l?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*x - 52, 0 = -x + 3*o + 13 + 1. Solve -r = 3*w + 11, -8*w - x = -4*r - 4*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 23 - 71. Let a = -10 - c. What is the highest common divisor of 18 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 16\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/27*-33)\/(12\/(-108)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23d (base 15) in base 9?\nAnswer: -624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/27, -2\/11, -28, -70\/9 in increasing order.\nAnswer: -28, -70\/9, -2, -2\/11, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6968 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33692*n**3*u**2*z - 84*n**3*u*z - 89*n**3*u - 28*n**3 + 3*n**2*u**2 + 3*n*u**2 + 2*u**2 wrt z?\nAnswer: -33692*n**3*u**2 - 84*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -680 - 730. Calculate the remainder when 237 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -5*m. Let p = 4 + m. Suppose 6 - 3 = -3*n + 3*s, -3*n = p*s - 27. Solve -3 = 3*h, -3*c - n*h + 2*h = -13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-1)\/(-6)*((-23166)\/36)\/(-33).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 456, 0, -523, -11, -2\/11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/1*10. Let g be 5 - -6*(-3)\/9. Suppose -g*x + 3 = 4*o, 7*o = -2*x + 3*o - 2. Solve b = -2*k - k + 8, 0 = t*b - x*k + 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1026*z + 1035*z - 468. What is the remainder when 517 is divided by z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2581038 divided by 2.\nAnswer: 1290519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 138? (a) -7\/2 (b) 26 (c) 17 (d) 2\/9 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25 + 5.35. Let d = -6 + r. Let i = 680 + -2038\/3. What is the nearest to -0.02 in d, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*a - 2*a = 37, 0 = -5*a + 5. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:18 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2322023*m*w**2 + 2*m*w - 8*m - 708*w wrt w?\nAnswer: 4644046*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -3.05\nAnswer: 12.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*b + 1401 = 6*v, 0 = v + 5*b - 333. Let n = -168 + v. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - k = 4*y - 53 - 7, -97*y - 3*y = 7*k - 1407 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140504 (base 6) to base 3.\nAnswer: -200000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-2100)\/(-8))\/15)\/((-3)\/(-2382))?\nAnswer: 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 110*n**3 + 23*n**2 + 37*n + 64. Determine o(-2).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 5*q = 16*m + 2229, -3*m = 5*q - 3406. List the prime factors of m.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/2)*j)**47)**(-17\/2))**(5\/2) assuming j is positive.\nAnswer: j**(-3995\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/23587?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 15 = -125. Suppose 6*y - b = y - 5*f, -21 = -y + 4*f. What is the greatest common factor of y and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -332*v + 337*v + 7*y, 3*v - 3*y + 36 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -59. Suppose -76*j + 72*j + 8 = k. Suppose 2*c = j*f + 2, 5*f - 1 = -c + 3*f. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 99.\nAnswer: -5, -1, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 147 - 112. Solve 0 = -g - n*i + 4, 4*g + 2*i = -3 + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 211*d**5\/60 - d**4\/4 + 278*d**3\/3 - 146*d**2 - 8*d. Differentiate q(c) wrt c.\nAnswer: 422*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 1:34 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92848780.\nAnswer: 2, 5, 83, 55933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -48\/145, 19, 3, -3.24 in decreasing order.\nAnswer: 19, 3, -48\/145, -6\/7, -3.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 25547?\nAnswer: -25541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -18970151.07 to the nearest one thousand.\nAnswer: -18970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147537 - 126737 = -154*c. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 31.661342805?\nAnswer: 32.161342805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b50 (base 13) to base 8\nAnswer: 3604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 582202721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 368, 0, 2\/3, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + 2*sqrt(242))**2*5 - 1*2*sqrt(2)*-2)*-1.\nAnswer: -10890 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*g - 3 + 13 - 2385*g - 10)*(6*g**2 - 3*g**2 - g**2).\nAnswer: -5074*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10 = -6*r. Let k be (r\/140)\/(1\/(-2)). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 35 = -2*x + 5*a, -x - 15 = -2*a. Let z be ((-7)\/(-1))\/(x\/(-10)). Let h be z\/(-4)*84\/(-1617). What is the closest to 0.1 in h, -1, 0.9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -3*p - k - 31, -4*p - 4*k + 52 = 0. Let u = 138 - p. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4162483791?\nAnswer: 3, 227, 2037437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4\/4211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 - (2 + (-44)\/15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3286?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 97 = -4*v, 5*i - 151 = -7*v + 3*v. Let c(s) = s**2 - 30*s - 3. Does 3 divide c(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = c - 20, -4*k + 969*c = 966*c - 66 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*p - 7. Suppose p*l - 9*l = 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 15*j - 5 + 11*j**3 - 5 - 16*j**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 4*h**2 - 15*h + 4. Let k be y(6). Is -13 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190653*p**2 + 4*p - 864743 with respect to p.\nAnswer: 381306*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -83 + (22 - (15 + -1) - (-1 - -6))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46311.2 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2. Let c(h) = 1. Suppose 0 = 2*j + 2 + 6. Let g = j + 1. Let d(b) = -b + 1. Let u(p) = g*d(p) + 3*c(p). What is u(w(o))?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127300 and 249375?\nAnswer: 66832500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*v = -2*m + 5, -3*v = -15. Suppose 2*f - m + 0 = 0. Let q(d) = 2*d - 23. Let b be q(14). Solve -5*p + 2*t - 25 = 6*t, p + f*t + b = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -853317 divided by -3\nAnswer: 284439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {v: 1, x: 1, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08598 + 0.11402. Let d = -1 + 2. What is the biggest value in d, -2\/9, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89452 (base 13) to base 5.\nAnswer: -30432004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:04 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2886*p - 326. Give h(0).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399982.\nAnswer: 2, 11, 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.12 (b) 5 (c) -3 (d) 0.3 (e) 14.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + g)*(-25*g + 6*g - 2*g)*(g**2 + 4*g**2 - 4*g**2).\nAnswer: 84*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 25 = 30 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4\/3, -4, 3, 6, 777 in decreasing order.\nAnswer: 777, 6, 3, 4\/3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4*-1)\/(109\/(-117720)*54).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaav when four letters picked without replacement from {v: 4, a: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189 or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*g + 3455 + 1631 = 1026 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -543 (b) -1 (c) 1 (d) 917 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + i + 75. Determine f(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(2\/5)))\/h)**25*(h*h**(-2\/5)*h)\/(h**(-4\/9)\/h) assuming h is positive.\nAnswer: h**(587\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1228484 or 8599383\/7?\nAnswer: 8599383\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 112, 61, -30, -173, -380, -663?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + 7)*(3 - 2 - (-4)\/(-6)). Let h(u) = 1. Let y(m) = -7*m**2 - 1. Give v*y(s) + 5*h(s).\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50 + 8*s + 50 + (-1 + 1 - 2*s - s + 3*s + 0*s + 0*s + s + 0*s + (s + 3*s - 2*s)*(0 + 1 - 3) - 3 + 3 - 2*s)*(2 + 3 - 3)*(-1 + 2 - 2).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 2 (c) -2\/17 (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*g = -16, 5*b + 6*g - 9*g = -34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -3, 101, 4, 1380 in ascending order.\nAnswer: -3, -2, 1, 4, 101, 1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 21 = 4*a, -23 = -17*t + 12*t - 2*a. Suppose 3*h + 2*x - 258 = 0, h + x = t*h - 344. What is the remainder when h is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225579933 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (236\/(-177))\/((20\/(-9))\/2)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 479 + 16*n + 478 + 483 - 1402 to d + o*n and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430, -556, -900, -1570, -2674, -4320, -6616?\nAnswer: -9670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 495*z + 8381. Give t(-17).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4\/7 - 7278312*w**3\/7 - 43669980*w**2\/7 - 65505024*w\/7.\nAnswer: 4*w*(w - 1819584)*(w + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -25*a**3 - 5*a**2 - 6*a. Let p(l) = -24*l**3 - 4*l**2 - 5*l. Let u(g) = -4*b(g) + 5*p(g). Determine u(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11856053 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9161 (base 14) to base 8\nAnswer: -60621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1240)\/(-165) + 2 + 72\/(-33). Let f = 8 - o. What is the third biggest value in 0.3, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8066 and 148?\nAnswer: 16132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/1)\/(2\/(-12)). Let z(m) = 3*m**3 - 4*m**2 + 5*m + 6. Let h be z(3). Suppose -j*k + 0 + h = 0. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2610239516 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from pbppppbpbpp.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 252 = 30*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19421 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 280016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*o - 20, 3*o + 44 + 46 = 3*d. Suppose 0 = 4*z + d + 64. Let m be (-1 - 19) + 0 + -2. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172275031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013123 rounded to 5 decimal places?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214717, -429436, -644155, -858874?\nAnswer: -1073593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 113262 divided by -6?\nAnswer: -18877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170417760?\nAnswer: 2, 3, 5, 355037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/(l*l\/(l*l**(-1\/3)*l)*l)*(l\/l**0)**(20\/7)*((l\/(((((l**(-2)*l)\/l)\/l)\/l*l)\/l))\/(l\/(l**(-7)*l*l)))**(-2\/39) assuming l is positive.\nAnswer: l**(-1481\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/(-270))\/((-2)\/3). Let v(x) = -x**3 - 3*x**2 + x + 3. Let d be v(-3). Which is the nearest to d? (a) -0.5 (b) t (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 331*t**2 + 5*t - 1. Let c(y) = 3*y**2 - y. Give 2*c(l) + f(l).\nAnswer: 337*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + b + 46 = 0, 0 = -4*i + b + 18 + 19. Let h(w) = -6*w**2 + 79*w - 104. Let z be h(8). Calculate the highest common divisor of i and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 10 = 6. Calculate the common denominator of (n - -9)*4\/7 and 66\/(-32)*2*(-1)\/(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11357*o + 317934. Determine n(-28).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 35196086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 6192, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 14*j + 4. Let c(x) = 15*x - 4. Let m(l) = 3*c(l) + 2*n(l). What is the tens digit of m(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4044395 nanoseconds in seconds?\nAnswer: 0.0000000004044395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 1)\/2 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**2 - 848*b - 68. Is s(-101) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48692.25 weeks in milliseconds?\nAnswer: 29449072800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3736, 7472, 11224, 14992, 18776?\n\"Answer: 8*z**2 + 3712*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 2098 plus 248.876?\nAnswer: 2346.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v + 14 = 4*y, 3*v - 33 = -3*y. Let a = -3 + y. Let k(o) = 5*o - 2 - a*o + 2. Let u(n) = -n**2. What is u(k(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49255 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttrt when four letters picked without replacement from trtvtttvr?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 - (-1 + (-3 - -4))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 8*q. Let g be k(-4). Put 39, 5, 4, g, 2 in descending order.\nAnswer: 39, g, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.4. Let q = -0.7 + x. Let u be 0\/1*(-2)\/(-4). Which is the biggest value? (a) q (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y + 1. What is m(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 12:47 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {c: 1, b: 2, u: 1, v: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 81\/5*x**2 - 6\/5*x**3 + 1\/30*x**4 + 0 + 45*x. Find h such that b(h) = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6257934?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 896\/3570 + 2\/(-17). What is the nearest to -1\/6 in -0.1, -1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*w - 113 - 52, -2*w - 99 = -3*f. Let m(a) = 5*a - 8. Let h be m(4). Let n = f - h. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 672?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v = -8. Suppose -164 = -2*g - 6*y + v*y, 5*g + y = 365. Suppose -15*w + 18*w = 24. What is the highest common divisor of g and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.731 - 2998340\nAnswer: -2998339.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -234 in descending order.\nAnswer: -1, -3, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) - (1 + -3). Let a = 136 - 130. Suppose 2*q - 17 = -5*h, -q + a*q - 4*h + 7 = 0. What is the highest common factor of q and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 21. Suppose -p = -3*n + 11. Let a be ((-20)\/n*90\/(-50))\/(-7). What is the third smallest value in 0.2, -3, 0.4, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1852 + -1896. Which is the second biggest value? (a) 0.3 (b) -15\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 28*d**2 + 11*d + 27. Let n be z(12). Calculate the highest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1 + 2)*-2. Let f be (-2)\/(-3) - l\/3. Suppose -3*v + f*d = -16, -12 = -4*v - d + 13. Solve -2*h = -3*m - 11, -m + v*m + 15 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 + 3*t - 4. Let p = 37 + -32. Suppose -5*i = -p*s, 2*s + 1 - 13 = -2*i. Let u(y) = -9*y**2 - 7*y + 9. Give i*u(b) + 7*v(b).\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.11255 times -176\nAnswer: 19.8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 79656990 and 523.3.\nAnswer: 79657513.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 25 = 21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200) - sqrt(22)\/sqrt(44))**2 + -2*(sqrt(2) - sqrt(242)*-1)**2.\nAnswer: -789\/2 - 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 7. Let d be p(5). Suppose -3*u = 2*y - 6*y - 56, -3*u - d*y = -62. Let k be (u\/6)\/5*1. What is the smallest value in 1, k, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 + 2*c**2 + 32*c - 66. Let i be n(2). Let m(o) = 9*o + 56. Determine m(i).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/11)\/((j\/j**7)\/j)*(j*j*j\/(j\/(j**(2\/3)*j)*j))\/j**(-7))\/(j\/j**(3\/5)*j\/(j*j**(3\/11)))**(-2\/57) assuming j is positive.\nAnswer: j**(53974\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Let c(h) = -h + 9. Let n be c(5). Let b(q) = n*q - q**2 + 0*q - 1 + 1. What is b(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -49*v**6\/120 + v**5\/10 + 391*v**3\/3 - 2*v**2 + 196. What is the first derivative of j(z) wrt z?\nAnswer: -147*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 3*j**3 + 3*j**2 - 4*j**3 + 0*j**3 + 26. Let d be o(0). Solve 0 = 5*f - 15, -3*q + 2*f = d - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 72. Let a be z(0). Let d = 0 - a. What is the highest common factor of 90 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1180 and 488594340.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:48 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(2\/21)*h))\/h**(-1\/4)*h**(-4)\/(h*h\/(h\/(h*h**(4\/5))))*(h**1)**22*h**0*h**(-7)\/h assuming h is positive.\nAnswer: h**(2669\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 40*f**2 - 82*f**2 + 41*f**2 + 12*f + 2. Calculate the smallest common multiple of (-33)\/(-4) + 2\/(-8) and h(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 22, 35, 50, 67, 86?\n\"Answer: f**2 + 8*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(15) + 6*sqrt(60)\/sqrt(4))\/sqrt(108) - ((-2*(sqrt(720) + sqrt(720)*-2))**2 + 0 + sqrt(720) + 1).\nAnswer: -2881 - 32*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1*20\/(-4). Suppose 2*z = -0*z - 2*d - 16, -5 = 5*d. Let l be 2\/4*(z - -9). Solve u*f = -y + 3*y + l, -2*y + f - 5 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35848*r + 11*r**2 + 35848*r + 62 as z + s*r + n*r**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 370509, 0.\nAnswer: 0, 43, 370509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 - 0.3. Let r(f) = -2*f. Let d be r(-1). Let k = 208 - 208.5. Which is the second smallest value? (a) k (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 4*x + 65061 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -28. Let r = -4 - p. Put 0, -2, r, 2 in decreasing order.\nAnswer: r, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1433 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let g = 374 + -372. Let i(u) = 282*u**2 + 64*u**g - 43*u**2. Calculate i(x(n)).\nAnswer: 1212*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1639*r - 480 = 1609*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y - 4. Suppose -y*p = -11 - 21. What is the second derivative of -9*i + 3*i - p*i**5 + 11*i**5 wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = -3. Suppose 2*l - 25 - 21 = -4*f, -k*f + 47 = 4*l. Let x(j) = 2*j**2 - 8*j - 6. Is x(f) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + -2. Let h = -0.29 - -11.29. Let d = h - 15. Sort t, 1, d.\nAnswer: d, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -429 + 431. What is the first derivative of 45 - 52*n**q + 29*n**3 + 28*n**2 + 47*n**3 + 24*n**2 wrt n?\nAnswer: 228*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by (2 - 1)\/((902\/594)\/41)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 10) to base 16\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d - 6. Let k be f(-1). Solve k = 5*v - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3958 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1114 = 4*m + 294. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 279*a - 272*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699704?\nAnswer: 2, 149, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -197*h**3 + 11*h**2 + 8*h - 3. Does 27 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 29, 90, 205, 392, 669, 1054?\n\"Answer: 3*s**3 + 4*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 11:58 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7617620 and -10.\nAnswer: -76176200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 555737111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 80717 = 8*r - 33174, 0 = -3*t + 2*r + 341517. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, i: 2}. Give prob of sequence mmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 982, 0, 5 in descending order.\nAnswer: 982, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062 - 289638.101394.\nAnswer: -289638.039394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 7)*((-3 + 3 - 1)*(j - 4*j + j) + 0*j - 6*j + 2*j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1267099182.8502916 + 1267099413. Let x = k + -0.0467084. Let h = x - 230. Round h to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oye when three letters picked without replacement from {y: 2, h: 2, s: 1, o: 3, j: 1, e: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + 1\/3. Suppose m = 5*t + 1 - 16. Put -0.2, t, 4 in decreasing order.\nAnswer: 4, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11031 = -4*h, 4*r - 5488 = -6*h + 4*h. Suppose h - 40233 = -31*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1214*p - 1195*p - 152 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -326364.89 + 328151. Round p to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 641, -4, 5, -15 in decreasing order.\nAnswer: 641, 5, 4, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 44 = -4*h + 14*b, h = -2*b - 2 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*i - 1 + 13, 4*i = -3*a - 5. Suppose -q + 2*q - 79 = 5*x, 0 = -5*x - 3*q - 83. Let g = -16 - x. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*-1)**2*-5*-6 + 4*((-2 + sqrt(2448) + sqrt(2448))**2 + sqrt(2448)) + -3)*-4.\nAnswer: -175084 + 1344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3684 and 11.\nAnswer: 40524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248970313 and 4963?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2 + 15*r + 91. Let v(p) = -10*p**2 + 22*p + 137. What is 7*j(u) - 5*v(u)?\nAnswer: u**2 - 5*u - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - b4711b?\nAnswer: -b47116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 602960529 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 12*w. Let r be j(6). Let m(v) = v**2 + v - 20. Give m(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313227544 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20467*f**4 - f**3 + 1520*f**2 + 2*f - 4 wrt f?\nAnswer: 491208*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 11:34 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8597906.\nAnswer: 2, 23, 311, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + 0.3. Let r = 0.02 + -2.02. Let t = -2.1 - r. Which is the closest to t? (a) -0.2 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58447 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:59 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.89 and -119552.\nAnswer: -1182369.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by 8524?\nAnswer: 273\/8524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -4)*(-2)\/(-2). Solve -a*j + 11 + 1 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 12. Let d = -3 + 2. Let k = 1 - d. Put l, -3\/4, k in decreasing order.\nAnswer: l, k, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -7*t + 8. What is the nearest to 0 in 1, -2, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*k - 3*g, -2*g = 3*k + 3*g - 10. Let i(z) be the second derivative of k - z - 1\/2*z**2 + 1\/6*z**3. What is the derivative of i(f) wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**20\/u)\/(u*u**7))**47 assuming u is positive.\nAnswer: u**564","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.015 + 0.025. Let v = o - 0.11. Which is the smallest value? (a) v (b) -3\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1301\/12 - 465\/4. Find the common denominator of -21\/11 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:03 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 215 + 102 - 2*a**2.\nAnswer: -2*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 1407 + 1307 = -2*x + 17*f, f = 6*x - 12*x - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144236 is divided by 47955.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33301\/1203 + -6\/401. Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-519)\/(-54) + 4\/18. Let p = h + -19\/2. Let i = 1 - 0.6. What is the second biggest value in -4, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t**1*t)\/t)**49\/(((t\/(t**(2\/11)\/t)*t)\/t*t*t)\/((t\/((t*t**(2\/17)*t*t)\/t))\/t*t))*(t**4*t**6*t)**(-37) assuming t is positive.\nAnswer: t**(-40380\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602510.53 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 - 10*o**2 - 5*o**2 + 7*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 57 (b) 0.5 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3370 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2\/2 - 18969*q\/2 - 1635732 = 0. Calculate q.\nAnswer: -168, 6491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530630*f**2 + 1061088*f**2 - 530466*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 6. Let m be h(-2). Sort m, -1\/4, 4, 4\/9 in decreasing order.\nAnswer: 4, m, 4\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2150 and 0.28.\nAnswer: -2149.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 23375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 16 - 9)*(1368 - 1368 + 100*f) as o + h*f and give h.\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, i: 2, v: 4, q: 1, y: 2, s: 2}. What is prob of sequence cyci?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 428 - 433.11. Let l = -0.59 - -0.7. Let m = l + x. What is the second biggest value in m, -2\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/(11*(-10)\/(-3080)). Suppose 0 = -a - 5*o + 24, 2*o = -3*a + i + 13. Determine w so that -1\/2*w**2 + 3\/2*w**3 - 1\/2*w**5 - w + 0 + 1\/2*w**a = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -15*w + 8. Let l be k(0). Solve -4*d + y + 10 = -y, 4*d - 4*y = l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*v - 9331280 = -166*v + 78098791. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 5, 30 in descending order.\nAnswer: 30, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125.6 + 126. Sort 1, r, -2\/23, 2\/143.\nAnswer: -2\/23, 2\/143, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 + -87. Suppose -w*a = -13*a - 904. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12143, -1\/8, 5, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 3\/2, 8, 4\/7 in increasing order.\nAnswer: -5, 4\/7, 1, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 22*g + 4*r - 3 = 0, -3*g - 1 = -2*r. Sort 8, -2, g, -4.\nAnswer: -4, -2, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3281655 rounded to three decimal places?\nAnswer: -0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 3*b**2 - 2*b + 2. Let q be l(1). Let g(v) = 13*v**3 + 2*v**2 - v - 1. Let d be g(q). What is the greatest common factor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687817913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19483.\nAnswer: 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, c: 10, g: 2}. What is prob of picking 2 c and 2 g?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 133 - 187 - 26*b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-100)\/(-16))\/(-5))\/(4\/16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:25 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -23. Let g = -13 + p. What is the remainder when 49 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.4509 + 3.\nAnswer: 15.4509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*u + 41*u + 9*u)*(3 - 26*u + 30*u**2 - 5 - 29*u**2).\nAnswer: 88*u**3 - 2288*u**2 - 176*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/38 and 5\/24719?\nAnswer: 49438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 1\/5, -0.5, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-276)\/9430*((-10)\/(-6))\/((-10)\/30).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 c, and 1 t when four letters picked without replacement from {t: 5, y: 1, c: 3, h: 6, x: 1, d: 4}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 6\/11, 1.4, 0, 768\/5, 1\/4, 0.1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 11*f = 11 - 9 + 53 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 935*y**4 - 2471*y**2\/2 - 10971. Find the second derivative of v(s) wrt s.\nAnswer: 22440*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3344390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {m: 3, i: 5, u: 3, y: 9}.\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3184 and 3639710.\nAnswer: 29117680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11264754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10830633 and 1551?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8 + 7*j - 8 - 4*j + 4*j - 7*j**2 + j**3. Let s be d(7). Suppose -s = -5*o + 2*q, o + 0*q + 11 = -4*q. Solve -31 + 6 = o*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 237054, 474109, 711164, 948219, 1185274, 1422329?\n\"Answer: 237055*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3672 and -149\/3672.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -144, 0.09, 1\/5, 2\/3, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, 8, 2.\nAnswer: 2, 8, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*s)*(1 - 1 + 1) - 96 + s + 50 + 48 to the form a + f*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*l = -7402 + 272 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0.099, -4, 4 in decreasing order.\nAnswer: 4, 1, 0.099, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 107.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2 + sqrt(2205) + -1*sqrt(2205) + sqrt(2205))**2 - sqrt(2205)) + sqrt(2205) - sqrt(2205) - sqrt(2205))*-4 + 5)*-6.\nAnswer: -3024*sqrt(5) + 52986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1325433298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 15\/8?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = 36. Suppose 2*n - 2*z + 3 = s, 4*n = -2*z - 6. Sort 5, -5, n in decreasing order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(171) + 1 + -2 + sqrt(171) + -5 + -2*sqrt(171) + sqrt(171))**2*1.\nAnswer: -36*sqrt(19) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = g - 8, 3*g + 113*o - 111*o = 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2)\/(-5 - -3). Suppose 5*t = -i - q, i = 2*t - t + 5. Suppose -16 = -i*f - 0*f. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 43*q - 16. Is 13 a factor of t(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34920*v - 105 + 231 + 4957*v - 126 in the form z + p*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*x + 514560 - 513960 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 3 - 3)*((-1 + 1 - 1)*(-2*h + h + 3*h) - 6*h + h + 4*h)*(3 + 5 + 0).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*s - 114*s = 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274\/(-1370) - (79\/(-5))\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/12 + 2*t**3\/3 - 2*t**2 - 3*t. Does 5 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**3 + l**2 + l - 88. Calculate n(0).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 - -13.3. Let h = -12 + d. Let o = 4 + -4. What is the closest to o in 1, h, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:22 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2348400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-274)\/(-822)*(4\/(-6) + (-1024)\/(-240)). Factor j - 2\/5*g**2 + 4\/5*g.\nAnswer: -2*(g - 3)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64746 - 64746 - 5*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 234670 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 89294292 = 13*q. Let y = q + -14364764. Round y to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12008\/42 - 36\/(-378). Let n = -127 + l. List the prime factors of n.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -11*k**5\/60 + k**2. Let n(x) be the first derivative of -1\/2*x**2 - 64 + 0*x. What is n(q(t))?\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-2818 + 55774*i**4 - 55757*i**4 + 1977 - i**3).\nAnswer: 17*i**4 - i**3 - 841","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {w: 1, f: 3, j: 1, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 491 (c) 3 (d) 6\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/15)\/(j*j**(1\/5))*(j**(-1)\/j*j*j)\/j**(-2\/5))**(-7\/10) assuming j is positive.\nAnswer: j**(49\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (60\/(-300))\/((4\/10)\/(-1)). Suppose l - 1\/2*p**2 + 0*p = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**3 - 6*g**2 + 53*g + 267. Let q be y(-5). What is the highest common divisor of 448 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12064 by -6.\nAnswer: 6032\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5.857997, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 1*sqrt(76) + 3)**2*-4 + 0.\nAnswer: 48*sqrt(19) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1886 - -1868 - (90 + 2 - 0)) + (2 - 14)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790*n - 26264 = -2*f - 794*n, -f = -4*n - 13096. Is 40 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*(-4 + 3))\/(-9). Is d smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/6))**9*((s*(s\/s**(-1\/13))\/s)\/s)\/s*s*s**(-3\/16)*s)**(6\/31) assuming s is positive.\nAnswer: s**(-4125\/3224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 11, v: 1, p: 3}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 592*q**2. Let a(c) = 7854*c. Calculate a(m(u)).\nAnswer: 4649568*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1083409.102007468 + 1083411.595. Let s = v - 2.493. What is s rounded to 7 decimal places?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 2*r**3 - r**2 + 38 - 36 - 2*r**4 + 0*r**3 to the form j*r**2 + a + n*r + b*r**3 + d*r**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/123557020 and 2\/17?\nAnswer: 123557020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q**(3\/11))*q)\/(q*q\/q**(-10))*(q**(1\/2)\/q)\/(q*q*q*q*q*(q**14\/q)\/q))**(-11) assuming q is positive.\nAnswer: q**(611\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 8:22 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 17 + 36*r - 7 - 12*r**2 + 4.\nAnswer: -4*(r - 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110111011100011100 (base 2) in base 9?\nAnswer: -4332242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138695653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to -3911\/961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.850919+284700.167\nAnswer: 284702.017919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 0)*(5*s - 3*s + 0*s) - 2*s + 2*s - s + (10*s + 336 - 336)*(-2 - 2 + 3).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 59*k**2 - 260*k - 518. Give x(-63).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -18.8. Let l = -13 + 7. Let f be 16\/l - 4\/(-6). What is the second smallest value in f, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o - 5. Let p be u(6). Which is smaller: p or -13\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 4 = 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*j + 2693 = 2575, -g + 2*j = -36 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + d - 1, 3*d - 5 = -4*k + 2*k. Sort k, 1, 13 in descending order.\nAnswer: 13, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1 + g - 2 + 4*g - g. Let i(h) = 12*h - 8. Calculate 8*a(r) - 3*i(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 + 231. Let s(i) = i**2 - 2*i - 5. Let l be s(5). Differentiate 0*h**4 - l - 6*h**x - 3 with respect to h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16992 + 16996. Solve r = -5*q + 43 - 32, 2*q - 8 = -l*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*k - 0*k + 3*m, -3*k - 4 = -2*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-18)\/(-18) + 237*(-4)\/(-138)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -22.82. Let z = d + 0.58. Let a = -0.42 + z. Put 2\/19, a, 5 in decreasing order.\nAnswer: 5, 2\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170 + 412. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5932999 is divided by 1700?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1253.04 + -1274. Let b = -21 - s. Sort 0.2, b, 2 in ascending order.\nAnswer: b, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12*w**2. Let r(l) = 9922*l. Determine r(k(t)).\nAnswer: -119064*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 - 42400*r**4 - 127249384*r**3 - 151406557920*r**2 - 63892146035700*r - 501512126724000 = 0.\nAnswer: -6587, -1335, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*o - 27*k + 29*k = 212*o + 31, 0 = -2*o - 3*k + 37 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1472 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116243127 divided by -75141.\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1, -5, 6651, 1, 0 in decreasing order.\nAnswer: 6651, 1, 0, -1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 5430, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -525 + 1083\/2. Find the common denominator of 57\/20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3 + (0 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from lblbllbbblbllllllll.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 4*i + 39. What is the second smallest value in i, 3\/5, -0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 73551 (b) -12 (c) -0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*m + 38*n = 37*n + 7348, -269 = 4*m - 3*n - 0*n for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 3*b + 1. Let y be z(3). Let t(f) = f**2 + 8*f + 11. Is 10 a factor of t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 93 = 101 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2) + (-42)\/14 + 268. Suppose 22*c + x = 30*c. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*(-5)\/(540\/(-48)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -50. Suppose t*l + 2*a = 2*l - 392, -87 = l - 5*a. Let m = l + 148. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-10))\/((-20)\/(-50)). Let n be (-62)\/(-4) - z\/4. Let r be ((-2)\/6)\/((-1)\/n). Solve 4*h = -4*x - 1 + 17, r*x = 4*h + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 99 and 388.6?\nAnswer: 289.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20976 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -36. Solve o*j - 3*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11960 divided by 1318\nAnswer: -5980\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2928504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9039551\/82 or -110238?\nAnswer: -110238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5502 by -917.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + -2 + 3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-30))\/(1524\/(-16002)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 413*w = 414*w + 145, -w + 35 = k. Let c = 15 - 11. Solve 5*f + k = -4*m + 5, -c*f + 8 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*l = -2 + 15, 31 = 2*h + 5*l. Suppose 6*v - 25 = -5*k + 10*v, -4*k = -5*v - 20. Suppose 3*q - h*s = -0*s + 45, 0 = -k*q - s + 57. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 729804 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(18)) + (sqrt(2) - (sqrt(2) - (2*sqrt(18)\/sqrt(9))**2)).\nAnswer: 5*sqrt(2)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*y - 10. Let x be 2\/4 - 15\/y. Let u(j) = -j**2 + 6*j - 4. Let s be u(5). Put -5, s, x in decreasing order.\nAnswer: s, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 675678 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 65 = -25. What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2 - 6, z = 5*i - 14. Let w be 0 - (i\/(-4))\/1. Let r = 0 - -4. Sort -5, r, w in increasing order.\nAnswer: -5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + v - 42 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3335, 3331, 3323, 3311, 3295, 3275?\nAnswer: 3251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -1642*m**2 - 36*m + 6. Let k be u(21). What is k rounded to the nearest 1000?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*j - 22, 0 = 2*j - 3*y - 2*y + 8. Let x be 4*(4 + j - 9). Solve x*h - 10 = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 1. Suppose 5*o = 5*p + 40, 4*o + 23 = -4*p - o. Let n = p - l. Solve -n*x - 17 = -4*t, -5*t + 3*t = 5*x + 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*d = 4*n - 16, -4 = -d. Let x = -5 + 12. Let m = -3 + x. Solve 2*v = -n*v - m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*(-4 - 30\/(-4)). Let t be 5\/15*j\/3. Suppose 28 = 2*w + 3*y, t - 1 = -3*y. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 - 6*4\/6. Let m(g) = -g**3 - 20*g**2 - 3. Let i be m(t). Let f = i + 12. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 10:03 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13123*s + 6661*s + 6477*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 398371138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/72 and -73\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -65824 (base 13) in base 10?\nAnswer: -183733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqet when four letters picked without replacement from {e: 1, t: 1, u: 2, q: 1, n: 1, s: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/11 and 139\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (5 - -14) + -14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.6 take away 1220519407?\nAnswer: -1220519433.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v. Let u(z) = z. Let g(t) = -6*r(t) - 51*u(t). Let s(o) = o**2. Calculate s(g(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195.1 - 195. What is the second smallest value in x, 1\/5, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 + (-7718)\/2043. Sort -7, -2, -39, z in decreasing order.\nAnswer: -2, z, -7, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15)*1*(-170)\/(-306).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2345 - 1393. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6470*d - 2407. Let q(b) = -6469*b - 2377. Let t(c) = -2*q(c) + 3*r(c). Find the first derivative of t(g) wrt g.\nAnswer: -6472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**4 - 2*c**4 - 2*c**4)*(3*c + 0*c + c)*(2 - 5 + 1).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/6 + 5*s**3\/3 - s**2\/2 + s. Let l be c(-7). Let h = l + -11. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122*u + 209 - 209)*(4*u**2 + 0*u**2 - 5*u**2)*(7 - 5 + 2) - 3*u**3 + 2*u**3 + 2*u**3.\nAnswer: -487*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*f**2\/4 + 155*f\/2 - 30.\nAnswer: 5*(f + 6)*(11*f - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 + 4)*(-13)\/((-234)\/(-86700)). Suppose 68*a - m = 43*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 1868, 6390, 15206, 29750, 51456?\nAnswer: 81758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r - 5. 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: What is (13 - 39 - 14 - 31) + 2?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 34c?\nAnswer: 34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 81*o**3 - 408*o**2 + 40*o - 120. Let f be n(5). Suppose 0 = -4*g - 37 - 203. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f - 6. Let n be c(8). Let r = n + 95. Suppose g = r - 19. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.855 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67480244347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -36992*o**3\/45 - 272*o**2\/15 - 2*o\/15 + 68. Determine u, given that i(u) = 0.\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*-2*sqrt(272).\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -280?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*r - 49360796 = 25517784. Round r to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-4\/3)*x))*x*x)**(-12\/7)\/((x*x*x*x\/(x*x**(4\/7)*x*x*x))\/x)**13 assuming x is positive.\nAnswer: x**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(30\/(-9))*-4. Let v = -11 - g. Which is greater: v or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(4\/7)\/c*c)\/((c\/c**(2\/15))\/c)*(c**(-1\/4))**(1\/10))**(-12\/7))**(-27) assuming c is positive.\nAnswer: c**(15417\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - (-62)\/14) + 8\/14. Let z(b) = -81*b**3 - 4*b**2 + 15*b - 11. Is z(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/3*(493668\/7)\/(-2). Let z = c - 25507. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -231, -762, -1787, -3468?\n\"Answer: -27*f**3 - 4*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1\/2*g**2 + 0*g + 4. Let f(p) be the third derivative of p**5\/30 - p**2. Give f(y(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*s + 151*s - 320*s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:22 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011010101000111 + 110?\nAnswer: -10011011010101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0537257395 * -5.\nAnswer: 0.2686286975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*q + 484*q - 259 = -4*p, 5*q = -3*p - 2*p + 260 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9163 to two dps.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 53. Suppose 21 = -2*s + 123. What is the highest common factor of s and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**5\/20 - n**4\/12 + 2*n**3\/3 + n**2\/2 + 17*n. What is u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2251, 3\/5, 0.01, -2, -63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:23 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 100 + -180595?\nAnswer: -180495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5596 is divided by (4\/10)\/((-5)\/(-1925)*11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3154 divide 1223691787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u. Let n(f) = -7483535*f. What is p(n(y))?\nAnswer: -29934140*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 196?\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 398*l**2 - 283*l + 2. Calculate the remainder when w(3) is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26133*w**3 - 5*w**2 + 5*w**2 - 29803*w**3.\nAnswer: -55936*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 6*w**2 + 7*w + 6. Suppose -5*v + 3*v - 14 = 4*t, v + 6 = -t. Let j be (t\/(-2))\/(2\/120). Let p be ((-12)\/10)\/(((-63)\/j)\/(-7)). Calculate d(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.96 - -0.04. Suppose 2*n - b + 33 = 40, -3*b - 18 = -3*n. What is the closest to n in m, 2, 1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 3*r**2 - 4*r + 4. Calculate a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.614744l to millilitres.\nAnswer: 2614.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x, -3*x + 1 = -5*m + 7. Is m less than or equal to -21\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1*(-2 - -3)). Suppose x = -5*a + 3*a + 2. List the prime factors of (-3)\/1 + a + 42.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(68)*5)\/((1*sqrt(28) + sqrt(28))\/sqrt(7) + 1*sqrt(4)*-5).\nAnswer: -20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 9865484.\nAnswer: 69058388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(24)\/sqrt(4)) - ((sqrt(275) - sqrt(11))**2 - sqrt(11))*-3.\nAnswer: -2*sqrt(11) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101728 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*t - 20. Let w = 23 + t. Let v be 4 - (-4 + w + -2). Solve v = 3*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:52 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2680.7719 - 0.064878?\nAnswer: -2680.836778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dckkkddgqqd. Give prob of picking 2 d and 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 8. Suppose -3*h + 22 = -3*c - 4*h, -5*h = -2*c + 8. Let k be (-4)\/6 - (-2)\/c. Does k = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 - 106. Determine u so that 7*u**2 - 3*u**3 + 13*u + 4*u**5 + 54*u**4 - 62*u**x - 15*u = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3 - 2 + 79*k - 80*k. Let q = -74 + 86. Suppose q*c = 67 - 19. Give h(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-13)*(14 - 15)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:57 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Determine r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Let w(l) = -l**2 + 4*l + 3. Let j be w(k). Suppose -2 + j = v, r - 12 = 5*v. What is the remainder when 32 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**3 - 287*z**2 + 5432*z + 33. Calculate r(15).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10030 (base 4) in base 2?\nAnswer: 100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -637 - -29. Is 10 a factor of ((-220)\/77)\/(z\/(-308) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/3 + 4*b**3\/3 - 2*b**2 + 5*b - 8. Let o(i) = 3*i**2 - 7*i + 4. What is -6*o(g) - 5*p(g)?\nAnswer: 2*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21776640 divided by -17120\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0, 3, -5 in descending order.\nAnswer: 3, 0, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 85*i**7\/7 + 9*i**4\/4 + 2219*i**3\/3 - 1233. What is the third derivative of r(u) wrt u?\nAnswer: 10200*u**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 2*a**2 + 2*a + 1. Let g(b) = -b - 10. Let f be g(-11). Let k be 3\/f + 7 + -8. Calculate m(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**8\/1120 + h**7\/2520 + h**4\/4 - 2*h**2. Let q(u) be the second derivative of o(u). Calculate q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53851175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 1:07 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 15)\/((-330)\/(-1254))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 + 825 = 7*c + 446 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226226987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.21, -1, 0.4, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 41*s. Let t(c) = -100*c**2 - 175*c + 105. Let z(v) = -11*v**2 - 20*v + 12. Let o(y) = 4*t(y) - 35*z(y). Determine f(o(a)).\nAnswer: -675*a**4 - 615*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 13*z**4\/24 - 33*z**3\/2 - 7*z**2. What is the derivative of s(p) wrt p?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e7e3 (base 16) to base 7.\nAnswer: -1030065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - f + 3)*(-5*f - 2*f + 0*f) - 4*f**2 - 4*f**2 + 3*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2528394 divided by -6\nAnswer: 421399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219398178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-418)\/33 + 12)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**0*w*w*w*w**(-3\/4)\/w*w**(-2\/7)*w\/(w\/(w*w\/w**(-1\/4)))*(w\/w**(2\/15))\/w**(-3\/8)*w**(-3\/8)*w*w**(-2\/9)*w assuming w is positive.\nAnswer: w**(4321\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and 35.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*o**3 - 10560*o**2 + 19684*o - 9096 = 0. Calculate o.\nAnswer: -379, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000680132259 rounded to 7 decimal places?\nAnswer: 0.0006801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297992079 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -18*t**2 - 93*t - 16. Let o be m(-5). Let q(z) = 2*z - 1. Let k(r) = -r - 10. Let x be k(-5). Let p(b) = -b. Let l(h) = x*p(h) - q(h). Give l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-836)\/(-837) + (3 - 4). Let j be 16\/(256\/80) - 6. Is v less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - d**2 - 3*d + 714. Let g be b(0). Let p = 720 - g. Solve -2*v - x + p = 0, -3*v - 6 = -v - 5*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r + 46 - 7*r - 9*r in the form d + x*r and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*y - 57, 3*y - 4*y - 5*s - 11 = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 17*z = 15. Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1091 + -17463\/16. Let g = -5016 + 200677\/40. Calculate the common denominator of g and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1648307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1614*-0.1.\nAnswer: 0.01614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -69503.351 to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047397 rounded to 4 dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 102451520 (base 7) to base 4\nAnswer: 113030112332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 + 27*z - 6.\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1082 - -1077.935. Let l = 0.065 + d. Let m(h) = h + 1. Let a be m(-1). Put 2, l, a in descending order.\nAnswer: 2, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 18529*z**2 - 77*z - 170. Let v be g(-2). What is v rounded to the nearest 1000?\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 636 = -10*f + 4*z, -196 = -f - 4*z. Let i(x) = -3*x**3 - 7*x**2 - 4*x - 11. What is the remainder when f is divided by i(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 11*h = 0. Let w be (-2)\/4 - 15\/(-42). Is h < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q**3 + 19*q**2 + 54*q - 10. Let v be a(18). Let d = v - -65847. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g + 13*g**2 + 5*g - 5*g + 1 + 0*g**2 + g**2 + g**2 + (g**2 - 4*g**2 + 2*g**2)*(3 + 0 - 2) to b*g**2 + t*g + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5 - 100*v**4\/3 + 43*v**3 - 32*v**2\/3 = 0?\nAnswer: 0, 1\/3, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/135*33)\/(1\/(-80)). Calculate the highest common factor of 192 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 5 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 14*t**2 - 58*t - 51. Determine a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 11. Let b be f(-8). Let q = b - -5. Suppose q*v + 2*v = 24. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 3\/((-9)\/(-33)))\/(-1). Let s = j - -3. Solve s = 3*k - 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14617?\nAnswer: 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-11 - -18 - 19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7390*n**2 - 1837*n**2 - 1840*n**2 - 1857*n**2 - 1833*n**2.\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2236*m + 68. Let v(s) = -2*s - 136. Calculate f(v(q)).\nAnswer: 4472*q + 304164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s - 10 = 0. Solve 5*i - s*d + 2 = 27, 2*i + d - 1 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4960104 is divided by 289.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = s - 3*s. Let o = -8 + s. Solve -5*w - 15 = o*r - 0*w, 4*r = -w - 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-171)\/27 - (-8 + 1). Which is smaller: 0.483 or g?\nAnswer: 0.483","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2918, 3642, 4850, 6542, 8718?\n\"Answer: 242*c**2 - 2*c + 2678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 45*o - 5. What is u(-17)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = -4*k + 5*l, -2*l = 5*k - 25. Sort 4, 0, k, -4 in ascending order.\nAnswer: -4, 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/5 + 14*w**4\/15 - 2*w**3\/5 - 2*w**2\/5 + 4*w\/15.\nAnswer: -2*w*(w - 1)**3*(3*w + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1817 + 1865. Sort h, -5, -6 in ascending order.\nAnswer: -6, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752718873 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12393313?\nAnswer: 12393313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -33\/2 in descending order.\nAnswer: 5, 0, -33\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -48*l - 160. Let q(s) = -2*s - 22. Let t be q(-6). What is the hundreds digit of d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbsssnqsyssqqssbsqs. Give prob of picking 1 b and 1 q.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72803202?\nAnswer: 2, 3, 12133867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*p + 1\/3*p**2 + 7\/3.\nAnswer: (p - 7)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4536700 to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 111. Let k = 4 + 0. Suppose k*t = 68 - 4. What is the greatest common factor of t and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -7. Suppose 2 = -4*f - 22. Let b be (-22)\/(-6) - 2\/f. Sort p, 5, b.\nAnswer: p, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, n: 5}. What is prob of picking 1 o and 1 n?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/4*-1*(3 + 40) and -139\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.093 - 0.0414. Let l = s - -0.13. Round l to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6\/7 (b) 133 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -278.3 and 0.5.\nAnswer: -139.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 59?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2*o**3 + o**2\/2 - 3*o - 38. Calculate the smallest common multiple of 24 and m(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6663, 13336, 20009, 26682, 33355?\n\"Answer: 6673*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j + 12. Let y be k(-2). What is the biggest value in 1\/5, y, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**11*d*d**23*d*d assuming d is positive.\nAnswer: d**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-6 + (-7 - -9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*f - 34, -26*g + 31*g - 1 = -4*f. Which is the second biggest value? (a) -4 (b) 1\/5 (c) g (d) 0.3 (e) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19373565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 2. Let q be d(5). Let f be (-13)\/(-26)*(q - -1). Factor 0*p - 1\/2*p**f + 0 + 1\/2*p**3.\nAnswer: p**2*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2494)\/(-11223) - 206630\/(-6)*4\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/7 + 4024*q - 7084252.\nAnswer: -4*(q - 3521)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 59, 205, 493, 971, 1687?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00468 + 0.10468. What is the third smallest value in 1.7, p, -2\/27?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33000621 and 0.4.\nAnswer: 33000621.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x - 6. Let r(l) = l - 1. Let h = 940 - 934. Calculate h*r(k) - n(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4 and (4\/140)\/(-12*(-7)\/6405).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/7))**(1\/21) assuming h is positive.\nAnswer: h**(2\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4 + 0*b + b + 3 - 20*b. Does 30 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-12)\/8)\/3)\/((-1)\/(-30)). Let u = -11 + s. Let j = 162 - u. Is j a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-22)\/66)\/(2\/(-30)). Calculate the greatest common factor of 3 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiu when three letters picked without replacement from {i: 1, s: 2, e: 1, u: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3 - 6. Solve -m + 1 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 9*a - 23. Let p(v) = v**2 + 9*v - 22. Let l(t) = 2*c(t) - 3*p(t). Let y be l(-11). What is the hundreds digit of ((-84)\/y)\/(39\/104)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14663723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 899969 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (57 + -78)\/(141\/4). Is y at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16847 and 1206047?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(((3*(-1 + sqrt(180) - sqrt(180)) - sqrt(180))**2 - (sqrt(180) - (-5 + sqrt(180)*1 + sqrt(180)))) + -1)*5.\nAnswer: 1260*sqrt(5) + 5489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + g + 3 = 0, 0*h - 3*g = -4*h + 13. Solve 0 = w - 3*n - 14, 0 = -4*w + 4*n - h + 36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -0.4, -2\/9, -0.28, 16?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.136 times -399789\nAnswer: 54371.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.32 and -0.1?\nAnswer: -0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 10*d**2 + 7*d - 13. Let n be i(-9). Suppose 6 = -2*a + n*a. Suppose -2*f - a*f = s - 75, 3*f - 63 = -3*s. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:55 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000188521 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*t - t + 40*t - 205*t - 89*t in the form x + r*t and give r.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + (sqrt(931) + 1*sqrt(931))*5*5)**2.\nAnswer: -1400*sqrt(19) + 2327504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61544393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25221 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 16*r - 472. Solve 2*x - 5*i - r = 0, 0*x - 2*i - 8 = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 67 = -5*p + 418, 470 = 5*f + 2*p. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 525705990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 652\/7 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Let u = o + -3. Let p be (-16 + u)\/(-3) - 2. Solve b + 14 = -3*v - 2, 7 = p*b - 2*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300472456694*i**2 - 172*i**3 - 300472456694*i**2.\nAnswer: -172*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*a + 114*a**5 - 339 - 38*a - 46*a + 15*a**2 - 45*a + 175*a wrt a?\nAnswer: 2280*a**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 530999 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -16*s**3 + s. Let l be w(1). Is (-6)\/l + 14904\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 282\/108*1 - (0 - -4) and 91\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1183 divided by -3082\nAnswer: -1183\/3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20373721 (base 8) to base 2\nAnswer: -10000011111011111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.5, -9, 4194, 0.4 in decreasing order.\nAnswer: 4194, 0.5, 0.4, 1\/8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 428.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -277484, -277897, -278314, -278735, -279160, -279589, -280022?\n\"Answer: -2*u**2 - 407*u - 277075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -69*x. Let l be 0 + -2 - (5 + -5). Let y be t(l). Is y\/18 + 1\/3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 18*x + 16*x = 8, -2*s + 29 = -5*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 841*l + 906*l - 2386*l + 813*l.\nAnswer: 174*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3086)\/6 - 840\/(-360). Which is smaller: g or -510?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**7\/42 - g**5\/15 + 5*g**2. What is the third derivative of d(z) wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p. Suppose 0 = -y + 3, -4*b + 2*y - 1 = -3. Let h(k) = -2*k**2 + 2*k**2 + 6*k**b - 4*k**2. What is h(t(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2024 divided by -5\nAnswer: 2024\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368899.\nAnswer: 368899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -4.02. Let f = 9 - d. Suppose -6*i = -3*i - 6. Which is the smallest value? (a) f (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 4*l - 1. What is v(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100123 (base 4) to base 10.\nAnswer: -9243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 9*b**2 + 10*b + 4. Suppose 2*t = 1 - 17. Let x be c(t). Let j = 20 + x. Solve -5*s - 3*m - j + 22 = 0, m = -2*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let k be 3\/(-6) - l\/(-12). Let j be 6\/28*4\/(-6). Which is the nearest to k? (a) j (b) 2\/15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -255 and 3?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4 - 107860*s**3 + 215735*s**2 - 107870*s = 0. Calculate s.\nAnswer: -21574, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 3)*(-35*k**4 + 309*k**3 - 309*k**3) to u*k**2 + v*k**3 + y + j*k + h*k**4 and give h.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73762167 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12170 + 17709. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 82 = -z - 39, 0 = -z + 4*x + 43. Calculate the remainder when 1203 is divided by z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2770*n**2 + 1128*n + 8 = 0 for n.\nAnswer: -2\/5, -2\/277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*g = 89*g - 30. Let a(s) = 3*s - 13. Let r be a(10). Solve 0 = -5*i + r + g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169953 is divided by 5735.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 6, a: 4, d: 3}. Give prob of picking 1 d and 1 j.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278979, -557963, -836949, -1115937, -1394927, -1673919?\nAnswer: -1952913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q, 3 = b - 5*q - 5. Let c(g) = g - 1. Let t(l) = 8. Let p(r) = -4. Let m(j) = -7*p(j) - 3*t(j). What is b*c(o) - m(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 105\/30)\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1353658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/535, 1\/3, -98, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(-6\/5))*j*j\/(j**10\/j)*j*j**(-3\/17)\/(j**17*j) assuming j is positive.\nAnswer: j**(-2157\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 24. Calculate j(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 15*s - 11. Let z(t) = -5*t**2 + 23*t + 17. Let x(d) = -8*f(d) - 5*z(d). What is the units digit of x(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 1. Let o be m(1). Let c(q) = 5*q**2 - 4*q**o - 3*q**2. Let v(b) = -14 + 4*b - 4*b - b - 4*b + 14. Give v(c(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9) - (-13)\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837830951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q - 6*q - 3*q**3 + 26*q + 17*q - 5*q.\nAnswer: -3*q**3 + 57*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxuxuuuxu. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -14355*w + 87097. Calculate h(6).\nAnswer: 967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 963 and 31819553.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.1. Let u be (-2)\/7*406\/696. Let y = 3 - 3.5. Which is the nearest to f? (a) y (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 - 133.6. Which is the fourth biggest value? (a) y (b) 0.07 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*h + 3*k, -2*h = -5*k. Let m(w) be the first derivative of h*w + 1 + 2\/15*w**3 + 1\/5*w**2. Find x, given that m(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7774 take away -87?\nAnswer: -7687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.244 and 10051.2.\nAnswer: -2452.4928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -176386 divided by 12599\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 387019 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247104 + 246648.1645. Let b = 456 + n. Let v = 0.17 - b. Round v to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {y: 2, h: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.2 (b) -0.1 (c) 1 (d) 0.4 (e) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70242, -141797, -213364, -284949, -356558?\nAnswer: -428197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 80*w**2 - w. Let f be i(-1). Suppose -3*v + 15 = 2*v, 5*m - f = -2*v. Let n be 1\/(1 - m\/18). Solve 3*u + 3 = -n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 3*l**3 + 4*l**3)*(3 - 1 + 5)*(-19*l + 15*l + 34*l).\nAnswer: 840*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011001111100 - 10100000100101?\nAnswer: -10100111010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11662319*k**6 - k**5 + 25*k**2 - 3639*k + 28?\nAnswer: -1399478280*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 868562117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:28 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 33 + -2 + -10 + (3 - 2)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 60*u**3 + 210*u**2 + 220*u + 75.\nAnswer: -5*(u - 15)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -435 at most as big as -1307\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 21 = -5*t, -3*s + 2*t - 5*t = 12. Let g = s - -7. Let r be 44\/16 - (-2)\/g. Solve 2 = -r*k + 2*n, -3*k + 2*n - 8 = 3*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/2 - 7*h**4\/2 - 11*h**3\/2 - 5*h**2\/2 = 0. Calculate h.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w - 2. Suppose -w*f = -z + 3*f + 13, -19 = -z + 3*f. Suppose -3*m - 7 = -z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22000\/3 - -7477. Let f = d - 145. Let p = -5 + 6. Which is the second smallest value? (a) f (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7443.95869936 - 7483.7587. Let w = t + 39.8. Round w to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277518331?\nAnswer: 1489, 186379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.33 + 0.27. Let a = t - -0.059982. What is a rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**2 - 10*i**2 + 12*i**2 to v + k*i + o*i**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2504, 18865, 62376, 146327, 284008?\nAnswer: 488709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -80338, -80781, -81224, -81667, -82110?\n\"Answer: -443*f - 79895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*p - 155 = 328*p + 1188 + 673 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -19*r**7\/210 + 3*r**5\/20 - 8*r**2. Find the third derivative of g(a) wrt a.\nAnswer: -456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 + 6*d**2 - 200*d + 7. Let p(x) = x**3 - 2*x**2 + 67*x - 2. Determine -2*n(l) - 7*p(l).\nAnswer: l**3 + 2*l**2 - 69*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -21070 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/4, -4, 2\/9, -3\/2, -55 in increasing order.\nAnswer: -55, -4, -3\/2, 2\/9, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-2)\/7*21\/9. Sort -5, 0, r in decreasing order.\nAnswer: 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 98*w**2 - 372*w + 376. Let k be m(-94). Solve 245*z - 261*z + 16 = k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5 = 2*k, -3*h = 4*k + 22 - 3. Find the common denominator of -65\/16 and (k - (-122)\/(-12))*1.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*r + 114 = 0, -3*t - 79*r = -69*r + 110 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 802307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**(2\/5)*c))\/c)\/c)\/c*c*c**(-1)*c*c*c\/c**5*c**(2\/9))\/(c*c*c*c*(c*c*c**(-2))\/c*c*c**(-4)*c*c*c**(-6)\/(c\/c**0)) assuming c is positive.\nAnswer: c**(-8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*k = -52 + 868 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*h = 3*h - 6, 2*p + 4*h = -26. Let w = 9 + p. Solve 5*b - 3*d - 14 = -6*d, 4*b - 12 = -w*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 334*a + 20 - 20 - 2*a**2 - 327*a + 44 + 40.\nAnswer: -2*a**2 + 7*a + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 5*x + 2*x. Let b(c) = 47*c**2. Determine r(b(m)).\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*h**3 - 47*h**3 - 49*h**3 - 55*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296653 times -0.3?\nAnswer: -388995.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -126, -125, -124, -123, -122?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*o**3 + 5*o**3 + 5*o**3 + (o + o - o)*(-o + o - 2*o**2).\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*j - 30 = -542*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*j*n*r**3 + j*n*r**2*t + 2*j*n*r + 21520*j*n*t - j*n + 2124*j*r**3 - j*r**2*t - 7*j*t + 7*r**3*t + 2*r**3 + r*t wrt r?\nAnswer: -120*j*n + 12744*j + 42*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*x + 198 - 210, 0 = -3*x + 4*b - 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 42*q - 564. Let z be a(14). Let x = -93 - -175. Let f = -46 + x. Calculate the highest common factor of z and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 20.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4574710 (base 12) in base 8?\nAnswer: -62710774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 445526483 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-422)\/28 + 15)*12\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by 1080.\nAnswer: -11\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3 (b) -0.1 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16536420*f**3 - 3977263*f wrt f?\nAnswer: 99218520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388500.\nAnswer: 2, 5, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-182)\/468)\/(8\/(-48))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0311*7\nAnswer: -0.2177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 715 and 390.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-12))\/(6\/(-8847)). Let a = q + -2659. What are the prime factors of a\/(-6) - (-4)\/6?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17943, 35857, 53771, 71685, 89599, 107513?\n\"Answer: 17914*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5734 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 550951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79151*n*o**3 - n*o - 3*o**4 + 13*o**2 + 234 wrt o.\nAnswer: 474906*n - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15287 + -8717. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/23? (a) -7 (b) 0.5 (c) -981\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5\/184, 0.5, 1, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 11*m = -3*s + 3, 4*m - 6 = -3*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 43*v. Let u(c) = 336387*c**2 - 336307*c**2 + 1 - 1. What is q(u(t))?\nAnswer: 3440*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 165.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887 is divided by 441.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2642.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -0.1137650637?\nAnswer: 0.4137650637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29754208 rounded to 4 dps?\nAnswer: 0.2975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 552, 1\/9, -0.3, -0.15?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17aba5 (base 12) to base 11\nAnswer: 262300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 42*z**2 + z - 2. Let t(b) = -b**2 + b - 2. Determine f(u) - t(u).\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 2\/9, 2\/59, -1\/5, -4, 1 in increasing order.\nAnswer: -21, -4, -1\/5, 2\/59, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4305, -4138, -3691, -2826, -1405, 710?\n\"Answer: 23*l**3 + 2*l**2 - 4330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977 smaller than 2246698\/565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 635 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2040329596*g**3 + 22982436*g**2 + 86292*g + 108.\nAnswer: 4*(799*g + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 2*g)*(1 + 1 + 0) + 0*g + g - 2*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}