diff --git "a/data/dm_maths/full_data_1/2153_11255.jsonl" "b/data/dm_maths/full_data_1/2153_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2153_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the third derivative of 6665*s**3 + 7*s**2 + 164*s - 2 wrt s.\nAnswer: 39990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -529248 + 3?\nAnswer: -529245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142204 (base 5) to base 15.\nAnswer: -1b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29997728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3\/9 + 652*t**2\/3 - 133060*t\/9 - 79300 = 0. What is t?\nAnswer: -549, -5, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/((l**(-4\/23)\/l*l*l)\/l)*(l\/(l*l*l\/l**(-1\/13)))\/l**(-29))**11 assuming l is positive.\nAnswer: l**(353199\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14048728?\nAnswer: 2, 79, 22229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46580284 is divided by 1455633.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 164*r - 4616. Let p(x) = -30*x + 923. Give 11*p(g) + 2*u(g).\nAnswer: -2*g + 921","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:16 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56023\/1359 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 8*x**2 - 6*x - 1. Let i be (-9)\/12 - (-62)\/8. Is y(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 0. Let b be -8 - -1*310\/40. Sort b, -0.1, i, 1 in increasing order.\nAnswer: i, b, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223776 and 15456.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 8515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.71 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from mwhhhhdhmdhwdwdwww?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -1270, -2753, -4832, -7507, -10778, -14645?\nAnswer: -19108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 8\/13*n**2 - 36\/13 - 2\/13*n**3 + 6\/13*n = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -23. Let b = o - 10. Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164350709\/270 + -608707. Find the common denominator of -56\/27 and u.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 7*d - 4*d - 4*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 7412?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832 (base 10) to base 11.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53995.\nAnswer: 5, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-14)*3\/18*-14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2 and 131\/17922.\nAnswer: 17922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -u. Suppose j - 171 = -u*j. Let l = j + -31. What is the smallest common multiple of l and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 7*a**4\/12 - 5*a**3\/6 + 62*a. Let i(q) = -4*q**2 + 3*q. Let v(k) = -5*i(k) - 3*p(k). Let b(n) = 22*n. Determine v(b(g)).\nAnswer: -484*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 2 - 5 + 0*u - 2*u + 2 - 2 + (-2 + 2 + 2*u)*(3 - 6 + 5).\nAnswer: 5*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89, -711, -1747, -3197, -5061, -7339?\n\"Answer: -207*n**2 - n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/5 - (21 - 1). Is 6\/21 + (-309)\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/5, 2\/3, 0.12 in decreasing order.\nAnswer: 2\/3, 2\/5, 0.12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = u - 645, 2*u = -3*w + 927 + 368. Calculate the highest common divisor of u and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 7*c**2 + 4. Let o be a(7). Suppose -2*f = -3*f + 1. Let v be (2\/(-6))\/(f\/(-15)). Sort v, o, -4 in ascending order.\nAnswer: -4, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81253 and 52625?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - m**3 + 74*m**4 - 9 - 71*m**4 + 0*m**2 - 5 to w*m**4 + y + p*m**3 + j*m**2 + k*m and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxqqxqq. Give prob of sequence qqxx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, -88, -275, -532, -853, -1232, -1663?\nAnswer: -2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 33031*z. Let n(y) = -40*y - 12. Give h(n(v)).\nAnswer: -1321240*v - 396372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16 - 10 - 16*q + 58*q**2 - 59*q**2. Let v be y(-14). Solve 3*j + 4 = -v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + x = -n, -5*x + 4 = -n. Let j = 5 + -9. Let p = -3 - j. Which is the closest to p? (a) 0 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*1\/2)\/(3\/15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/17 - 580212*j\/17 - 1740618\/17 = 0.\nAnswer: -290103, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((4*-125)\/(-1))\/(12*(-8)\/(-2064)).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2\/3 + 40892*v\/3 - 13632 = 0. What is v?\nAnswer: -10224, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 39*k + 275. Let s be x(-25). Solve s = -129*i + 122*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*s + 46782 = -3133*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3680 + 72*l**2 - 29*l**2 - 22*l**2 + 12*l - 21*l**2 - 23*l**4 wrt l.\nAnswer: -92*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b + 4. Let u(p) = -44*p - 52. Let w(i) = -13*q(i) - u(i). Let l(g) = 3*g. Let j(x) = 2*x. Let z(y) = 9*j(y) - 4*l(y). Calculate z(w(k)).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let q = a + 3. Let v(z) = z**2 + 3*z**2 - z**q. Let l(n) = n**2. Calculate v(l(c)).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 109035257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 + 32*m - 10. Let l be i(5). Suppose 12 = -18*x + l. What is the remainder when 19 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmmh when four letters picked without replacement from mmhmdmdmhmdm?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*((1 + sqrt(300))*1)**2 + -4)*5.\nAnswer: 1500*sqrt(3) + 22555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8147*d - 1401433. Determine l(-172).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -2*p - 3*p. Let o = 27 - p. Differentiate 21*g**o + 2 - 10*g**2 - 13 + 0 with respect to g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-10 - (-8 + 2)) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 964 divide 513812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 3*f**5\/5 - f**4\/6 - 15*f. List the prime factors of p(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6541*i**2 + 889*i**2 + 1039*i**4 - 1195*i**4 - 17*i**3 wrt i?\nAnswer: -3744*i - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*a**3*d - 2*a**2 + 47*a - 4*d + 62 wrt a?\nAnswer: 117*a**2*d - 4*a + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 165 + 90 + 75 + 11*u**2 + 12*u**2.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 52206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - 360\/(35 + -5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 5*l**2 + 6*l - 6. Let d be c(4). Solve d*z + 3*z = 3*j + 22, -3*j - 10 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 2149732.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9045.137 rounded to the nearest 100?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/18 and 71\/242266.\nAnswer: 2180394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 561 - 561. Suppose 33219 = 9*j - a*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*w**3 + 122\/7*w**2 - 6144\/7 + 1664\/7*w.\nAnswer: 2*(w - 3)*(w + 32)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9017 in 1, -3, 2\/5, -1\/5, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 525419285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378192622.\nAnswer: 2, 689096311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 510298.7 times 1\nAnswer: 510298.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -44*s - 85. Suppose 261 - 303 = -54*b - 150. What is n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 11*z**2 - 4*z - 8. Let u(w) = -w**3 - w**2 + 1. Let j(o) = -5*u(o) - x(o). Is j(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*u**4 + 2604*u**3 + 49692 wrt u?\nAnswer: 32*u**3 + 7812*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5350 - -3245. Let k = i + 12599\/6. Find the common denominator of k and -91\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 197 - 196.9658. Let s = 9855 + -9854.1378. Let t = s - i. What is t rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -y, -266*s + 271*s - 8*y + 3*y - 35 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 103?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 143*t**3 - 7*t**2 + 10*t - 553. Is i(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.5 (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10389589009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1033 + 1102*d**4 + 3981 + 1445*d**4 + 179 wrt d?\nAnswer: 10188*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13112 (base 6) in base 4?\nAnswer: 133010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 4 + -189 + 182?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2622737*g**2 - 3*g + 214524 wrt g.\nAnswer: 5245474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 656\/99 + -58\/9. Let c(i) = 2*i**2 - 6. Suppose 3*z + 8 = 2*p, -2 - 9 = 4*z - 3*p. Let v be c(z). What is the biggest value in -0.2, v, 2\/3, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yky when three letters picked without replacement from {y: 9, k: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 32399999*o + 7. Let f be p(3). Suppose 3*j + 12 = 0, -c + 4*c = j + f. Suppose 4*t - c = 7*t. What is t rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyaaayyayaaay. What is prob of sequence yaay?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -g, -29*g + 24*g + 10 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14728 = -13*u + 15378. Solve 67*q - 57*q = -u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(23552\/(-10880)))\/((-5)\/20)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, -12, -140, -334, -600, -944, -1372?\nAnswer: -1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 + -1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 20 + 28. Let u be (-24)\/(-4) + (-3 - -3). Suppose 7*v = 9*v - u. Calculate the greatest common divisor of v and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20449 = 18*s + 18469 for s.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 6 = -8*n. Suppose -n*t + 827 = 197. What is the hundreds digit of (22\/(-5))\/((-3)\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 2*y + 32*y = 180 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153 - 21513?\nAnswer: -21666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -35, 6, 1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 6 = -u, -6*u + 7*u = 3*x + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 5130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 21423?\nAnswer: 21414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 - 84*z + 51. Calculate c(22).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 1 + 0 + sqrt(700) + 1 + 3)**2.\nAnswer: 200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:27 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -804, 6738, 27372, 67644, 134100, 233286?\n\"Answer: 1091*b**3 - 95*b - 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r + 2. Let o be s(1). Suppose o*a + 3*a + 120 = 0. Let i = -22 - a. Let c(n) = -n**2 - 4*n + 3. Calculate c(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2459 - -2539. Let c be (-34)\/8 + 1\/4. Let i be c\/(8\/(-20) + 0). Calculate the greatest common divisor of i and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**2 + 2*d - 4. Let o(p) = 8*p**2 - 2*p + 3. Let r(h) = 3*o(h) + 2*u(h). What are the prime factors of r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 16*n - 38. Give u(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045010163 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = 8. Let l = -202 + 201. Which is the third biggest value? (a) l (b) o (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -51458 and -3.\nAnswer: -51461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/32 and 53\/548.\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7431 - 7431. Let c(j) be the second derivative of 5\/2*j**2 + 0*j**5 - j + 0*j**4 - 11\/30*j**6 + 0*j**3 + n. What is the first derivative of c(k) wrt k?\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 15*j + 1. What is d(-16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6276.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5316048 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from ggggoogggogooggggg?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by 1.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6588831 + 3*k - 6588831 - 347*k**2 - 2*k**2 + k**2 - k**2 + 3*k**2 - k**2 - 3*k**2 + (4*k - k - 5*k)*(-2*k - k + k).\nAnswer: -346*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 + 45*m**4 + 435*m**3 + 275*m**2 - 750*m = 0. What is m?\nAnswer: -5, -2, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13 = 3*a + 11, -5*a - 5 = 2*l. Suppose -l*j + u + 12 = 0, 3*u = -5*j - 2*u. Let q be -5 - -1*1 - -1. Put j, q, -2 in descending order.\nAnswer: j, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3664, 7118, 10572, 14026, 17480, 20934?\nAnswer: 24388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 + 1\/3*b**2 + 0*b.\nAnswer: (b - 2)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -5326\/210251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -121323331?\nAnswer: -121323333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2655 and -65\/378.\nAnswer: 111510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - a + 6. Let x be n(0). Let b be (4\/x)\/((-1)\/(-3)). Let s be -1*1*(1 - b). Is 2 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4932060 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/22 and 2\/(-48)*132\/(-8).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/(-620))\/((-6)\/15). Let v = -1.353 - -1.653. Which is the closest to z? (a) 2\/7 (b) v (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -4. Let z = -4 + o. What is the units digit of 267\/z - 1\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 3, k: 8, p: 5, h: 2}. Give prob of picking 1 h and 2 m.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.5, 65, 52.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*c**4*z**2 - c**3*z**2 + c**2*z**2 - 24*z**2 + 2*z wrt c?\nAnswer: -1008*c*z**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25600 and 24280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/42186696 and 125\/21093348.\nAnswer: 42186696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 24. What is p(21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*33.1682\nAnswer: -33.1682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - 5*f)*(-506 - 28 - 166 - 2*f).\nAnswer: 10*f**2 + 3500*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2a252 (base 15) to base 9\nAnswer: 225815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + n**2 - 2*n - 2. Suppose -4*k - 2*v = -5*v - 9, 0 = k - 4*v + 1. Let m = 46 - 27. What is the remainder when h(k) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/5)\/z*z\/(z**0\/z))\/((z\/z**(1\/4))\/(z*z*z\/(z\/(z**(-6)*z))*z)))**(-1\/10))**(-12\/7) assuming z is positive.\nAnswer: z**(-3\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33242148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13158672 <= 13158648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8*4\/8 + 3). Let u(x) be the second derivative of -1\/4*x**4 + 2\/3*x**3 + 0 - 1\/2*x**v - x. Factor u(n).\nAnswer: -(n - 1)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20203 and 1157?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 512 divided by -115\nAnswer: -512\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525153 is divided by 152?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)\/(c**(-2\/21)*c) assuming c is positive.\nAnswer: c**(-17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n - 250 = -93 + 250 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-12) - 578\/(-6). Let g = -93 + k. Suppose -2*d = 2*h - 6, -3*d + 2*d - g = -4*h. Calculate the greatest common factor of d and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**5 + 0*f**4 + 3*f + 0*f**2 - 1\/15*f**6 - 1\/6*f**3 + 0. Find the second derivative of b(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/3 - 7\/3. Let l(a) be the first derivative of 1\/3*a**5 + 5\/12*a**4 + 0*a**3 + 1\/12*a**6 - 1 - p*a - 5\/12*a**2. Suppose l(k) = 0. What is k?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002210101210 (base 3) to base 5.\nAnswer: -241232343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62003867 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -96*b - 933. Determine j(-11).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 83, 129, 217, 359, 567?\n\"Answer: 2*r**3 + 3*r**2 - 7*r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 10*g + 5. Let z be y(10). Suppose -16 + z = -n. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3 - 2 + 2*o + 5. List the prime factors of r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13*13\/(-169) + 6. Is 1.77 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75904222 is divided by 4977.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 divided by -91?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5243 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.476 or 0.3?\nAnswer: -19.476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 10*o**2 - 2*o + 7. Calculate c(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 7:12 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 37\/668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.6587 * 0.02\nAnswer: 0.013174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 0.2 (c) -5 (d) 0.93 (e) -0.05346\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 529*o**3 + o - 2*o - o.\nAnswer: 529*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000217 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 39, -55 in descending order.\nAnswer: 39, 1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 63. Calculate the remainder when y(8) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2057) - sqrt(2057))*-2 + 5 + -3 + sqrt(2057)*2 + (-1 + 0 + sqrt(2057) - sqrt(2057)) + 1)**2.\nAnswer: 440*sqrt(17) + 205704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 107940\/(-70)*4\/6. Let y = -558 - a. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 3. Let g be p(1). Let v be (-2*(-2)\/(-24))\/(1\/g). Let n be ((-12)\/165)\/(2\/5). Which is the second smallest value? (a) v (b) 1\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/16, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, -1.9, 4.9, 1 in descending order.\nAnswer: 4.9, 1, -0.4, -1.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4537 = 13*s + 533. Suppose s - 92 = 9*v. What is the remainder when 165 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1553*-15*(-2)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*w - 185, -3*w = -9*v + 10*v - 95. Suppose 0 = w*z + 37*z. Determine x, given that z - 16\/5*x**2 - 2\/5*x - 32\/5*x**3 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 a when four letters picked without replacement from {m: 6, a: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 333 and 180897403?\nAnswer: 1628076627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 17.2. Which is greater: 0.0247 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/97? (a) -2\/9 (b) 5 (c) 2\/7 (d) -0.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 1. Let h(b) = -4*b - 6. Give h(x) - 6*v(x).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/62, -34, -0.03, -40 in descending order.\nAnswer: 1\/62, -0.03, -34, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.63 - -0.07. Let s = n - 0.8. Let i = -912 - -911.2. Which is the closest to s? (a) 3 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15488280 and 972?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*v - 241*v + 744*v - 206*v.\nAnswer: 82*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/80 or 0.1?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3))**(-23)\/(n\/n**(1\/7))**(-47))**17 assuming n is positive.\nAnswer: n**(13005\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/312 and 49\/1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.6 + -3.6. Let x = 0 - -0.9. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*w + 3 - 9, -5*w = d + 3. Is (4\/12)\/(w\/(-105)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 1600\/3*c - 760\/3*c**2 - 28 - 1\/12*c**4 - 79\/9*c**3. Factor r(x).\nAnswer: -(x - 1)*(x + 40)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let y(a) = a**3 + 66*a**2 + 2*a + 131. Let s be y(-66). Which is smaller: s or -2\/2001?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964*l + 30 = -969*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/15? (a) 1\/3 (b) -2 (c) -0.38108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000071984 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*v - 144 - 205 = 0, -2*l = -3*v - 695. Solve 340 = -3*y + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**5 - 56*h**4 + 84*h**3 + 160*h**2 - 176*h - 192 = 0.\nAnswer: -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22728757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1209 - -2263. Let p = f - 1054.003175. What is p rounded to 4 decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 - (-16 + 4 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30771 (base 9) to base 13.\nAnswer: -9328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n - 39. Let k(c) = 7*c + 40. Give 4*k(q) + 5*r(q).\nAnswer: -2*q - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*l**3 - 3*f*l**2 - 8*f*l + 24*f - 293*l**6 - 38*l**5 + l**2 wrt l.\nAnswer: -12*f - 35160*l**3 - 2280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 * 1305\nAnswer: 87.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/373, 0.06, -3 in descending order.\nAnswer: 0.06, -2\/373, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 558*x - 37847. Determine r(79).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10340 - 3?\nAnswer: -10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(1\/5)*h))**(-37))**(-1\/2) assuming h is positive.\nAnswer: h**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1901504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 3*i + 7. Let d be f(-6). Let v = 41 - d. What are the prime factors of 2*1\/2*v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 5*o**2 - 2*o + 6. Let l be w(5). Let b be ((-4)\/l)\/(2\/(-14)). Is b greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -7105732\nAnswer: -7\/7105732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122222 - -22?\nAnswer: -122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2755561323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25721, 51422, 77123, 102824, 128525, 154226?\nAnswer: 179927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 24*l**2 - 43*l + 78. Let b be x(-22). Calculate the highest common divisor of 112 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -224, -234, -252, -278, -312, -354?\n\"Answer: -4*t**2 + 2*t - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 117*s - 4 = -121*s, -5*i = s - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -9 in descending order.\nAnswer: -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28850)\/(-60) - 4\/72*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 + 48027*v**4 + 144063*v**3 + 144057*v**2 + 48018*v.\nAnswer: 3*v*(v + 1)**3*(v + 16006)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - -21. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54924419?\nAnswer: 11, 4993129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/9041?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1. Let m(g) = 2*g**2 - 18*g - 3. Let h(o) = m(o) + 6*r(o). Let b be h(9). Solve b*n + 1 = 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320217, 640433, 960649, 1280865, 1601081, 1921297?\nAnswer: 2241513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.419.\nAnswer: -0.0838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -6 - (3 - (-256)\/(-2)) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 13*i**2 + 7*i + 95. Let b be w(-13). Solve -6 = -2*c - 6*l + 4*l, -l = -b*c - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. Suppose 6*d = w*d + 48. Suppose -4*y - g + d = 3*g, 0 = -y + g - 1. Which is the closest to -0.1? (a) 4 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1236328 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 875 and 585200?\nAnswer: 2926000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + l + 2*l, 0 = o - l. Let c = o - -4. Suppose -3 = -2*n + n. Solve -n*i - 3*q + 13 = -2*q, -c*i + 5*q - 8 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000000 + 101?\nAnswer: -10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -38*z + 1260. Give k(39).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 13*n**2 - 13*n - 12. Let r be f(-12). Suppose 6*d - d - 40 = r. What is the lowest common multiple of d and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 0.2777 (c) 90 (d) 195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -44) + (73 - 99)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 2. Suppose 0 = 5*w + 5*y - 430, y = -4*w - 56 + 400. Let d = -56 + w. Let h be (-48)\/d*(-5)\/2. Let a(x) = -2*x - 1. Determine h*a(r) + 3*b(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 - (-309)\/(-45). Let k = -7 - v. What is the second biggest value in 1, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Factor g**2 + g**4 - 55*g**c + 58*g**3 + g**2.\nAnswer: g**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67.38 + 67.37989488. What is f rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 75690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*k - 617 + 2686, 2*k - 2*h = 1406. Solve 5*y - k + 693 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s**(-1\/4)*s))\/s))\/s)**(4\/7)*(s**(-2\/9))**34 assuming s is positive.\nAnswer: s**(-449\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 12*l**2 - 12*l - 8. Suppose -8 = -3*b - 23, -4*b = 4*h + 64. Let p be s(h). Solve x - 5*o - 2 = -4*o, p*x + 2*o = -19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 55098320.\nAnswer: 55098320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 846?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-10))\/(9404\/(-223345))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2. Let y(j) = -23*j - 17. Let k(q) = -8*q - 6. Let r(c) = -17*k(c) + 6*y(c). Calculate r(x(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -8 + 1 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f. Suppose -3*a - 6 = f, 0 = -o - 0*a - a + 1. Suppose n - 1 = 0, -o*n + 6 = -q - 0. Is -3 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 25*l**2 - 78*l + 3. Let b be h(-6). Suppose -d + 4 = 2. Let s = 2 - d. Sort 6, s, b in decreasing order.\nAnswer: 6, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -9*z. Suppose -2 = q - 2*q, z = 3*h + 2*q - 487. List the prime factors of h.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(15\/3))\/((65\/(-5))\/(-26))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57374 is divided by 255?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29438*z = 29938*z - 2500 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1632333 (base 7) to base 15.\nAnswer: -471d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*k**2 - 88 + 88)*(-5*k**2 - k**2 + 4*k**2).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -11*j + 90. Let 6 + 5*g**3 + j*g**2 - 15 - 17 - 4 - 25*g = 0. What is g?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30707, -61415, -92123, -122831, -153539?\nAnswer: -184247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0841 - 0.0039. Let c = q + 0.0881704. Round c to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-36) - ((-4)\/24 + 1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2634833391 and -0.3?\nAnswer: 2634833391.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1048 and 1801.\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9565.59783 minus -2.17?\nAnswer: 9567.76783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 + 40 = 5*m, 0 = 3*t + 4*m - 29. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*(c*c**2\/c)\/c)**(1\/6)\/(c**(2\/13)\/(c**(-2)*c)*(c**(-1\/2))**(-4)) assuming c is positive.\nAnswer: c**(-43\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q - 4*q)*(0*q + 0*q + q**2) + q**3 - 1 + 1 + 26*q**3 + 4*q**3 - 7*q**3 + (-2 - 1 + 2)*(q**3 + 0*q**3 + q**3) - 3*q**2 + 3*q**2 + 2*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.99999981 - -1. What is h rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5.2*1\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-15)\/b)\/b*b)**(-2\/11) assuming b is positive.\nAnswer: b**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-11\/3))**41 assuming y is positive.\nAnswer: y**(-328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. What is the second derivative of h*i**2 - 18*i + 16*i + i**2 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 544217276 by -136054319.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -140186*q + 2. Let g(v) = -v. What is g(x(f))?\nAnswer: 140186*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*m**2 + 2*m**2 + m**2)*(-4*m + 5*m + 0*m).\nAnswer: 5*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {d: 15, l: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**3 + 14*s**2 + 3*s - 5. Let m(z) = -2*z**3 + z - 1. Let n(k) = -2*m(k) + q(k). Find the second derivative of n(w) wrt w.\nAnswer: -12*w + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15067, 31064, 47067, 63076, 79091, 95112, 111139?\nAnswer: 127172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -153\/4. Let v = -0.1 + 0.2. Sort i, v, -0.4 in ascending order.\nAnswer: -0.4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p**2 - 145*p - 46. What is h(-18)?\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + k**3 - k**2 + 0*k**3 + 10*k**2 in the form q*k**2 + c*k**3 + h + b*k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/18 and (-2443)\/616 + 2\/22?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247a2 (base 15) in base 7?\nAnswer: -663404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100010010111101 (base 2) to base 16\nAnswer: -44bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = p + 2*b, -4*b = 25*p - 26*p + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7 + 0*n**2 + n**2 + 2. Suppose 3*a + 3*x = 12, a - 2*x - 3 = 1. List the prime factors of u(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j. Let g = -5116 + 5117. Let z(l) = -7*l**3 - 25*l. What is g*z(p) + 6*v(p)?\nAnswer: -p**3 - 19*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3752426 and 43152?\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7262*a + 7263*a - 9 = 5*h, -3*h + a = 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2109274, 2109271, 2109268, 2109265, 2109262?\nAnswer: 2109259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367853023?\nAnswer: 29, 59, 214993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 10*r + 17. Let z be i(-11). Suppose z = -22*x + 24*x. Factor 10*g**2 - 26 + 3*g**x - 4*g + 8 + 8*g**2 + g.\nAnswer: 3*(g - 1)*(g + 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.16 + 0.04. Let n = 448616 + -448615.7. What is the third biggest value in n, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 30*b**2 - 34*b + 173. Let l be o(19). What is the highest common factor of 161 and l?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j + 6. Let i be (-2 - (5 - -2))\/(69\/(-46)). Which is the biggest value? (a) j (b) 1\/8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 4*z**3 + 5*z**3)*(3 - 2 + 0)*(-2 - 1 + 1).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093817.5 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8321 is divided by 1682?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:52 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 3\/2 (c) 43 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 17\/7 (b) 2 (c) -19 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196*r**2 - 209*r**2 + r - 206 + 6*r**2 - r to the form m + v*r + j*r**2 and give m.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*q - 110, -12 = -3*q - x + 92. What is the derivative of -3*k**4 - 40 + 24 - q - 11*k**4 + 120*k**4 wrt k?\nAnswer: 424*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 2\/5, -3, 6, 75346?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 2, g: 10, j: 1, a: 2}. What is prob of sequence za?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 96.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -7\/2*j**2 + 1\/12*j**4 - 2\/15*j**6 - 45*j + 0 - 2\/3*j**3 + 0*j**5. What is the second derivative of i(b) wrt b?\nAnswer: -48*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6*12\/(-9). Solve 2*w - 32 = -5*f - z*w, 3*f + 3*w = 21 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m + 1. Suppose -492 + 114 = -9*t. What is the remainder when t is divided by f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2681 - 8439 = -2*x, -4*n + 11516 = 4*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 42*r - 16 = 0. Suppose -l + 167 + r = 0. Let d = l - 109. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 69506535?\nAnswer: -69506530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:43 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/2 - 38*p**2 + 400*p - 1024 = 0. What is p?\nAnswer: 4, 8, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 8:23 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -70 + 15. Let r = 61 - -101. Suppose u - 6*u - t + r = 0, -5*t - 54 = -2*u. Calculate the remainder when u is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3 - 4976940*q**2 + 15*q + 111463?\nAnswer: 6*q - 9953880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*o - 5*x, -o - 2*x = -4*x + 1. Suppose -o*j = -20, z + 0*z - j - 1 = 0. Suppose -z*g = -2*g - 51. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14500*f**4 - 100*f**3 - f**2 + 187634656*f wrt f?\nAnswer: 174000*f**2 - 600*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2429746 rounded to 3 dps?\nAnswer: -1.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4452111 + -4?\nAnswer: -4452115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 0*g - 2*g**5 + 16\/3*g**2 + 28\/3*g**4 + 0 - 40\/3*g**3 = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, 5, 0.04, -10, -14, -0.3 in ascending order.\nAnswer: -14, -10, -0.3, 0.04, 0.29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/15))**(-5\/12))**(-2\/37) assuming r is positive.\nAnswer: r**(-1\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -5, -72\/23, -0.3, 7\/2, 2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0*s**4 - 12\/7*s**7 + 0*s**5 + 2*s - 25 + 45*s**2 + 1\/6*s**3 + 0*s**6. Find the second derivative of i(u) wrt u.\nAnswer: -1440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - k + 1. Let s be c(1). Let i = 2 + 1. Suppose -i = -0*j - j. Solve 0 = 3*x - 4*z + 35, 4*z = j*z + s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4543 equal to -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, w: 1, m: 1, i: 1, q: 2, v: 1}. Give prob of sequence iwqp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4620361 (base 8) to base 14.\nAnswer: 248c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 - 3*g**3 - 17 + 0*g**3 + 43 + 17*g**2 - 5*g**5 - 14 - 5*g**4 + 28*g = 0. Calculate g.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 42*j + 80.\nAnswer: (j - 40)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8939585 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let t(x) = 59*x - 107. Let z be t(2). Let o be 21\/(336\/(-80)) + z + -1. Calculate the greatest common factor of o and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 73\/1*70 - 0. What is u rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 44. Suppose -20*s + y*s = -119. Calculate the highest common divisor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2. Let p(y) be the third derivative of y**5\/30 + 31*y**3\/2 - y**2. Calculate p(u(r)).\nAnswer: 8*r**4 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*f + 16, 0 = -3*f + 2*x + 736 - 732 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72083 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -3*b**3 - 15*b**2\/2 - 6*b - 2. Factor j(t).\nAnswer: -3*(t + 1)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -18 (b) -2.1 (c) 2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-195)\/(-10))\/(1\/2). What is the highest common divisor of l and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:19 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -2886?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49550160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/136324 and -69\/8.\nAnswer: 272648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3778604 times -0.5\nAnswer: 1889302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4758 a factor of 587479776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54173?\nAnswer: 7, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106 - 9233246005?\nAnswer: -9233246004.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4)*48\/18. Suppose -6*y + y**2 - 2*y**n - 2*y**2 = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 - 2 + 0)*(-1 + 3 - 1) - 1 - 5 - 1)*(-2025 + 2025 - 159*o**4) to m*o**3 + k*o**4 + t*o + h + g*o**2 and give k.\nAnswer: 2226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 7*o**2 - 5*o + 40. Give c(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, 4, -14, -38?\n\"Answer: -3*y**2 - 3*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b - 44 = -25*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:05 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-6*70\/(-360)). Let x(v) = -2*v + 20. What is x(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - -7) + (-1187208)\/168960 and 121\/624?\nAnswer: 24960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3239066.\nAnswer: -12956264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*p**6 - 259*p**2.\nAnswer: -8640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 + 10547 - 10547.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62911.7t to kilograms.\nAnswer: 62911700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1424866, -2849681, -4274496, -5699311?\n\"Answer: -1424815*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 982793 greater than 982634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*a - 4*y - 23, -y - 28 = -5*a. Let u = a - -2. Let s(k) = -k + 7. Let z be s(u). Solve z = -0*b + b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81\/76 - 6\/19. Let v = -0.1 - -0.1. What is the third biggest value in m, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 9. Let s be j(-3). Let d be 4\/2 - s - -46. Let n = 112 - d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4187 - -4188. Put 0.4, o, -98 in descending order.\nAnswer: o, 0.4, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 1, s: 5, t: 3}. Give prob of sequence js.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 2*i**2 - 1 + 2)*(-2*i**3 + 5*i**3 - 4*i**3) - 5*i**5 + i**5 + 2*i**5.\nAnswer: -3*i**5 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8167721*h*t**3 + 2*h*t**2 + 2150*h + t**3 - 1257*t wrt t.\nAnswer: -49006326*h*t + 4*h + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -620 by 5.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 98803.1 days?\nAnswer: 142276464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -21 + -35 + -22 + 6\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 + 4*b**4 - 3*b**3 - 10*b**2 + 8*b.\nAnswer: b*(b - 1)**2*(b + 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -7. Let v(t) = -3*t - 2. Let u be (-10)\/15*6\/(-1). Let c(f) = -2*f + u - 6 + 1. Calculate p*v(n) + 5*c(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 3*a**2 + 637*a - 637*a.\nAnswer: 3*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1221)\/110)\/(-37) + 47\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/5, -3, 0.45, 4, 9 in descending order.\nAnswer: 9, 4, 0.45, 1\/5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 24 + 20. Calculate the remainder when (3 - 2) + (-24)\/(-3) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 0*a**4 - 7*a**4)*(1 + 2 - 4 + (-1 - 3 + 6)*(5 + 0 - 4) + 3 - 7 + 1) + (-2*a + 1 - 1)*(0*a + 2*a**3 + 0*a) - a**4 - 4*a**4 - 3*a**4.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + 787. What are the prime factors of n?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1334 (b) 3\/7 (c) 0.02 (d) 13 (e) 0.3 (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3212150 divided by -2.\nAnswer: 1606075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:25 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 48\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {m: 4, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 40\/3. Let p = -60 - -65. Let o = p + -21\/4. Which is the closest to o? (a) 0.1 (b) 5\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*a - 176*a = -16. Let f = -12279 - -233235\/19. Which is bigger: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1406 and 1413733.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = -3*v. Do v and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1925 and 5?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.22884 decades in months?\nAnswer: 3387.4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3458*r - r**2 - r**2 - 3468*r.\nAnswer: -2*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f + 3 + 0 - 4)*(-24*f - 554 + 16*f + 3*f) as c*f + z*f**2 + k and give c.\nAnswer: -3319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 609595775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**18*v**(-1\/21))**(13\/3))**(19\/3) assuming v is positive.\nAnswer: v**(98306\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0*r - 9*r**2 + 0 - 1\/15*r**5 + 0*r**3 + 0*r**4. Let h(x) = 2*x**2. Calculate h(u(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 + 8*t. Let u(q) = -4*q**2 + 8*q + 1. Let i(d) = 4*u(d) - 3*x(d). Let j be i(6). Let l = 17 + -9. Solve -b - j = h + 2*h, -h + l = -3*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 28. Do h and -5.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -22*f - 88. Let q be g(-9). Let b = -93 + q. Suppose -h + 226 = -3*u + 687, u - 3*h = 159. Calculate the highest common factor of u and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4352\/170 + -25 - 0.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -2.08 (c) 1537\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 542?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -2.96. Which is the nearest to 1\/3? (a) 1 (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**8\/10080 - a**5\/30 - a**2. Let n(c) be the third derivative of b(c). Let j(o) = -4*o. What is j(n(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314490, -314491, -314492, -314493?\nAnswer: -314494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 66, -2\/7, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0305632 and 8.02.\nAnswer: 7.9894368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 16*v - 42. Let p be t(19). Calculate the highest common divisor of 75 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {p: 3, z: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 314632*y - 5. Let i(n) = 4*n. What is l(i(q))?\nAnswer: 1258528*q - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*x - 195*x + 15444. What is the remainder when x is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 216 = 2*l - k + 241, 4*k = -l - 45 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 597 - 16121\/27. What is the third smallest value in 2\/5, -0.3, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35602 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -33*b**3 - 2*b**2 - 4. Let x be f(-2). Calculate the greatest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1558006 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1003 - -1423. Does 22 divide 1\/7 + 64620\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxcu when four letters picked without replacement from ccxuxxucxcccc.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 7*k + 2*k - 27, 3*k = -2*h + 15. Let l = h - 3. Solve 5*g + 1 + l = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(272) + sqrt(17) + sqrt(17) + 3 + (sqrt(1700) + -1)*-5.\nAnswer: -44*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 832451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 1\/10, 2\/7, -23.3609, -4\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-153 - (37 + -14)) - 28.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7183 or -7184?\nAnswer: -7184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3158627826.\nAnswer: 2, 3, 21601, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 5*q**4\/6 - 44*q - 14. Let i(l) = -110*l. Determine i(g(h)).\nAnswer: -1100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*b + 167 + 765 = 148 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 + 0 = 4*r, -4*r - 4*t = 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 15 = 35. Let y = -5 - 0. Which is the third smallest value? (a) 0.1 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**3\/6 + 7*s**2\/2 + 285*s. Suppose -26 = 2*j - 7*j - 2*d, 0 = -3*j - 4*d + 10. Calculate y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4497 bigger than 101\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (4 - (-176 - -3)). Let q be c\/7 - (-2)\/7. Suppose 0*d + 3*d - q = -5*a, 5*a + 4*d - 20 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 1731. Let c(p) = 15*p**2. Give x(c(j)).\nAnswer: -30*j**2 - 1731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33260 is divided by 913.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.929554 nanograms in milligrams?\nAnswer: 0.000001929554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 - 11000996*d**2 + 418033516*d - 3971304684 = 0. Calculate d.\nAnswer: 19, 2750211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2148221351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/20 + 8\/(-10). Suppose c = -6*j + 14 + 10. Suppose -4*t = -16, -j*v - t + 169 = -v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2 - 56*g - 6*g**2 + 15*g**2 - 11*g**2 + 8*g. Let a be i(-24). Solve -t + 1 = -m, a*t + 8 = -0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v*v**(-1\/2)*v)\/(v**(4\/7)\/(v**(1\/6)*v*v)) assuming v is positive.\nAnswer: v**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2678)\/(-39))\/(2 - 8\/6). Solve 2*c = k - 3, -n*k - 4*c - 11 = -100*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 158, 444, 886, 1478, 2214?\n\"Answer: -h**3 + 84*h**2 + 41*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6588325 + 1a?\nAnswer: 6588344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 88, -4540 in decreasing order.\nAnswer: 88, -2, -4540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*c + 72834 = 89*c - 1161*c - 202*c for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d + 3. Let c(t) = 0 - t**2 + 0 - 1 - 5*t. Let p be c(-4). Is r(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76585 is divided by 6962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 12. Let n(c) = -27*c + 61. Let x(q) = 11*j(q) - 2*n(q). Is x(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-690)\/(-4)*154\/21.\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 125, 121, 103, 65, 1, -95?\n\"Answer: -u**3 - u**2 + 6*u + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*s = 150, -s - 150 = -5*w + s. Calculate the remainder when 83 is divided by (-15)\/w + 114\/4 + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11)\/3)\/11)\/((-4)\/(-6)*189\/702).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*l + 67. Let o = l - -19. Solve 0 = -2*q - 0*s + o*s - 4, 0 = -3*q + 4*s - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*t + 3)*(6*t + 1 - 7*t + 2*t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (25 - (-29 - -19) - -8)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/66701445 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d. Suppose 100*a - 1104 = -309*a + 41*a. Solve 7*h - a*h + 4 = d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/12*(-28 - (-2022)\/72)*(114 - -3)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -29. Let d = k - 30.1. Let y = d + -0.9. Sort -1\/3, 0.2, y in increasing order.\nAnswer: y, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/4 + 24*p**2 - 267*p\/4 + 87\/2.\nAnswer: -3*(p - 29)*(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 3*z**2 - 2*z + 4. Let r be w(0). Solve -4*q + r*b = 16, -5*q = 4*b + 2 - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/((-8)\/240*-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -115 + -16518476\nAnswer: -16518591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/48 + n**3\/24 - n**2\/4 + 6*n. Factor z(u).\nAnswer: (u - 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8144092980922 and 0.\nAnswer: -8144092980922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2840, 2943, 3046, 3149, 3252?\n\"Answer: 103*k + 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 17.144. Let x = o + -0.04. Let z = 0.1927 + x. What is z rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -64. Let w(r) = r**3 + 6*r**2 + 5*r + 6. Let b be w(-5). Suppose 4*h - b*h + 10 = 0. Sort h, 2, t.\nAnswer: t, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + sqrt(143)*1 + sqrt(143))\/sqrt(11))**2 + sqrt(39)\/(2*sqrt(3)).\nAnswer: sqrt(13)\/2 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 159448.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2, 3.1, 4 in decreasing order.\nAnswer: 4, 3.1, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-20)*(1010\/404 - 39\/22)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, a: 4, p: 1, f: 5, g: 3, z: 1}. Give prob of sequence ag.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -3492.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/9120 and -17\/1920?\nAnswer: 36480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = -5*o - 236 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*k + 4*k - 4, -y - 2 = -3*k. Let d = -906 + 912.89. Let t = 7.29 - d. What is the third biggest value in t, k, 2, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-2 + 0 + -175). Suppose 5*k - 90 = 2*k - 5*n, n = 5*k - m. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8208, 65725, 221888, 526035, 1027504?\n\"Answer: 8223*k**3 - 15*k**2 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8985747 is divided by 514?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -59. Let a be (-68)\/(-6) - (-2)\/(-6). Suppose -2*y = -y - a. What is the least common multiple of u and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1576331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56001 (base 7) to base 15.\nAnswer: 4279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*r - 12, 9 - 1 = -r - 2*j. Suppose 2*l = -5*k + 83, 2*l - 133 = -r*l + k. Calculate the remainder when 169 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:44 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 0*c**6 + 19*c**2 + 0*c**5 + 0*c - 29\/6*c**4 + 1 + 23\/336*c**8 + 0*c**7 + 0*c**3. Find the second derivative of j(b) wrt b.\nAnswer: 460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2879 = 78*t + 195*t + 6676 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/44 and -109\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4 - 2)\/(4\/218)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 27 = -2*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2 - 8 - u + 3. Let o(z) = 1. Determine -2*a(h) - 5*o(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 20. Let m = -9 + f. Let z = 0.3 + -0.2. Which is the nearest to z? (a) -0.3 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - v - 16 = 0, 14*v - 23 = -3*d + 12*v. Let i(z) = 4 - z + 3 - d*z**2 + 3 + 10*z**3 - 9*z**3. Calculate i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.6 + -12.6. Let m = -1724 - -1753. Let o = m + l. Which is the third biggest value? (a) 3 (b) -2\/7 (c) 0.3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -498*q**2 + 17*q + 13. Let p be x(-6). Let m = p + -5083. What is m rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in -5, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/215?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 992\/7. Which is the third biggest value? (a) 3 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 + -115. Calculate the remainder when v is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.57 - 0.77. Which is the third biggest value? (a) s (b) -1.7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 120, 534, 1224, 2190, 3432, 4950?\n\"Answer: 138*g**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21788, -43555, -65322, -87089, -108856, -130623?\nAnswer: -152390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(5\/3)\/h))\/(h*h**(-7)))**(-45)*(h**(1\/10)\/h*h*h**(2\/3)*h*h*h)\/(h**1*((h**(2\/13)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-126511\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*t**4 + 2*t**2 - 5368*t + 3239750 with respect to t.\nAnswer: 68*t**3 + 4*t - 5368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -91167050860 and 96?\nAnswer: 91167050956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749103 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 14*w - 5*w)*(-2 + 0 + 0)*(-6 + 5 - 1)*(3*w + 2*w - 2*w)*(115 - 77*w + 121 - 235).\nAnswer: -9240*w**3 + 120*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*l**5 - 111*l**4 - 1316*l**2 + 43*l wrt l?\nAnswer: 7320*l**2 - 2664*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 278\/52 - (-4)\/26. Let d = 0.017 - -0.383. What is the second biggest value in d, f, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 11. Let a(i) = 2*i - 2*i - 6 - i**2. Let q(d) = -d**2 - 7. Let z(u) = m*q(u) - 7*a(u). Let o(w) = -4*w. What is z(o(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)\/(f*f**2)*(f**0\/f)**10 assuming f is positive.\nAnswer: f**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/227685 and -83\/21?\nAnswer: 1593795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*c + 3*z, -5*z + 4 + 0 = 2*c. Solve -36 = -3*k + c*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4364461 (base 9) to base 14.\nAnswer: -450b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -8 (c) 1643\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66, -541, -1846, -4395, -8602, -14881, -23646, -35311?\n\"Answer: -69*y**3 - y**2 + 11*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -940*l**3 - 2*l**2 - 39*l + 2 wrt l?\nAnswer: -5640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2589*o - 3126*o + 2483*o - 6697*o to the form v*o + c and give v.\nAnswer: -9929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44235 is divided by 11084?\nAnswer: 10983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 5*d - d)*(-3 - 2 + 4)*(d - d + d + (-d - 4 + 4)*(1 + 2 - 4)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/(-22))\/((-9)\/18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 8, z: 1, m: 4, g: 1}. Give prob of picking 1 g and 1 z.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1947062*v**4*w - v**2*w - v*w - 1896157*v wrt v?\nAnswer: 23364744*v**2*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:43 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 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: Which is greater: -1 or 1\/7652645?\nAnswer: 1\/7652645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 31*p**2 + 555*p - 35. What is the remainder when (-8)\/24 + (-410)\/(-6) is divided by j(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32272161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3 - 1)*(670\/(-30) - -22)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8*30\/(-4))\/(1\/(-32)). Let p = 3217 - d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 16. Suppose -2*x = v*o - 18, 4*x - 3 = -4*o + 9. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from emimieezrezmlzz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -89. Let n = -66 - p. Solve n*a - 10 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46956 and 14231581.\nAnswer: 3913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 296175*k**5 - 13143*k**2 - 22?\nAnswer: 17770500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*c**3\/4 + 91609353*c**2\/4 + 8328114*c + 757101.\nAnswer: 3*(c + 252367)*(11*c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 0)*(-3*o**2 + 0*o**2 + o**2) - 4*o**2 + 14*o**2 + 15*o**2 to the form u*o**2 + l + d*o and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -178, -258, -342, -430, -522, -618?\n\"Answer: -2*j**2 - 70*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 14618573423.\nAnswer: 14618573422.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -383060, -766107, -1149140, -1532153, -1915140, -2298095?\n\"Answer: f**3 + f**2 - 383057*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 - 1.16. Let d = o - -1.3. Let i(s) = 6*s - 45. Let q be i(8). What is the nearest to d in q, -0.6, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/7 + 10550*x\/7 + 105300\/7 = 0 for x.\nAnswer: -5265, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 4 - -2 - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/4, -16, -0.6, 673, 1\/2 in ascending order.\nAnswer: -16, -0.6, -1\/4, 1\/2, 8, 673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*(24 - 33).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*i**2 - 71*i**2 + 27*i**2 + 20*i**2 + i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 11047, 5, -11 in descending order.\nAnswer: 11047, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/10 - (-27)\/45. What is the third smallest value in c, 3, 0.2, 2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/15*(-7)\/4 - -2. Which is the closest to -1\/19? (a) -1 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 6. Let i be c(6). Suppose i*a = -5*j - 2*a + 68, -40 = -4*j + 2*a. Factor j*v**5 + 9*v**5 + 15*v**4 + 4*v**3 - 9*v**5 - v**3.\nAnswer: 3*v**3*(v + 1)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168651808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:58 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + q**3 - q**2 - 24 - q**4 - q**4 + 14 + 11 as r + o*q**3 + f*q**2 + t*q**4 + u*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-4\/9)*v**25*v**(1\/7)\/((v*v\/(v\/v**40))\/v) assuming v is positive.\nAnswer: v**(-845\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.07 (b) 0 (c) 5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 3*y + 2. Let q(o) = 2*o**2 + 7*o - 5. Let j(k) = -9*g(k) - 4*q(k). Let p be j(2). What is the tens digit of -3 - (-42 + (p - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 153*r - 1561. Let u be z(0). Which is bigger: -1560 or u?\nAnswer: -1560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2627 - 2633)\/(-2 + (-4)\/(-1)))\/(-17)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 86 = -21*v + 16*v, 3*v - 2*n - 50 = 0. Let a(h) = -1 + 3*h + 1 - h. Let u be a(1). What is the greatest common factor of v and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:25 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w = 20*w + u + 5, 15 = -3*w + 2*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3660)\/(-100) + (-34 - 3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q. Let h be (-2 + q)*(-15)\/6. Solve h*f + 0 = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -154, 0, 4.\nAnswer: -154, -7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*q + 5*q - 88 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*-2 - sqrt(152))\/sqrt(8).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 1 + -1 + sqrt(288) - (-2 + (-6*-1*sqrt(288) - sqrt(288) - sqrt(288))))**2.\nAnswer: -13005 + 1080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 2 - 4 - 2. Let f(q) = -q**3 - 4*q**2 + 23*q + 85. Let n be f(-4). Calculate g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 + 8*d + 13. Let y(u) = -2*u**2 - 2*u - 3. Let i(v) = 2*p(v) + 9*y(v). Suppose -6*n - 4 = -2*n. Determine i(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 101*t**6\/8 - 37*t**5\/60 + t**4\/12 + 5*t**3\/6 + 5061*t**2. Find the third derivative of c(p) wrt p.\nAnswer: 9090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 3:56 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8 * 75.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607 - 321 = -32*n. Let g = 0.23 + -5.23. What is the nearest to -2\/3 in -2, n, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/3 - 296*k**2\/3 + 5168*k\/3 + 11552\/3.\nAnswer: 4*(k - 38)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.677 times -0.168\nAnswer: 0.113736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 11. Calculate the smallest common multiple of h(-2) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 898 and 51019421.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (40402\/(-6))\/((-5)\/(-180)). Suppose 5*s + 3*c + 2252045 = 0, 4*s + 1246116 = -c - 555527. Let m = v - s. Round m to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 10) to base 16\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:33 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 9438289.\nAnswer: -3\/9438289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*v + 57*v + 56*v + 54*v + 57*v + 54*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n. Let m(a) = 137*a + 1. What is m(w(u))?\nAnswer: 274*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -689477 rounded to the nearest 1000?\nAnswer: -689000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 39*i**2 + 5.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1242990629*r**3 + 835650258 with respect to r.\nAnswer: 3728971887*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -75, -14 in ascending order.\nAnswer: -75, -20, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 24 = -4. Differentiate -4 + 3*d**4 + 10*d**3 - y*d**3 wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 1 - z + z**2 + 2. Suppose 0 = -5*y - 95 - 45. Let x be -5*(y\/10 - -2). What is d(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552304466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.0888 + 5.24468437\nAnswer: 4.15588437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*b - 67 = 14, 5*s = -4*b + 132. Calculate the remainder when 95 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-14))\/(3*9\/54)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:24 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.157 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 11*x - x + 56 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 2*s**4 - s**3\/3 - s - 1. What is the remainder when v(2) is divided by 2*5*9\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -5.4?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12014.\nAnswer: 2, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 4, -1, -4 in decreasing order.\nAnswer: 4, 1, -0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/19 + 63374*p**2\/19 - 24612112*p\/19 + 2404457440\/19.\nAnswer: -2*(p - 31295)*(p - 196)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22559 times -0.5\nAnswer: 11279.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 33\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/3 + 185*n**4 + 2813*n**3\/3 - 2429*n**2 + 3920*n\/3 = 0. What is n?\nAnswer: -7, 0, 1, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let l be (-3)\/15 - (-2)\/10. Suppose 0*y - y - 4 = l. Sort z, 3, y in decreasing order.\nAnswer: 3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p + 1 = 0. Suppose 2 = 3*o - o. Let z be o\/(11\/2) + 0. Which is the smallest value? (a) 0.3 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05269 - 7.35269. Which is the nearest to 2? (a) 4 (b) z (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 0*i**2 + 0*i + 0*i**6 + 124\/3*i**3 + 0*i**4 - 2*i**5 + 46 - 1\/7*i**7. Find the third derivative of h(o) wrt o.\nAnswer: -120*o**3 - 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7797, -7860, -7961, -8100, -8277, -8492, -8745?\n\"Answer: -19*r**2 - 6*r - 7772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 52*v**2 - 2*v. Let s(j) = -2691*j + 5332*j - 2643*j. Calculate u(s(d)).\nAnswer: 208*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 77457*q**3 + 3*q + 77388*q**3 - 5 to v*q**2 + l*q**3 + h + o*q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8193, 8483, 8773, 9063, 9353, 9643?\n\"Answer: 290*n + 7903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -0.3104?\nAnswer: -2.4832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-2) - 3) + -3. Let s be h + -1 + (-3 - -24). Solve 4*i + 15 - 3 = 0, l = 5*i + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - 1) - (77 + 2 - (-210 - -234))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5629539 divided by 5.\nAnswer: -5629539\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9012 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Let k(c) = c**3 - 3*c**2 + 4. Let t be k(o). What is the highest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -351\/10. Calculate the common denominator of d and (-255)\/(-110) - 2\/4*6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**3*k*o - 16*a**3*o**2 - 2*a**2*k*o**2 - 6*a**2*k*o + 4*k*o**2 wrt a.\nAnswer: 18*k*o - 96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 2374443067?\nAnswer: 2374443064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n**2 + 70*n + 10. Determine t(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = -4. Let l(w) = -3*w + 2. Let v be l(-1). Suppose 3*h - 40 = -v*g, -28 = -5*h - 2*g + 7. Solve -4*k + h*k + 2*j + 1 = 0, 3*k = -4*j - n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 50. Let t = q - 19. Calculate the remainder when 15 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 - 36870*y - 27222867 = 0. What is y?\nAnswer: -11501, -789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/8 + 291\/88. Let t = -101 - -504\/5. What is the smallest value in q, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 20*m = 7*m + 10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98 or -800?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 11*g**2 - 10*g + 14. Let p be a(9). Suppose -90*m + 52 = -p*m. What is the remainder when 152 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5 + 129*l**4 - 1704*l**3 - 64956*l**2 + 828576*l - 762048 = 0.\nAnswer: -36, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*b + 2*y - 548, -3*y + 1449 = 7*b. What is the greatest common factor of b and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/4)\/(3\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -274135 times -0.05?\nAnswer: 13706.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7817*a**3 - 311*a + 40321346?\nAnswer: 23451*a**2 - 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 51*f\/2 + 49.\nAnswer: (f + 2)*(f + 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7717302\/17 or 453958?\nAnswer: 7717302\/17","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2069, -4091, -6097, -8075, -10013?\nAnswer: -11899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 5. Suppose -5*a = -k*a. Find m, given that a*m - 3*m**4 - 5*m**2 - 2*m**3 - m**3 + 8*m**2 + 3*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50109 and 21?\nAnswer: 350763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 39. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3136, 3128, 3122, 3118?\nAnswer: 3116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -71, 3, 3\/4, 1\/3, -0.12, 7, -4?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/73776 and -181\/383670?\nAnswer: 162676080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 293446866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13732004 (base 8) in base 2?\nAnswer: -1011111011010000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*n - 52 = -215*n - 2172 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*w**2 - 3 - 2*w**2 - 5*w**2)*(1 - 1 + 1) + w**2 - 3*w + 3*w in the form a*w**2 + x*w + y and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 - -223. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*t - 4. Let j be ((-1)\/(-6))\/(t\/2). Let n = 0.2 - 0.1. Sort 4, j, n in descending order.\nAnswer: 4, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.1, 0.04, 0.9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -834677\/2 less than or equal to -417339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2, 14, 9865, -5 in increasing order.\nAnswer: -31, -5, -2, 14, 9865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1100)*4 - (1*sqrt(132)*1)\/sqrt(12))**2 + -1.\nAnswer: 234*sqrt(11) + 16739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 19*f**2 - 1. Give p(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-147)\/28 + 6 - 26168\/416. Is i less than or equal to -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109913 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1056 by -2.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-174)\/899)\/((-150)\/15)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0) + (-3154)\/34. Let x = y - -14822\/153. Let n = 2\/457 + 26957\/1371. Find the common denominator of n and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = 5*i. Let q(p) = p**3 + 6*p**2 + p. What is the tens digit of q(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3815?\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -27. Let l = 1.559 + 1.441. Is l greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 15. Suppose -5*q + o = 0, 239 = 4*t - 3*t + 4*q. Let i = -147 + t. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(1*-1*sqrt(99) + sqrt(99)))\/(-5*2*sqrt(441)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438 = -11*p + 453. Suppose -s - 126 = -4*s. What is the remainder when p is divided by s*-2*3\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -178*c*p - p + 1 wrt c?\nAnswer: -178*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 120 = k. Calculate the remainder when 89 is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1185 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - d - 6)*(-3*d**2 - 3*d + 3*d).\nAnswer: 3*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*f + 3*f. Let h = -3 + f. Let w = h - -6. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 295 - 206. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*s**2 + 20*s**3 - s**3 - 6*s**3 wrt s.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-763)\/(-28)*4 - -7. Find the second derivative of -30*d + y + 45*d - d**4 - 120 - d**2 wrt d.\nAnswer: -12*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181623 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 102782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3836 - 3836. Suppose -3*b - 6 + 3 = 0. What is the closest to a in 5\/4, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 47511.0001 and 0.5.\nAnswer: 47511.5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40459390?\nAnswer: 2, 5, 449, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) + -6*sqrt(144)) + sqrt(63)\/(sqrt(900) + 3*sqrt(900)).\nAnswer: -17*sqrt(7)\/920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-62))\/((3\/13)\/(54\/(-351)))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/56 - 128\/28. Let i(a) = 2*a**5 - 7*a**4 + 38*a**3 - 11*a**2. Let w(z) = z**5 - 2*z**4 + 13*z**3 - 4*z**2. Let q(n) = t*i(n) + 11*w(n). Factor q(x).\nAnswer: 3*x**3*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212.86953 - -0.25953. Let g = k + 212. Is g bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 621, 5, 3 in increasing order.\nAnswer: -3, 3, 5, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let v = 12 - a. What is the remainder when 2\/8 - (-105)\/v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892752953.\nAnswer: 892752953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 206 + -206.2. Let s = -1 + 1.2. Which is the closest to s? (a) 1\/7 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4539*p + 33674 wrt p.\nAnswer: 4539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 9. Let y(j) = -9*j + 201. Calculate -6*u(l) - y(l).\nAnswer: -3*l - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6979, 6979, 6977, 6973, 6967, 6959?\nAnswer: 6949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 = 11. Solve u*a + 6 = 8*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 17*l**2 + 17*l - 22. Let u be w(-18). Let b be u + 6 + 1\/((-1)\/(-1433)). Suppose 5*x - b = -4*z, 5*x - 3*z = 2*x + 888. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -194, -633, -1486, -2891, -4986?\n\"Answer: -23*q**3 - 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108353 is divided by 1725.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c + 940 + 2795. Let w = -90 - c. What are the prime factors of w?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 + 116. Let y = 27 + u. Suppose -3*a = y*a - 7270. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 4*b - 8. Suppose 0 = 11*j - 7*j + 360. Let u = b - j. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28510*c**2 - 5*c + 1488.\nAnswer: 57020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*p - 8*p + 118*p.\nAnswer: 369*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2736) + 0 + 1.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003843 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -628\/7 - -90. Sort 1.5, j, -0.3 in ascending order.\nAnswer: -0.3, j, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**5 - 8270*l**4 - 3382640*l**3 + 33743190*l**2 + 2538534645*l - 2568886920 = 0.\nAnswer: -831, -24, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 10:01 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -48. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 8:21 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28781, 57561, 86341, 115121?\n\"Answer: 28780*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - (-6)\/(-6))*(-2)\/((-8)\/454). Are -1134 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24610)\/210)\/23 - -5 - 19\/(29925\/13080)?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeepseebepeb. What is prob of sequence bb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -15268 + 5284. Is 48 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.27, 0, -0.5, -356478?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k - 4. List the prime factors of y(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -59829*u**2\/5 + 3692*u\/5 - 4\/5 = 0?\nAnswer: 2\/1813, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30822\/(-462) - -67) + 47\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9039911 rounded to three dps?\nAnswer: 0.904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8718 + 174417\/20. What is the common denominator of c and 26\/6*45\/(-110)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7910 is divided by 1814?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 110 = 5*p. Let t(n) = -39*n**3 - 8*n**2 - 11*n. Let a(r) = 26*r**3 + 5*r**2 + 7*r. What is p*t(z) + 8*a(z)?\nAnswer: 13*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -815 (base 14) to base 7\nAnswer: -4425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -2, 370, -4 in ascending order.\nAnswer: -4, -2, -0.6, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 8*o - 4*u = 26, 9*u + 35 = 4*o - 3*u + 7 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let j(p) = 518051565*p. Calculate j(d(g)).\nAnswer: 1036103130*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = c, -2*c + m + 10 = -3*m. Does 3 divide (-10)\/(-6) + -1 - 40\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 15*k**2 + 13*k**2 - 3)*(18*k**2 + 16*k**2 - 20*k**2).\nAnswer: -28*k**4 - 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 21*r - 66. Suppose r*l + 18 = -3*h, 7*l - 3*l + 20 = 0. Let k = -1606 + 175056\/109. Is k bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 311, 1025, 2409, 4685, 8075, 12801?\n\"Answer: 37*x**3 + 2*x**2 + x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 + 8*w + 1. Let n(f) = 41*f**2 - 25*f + 2. Calculate -n(a) + 4*t(a).\nAnswer: -29*a**2 + 57*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 148.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/2))**(-28))**(-15\/2) assuming f is positive.\nAnswer: f**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*d - 650*d = 576*d - 68470 for d.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y - 30. Let g(l) = 30*l - 10. Let j be g(2). Suppose 21*c = 26*c - j. What is the lowest common multiple of a(c) and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419741099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29)\/((-2)\/(-8)*-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-139523070.\nAnswer: 418569210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 3*p + 6. Let u(w) = -10*w**2 - 10*w - 19. What is 7*a(n) + 2*u(n)?\nAnswer: n**2 + n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27046 is divided by 93?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2 + 6*c + c - 3*c - 8. Let l(m) = -m + 1. Let v(z) = -l(z) + u(z). Let a(o) = -6 + 2 + 0 + 3*o. Determine 7*a(s) - 4*v(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 65. Factor -12*p + 0 + 8*p**2 - 4\/3*p**x.\nAnswer: -4*p*(p - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14574 and 9716?\nAnswer: 29148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265576?\nAnswer: 2, 89, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + 2*sqrt(75)*-5))\/((-2*sqrt(20) - sqrt(20))\/sqrt(4)))\/((4*-2*sqrt(45))\/(sqrt(9)*-1*5 + sqrt(9))).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 764890, 1529774, 2294658, 3059542, 3824426, 4589310?\nAnswer: 5354194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 35*d**2 - 24*d**3 + 7*d**2 - 2*d + 28*d**2.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 100. Suppose 0 = 2*r + 4*x - o, 2*x = -x + 12. Factor -2*j + 9*j**2 - 2*j**2 - j**4 + 2*j**3 - 6*j**r.\nAnswer: -j*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**4 - q**3 - q**2 + q + 1. Let v(b) = 43*b**4 + 6*b**3 + 6*b**2 - 6*b + 64. Let i(o) = -6*n(o) - v(o). Differentiate i(a) wrt a.\nAnswer: -148*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1101111?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 7. Let p be w(5). Let m be p\/3 + 4\/(-2). Let a be 4\/8*(-1 - m). Solve a*v = -3*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 13*i**2 + 14*i - 6. What is j(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7524*g + 280. Let y(f) = -1075*f - 41. Determine -6*q(v) - 41*y(v).\nAnswer: -1069*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2490 = 5*z, -4*q - 1 = 7. Let i = z - -520. Solve 0*h - 20 = 3*u + 5*h, -5*u - i = 5*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/36 + 87\/27. Suppose 2*m - m + 2 = 0. Let l be m\/(-2) - 6\/(-2). Solve -g*r + 5 = -l*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -155 (b) 0.04 (c) -1\/3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*y = 591 + 147 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122 by 2.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)\/r*r*r**(-1\/9)\/r)\/((r*r**(2\/9))\/r*(r**(-2\/11)*r)\/r)*(r**(1\/12)\/r**(2\/13))**48 assuming r is positive.\nAnswer: r**(-1946\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157285983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:17 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(7\/5)\/t*t*t**8*(t\/(t\/t**(-2\/33)))\/t**5 assuming t is positive.\nAnswer: t**(881\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 36 = -5*k, 4*k + 3*b - 2*b = -28. Let t = 19 - k. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2 (c) 1 (d) -0.2 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 18. Let m(l) = 62*l - 1. Let j be m(-1). Let x be 4\/6 - (-6)\/j. Sort 0, n, x in decreasing order.\nAnswer: n, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 14*l - 10*l. What is the tens digit of (-11)\/((-1 - l)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 - 2 - (27 - (80 - 31))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020 - 29*n - 1020.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -131670 divided by 6\nAnswer: -21945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**44\/(m*m**1)**(7\/5))**(-3\/16) assuming m is positive.\nAnswer: m**(-89\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2. Let q(n) = 62*n - 51*n + 61*n. Determine c(q(x)).\nAnswer: 5184*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 43*w + 308. Determine f(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -199 and -0.01?\nAnswer: 198.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 13.\nAnswer: 16.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfq when three letters picked without replacement from qfnqqzfnqz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130229967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 49439*a + 40 = -49438*a, 3*z - a + 124 = 0 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/5, 0.2, 8.1, -4 in increasing order.\nAnswer: -4, 0.1, 0.2, 2\/5, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 + 5.62. Let c = 1.62 - v. Let h = 3 + 0. What is the second smallest value in -0.2, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**2 + 1181*r - 32676. What is w(27)?\nAnswer: -4434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 + 2*k - 1. Let j(d) = d**3 - 1. Suppose 2*l + 26*g = 30*g + 12, -5*g - 10 = 0. Give l*j(r) - m(r).\nAnswer: -2*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 p when three letters picked without replacement from {p: 1, t: 1, u: 2, b: 4, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from vvwwvvwvwvwwvw?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 4844. Let m = y - 3664\/3. Calculate the common denominator of m and -1\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 6*b**2 - 6*b + 5. Let x be g(-7). Suppose x = k + 59. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*g + 10, 25 = 4*d + 5*g - 20. Solve 4*s - d = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*a - 25, -2*a - 4*x + 6 + 8 = 0. Suppose -a*t - 3 = -4*r + 20, -4*r = -3*t - 33. Put -0.4, 3, r, -1 in descending order.\nAnswer: r, 3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 224018988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*u**3 - 92*u**3 - 93*u**3 + 274*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 19018464.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -118, -1.3, 0.1.\nAnswer: -118, -3, -1.3, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3717 from -13.8076182275.\nAnswer: -13.4359182275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (13 - -1)) + (1 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9*h + 69 = -5*l, -2*h + 27 = 5*l. Suppose -5*w = -4*k + 178, k = 3*k + 2*w - 98. What is the remainder when k is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6 + -2 + 11154\/(-117))\/2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b2 + -106?\nAnswer: 8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 8:26 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 2*p. Let t = 10 - p. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 100?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 2*c + 7\/10*c**5 - 1\/3*c**6 - 1\/3*c**4 + 0 + 0*c**3 + 0*c**2. Factor g(s).\nAnswer: -2*s**2*(s - 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1732*u + 458. List the prime factors of p(-4).\nAnswer: 2, 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/15 + s**3\/6 + 13*s**2\/2 - 4*s. Let c(h) be the first derivative of u(h). Let z(o) = o**2 + 1. Give c(y) - z(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 21 = -2*z. Let c(i) = i**3 - 4*i**2 - 7*i + 1. Let j be c(5). Let b = z + j. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-38)\/57)\/(1\/(-6)). Suppose 5*c + l*v = 74, -6*c + 3*v + 67 = -c. Solve 0 = -3*r + 8*r - 3*y + c, -5*r - 2*y - 24 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4\/6 + 34211*y**3\/2 - 585179154*y**2 + 6672212611272*y + 20021904908064 = 0.\nAnswer: -3, 34212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 2*c + 0*c)*(4 - 2 - 3) - 2*c + 3*c - 3*c + (3*c + 3*c - 2*c)*(-58 - 82 - 13) to n*c + w and give n.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116b (base 14) to base 6.\nAnswer: -22015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*y + y + 3*y)*(1 - 1 - 1) - 1 + 2*y + 1 + 3 - 6*y - 3)*(-y**2 - 5*y**4 + 2*y**4 + 5*y**2).\nAnswer: 6*y**5 - 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 9*o + 5. Let f be x(9). Suppose 2*v - 17 = -f. Let y(h) = h - v*h + 9*h. Give y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/33 - (-4384)\/(-88). Let l be 0 - (2 + 0 + n). Suppose -5*o + 0*o + 15 = 0, -2*o - 42 = -4*p. Calculate the greatest common factor of l and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:30 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 19, 16, 11, 4, -5, -16?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -2 (c) -7820379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 2. Let z(w) = 13*w - 4. Determine -3*f(k) - z(k).\nAnswer: -16*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -946, 29772, 80968, 152642, 244794, 357424?\nAnswer: 490532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.99 times -0.048?\nAnswer: -1.10352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 10:08 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33.6 + -28. Let y = b + -3.7. Let g = y + -2.016. What is g rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (-1 + sqrt(98)))*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*q**4 - 3731*q**2 + 35592 wrt q?\nAnswer: 36*q**3 - 7462*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:46 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 15. Solve 3*a + 2*i = 11, 0 = 5*a + i - q*i - 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9090489?\nAnswer: 3, 3030163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -40*d**2 + 1632*d + 6. Let h(c) = -113*c**2 + 4897*c + 17. What is -6*h(q) + 17*t(q)?\nAnswer: -2*q**2 - 1638*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m. Suppose 3 = s - 1. Suppose -4*z + 51 - 1 = w, -s*z + 5*w + 38 = 0. Let i(d) = 4*d + 6*d - z*d. What is y(i(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - t + 6, 4*t + 18 - 2 = 0. Suppose -o = s*n - 3, -3 + 2 = -4*n - 3*o. Suppose -n*p + p = 0. Which is greater: p or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - y**3 + y**3)*(-9*y**2 - y**2 + 24*y**2)*(10 - 7 - 25).\nAnswer: -308*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -1.104. Let f = -0.014 - k. What is f rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(-1\/3)*g))\/g)\/(g*g*(g\/g**(-3))\/g))\/((g\/g**(-1\/2))\/g**(4\/11)) assuming g is positive.\nAnswer: g**(-383\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53130?\nAnswer: 2, 3, 5, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*p*y**3 - 55*p*y**2 + 462*p wrt y.\nAnswer: 12*p*y**2 - 110*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4571102042?\nAnswer: 2, 13, 19, 9253243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/5 (b) -28.03 (c) -5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50314.43 rounded to the nearest 100?\nAnswer: -50300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.6, 1\/4, -2\/7, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-30)\/(-2)*(-356)\/1780*10\/3.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -678173, -1356303, -2034433, -2712563, -3390693?\n\"Answer: -678130*o - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/17)\/((-1)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -0.37 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*f, 5*u - f - 32 = -0*f. Put 3, 0, u in descending order.\nAnswer: u, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -278558126 divided by 45353\nAnswer: -6142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 12. Let j = -27 - -23. Let y be p(j). Solve 4*f - 3*w - 7 = 2*w, -y*f + 3*w = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**4 + 10729430*o**3 - 53647035*o**2 + 21458770*o + 85835240 = 0.\nAnswer: -1, 2, 4, 2145881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {k: 5, x: 4, g: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 140\/(-114) - (-58)\/(-551). What is the biggest value in -5.3, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(32 - -3)\/(-5). Suppose 0 = 2*w - s - 5. Solve -w*i = -i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.07, 815, 0.1, -3.23, 4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 4*a**2 - 3*a - 3. Let u(x) = -x**3 - x**2 + 2. Suppose z = -2*z, v - z + 2 = 0. Let w be u(v). Suppose -25 = -w*i + i. Determine t(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, x: 1, l: 5, z: 1}. Give prob of sequence uz.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23664 divided by -3?\nAnswer: -7888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 8:16 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*t - l, -2*t + 104 = -3*l - l. Let n = -36 + t. Calculate the least common multiple of 28 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/1755 and -106\/249795.\nAnswer: 749385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 - (10 + (3 - (-8 - -4)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 0)\/((-3)\/(-2)). Suppose 2*v = 3*k - 6*k + 38, -d*v + 30 = -k. Find j such that 14*j**2 - v*j**2 - 21*j**3 + 3*j**4 + 8*j**2 + 3*j + 9*j**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39994 and 239964.\nAnswer: 239964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 10, -5*o = -3*i - 76. Let y = i + 488. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2825? (a) 0.5 (b) 36\/7 (c) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + 71 + -90 - 11.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 339*r - 1183*r - 478*r.\nAnswer: -1322*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478*p - 2087 + 175 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 470132 to the power of 1\/2, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.1 - -11. Let c = 0.083 + -0.098. Let f = c - 0.085. What is the nearest to f in -0.03, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3027364 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 - d**4\/4 - 5*d**3\/6 - 26*d**2. Calculate i(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j - 136 = 3*x, 0 = x - 2*j + 52. Let b = x - -131\/3. What is the nearest to -1\/3 in 2\/7, -3\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 24*g - 17. What is r(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/32, 5, -1\/51, 0?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*x + 5*x + 18, 20 = -5*x. Suppose 0 = o*f - 18 - 6. What is the remainder when 8\/f + (-242)\/(-6) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 l when three letters picked without replacement from lxllxlx.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -4*n - 3, n + 9 = 3*x. Suppose x*u - i + 67 - 191 = 0, 40 = u + i. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -12. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - -257. What are the prime factors of s?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2986?\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1315 - 1315.43. Which is the third smallest value? (a) q (b) -3\/5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49882*k**3 + 2*k + 0*k + 80*k**2 + 49881*k**3 to the form v + f*k**3 + u*k**2 + d*k and give u.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*n + 26 = 5*y - 225*n, -15 = 5*n for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j - j)*(-3 + 2*j + 3) + 0*j**2 + 2*j**2 - 3*j**2 + (3*j - 5*j - j)*(2*j + 4 - 4).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.07, 5, -3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-90)\/(-85) + (-6)\/(1 + 5))*-6. What is the second smallest value in -0.4, -52, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 110. Sort 5, g, 0, 15.\nAnswer: g, 0, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**3 - 16*w**2 - 16*w - 14. Let h(s) = -5*s**3 + 15*s**2 + 15*s + 13. Let q(c) = -5*h(c) - 4*k(c). Let x be 9 + 8 - (10\/(-1))\/(-2). What is q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -4, 4\/27, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-64)\/24*18 - -4. Which is smaller: 573\/11 or n?\nAnswer: 573\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21718296 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -24. Solve r*n - 5 = 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j - 3 + 1 - 11*j.\nAnswer: -33*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012969046 rounded to 6 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, m: 1, j: 1, g: 1}. What is prob of sequence gj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/10*(-710)\/(-284)*(-1)\/(-2).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-223)\/1050 + 4\/14. Let v = x - 6\/25. Let m = -606\/745 + 2\/149. What is the nearest to 1 in m, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000445121 to 7 dps.\nAnswer: 0.0004451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -31*v + 44. Let p be k(-20). Suppose -2*t - 6*t = -p. Solve 96*n**2 - 1 - 85*n + t - 32*n**3 - 18 + 4*n**4 - 43*n = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 451841420 by 5.\nAnswer: 90368284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130 a factor of 81125310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(48\/(-128)). Let q be (p\/(-3))\/1 - 168\/(-126). Factor -4*y + q - 1\/3*y**3 + 2*y**2.\nAnswer: -(y - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(27) - sqrt(20))**2 - (sqrt(1280) - sqrt(1280)*3 - sqrt(1280)).\nAnswer: 80\/9 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.79094847 rounded to 3 decimal places?\nAnswer: -34.791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46368\/(-98))\/(-18)*(-147)\/84.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -524 - -520.51. Round u to 1 dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16097 + 3.16097. Which is the closest to 0? (a) 2\/3 (b) -0.3 (c) l (d) -1\/130\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183865537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1907 times 0.93\nAnswer: 1773.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 169\/4 (b) -2\/9 (c) 42 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25558 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 40. Let l = h - -0.5. Which is the third biggest value? (a) l (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 14*r**2 - 35*r - 15. Let v be j(-11). Solve 4*s = -3*s + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9*c + 4*c = -34424, 3*b - 34429 = -4*c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 10908224*d - 29747337708544.\nAnswer: -(d - 5454112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 - 120*a - 30. Let m be u(33). Let y be ((-18)\/168)\/(-1 - (-357)\/m). Is 5 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v = 168*v - 816 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - d)*(-2 - 3*d - 9*d + d).\nAnswer: -11*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10179504362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-31332)\/1848 + 1\/(-22)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412308 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101020 - -10111?\nAnswer: 111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 57.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -18*a + 119. Let f be d(22). Let v = -264 - f. Calculate the common denominator of v and 3\/182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4230 and 188.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -531\/15740 or -1?\nAnswer: -531\/15740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -49*z**3 - 247*z**2 - 31*z - 131. Calculate a(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190679 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-133)\/(-56)) + (-33)\/(-88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4)*(2*l + l**4 - 2*l) + 2*l**4 + l**4 - 2*l**4 - 3*l**4 + 4*l**4 - 2*l**4 + (-l**2 + l**2 - 2*l**2)*(5*l**2 - 6*l**2 + 0 + 2).\nAnswer: 3*l**4 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, -5, 48 in descending order.\nAnswer: 48, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-15) - (-6)\/9. Let u = 480\/7 + -435\/7. Find the common denominator of u and (-294)\/48 - o\/(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**4\/54 - 11*b**3\/27 - 10*b**2\/3 + 671*b. Let k(a) = 0. Calculate a.\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121\/548 - -4\/137. What is the nearest to -2 in v, 4, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 0, 2*q + 3*i = 2*i + 62. Sort 0.3, q, -0.5, -2\/11 in decreasing order.\nAnswer: q, 0.3, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v. Let f be 2\/(2 + 0)*3. Let p(k) = -5 + f + 3 - 5*k - k. Let w(h) = -6*p(h) - 5*z(h). Let a(s) = s - 5. Give 6*a(r) - 5*w(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 223269*x + 4911941. Calculate o(-22).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - (-1 - 0)) - (-194 - -196)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 4508337792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -9*k**3 - 57*k**2 - 99*k - 27 = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - 9 - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12067876 is divided by 440?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2 = -2*u - 69, -3*z - 2*u + 59 = 0. Differentiate d**3 + z + 0*d**3 - 36 + 22 with respect to d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27384 + 13464. Round u to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45847000 to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 157*o**3 + 5*o**2 + 5*o - 5. Let x(p) = 392*p**3 + 12*p**2 + 12*p - 12. Calculate -5*x(l) + 12*y(l).\nAnswer: -76*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 5 - 5 + (0*g - 2*g + 4*g)*(2 + 4 - 4) - 88 - 12*g + 2*g + 11*g to the form z*g + l and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 2. Let s(j) = j**2 - 2. Let v be s(-2). Calculate the lowest common multiple of ((-28)\/35)\/(v\/(-5)) and u(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 - 129*h**3 + 14940*h**2 - 346800*h + 2472000 = 0. Calculate h.\nAnswer: -103, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-16)*(-8)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30011 (base 4) in base 11?\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -29230.083.\nAnswer: 29233.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2730*a**2 - 1 + 9*a + 1 - 8*a.\nAnswer: -2730*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 7. Let u be j(-7). Suppose -5*n + 2*n = u. Suppose n = c + 3*c. Solve 3*v - 3 = -c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8424\/432)\/(63\/315*(-30)\/(-8))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o, -o + 3 = 3*f - 0*o. Let y(r) = -f + 5*r**2 - 8*r - 3*r**2 - 3*r**2 - r. Let i be (42\/(-18))\/(3\/9). What is y(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*q**3 + 1\/10*q + 0 - 2\/5*q**2 + 1\/10*q**5 - 2\/5*q**4 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.002605264 and 3.\nAnswer: 2.997394736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1029c96a?\nAnswer: -1029c967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -239*z**5 - 2870*z**4 + 45147*z**3 + 378*z**2 = 0.\nAnswer: -21, -2\/239, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 4*t + 115. Is (16 + 1)\/1*(t + 8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) + (-259)\/(-14). Let i be 9\/l - 6\/(-4). Let a(b) = -3*b**2 - b + 4. Let k(t) = -2*t**2 - t + 3. Let x(c) = -4*a(c) + 5*k(c). Determine x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*n**3 - 2\/7*n**4 + 2\/7*n**2 + 0 + 4\/7*n.\nAnswer: -2*n*(n - 1)*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c5 - 4?\nAnswer: -2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108*-8.384.\nAnswer: -905.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 4:28 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6684, 13314, 19886, 26400, 32856?\nAnswer: 39254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -695 + 700. Solve 0 = -5*t - d*z, 0*z + 4*z = 3*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -5 - 5) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 128 = 5*y. Let c = 5 + y. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 6:16 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/6 - 87*h**2. Let j(z) = 18*z**2. What is m(j(b))?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.9 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1137, -2249, -3347, -4425, -5477, -6497, -7479, -8417?\nAnswer: -9305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1335 divide 15582719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -7 - (8 - 4). Let m be ((-124)\/6)\/(13\/(702\/s)). Suppose 72*y - 73*y = -m. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 345 = -5*x, x - 200 = -2*i + 17. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*m = -b - 30, -3*m + 48 = 4*b. What is the remainder when 10\/(1*2\/4) is divided by (7 - 3) + (b - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2. Let d(g) = -10*g**2 - 4. Determine -2*d(c) + 18*y(c).\nAnswer: 2*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -316 + 195. Let h = 106 + n. Let i be (-5)\/4 - 3\/(-12). Which is greater: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -15*r**3 + 10*r**2 - 32*r + 72. List the prime factors of x(-9).\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -304?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23068?\nAnswer: 2, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106480 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -148 + r - 142 + 288 + 3*r**2. Let m(y) = 1 + y - 5 + 3 + y**2. Give -2*d(i) + 2*m(i).\nAnswer: -4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229469197?\nAnswer: 10937, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802674 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.15 and -655939829.\nAnswer: -655939829.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -10*i. Suppose i = y + 4*y - 145. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (-1 + -13 + (4 - -118)) - 13.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4891 + 117*j + 4891 + (j - 2*j + 3*j)*(-5 + 20 + 17) to the form d + p*j and give p.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/5 - 156544784*v\/5 + 31308956.\nAnswer: 4*(v - 39136195)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 7*p + 6. Let a be o(3). Suppose 8 = a*s + 8. Which is bigger: s or 2\/209?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1985, 4022, 6059?\nAnswer: 8096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/120 + g**5\/60 - g**4\/24 - 60*g**3 - g**2. Let n be u(0). Round n to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 30. Suppose 5*q - 3*d = 535, 79 = q + o*d - d. Suppose -3*u - q = -2861. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -302, -401, -582, -869?\nAnswer: -1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*n + 5*n. Suppose 0 = 2*u - n - 142. Suppose -u = -5*t + 11. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29004 is divided by 145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 - 313*t**2 + 237*t + 5. Calculate u(-79).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 64 + 208 - 59. Let c(g) = g**3 - g**2 - g + 34. Let p be c(0). What is the greatest common factor of m and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(2*(1 + sqrt(891)) + (sqrt(891) - (sqrt(891) + -1 + sqrt(891))*-5) + -3 - (sqrt(891)*-3 + -3 - (1*sqrt(891) + -1))))**2.\nAnswer: -4896*sqrt(11) + 1030060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x**3 - 7*x**2 - 9*x**3 + 26*x - 6 - 18*x. Determine a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 equal to 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-215)\/6 - (-39825)\/1593)*6?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1132\/9 - -126. What is the nearest to 1 in z, 4\/7, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 632*c**2 - 3058*c - 569. What is the first derivative of f(p) wrt p?\nAnswer: 1264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -1819*p + 1803*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 15) to base 7\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 14. Let c(l) = -l + 23. What is the least common multiple of c(15) and (20\/(-7))\/(6\/t)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37802 divided by 2003?\nAnswer: -37802\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20884, -20876, -20864, -20848, -20828, -20804?\n\"Answer: 2*p**2 + 2*p - 20888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*d = 89*d - 272. Let v = 2 - 91. Let z = d - v. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18613 = -w - z, 155*z - 156*z = 3*w - 55847. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4\/7, -1\/18, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29992*c**5 - 82*c**2 + 137 wrt c.\nAnswer: 1799520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 16*y + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r**2. Let a(x) = -16*x - 12. Let c(u) = -2*u - 2. Let v(n) = a(n) - 6*c(n). Determine v(b(z)).\nAnswer: 52*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**3 - 2*p**2 - p - 1. Let o(z) = 35*z**3 - 11*z**2 + 4*z + 4. Calculate -4*c(r) - o(r).\nAnswer: -55*r**3 + 19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.63 in 4\/3, 151, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose -91 = -3*r - s*q, -2*q = 4*r + q - 121. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1474734, 2949465, 4424196, 5898927, 7373658?\nAnswer: 8848389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(3)*2 + 3*sqrt(24)\/sqrt(8))**2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 6*u - 2. Suppose 4*g + 4*i = 36, -2*g + 6 = -3*g + 2*i. What is d(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*d**3*l + d**3 + 33*d*l*u**2 + 200*d*u**2 with respect to l.\nAnswer: -36*d**3 + 33*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/7)\/c**(7\/4))**(18\/7) assuming c is positive.\nAnswer: c**(-621\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 5*v + 2. Let q be r(5). Suppose 6*d - q*d = 0. Solve 0*k + k = d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 7. Determine g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.5 (c) 10 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -4*k - 8, -2*k + f - 9 = -5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -398, -471, -540, -605?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91435*n*x**4 - 347*n*x**2 - 38*x**4 - 36*x**2 - 148*x + 2 wrt x?\nAnswer: -2194440*n*x - 912*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -3 (c) -0.1 (d) 1575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/21 - (600\/(-14))\/(-3). Let q = 20 + b. Find the common denominator of ((-25)\/q + 3)\/(6\/(-3)) and -101\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 3*s**2 + 10*s**2 + (-s - s + s)*(3 - s - 3) - s + s + 2*s**2)*(-2*s + 3*s + s).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*r + 5725 + 6919 = 88*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -300.6 times 1\nAnswer: -300.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279102 is divided by 34761.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1867 at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**2*w**3 - 4337*q**2*w**2 + 15*q**2*w - 5011172*q*w**3 + 16*w wrt w.\nAnswer: 6*q**2 - 30067032*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -261541*m**4 - 3*m + 3*m + 261538*m**4 + 4*m**3 + 23*m**2 as a + i*m**3 + r*m**2 + t*m + g*m**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.138 + 0.832. Let f = j + 0.03. Let i = -6.9 + f. Are i and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/12 + d**3\/6 + 11*d. Find m, given that i(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2. Let i(l) = 2*l - 6. Let u be i(4). Suppose -b + 12 = u*b. Let w(q) = 222*q - 222*q - b*q**2. What is w(y(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyk when three letters picked without replacement from {y: 4, h: 1, k: 7, r: 2, v: 3, o: 1}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from qccccqc?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 16) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 139*u**2 + 569*u + 69. Determine j(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1530b92 (base 13) to base 11\nAnswer: -3905116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 1)\/(21\/2289). Let q = x + -14. Is 44 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 230?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11562 is divided by 11481.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, -20, 7, 5, -1 in descending order.\nAnswer: 7, 5, -1, -20, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4832*m - 95 = -4927*m. Let k = 5 - 2. Sort k, -15, m in ascending order.\nAnswer: -15, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99, 103, 117, 147, 199, 279, 393, 547?\n\"Answer: l**3 - l**2 + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1072 and 8\/8107?\nAnswer: 129712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(7 + 4 - 4)*(360*f - 191*f - 211*f) + (-3 - 2 + 3)*(2*f + 4*f - 3*f) + (5 - 5 + 1)*(0*f + 6*f - 4*f).\nAnswer: -298*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 722 - 680. Let t be (-2)\/4 + 788*(-7)\/(-56). What is the greatest common factor of m and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 18. Let h(a) be the first derivative of 0*a - 2\/27*a**3 + b*a**2 - 4\/45*a**5 - 1\/6*a**4 - 2. Let h(c) = 0. Calculate c.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383 greater than -12262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403996?\nAnswer: 2, 100999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8587*n + 6805*n - 2195*n in the form z + s*n and give s.\nAnswer: 13197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 times 0.04962?\nAnswer: -2.28252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288065721 is divided by 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -8, -13.\nAnswer: -13, -8, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11502497627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*x - 2*l = 501*x - 12, 3*x = 4*l - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44016903.\nAnswer: 3, 7, 41, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20693902, 41387805, 62081706, 82775605?\nAnswer: 103469502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156733 and 2350995.\nAnswer: 2350995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*t**3 + 15*t**3 - 7*t**3.\nAnswer: 115*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 65 + 65 = 0. Let z(x) be the first derivative of -13\/4*x**4 + 0*x**3 + 20 + 4*x**2 + j*x. Find the second derivative of z(y) wrt y.\nAnswer: -78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2. Let z(w) = -8*w. Let r(o) = -12*o. Let p(t) = -5*r(t) + 8*z(t). Calculate p(x(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 3. Suppose 0 = -3*v, 3*v = 3*b - 2*v. What is the lowest common multiple of 4 and a(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 2. Suppose 3*b - 3 = -l, 1 = 2*l + b - 5. Suppose -3 = 2*x + l. What is k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -3259956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:09 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x. Let t(j) = -j. Let q(d) = 3*r(d) - 5*t(d). Let b be q(-4). Let n be (-4)\/((2 - b)*1). Solve -n*s = -4 - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144488933?\nAnswer: 17, 29, 293081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.7. Let j = k + -0.2. Which is the third smallest value? (a) j (b) 1\/6 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grg when three letters picked without replacement from {g: 7, r: 9, h: 2, j: 1}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 5, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**3 + 5*a - 5. Let f(o) = -o**3 - o**2 - o + 1. Let r(k) = -5*f(k) - w(k). What is the third derivative of r(s) wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235836\/(-65510)*1*(-4)\/9.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 0*o**4 + 0*o**4 + (4 - 2 + 0)*(1 - 2*o**4 - 1).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*g**2*l*u**2 - 14*g**2*l*u - 654*g**2*u**2 - 2*u**2 wrt l.\nAnswer: 35*g**2*u**2 - 14*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16021?\nAnswer: 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10858*p + 3509*p + 236436 = -153061 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 177\/79601 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7623)*2 - sqrt(7623)) + sqrt(63))\/(sqrt(900)*2) - (sqrt(35)\/sqrt(5) + -4 - (-3*sqrt(7) + -5 + sqrt(7))).\nAnswer: -12*sqrt(7)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24212?\nAnswer: 2, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus -16066?\nAnswer: -16058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = 5*f - m, 0 = 3*f + 4*m - 4. Does 20 divide -4*(-6)\/f*-20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**2 + 4*i + 4. Let b(m) = 10 - 1 + 9*m + 13*m**2 + 0. Calculate -9*a(t) + 4*b(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d - 44*d + 28*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2725, 5438, 8145, 10846, 13541, 16230?\nAnswer: 18913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916003 at most as big as 1916003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 32*u = 4*k - 11, 4*u - 13 = k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((1 + (2 - 2) - -1) + 2406 + -2420).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47867 and 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 281656807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**23\/n*n\/(n**(-5)\/n))\/(n*n**2*n)**3 assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*s + 143*s + 145*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17529955021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + -4 + 4 - 16\/(-4). Put -3, 3, 1, n in ascending order.\nAnswer: -3, n, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 23*p**2 - 2*p - 55. Let g be j(-23). Let v = -6 - g. Suppose m + v*m = 60. Solve -4*k - k + m = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 9*x + 10. Let w be v(-8). Let y(p) = -3*p**2 - 7*p + 0*p**2 + 2*p**w. Let z be y(-3). Solve -3*m + z = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497254.\nAnswer: 2, 248627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1427*d**4 + 1601*d.\nAnswer: -17124*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(175) - (-3 + sqrt(21)\/sqrt(3)).\nAnswer: 3 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4335 and -1\/97257.\nAnswer: 8266845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6237878727\/44785 - -139285. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrgrbgbrgggrrrrbjgr. What is prob of picking 1 b and 2 g?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(sqrt(320) + -1 + sqrt(320) + sqrt(320) + sqrt(320)))**2 + sqrt(320).\nAnswer: -568*sqrt(5) + 46092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 522369, 522372, 522375?\n\"Answer: 3*p + 522366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23089, -23399, -23709, -24019, -24329?\nAnswer: -24639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from mhm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = 3*p - 20, -t - 3 = -4*p. Suppose 0 = -p*a - 3 + 33. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 + -1.63. Let m = 0.37 - s. Let v = -770 - -771. What is the nearest to v in 6, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d**2 - 2*d + 1. Let t be w(2). Let p = -229\/4 + t. Let u = -21.6 - -19.6. What is the closest to u in -4, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130725)\/3195 + -81 - -122.\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from ixxixiiixi?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/26*(-1096095)\/(-67452).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.19*0.2\nAnswer: -0.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 27. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 121 + 17)*(-34*m**2 + 6*m**2 - 25*m**2).\nAnswer: -4929*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34014917 to the power of 1\/2, to the nearest integer?\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 + c + 0*c + 4*c**2 + 0*c**3 - 6*c**2 + 1. Let q be s(1). Let z be q + ((-4)\/12 - -4). What is the second smallest value in 1, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - 1.3. Let p = 2.7 + i. Put p, -0.3, 0.4 in ascending order.\nAnswer: -0.3, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 * 0.07460621\nAnswer: -0.0268582356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245847 to the power of 1\/2, to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 4*w**2 - 2*w**2)*(44 - 6*w - 44).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = -3*j. Suppose -j*f - 5*p = -24, 2*f - 8 = -3*p + 4. Let w(c) = c**3 - 7*c**2 + 9*c - 8. What are the prime factors of w(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-2428)*(11 + (-2171)\/195). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(2\/9)\/a*a))\/(a\/a**7))**24*((a**(-2\/7)*a)**44)**39 assuming a is positive.\nAnswer: a**(28652\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrv when three letters picked without replacement from {j: 2, u: 5, h: 6, v: 1, a: 2, r: 1}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 8:15 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87805, 87844, 87897, 87958, 88021, 88080, 88129?\nAnswer: 88162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/239 - 2381\/2151. Find the common denominator of -10\/17 and x.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10695092 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 + 45*d**2 - 48*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/392 and -8\/343?\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from googooo. Give prob of picking 1 o and 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 714525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(684) - (-1 + sqrt(684) + sqrt(684)) - (4 + sqrt(57)\/sqrt(3)))**2 + 3*(sqrt(152)\/(sqrt(8)\/sqrt(2)))\/sqrt(2).\nAnswer: -4700 - 207*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 45 = 19*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13 = 3*j, -t - 53*j = -55*j + 11. Let y = -407 + 1038. Is y + (-1 - -1)*(-2 - t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 + 8*r + 2. Let y(z) = 5*z**2 - 7*z - 1. Let l(w) = -4*c(w) - 5*y(w). Let j be l(3). Is (99\/j)\/(2\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -19. Suppose -4*g = -3*g - v. Let t = 9 - g. Which is the biggest value? (a) t (b) -5\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 3303?\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6256237120559\/257100308916 - 735\/20028068. Let v be (-4)\/(-4) - 4277\/4279. Let q = v - g. Calculate the common denominator of q and -73\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 140 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 12. Let d = 12 + x. Suppose -d*b + 43 = -59. What is the highest common divisor of 34 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 w when three letters picked without replacement from wewewwe?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 3\/2, -1\/4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1482*m**2 + 2*m**4 - 4*m**3 + 743*m**2 + 749*m**2 + 22 to the form f + a*m**3 + c*m + x*m**2 + r*m**4 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 - 136. Let y = p + -35. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23472, 90206, 201430, 357144, 557348, 802042, 1091226?\n\"Answer: 22245*g**2 - g + 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 - 13*r - 7. Suppose 9*q = 4*q + 115. Suppose 2*n + 9 = q. Let i(h) = 2*h**2 + 9*h + 5. Calculate n*i(v) + 5*f(v).\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 6. Let l be (0\/1)\/(5 + -2). Let x = l + 5. Let y be x - (0\/(-1) - -1). Give m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177527448 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + -126 + 121 + -14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 162160 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 39 = 13*v. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 4, -3, 176951, 7, 3 in decreasing order.\nAnswer: 176951, 7, 5, 4, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 1 - 27*x**2 + 32*x**2 - 3*x**3 - 6*x + x**4 in the form q*x**2 + y*x**3 + v*x + z + r*x**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1968150 divided by -656050.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 10. Suppose -13 = -5*d + o. Solve 15 = d*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/468*30*(-12)\/(-5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Solve 2 = -o - n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -109.\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 8115 = 14523. Let c = -2752 - -1765. Let h = c - a. What is h rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 7898547?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1542791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - 1. Let z be (32\/o)\/(4\/(-6)). Suppose -z*b = b - 50. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b**6 + 14513069*b**3 - b**2 - 171622700 wrt b?\nAnswer: -1320*b**3 + 87078414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*o - 17*o - 3 - 13*o to r*o + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -15. Put -1, f, 2 in ascending order.\nAnswer: -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -1269596.\nAnswer: 50783.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -5, 1\/2, -2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q**3 + 2*q**2 + 3*q - 124. Let j(i) = -2*i**3 + i**2 + i. Give -4*j(s) + n(s).\nAnswer: -2*s**3 - 2*s**2 - s - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u**6\/3 - u**3 - 2. What is the third derivative of g(o) wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 200201?\nAnswer: -201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s**2 - 33*s + 19. Let d(b) = 4*b**2 - 11*b + 6. Let i(u) = -8*d(u) + 3*x(u). Let z be (-11 - 3)*-1 - 4. What is i(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4\/9 + 8528*b**3\/9 - 3027436*b**2\/3 - 2024928*b + 3033126 = 0.\nAnswer: -3, 1, 2133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 43. What is the remainder when 122 is divided by d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3\/3 - 7*r**2\/2 + 5*r - 134. Determine c(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 5*l + 14 - 9*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4684, 0.19 in descending order.\nAnswer: 0.19, -0.4, -4684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, -5, 2\/5, -7\/8 in decreasing order.\nAnswer: 2\/5, -7\/8, -5, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7741.3 + 7743. Do -4\/9 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccrrrcc. Give prob of sequence ccr.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.641 and 1014.\nAnswer: 1011.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3457*u - 528 = -3433*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -15*o**2 + 2*o - 1376. Let b(g) = -2*g**2 + 1. Let j(h) = b(h) + y(h). Differentiate j(m) with respect to m.\nAnswer: -34*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -15, 2, 4, -0.5, -0.11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - 47*o + 156. Let l be s(5). Which is the closest to -0.1? (a) -3\/7 (b) 341 (c) l (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*k. Suppose k = -z + 1, -3*v + z + 3*z = 160. Let s = v - -479. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1373)\/(-5) - ((-12)\/(-20) + (6 - 6)). What is the greatest common divisor of z and 2603?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-838)\/2514)\/((-3)\/(-117)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.96102 centuries to months.\nAnswer: 53953.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -850347*m*t**4 + m*t**2 - 142876*m*t + 8*t**4 + 19 wrt t?\nAnswer: -20408328*m*t + 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659188.1mg to tonnes.\nAnswer: 0.0006591881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 3*q - 1. Calculate the least common multiple of d(-6) and 11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Let v = m - 4. What are the prime factors of 145\/6 - v\/(-24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68892484?\nAnswer: 2, 113, 152417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12964 = 36*k + 8420. Let q = k + 759. What is the smallest common multiple of 90 and q?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 - 106. Let l be (q + 44\/8)*0. What is the closest to l in 1\/3, 1, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2181915 divided by -45.\nAnswer: -48487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 34. Let f = h - -26. Suppose f*r = 3*r + 12. Solve r*c + 4*v = v - 9, 4*c - v = -12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63871 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znx when three letters picked without replacement from zcnjzxcpx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = 85 - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008232 rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3*(-8)\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 2. Suppose -h - 2*h = -60. Suppose h = -0*u + 5*u. Determine m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247\/4 + 62. Which is the second biggest value? (a) k (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7438 - -26722. Calculate the smallest common multiple of 15 and k.\nAnswer: 96420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 65 = -10*i. Let v(d) be the first derivative of 0*d + 0*d**i - 8 - 3\/4*d**4 - 2*d**3. What is the third derivative of v(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u)\/(u*u**(-2)*u)*((u\/(u**(-4)\/u))\/u)\/u*u**9*u assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uii when three letters picked without replacement from {u: 4, i: 16}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74987064017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -332079*x**6 + 7*x**4 - 35630900*x**2?\nAnswer: -39849480*x**3 + 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**3\/7 + 32140*t**2\/7 - 117766*t\/7.\nAnswer: -2*t*(t - 5353)*(3*t - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (5 + -5 + 8 + (-34 - -1))) + -56.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/64)\/(-15*10\/(-240))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 + 1223*h**3 - 1039*h + 1 wrt h?\nAnswer: -24*h**2 + 7338*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2)*n**4*n*n\/(n*n**(-4))*n*n*n**(6\/7))\/((n\/(((n\/(n\/n**(-4\/3)*n)*n)\/n)\/n))\/(n*n**1\/n)*n**5*n\/(n**(-2\/7)\/n)) assuming n is positive.\nAnswer: n**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + -2 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 2*o**2 + 489*o - 2. Let f(w) = -3*w**3 - 7*w**2 + 1466*w - 7. What is 4*f(x) - 14*t(x)?\nAnswer: 2*x**3 - 982*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/5)*c)*c*c\/c**(-2\/11)*c*c**(-4)*c*c**3)\/((c**(2\/3)\/c*c)**(-4\/11)*((c\/c**(1\/2))\/c*c)**(-4\/11)) assuming c is positive.\nAnswer: c**(661\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 7, 126 in descending order.\nAnswer: 126, 7, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345808128 and 6072?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72214309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -5817?\nAnswer: -5812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1466, -1449, -1420, -1379?\n\"Answer: 6*a**2 - a - 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 753 + 187 + 191 + 4*v + 183.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 6*x + 3*x)*(-29 - 18 - 34).\nAnswer: 162*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/6402030 and -92\/1785.\nAnswer: 44814210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 8*m**2 + 12*m + 6. Let x be t(7). Let w = 15.34 + -15.84. What is the third biggest value in x, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 598717, 598721, 598725, 598729, 598733?\n\"Answer: 4*k + 598713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 996943285*-0.1.\nAnswer: -99694328.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 0 = -3*u + 5*s, -5*u + 35 = -5*s. Let i be 2\/6 + u\/(-12). Which is the second biggest value? (a) -0.1 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, t: 12, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1380851 (base 12) to base 5.\nAnswer: -1444241311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2\/3*v**2 - 12*v**3 + 12*v + 14\/3*v**4 - 16\/3 = 0.\nAnswer: -1, 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 16) to base 14.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 3540.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 32 + 38*u + 312*u**3 - 565*u**3 + 250*u**3 in the form f*u + x + a*u**3 + b*u**2 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7985 and 5461740.\nAnswer: 5461740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - i**2 + 6*i**2 - i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 - 110010110?\nAnswer: -101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k)**(14\/11)\/(k\/k**(-7)*k\/k**(-2\/9))*(k**(3\/7)*k)\/(k\/k**(2\/7))*k**(3\/7)*((k*k**(-1\/5))\/k)\/k assuming k is positive.\nAnswer: k**(-23333\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2\/17, -26, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 - (0 + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205546 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/26444010 and -71\/12.\nAnswer: 52888020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 11*l**2 - 9. Let v be t(-11). What is the tens digit of ((-3)\/(-6))\/(v\/(-558))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 6 - 1\/((-2)\/88)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18087*n**2 - 17915*n**2 - 3*n**3 - 3*n**5 - 2*n**3 wrt n?\nAnswer: -180*n**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33500642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1255 - -303?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38\/15 (b) 6 (c) -0.2 (d) 0.86 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -12*k - 5*k. What is the closest to k in -3\/7, 36, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*g - 71. Let l = -18 - -22. Solve -i - l*c = 3*i + g, -5*i - 11 = -3*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 995*m - 4954. Let j(y) = 185*y**2 + 1. Calculate the remainder when j(1) is divided by v(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (38\/95)\/(16\/10 + 1). Let w = 7 - 3. Which is the nearest to 1? (a) w (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 14982 = -0*j. Let d be (-2 + 1)\/1 - (-3178)\/j. Factor d*n + 8\/3 - 4\/3*n**2.\nAnswer: -4*(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.59492 - -0.9511.\nAnswer: -0.64382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.9 - 9. What is the third biggest value in -0.2, -2\/13, x, 21\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*p + 34 = 0, 0 = -4*p - 13 - 3. Let j be 2 - 1 - (v - 8). Find l such that -l**j + 1\/2*l**3 + 0 + 1\/2*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-1)\/4) - 3. Suppose -58 + a = -3*r. What is the remainder when 71 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 14. Let x(o) = -o + 5. Let r(a) = -3*q(a) + 8*x(a). Let c(w) = -w. Calculate 3*c(p) + r(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, r: 3, z: 1, f: 2, o: 1}. What is prob of picking 1 f and 1 o?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/((-12)\/(-4971)))\/(10\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20208 divided by 1263?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153 - 261*x + 135 - 289 to z + q*x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 1 - 1)*(144*n + 8158 - 8158) + 34*n**2 - 67*n**2 - 4 + 31*n**2 to w*n**2 + o + m*n and give w.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6860 + 6858. Sort v, 2, -30, -11 in decreasing order.\nAnswer: 2, v, -11, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1017898*w + 1017899*w - 9 + 2.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 8:43 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 974018047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -1\/5 (c) -47\/8 (d) -1 (e) 1 (f) 0.478\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3704500 + 0.58?\nAnswer: -3704499.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 198, 23, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.363785 nanograms in micrograms?\nAnswer: 0.001363785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.019 and -0.1.\nAnswer: -0.2019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l**2 - 9*l - 21. Let c(g) = -5*g**2 + 8*g + 20. Calculate 3*c(t) + 2*v(t).\nAnswer: 3*t**2 + 6*t + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.296949 decades to months.\nAnswer: 635.63388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000110485 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-12)\/6)\/(1*2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v - 961 = 684. Which is smaller: v or -32?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7901481 kilograms in nanograms?\nAnswer: 790148100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftf when three letters picked without replacement from ftttttttttttftttttt?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/12 + 245*y. Let z(c) = -2 - 5 + 100*c + 7. Determine z(g(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1975*r**3 - 5*r**2 + 7*r - 3. Let o be y(1). Calculate the greatest common divisor of 24 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5)*(4\/40*97 + (-145)\/(-58))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = 19*v - 23*v - 75, -4*v - 2*f + 2 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + (15 - 8) + (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 7*h**5\/20 + 4*h**3\/3 + 4*h. What is the second derivative of j(z) wrt z?\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = p + 4*b, 0 = -p + 5*p + 2*b - 160. Solve -p*y - 53*y = 623 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 34182 = 2*q, -4*n - 39108 = -2*q - 4918. List the prime factors of q.\nAnswer: 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 + -105. Suppose -34 = -5*z + 2*y, -4*z + 2 + 26 = -2*y. What is the greatest common divisor of z and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 + 1743*o**2 + 26505*o + 18900 = 0 for o.\nAnswer: -420, -15, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22553 - -22552.922271. What is x rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - x + 1 + 2, 0 = -5*h + x - 7. Is 6 + (h + -1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68416275*3.\nAnswer: 205248825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9680\/67 < 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -142537419 to the nearest 10000.\nAnswer: -142540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/75 - 48*m**4\/5 + 13824*m**3\/5 + 710*m**2. Let a(r) = 0. Calculate r.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.78, 5, 0.4, -5\/2 in descending order.\nAnswer: 5, 0.4, -0.1, -0.78, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 43. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*z + 3*m + 9, m = 5*z - 18. Let s = z - -2. Solve s*h**2 - h**2 - 5*h**3 + 6*h**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2745149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32046645461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3*f**3 - 7057*d**3*f**2 + 29377*f**3 wrt d.\nAnswer: -6*d**2*f**3 - 21171*d**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1741 - -1747. What is the highest common divisor of b and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34991 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*((sqrt(1100) + sqrt(1100) + sqrt(1100)*-6)*2 + -1)*-1*-3)**2 + 5.\nAnswer: 24000*sqrt(11) + 15840105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19419836363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 9*z. Let l be p(-9). Let m(j) be the second derivative of 1\/18*j**4 + 0 - 1\/30*j**5 + l*j**2 + 0*j**3 + 2*j. Solve m(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*n - 394*n - 428*n + 167 + 1068*n.\nAnswer: -n + 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 20581 = -b + 20589, 0*q - 2*q + 33*b + 124 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:42 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -99?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44 - -3*(-2)\/3. Let x be (1\/2)\/((-8)\/(-48)). Suppose -n = w - x*w. Calculate the remainder when 61 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 4. Suppose -7*j = -6*j - 1. Let h(c) = c**3 + 1 - 4*c**3 + 2*c + 2*c**3 - 2*c**2 + j. Give h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41570*i + 41543*i = -481302. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = -q. Let k(m) be the first derivative of -m**2\/2 - 609. Determine k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -451 at most as big as -457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1025 - 861. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 - 10. Let o(n) = -n**2 - 2. Suppose a + 8 = 6. Calculate a*f(c) + 11*o(c).\nAnswer: -3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46900538501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 542639690 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:59 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 6*p**2 + 2*p**2 + (7*p**2 - 3*p**2 - 2*p**2)*(-3 + 0 + 1) + 2*p - 40*p**2 + 9 - 30*p**2 + 69*p**2 as h*p + k + g*p**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by -4?\nAnswer: -95\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l - 34. Let h be 4 + 0 + 45\/(-5). Let d be o(h). Which is greater: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/(6*(-1)\/14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w + 2*w + 2*w + 13*w. Let i(f) = 160*f. What is i(y(c))?\nAnswer: 480*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -k + 4*m, 0 = 2150*k - 2148*k + 13*m + 37 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 38. Let b = -2 + 6. Solve -b = -2*z + a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*q + 155, 5*v - 178 - 1 = 3*q. Let a = v + -42. Let p(m) = 2*m + 12. Determine p(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 506 = y, 2*v - 11*y + 12*y - 334 = 0. What is the greatest common factor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - l - 13 = -5*f, 0 = 2*f - 2*l + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1952 - -197. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*i - n, -691798*i + 3*n + 33 = -691796*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544248 and 45354?\nAnswer: 544248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2130059, 0.11, 1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68.53377 + 14.533818. Let s = -54 - p. Round s to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15009 + 6067 = -95*w - 1342 for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let o = -122 - -243\/2. What is the nearest to o in 2\/9, -4\/5, h?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -4*(-2 - (-18)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -15, -1\/8, -1029, 1, -1\/2?\nAnswer: -1029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 5 + 9*484\/396.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*q = 9, -3*q + 11 + 0 = 5*v. Suppose -3*d = 2*z + z + 60, 5*z + 3*d + 104 = 0. Calculate the remainder when 44 is divided by (-1)\/(v\/(-1)) - z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -8c1e6?\nAnswer: 8c1e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2190, -2191, -2192, -2193, -2194, -2195?\n\"Answer: -n - 2189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 + 2*f - 11. Give b(3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -148 and -83811.\nAnswer: -83959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*v + 25, -25 - 4 = -2*v - 5*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1827*h**2 - 4*h + 4. Let c(d) = -7905453*d**2 - 17307*d + 17307. What is 4*c(q) - 17307*f(q)?\nAnswer: -1923*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = g - 580, -2*t = -5*g - 232. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5134.375l in millilitres?\nAnswer: 5134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -6, 2, -64 in decreasing order.\nAnswer: 5, 2, -6, -10, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33242 + -5.\nAnswer: 33237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/36)\/(4\/16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-10) + (398217\/30)\/(41\/82) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.361369 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 19 = -2*l, 4*l - 4*p - 1 = 7. Let y = -8 + l. Let r(f) = -23*f - 1. What is the tens digit of r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(9\/9)\/((-34)\/51)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1104 + 1124 = -3*u, 5*u = -2*a - 42. Let n(h) = h**2 - h + 8. Give n(u).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 6, -12, -4, -37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*v - 1 = 0, 5*v = -4*r - 0*v + 17. Suppose w = 3*z - 8, 2*z + 0*z - 20 = -r*w. Solve 0 = -z*h - 0*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*p**3 - 18775*p**2 - 14065*p + 4690.\nAnswer: -5*(p + 1)*(p + 938)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -646376 (base 8) to base 6.\nAnswer: -4345250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Let z = 24 - 11. Suppose -z = -x*t + 27. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3270, 3231, 3192?\n\"Answer: -39*p + 3309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000519573 rounded to 6 dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/31 in -4, -0.1, -99, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h**3 - 8*h + 5. Suppose 3 - 33 = 5*u. Let x(l) = -l - l**3 + 4*l**2 - 4*l**2 + 1. What is u*x(c) + y(c)?\nAnswer: -c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1584*v**3 - 114*v**2 + 33*v - 3029011 with respect to v.\nAnswer: -4752*v**2 - 228*v + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/21, -9\/14, -4\/9.\nAnswer: -9\/14, -4\/9, 1\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 2. Let s = -62 + 77. What is the units digit of p(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09963*6.32.\nAnswer: -0.6296616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 33. Which is the closest to -1? (a) -1\/8 (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0943 - 838.0943. Let f = x + 838.00001372. Round f to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 431 = -467 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19659153.9834 + 19821838.563398. Let j = g - 162684. Let f = j - 0.58. What is f rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 p when four letters picked without replacement from rrprrrpr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-9)*(-6)\/(-5). Suppose -3*z + t*z + 42000 = 0. What is z rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-30)*6\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 bigger than -235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/10 and 71\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-30)*(-6)\/(-1). Let t = -6006.09 + 6006. Which is the second biggest value? (a) -3\/7 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 806 + -1676. Let b be l\/25 + (-2)\/10. Let a = 95 + b. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 <= 361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*18\/(-168)*-4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -5105.8 (c) 133 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103.3000611 + -103.3. Round h to 6 decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/20 - 3*x**4\/4 + 11*x**3\/6 - 21*x**2\/2 + 80*x. Let r be j(8). Solve r*t = -7 + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 7*m**2 + 1 + (2*m + m - 4*m)*(1 + 2*m - 1).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 7*f - 3. Let g be y(-4). Let m be (-12)\/g*(-3)\/(-25). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*b + 164*b - 17595. Let r = b + -1297. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4190880709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 4*s - 4. Let d be t(3). Is d <= 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 138755 = -138403 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*j + 56*j + 39*j - 27 - 95*j as v + w*j and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + -1b?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3 + 1 - 8*m + 8*m**2 + 7*m + m**3 + 3*m. Let i be -1 + (-12 - 5) - -10. Determine s(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 15 - (-6 - (3 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.024 and -30.07?\nAnswer: -0.72168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/470 or -92?\nAnswer: 3\/470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 60*v**3 + 3*v**2 - 3*v. Let w be i(3). Let h = -779 + w. Find the common denominator of h\/(-78) + (-10)\/65 and 55\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 16*f**2 + 902*f + 884.\nAnswer: -2*(f - 26)*(f + 1)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8414 + 4180 - 20*o**2 + 4208 + 2*o**2 to x*o**2 + c + v*o and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79489882363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 11. Let p be r(-7). Suppose f + f + 1 = z, p*f - z - 3 = 0. What is the derivative of 67*s**2 + 4*s - 71*s**f - 4*s + 17 wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18233, -72981, -164233, -291989?\n\"Answer: -18252*k**2 + 8*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1240992, 4963926, 11168814, 19855656?\n\"Answer: 1240977*x**2 + 3*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/504)\/((-13)\/(-7)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/85 - ((-708)\/(-10))\/(-3). Solve 4*j + 4*h = 0, 3*j + k = -j + 2*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 119 + 73 = 0. Suppose -20 = -4*h + 44. What is the highest common divisor of i and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1575, -1574, -1573?\n\"Answer: s - 1576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:27 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-736)\/(-270) - 2 - (-11 + 1534\/130).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 5*a**3 - a**3 + (3*a**2 + 2*a**2 - 3*a**2)*(a + 0*a + 0*a) + a**3 + a**3 - a**3 - a**3 - a**2 + a**2 + 12*a**3 - 2*a**3 - 3*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-44)\/1078)\/(8\/(-32)*12).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*i**3 + 2*b*i**2*u**2 - 31*b*i*u - 6*i**3*u - 11*i*u**2 + 3*i*u wrt b?\nAnswer: 4*i**3 + 2*i**2*u**2 - 31*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 381 + -377. Suppose 5*q + 0*q = 10. Suppose 12 = 5*g + q. Solve -b = -g*k + 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2805 and 425.\nAnswer: 14025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 381121 divided by -247?\nAnswer: -1543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (143\/(-22) + 6)*-3*10. Solve -10 - 5 = -t*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 27*n = -5*j - 1312, 5*n = j + 3234. What is the greatest common divisor of 266 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.69 and -109.2.\nAnswer: -101.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 690 and 203205?\nAnswer: 406410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**2 + 0 + h**4 - 6*h**2 + 3 - 11*h in the form l*h + k*h**3 + d*h**4 + a + b*h**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 31, 31, 21?\n\"Answer: -5*u**2 + 25*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (7 - -11)) + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-8)\/4)*11. Suppose -8*h = -9*h - 17. Let i = h + z. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 (base 7) in base 6?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105577 and 187362.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4160 and 38.\nAnswer: 79040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3\/5, 1\/9, 8, -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 0*k - 24. Let m(h) = 5*h - 6*h - 8048 + 8048. Let y(f) = 6*f. Give k*m(c) - 2*y(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven fifteenths of a week?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/6 + 37*c**4\/2 - 3815*c**3\/6 + 3551*c**2\/2 - 3475*c\/3 = 0?\nAnswer: -139, 0, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 4*t + 6. Let j(x) = 5*x + 271. Let z be j(-55). What is d(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.41 - 63.59. Which is bigger: u or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 14) to base 6.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4935, 4936, 4937, 4938?\nAnswer: 4939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 62772034\/31 and 2024904 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let i(w) be the first derivative of w**2 - 6. Determine -4*h(a) + 3*i(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + l - 43 = -53, -2*l + 36 = -8*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6289 = -1118*o + 86505 for o.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuumiimuiququuquumm. Give prob of picking 1 u and 3 i.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 12) to base 11.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*((-6)\/5 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 112520516558824.\nAnswer: -112520516558821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10527306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*q - 25*q + 329867 - 329881 to the form x*q + a and give x.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*((h*h\/h**(-3))\/h)\/h))\/h)\/(h**(-1\/4)\/h))**(3\/11))**48 assuming h is positive.\nAnswer: h**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -0.046938.\nAnswer: -0.146938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/15)\/(1\/(-6)). Let p = q - 5. Suppose 0 = -p*u - 136 + 340. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 6*b**2 + b - 6. Suppose 0 = -3*l + n + 53, 3*n + n = l - 25. Let o(u) = 12*u**3 - 17*u**2 + 3*u - 17. Calculate l*z(c) - 6*o(c).\nAnswer: -4*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 907.1943?\nAnswer: 911.1943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 1. Let y(t) = 5*t**2 + 3*t + 3. Let i(s) = 6*r(s) + y(s). Let l(b) = -b + 1. Give -i(d) - 3*l(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-1650)\/99))\/(9\/15)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102441 + -112?\nAnswer: -103103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41202, 82402, 123602, 164802?\n\"Answer: 41200*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322 - 3. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 + (-136)\/(-16))*(2 - -6). Which is the fourth smallest value? (a) -10 (b) 0.1 (c) y (d) 5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, y: 1, n: 2, g: 1, i: 2, j: 5}. Give prob of picking 1 b, 2 n, and 1 j.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -53, -145, -281, -461?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5758*q - 1156*q + 10378*q - 519*q)*(-3*q**3 - 2*q**3 + q**3).\nAnswer: -57844*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 3 (c) -19\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/3 + 0)*9252\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-65)\/(-39)) + (-1 - -2). Factor 0 + 7\/6*c**2 + r*c + 5\/6*c**3.\nAnswer: c*(c + 1)*(5*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 0.3, 0.116, 1\/4, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*g + 10 + 92*g + 2 + (0*g - 3*g + 2*g)*(4 - 2 - 4) as q + x*g and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 216162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -18578190 to the nearest one hundred thousand.\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -15. Solve 13 = n*b + 5*l, 2*b + 5*l - 18 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 332*k**4 - 6693 - 202*k**2 + 6693 wrt k.\nAnswer: 7968*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -10. Let m = -28 + 33. Suppose -41 = -m*s - 1. Calculate the remainder when r is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 11. Let v = -26.9 - r. Let i = -547 - -547. What is the nearest to v in 1\/9, -0.2, i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2238, -2234, -2230, -2226?\n\"Answer: 4*r - 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) -0.1 (c) -4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 2:34 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/96 and 115\/4032.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 10. Suppose 4*o + 0*o = -j + 13, -7 = -j - 2*o. Calculate the highest common divisor of j and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1304, 2706, 4162, 5666, 7212?\nAnswer: 8794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54393\/36266 - -3\/18133. Let v be (-8)\/14*(-2)\/(-8). Put -2\/15, v, t in ascending order.\nAnswer: v, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 54825*d - 16051*d + 31226*d. Suppose 8*i + 10 = 3*i - 5*k, -k - 5 = 2*i. Let s be o(i). What is s rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1331187*d**6 + 10476*d**2 - 4*d - 4?\nAnswer: 159742440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**5*g + 2*f**5 + 27*f**3*g + 203*f**2*g + 2*f**2 + f wrt f.\nAnswer: -240*f**2*g + 120*f**2 + 162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 10*h - 852. What is f(-24)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.91194257 to two dps.\nAnswer: -89.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 743663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-32) - 110\/176. Sort 1811, d, 7 in descending order.\nAnswer: 1811, 7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*l - 20, -9*l + 16*l + 38 = 4*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.043 and 301121.\nAnswer: 301120.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 68. Let d = t - 30. Put -2\/11, 0, d in descending order.\nAnswer: 0, -2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1113 and 70914.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -855 + 831. Let p be (-3)\/24 - (915\/x + 7). Solve y + y - 4 = -2*h, -5*h = -2*y - p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/4)*r)**(1\/34)\/(((r*(r\/(r**(-2\/15)\/r))\/r)\/r*r)\/(r**(3\/4)*r)))**(-1\/19) assuming r is positive.\nAnswer: r**(677\/38760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -251, -934, -2359, -4796, -8515?\n\"Answer: -45*q**3 + 34*q**2 + 2*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9 = -0*f. Suppose 4*r = 4*o + 19 + f, 4*r - 33 = 5*o. Let g = o - -27. Calculate the lowest common multiple of 2 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 23. Let h = -11 - w. What is the closest to 1\/4 in 13, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3514 and 20.\nAnswer: 35140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.874\nAnswer: -0.2622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 12799834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -620868*i*q + 238*i*u**2 + 22*i - 12734*q*u**2 wrt u?\nAnswer: 476*i*u - 25468*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -9 (c) -3742 (d) -2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99336, -397311, -893926, -1589175, -2483052, -3575551?\n\"Answer: r**3 - 99326*r**2 - 4*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 74480*m - 74478*m - 2, -2*m + 5*v = -20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 4, m: 2, t: 4}. What is prob of sequence zt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*l**6 - l**3 - l**2 - 16 wrt l?\nAnswer: -5760*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 37*b - 80. Let t be m(39). Let j be -2*((-12)\/t + -8). Find q such that 7\/3*q**5 - 4*q**j + 0*q + 0 + 2\/3*q**2 + q**3 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*k = 36. Suppose -19 = -c + 7*o - 2*o, 0 = -k*c - 2*o + 32. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:48 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 - 2*z + 2*z + (2*z**2 - 4*z**2 + 0*z**2)*(1 - 2*z**2 - 1) + 2*z**4 - z**4 + 0*z**4 - 2*z**4 + 0*z**4 - 2*z**4.\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56233 and 35013?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 306, 680, 1184, 1884, 2846, 4136?\n\"Answer: 11*o**3 - o**2 + 300*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12303434 and 572.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -4 + 2*b**2 - 2*b**2 + 2 - 2*b**2. Let h(y) = y. What is q(h(p))?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -68. Suppose -4*x = -2*a - 4, q*a + a + x - 45 = 0. Calculate the lowest common multiple of a and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2460*x - 19457*x - 6987*x - 6348*x.\nAnswer: -30332*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/(-45)*7\/21)\/(2\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -0*a + 5*h + 25, 4*a - 3*h = 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**14\/k*k**(2\/11)\/k)\/(k*k**(-2\/15))**(-1\/2))**(-27) assuming k is positive.\nAnswer: k**(-37467\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(360\/(-3600)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 10*s**2 - 24*s + 20. What is g(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjcjttcttcjttjfw. What is prob of sequence wffc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/5*r**3 + 0*r - 3\/5*r**4 + 0 - 84\/5*r**2.\nAnswer: -3*r**2*(r - 7)*(r - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*q + 78*q**3 + 80*q**3 - 41*q**4 + 58*q**3 - 214*q**3 + 7600 - 3*q wrt q?\nAnswer: -164*q**3 + 6*q**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1. Let i(c) = -2*c - 4. Let n(p) = -i(p) + z(p). Calculate n(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-28)*16\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -11\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12068747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j)\/(j\/((j**8*j)\/j)*j))**(-3\/16)*(j**5\/((j*j\/(j\/j**(-13)))\/j))**(2\/69) assuming j is positive.\nAnswer: j**(165\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26.3 (b) -802.1 (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 9*q**2 + 11*q + 8. Let h be w(-10). Let b be 4\/(-14) + 36\/(-21). Is b smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttttuuututtutttut.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 70. Calculate the greatest common divisor of x and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4379522120 to the nearest integer?\nAnswer: 66178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 16. Differentiate -2*u + f + 31 + u + 1 wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 16*x**4 + 8*x**4 - 421*x**3 - 537*x**3 + 278*x**3 + 10*x**4 in the form s + r*x**4 + u*x**3 + i*x**2 + w*x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -646306402 and 4.\nAnswer: -646306398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*a + 39 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1\/193 (c) -0.4 (d) -0.722 (e) 4 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/32153 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/13 - 683542856*m\/13 + 58403854498579592\/13 = 0.\nAnswer: 170885714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 17*m + 155 + 41 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304.44 + -298.44. Put -4\/3, 3\/4, o, -2.4 in decreasing order.\nAnswer: o, 3\/4, -4\/3, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/4 + 19*j**3\/3 - j**2\/2 + 25*j - 97. Calculate p(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:24 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/30 + z**4\/2 + 8*z**3\/3 + 5*z**2. Is 10 a factor of u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:07 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35587*v**6 - 2*v**4 - 17*v**2 - 11017?\nAnswer: 4270440*v**3 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23553849962 and -0.3.\nAnswer: 23553849961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 + 70*g - 64. Let p be t(34). Suppose 8*x = -5*v + 3*x + 55, p*v + 3*x = 40. Solve 4 = -3*j + 5*l, -2*l = 4*j - v - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 15. Let q be h(5). Suppose -6*k - 4*k - 20 = q. Which is the nearest to -1.9? (a) -0.5 (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*z - 10 = -p, 2*z - 12 = -4*p. Which is bigger: p or -3\/73?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93583 = 27*a - 227906. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*l**3 - 731*l**3 + 2137*l**3 - 679*l**3.\nAnswer: 90*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1498 - 315 = -79*u - 12*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**3\/3 - n**2\/2 + n - 2. Let y be f(-3). Suppose 10*t + 5 = 15. Sort y, -9, t.\nAnswer: -9, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118590 + -62703\nAnswer: -181293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/6 + c**3\/6 + 7*c**2\/2 - 87*c + 3. Let o(l) = -6*l**2 + 2*l + 20. Give 17*b(s) - 6*o(s).\nAnswer: 2*s**2 + 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3079, 5588, 8107, 10642, 13199?\n\"Answer: b**3 - b**2 + 2505*b + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10240 (base 5) in base 15?\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6375 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s + 5. Let p(z) = -2*z + 2. Suppose -4*q - 3*t + 91 = 0, 0 = 5*q + 5*t - 111 - 9. Let b = q - 33. Give b*p(h) + 6*r(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/9 - 16586*x**3\/9 + 1805764*x**2\/9 - 45079168*x\/9 + 108932096\/3 = 0.\nAnswer: 16, 78, 8183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/60 + 197*j**3\/6 + 7*j**2 + 43. Let h(a) = -3*a**2. What is h(n(k))?\nAnswer: -3*k**4 - 1182*k**2 - 116427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6733 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.521 - -1.5. Let v = c + 0.121. Sort 2, 0, v in ascending order.\nAnswer: 0, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.01, 0.183, 3\/4 in increasing order.\nAnswer: -0.08, -0.01, 0.183, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**8\/168 + 2*a**7\/105 - a**6\/60 - a**5\/15 - a**2\/2 + 5*a. Let f(h) be the first derivative of i(h). Factor f(d).\nAnswer: 2*d**2*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1470115349*t**3 + 1594073837 wrt t.\nAnswer: -4410346047*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 50. Let n be p(-15). Let b(z) = n*z**2 - 4*z**2 - 7 - 14*z**3 - 4 + 13*z**3. Give b(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -23. Suppose -s*f - 100 = -17*f. Suppose -3*d = 5*r - f, -r - 34 = -4*r + 2*d. Which is smaller: 9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevvtbvtb. Give prob of picking 1 e, 1 v, and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-78)\/1740 + 8\/(-1440)*-12*-3.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1071998\/63 - -17016. Let x(o) be the first derivative of 1\/42*o**4 + 1\/7*o**2 - m*o**3 + 6\/7*o + 20. Suppose x(u) = 0. Calculate u.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -193, -190, -139, -16, 203?\n\"Answer: 4*b**3 - 25*b - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - 5\/(9 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0 + (-6 - -7). Let l(v) = -4*v + 2 + 4*v**u - 4 + 7*v. Let n be l(2). What is the greatest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-513)\/(-15))\/3 + 2\/(-5). Let v(d) = -d**3 + 9*d**2 + 24*d - 26. Let c be v(m). Is -33\/10 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let f be ((-6)\/3)\/s - -1. Suppose 0 = -p + f*p - 25. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, v: 4, k: 2, t: 1, r: 1, e: 3}. Give prob of sequence rvkv.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 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: Let p(b) = -4*b**3 - 26*b + 46. What is p(2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1766.419 to the nearest integer.\nAnswer: -1766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21214 (base 9) to base 11.\nAnswer: a5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*y + 211*y - 8089709 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -91*j - 3. Let l be y(4). Let q be (4 + l)*(-3)\/9. Let w = q - 72. What is the remainder when w is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 80*k**2 + 227*k + 308.\nAnswer: (k - 77)*(k - 4)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 + h - 4. Let j be v(4). Suppose -1 = -d + 2. Suppose j = d*a - 5*a + 6. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -0.7 (c) -285 (d) -1\/5 (e) 0.3 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -5*y**2\/2 + 23*y - 187. Determine o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 28. What is the remainder when ((-10)\/3)\/((-1)\/12) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 35975910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/20 + 11*v**4\/12 + v**3\/2 - 2*v**2 + 17*v. Give o(-11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/15 and -86\/13935?\nAnswer: 13935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5\/4 + 189*v**4\/2 - 15999*v**3\/4 + 58149*v**2 - 54243*v = 0. Calculate v.\nAnswer: 0, 1, 41, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 31. Let g(w) = 3*w - 18 - 2*w - 2*w - 52 + 91. Calculate -5*a(v) - 8*g(v).\nAnswer: -2*v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*c - 267 = -423 + 5286 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-9*y + 19*y + 11*y) + 0 + 2 - y + 0*y.\nAnswer: -43*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114143243 (base 5) to base 4.\nAnswer: -2003023223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 12. Determine f(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41899*c**2*y**2 + 5*c*m**2*y**2 - 2*m**2*y**2 + 16*m*y - m + 12492*y wrt c.\nAnswer: -83798*c*y**2 + 5*m**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -3.5821.\nAnswer: -0.71642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 495c (base 14) to base 11\nAnswer: 96a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - s + 7 = 6, 5*t = 5*s + 15. Let n(i) = 11 + t + 2 - 18 + 2. Let j(d) = 1 + 2*d - 8 - 3*d. Determine 5*j(k) - 35*n(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 + 35 = 0. Let w = l - -19. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/9*3186\/(-13452).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -35*k + 550. Let z be c(16). Let a be ((-2)\/(-3))\/((-1)\/3). Sort z, 4\/3, 2, a in descending order.\nAnswer: 2, 4\/3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c - 136 + 0*c**2 + 368*c + 134 - c**2.\nAnswer: -c**2 + 324*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -398610 divided by 10?\nAnswer: -39861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 - t**2 - 2*t**2 + 1 - 1 + t**2 + (t + 2*t - 6*t)*(t + 3*t - 2*t) + (-2*t + 2*t + 2*t)*(-2*t + t + 0*t) + (t + 0*t - 2*t)*(3*t - 2*t + 0*t).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4 + 254*o**3 - 857*o**2 wrt o?\nAnswer: 48*o + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*l + 21, 0 = -3*l + a - 13 - 11. Let x be 2\/6 - (-48)\/l. Does 10 divide 100\/6*(-6)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25836258328258 - -0.5.\nAnswer: 25836258328258.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19885 + -19772. Calculate the remainder when 360 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -597*n. Let s(u) = -45*u**2. What is s(b(z))?\nAnswer: -16038405*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {k: 2, h: 9, l: 1, q: 1, w: 1, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 27*f**2 - 26*f - 65. What is t(28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*k**3*m**3*v - 29*k**3 - 2*k**2*v + 7*k**2 + 2*k*m**2 + m**5*v wrt m?\nAnswer: -90*k**3*v + 60*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 92. Suppose -16 = -4*b + 2*g, 3*g + d = 5*b + 2*g. Let o = b + -3. Solve -2*m = o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**8*s\/s**(7\/3)*s*s**8*((s**(-2\/3))**(1\/13))**(-9\/4) assuming s is positive.\nAnswer: s**(607\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26256 is divided by 2494?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) -0.02 (c) -1.9 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80*89\/3560*2*8?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 428 = 2*w, y + 639 = -2*y - 4*w. Let s = y - -591. What is the highest common divisor of s and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 14.15, -0.3, -2.3 in descending order.\nAnswer: 14.15, 5, 0.5, -0.3, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*t + 174*t = 0. Solve -2*h + 6 - 16 = t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - 2*z**4 + 0*z**3)*(2*z - 2*z + z) + 19*z + 333*z**2 - 337*z**2 - 2*z**5 - 29*z.\nAnswer: -4*z**5 - 4*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 1. Let u be w(1). Let j be 2 - (0 + -2)\/u. Let q(y) = 3 + 2*y - j. Let n(g) = -g. Give n(q(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 2. Let m(y) = -y**3 + y**2 - 11*y - 17. Let f(j) = m(j) + 3*q(j). Let h be f(-2). Solve -3*t + 5*u + 6 = 16, -h*t - 3*u = -40 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 3.2. Which is the third smallest value? (a) 5 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 19*y = 3*u - 10, 0 = -4*u - 2*y. Suppose -2*b + 3*i - 3 - 6 = 0, 5*b = 5*i - 10. Solve 23 = -b*v - u*v + r, -3*r = -4*v - 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11508 + -11503. Solve 4*p - j = -3*z, -z + 6 - 3 = p for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110210 + 100222212202?\nAnswer: 100222101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c. Let d(b) = 24*b - 2. Give p(d(t)).\nAnswer: -72*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2. Let m(u) = 360*u**2. Calculate m(r(l)).\nAnswer: 5760*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000608859 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 356\/(-8) + 2\/4. Sort z, -2, -3 in descending order.\nAnswer: -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 11*y - 10 = 0. Suppose -3*f + y = -4. Solve 2*u + 0 + 7 = -p, f*p = -2*u - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.7940742 rounded to 3 dps?\nAnswer: 159.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37527021?\nAnswer: 3, 7, 53, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, c: 1, m: 2, p: 2, v: 2}. What is prob of picking 2 p and 1 i?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = -15. What are the prime factors of 1 + 16 + 3 - n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 167, 390, 671, 1004, 1383, 1802, 2255?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459725 + 459728 - 919453 + 15536*g.\nAnswer: 15536*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -33. Let k = 1277 - 1275. What is the closest to k in 0.3, -2\/7, -3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(3\/8)\/r)\/r)\/r)**(-12)*((r*(r*r**23*r)\/r)\/r*r*r)\/(r\/(r*r*r\/r**(-15)*r*r)))**(-15\/2) assuming r is positive.\nAnswer: r**(-2295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440858076 to the power of 1\/2, to the nearest integer?\nAnswer: 37959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (11 - (0 - 8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/4 + -31\/12. Let a be (3\/12)\/(1\/20). Suppose -5*j - a = -0*j. What is the nearest to j in -2, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3282 = -8*a - 966*a + 37626 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (438 + -399 - (32 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 394 and 861026718.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 29 - 41 = 0. Solve r*y + 16 = -3*x + y, 3*x = -4*y - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4116416013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29105 is divided by 2852?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*o - 3010, 0 = 5*o + 13*l - 18*l - 3010. Calculate the highest common divisor of 70 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/(-45)*57\/2. Let h = w + -33. Solve h + 7 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 9*x + 10. Let o be c(8). Suppose -b = -r + 188, o*r = r - b + 190. Let u = 4614 + -4593. What is the greatest common divisor of u and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/7 (c) 66\/107 (d) 1470\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 220 = 3*y + 49, 5*y + 3*p - 285 = 0. Suppose 0 = -y*v + 61*v - 1124. What are the prime factors of v?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)**(-25\/2)*a*((a*a**2)\/a)\/a*(a*a**(-7)*a)\/a)**(2\/85) assuming a is positive.\nAnswer: a**(-33\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33073 - 1100?\nAnswer: -34173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-26)\/(-3))\/(-1))\/(2\/(-66)). Let o be (-3)\/(78\/(-4)) - (-1958)\/a. What is the common denominator of (4\/(5 - 3))\/((-18)\/o) and 42\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -1358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32985421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:01 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 15*f - 43 + 16*f)*(3*f**2 - 5*f**2 - f**2).\nAnswer: 12*f**3 + 129*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((56064\/(-511))\/(-96))\/1.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 divided by -6?\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/7)*h**(2\/57) assuming h is positive.\nAnswer: h**(-43\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0827 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 1\/6*y**3 + 0 - y + 5\/72*y**4 + 0*y**2 - 1\/120*y**5. Let d(c) = 0. What is c?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i - 12. Let v = i - 0. Let a = 3 - 4. Sort v, a, -2 in increasing order.\nAnswer: v, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/4 (b) 0.4 (c) 79570\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 + 0.8. Let k = -126.1 + 127.1. Put -3, l, k in descending order.\nAnswer: k, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-460) - (-1)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 66 - j + 22 - 2*j**3 + 25 + 3*j in the form u*j**3 + a*j**2 + t*j + b and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n + 32*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/28 - -2)*259. Suppose 1 = -s - 51. Let m = g + s. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32578, -30958, -29338, -27718, -26098, -24478?\nAnswer: -22858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40500100 (base 6) in base 14?\nAnswer: -222376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/((-12)\/4)*(80\/36)\/(-10)*9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 5. Let n(k) = -100 + 35 + 28 + 33 - 4*k. Let y(i) = -5*j(i) - 6*n(i). Let b(u) = u**2 - 5*u - 7. What is b(w) - 5*y(w)?\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (1 + sqrt(704))*5)**2.\nAnswer: 480*sqrt(11) + 25369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g, 11*v = -4*g - 11 + 33. What is the least common multiple of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 419*i + 160. Is f(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -24*(-22)\/(-88)*(-20)\/18. Factor -1\/6*n**2 - 200\/3 - s*n.\nAnswer: -(n + 20)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(3\/(-6)). What is the nearest to d in 3, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*k + 12, 5*k + 3 = -3*i + 6*k. Let y(s) = -2*s - 2 + 2 + i. Let j(t) = -t**2 - 3*t**2 + 7*t**2. Calculate y(j(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -24. Let q = s + -13. Is 2 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8408 and 9459.\nAnswer: 75672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21484*m + 21486*m - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 - 2*w**3 + 4*w**2 - 3*w**4 + 3*w**4 - 1149 + 1156 in the form x*w**2 + h*w + i*w**3 + d + c*w**4 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -567427 + 567431. Suppose 5*r + 4*a + 1 = -2, -2*r + 4*a = 18. Sort r, y, 0, -4 in decreasing order.\nAnswer: y, 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1962 = 3*n - n. Let f = -5617\/6 + n. Let k = f - 45. Put -1\/9, 3, k in ascending order.\nAnswer: k, -1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r + 5. Let a(i) = 5*i**2 + 11*i + 29. Let g(k) = 6*a(k) - 34*h(k). Let t(l) = -3*l**2 - l + 3. Calculate 5*g(q) - 6*t(q).\nAnswer: -2*q**2 - 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(39)\/sqrt(3) - (-2*sqrt(13) + -2))**2.\nAnswer: 12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, h: 1, x: 13}. What is prob of sequence hxlx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 44*q = -41*q - 6597, 0 = 4*h - q - 6617. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941574?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {c: 2, n: 3, x: 2, w: 1, o: 1, l: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {d: 1, y: 1, b: 1, s: 1, l: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2241 + 2240.89. What is the third smallest value in 1, -0.4, u, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqv. Give prob of sequence vv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-3*8\/12. Let i(c) = 5*c**2 + c + 17. Let z(w) = -2*w**2 - w - 8. Let o(y) = v*i(y) - 9*z(y). Suppose 0 + 20 = 4*j. Calculate o(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001201 + 1001120?\nAnswer: 2010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**3 - t**2 - 6*t - 3. Let n(x) = 6*x**3 + 6*x + 3. Let d(i) = 5*h(i) + 4*n(i). Let a = -10 + 2. Let m = -12 - a. Determine d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21520880 by -4304176.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:15 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = -4. What is the tens digit of 1\/c + 64\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(3 + 1 - 3 + (0 + 2 + 0)*(-2 - 1 + 1))*(3*q - 3*q + 2*q**2).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -48, -31, 24, 129?\n\"Answer: 2*i**3 + i**2 - 26*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 165272, 661092, 1487458, 2644370, 4131828, 5949832?\n\"Answer: 165273*j**2 + j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41771999 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 10370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 62, 5, -30.\nAnswer: -30, 4, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 11*c - 32. Is c equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.5 + 33. Which is the closest to -33? (a) v (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53261, -213046, -479355, -852188?\nAnswer: -1331545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/5*(6\/4)\/((-45)\/(-75)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 4. Let v be p(-1). Let k(w) = -w**3 + 7*w**2 - 6*w + 3. Let s be k(v). Let l(y) = -4*y + 2. What is l(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 0.4, -1, -4, -0.26684?\nAnswer: -0.26684","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189, 176, 163, 150, 137?\n\"Answer: -13*p + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1059)\/(-2471)*112\/(-3504).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - t + 78 = 0, 69 = 5*n - 0*n - 2*t. Let i = -1\/1060 + 14311\/1060. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - x + 4. Let a = 21 - 12. Let s be ((-2)\/4)\/(a\/72). Determine v(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -100?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, x: 3, i: 1}. What is prob of sequence vx?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 3*v**7\/7 + 13*v**6\/20 - v**5\/10 - 11*v**4\/36 + v**2\/12 - 1715*v + 3. Let q(l) = 0. Calculate l.\nAnswer: -1, -1\/3, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 0, 10\/9.\nAnswer: -51, 0, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 7, k: 2, y: 1}. Give prob of picking 1 e and 2 k.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4095\/(-4914))\/((-2)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-35))\/(-4*(-8)\/(-224))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112123122 (base 4) in base 7?\nAnswer: 3003046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 13*m - 262. Determine a(-13).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 65\/31 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -134. Let x be (60\/(-9))\/(b\/(-342)). Solve -20 = -20*v + x*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t + 423. List the prime factors of h(46).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1583477, 1583476, 1583475, 1583474?\nAnswer: 1583473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (1 + sqrt(85)\/sqrt(5))) + sqrt(1088)*6.\nAnswer: -1 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*c - 0*c + 5*k, -k - 3 = 0. Suppose -5*s - 360 = 5*t, 2*s + 118 + 21 = 3*t. What is the common denominator of 32\/3 and (s\/c)\/(14\/(-21))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1921\/80 - 433\/16. What is the common denominator of r and -99\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*q**2 + 17*q**2 - 6841*q**3 + 6843*q**3)*((7*q - 3*q - 2*q)*(-1 + 2 + 1) - 3*q - 4*q + 5*q).\nAnswer: 4*q**4 - 104*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7213 + 1*(-2)\/(-2). Let a = -86717\/12 + k. Let h = 496781\/24 - 20701. Calculate the common denominator of h and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.74979 nanograms to grams.\nAnswer: 0.00000000674979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 2, h: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1139, -2224, -3313, -4406, -5503?\n\"Answer: -2*v**2 - 1079*v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5 + 2. Let r(z) = -z + 4. Let o(m) = 2*m - 9. Give q*o(a) + 7*r(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-1)\/(2\/(-6)) + 5248\/(1 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*k - 159, 5*k + 0*j + j = 384. Let f = 82 - k. Solve -4*s - 1 = -f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/6 - 3\/(-6))\/(-6). What is the closest to -0.1 in j, -2\/7, 3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00129261 rounded to five decimal places?\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 7*m - 17. Let a be b(7). What is the greatest common factor of 272 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uup when three letters picked without replacement from {u: 3, p: 11, d: 4}.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 3\/70, 1\/9, -3, 0.2 in descending order.\nAnswer: 0.2, 1\/9, 3\/70, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/24)\/((9\/13620)\/(-3)).\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 331?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -6*2\/10. Let t = -3.95 - -4. Let w = 0.05 + t. Put c, -1, w in ascending order.\nAnswer: -1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115504004 (base 6) in base 3?\nAnswer: -212011102112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.75923ml to litres.\nAnswer: 0.07675923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v + 2. Let t be w(2). Let n(o) = -2*o - 7. Let j be (18\/2)\/((-12)\/8). Let q be n(j). Put -5, q, t in decreasing order.\nAnswer: q, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219 + 219. Let a(q) = -q**3 + 4*q**2 - q - 1. Let g be a(3). Sort y, g, -4 in increasing order.\nAnswer: -4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -1\/2 (c) -11 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -368? (a) 5 (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 53 = -4*o, -2*o + 32 = -6*w + 22 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 - 163. Let r = 0 + -4. Let g be r\/(-18) - (-32)\/18. Solve g*q - 1 = -3*x, -2*x - 7 = -5*q - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748*c**3 - 314*c**3 - 275*c**3 - 224*c**3 - 405*c**3.\nAnswer: -470*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115465391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8))\/((-1)\/4). Is 14 a factor of ((-4)\/(-6))\/(x\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225*h + 3*h**2 + 9*h**2 - 82*h + 5*h**2 - 18*h**2 to f*h**2 + d + i*h and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23502081 is divided by 7003?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 195\/45 + (-2)\/6. Suppose 16*p - o*p - 6 + 2*p**2 - 4*p**3 - 4 + 1 - p**4 = 0. What is p?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -452*z**2 - 12*z + 19. Determine x(1).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) + (3325\/(-114))\/(-35). Factor -4\/3*v + 0 - z*v**2.\nAnswer: -v*(v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 5. Let x(j) = -r*j + 3*j + 4*j. Let b(m) = -m**2. What is x(b(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2*y**3\/3 - 3*y - 1. Let p be m(4). Let d = 55 + p. Solve -w = 4*w - d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 3:08 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -723*b**3*v - 2*b**2 + b*v - 156 wrt b.\nAnswer: -4338*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(sqrt(114)*2 + sqrt(114)))\/(-2*sqrt(6)*6).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75422*d**4 - 345*d**3 - 388156684*d**2 wrt d.\nAnswer: -1810128*d - 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/6*k**3 + 2*k**2 - 100*k - 1. Let s(l) = 3*l. Give s(y(r)).\nAnswer: -3*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(2\/5)\/i*i)\/i))**(-11)\/(i*i**0)**(-8\/11) assuming i is positive.\nAnswer: i**(-323\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/69 and -44\/526723.\nAnswer: 1580169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - g = -868. Is 27 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 74 = -71 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*y - 19 = 0, -4*p - 1 + 3 = -2*y. Suppose -p*q - 5*q = -288. Calculate the highest common divisor of q and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43509 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -10.961, 8 in descending order.\nAnswer: 8, 4\/7, -10.961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a - 1331*a**2 - 2116*a**2 + 38*a.\nAnswer: -3447*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, -2\/7, -2, 704.\nAnswer: -2, -0.3, -2\/7, 0, 704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/28 + 3)\/(-3*45\/(-756)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*j + 382*j = -2130. What is the remainder when j is divided by 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.88 times 263.155\nAnswer: -757.8864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.98 - -17. Let g = 0.016 + m. Let d = g + -0.162. What is d rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x**(-1\/80)\/x))\/x)\/x)**(3\/23) assuming x is positive.\nAnswer: x**(243\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + 2*r**2 - 4*r**2)*(3 - 2 - 4) + 2*r**2 - 2*r + 3*r - r**2 + 3 - 3 - r**2 in the form o*r + h*r**2 + x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 9820*k - 68495.\nAnswer: -5*(k + 7)*(k + 1957)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 34401150 (base 6) to base 10\nAnswer: 1057818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Suppose 147*s = -c + 145*s - 9, 2*c - 38 = 4*s. Put 3, w, -4, c in descending order.\nAnswer: c, 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:35 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*b - 80 = -5*b, -4*v - 5*b + 100 = 0. Suppose -28 = -4*x - 5*h + 14, -4*h = 4*x - 40. Calculate the remainder when v is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etteutetetutxtffz. Give prob of sequence fuu.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4 + 6\/(-12). Suppose 2*v - p = 3, -45 = 2*p - 51. Factor -u*x**2 - 5\/8*x + 1\/4 - 9\/8*x**v.\nAnswer: -(x + 1)**2*(9*x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 476, 50, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16451*p*y**3 + 69*p*y - 5*y**2 wrt y.\nAnswer: -98706*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/4457?\nAnswer: -2\/4457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -20. Differentiate -r**2 - 4 + m + r**2 - 2*r**3 wrt r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10658 is divided by 3031?\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/10 + 6\/4. Suppose -r*j + 8*j = 35. Find the third derivative of -l**4 + 6*l**5 - l**2 + l**4 - j*l**5 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-1))\/3*-2. Let v be 11 - (a - (-3 + 3)). Suppose -18*i + 165 = -v*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*u - 128 = 0, 3*b - 7*b - 3*u = -256. Suppose 3*q - b = -22. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-522)\/(-15))\/((-4)\/20). Let h be (-54)\/(-36) + p\/(-4). Let y = -33 + h. Solve y + 22 = 5*o - 3*c, 2*c = -4*o + 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*m - 124 - 9*m - 13*m - 14*m as t + o*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o + 12*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*x**3 - 59 - 21*x + 58 + 102*x**3 - 21*x + 41*x.\nAnswer: 436*x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1078 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 707*d**2 - 97*d + 1213. Is i(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 483021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*u - 8 = 4*u, -2*x + 2 = -2*u. Let r(q) = q**2 + 4*q - 12. What is the remainder when r(-10) is divided by (-102)\/(-4) + x\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-3793.6607.\nAnswer: -102428.8389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*f - 385, -3*f + 3*r + 535 = 4*r. Suppose 4*l - 5*m = 802, 5*m - 8 = -l + f. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 783332 to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4309995, 4309947, 4309899, 4309851, 4309803?\nAnswer: 4309755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoqoqq. What is prob of sequence oooq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 695000 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.603000333 - -0.603. What is g rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3 + 48*f**2 - 140*f = 0.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289 - -298. Suppose z*h + 124 = 88. Sort h, -5, -2 in increasing order.\nAnswer: -5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202 - -1?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1099054 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94403.51l?\nAnswer: 94403510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p. Let l be (-3)\/(p - 3\/(-9)). Let q(z) = z**2 + 8*z - 4. Let f be q(l). What is the greatest common divisor of 40 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175320 and 126.\nAnswer: 1227240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 33 = 9. Suppose y*d = -23 - 19. Let l(c) = c**3 + 8*c**2 + 7*c + 4. Calculate l(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(500) - sqrt(500)*1) + sqrt(5) + ((sqrt(30)*-1)\/sqrt(6) + 3)**2.\nAnswer: -5*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 37 * 20.4\nAnswer: 754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1360455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21765178, 21765176, 21765174?\n\"Answer: -2*j + 21765180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/2*1)\/((-2)\/148) and 3 + -4 - (-132)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 3:00 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 303914*c**4*t + 7*c**4 - 2*c**3*t + c**2*t + 9*c**2 + c*t + 1924*t - 48 wrt c?\nAnswer: 7293936*c*t + 168*c - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -340, 0.4, -5, -8, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 1)*(-2 + 4 - 4)*(3*m + 0*m + 2*m) + (-7*m + 41*m - 20*m)*(12 + 21 - 9) in the form r*m + v and give r.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**2*q**2 - 85342*f**2*q - 2*f*q**2 + 7459*f*q + 2*q**2 - 2*q wrt f.\nAnswer: 10*q**2 - 170684*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125370862?\nAnswer: 2, 7, 11, 17, 409, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 6*p - 52500. Let z = 730 + p. Round z to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 10, 29, 102, -3 in increasing order.\nAnswer: -3, 1, 6, 10, 29, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -16\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eff when three letters picked without replacement from eeffoeekefffjjfeff?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 143368, 573447, 1290246, 2293765, 3584004, 5160963?\n\"Answer: 143360*i**2 - i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**5\/35 + 179*w**4\/7 + 64082*w**3\/7 + 11470678*w**2\/7 + 1026625681*w\/7 + 5. Factor s(a).\nAnswer: (a + 179)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55073?\nAnswer: 55073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:22 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-5)\/(-1))*(-20 - (-129)\/6). Let q be 12\/2 + 0 + 1. Let m(j) = -8*j + 5*j - j**2 - q*j - 9. What is m(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 7900230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 > 942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/8 + 25\/8. What is the closest to -34 in y, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {g: 8, t: 3, q: 1, v: 2, z: 1, m: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8095789.8 microseconds?\nAnswer: 0.0022488305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (5 - (-9 + 11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, j: 3, v: 2, k: 4, y: 4, e: 3}. What is prob of picking 1 y and 2 v?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 32. Suppose 582*j + 12324 = 108*j. Let i = z - j. Calculate the highest common factor of 75 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180092?\nAnswer: 2, 11, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0209657 - -0.0509657. Let l = 2.6 - 2. Which is the third smallest value? (a) l (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 bigger than -1392.2412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1282 - 1284. Put s, -16, -5 in decreasing order.\nAnswer: s, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 808.9580061.\nAnswer: 808.6580061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.67898 less than 97.5?\nAnswer: 37.82102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 3 + 2*z + 20. Let a be s(13). Let f(d) = -d**3 + 3*d**2 - 3*d + 4. Let p be f(3). Sort p, 9, a in descending order.\nAnswer: 9, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 2*k**2 - 2*k - 1. Suppose -15 = 2*a - 37. What is the smallest common multiple of a and i(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47580196070 rounded to the nearest 1000000?\nAnswer: -47580000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4827*x. Let n(s) = s. Calculate v(n(a)).\nAnswer: -4827*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3, 10, 2, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 28. Let b be 2\/2 - -2 - 1. Is b bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15409680.3ms in days?\nAnswer: 0.17835278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*w = -t + 16, 0 = -4*t - 5*w + 54. What is the highest common factor of 55 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 + -3541417727453.\nAnswer: -3541417727503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/7, 34, 8, 0.1, -9 in decreasing order.\nAnswer: 34, 8, 2\/9, 1\/7, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 30*d**2 + 6*d + 6. What is w(30)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 214*w + 21. What is the thousands digit of t(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 7) to base 4.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 79\/11 + 4\/(-22). Let r(a) = -a**2 + 8*a + 9. Let l be r(w). Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 30 = -4*y, -35*y + 37 = -37*y - 3*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*v + 3148 = -430*v - 13*v - 24942 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48921996 is divided by 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/120 + q**5\/15 + q**3\/2 + 31*q**2. Let u be b(-4). Solve 2*k = -v + u, 6*v - 3*v - 14 = -k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48600, 97206, 145816, 194430?\nAnswer: 243048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 8. What is b(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 11*m + 6. Let q(w) = w**2 - 2*w - 1. Give -2*p(b) - 11*q(b).\nAnswer: -3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -4 - (-9 + 22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12266094 < 12266094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(0 - (-2)\/6). Let r(w) = 3*w + w + n*w - 6*w. Let a(x) = -2*x. What is a(r(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 9, e: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19669 (base 12) to base 2\nAnswer: -1001000101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13688167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37915566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 2*t. Let o be y(4). Let r = -1 - o. Let q = 12 - 7. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1270372149 divided by 3\nAnswer: -423457383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 331691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-96))\/((-5194)\/(-20776)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 6, 29, 74, 147, 254, 401, 594?\n\"Answer: t**3 + 2*t**2 - 6*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -180*r**3 + 3*r + 336*r**3 - r**2 - 157*r**3 - 5. Determine y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/((-17)\/110 - (-5)\/30). Suppose 0 = -4*p + 4002 - w. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/8755033 and -49\/82.\nAnswer: 717912706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -6*c. Suppose g + c = -l, -l = g - 6*l - 22. Let n be (-3)\/9 - (-1)\/3. Solve -4*k + 2*k + 3*h - g = n, 5*k - 14 = -2*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -4*o**5\/5 + 807*o**2\/2 + 4487*o - 906. Differentiate b(w) wrt w.\nAnswer: -16*w**3 + 807","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 139259645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (392\/49)\/((-11)\/88)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**2 + 13. Let w(c) = -c + 1. Let j(o) = b(o) - 6*w(o). Let d be j(-5). Calculate the highest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 31, 20, 5, -14, -37?\n\"Answer: -2*n**2 - n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337 + 336.3. Let d = 4 + -4.3. Let r be 2 - 2*9\/8. What is the biggest value in r, j, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 45, 1.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 2.8. Let g be 3\/(18\/(-4)) + 14 + (-6292)\/462. What is the nearest to g in s, -5, 3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -507.6512 + -0.025\nAnswer: -507.6762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/8 + 195*g**2\/8 - 47499*g\/4 + 47085 = 0.\nAnswer: -215, 4, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - -134233?\nAnswer: 134323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 3, 7*a + 4*o = 1894. What is the least common multiple of a and 72?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjjmjjj. Give prob of sequence mjjm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b5 + -1?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501 - 3805 - 244 = -130*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(8\/5)\/(d**1)**(-11))**(4\/11) assuming d is positive.\nAnswer: d**(188\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 67 (b) 0.03 (c) -2\/11 (d) 35\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*n - 10, -3*n = -4*d - 7*n + 20. What is the highest common factor of d and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/(-18))\/((-3325)\/13965)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226239 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 20. Let g = 18 + y. Let s = -37 - -52. Solve s = f + g*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q. Let r(f) = 6*f**2 + 17*f - 17. Let b(i) = -2*i**2 - 6*i + 6. Let a(m) = -17*b(m) - 6*r(m). Calculate h(a(j)).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 6*r**2 - 161*r + 501. Let u be w(3). Solve -u = 3*x + 3*n - 0*n, 5*x + 3*n = -20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(35 - 35 - 2*y)*(-22*y - 124*y - 25*y) to u*y + h + r*y**2 and give r.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 2*i. Suppose -5*b = -3*l - 303, -i*b = -5*l + 12 - 137. What is the remainder when 176 is divided by b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -221 + 226. Which is the second biggest value? (a) s (b) 12\/13 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnnk when four letters picked without replacement from pwkpwpoownnwwwokwwk.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 780.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/10)*u)\/(u*u**(-9)*u*u))\/(u**(-3)\/u)**(-2\/31) assuming u is positive.\nAnswer: u**(1997\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1879088482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-420)\/50)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {r: 2, s: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 8*s. Let j = 31 + -19. Suppose 0 = -3*q + j - 0. Solve s = -q*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 6*r**2 - 12*r + 5. Let x be o(8). What is the highest common divisor of 111 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1886865 + 0.2.\nAnswer: -1886864.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 + 142*b. Let i(s) = -s**3 + 2*s**2 - s + 1. Give 2*i(a) + k(a).\nAnswer: -3*a**3 + 140*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x - 1383*x**2 + 1382*x**2 + 33*x)*((-4 + 1 + 5)*(-1 + 2 - 3) - 2 + 4 + 1)*(3*x + 0*x - 2*x) as z*x**3 + j + q*x**2 + o*x and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -343050420 (base 6) in base 13?\nAnswer: -13c9bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(2\/(-20))\/(82\/(-205))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 15*w + 75 = 0, -4*w - 7 = -27 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 63*v**2 + 126*v + 3. Give n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161352.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1821*t**2 - 148 - 173 + 321.\nAnswer: 1821*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -16*i - 9. Suppose 27*f - 12 = 30*f. List the prime factors of x(f).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - -2) + (23 + -20 - 7).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 4\/21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/11 or -8710?\nAnswer: -8710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -4*l + 5*y, 4*y = 4*l - 390 + 110. Let o be ((-68)\/l)\/((-1)\/(-11)). Is -210\/17 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 + 1. Let y(b) = 44*b**3 - b**2 - 54. Let l(m) = p(m) - y(m). What is the derivative of l(x) wrt x?\nAnswer: -129*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, 5 in increasing order.\nAnswer: 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14048 and 10913540.\nAnswer: 87308320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -57*f + 53*f. Let b(q) = 4*q - 23. What is the tens digit of b(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 282 = -y, 0 = -5*w + 4*y + 699. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -217.09 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -737156882*p + 247125250 wrt p?\nAnswer: -737156882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -526867, -526873, -526883, -526897, -526915, -526937, -526963?\n\"Answer: -2*j**2 - 526865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 45 (b) -4 (c) 1127 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 + -122. Suppose 0 = 3*d - 2*u - 14, -5*d + u + 6 + 8 = 0. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 + -153 - (1 + -2 + 0 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175644 and 11521.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 149 - 29. Let v = -19 + x. List the prime factors of v.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + f25bde?\nAnswer: f25bd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3 - 33*g**2 + 64*g**2 + 3 - 42*g**2. Let c(i) = 15*i. Determine r(c(u)).\nAnswer: -2475*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -20*m**2 + 3*m - 6. Let l be j(-3). Let y = l - -472. Suppose 3*o = 137 + y. List the prime factors of o.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 1. Let l be g(5). Suppose l = 5*t - 1. Solve 4*w + 2 = t*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 at least as big as 201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n**4 + 5*n**3 - 5*n + 14. Let a(s) = 14*s**4 + 4*s**3 - 4*s + 13. Let j(u) = -5*a(u) + 4*w(u). Differentiate j(q) with respect to q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -65708 = -65687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = j - 50, 3*x - 33*j = -17*j - 50 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-260)\/(-39)*(-6)\/(-10) - -1. Solve -q*m + 5*z = -20, -m - 14 = 3*m + 2*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.11 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**(-5))\/k))\/((k*k**(-9)\/k*k)\/k))\/(k*k*(k*k*k*k\/(k\/k**(1\/2)*k*k)*k*k)\/k*k*((k*(k*k**(-2\/3))\/k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 879 - 620. Suppose 0 = -0*z - 5*z + 185. Calculate the greatest common factor of h and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -39 + 35. Let l = -525 + 525. Sort l, y, -5, 18.\nAnswer: -5, y, l, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*i - 10 - 89, -i - 41 = p. Let k = i - -55. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 346\/(-4)*(-3 - (-14 - -7)). Let k = n - -379. Calculate the remainder when 126 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l - o = 45*l, -5*o = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 7038 and 7037 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3 + 22\/(-462).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57272138 and 26776584?\nAnswer: 2061796968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3827\/8536 - -49\/97. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 9:44 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, 1357, -3, 4 in descending order.\nAnswer: 1357, 4, -3, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 13. Let a(b) = b - 6. Let h(r) = -13*a(r) - 6*d(r). Let l(i) = 14*i. What is l(h(f))?\nAnswer: 70*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, r: 2}. What is prob of sequence uuuu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*m - 5, -5*m + 40 = -4*a - 5. Let o(k) = 2*k**2 + 8*k + 3. List the prime factors of o(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/((-13)\/(-26)). Solve i - t = -0*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*d - 1076 = -2135 - 1881 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24693 by -5.\nAnswer: 24693\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -22 + 8 - 2\/1. Is ((-62312)\/o)\/((-1)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-134 - 981*u + 266 - 132 - 669*u)*(2*u**2 - 4 + 4) as h*u**3 + n*u**2 + x*u + p and give h.\nAnswer: -3300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21654600 (base 7) to base 10\nAnswer: 1879248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -285, -686, -1247, -1968?\nAnswer: -2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55105 + 232891 = 102*i. Calculate the highest common divisor of i and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1931798916.00000048 - -1931798774. Let s = i - -142. Round s to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.84376 to two dps.\nAnswer: -8.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than -124.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31698331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11871.3 + 11883.3. Let h = -0.22 + -0.08. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002 (base 3) to base 12.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = v, 16 = 5*j + 5*v + 6. Suppose -j = 3*z + o - 17, -3*z = 4*o - 7. Solve -25 = z*n - 0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 take away 21490903?\nAnswer: -21490902.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193855343 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52532 + -52531. Let f = 0.1 + -1.1. What is the nearest to f in 0.81, m, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 6*s**2 - 3*s + 5. Let j be a(-5). Let m be ((-6)\/(-3) - 2) + 4. Sort j, 0, m in descending order.\nAnswer: m, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*0.16963\nAnswer: -0.0305334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -3, -1.4, -2\/3, -20, -0.5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(9\/8)\/(f*f\/(f\/(f\/(f\/f**6))))*(f*f\/(f**(13\/4)\/f))**(-26) assuming f is positive.\nAnswer: f**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 521 - 503. Suppose 10*w = -a + 38. Solve -w*x = -6*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + o**3 + o**3)*(-1899 + 361 - 793 - 1314 + 549).\nAnswer: 3096*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -17) + (3 - 14 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114.1 - 114. Sort -2\/11, g, 81, 0.2 in ascending order.\nAnswer: -2\/11, g, 0.2, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*c + 4314. Let d = c + -705. Solve -7*w = -0*w + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzpzzzzzzz?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 + 4*l + 3. Let h be (-5)\/(-15) - 7\/3. What is the units digit of d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15020142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974880\/189 + -5 - (-2)\/(-21) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 106*a**3 - a**2 + 2 - 1 + 133*a**3 - 3. Is 26 a factor of x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 1. Let r(u) = -u**3 + 6*u**2 - u + 7. Let s be r(6). Let f be a(s). Does -7\/6 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*((h\/(h**1\/h))\/h)\/h*h)*h**(-8)\/h*h*((h*h**(-1\/26)*h*h*h*h)\/h*h)\/(h\/(h*(h\/(h\/(h*h\/h**(3\/7))))\/h)) assuming h is positive.\nAnswer: h**(-449\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 25*h**2 + 6*h + 16. Let x(f) = 160 + f - 160 + f**2. Let b(w) = -p(w) + 6*x(w). Differentiate b(s) with respect to s.\nAnswer: -38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -574900 to the nearest one thousand.\nAnswer: -575000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-36))\/((-2)\/15). Solve 0 = 7*s + m + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 25*f**2 + 10.\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 226*d**3*g + d**2 - 47*d*g wrt d?\nAnswer: 1356*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 140\/8*90\/(-25). Let l be r\/(-35) - (-737)\/(-440). Factor 0*g**2 + 5\/8*g**4 + 0*g - 1\/2*g**3 - l*g**5 + 0.\nAnswer: -g**3*(g - 4)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 - 2 - 2*x**3 - 2 + 0 in the form r*x**3 + p + a*x**2 + t*x and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-75) + (-2 - (-152)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4050 divided by 687?\nAnswer: -1350\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 188*l**2 - 19*l - 33. Let n(g) = 63*g**2 - 7*g - 12. Let j(p) = 4*f(p) - 11*n(p). Let u(o) = 4*o**2. Determine j(u(b)).\nAnswer: 944*b**4 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2899, 0, -2 in descending order.\nAnswer: 3, 0, -2, -2899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2930\/(-15))\/(8\/12). Let v = d - -185. Does 27 divide (-3)\/(((-15)\/v)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (-20)\/(-4) + 29 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/9, -128, 0.2 in ascending order.\nAnswer: -128, 0.2, 5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 - 13\/(-6). Let y = s + -2. Suppose 12*t + 4 = 7*t - 2*r, 4*t - r - 2 = 0. What is the nearest to y in -2\/3, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/8 - 6\/(-4). Suppose 0 = -s*r + 4*r - 218. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.7 - -1.7. Let g = j + 15. Let c = g + -6.000006. Round c to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.538*-2740.\nAnswer: -1474.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 - 3*q. Let t(f) = 36*f**2 + 28*f. Let o(j) = -56*i(j) - 6*t(j). Let u(l) = -1 + 1 + 45528*l + 3*l**2 - 91057*l + 45529*l. What is o(u(r))?\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6158)\/(-175503))\/(6\/38). Factor -2\/9*g**4 - 4\/3*g - m*g**2 + 8\/9*g**3 + 0.\nAnswer: -2*g*(g - 3)*(g - 2)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*((f\/f**(-1))\/f*f)\/f)**(3\/22)\/(f**(1\/4)*f**(2\/23))**(-2\/45) assuming f is positive.\nAnswer: f**(-10697\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26074 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -417*c + 51 + 162*c + 61*c**2 + 151*c + 155*c - 52 to h + t*c + w*c**2 and give t.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28658*x + 14334*x + 14317*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 12*y**2 - 11*y + 12. What is z(13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6386487l to millilitres.\nAnswer: 638.6487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5740, 11485, 17230?\n\"Answer: 5745*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 - 3*l**3\/2 + 6*l**2 - 13*l\/2 + 9\/4.\nAnswer: -(l - 1)**3*(l + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 67389 = -s, 5*y - 87687 = -4*s + 80775. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 - (6 + -12 + (-6 - -11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*b - 10 + 10)*(-17*b + 2 + 11*b + 0) - 3*b**2 - 3*b**2 + 5*b**2 as i*b + l + h*b**2 and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24502 (base 7) to base 6.\nAnswer: 45421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5144\/4565?\nAnswer: -5144\/4565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 372\/(-3038)*7\/4.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/49 in -4, 0.2, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 442, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 0 (c) -7 (d) 402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-236)\/(-6)*(-102)\/4. Suppose -3*f - 4 = 5. Let c be (f - s)\/(2\/15200). What is c rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/400 and -173\/150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/429 in -1, 0.2, 0, -1\/5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/5 + (-12)\/20. Let f(h) = 349112 + h - 349113 - 2*h**2 - 4*h. Let m(a) = 3*a**2 + 4*a + 1. Calculate n*f(p) + 3*m(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 4*w**2 - 2*w**2 + 56337 - 56333 + 31*w**3 in the form s + h*w**2 + y*w**3 + c*w and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4255)\/(-69))\/((-1)\/(-6)). List the prime factors of v\/20 - (-2)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r + 73746977434 - 73746977434 - 3*r**3.\nAnswer: -3*r**3 - 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2076, 16711, 56464, 133893, 261556?\nAnswer: 452011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b - 65. Let y(w) = -140*w + b*w + 71*w. Calculate y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 30*k**2 + 148*k + 16. Let z be r(24). What is the highest common factor of 544 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*z + z - 442, -z = -2*w - 108. Let b = -6 - -11. Suppose -3*t = -b*t + z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12895*n - 7919*n + 12961*n as p*n + t and give p.\nAnswer: 17937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r - 16. Let p(h) be the first derivative of -10*h**3\/3 - 7*h**2\/2 + 3*h - 1. Let v(i) = 3*i**2 + 2*i - 1. Give r*p(k) - 14*v(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8893\/319 - -732\/29. Calculate the common denominator of h and 38\/175.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i - 4. Let b be i*(-2 + 1)*-1. Which is smaller: -5\/9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 510 and 42 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 417*h**2 - 2872*h - 1412. Calculate i(410).\nAnswer: -2232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -35479026*i**2. Let r(f) = f. Give w(r(d)).\nAnswer: -35479026*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Suppose 54 = 4*d - p*c, -2*d = -4*d - 5*c + 9. Solve 4*i - d = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1530 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40587491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 366917127 <= 366917127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-79)\/11 - (-26)\/143. Which is the closest to 0.1? (a) k (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(84\/(-18))*2972\/(-2). Let p = s - 1592. Suppose -5*k - 4*z + 643 = 0, 3*k + 2*k + z - p = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o - 7. Suppose 0 = l + l - 16. What is the remainder when x(-2) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrqrqqrqqr. What is prob of picking 2 q and 1 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -163*p**2\/10 - 1108*p\/5 + 462\/5.\nAnswer: -(p + 14)*(163*p - 66)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-8)*12\/1848*-7\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3206*k**4*l - 30*l + 33 wrt k.\nAnswer: -12824*k**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -3\/4*l**4 + 8*l + 0 + 3*l**2 + 0*l**3. What is the derivative of u(n) wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(5\/(-18)) - 2\/(-5). Suppose -t*c = z - 44, 0 = 2*z + 3*c - 67 - 26. Suppose 47*q - z*q + 77 = 0. What is the remainder when q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/30 and 1 + (745\/5)\/(-2*3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) 0 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 563 = 412. Let z = -192 + c. Solve z*d - 4*d + 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/((-3)\/1) + -3 - -57. Is u at least 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 105, 155?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p + 94 = -30*p. Let r(g) = 2*g - 9. Let y be r(6). Suppose 5*j - 6*z + 90 = -z, y*z = -5*j - 74. Put p, -2, j in descending order.\nAnswer: p, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s + 3*s - 4*s - 62 to f + b*s and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - 2 - (-5 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/18817777?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/290*5\/2. Suppose 4*q - 6 = 10*m, -5*m - q - 55 = -34. Which is the second smallest value? (a) h (b) -1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-9))\/((5\/4)\/(270\/216))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 103*q - 275. Let b be v(-48). Let s(k) = k**3 + 3*k**2 + k + 1. Let i be s(3). Solve b*g + 3 = i*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 + 1 + -8*7\/14 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-636*f + 65 + 320*f + 315*f)*(1 - 3 + 1).\nAnswer: f - 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 8*l - 7. Let n(t) = -9*t - 15. What is the remainder when n(-3) is divided by j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -59*y**2 + 189*y**2 - 58*y**2 - 65*y**2. Let m(p) = -p**2 + 17*p. What is v(m(f))?\nAnswer: 7*f**4 - 238*f**3 + 2023*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4)*8\/(-6). Let z(p) = 2*p + 5. Let i be z(5). Let w be (-5)\/i - (-14)\/78. Which is the third biggest value? (a) u (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 441\/8 or -25?\nAnswer: 441\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10793, 21413, 31983, 42503, 52973, 63393?\n\"Answer: -25*c**2 + 10695*c + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/7208895 and -221\/32556300?\nAnswer: 1009245300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 10:57 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14284103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/6, 3, 4049?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 6*s - 2*w, 4*s + 4 - 24 = 2*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 8*k**2 + 7*k - 14. Let s be o(5). Find the common denominator of s\/(-88) + -1 - 45\/(-90) and -115\/14.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 11*h**2 - 53*h - 312. Give v(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggxd when four letters picked without replacement from {x: 3, l: 3, d: 1, g: 7}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(209))\/sqrt(11) + sqrt(114)\/sqrt(6) + sqrt(19) + 4)**2.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/433, -1, 2\/5, -2.8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((14*x + 4*x + 17*x)*(3 + 2*x**2 - 3) + x**2 + 2*x**3 - x**2)*(488 - x - 487 - 2*x) as f*x**2 + k*x**3 + p*x + t + o*x**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 48268 and -0.2.\nAnswer: 48267.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3*d + 7*d)*(11 - 11 + 6*d)*(-8 - 9 + 0 + 1 - 1 - 2 + (-2 + 2 - 1)*(3 - 3 + 2) - 2 + 2 - 1 + (5 - 2 + 0)*(2 + 3 - 3) + 0 + 3 - 5).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520064586 divided by 260032293.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((28\/2)\/7)\/(10\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*i + 195 = -65*i. Suppose 3*w - 5*k - 759 = 0, 5*w + k + i = 1276. What is the remainder when w is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5662*f + 7. Is x(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45583723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -112133 (base 4) to base 3\nAnswer: -1222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) - (-3550004 - -4). Round h to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -147, -209, -251, -267, -251?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2*p**2 + 3 + 0*p**2 - 2.\nAnswer: 2*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n + 41 - 41)*(-n + 3*n + 0*n) + (0*n - n + 0*n)*(3 + 3 + 2)*(-4*n - 3*n + 5*n) to the form v*n**2 + a*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -2 (b) 1\/7 (c) 0.8 (d) -511\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3\/2*f**3 + 3\/2*f**2 + 6*f - 6 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58507, -117874, -177253, -236650, -296071, -355522, -415009, -474538?\nAnswer: -534115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 446443?\nAnswer: -446451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51422299129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/2 - r**4\/12 + r**3\/6 - 3*r. List the prime factors of w(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3784\/(-301) - (46 - 56)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, s: 15, v: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -b38146b?\nAnswer: -b381462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -209, 5, -2 in ascending order.\nAnswer: -209, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-143)\/22)\/(18135\/329220).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 297387.55 rounded to the nearest 100?\nAnswer: 297400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16947 is divided by 97.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m\/(m\/m**(1\/5)))*m)\/m)\/(m**7*m))\/(m\/(m*((m\/(m\/m**(2\/5)*m))\/m)\/m)*m**(-2\/9)) assuming m is positive.\nAnswer: m**(-386\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 4. Let m(y) = -y**2 - 1. Let l be (-6)\/(-2) + 2 - 2. Suppose 40 = 5*s - 5*j, 24 = s - l*j + 8. Determine s*m(n) - z(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*z - 32 = 39, 68 = 4*r - 4*z. Let l = r - 17. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.92 - 0.07. Let v = 1.8494032 - d. What is v rounded to 5 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 208303*u + 18122362. What is v(-87)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -2561*q**6\/6 - 94*q**2 + 6*q + 2186. Find the second derivative of f(s) wrt s.\nAnswer: -51220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjgdt. What is prob of picking 1 d and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1764?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 10*v. Suppose v*b - 306 = -3*b. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2719932477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5515 (base 6) to base 4.\nAnswer: 103313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b. Let d be r(3). Let u be (0\/d)\/(-1*2). Find j, given that -j**3 + 0*j**2 + j**2 + u*j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:28 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 3*t - 1. Suppose 5*u - 2 = 4*l, 2*u - 2*l + 6*l + 16 = 0. Let c be g(u). What is the highest common factor of c and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.03, 1\/10, 0.2, 38 in ascending order.\nAnswer: -0.03, 1\/10, 0.2, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88990637*q**4 + 34561*q + 45?\nAnswer: 1067887644*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*((z - 2*z + 3*z)*(4 - 7 + 4) - 33*z - 30*z + 5*z).\nAnswer: -112*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004073 to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 51*z - 16. What is the lowest common multiple of a(25) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 10) in base 9?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6808 and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 0 - 12) + -11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/4 - 8*f**2 + 239*f\/4 + 5049\/2 = 0. Calculate f.\nAnswer: -27, -22, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by -2659.\nAnswer: 109\/2659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 7:14 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 3800709.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4331, 8976, 13621, 18266, 22911?\n\"Answer: 4645*x - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 9:33 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107.1 - 107.09998447. What is s rounded to 7 decimal places?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -650*i**2*u**3 + 974*i**2*u**2 - i**2*u - 4*i**2 - 95*i*u**3 - i*u**2 - 2*u**3 - 2*u wrt u.\nAnswer: -3900*i**2 - 570*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 13 - 2*c**2 + 0 - 2*c - 2*c**2 + 2*c + (-2*c + c + 0*c)*(-3*c + 4*c + c) - c**2 - 3*c + 3*c - 28*c**2 + 9*c**2 - 6*c**2.\nAnswer: -31*c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2624\/10 + (-228)\/570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + 2*j**4 - 4*j**4)*(3 - 2*j - 3) - j**5 - 2*j**5 + 6*j**5 + 19*j - 11*j + j**2 + 2 - 3*j**5 - 10*j.\nAnswer: 2*j**5 + j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.98 + 0.02. Let t = 25 - 29. Let q be (-1)\/(0 + t\/16). Put y, q, -1 in descending order.\nAnswer: q, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -39 (b) -0.075 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1860233 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4570*d*g**3 - 3*d*g**2 - 30896*d*g - 2*g**2 + 1 wrt g.\nAnswer: -27420*d*g - 6*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14205 = -65*f + 37275. What is the least common multiple of 432 and f?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 3*m + 57 - 53, 4*o + 4*m - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, g: 1, d: 1, y: 1, z: 1}. What is prob of picking 3 g and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*m + j, m - 9 = -2958*j + 2957*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -845 - -2993. What are the prime factors of w?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 6. Let o be q(5). Let r(y) = y**2 + 12*y - 85. Let z be r(-17). Suppose o*w - 76 = -z*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 6*y - 2. Let r be b(6). Let u be -64 + (-3 - -3 - r). Let z = u + 120. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1204 - 22?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 4. Let n(u) = 2*u + 5. Let f(d) = -6*m(d) + 5*n(d). Let b be f(1). Solve 2*y + b*i + 23 = 0, 7*i = -5*y + 2*i - 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 + (-94856)\/28882. Let q = -3\/2063 + s. Find the common denominator of (0 + (-8)\/30)*(-1 + 41) and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76))**2*6.\nAnswer: 24*sqrt(19) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 7186982?\nAnswer: 388097028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3760)\/200*10\/(-4). What is the third derivative of -24*s**2 - 25*s**2 + t - 21 - 26 + 6*s**3 wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:15 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 25 = -5*x, 3*x - 4*q - 56 = -18. Factor 0 - 15\/2*c**2 - 3\/2*c**4 - 3*c - x*c**3.\nAnswer: -3*c*(c + 1)**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.4 (c) 4320\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + sqrt(108) + 0 - (sqrt(192) + sqrt(3))) + -3)**2*6.\nAnswer: -108*sqrt(3) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-70)*441\/77. Suppose -4\/11*k**4 + 4\/11*k**2 + 0 - 18\/11*k**3 + 0*k + w*k**5 = 0. Calculate k.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006084 rounded to 5 decimal places?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 - -134. Calculate the greatest common factor of 7 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.37064 rounded to 1 dp?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 192*m**2 + 12141*m + 252050.\nAnswer: (m + 50)*(m + 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. Let y be (21\/7)\/(d\/1). Suppose 5*o + 55 = -c + 6*c, y*c - 5 = -4*o. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 6*o + o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rje when three letters picked without replacement from {r: 1, s: 1, e: 4, v: 2, j: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/20*-2 - 784\/(-10). Let m = j - -60. Let w = -41 + m. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 105*p**3 + p**2 + 227 wrt p.\nAnswer: 315*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/9 - 1142*g**3\/9 - 2290*g**2\/9 - 382*g\/3.\nAnswer: 2*g*(g - 573)*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 + 3*l**4 - 6*l**4 + 5*l**4 + (3*l**4 + 0*l**4 - 2*l**4)*(5*l - 2*l - 4*l) + 3*l**5 + l**2 - l**2.\nAnswer: 3*l**5 + 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - n - 1. Let i be -4*(-12)\/(-16) + 2. Give g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 1 - 1. Let h(r) = -4*r**2 - 3. Let j(g) be the first derivative of 3*g**3 + 7*g - 14. Let i(l) = -7*h(l) - 3*j(l). Calculate i(q(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 5*b - 29, -8253*l + 19 = -8258*l + b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 4:27 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420150 times 0.4?\nAnswer: -568060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 + 311*r + 21*r**2 - 311*r to d*r**2 + q + g*r**3 + t*r and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let j(h) = -171330492*h. Calculate j(y(i)).\nAnswer: 342660984*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -13*i + 13. Let p(l) = 26*l - 23. Let d(g) = 11*b(g) + 6*p(g). Suppose -2*v - 28 = -4*m + 2*v, -v - 2 = 0. What is the tens digit of d(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (2679\/(-846) - 1\/(-6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.87172589 to two decimal places.\nAnswer: -2.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 468081\/28 - 16715. What is the common denominator of j and (52\/(-13))\/(-400)*-39?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Let p = 217 - 212. Find the third derivative of -5*l**v - 3*l**p + 5*l**2 + l**2 wrt l.\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = -4*z, 3*x + 234*z - 233*z + 7 = 0. Let j = -0.06 + 0.1. Let b = 2 - 1. What is the smallest value in b, j, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*y**3 - 25*y + 55*y + 58*y.\nAnswer: 180*y**3 + 88*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + 0*t**3 - 2*t**4 + (-18*t**2 - 6*t**3 - 2*t + 7*t**3 - t)*(0*t - 2*t + t + 3 - 3*t - 3 - t + 2*t - 2*t + (t - 5*t + 6*t)*(-3 - 4 + 5)).\nAnswer: -11*t**4 + 162*t**3 + 27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/425)\/(22638\/64680)\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/((-525)\/6)*-2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a6 (base 11) in base 9?\nAnswer: -4424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -7) + -1 + 18 + -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145778 is divided by 20761?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 5*f**2 - 4*f + 3. Let k be m(-4). Suppose 4*t = -5*z - 46 + 487, 297 = k*t - 3*z. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6*(-31)\/(-28551). Is -1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112366 is divided by 296.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Calculate the remainder when 17 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15566 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 309 (b) -92 (c) -8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18855395 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94475 divided by -18895.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 424\/(-6)*3\/10. Let s = m - -21. Sort 1\/2, s, 0.3 in ascending order.\nAnswer: s, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5563 is divided by 169.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 43*g + 1638. What is z(31)?\nAnswer: 1266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*u + 1. Let a = 2 - u. Calculate the smallest common multiple of 11 and 0 - -9 - 3\/a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1466 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 816 + -798. Let s = 14 - l. Let j = -0.5 + 0.9. What is the second smallest value in s, j, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l - 2. Let x be ((-4)\/6)\/(2\/(-6)). List the prime factors of r(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/28 + 344*t**3\/7 + 177504*t**2\/7 + 3*t - 531. Factor l(q).\nAnswer: 3*(q + 344)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/18)\/(-6*3\/(-216))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8140 and 2.235.\nAnswer: -18192.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 581 and 913.\nAnswer: 6391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 7*o**2 + 4*o - 36. Give f(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107962*i = -107945*i - 204 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -3, -5, 5, 2, -1, -8263 in ascending order.\nAnswer: -8263, -5, -3, -1, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/12 - ((-2)\/(-5) + (-95488)\/120)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 240 - -923c?\nAnswer: 947c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4*q + 2)*(3*q - 4*q - q) + q + 2*q**2 - q as u*q + p + v*q**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:22 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 11:18 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/(-10) + 492\/(-984)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y + 32. Let p(w) = -w + 11. Let g(v) = -11*p(v) + 4*s(v). Let b be g(5). Suppose t + o = 22, -b*t + 0*o + 5*o + 30 = 0. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 816*r**3 - 5*r**2 + 20*r. Let y(v) = 19584*v**3 - 119*v**2 + 476*v. Determine 119*c(d) - 5*y(d).\nAnswer: -816*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 21580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Let b = z + 2. Let n be 3\/(b\/(-2)) + 2. Solve -3*c + 5*c + 8 = n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -185496, -185490, -185480, -185466, -185448, -185426, -185400?\n\"Answer: 2*m**2 - 185498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-183)\/51606)\/((-1)\/12) + (-209050)\/(-2350).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 8*k - 4*k)*(6*k**3 - 2*k**3 - 3*k**3)*(4*k - 4*k - 2*k).\nAnswer: 22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1539) + (sqrt(1539)*2)**2) + -5.\nAnswer: -6161 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1344 + 372 = -2*w. What is the greatest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 815233811 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = -3*p, -2*p - p + 8 = -2*m. Let n(i) = 6*i + 129. Let o be n(-21). Solve p*s = o*y + 3*s - 10, -45 = -5*y + 4*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 935632454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 6) to base 7\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 1. Suppose -20 = -j + d*j. Let v = 211 + -1897\/9. Put v, j, 3 in decreasing order.\nAnswer: 3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*x - 28*x - 32*x - 26*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = j + 1, -16*j + 14*j + 13 = d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -79.08 and 837.\nAnswer: 757.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -22*f + 36. Let v(z) = -8*z + 12. Suppose -5*r + 9 - 34 = 0, -24 = -3*w + 3*r. Let u(j) = w*k(j) - 8*v(j). Give u(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -843458, -843454, -843448, -843440?\nAnswer: -843430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/160?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -3 + 4*r - 10*r**2 + 25\/3*r**3. Factor y(i).\nAnswer: (5*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 8c?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*c + x + 2*x, -3*c + 3*x + 12 = 0. Let m(u) = -6*u**2 - 1 + c*u + u + 0*u + u**3. Calculate the smallest common multiple of 5 and m(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 13. Suppose 25*c - 11*c = 42. What is the smallest common multiple of c and k(0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 616*s. Let r(n) = -120*n**2. Calculate i(r(b)).\nAnswer: -73920*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-2 - -3))\/2. Let t = 0 - l. Let h(b) = 2 - 1 + t*b**2 + 0*b**2 - 11*b**3. What is h(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19748750 and 1875?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603004 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7*f = -16. Let d(s) be the third derivative of 1\/6*s**3 + 0*s + 3*s**2 - 7\/24*s**f + 0. Let q(r) = -10*r + 1. Calculate -7*d(m) + 5*q(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4, -5*x + 87 = 3*c - 26. Suppose -i - 65 = -6*i. What is the remainder when c is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 65.72.\nAnswer: 65.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18621 is divided by 514.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {g: 2, y: 2, u: 1, a: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**2 - p + 16. Let f(m) = 77*m**2 - 85*m**2 + 17 - 1 - 2*m + 0. Let c(a) = 4*f(a) - 5*v(a). What is the first derivative of c(q) wrt q?\nAnswer: 16*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 61282943.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983.4903 millennia to years.\nAnswer: 983490.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1052256 and 20\/1243.\nAnswer: 11574816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*v - 78, 5*v + 48 = 3*f + 8*v. Calculate the least common multiple of 6 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 11 (b) -0.3 (c) -15\/11 (d) -3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975547 is divided by 203.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-148 - -150)\/((-7)\/(-2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -12, -0.1, 4, 549?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (406*o + 403*o - 806*o - 63)*(-7*o**3 + 0*o**3 + 4*o**3)*(-4*o + 5*o - 2*o).\nAnswer: 9*o**5 - 189*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from {p: 3, q: 3, k: 10, i: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -29. Suppose x - 2*u - 1 = -3, 5*x - 4*u + 4 = 0. Suppose -2 + x = k - r, k + 18 = 5*r. Calculate the highest common factor of q and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -1, 6, -6\/5, 23.9.\nAnswer: -6\/5, -1, 0.4, 1, 6, 23.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 53*r**2 - 4*r - 1. Suppose 0 = 3*g + 3, 4*b - 2*g - 178 = -0*g. What is the remainder when m(-2) is divided by b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + p + 1 - 2 - p - 4*p + 3*p + p + 3*p - 5*p + (3 - 5 + 0)*(-p + p + 4*p).\nAnswer: -10*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9857 and 121716.\nAnswer: 131573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253933 is divided by 495?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14488*p**2 + p + 3692.\nAnswer: -28976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d**2 - 2*d**4 + 2*d**2)*(-4*d + 4*d + 2*d) + 26*d**2 + 35*d**5 - 26*d**2 - 2*d**5 + d**5 - d**5 - 2*d**5 + 2*d - 2*d)*(2 - 5 + 1).\nAnswer: -54*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 119. Let b(k) = 4*k + 3*k + x*k - 34*k. Let w(s) = -2*s. What is b(w(c))?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from cxcacacxxxcc?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 15*l**2 + 47*l - 12. Let c be v(4). Factor 1\/3*r**4 + c*r + 0 + 0*r**2 - 1\/3*r**3.\nAnswer: r**3*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + 3*g + 109, 10 = 5*g. Let i = j + -23. Let z be 0*2\/(i - 4). Solve -4*f - 1 - 19 = z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 32 (b) 3.2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.145941 millilitres in litres?\nAnswer: 0.004145941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302334 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134993\/90 - -1500. Let w = -2\/131923 + 132023\/6596150. Find the common denominator of w and k.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 + -121 + 17 + 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 9254022?\nAnswer: -9254026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, u: 6, c: 2, o: 2}. What is prob of sequence nuuc?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 6:24 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 346839670 divided by 34683967\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 + -139. Suppose -4*m = 3*i - 12, 2*m + n = 4*i + 5*m. Solve 2*k = i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - i**3 - 2*i**3 + (0*i**2 + 0*i**2 + 7*i**2)*(0*i + i + 0*i) + i**3 - 2*i**2 + 2*i**2 - 2*i**3 - i**3 + 2*i**3 + (2 - 2 + 3*i**2)*(i - 3*i + i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*m + 2*v - 10, 2*m - 7 = -v. What is the third derivative of -66*r**2 - 94*r**m + r**3 + 28 - 2*r**5 - 38 + 9 wrt r?\nAnswer: -120*r**2 - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-124)\/(-198) - (-11)\/(-484)*8. Put x, 1\/23, -0.4 in ascending order.\nAnswer: -0.4, 1\/23, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*m + 3*a, -a = 2*m + m - 38. Let s(f) = f - 8. Let y be s(m). Suppose -5*k = -2*r - 29, y*r = -2*k - 3*k + 47. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 11*n**2 + 17*n - 6. Give j(-11).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:10 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -4*w**3\/9 + 2*w**2\/3 - 9. Let z(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5364 at least as big as 5277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15227015 (base 9) in base 6?\nAnswer: 430220235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176269 and 359.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 99.5. Let h = -25 + y. Which is the second smallest value? (a) h (b) -0.02 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 8584918*v\/3.\nAnswer: 2*v*(v + 4292459)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 + g**2 + 5*g - 12.\nAnswer: -(g - 6)*(g - 2)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2 + 2 - 2*j. Let f(i) = -5653 + 2826 + 3*i + 2827 + 3*i. What is c(f(s))?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31256049 is divided by 1197?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 281 (b) 6\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 326, 258, 142, -28, -258, -554, -922, -1368?\n\"Answer: -k**3 - 18*k**2 - 7*k + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383321 is divided by 72806.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4) + 2 + -3 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63\/5 in -3, 22, -2\/51, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6071, 4752, 3443, 2150, 879, -364, -1573, -2742?\n\"Answer: n**3 - n**2 - 1323*n + 7394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1353, 1357, 1373, 1407, 1465, 1553, 1677?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -69\/345365 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 32*t**2 - 13*t**2 + 0 + 2. Let r be m(-5). Suppose j + 288 = -r. Round j to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -i - 90. Suppose -z - 15 = -2*k, -4*k - 5*z = -2*k + i. Let u(y) = y**3 - 4*y**2 - 3*y - 7. What is u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5535*a**3 + 7176*a**3 + 2956*a**3.\nAnswer: 15667*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -8713\/7, 0, 5\/4, -0.5 in decreasing order.\nAnswer: 5\/4, 0.2, 0, -0.5, -8713\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -200211013 (base 5) to base 14\nAnswer: -1673a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38175695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*i + 2 = -194*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -10 - -17 - 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-4))\/(1\/11393) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u - 143. What is the units digit of s(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1008424 * 2.\nAnswer: 2016848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 81*k**3 + 0*k**2 - 25*k - 78*k**3 as s*k + b*k**2 + v + d*k**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 347?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 1420570779 and 1.\nAnswer: 1420570780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = 9. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 780, 785, 780, 759, 716, 645, 540, 395?\n\"Answer: -l**3 + l**2 + 9*l + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196.38 - -0.38. Let f = 71 + w. Let a = -123 - f. What is the nearest to a in 1\/4, 0.5, -15\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246748 is divided by 227.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3099 - -452. Let n = -1844 - z. Is n a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -28*b + 9. Let h be g(-2). Let m = h - 42. What is the remainder when 90 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9034 + -2683. Suppose -3*b + q = -8*b + k, -5*q - 1265 = -b. What are the prime factors of b?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.1. Let f = 82.9 + -83. What is the closest to f in q, 1\/2, -2\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 11.459?\nAnswer: -10.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 946*p - 949*p - 2*s, -2*p + 4*p = -2*s - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9297*f**3 + 9297*f**3 - 80*f - 42*f**5 + (3*f**4 + 2*f**4 - 6*f**4)*(-4 - f + 4).\nAnswer: -41*f**5 - 80*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14628 = -4*w - 14012. Calculate the remainder when 1373 is divided by w.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737256721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18550821.\nAnswer: 3, 19, 325453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.7. Let m = -0.45 + x. Let q = m + -5.05. What is the second smallest value in q, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4157 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: Suppose 12*j - 30 = 14*j. What is the remainder when (-2 - j)*(-7)\/21*-9 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 + 334*i**2 - 671*i + 336 = 0. Calculate i.\nAnswer: -336, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2*k + 366269*g**2 + 4*g*k**2 + 94*k**2 + 8*k - 599 with respect to g.\nAnswer: 6*g*k + 732538*g + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(4) - -3*sqrt(4)*-4) - -5*(sqrt(50) + 3))**2.\nAnswer: 8220*sqrt(2)\/11 + 177377\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21226934449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20\/7*x**3 + 0 - 192\/7*x**2 + 2\/7*x**4 + 0*x = 0. Calculate x.\nAnswer: -16, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 3*n - 4. Let x(b) = -b**3 - 13*b**2 - 19*b + 27. Let w be x(-11). Suppose 0 = -4*y + 6*y - 6. Let g = w + y. What is m(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 - 12*x - 4. Let t(z) = 14*z**3 - 2*z**2 - 36*z - 11. What is 11*g(r) - 4*t(r)?\nAnswer: -r**3 + 8*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0102 and -8?\nAnswer: 7.9898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555 = -9*d + 2*v + 764, -3*v = -2*d + 49 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/3, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/19 + 136*n**3\/19 + 616*n**2\/19 - 2784*n\/19 - 6912\/19 = 0.\nAnswer: -6, -2, 4, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0431 - -2.9431. What is the closest to q in 1\/5, 4, -1, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 796.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - (-2 + 3 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (20 - -1) + (-137751)\/1887?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0369247827 to five decimal places.\nAnswer: -0.03692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*o = -9, 0*o + 12 = -4*o. Let b = m + -2. Let u(q) = -7*q**2 + 4*q - 4. Let n(i) = -i + 1 - i**2 + 0*i**2 + 2*i**2. Calculate b*n(x) + u(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -374, -365, -376, -413, -482?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 16*q**2 - 5*q - 45. Suppose 2*c = -2*a + 114, -3*a + 0*a - 5*c + 165 = 0. What is the remainder when a is divided by t(-16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42956*w**3 + 2*w**2 + 42959*w**3 - 2*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 950\/(-1140) - 5\/(-6). Solve -16*u + 21*u = 2*c + 4, j = -3*c - 3*u - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 8. What is y(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 8*i**2 - 10*i - 11. What is the remainder when n(-8) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*i**4*w - 1340*i**4 - 2*i**3*w - 10*i**3 - 301*i**2*w - 24*i**2 - 64*i*w + 2*w wrt i?\nAnswer: -528*i*w - 32160*i - 12*w - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y - 24 = 0. Let z(v) = -v**2 - 49*v - 556. Let d be z(-31). Sort y, d, -5 in decreasing order.\nAnswer: y, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 11 - (-15 + (9 - -2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllk when four letters picked without replacement from lklkkkklkklkkkkkklk.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 213*o**3 + 6*o**2. Let y(k) = 211*k**3 + 5*k**2. What is -5*s(z) + 6*y(z)?\nAnswer: 201*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(0*l + l - 3*l) + 3*l - 6*l + 2*l + ((4 - 1 - 5)*(-l + 2 - 2) + l + 2*l - 2*l)*(-3 + 2 - 1).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 15*b**2 + b + 2. Let u be m(-15). Sort -44, 3, -3, u.\nAnswer: -44, u, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g - 11. Sort 1, g, 2, -1 in descending order.\nAnswer: 2, 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 506\/63?\nAnswer: 506\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10539310 and 295238?\nAnswer: 6866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-1)\/(-6)*-3. Suppose 513 = 3*t - a - 2*a, -t - 3*a + 151 = i. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 322166425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 998533733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 12*l - 161. Let r = 40 - l. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 155*g**5 + 7625*g**4 + 15885*g**3 - 4805*g**2 - 16040*g - 2820 = 0.\nAnswer: -47, -2, -1, -6\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(133)*5)\/sqrt(7) - (sqrt(19) + (sqrt(1900) + sqrt(1900) + 5)**2 + 5).\nAnswer: -7630 - 211*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Let j = -0.3 - -0.2. Let f(i) = -i**3 + 14*i**2 - 15*i + 21. Let v be f(13). Which is the nearest to j? (a) -0.3 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 108*w + 6 + 36.\nAnswer: 108*w + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 207 in -81, -327, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(4*(-8)\/(-256))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/165 and 29\/2505?\nAnswer: 27555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -48) + -7 - (-242 + 275).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -79527.\nAnswer: 26\/79527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(0 + sqrt(80) - sqrt(80))*5)**2 - -4*(sqrt(45)\/(2*sqrt(36))*1)**2.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5555073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(304) + -1.\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, y: 2, u: 3, x: 1, p: 4}. What is prob of sequence nny?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1235478 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(7)*4 + sqrt(7) - (sqrt(252) + -1 + sqrt(252)))*1)**2.\nAnswer: -14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.089 - -187485103.\nAnswer: 187485103.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -1 + 0*y**3 + 6\/5*y**5 + 0*y + 3*y**2 + 0*y**4. Find the second derivative of i(h) wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**5 + 614896*s**3 - 11*s + 3472 wrt s?\nAnswer: 60*s**3 + 3689376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtwttttwtwwtwttttt. Give prob of sequence twt.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g - 15*g - 2*g - g**2 + g + 1. Calculate y(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4840)\/(-88))\/55)\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 6. Let s be d(0). Let f be (-28)\/s*(-2)\/(-12)*9. Does 20 divide (66\/(-6) - 4)*(f - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -721 - -15143\/21. Which is the second biggest value? (a) w (b) 812 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (44\/(-36) - 1). What is the third biggest value in 0.04, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 0.01.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38 - 70)\/54)\/(1*8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1393 - 0.1\nAnswer: -1393.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - -0.41. Let b be ((-526)\/136 - -4) + 0. Let t = 2\/17 + b. What is the smallest value in j, -2\/19, t?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.68, -442, 2, 2\/13.\nAnswer: -442, -7.68, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 5*f**2 + 3*f - 5. Suppose 9*p + 4 = 49. Let m be z(p). Suppose -182 = 3*g - m*g. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**3 + 9*s**2 + 2049*s - 1026 = 0. Calculate s.\nAnswer: -18, 1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137 - -150222988433.\nAnswer: 150222988570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + n**2 - 6*n**2 - n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3172 (base 16) to base 14\nAnswer: 4882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 575, 1557, 2539, 3521, 4503?\n\"Answer: 982*c - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28, -62, -110, -178, -272?\n\"Answer: -b**3 - b**2 - 24*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 417\/1 - 2 - -3. Let o = -238 + a. Let j(k) = 2*k**2 - 4 - o*k + 186*k + 11. Let s(u) = -u**2 - 2*u - 2. Give 2*j(h) + 7*s(h).\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 20*b**2 - 19*b + 12. Let u be g(19). Let z be 1*(-4)\/u*-6. Sort z, 5, 4.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000434916 to seven decimal places.\nAnswer: -0.0000435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**4 + 4*z**3 - 4*z**2 - 15*z - 6. Let a(u) = 2*u**4 + 3*u**3 - 3*u**2 - 14*u - 5. Let j(h) = 4*a(h) - 3*i(h). Differentiate j(o) wrt o.\nAnswer: 8*o**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246344758.\nAnswer: 2, 11, 11197489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -59. Let o(s) be the first derivative of 0*s**c - 3 - 1\/4*s**4 + 0*s + 1\/3*s**3. What is the third derivative of o(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4920 + 4975. What is the remainder when 1151 is divided by g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -1 (c) -9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/2)\/(26\/(-62621)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*-3*sqrt(112)*4)**2.\nAnswer: 3628800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 2*h**2 - h - 2. Let v = 64 - 62. Suppose -4*s + 18 = -2*u, 0*u - v*u - 3 = s. Suppose s*a = 4*a - 3. What is d(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 0*l**6 + 0 + 0*l**3 - 1\/30*l**7 + 1\/8*l**4 + 0*l**5 + 0*l + 8*l**2. What is the second derivative of a(q) wrt q?\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 19*s**2 - 25*s - 8. Let u be k(-20). Let w = u - 92. Suppose 8*q - 4*q - 12 = 0. Solve w = -0*g - q*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1076 - -968. Which is the nearest to -1? (a) -2\/15 (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*4)\/sqrt(11) - (sqrt(3000)*-2 - sqrt(30)))\/(-1*-2*sqrt(250)*-5).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2444*b**4 - 526118 wrt b?\nAnswer: 9776*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95642?\nAnswer: 2, 17, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-3)*(21 - 18). Suppose o*l = 11*l + 350. Suppose m - l = -4*m. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -140. Let d(q) = q**2 - 9*q + 2. Let f be d(8). Is 19 - -6*i\/f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*x + 1 + 4, 4*x = -3*a + 26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x. Let s(t) = 5*t**2 - 1. Let c be s(-1). Suppose x = 2*m + c - 0. Is -2 not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*p - 192*p - 14 = -2*y + 4*y, -11*p - 4*y = -16*p + 52 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 18742776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u - 13. Let d be v(8). Let f be 2\/(3 - d\/(-25)). Calculate the common denominator of 0\/(f + -1) - (-102)\/(-10) and -50\/17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8*g. Let o(b) = -15*b. Let x(v) = 6*o(v) + 10*q(v). Let f(z) = -19*z. Let y(t) = -3*f(t) + 7*x(t). Let m(w) = 4*w**2. Determine m(y(p)).\nAnswer: 676*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/25 of a second?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 98\/(-7) + 4\/(-2). Let f be q\/(-28)*(-7)\/(-2). Calculate the greatest common divisor of 3 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {c: 4, g: 2, i: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51363 to two decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12*w**3 - 6*w**2 + 73*w - 265. Give l(4).\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 319811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 2202*h + 11059. What is c(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -105*s**5 + 282378820*s**4 - 253135781455820*s**3 + 75640278336093042390*s**2 + 68436673627969935925*s - 7203857844186941210 = 0.\nAnswer: -1, 2\/21, 896441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24498 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1634.1 + -214.3. What is d rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + i = -2, -d - 2*i + 6 = 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - 128 - 104 - 118 + 457 - 106.\nAnswer: 11*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 46*t. What is w(-1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.2, 4 in ascending order.\nAnswer: -6, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 5. Let i be r(-6). Let t(v) = 3*v**2 - 132*v - 4. Let f be t(44). Sort i, f, -5 in decreasing order.\nAnswer: i, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*u - 40*u + 94*u - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 3*u**3 + 5*u**3 + (-1 + 2 - 2)*(-5*u**3 + u**3 + 3*u**3) - 4*u**2 + 4*u**2 - 3*u**3)*(u + 2 - 2).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2894c (base 13) in base 14?\nAnswer: -1db2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 145457?\nAnswer: 14\/145457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 plus -2744010629?\nAnswer: -2744010572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 30. Let d(s) = s + 63. Calculate -9*a(r) + 4*d(r).\nAnswer: -5*r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(4 - (-9)\/(-3)). Suppose -m = -y - 28. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*u - 4. Let k(a) = a - 7 + u + 5. Let n(f) = 2*f. Give k(n(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15825397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 4*t + 9, -80*g + 83*g - 6*t - 27 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 939 + -897. Solve -5*h = c - 37 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13143023 + -11?\nAnswer: 13143012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1433*m - 92281 + 28782 = 108461 for m.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*f + f - 5*p, 5*p + 32 = 4*f. Suppose -2*o + n - f + 40 = 0, o + 5*n - 35 = 0. Let h = o - 10. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0267 + 0.0235. Round t to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (61002\/72)\/((-33)\/12) - 0. Let b = k + 309. Factor b*d + 8\/11 + 2\/11*d**2.\nAnswer: 2*(d + 1)*(d + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82765, -165810, -249133, -332728, -416589, -500710, -585085?\nAnswer: -669708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 297*h + 12423. Determine t(-233).\nAnswer: -2489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1140672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.046 take away -21?\nAnswer: -6.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 4 - 10)*(4*r + r - 3*r) - r + 4*r + 0*r)*(-4 + 2 - 1) as u*r + s and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((2*sqrt(132))\/sqrt(11))*-1)**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/(-470)*4*((2 - -1) + 256\/(-88)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17832, 17435, 16774, 15849, 14660, 13207, 11490?\nAnswer: 9509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460978?\nAnswer: 2, 107, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 + -86. Is g\/(-78) + (-1809)\/(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884777.897 rounded to the nearest one thousand?\nAnswer: 885000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166\/69 - -40\/23. Sort 964, z, 1\/2 in decreasing order.\nAnswer: 964, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-828)*(-3)\/(-1)*18\/(-198)*-22\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**4 - 4*t**3 + 4*t**2 + 7. Let c(v) = -v**4 - v**3 + v**2 + 1. Let r(z) = -4*c(z) + s(z). Differentiate r(y) with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 + 16*n - 19. What are the prime factors of f(-10)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/20*(-270)\/252*8\/20?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.147\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-675)\/60 + 19)*-4*(-2)\/356. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + x = 5*x - 24, 5*a - 78 = -x. Calculate the highest common divisor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 179 - 133 = -3*k, k + 3 = 0. Calculate the remainder when i is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s**4 - 2053029*s**3 - 2*s**2 - 29709127 with respect to s.\nAnswer: -16*s**3 - 6159087*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*k - 2, -3*n - 3*k - 1 - 5 = 0. Sort n, 1\/3, -0.4, 26.\nAnswer: n, -0.4, 1\/3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5. Suppose 2*x + 78 = 5*x - 3*z, s*z = 2*x - 55. Calculate the least common multiple of 8 and x.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/28*-4 + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4679 - 0.01031.\nAnswer: -4679.01031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5643 + -117?\nAnswer: 5526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkokkook.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10896, -21739, -32528, -43263, -53944?\n\"Answer: 27*y**2 - 10924*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -580 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*m, -z - 3*m + 12 = -4*z + 5*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-165)\/543)\/(6\/36*-8). Let l = m + 4\/181. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 971 + 5?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/14 + 30\/(-70). Let j(u) = 17*u**2 - 2*u + 1. Let k be j(x). What is the greatest common factor of 40 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*u - 169*u - 460*u + 179*u.\nAnswer: -1058*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*b**2 - 1 + 16*b**2 + 0 + 0 - 19*b**3 as w*b**3 + i*b**2 + y*b + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 379\/4 - (-3)\/(-4). Let o = 165 - s. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1100.3212 - 290790.\nAnswer: -289689.6788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057981*u**3 + 2115967*u**3 - 1057987*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14747450 (base 9) in base 16?\nAnswer: -7035c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -1\/10*s**5 - 1\/6*s**4 - 2*s**2 + 0 + 1\/3*s**3 + 0*s. Factor o(m).\nAnswer: -2*(m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-10) - 3\/15. Let n be (1*v)\/(14\/(-42)). Solve n*y + 4 = -0*w + w, 3*y - 2*w = 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/14)\/(3\/78). Let j = x - 7. Find the third derivative of 28*t**6 - t**2 - 11*t**6 - 19*t**j wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 2:12 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3366.\nAnswer: 2\/1683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1215, -1146, -1075, -1002, -927, -850?\n\"Answer: g**2 + 66*g - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001263657 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6500814, 6500815, 6500816, 6500817, 6500818?\n\"Answer: l + 6500813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/12)\/7 + 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5632*t**2. Let g(c) = c**2. Give g(k(v)).\nAnswer: 31719424*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56288 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 11413440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgcvuck. What is prob of sequence ucv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 28*z + 7*z + (0*z - z + 0*z)*(3 + 0 - 5) + (-1 - 3 + 3)*(2 + 3*z - 2))*(5*z**3 + z**3 - 4*z**3).\nAnswer: 62*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**2 + 3*x - 3. Let n(z) = -9*z**2 + 2*z - 2. Give -3*n(l) + 2*q(l).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8387.\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -5, 3, -2\/81, 0.2, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*j - 2*n + 202, -j + 3*n + 54 = 0. Let c(z) = -10*z - 21. Let p be c(-5). Let g = p + j. What is the remainder when g is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + ((sqrt(170) + sqrt(170)*-1 + sqrt(170) + sqrt(170) - sqrt(170) - sqrt(170))*2 - sqrt(170)) + sqrt(170))*3)\/(sqrt(640)*2*4).\nAnswer: 3*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - f**3 + 14 + 6.\nAnswer: -f**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -24 + 2 + 8 + 7 + 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65099*q**3 - 2013*q + 25 wrt q.\nAnswer: 390594*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.9 + 13. Does -4 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11255, -2.\nAnswer: -11255, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 6445*(-30)\/(-5700).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13848*t + 11. Let y(o) = -9232*o + 7. Determine -14*x(q) + 22*y(q).\nAnswer: -9232*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19428 is divided by 381.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 27, 30?\n\"Answer: 3*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663114.1 hours to microseconds.\nAnswer: 2387210760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3\/7 - 416*h**2 - 14636*h\/7 - 17592\/7 = 0.\nAnswer: -3, -2, 733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -318427938 rounded to the nearest one hundred thousand?\nAnswer: -318400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/57 (b) 3\/139 (c) -5\/6 (d) -3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*p - 582 = -580, 3*p = 2*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -16*y + 88 - 33. Solve y*d + 4*h = 8, -5*d - 4*h + 3*h = -14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1484444 by 4.\nAnswer: -371111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) -0.0858 (c) -3 (d) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 987.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5387 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 3*k. Let z be o(-2). Suppose 8 = 10*q - z*q. What is the third derivative of 57*n - 57*n - 15*n**q + 5*n**4 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -144*t. Let c(l) = -l - 146760. Calculate i(c(k)).\nAnswer: 144*k + 21133440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.73396061 to three dps.\nAnswer: 5.734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18441 (base 9) to base 16\nAnswer: -31d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 6 + 0 = 0. Suppose 0 = 2*r - r - 2*q - x, 2*q + 8 = 2*r. Let i be 21\/r - 8\/2. Which is greater: i or 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-12))**(-11\/2)\/(((w\/(w**3\/w))\/w)\/w*w**17) assuming w is positive.\nAnswer: w**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Suppose l + l - 44 = o. Suppose 2*q = -2*a - 0*q, -3*q = 4*a - 3. Solve a*z + l = -2*f + 6*f, f = 3*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*o + 32, -2*l - 5*o + 3 = -5. Let z(f) be the first derivative of f**2 + 9*f + 9. Calculate z(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 6*h + 6. Let s(o) = -o**2 - 5*o + 5. Suppose -2 + 8 = -g. Let j(t) = g*s(t) + 5*q(t). Let p(k) = 4*k**2. What is 3*j(m) - p(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from dadvdyr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24243 (base 5) in base 2?\nAnswer: 11100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250001502 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 10:22 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 3. Let m(a) = a + 23. Calculate the remainder when m(0) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {x: 16, l: 2}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 + 314*l - 12. Let b(c) = 4*c**2 - 311*c + 8. Determine -3*b(i) - 2*g(i).\nAnswer: -2*i**2 + 305*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 3*w + 2. Let h(n) = -n**3 + 8*n**2 + 2. Let o be h(8). Let x be u(o). Solve -r - x = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1095253796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(1 + 3*(2 + (sqrt(3024) + -2*sqrt(3024) + sqrt(3024) + sqrt(3024))\/(-2*(sqrt(7)*3 - sqrt(7))))))**2.\nAnswer: -3150*sqrt(3) + 7300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 637*p - 4.\nAnswer: 637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -82, -4\/51, 0.1, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, y: 2, z: 6, p: 2, k: 2, s: 1}. Give prob of sequence szkj.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c9 (base 16) in base 4?\nAnswer: 23021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from ndhnnihdkh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-7 + 2) + 195. Suppose -3*n - 137 - y = -3*u, 3*u - 5*n = 338. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5889591.\nAnswer: 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 67*o**3 - 27*o**3.\nAnswer: -97*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let y(p) be the first derivative of p**5\/120 + p**3 + 4. Let k(b) be the third derivative of y(b). Calculate w(k(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561246?\nAnswer: 2, 3, 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6579212 rounded to one dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5))\/(y*(y\/y**3)\/y))\/(y\/(y*y**(-6\/7)*y)*y*y*y*y**(1\/4)) assuming y is positive.\nAnswer: y**(-143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4237 and 1865432464?\nAnswer: 4237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjzzjzjzzz. What is prob of picking 2 j and 1 z?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -2. Let m = 12 + 1. Let i = m + -9. Which is the closest to g? (a) -2\/11 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(272) + -5)**2 + (1 + sqrt(17))*-2)*-1.\nAnswer: -290 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose -b*f = f - 231. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a4283 + 3?\nAnswer: 1a4286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (5 - -16) - (-49 - -12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 + 60*q**2 + 26*q + 69. Calculate x(20).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*-1*sqrt(1584)*-6)\/(-3*(sqrt(324)*-2 - sqrt(324)) + (sqrt(324) - 1*sqrt(324) - sqrt(324))*-4).\nAnswer: -12*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41022 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-14))\/(956\/(-13384))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 593 - 52. Suppose k = -94 + z. Is (k\/(-9))\/((-1)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-5)\/(-2))\/(-5)*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (4\/22 - 0).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3\/7, -351, 1\/450?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g - 5*g + 1827. Is g less than or equal to 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*r - r - 45 = 0, 0 = 4*r + 20. Let o = 15 + s. Let x(u) = u**2 - 31*u - 1554. Let b be x(58). Solve 2*j + 4*l + o = 7*j, -b = -2*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 36. Let p(m) = 6*m - 8*m + w*m. Let n(h) = -h**2. Determine n(p(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**3 - 70*i**2 + 7485*i + 1953931?\nAnswer: 6*i**2 - 140*i + 7485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/8*(1 - 7). Solve -2*q - 6 = -x, 7*x = 4*x - 3*q - d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(3 - 11\/3). Suppose -5*b = -2*u + 33, 0 = -p*u - 0*b - 2*b + 2. List the prime factors of 2\/(-6) + ((-10464)\/(-18))\/u.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*l = -0*l - 6, 10 = 4*x + 2*l. Suppose 0 = 4*f - 4*y + 12, -x*f + 4*y = 3*f + 12. Is 171\/3 + f - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -9*n**4 - 50 + 0*n**3 + 57*n + 1\/2*n**2. Differentiate q(x) with respect to x.\nAnswer: -108*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let b be o(-2). Let m(w) = 20*w**2 + 4*w - 4. What is the remainder when m(b) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 10, q: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 58, 142, 260, 412?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/576 and 101\/490968?\nAnswer: 3927744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(3*(sqrt(2448) - (sqrt(2448) - (-2 + sqrt(2448)))) - (5 + 3*sqrt(2448)))*3)**2.\nAnswer: 39601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.07 + 0.07. Let r = 1.03 + p. Let o = 0.13 - r. What is the closest to -0.1 in -1, o, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4438 is divided by 223.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*s + 46 = 0, -28*s = -3*x - 24*s - 51. Let l(m) = m**2 + 11*m - 21. What is l(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**4 - 9 - 5*i**3 + 0 + 6*i**3 as v*i**3 + w*i**4 + t*i + r*i**2 + b and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -60 - 0)*(-1126)\/(-2815).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57365 is divided by 19120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 6 + 7 + -8. Solve -119*x + 125*x = j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 3055 + 3055.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -848, -2404, -4998, -8630, -13300?\n\"Answer: -519*d**2 + d - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -12. Let v = l + 8. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:00 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1080\/13 + 17401\/260. Let z = s - -82\/5. Solve z*g**3 + 0 - 1\/4*g**4 + 1\/4*g**2 - 1\/4*g = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 73\/6 + (-2)\/12. Let l(i) = -18*i + 22*i + 16*i + k*i + 5. Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u - 18*u - u to the form v*u + k and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*x - 46. Let a(o) = 2*o**3 + 10*o**2 + o + 7. Calculate a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -906 = 8*f - 7*f. Let k be (-2)\/(f\/(-227) + -4). Let i = -121 + k. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b0 + -48?\nAnswer: -f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*c = -575 - 565 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.784 + 0.216. Let h = 90.9999917 - r. Round h to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 2*m + 1. Let h be o(-1). Suppose b + 434 = h*b + 3*i, -2*b = -i - 833. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 114039.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*3 + 1*sqrt(3) + -3 - ((sqrt(240) - (sqrt(240)*-1 - sqrt(240)))\/sqrt(8))\/sqrt(10))**2.\nAnswer: -24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(((t**0*t)\/t)\/t)\/t)*t*t\/(((t\/t**(-1\/5))\/t)\/t))\/(t**(-5)*t**(-2\/3)\/t)*t**2\/(t*(t\/((t\/t**(-1\/6))\/t))\/t)*(t**(-1))**(-10) assuming t is positive.\nAnswer: t**(679\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h - 606 + 531 = -336 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 + 598. Let d = v + -376. Calculate the remainder when 85 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1 + 17 = 0. Let t be 2*(w\/3 - 1). Suppose -2 = -t*x + 2*x. Let c(s) = -5*s**3 + s**2 - 1. Calculate c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -59*x - 177. Let j be s(-19). Which is smaller: 942 or j?\nAnswer: 942","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 5:37 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/(13\/520). Which is smaller: s or -15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3 - 228*g + 5 - 4 - 9*g**2 + 215*g. Let x(h) = -10*h**2 - 13*h + 3. Let m(y) = 7*i(y) - 6*x(y). What is the derivative of m(f) wrt f?\nAnswer: -6*f - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1*-0.979214\nAnswer: 3.0355634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -272, -593, -1052, -1655, -2408?\nAnswer: -3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4500300.\nAnswer: 2, 3, 5, 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 513? (a) 2\/11 (b) -16.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*l + 22 = 0, 16*c - 13*c + l + 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from {z: 2, h: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40397, 40400, 40403?\n\"Answer: 3*n + 40394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in -1\/2, 35\/81, -2, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*l - 15 = 0, -4*x = -6*x - 4*l + 6. Find the second derivative of 13*c**2 - x*c**2 + 5*c - 3*c**5 - 8*c**2 wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/180 - i**4\/72 + 4*i**2. What is z in y(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2575512\nAnswer: 1\/643878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*j - j + 29 = 0, -4*j = 4. Let b = q - -28. What is the highest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s - 251 + 83. Calculate the least common multiple of 52 and ((-150)\/20)\/(3\/s).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87144 + -56151. Suppose -i - 3*m - 2*m + f = 0, 0 = 3*i + 3*m - 93027. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 61, 107, 171?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.139 - -0.139. Let u = -282 - -283.84. What is the second biggest value in m, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 1761*a - 183060.\nAnswer: -3*(a - 452)*(a - 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 5 + 33\/((-33)\/(-14))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t - 18. What is the greatest common factor of 33 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 13. Give r(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 522979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1705, -1707, -1709, -1711, -1713, -1715?\n\"Answer: -2*a - 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*y - 3*l, 4*y - l - 10 = 38. Suppose 2*w + y = 5*w. Suppose 2*z + 2*h - 23 = -z, -5*h = -20. Which is greater: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 1146371644.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - d - 3*i - 23, 4*d - 3*i - 68 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/165376 and 41\/1088.\nAnswer: 165376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 5*u. Let i(o) = -2*o**2 + 3*o. Suppose g + 2 - 1 = 0. Let z be 1\/((g + -1)\/6). What is z*b(x) - 5*i(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -23. Suppose 13*c - n*c = 7. Solve -18 + c = -4*y - 5*d, -d = -3*y + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22444*j = -22442*j - 86 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 39291?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6766 + 1.5766. Is i bigger than 371.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320140 is divided by 187.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 4*b + 4*b)*(2*b - 6*b - 4*b)*(-12 + 7 - 38).\nAnswer: -344*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + -57. Let w = 1482 + -1464. Calculate the smallest common multiple of w and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 9 + 21 = -4*v, -b = -2*v + 14 - 17 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 780 = -5*h - 2*l, 5*l = -4*h - 633. Let w = -158 - h. Is -2\/13 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(45)))**2.\nAnswer: -300*sqrt(5) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37410 = -19*a - 313*a - 98*a for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g - 50. Let j(t) = -12*t + 79. Let b(y) = 5*j(y) + 8*x(y). What is b(-7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -677, -2358, -5649, -11090?\nAnswer: -19221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 2, -5 in increasing order.\nAnswer: -10, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2 - w - 2*w - 2*w + 6. Let t(h) = 9*h - 16. Let r(c) = 5*k(c) + 3*t(c). Let x be r(6). Solve -3*u - 2 = x*i, u = -i - 0*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(8\/14) - -2. Let i = -3 - n. Factor i*p**4 + 24*p + 5*p**2 + 8 + 3*p**2 + 12*p**3 + 18*p**2.\nAnswer: 2*(p + 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56192 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:31 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-7*x**2 - 12126*x + 12126*x + 3).\nAnswer: 7*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92.36 - 82.36. Which is the second smallest value? (a) s (b) -1.1 (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 3*f**3 + 0*f**3)*(6*f**2 - 2*f**2 - 2*f**2) - f**3 + 13*f**5 - 11*f**5 + 3*f**3.\nAnswer: -2*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)*p**2)\/(p\/p**0*p)**(-4\/5)*(p**(3\/4)*p)\/(p*p*p**(1\/2))*p*p\/((p*p**(2\/9))\/p)*p**1 assuming p is positive.\nAnswer: p**(1133\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 661, 736, 709, 532, 157, -464, -1379?\n\"Answer: -8*k**3 - 3*k**2 + 140*k + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**4 + 2*f**3 - 2*f**2 - 2*f + 1. Let o(t) = t**4 - t**2. Suppose 5 = -5*a + 6*a. Let q be (-2)\/a + 68\/20. Let w(x) = q*u(x) - 6*o(x). Factor w(p).\nAnswer: -3*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:07 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -18, 2\/3.\nAnswer: -18, -0.01, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1604800 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 - 41. Suppose 96 = 3*y - 0*y + 4*k, k = 3*y - w. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534119808?\nAnswer: 2, 3, 1390937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.401 - 0.001. Let u = m + -0.4. Let n = u - 3.99968. Round n to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w - 22. Let b be i(3). Let f be (-31)\/(-7) - b\/(-35). Solve -f*s + 4 = 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1388529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1607 = -o + 4*c, 4*o - 5*c = 2670 + 3714. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216.5 - -238. Let w = -21.6 + q. Which is the second smallest value? (a) w (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*k**6 + 2919*k**5 + 1735*k**2 + 19?\nAnswer: 5040*k**3 + 175140*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 7. Let z(d) = -498 - d - 501 - 12*d + 985. What is 5*g(f) + 2*z(f)?\nAnswer: 4*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 120444100?\nAnswer: -120444044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 31*p = -130141 - 63588. What are the prime factors of p?\nAnswer: 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7833095737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*((a**(-2)\/a*a)\/a)\/a)*a**5\/a)\/((a*(a\/a**4)\/a)\/a**(-4)) assuming a is positive.\nAnswer: a**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -36*(-5)\/1260*-40\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5 - 21*v**2 + 14*v**3 - 45*v**3 - 909*v**4 + 898*v**4 = 0.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -7 in decreasing order.\nAnswer: 5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 14476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2282 to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 - v**5 - 4*v**5 + (5 - 5 + 1)*(-2*v**5 + 3*v**5 + 2*v**5).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/12 + 1. Sort w, 0.2, 2\/9 in decreasing order.\nAnswer: 2\/9, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v - 1 = 0. Let g be -1*(-2)\/v + 1. Let r = -8 - -6. Is r bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-10)*k)\/k*k**(2\/5)\/k)**(-1\/10) assuming k is positive.\nAnswer: k**(53\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + x - 3)*(x - 1 + 1) + 2*x**2 - 1 + 0*x**2 + 13*x**2.\nAnswer: 16*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3779350, -7558705, -11338060?\n\"Answer: -3779355*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 2*i - 5. Suppose -4*j + 49 = -51. Let g = j + -12. What is the remainder when d(8) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1999541.1 months?\nAnswer: 166628.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 25 = 0, -2*w + 50 = 4*r - 0*r. Calculate the highest common divisor of 75 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 7*a**4\/12 + 2*a**2 - 5*a + 1. Let b(h) be the first derivative of v(h). Is 19 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 39 - 109. Suppose -67*g + r*g - 360 = 0. Calculate the remainder when 84 is divided by g\/(-50)*(-15)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 18 - 36 = 0. Let f = 52 + s. Suppose -10*t = -5*t - f. 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 (-176 + 210 - (-2 - 1)) + -2 + 0 + 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 6*a + 6. Let u(f) = -10*f**2 + 65*f - 65. Let z be 495\/90*5\/(110\/24). Determine z*u(k) + 65*l(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c**2 + 120*c + 8. List the prime factors of f(6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.5 minus 2.2?\nAnswer: -25.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 293449538*x**2\/13 + 2907120*x\/13 + 7200\/13.\nAnswer: 2*(12113*x + 60)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 + c**2 + c**2)*(3 - 3 + 136157*c - 136045*c) in the form u*c**3 + t + m*c**2 + h*c and give u.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428815144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*r + 15*r = 827*r + 615*r - 77292 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/1099875 and 3\/2000.\nAnswer: 17598000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.585 + 0.165. Round l to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*i = -3*i + 80, 92 = 5*o - i. Let n = 20 - o. Solve 4*m + n = -4*s - 2, s = 5*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttuxuxuuttuu. What is prob of sequence xx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1808219.9 rounded to the nearest 10000?\nAnswer: -1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132740 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 14 = 2*i. Let f(m) be the second derivative of -m**5\/20 + 7*m**4\/12 - m**3 + 7*m**2\/2 + 2*m. Calculate the remainder when i is divided by f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2680 and 3398830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 12*i - 7*i + 32 - 36. What is v(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925173753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1923332684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.146972489.\nAnswer: -4.146972489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(72\/20 - 3). Suppose g = 2*p + 1, 4 + 41 = i*g - 2*p. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4+-17942702\nAnswer: -17942704.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 548199 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 57 - 5. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 3*z, -3*z + z - 4 = -n. Let w(g) = 2*g - 8. Let l be w(n). Solve -5*b + b - 8 = l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*r**3 + 44*o**2*r**2 - 4*o**2*r - r**3 - 20*r wrt r.\nAnswer: 6*o**2*r + 88*o**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 5. Let u(p) = -6*p + 7. Let x(y) = 11*y - 15. Let g(v) = -7*u(v) - 4*x(v). Suppose -4*n = -16, -6 = -q - 3*n + 12. What is q*g(c) - 13*w(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 277*a**3 - 528*a**3 + 250*a**3.\nAnswer: -a**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 142771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -29*v + 25. Suppose 236 = -3*n + 224. What are the prime factors of p(n)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + y + 12, -d = 5*y + 8. Let x(w) = w**3 - 4*w**3 - 14*w**d + 15*w + 4*w**3 - 9. List the prime factors of x(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/7 + 1080*q + 1020600 = 0 for q.\nAnswer: -1890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13\/70 + -3\/14. Sort 1\/4, -3, -2\/7, b in increasing order.\nAnswer: -3, b, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 2*u - 2*u)*(25 - 99 + 25 - 119) in the form c*u + h and give c.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-401 - 283 + 48 - 2*z - 409) in the form f*z + w and give w.\nAnswer: 2090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (3 - 2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Is (-33)\/y*(-34)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*x + 2 = 3*n, 0 = 2*n - 5*x + 22. Let r be 2*((-129)\/n - -2). Is r\/(0\/(-1) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000 (base 3) in base 6?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147 - -3905?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*l**3 + 17*l**2 - 78*l**2 + 34*l**2 wrt l.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -7, -0.3, -0.2, -290, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*m**2 + 463580*m - 463580*m.\nAnswer: -37*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 4. Let q = 380 + -376. Let g(i) = -i**3 - 5*i**2 + 2. Let t be g(-5). Put q, t, w in descending order.\nAnswer: q, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 65 = -2*z + 5*j, j + 75 = 2*z. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.84, 340, 2\/5, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(5*(sqrt(475) - 4*sqrt(475)*-1) - (2 + (sqrt(475) - -4*sqrt(475))*4 + sqrt(475))**2).\nAnswer: -1047395 - 1475*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2319219 * -60.\nAnswer: -139153140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15721 and -10.98.\nAnswer: -172616.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 553\/10, 9.9, 0, -2\/5, 0.5, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i - 10. What are the prime factors of (2\/(-4))\/((-1)\/i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 1)*(1 - 1 - 2*d**3) - 2*d**3 - 343*d**2 + d + 341*d**2 + 0 - 1.\nAnswer: -14*d**3 - 2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 10 (b) -2 (c) -4\/5 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -48*(0 - (-6)\/20). Let r = o + 499\/35. Let s = -1.94 + -0.06. What is the second smallest value in 1, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 0.13. Let i = -14 - -17. Let t = 15\/22 + -2\/11. Sort y, i, t.\nAnswer: y, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*a = -416*a - 608*a - 3692*a + 71460 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -0.2, -0.4, 10, -1\/7, -0.5, -4.48?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/a)**(-49)\/((a**(5\/4)\/a)\/(a\/(a\/a**0)))*((a\/(a*a\/a**(-3\/2)))\/a**(-3))\/(a*a**(-2\/5))**(-49) assuming a is positive.\nAnswer: a**(1181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.6534006 to 1 decimal place.\nAnswer: -41.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 402?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.776 + 376.224. Let k = 418.8 - h. Let m = 43 - k. What is m rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61224996 and 10.\nAnswer: 306124980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -14*o + 9*o. Let v(p) = 1 - p**3 - o - 7*p**2 - 2*p**2 - 8*p. Let x be (-2)\/11 - ((-378)\/(-99) + 4). Calculate v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 708840 and 322200?\nAnswer: 3544200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, -36 in decreasing order.\nAnswer: -2, -29, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(96)\/sqrt(3))**2 + 4.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((-19 - -69) + 8 + -23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43383612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2201*t + 55892 + 16741 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 1. Let r(b) = 4*b - 13. Let p be r(3). Let l(s) = -2*s + 5 - 4 + 3*s. Suppose 2*o + 0 = -4*x - 4, 9 = 5*x - o. Give p*l(q) + x*v(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 586 + i - 2*i**4 + 9*i**3 + 3*i**2 - 587 - 12*i**3 - 18*i**3 to the form z*i**3 + r*i**4 + t*i + b + j*i**2 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*t + 3 + 16 + 12 + 4.\nAnswer: -375*t + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, -3, 91, 1, 2, -4.\nAnswer: -4, -3, -2, 1, 2, 26, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 3*k + 1. Let o(a) = 4*a + 2. Let i be o(-2). Let m(x) = x**3 + 7*x**2 + 6*x + 4. Let q be m(i). Is 19 a factor of l(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.44 - -6.53. Round q to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434116519 a multiple of 2121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 62*y**2 + 162*y + 83. What are the prime factors of s(-59)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16530 + 16535. Solve -5 = 163*y - 165*y - s*q, y - q + 1 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2538 + 327. Let g = h - 8931\/4. Find the common denominator of -131\/24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -86142, 0, 5, 2, 4 in decreasing order.\nAnswer: 5, 4, 3, 2, 0, -86142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3848)\/6*((-11322)\/(-68))\/(-37). What is the highest common factor of c and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-14) + (-6)\/21. Let r be (-3 + t)*3\/(-2). Suppose 0 = r*m + m + q - 34, q - 16 = -2*m. Solve -m + 3 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/26 - 14*k**3\/39 - 28*k**2\/13 - 40*k\/13 + 1000. Factor c(m).\nAnswer: 2*(m - 10)*(m + 1)*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4208, 4208, 4206, 4202?\n\"Answer: -z**2 + 3*z + 4206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a - 9*a + 10*a)*(-32*a + 113 - 113 + a**2).\nAnswer: 14*a**3 - 448*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 + 873\/7. Let f be (-3 - (0 - -2))*(-17 + 18). Put u, 1, f in increasing order.\nAnswer: f, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -12. Let a(j) = -5*j**2 - 6*j - 2. Let i(g) = -4*g**2 - 5*g - 2. What is h*i(o) - 5*a(o)?\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4923 is divided by 984.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 23*z**2 + 135*z + 31. What is a(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*v - 244*c + 1144 = 765*v + 352*c, 5*v = -c - c + 84 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -160 + 484 - 5*w**2 - 164 - 15*w**3 - 158 + 7*w**2. Let c(o) = 1394*o**3 - 187*o**2 - 187. Determine -2*c(d) - 187*l(d).\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y + 13. Calculate z(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*d**3*k**2*r**2 + 3*d**3*k**2 + d**2*k**2*r + 3*d**2*k**2 + d**2*r**2 + 15*d*k**2 wrt d.\nAnswer: -120*k**2*r**2 + 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -12.07778503307.\nAnswer: 0.07778503307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 + o. Let q be z(0). Let v(a) = a**2 + 10*a + 13. Let g be v(-9). Let x be (-1)\/2 + 5\/g. Is x > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-1)*7\/3*1162\/(-8134).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, p: 1, n: 3, o: 2}. What is prob of sequence ozpo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10071 and 1566.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 + 2 - z**3 + 0*z**3 + 8*z**3 + z**2 to the form c*z**3 + p*z**2 + h*z + w and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scehapc. What is prob of picking 1 s and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**11*(f**(-8)\/f)\/f**2 assuming f is positive.\nAnswer: f**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + y, -2 = -t + 3*y - 10. What is the remainder when 29 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3135)\/90 + 1\/2)*15000. What is d rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -32*z. Let p(m) = -2*m + 1. Let i(f) = -36*f + 12. Let d(c) = -36*c + 12. Let r(b) = -3*d(b) + 4*i(b). Let l(j) = 12*p(j) - r(j). Determine l(q(v)).\nAnswer: -384*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + m)*(-4*m + 5*m - 4*m) + m**2 - 8*m**2 + m**2 + 2*m**2 - 4*m**2 + 3*m**2 + (-3*m + 2*m + 3*m)*(m - m + m) to c*m**2 + f + s*m and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9246 - 8068. What is the remainder when y is divided by 390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 6 - 66. Let r be (-9)\/q - 6\/(-8). Find l such that 1\/2*l**2 + 1\/2*l + r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120720 divided by -2?\nAnswer: 60360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104608 or 732255\/7?\nAnswer: 732255\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*b + 791*b - 261*b - 262*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/43540210 and -23\/1374954?\nAnswer: 130620630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 - -170. Sort k, -1, -5\/4 in ascending order.\nAnswer: k, -5\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - 22\/6. Let c = -4 - m. Suppose y + y - 52 = c. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 390468 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.882948*0.1\nAnswer: 0.3882948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 - 4*r**3)*(-4 + 2*r + 4)*(-53 + 50 - 2*r - r)*(-21 + 38 - 70).\nAnswer: -1272*r**5 - 1272*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d - 12. Suppose 6 = d*k + 22. Find the common denominator of 49\/18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 8*y**2 + 7*y + 5. What is x(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z + 3 - 3 - 90*z**3 - 67*z**3 - 140*z**2 - 40*z**4 - 5*z**5 + 42*z**3 = 0. What is z?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y. Let l(w) be the third derivative of -w**4\/12 - 4*w**3 - 60*w**2. What is l(c(b))?\nAnswer: -6*b - 24","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (187*x**2 - 148*x + 148*x)*(-1 + 1 - x) to the form w*x**3 + o + t*x + c*x**2 and give w.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -8 - 1) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/372758?\nAnswer: 3\/372758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3172 rounded to two dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by (-192)\/(-2016) + (-943)\/(-21).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*d - 339*d - 2216 = -732*d - 125 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 20. Suppose 4*u = u - 3*o + a, 5*u = 2*o. Suppose -u*r - 324 = -6*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10401 is divided by 289?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865265 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1344 and 61\/10?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x - 8. Let s be c(3). Suppose b - 46 = -2*b - 4*i, 0 = -s*b + i + 74. Let q be 8\/(-20) - 184\/(-10). What is the highest common factor of q and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*z + 9, 5*z + 15 = 2*o - 5*o. Suppose 5*q + 4 + 6 = o. Let h = q - -6. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -21. Let p = -0.03 + -0.27. Let k = 0.4 - 0.2. What is the closest to -0.1 in a, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1480007*t**2*y**3 + 3*t**2*y**2 - 432*t*y**3 - 57*t*y**2 + 574*y**2 + 20*y + 2 wrt y.\nAnswer: -8880042*t**2 - 2592*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or 135\/4?\nAnswer: 135\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, s: 6, p: 1}. What is prob of picking 3 w?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*z - 12*m**2*z**2 - 14*m**2*z + m*z**2 - 2382*m + z wrt m?\nAnswer: -6*m*z - 24*z**2 - 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 887700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 times -8.00364?\nAnswer: -3505.59432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/18 + (-8)\/48. Let p be (4 + -2)\/(1\/j). Let l be 14\/p + 9\/18. Solve -4*s + 4*y = 3*y - l, 2*s = y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - 4*b**2 + b + 2. Let m be d(-3). Let h = -11 + m. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.978175l to millilitres.\nAnswer: 6978.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 774, 3089, 6944, 12339, 19274?\n\"Answer: 770*u**2 + 5*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99259 + 0.08.\nAnswer: 99259.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1830 = 5*p + 2*m, 450 + 273 = -2*p + m. Is -362 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9)\/18)\/(4\/(-1016)) is divided by 62.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 19 - 2. Suppose -4*z - 234 = -3*d - z, 266 = f*d + 5*z. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, and 1 t when three letters picked without replacement from tttzv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 92.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o + 12, -4*t = -o - 115. What is the remainder when t is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -37041.\nAnswer: -37040.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/6 + 2*x**2 + 3*x. Let f(r) = -r + 1. Let n(s) = 2*f(s) - l(s). Suppose z = -3*h + 8, -2*h - 2*h = -8. What is n(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 7, f: 1}. Give prob of sequence kkhf.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -5, -0.8, 66933?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.034 - -0.066. Let w be (1 - 3) + (-7)\/(-3). Put -11, h, w in ascending order.\nAnswer: -11, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 421*t**2 + 2257*t - 409. Give w(205).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 2. Let t be (-1 + 7 - 1) + -3. Let r(b) = 9 + t*b**2 + 6*b**2 - 3*b**2. Let k(x) = 9*o(x) - 2*r(x). Factor k(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1263*x**2 + x**3 - 263*x**2 + 48985*x - 102010 + 0*x**3 + 4*x**3.\nAnswer: 5*(x - 2)*(x + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -1. Let y(k) = k + 4. Let z be y(10). Suppose -3*d = -z - 52. What is the lowest common multiple of n and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -17 - u**3 + u**2 + 3*u**2 - 17*u + 10*u**2 + 9. Let z be f(12). Calculate the highest common divisor of z and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5\/4, 1.2, 21, 0.059, 3, 2, -2\/11?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -880*w**3 + 14*w**2 - 434?\nAnswer: -2640*w**2 + 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/((-42)\/168).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 189772\/160 + 2\/(-8). Let v = d - 1185. Let r = -178\/15 + 7427\/660. Find the common denominator of r and v.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h**2 - 4 - 7 + 10)*(0*h + h + 0*h) + h**3 - 3*h**3 + 7*h**3.\nAnswer: -7*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o*o*o*o**(11\/4)*o))**(1\/16)\/(o**(-7)*o*o**(-12\/13)))**(-36) assuming o is positive.\nAnswer: o**(-49149\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) + 204\/(-540). Let l = 4 - 4.3. Which is the smallest value? (a) 2 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, w: 10, e: 5}. What is prob of sequence ue?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17030 and 36010?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.85 - -0.15. Let q be (-2*3\/9)\/((-8)\/3). Which is the third smallest value? (a) -1 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/45)\/(((-312)\/(-35))\/3 + 3924\/(-1308))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 208096623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3771?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d**(2\/7)\/d*d)\/d*d*d)*d**(-2\/11))\/(d**(-4)*d**0) assuming d is positive.\nAnswer: d**(195\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -4*y, -2*m - m + 14 = y. Suppose -6*t + t = -25. Suppose -4 = -t*o + 4*o. 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: Simplify (sqrt(143) + (sqrt(143) - 2*(1*sqrt(143) + sqrt(143))))\/(sqrt(11) - 1*sqrt(99) - sqrt(11)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000183877 rounded to 6 decimal places?\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 2*w**5\/5 + 4*w**4\/3 + 5*w**3\/3 + w**2 + 7*w. Determine a so that u(a) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266 or -267?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69995 or -77562?\nAnswer: -77562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-231)\/(-3564)*190\/84 - 8\/64 and -71\/378?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 64*p**2 - 132*p - 457. Let t be z(-62). Suppose -3*c - 1380 = -8*c. Find the common denominator of 28\/5 and (-26)\/t - (-70)\/c.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 215*l**2 + 2433*l - 608. Give b(-203).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 1. Let q(l) = 7*l**2 - 3*l + 4. What is -q(d) - 5*v(d)?\nAnswer: -2*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 578 divide 3684172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -119. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/10)\/((-1)\/5). What are the prime factors of (-6)\/(-33) - 1800\/q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3*m + 25*k**3 - 5*k*m - 892*m wrt k?\nAnswer: -3*k**2*m + 75*k**2 - 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -10*o**2. Let x(n) be the third derivative of -1\/24*n**4 + 0*n + 0 + 0*n**3 + 5*n**2. Calculate v(x(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 21853988396 + 59*x - 21853988396.\nAnswer: -2*x**2 + 59*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + 11 - 1. Let r(k) = k**2 - 2*k - 10. Is r(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 7*s + 8. Let y be d(8). Suppose -3*b = -4*t - 18, y = 2*t + 3*t + 15. What is the third derivative of m**2 - 3*m**6 + 0*m**b + 0*m**6 wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311134?\nAnswer: 2, 17, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 57*t**3 - 10*t**2 + 3*t + 9. Suppose -x = -2*k + 14, -2*k = k - 5*x - 35. Is m(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1809, 1496, 975, 246, -691?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 - 224. Let f = r + 5.9. Which is the closest to f? (a) -4 (b) -84\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12 = 2*d, -3*b - 8 = -2*d + 2. Solve u**2 - 3 - 5 - d*u**3 - 11*u**2 - 16*u + 0*u**2 = 0 for u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*10\/(-8)*(96\/810)\/(-2) and -4 + 4 - (-2)\/39?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*t + 634*t + 1924*t.\nAnswer: 2404*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 9:32 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -70*p**2. Let x(d) = -266*d**2 + 77*d - 385. Let z(o) = 7*o**2 - 2*o + 10. Let j(n) = -2*x(n) - 77*z(n). Give u(j(s)).\nAnswer: -3430*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from xxzzzxzrxzzzxxxxz.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3151 is divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by 2.\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 16*p**2 - 38. Calculate y(-16).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775960 (base 13) to base 16.\nAnswer: 2ae6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*z + 4 = 0, -20*f - z - 2 = -17*f. Let p(b) = -4*b**3 + 2*b**2 - 4*b + 2. Let o(h) = -h. Determine f*p(v) + 4*o(v).\nAnswer: 4*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -31. Let r = x + 11. Suppose -r*d = 4*b - 96 - 6, -5*d + 4*b + 78 = 0. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*a**2 + 16*a**5 + 16*a**2 - 1 + 1 wrt a?\nAnswer: 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -362, -1439, -3216, -5687, -8846, -12687, -17204?\n\"Answer: i**3 - 356*i**2 - 16*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 5*l - 1. Let y be r(6). Let h = y - -9. Let t(f) = -3*f**2 + f + 1. Determine t(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -18. Let o = 5730 - 5729. Which is the fourth biggest value? (a) 0.3 (b) -2\/3 (c) o (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 29 = -1823*j + 1824*j, -4*j - 74 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Suppose -4*m - f*q = -415, -2*q = -4*m + q + 455. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.52 in -2\/5, -6.1, -0.2, -0.069?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 17. Let v be d - 4 - (-2 + -1). Solve 2*l - 4*r = v, -3*l + 3*r + 0 = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 346 (base 13) to base 5\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(891))**2*-4.\nAnswer: -3628 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 36.1 (c) 8 (d) -3 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 5*n - n)*(n**4 + 3*n**4 - 2*n**4) + (-n**4 + 0*n**4 - n**4)*(-4*n - 1 + 1) - n**5 + 3*n**2 - 3*n**2.\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*p**2 + 5694*p**2 - 2840*p**2 + (-p**2 + 0 + 0)*(-3 + 1 + 1) to the form g*p + c*p**2 + d and give c.\nAnswer: 2770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -cc1 (base 14) to base 3\nAnswer: -10110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322*-10521.\nAnswer: -3387762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 = -r, -12 = -r + 5*c + 3. Let s(g) be the third derivative of g**4\/24 + 5*g**3\/6 + g**2. Calculate the remainder when 9 is divided by s(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.50075 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 3\/5, -4, 2.7, -0.2, 0.1 in descending order.\nAnswer: 2.7, 3\/5, 2\/19, 0.1, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 128, 257, 386, 515?\n\"Answer: 129*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 - -120.3. Let o = -125 + 128. Which is the nearest to o? (a) 0.1 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (975\/(-860))\/((-2)\/(144\/(-27))). Which is the closest to 0.1? (a) t (b) -8 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z + 6. Let g be d(-5). Let o = 5 + g. Suppose -2*m - m = -o. Solve -4*j - m = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 + f**3 + 5*f**2\/2 - 2*f. Let q be t(-6). Find the second derivative of -a**2 - 6*a**q + 5*a**5 + a + a**2 wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 7*n**2 - 7*n - 4. Let s be u(-6). Suppose -101*w = -44*w - 1197. Which is the closest to s? (a) 0.4 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -4 - -5) + (6 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 4*s**2 - 7*s + 11. Let d(k) = -k**2 + k - 1. Let a(v) = 3*d(v) - f(v). List the prime factors of a(-6).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**(-45)*(t\/(t*t*t**(-8)*t))**(-10\/9))**(-4\/9) assuming t is positive.\nAnswer: t**(-136\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 9 = 4*j, 3*u + 2*j - 18 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3649.\nAnswer: 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29640 divided by 12.\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.6 - 16. Let h = -0.6 + t. Put -1, 0.3, h in descending order.\nAnswer: h, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100111001?\nAnswer: 100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r = 72*r - 7076734. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s - 12 - 10\/3*s**3 - 8*s**4 + 0*s**2. What is the third derivative of g(p) wrt p?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -106, -51, 100, 395, 882, 1609, 2624, 3975?\n\"Answer: 8*v**3 - v - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from gggvvgghggapvgvgggog.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -1. What is the highest common divisor of 63 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1717 - 0.0297. What is d rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 15729.886010044?\nAnswer: -15730.286010044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 6*y + 51*y**3 - 24*y**3 + 3*y to t*y**3 + h + k*y + s*y**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89 by 5407.\nAnswer: 89\/5407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*r + 8 = -6*u, 0 = -5*u - 3*r - 16. Put 4, u, 2, 5 in ascending order.\nAnswer: u, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 22*d - 17. Let n be q(9). Suppose -10 = 9*h - n. What is the lowest common multiple of h and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1108074591 rounded to five decimal places?\nAnswer: 0.11081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/36429 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/4, 1\/4, -4, -17\/5, 422, 0.15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*t = -10, -2 = -4*k + 3*t + 13. Suppose k*n - n = -2*z + 77, -3*n = -2*z + 75. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itp when three letters picked without replacement from {i: 1, o: 1, m: 2, p: 1, f: 1, t: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10136*m - 20441*m + 10304*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/3187 + 519476\/15935. Let v = j - 33. Which is the nearest to v? (a) 0.4 (b) -0.5 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/12)\/((-2)\/4). Find the third derivative of l - l - k*l**3 + 3*l**2 - 5*l**2 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -171*c + 178*c + 28. Suppose -r + 4*p = -6*r + 25, 2*r + 4*p - 22 = 0. Suppose -b + r = -5. Sort 1, b, c.\nAnswer: c, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 14*y**2 - 1006. Let r(d) = -39*d. Calculate r(m(b)).\nAnswer: -546*b**2 + 39234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 60. Let b be (d\/10)\/(38\/95). Find the third derivative of -5*w**3 + 14*w**2 - 3*w**3 - 5*w**b wrt w.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 23*d - 13. Let g be w(10). Suppose -13*a = -g*a + 252. What is the units digit of (8\/(-12))\/((-6)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/5 + 40*c**3 - 742*c**2 - 1768*c + 12351\/5 = 0. What is c?\nAnswer: -3, 1, 23, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*n + 20294067, 15*n - 12*n = -4*k + 81176314. Let l = 92648520 - 50054443. Let z = k - l. What is z rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1189*c**3 - 2*c**2 + 2*c**2 + 192*c**3.\nAnswer: 1381*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*l - 96*l - 65*l + 0 - 13*l - 3.\nAnswer: -78*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3865 by 5.\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9486, -43085, -99078, -177459, -278222?\nAnswer: -401361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Suppose -3*u + 1 = -5*j - 10, 5*u + 4*j - 6 = 0. Suppose v*h = 10 + u. Solve -f = f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*x + 12 = 0, 2*r - 9 = -3*x + 6*x. Suppose r = 3*l - 0*l - 2220. List the prime factors of l.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303344292 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 26. Sort 5, s, -4 in increasing order.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167659743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l - 1. Let b(t) be the second derivative of t**3\/6 - t**2\/2 - t - 56. What is b(o) + j(o)?\nAnswer: -5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9189 or -9374?\nAnswer: -9374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4428, 4418, 4408, 4404, 4412?\nAnswer: 4438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -75*j - 9. Let b be x(11). Let p = b + -95. Let s = p + 1330. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276*d + 83998 = -1054*d + 2448 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:01 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*g - 10 = 0, -g - 25 = -5*v - 2*g. Let i(b) = 11*b + b**3 - 1 + 0*b**3 + 0 - 7*b**2. Let p be i(v). Solve -5*w + 6 + p = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 367, 559, 765, 991?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -31*b. Let r(c) = -6*c. Calculate r(q(l)).\nAnswer: 186*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -1438, -3216, -5692, -8866?\nAnswer: -12738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 - 1. Let y(o) = -o**2 + 10*o - 10. Let l be y(9). Give a(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.6 + 5. Let h = a - -1.6. Sort 5, -1\/6, h.\nAnswer: h, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -11*o**6\/120 - o**4\/6 + 8*o**2. What is the second derivative of t(h) wrt h?\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234433450011 + 4?\nAnswer: 234433450015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z + 222. Calculate m(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15676937 - -0.11?\nAnswer: 15676937.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*n**2 - 15*n**2 + 23 - 16*n**2 - 18*n**2 - 7*n**2.\nAnswer: -2*n**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - o + 117095 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 22*i + 30. Let w(o) = 3. Let z(k) = -j(k) - 6*w(k). Let g be z(18). Calculate the greatest common divisor of 48 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, m: 2, s: 10}. Give prob of sequence smn.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**4\/24 - w**3\/2 + 3*w**2\/2 - 8. Let o(f) be the second derivative of n(f). Calculate o(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110981130899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/182 and 115\/546?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 410 + t - 349 + 533 - 2*t**2 to h*t + f + r*t**2 and give f.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1600*g**2. Let j(v) = -291*v**2. What is 28*j(d) - 5*q(d)?\nAnswer: -148*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11920 and 2086000.\nAnswer: 2086000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*x - 4*z, 6*x - 2*z - 2 = 9*x. Let l(y) = -4*y - 12. Give l(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55 - -8?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17933617 or -17933616?\nAnswer: -17933616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (874224\/189)\/104 + -44\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5140181.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-50)*2*(-3)\/36.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.165 + -7.165. What is the second smallest value in t, -4\/29, 2?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b - 7*b)*(2 - 2 - b)*(2 - 2 - 2*b)*(b - b - b).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.02821 + 127538796\nAnswer: 127538795.97179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 178*w + 5675. What is b(-26)?\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3100995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -b38 (base 15) to base 10\nAnswer: -2528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35124111 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 29*d - 4. Let r be f(4). Let s be (-3)\/(3\/11) + 3. Let x be s*(10\/8 + -3). Calculate the highest common divisor of x and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*j**2 + 533*j**2 + 404*j**2.\nAnswer: 165*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-10)\/113015) + (-3)\/(-1). Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(26\/((-2808)\/918)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8414, 16826, 25236, 33644, 42050, 50454, 58856?\n\"Answer: -d**2 + 8415*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 3*g**3 + g**3)*(-2*g**2 + 4*g**2 + 0*g**2) - 3*g**5 + g**5 + 4*g**5 + 7*g**5 + 0*g**5 - 3*g**5 + (2*g**4 + 0*g**3 + 0*g**3)*(g + g - g).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6640?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63904797 and 58095270.\nAnswer: 639047970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 2*m**2 + 2*m - 1 + 6*m**4 + 4 - 1 in the form o*m**3 + y*m**4 + x + r*m + j*m**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 1. Let h = -327 + 328. Let b(r) = -7. Determine h*b(f) - 6*q(f).\nAnswer: 6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 1, -2\/51, -0.4?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 747*k**4 - 274 wrt k.\nAnswer: 2988*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827 - 253 = 70*i - 756 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 145*o - 1602. Is 5 a factor of h(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12*(204\/(-108) - -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35642490 divided by -913910\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3785 = 30*j - 25*j. Let i = -749 + j. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-5)\/(15\/(-6)). Is 9 a factor of m\/6 - 202\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129 + 124. Let t = 0.1 - -3.9. Let q be -1*(-9)\/21 + (-1)\/(21\/16). Which is the nearest to t? (a) r (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*m*r*s - m*r - 486143*m*s**2 + 2*r*s**2 - 5473660*r - 1 wrt s.\nAnswer: 20*m*r - 972286*m*s + 4*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1155500515?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486 and 5184?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 880*o**2 + 11*o - 87. Let q be k(17). Is q\/30 + 9 + 8\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2237252153 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -755972 and -4.\nAnswer: -755976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 5, -5, -1 in decreasing order.\nAnswer: 5, -1, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -191106 and -0.4.\nAnswer: 76442.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172195594 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: Calculate prob of sequence xxx when three letters picked without replacement from {g: 5, x: 9, e: 2}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -13*b**6\/120 + b**5\/30 - 3*b**4\/8 + 869*b**2. Let l(r) = -6*r**3 + r**2 - 4*r. Give 9*l(w) - 4*p(w).\nAnswer: -2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f = 64*f - 85 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**3\/x)\/x))\/(x\/(x*x\/(x*x*x**1*x*x))*x))**(-38) assuming x is positive.\nAnswer: x**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 550\/7 + -78. What is the biggest value in 44, 1\/8, h?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1685*x**4 - 874*x**2 - 6218220*x.\nAnswer: 20220*x**2 - 1748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from oooooooooofoooo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 - 2*r + r - 2*r**2)*(0*r**2 - 3*r**2 + 2*r**2) in the form v*r**3 + y*r + a*r**4 + h*r**2 + u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2243 = 2259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 3*x**7\/14 + x**6\/10 - 27*x**5\/20 + 3*x**4\/4 + x**3 - 28*x. Let z(h) = 0. Calculate h.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -349\nAnswer: 6282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1499\/12 - -125. Let c(s) be the second derivative of -w*s**4 + 0 + s - 3\/2*s**2 + 0*s**3. Find the first derivative of c(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 - 7*j - 1. Let d(a) = 2*a + 19. Let n be d(-11). Let r be b(n). Suppose r*k + 16 - 174 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6530 - 19592\/3. What is the second smallest value in u, -63, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37386507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/3 - b**2\/2 + 7*b - 5. Let h be s(0). Let d(n) = 2*n**2 - n**2 + h - 5 - n. Give d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -459825.3 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/((-2)\/9))\/((-307)\/(-2456)). Suppose 16*a = g*a - 14540. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1764 divided by -1164.\nAnswer: 147\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007159 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, t: 2, s: 6}. What is prob of sequence ssw?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570056581.\nAnswer: 570056581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n - 3. Let s(p) = 1. Let b(m) = -5. Let k(x) = -b(x) - 4*s(x). Let i = 1028317 + -1028322. Determine i*k(u) - g(u).\nAnswer: 9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 18. Calculate h(-8).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 71 = 20*u. What are the prime factors of u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2\/5 - 6042*o + 892800 = 0?\nAnswer: 150, 9920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6457662 divided by -2152554\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 5*j**2 + 174*j - 6. Determine z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8709 - -8709.10839. Let p = -0.109 + m. What is p rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/3788283 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 79*q**2 + 90*q**2 - q + 1 + 87*q**2 - 350*q**2 + 89*q**2. Let r = 7 + -11. Let z(c) = -c**2. Give r*z(p) + k(p).\nAnswer: -p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0 + 11\/2*z**2 + 9*z - 53\/6*z**3. Does 25 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -313.4 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 4*m**2 - m - 2. Let x be k(-4). Suppose -2*r + 2*o = o - 10, 2*r - x = 5*o. Suppose -2*h + 1 + 5 = 0. Solve -h*c = -0*c - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/57)*(u**(-24)*u)\/u*u*u assuming u is positive.\nAnswer: u**(-1252\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:43 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -7*s - 3 - 27 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from vvvvqvyvv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.7, -161?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 294*z**2 + 584*z + 2. What is d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/34901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 15*s - 16. Let j be b(16). Let w(q) = -q**3 + q**2 + q + 298. Is w(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1556256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13289, -26610, -39931, -53252?\nAnswer: -66573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 - 5*i**3\/3 + 7*i**2\/3 - i.\nAnswer: i*(i - 3)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 74403356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/(b\/(b*b\/(b**(-2)*b)))*b)*b)\/b))**(20\/9)*(b**0\/b)**43 assuming b is positive.\nAnswer: b**(-307\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 9*j**7\/7 + 13*j**3\/3 - 7. Find the third derivative of f(x) wrt x.\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + 2 + -5 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 386 or 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1291 + -1284. Solve 3*h + h + 3*x = g, 2*x = h - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1757 and 101\/12.\nAnswer: 21084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j + 1. Let h be q(1). Let o(p) = -p**2 + p. Let c(f) = f. Let d(i) = h*c(i) - o(i). Let k(x) = -x. Determine k(d(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:42 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.9, -0.3, -1\/4, 0 in decreasing order.\nAnswer: 1, 0.9, 0, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**2)*(((j*j**(1\/5)*j)\/j)\/j)\/j*(j\/j**(-6))\/j**(-5))**(-32\/7))**(-35) assuming j is positive.\nAnswer: j**2112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-56144)\/(-8228) - 9\/(-51)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 102.94. Let o = i - -8. What is the second smallest value in o, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 2*c**7\/21 + 14*c**6\/5 + 134*c**5\/5 + 74*c**4 - 90*c**3 - 486*c**2 - 69*c - 1. Determine f, given that k(f) = 0.\nAnswer: -9, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 84 + 37 + 0*g + 4*g**3 + g**3 + 47.\nAnswer: 5*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79cb (base 13) to base 4.\nAnswer: 10022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -15)\/(2 - 0). Suppose a*x = 5*d - 0*x - 48, 2*x - 52 = -5*d. Solve 0 = -g + 2*h - d, 5*g + 2*h + 4 = 14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8135 + -15867. What is the remainder when n\/(-77) + 4\/14 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 46*i**2 - 149*i + 24. What is w(-19)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 = -6*g. Let p be 10\/g - (-2)\/(-1). Let n(i) = -3 - i + i**3 - p + 0. What is n(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6718 + 6740. What is the nearest to -2\/9 in 0.03, -5, a?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19679258.\nAnswer: 2, 9839629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstsssssst. Give prob of sequence stst.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, -0.2, 18, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 2*z**3 + 1 - 3\/2*z**2 - 3\/4*z**4 + 0*z. Suppose w(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 2*z. Let r(j) = 31*j**3 - 19*j**2 + 12*j. Give -r(f) + 6*s(f).\nAnswer: -31*f**3 + 13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2875042 is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/46 and (-1 + 194\/12)\/(440\/165)?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 164899*l**2*q + 14751*q with respect to l.\nAnswer: 329798*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -9\/4. Determine k, given that -1\/4*k**3 + 1\/4*k - 1\/4 + t*k**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/19 in -92, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-78)\/(156\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128))\/(sqrt(144) + 3*sqrt(144)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -299 * 0.1\nAnswer: -29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94870329?\nAnswer: 3, 31623443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y + 4190 = 37*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/4404 and -13\/40.\nAnswer: 44040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 648*b - 10388. Determine u(16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/1225 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**3 + 5*h**2 - 5*h - 3. Let m(g) = -3*g**3 + 4*g - 9*g**3 + 23*g**3 + 2 - 4*g**2. Let v(b) = 4*m(b) + 3*y(b). What is v(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by 5?\nAnswer: -106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5*n*n)\/n)\/(n*n**2)*(n**(1\/7)\/n)\/n*n**14 assuming n is positive.\nAnswer: n**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 2909*z - 52659. Determine l(-18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**3\/5 - 768*g**2 - 7692*g\/5 - 3848\/5 = 0.\nAnswer: -1, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -5. Let u be (8\/(-20))\/(3\/5). What is the smallest value in d, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -730.99965 + 731. What is y rounded to five dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -690117, -1380198, -2070279?\n\"Answer: -690081*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 146672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/(-42))\/((1\/1)\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 12. Let o be v\/(-12)*-1*9. Suppose x - j = 3*x - 33, o*x - 4*j = 44. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 + 3 = 0. Let o = h - 1. Factor f**4 + o*f**3 - f**4 + 6*f**4 - 4*f**4.\nAnswer: 2*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-102)\/18 + 2\/(-6). Let g be j\/(-4)*(-50)\/(-3). Let c(i) = i - 2. Let w be c(5). Solve w*t = 8*t + g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 52002455276?\nAnswer: -52002455275.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/15 + 1534*l\/5 + 4608\/5.\nAnswer: -2*(l - 2304)*(l + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96.589617 + -67501494.410383. Let n = 67501549.9999979 + k. Let u = 41 + n. What is u rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 860*d - 18937. Determine h(23).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -73 + 13. Sort f, 4, 0, -3 in descending order.\nAnswer: 4, 0, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 106*t - 107 = 0 for t.\nAnswer: -107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 4*l**2 + 3*l - 7. Let h be v(-5). Suppose h*p - p = 6. Solve 0 = f + p*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16100175433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 + 126.128. Let l = z + -5.128. Let g = 1 - 0.9. Which is the nearest to g? (a) l (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from gbguu?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 + 3*o**4 - 2*o**2 - o**4 + 2*o + 0*o**3 - o**3 as b + q*o**4 + a*o + g*o**3 + p*o**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 21 = -3*s, -4*s + 5*s - 2*i + 9 = 0. Does 6 divide 3*(s - -2) - -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7772908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ggggffgggg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b + 12. Find the second derivative of t**4 + t + t**4 + 3*t**4 - 4*t**b wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18732.69944 - -18723. Let z = a - -9.7. What is z rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -5, 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032) + 1*sqrt(4032) - sqrt(4032))*1)\/(sqrt(484)*2 - 2*sqrt(12)\/sqrt(3))*3 + 1.\nAnswer: 1 + 9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/315)\/(13\/((-910)\/(-10))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5794*f**3 - 7692*f**3 - 18914*f**3.\nAnswer: -32400*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -311.8 - -311.1. What is the closest to -1\/3 in 4, j, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8194.94 to the nearest one hundred.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 37 + 47 - 171 + 4*w + 41.\nAnswer: 4*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3884846774 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 101 = -37. Suppose 4*g = 63 + 97. Suppose -2*w = 2*w - g. Calculate the lowest common multiple of x and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(198\/89 + (-4)\/2) and (-7)\/(154\/4) + -2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -45. Let x(s) = 6 + 7 - i - 1 - 6*s**2 - s**3 + 7*s. Give x(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (17 - (23 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*h + 36 = 0. Is ((-12)\/(-18))\/(h\/1845) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -58.9. Let v(t) = -1 + t + 2 + 1 - 2*t. Let q be v(0). Put q, 0.06, b in increasing order.\nAnswer: 0.06, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(90)\/sqrt(2)*1.\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -41*o - 1. Let h(c) = 8051*c - 1826. Let j(z) = -53*z + 12. Let d(k) = -6*h(k) - 913*j(k). Calculate d(b(n)).\nAnswer: -3403*n - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u - 1322 = -4*r, -5*r = -u - 1651. Suppose 0*h + 2*q - 7 = -3*h, -3*q + 12 = 5*h. Suppose 2*v - r = -h*v. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3, -8, -710?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*s = 125*s + 10*f + 46, 5*s + f = 77 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 26*y - 181. Let g be w(-13). Put 4, -5, g, 10 in increasing order.\nAnswer: g, -5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*v - 22, -2*v - 6 = -3*v - 5*n. Let w(c) = 6 + 5*c + c**2 + 0 - 2. Let m be w(v). Put 3, m, 2 in ascending order.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 194*q - 226. What is p(0)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37117*v**5*z**2 - 3*v**2*z**2 + 2*v**2*z + 2*z**2 + 62 wrt v?\nAnswer: -2227020*v**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 9*r + 22 - 4199 - r**2 - 9*r + 22*r to i*r**2 + h + a*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (23 + -40) - 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 19*x + 4. Let q(y) = -17*y - 3. Suppose -3 = -s - 5*p, 4*p = -0*p + 4. Let l(n) = s*f(n) - 3*q(n). Give l(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let p(r) = r + 611. What is x(p(l))?\nAnswer: -2*l - 1222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*b + 56*b + 29949. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 43. Let g be (-5)\/(-10) - 21\/(-2). Let c = g - -40. What is the greatest common factor of j and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.07 (b) -1\/3 (c) 31 (d) -1.115 (e) -4 (f) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - r**2 - 2*r**3 - 4 + r**2 + 3*r**2 + 3*r**3. Let s be j(-3). Let b be 9 - (3\/3)\/s. Solve -3*v = 2*v + b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = 4. Suppose -l + 33 = -3*z + l, -27 = 2*z - 3*l. Calculate the remainder when 19 is divided by (-1)\/(o - z\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 20 = 6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utuu when four letters picked without replacement from {t: 3, u: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t = -32*t + 172 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9522.904ml?\nAnswer: 9.522904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*n - 748, -3*n + l - 884 = -325. Which is smaller: -201 or n?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -221 (b) -1\/3 (c) 2.0009 (d) -3 (e) 1 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -8*u. Let p(x) = u - 4 - 343*x + 352*x - x**2. Let j = 12 + -6. What is p(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*u - 5*u, -5*i - u = -16. Suppose 3*l + 5*h = 36 + 35, 4*l = -i*h + 80. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1) + -2 + (22 - 15 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20816819.\nAnswer: 20816819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12152 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + 0 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:04 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -1648671.\nAnswer: -8\/549557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 13 + (-73 - -65)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**3\/8 - 12108*a**2 - 2345561757*a\/8 + 2345755489\/4 = 0.\nAnswer: -48433, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -2 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2) + -12*(-95)\/(-228)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -9243171.1.\nAnswer: -924317.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffrffffff. What is prob of picking 4 f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 6. Let a be h(-10). Is (1 - 6\/4)*a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17409*a - 20969 wrt a.\nAnswer: -17409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 1. Let p(v) = 4*v + 1. Give -p(q) + 2*z(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-78) + 147591\/(-3627).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -4, 527, 0.1 in descending order.\nAnswer: 527, 3, 0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = 0. Let a be ((-4)\/5)\/((-2)\/5). Suppose 0 = -t*s - a*s + 18. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 11 = 2*n + 11, -4*s - n = -19. Let g = 10 - s. Suppose g*q + q = 500. What is the greatest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Find the second derivative of x + 3*x**4 + g*x**4 + x - 4*x**4 wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -9 - 5 - (-45)\/10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 12:21 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127 != 1127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -561, -974, -1243, -1368?\n\"Answer: 72*n**2 - 629*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5589181.\nAnswer: 13, 429937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 49979\/241 and 207 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 50*j**2 + 8*j - 54. What is the remainder when g(4) is divided by 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9994, 40491, 91360, 162631, 254334?\nAnswer: 366499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267257 is divided by 288.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - 45*f + 49. Let h(l) = 2*l**2 + 22*l - 24. Let s(q) = 9*h(q) + 4*v(q). Factor s(k).\nAnswer: 2*(k - 1)*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 + 120?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - -208. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(((-4)\/(-248))\/1). Suppose 0*i = 5*i - 2*y - j, 2*y = i - 48. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20384, 25589, 30790, 35987?\n\"Answer: -2*g**2 + 5211*g + 15175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 16 - (-7 + -3 + 20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1480778 <= -1480778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 315? (a) 4 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 17, u: 2}. Give prob of picking 4 c.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-6)\/(-30)*(-10)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -2*n + 0 + 1\/2*n**3 + 0*n**2. Let b(g) = g. Give c(b(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95725673*d**4 - 1074136*d**2 + 8?\nAnswer: 2297416152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 830*g**3 + 2 - 5 - 285*g**3 + 4. Let n be c(1). Let y = -792 - n. What is the greatest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -558?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.876681mm?\nAnswer: 0.000006876681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 5*o - 4. Let b be x(2). What is the remainder when 92 is divided by 43\/b - 10\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (2 + 0))\/((-33)\/264*-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 596242972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 493197.8 years?\nAnswer: 4931.978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/4)\/(32\/10))\/(6\/(-12))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let t be r\/2*10\/(-45). Let u = -1.4 - -0.4. Which is the second smallest value? (a) t (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-54)\/48))\/((-16)\/108)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:43 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v - 5*k = 20, 0 = v - 4*k - 16. Let z = 7 + v. Let u(a) = -a**3 + 8*a**2 - 4*a - 7. What is the units digit of u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -256.5 + -32.5. Let y = -721.7 + 447. Let q = h - y. What is q rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 h, and 1 w when four letters picked without replacement from {w: 1, h: 3, q: 6, b: 9}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*x = 44, 4*q - 30*x + 31*x = 244. Calculate the highest common factor of q and 612.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*f - 0*k - 19, 2*f - 4*k + 26 = 0. Let n be 0 - f\/6*6. Solve 0*q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529902.565 take away 0.3?\nAnswer: 1529902.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5.276 (c) -57.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -95128 divided by 4?\nAnswer: -23782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227625 is divided by 233.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4) - 1)*4. Let u = -36281\/6 - -6032. Find the common denominator of u and 8\/z - 261\/54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/27 - ((-74680)\/6 + (-1 - 2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64674914 - -50225086. Suppose 4*q = 4*s - 153200000, 0 = -3*q - 2*s - 0*s - p. What is q rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/56 and -103\/70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -133, -152, -189, -250?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107 + 47*z**3 + 107 - 2*z**3 + 7*z**3 - 3*z**3 + (-2 - 3 + 6)*(0*z**3 + 3*z**3 - z**3) to the form x*z**3 + c*z + j + u*z**2 and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(0*j**5 + j**5 + j**5) - 175*j**5 + 886*j**5 + 172*j**5.\nAnswer: 887*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5309451 a multiple of 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 9*x**2 - 7*x + 49. Let p be b(10). Suppose 121 = 8*g - p. Calculate the greatest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*d - d + 12, 0 = d + 3. Suppose 8 = 2*m - 0. Suppose m*j - 58 = -z*b, 2*j = -j + 3. Solve -2*q - 2*a - b = 0, 19 = -q - 2*a - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 31547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1652.4394 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 15. Let u be -2 - (-42370)\/p - 1. Let g = u + -3543. Calculate the common denominator of 79\/20 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 395 + -396. What is the closest to h in -0.7, 2, -3, -0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 11428 = 4*b + 11668 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 97418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19247\/13 or -1480?\nAnswer: -1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/39 or 34321?\nAnswer: 22\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3278*n - 9766*n + 6 + 3251*n + 3265*n.\nAnswer: 28*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1 - 2*o**2 - 4*o**2 - o**3 + 4*o**2 + 2*o. Let l be n(-3). Suppose l*z + 7 = 3*z. Let c(p) = -2*p - 9. Determine c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5319*a - 390 + 86 - 14106*a + 139. Let j be v(5). What is j rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -241\/6 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -153605 (base 11) in base 3?\nAnswer: -110010211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.0493 + -0.0493. Sort 1\/6, 0.3, n, 0.02.\nAnswer: 0.02, 1\/6, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54525 is divided by 5354?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**5\/20 - 7*i**4\/12 + 5*i**3\/6 - 3*i**2 - 3*i - 291. Calculate s(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1853537695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 110 = -l, -65 = -3*s + 3*l + 283. What is the second derivative of s*m**4 + 362 - 447 + 168*m**4 - 2*m wrt m?\nAnswer: 3372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m + 9 + 10 + m - 6*m + 15*m - 18.\nAnswer: -5*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ggllllglggllllllggl.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 10)*(-3 + 3 - p) + 6*p - p - 3*p.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 l, and 1 u when four letters picked without replacement from {i: 3, e: 3, l: 2, u: 1, r: 2, f: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -62, -68, -70, -68, -62, -52?\n\"Answer: 2*c**2 - 12*c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42581 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -3464658478546.5.\nAnswer: -3464658478550.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 164401, 164409, 164413, 164413, 164409?\n\"Answer: -2*u**2 + 14*u + 164389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (4 + -2) - -210. Suppose k = 4*z - 0*z + a, -4*z + 197 = 5*a. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21289704, -42579409, -63869114, -85158819?\nAnswer: -106448524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4, -y + 0*f = -3*f - 1. Let g = -35 + 314\/9. Let i = 560 - 559. What is the closest to i in -2\/7, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 364\/9, 0.11.\nAnswer: 1\/12, 0.11, 364\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18842767 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01631 + -7?\nAnswer: -7.01631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-1 + 2)\/2). Let l(n) = o*n**2 + 0 + 0. Let m(d) = 4*d**2 - 6*d**2 + 0*d**2 + d**2. Calculate l(m(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.097 - -2.797. What is the third biggest value in 2, 1\/4, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + sqrt(2) + (sqrt(6) + sqrt(54))\/sqrt(3))*6 + (-1*sqrt(36))\/sqrt(2) + -1 + 0.\nAnswer: -1 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -14, -381\/5, 0.2, -1?\nAnswer: -381\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 1 = -w + 5*w, -2*o = -3*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4593 - -4714. What is the remainder when 2659 is divided by m?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - z**2 - z - 2. Let c(b) = -b**4 + b**3 - 9*b**2 - b - 8. Let q(l) = c(l) - 6*j(l). Solve q(y) = 0 for y.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3152436 + -4?\nAnswer: 3152432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773157 is divided by 99.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/60 - i**5\/10 + i**4\/6 - i**2. Factor q(a).\nAnswer: 2*a*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 2*i**3 + 19 + 2*i + 26.\nAnswer: -2*i**3 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1*(13 + -16). Suppose -104 - 151 = -w*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-189)\/(-36))\/21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n - 106. Let d be s(8). Let x be d\/4 + (189\/(-18) - -11). Factor x - 1\/5*z + 6\/5*z**3 - 8\/5*z**4 + 0*z**2 + 3\/5*z**5.\nAnswer: z*(z - 1)**3*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21684238*b*t**5 + 3707*b*t**2 - 1687*b*t wrt t.\nAnswer: -1301054280*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1938279 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d + 56. Let y be r(-23). Let w = 87 + y. Is 34\/9 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, r: 1, e: 6, n: 4, o: 2}. What is prob of picking 1 o and 1 m?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 218, 334, 448, 560, 670, 778?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 67*m**3 + 9*m**2 + 9*m + 3. Let r(s) = 33*s**3 + 5*s**2 + 4*s + 2. Let f(b) = -4*i(b) + 7*r(b). Let u be f(-7). Round u to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrvvvcvvrcvvcr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -1.4. Which is the biggest value? (a) -0.5 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 137010*g + 938587005.\nAnswer: 5*(g + 13701)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 379*l - 28 = -381*l, 2*f = -2*l + 22. Solve -47*y + 44*y = f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31044931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3)*-2 + -2 + sqrt(1700) + (sqrt(68) - 2*-2*sqrt(68) - (0 + sqrt(68) + 0)**2).\nAnswer: -64 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Suppose 0 = 3*n + o*n. Suppose n = -5*m + 4*s + 3, -5*m + 4*s = 5*s - 18. Solve 0 = 3*q - 2*q + m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, 631, -0.78?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 9 - 13 = 2*h, 4*a = 2*h - 38. Let y = a - -39. Does 15 divide (-1)\/(-1) + -3 + y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 673*q**2 + 1419*q**2 + 25 - 25 as p + a*q**2 + i*q and give a.\nAnswer: 2092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -656 + 656.5. Suppose 2*w + 2 = 3*w. What is the nearest to w in 0.3, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -6808.\nAnswer: 27\/6808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21045 = -85*c + 16795 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 - 23*d + 51*d - 26*d + (4 - 1 - 2)*(-d + d + d) + 2*d + d - d + 0*d - d + 2*d.\nAnswer: 6*d - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b = -2*p + 45*b + 32, 3*p + 57 = 10*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 - 63.3. Let t = -60.9712 - l. Let s = -0.032 + t. Round s to four dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 12*n**2 + 0*n**3 - 5\/24*n**4 + 0 + 0*n. Let s(z) = -z - 1. Let i(h) = 1. Let y(g) = i(g) + s(g). Determine y(v(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 367*w**3 - 26*w - 10*w - 24*w**3 + 1 - 93*w wrt w?\nAnswer: 2058*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1330 = 2*c, 0*c + 5*c = -4*a + 1771. Calculate the common denominator of 77\/6 and (1\/(-4))\/(6\/a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2102?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8769, 17540, 26311, 35082?\nAnswer: 43853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 8*o + 2. Let u be v(-8). Suppose -3*m - 4*f + 107 = 0, 2*m + u*f - 2 - 72 = 0. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 + 73276*g\/3 + 1342343044\/3.\nAnswer: (g + 36638)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 12*l + 43 + 17 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21660 and 8259319?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 7. Let r be g(6). Let t(p) = p**2 - p + 1. Let s(u) = 9*u**2 - 2*u + 4. Let o(w) = s(w) - 3*t(w). Is 4 a factor of o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-3 - 1) + 9. Let p = w - 7. Determine g so that -1 - 4*g**3 - g**2 + 2*g - 123*g**4 + 3*g**p + 122*g**4 + 2*g**5 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*q + 1773, -5*q - 5 = -0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1697 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 1, f: 1, e: 1}. What is prob of sequence fe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30879*x - 59953*x + 29083*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1602881 rounded to five dps?\nAnswer: -0.16029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-70) - 6\/(1050\/(-145))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*t**3 - 551*t**3 - 84*t + 1649*t**3 + 84*t - 546*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55891591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 3\/((-3)\/4))\/2. Solve -v = -5*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -21164, -2\/7?\nAnswer: -21164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4258505864 to two dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 99 = 13. Let o(j) = 2*j. Let v(a) = 10*a. What is g*o(n) - 3*v(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040103 rounded to seven dps?\nAnswer: -0.0000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(210) - sqrt(210))*-4 - sqrt(210))\/(sqrt(28)\/sqrt(16)))\/(sqrt(1210)*-2 + -3*sqrt(1210)).\nAnswer: 2*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - -3.2. Let g be -5 - (-1)\/(3\/21). Put -3, g, z in increasing order.\nAnswer: -3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-33)\/(-18) + 12\/18)*10. Determine h so that 36*h**2 + c*h - 31*h**2 - 25 - 5 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 25*f - 2 - 339*f - 151*f)*(2*f - 1 + 1) to r*f + g*f**2 + d and give g.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 + w**2 - 5*w**2 - 10*w. Calculate the smallest common multiple of q(-6) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1413*f + 251 - 1289*f + 1314*f + 1051*f wrt f.\nAnswer: 2489","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a**3*o*q**3 + 41*a**3*q**3 - 9*a**3 - a**2*q**2 + 76*a*q**3 - a + 86*o wrt a?\nAnswer: -54*o*q**3 + 246*q**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 103*a**3 + 5*a**2 - 4*a + 3. Let r be h(2). Suppose -6053 + r = -6*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2)*(-3*u + 3*u - 9*u) + 2*u + 0*u + 0*u - 6*u + 3*u + 4*u - u + 2*u - 2*u + (4 - 2*u - 4)*(-5 + 5 - 1) to v*u + n and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -352\/3 + 3890\/33. What is the closest to 0.1 in c, 3, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 12019112*y - 24038208.\nAnswer: -4*(y + 2)*(y + 3004776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Suppose 0 = b*d - 9, u - 5*d + 31 = 5*u. Is ((-18)\/u + 4)*-1438 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 1, n: 7, q: 4}. What is prob of sequence qq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6075.968 - 6202.9. Round j to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 321 = 2687. Suppose 382*n = z*n. Let k(l) = l**2 + l - 8. What is k(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25 - -26)\/((-2)\/14 - 0). Which is the third smallest value? (a) -0.4 (b) -0.03 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -6 - (27 - (53 + -32))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.303061124 and -2.\nAnswer: 0.606122248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + d - 5. Let f(p) = -6 + 9 - 4 - p**2 + 2. Give c(n) + 4*f(n).\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*z - 341 - 23 = 0. Let o(m) = -m**3 - 6*m**2 + 10*m - 29. Calculate o(z).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 14 - 9. Let i = -4.4 - -5. Let l = 0.1 - i. Which is the third smallest value? (a) l (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.999725 - 44. Round y to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125637?\nAnswer: 3, 41879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 + 88 = 0. Let m = 0 - q. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let k(j) = 9*j**3 + 2*j - 1. Let z be k(r). Let f be (-4)\/z - 12\/(-5). Solve 0*t + 9 = 5*c - 3*t, -8 = -4*c + f*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*t + 59*t - 129. What is the nearest to 2 in -0.5, t, 5, 0.01?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 23. Let q(t) be the first derivative of 0*t**4 - 1\/15*t**6 - 1 + 0*t**2 + 0*t**5 + 0*t + 0*t**c. Let q(b) = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09503864201 minus 0.042?\nAnswer: 0.05303864201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 4081.\nAnswer: -26\/4081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 2*d, -4*h + 8*d - 26 = 3*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -57, -61, -65, -69, -73?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 5, t: 3}. What is prob of sequence tu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29814 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - -39 - -38 - 15.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323.0855 plus -0.354?\nAnswer: 322.7315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5*((-13869)\/15 + 16) is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13568755*x**3 + 22518*x**2 + 1667*x wrt x?\nAnswer: 81412530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659484.7 times 8.8?\nAnswer: 14603465.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/5)\/((-2)\/10). Let w(s) be the second derivative of -11\/4*s**r + 0 - 2*s - 8\/15*s**6 - 1\/2*s**2 + 2*s**5 + 5\/3*s**3. Factor w(m).\nAnswer: -(m - 1)**2*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39953703347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13)*-2 + 4 - (sqrt(91) - 3*sqrt(91)*-3)\/sqrt(7).\nAnswer: -12*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/3)\/s**(-12))**(-9\/4) assuming s is positive.\nAnswer: s**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 7*i**2 - 2*i + 6. Let s be (-6 - 1)\/(1 - 0). What is the smallest common multiple of l(s) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -3*j - 22, -2*h - j = 0. Let p be (-1)\/h*(-6 - 0). Differentiate -3 + 0*y**p + y**3 + 5 wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2968 divided by 424\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 7*x**2 + 12*x + 27. Calculate q(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217 (base 10) to base 12.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 8 = 19*f. Let o be 15\/f*(-16)\/20. Let l = -1\/150 - 443\/1050. What is the third biggest value in l, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 29. Suppose -3*s + 3*d = -246, -d + 374 - u = 4*s. What is the units digit of 8\/10 - s\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330551797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*r + 7 = 169*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1034454 - 2409026 + 876979 = -28584*z + 9287*z for z.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -5 (c) 0 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*((sqrt(85) - -2*sqrt(85))*-2 + 3*(sqrt(85) - (sqrt(85)*-1 + sqrt(85) + sqrt(85)))))\/((1*sqrt(495))\/(sqrt(110)\/(sqrt(160) + sqrt(10)))))**2.\nAnswer: 397\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 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: Is 7181951 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**2 + 4099*k - 12298. Give x(3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2602560 and 41?\nAnswer: -106704960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 16. What is the nearest to -0.2 in 4, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 15*r - 53. Let j be n(9). Which is smaller: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*s - 4*g, -3*g = -5*s - g + 50. Let a(o) = -4*o - 16. Let v be a(-6). Suppose 4*h + s = -5*p, -3*h - 11 = v*p - 3*p. Solve h*l + 2 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*s**6 + 24850*l**3*s**2 - 2*l**2*s**2 - 7457701*l*s**4 + 3*l*s**2 - 3*s**2 wrt s.\nAnswer: 240*l**3*s**3 - 178984824*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296304.6 nanoseconds to minutes.\nAnswer: 0.00000493841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*r - 9 = 0, 2*h + 10 = -3*r + 29. Let t = h - 5. Suppose 5*s = -5*a - t*a + 50, 2*a = -3*s + 23. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s**2 + s - 7. What is the units digit of m(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 19 = -7. Let s(d) = q*d - 8*d - 15 + 14. Suppose 2*z + 4*g = 6, 5*g - 4 = 3*z - 2. What is s(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 - 11*q - 8. What is s(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - 22592\/24. Calculate the common denominator of 95\/14 and g\/(-112) - 8\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 11*y\/3 - 2\/3.\nAnswer: (y + 2)*(6*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 - 2*i - 5. Let u be 0\/1 - 6\/(-3). Let n be (0 + 2\/u)*-5. List the prime factors of b(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 38774.2.\nAnswer: 38773.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 - 56*l**3 + 244*l**2 - 336*l + 144 = 0. What is l?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-9))\/((-3)\/(-18)). Find the third derivative of 0*y**2 - y**6 - j*y**2 + 3*y**2 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380568.\nAnswer: 2, 3, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:32 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**3 - 12*u**2 - 37*u - 27. Give c(12).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(3 + 7 + 1)*(3*c**2 + 386*c - 386*c - 7) as y*c**2 + h + n*c and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -131. Calculate the greatest common factor of 171 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 7*j**2 - j + 9. Let a be f(7). Let c(q) = -2*q**3 + 3*q**2 - q - 5. Let d(i) = i**3 - i**2 + 1. Let g(n) = -c(n) - 3*d(n). Determine g(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 27*z**4 + 66*z**3 + 701*z**2 + 2657*z + 10. Let f(t) = -5*t**4 + 5*t**2 + t - 2. Let k(v) = 5*f(v) + u(v). Factor k(r).\nAnswer: 2*r*(r + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. What is the third derivative of p**4 + 2*p**2 + 5*p**4 + 0*p**4 + p**r wrt p?\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/90 and -137\/9396.\nAnswer: 46980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -997c (base 16) to base 4\nAnswer: -21211330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/41, 5567, -4 in ascending order.\nAnswer: -4, -3\/41, 5567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18\/59 - 274\/649. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -53. Let v(d) = -d**2 - 4*d - 2. Let h be v(-4). Let z = b - h. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-6))\/(-5 + 381\/78). Solve -6*s = -c*s + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*j + 8 + 40, 9*j + 129 = -4*a + 14*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027778719*-0.2.\nAnswer: 0.0055557438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z. Let m(f) be the first derivative of -56*f**2 - 7*f + 2696. What is c(m(h))?\nAnswer: -336*h - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1488 + 39*n**4 + 1471 - 2*n**3 - 2959 + 12*n**2 + 29*n**2 to p*n**3 + f + j*n**4 + a*n + u*n**2 and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 144. Is l(-24) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1406444*p**5 + 1879412*p**2 wrt p.\nAnswer: 84386640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**4 - 17*n**3 - 29*n**2 + 19*n + 24. Let k(a) = -12*a**4 + 69*a**3 + 120*a**2 - 78*a - 99. Let l(t) = -9*i(t) - 2*k(t). Factor l(s).\nAnswer: -3*(s - 6)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 + 14*w**3\/3 - w**2\/2 + 9*w + 11. Let z be i(14). Let q(d) = -4*d - 2. Give q(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118158588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*3 + 3\/(-1). Suppose -4*j - 108 = -3*n, q*n - 2*j - 99 = -j. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1 - 1) + -4)\/(-4). Which is the biggest value? (a) 0.5 (b) o (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6}. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + 7490\/(-112) + -5. Is r not equal to -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1051623 and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13605, 27182, 40759, 54336?\n\"Answer: 13577*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 + 79. Which is the closest to p? (a) -2\/7 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 6*u**2 + 2 + 3*u + 4*u + 14*u**3 - 11*u**3 - 2*u**3. Let f be -8 + (2 - -1)\/3. Let i be h(f). Solve i*l + l - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823564717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.64 in -5, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -510 - -681. What is the highest common divisor of 57 and i?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940786 and 28798?\nAnswer: 175926982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {a: 2, r: 2, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 s when three letters picked without replacement from llssllhssl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -138010 rounded to the nearest 1000?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660 and 6?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5 + l**3 + 2*l - 2 + 1 - 5*l**2. Let g be h(6). Let s = g + -22. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/867 in 0.1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3190*u**6 + 6*u**2 - 101*u - 1?\nAnswer: 382800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*g**2 - 44*g**2 - 47*g**2 + 148*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 5592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6913*o + 48390. What is g(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49405 and 275725.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2\/11 (c) -2 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/2, 3, 0.857, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3, 2\/7, 5, 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + 0*q + 3*q)*(-4*q - 6*q + 0*q) as j*q + f*q**2 + g and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 379*g**2 - 33*g + 217. What is the hundreds digit of x(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 - 13*y**4 + 16*y**3 + 188*y**2 + 64*y - 256 = 0. What is y?\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18918 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c0a79 (base 13) in base 5?\nAnswer: 42011042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = x + y - 2, -y = 3*x + 2. Solve x = 10*m - 9*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 437 = 4*t - 3*v, -3*t = 4*v - 664. Suppose t = 5*o + 5*z, 136 = -2*o + 5*o + 5*z. Calculate the highest common divisor of 28 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 962.8206 millimeters?\nAnswer: 96.28206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*b - 22, -2*b + o - 2 = 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*k**3 + 32*k**3 + 41*k**3 - 282*k**3 + 40*k**3 + 12*k**2 + 33*k**3 + 101*k**3.\nAnswer: -k**3 + 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, m: 1, u: 5}. What is prob of picking 2 o and 2 u?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {f: 1, q: 3, h: 3, n: 1, w: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -781 - 1861*k + 781 to the form q*k + n and give q.\nAnswer: -1861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 428*j**2 - 3048*j - 11. Let y(i) = i**2 + 2*i - 1. Let c be y(-3). Suppose -k - 6 = -c*k. Calculate the lowest common multiple of k and b(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -158, 62, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9832*b = 327511 - 3055 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/305 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/((-37350)\/162)*20\/(-3)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from wswlc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 12*d**2 + 11*d + 1. Let t be b(-11). Suppose 0 = 3*o + 4*r + 11, -o - 2*r - t = -4*o. Does 3 divide (o\/(4 + -3))\/((-2)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 373 + -370. Suppose -5*a + b - r = 0, -a + b - 12 = -3*b. Let u(p) = 3*p + 2. What is u(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*y - 26 - 2, -2*q = 2*y - 4 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4736 and -19?\nAnswer: 4717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - a**2 + 2*a**2 + 2 to the form q + o*a**2 + m*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 12. Let z be (u - 1)\/4 + -3. Let b = z - -28. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2*g - 1. Let m be z(-2). Let u(b) = b**2 - b - 4. Let p be u(m). Calculate the greatest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 41 (c) -154\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3*d - 5. Determine h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1, -4 in decreasing order.\nAnswer: 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*m - 0*m - 3, 2*c = -4*m + 14. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -0.085?\nAnswer: 0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -530 + 532. Solve -35*t - k = -34*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 313060423 and 174.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 15. Suppose -29 = -6*n + 2*n - i*c, -c - 7 = -2*n. Solve 15 = -0*y + n*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 536115991 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*o = 2*v + 29, -5*o = v + 21. Suppose v*z - 363 = 97. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-116)\/(91\/(-77) - -1)?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l + 20*l - 17*l + 12*l**3.\nAnswer: 12*l**3 + 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(270)\/sqrt(6)*-4)**2 - sqrt(360)\/(sqrt(56)\/sqrt(7))) + 2.\nAnswer: -3*sqrt(5) + 1127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -603568*d + 720916 wrt d.\nAnswer: -603568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000194 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**7\/840 + k**6\/72 - k**5\/40 + k**4\/12 - 4*k**3\/3 - 1. Let b(v) be the third derivative of x(v). Determine b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 141. What is the smallest value in 15, p, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -291681700 to the nearest 100000.\nAnswer: -291700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7578\/11 + -688. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/36 and 9\/29504?\nAnswer: 265536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 846*1.4\nAnswer: 1184.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4097*q**4*r + 81*q**2*r + 514030*r wrt q.\nAnswer: 16388*q**3*r + 162*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvvgcccvvvvvmccvcvv. Give prob of sequence cv.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 72, 114, 158, 204, 252?\n\"Answer: b**2 + 37*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-274)\/(-1781))\/(2\/55978)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 81008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (23\/2)\/((-4)\/(-56)). Suppose 0 = -3*f + 391 + m. Suppose f = 3*j + 4*q - 8*q, 2*q - 58 = -j. Calculate the lowest common multiple of j and 22.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from yhzhkklkzyllxhy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*f = -f - 14, 0 = 3*f - 9. Suppose 9 = -2*n - n. Let s = o + n. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/3)\/(0 - 1). Let h = -1 - x. Let s = 13 + -11. Sort s, h, 4 in decreasing order.\nAnswer: 4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314911 is divided by 78718.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3582*i. Let u(m) = -389*m - 2. Calculate u(y(l)).\nAnswer: 1393398*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*t = 245*t - 128. Let j be ((-104)\/t - 5)*(-5 - 1). Let f = 2 + -5. Sort 5, j, f.\nAnswer: j, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 10) to base 12\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2216, -2114, -2012, -1910, -1808?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-126)\/135 - 1\/(-3). Let u = -1538 + 4615\/3. What is the closest to u in -3, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/2*c**2 + 3\/2*c**4 + 0*c + 3*c**3.\nAnswer: 3*c**2*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/11 - (-123)\/11. Suppose 3*i - 1 = 5*z - x, 0 = 5*i. Suppose -5 = 5*r, 3*n + z*r - 66 = n. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0 + 1)*-2. Let a be (-260)\/15 - v\/(-3). Is (-465)\/a - (-1)\/6 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 204 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (-2 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 + 4*h**2 + 123 + 131 + 123 + 132.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 713 and 186?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 915806261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*o**5 + 531*o**4 - 531*o**4 + (2*o**3 + o**3 - 2*o**3)*(o**2 + o**2 - o**2) + (-2*o**3 - 3*o**3 + 4*o**3)*(-2*o**2 + o**2 + 2*o**2).\nAnswer: 66*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*p**2 + 13*p**2 + 3*p**2 + (-1 + 1 - p)*(4 - 4 - 2*p) + (1 - 1 - p)*(0*p + 2 - 3*p + 0).\nAnswer: 37*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10926434 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1719, -1719, -1721, -1725?\n\"Answer: -u**2 + 3*u - 1721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*w - 435*w - 1848 = 0 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -11*2\/12. Let d = -407\/28 - -57\/4. Which is the closest to -0.1? (a) p (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*q - 421*q - 11685 = 0. Sort q, 1, 5, -4, 20 in increasing order.\nAnswer: q, -4, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9103750 and 6875?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*b*o**2 - b*o + 2*b + 178*o**5 - 34*o - 25 wrt o.\nAnswer: -116*b + 3560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d - 28*d + 10 - 17 + 7.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2777810 divided by -396830\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d + 0*d - 2*d)*(0 + d + 0)*(0 - 1 + 0).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 q when three letters picked without replacement from {c: 5, e: 4, q: 8}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -45*p**2 - 27*p - 68. Let z(y) = -16*y**2 - 9*y - 23. Let r(h) = -3*m(h) + 8*z(h). Let b be r(-5). Calculate the greatest common divisor of b and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*x - 4 - 31 = 0, 5*b = -x + 54. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/(24\/(-432)). Which is smaller: 7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259768968 divided by 4.\nAnswer: -64942242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -475*n**2 + 2*n + 71. Let c be a(-9). Let r = 4149541\/108 + c. What is the common denominator of r and 19\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, 1, -0.01, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*x + 109*x - 16188 = -55*x. What is the least common multiple of x and 8?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2707.497983 rounded to 1 decimal place?\nAnswer: -2707.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-1 - 4 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*x + 80 = 55*x. Suppose 0*a + x = -2*a - 5*j, -j + 23 = -5*a. Let w = -8 - a. Which is bigger: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -255 (b) 3\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1323 and 151\/18774.\nAnswer: 394254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -1406, -3341, -6338, -10577, -16238, -23501, -32546?\nAnswer: -43553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 328150 divided by -5\nAnswer: -65630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95222115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 2549*t**3.\nAnswer: -2549*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -3*l - 4, -6 = -15*b + 17*b - l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/4 - 185*j**2\/4 - 117*j\/4 + 305\/4.\nAnswer: -(j - 1)*(j + 61)*(3*j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((12\/(-30))\/(-1))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)*x)\/((x\/(x*x**(-1)))\/x))\/(((x*x\/(x\/x**(1\/3))*x)\/x)\/(x**0\/x))*x**(-3\/10)\/(x*x**(-3\/5)*x)*(x**(-1))**34 assuming x is positive.\nAnswer: x**(-7717\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-1 + 4)*(-72)\/3. Let j be (171\/r)\/((-1)\/210). Let q = j - -1511. Find the common denominator of q and -23\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 76.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k - 227776 = -228308 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 769 + -769. Let y = -2 + 4. Which is the closest to m? (a) 1\/2 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 1811\/9. Let w be 0*(-4 - -3)\/1. What is the closest to 1 in -15, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-1)\/4 - (-11)\/(-44). Let r(h) = -8*h + 8. Let x be r(z). Solve -6*g + 4*g = -x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 421 and 80411?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 308, 284, 240, 170, 68, -72, -256, -490?\n\"Answer: -p**3 - 4*p**2 - 5*p + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**3\/4 - 141*a**2\/4 + 36*a = 0.\nAnswer: -48, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/22843 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8153675, 8153681, 8153689, 8153699, 8153711, 8153725, 8153741?\n\"Answer: s**2 + 3*s + 8153671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9658 or 13832?\nAnswer: 13832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*g + 26 = -196*g - 4*m, m + 14 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356 and 9078.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103919754.\nAnswer: 2, 3, 37, 468107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - 263. Let v = l - -341.999709. Round v to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37\/4 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (149 + -127 - (59 - 3) - -4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 8.414684.\nAnswer: 42.07342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let g(c) = -156*c**2 + 317*c**2 - 160*c**2 + 22*c**3 - 1. Determine g(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 50 - 2. Suppose 305*h - 289*h = -48. What is the common denominator of 5\/12 and h\/8 - (-409)\/m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 2, o: 1}. What is prob of sequence ogg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6975176?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10946 is divided by 243.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 162 = y. Let d be (-592)\/6*y\/(-8). Suppose 2*h - d = 7*a - 3*a, 0 = 2*a - 6. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s**2 - 106*s**2 + 31*s**2 + 36*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/15 - (-162)\/(-45). Let a be (-60)\/5*1\/q. Suppose 0*g - 836 = -a*w + 2*g, 0 = 2*w + g - 555. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*o - 84*o + 8*o)*(-18*o - 1399 + 1399) to the form d*o + x*o**2 + s and give x.\nAnswer: 1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 117. Calculate the greatest common factor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17 - 5\/10*28. Sort i, -43, 2\/3, 0.6, -4\/7 in increasing order.\nAnswer: -43, -4\/7, 0.6, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4135107 (base 10) to base 15\nAnswer: -56a33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1936\/528 + (-768)\/207.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by -547.\nAnswer: 402\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32710 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20*l + 17. Let g(z) = 7*z + 6. Let j be (-1 - 1)\/2 - -1. Suppose 2*q - 12 = -j*q. Suppose -5*o + 93 = -4*r, r + o + 18 = 6. Give q*v(s) + r*g(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-16)\/(-112))\/((-2)\/(-7)). Suppose i = 4*j + 20, 4*a + 7*j - 9*j = 38662. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -23*r. Let z(w) = 7*w + 1. What is z(n(x))?\nAnswer: -161*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzxcxxqczhvchxczxxc. What is prob of sequence xhzh?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 432.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 3*w - 454083 + w**2 + 453972 + (5*w - 2*w - w)*(3*w - w - w).\nAnswer: 3*w**2 + 3*w - 111","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178.099995114 + 178.1. What is g rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232977 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaw when three letters picked without replacement from {a: 1, w: 1, o: 1, h: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y - 8. Suppose 8 = 4*c, 11 = y*f + 3*c + 1. What is the nearest to -0.2 in 2, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275053 (base 9) to base 5.\nAnswer: -20331333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18.847+-0.4\nAnswer: -19.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2 and 11\/2332101.\nAnswer: 4664202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-1) - -1) + 695664\/(-139248). Is i bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23\/2800244 + -266269423\/12636101050. Let j be (-2)\/(-10) - (30008\/(-14440))\/(-11). Let x = j + z. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578673300?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 1 + 1)*(o + 0*o + o) + 146*o**3 - 217*o**3 - 568*o**3.\nAnswer: -635*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 90 = 2*n, f = -3*n - 2*n. Let c = -22 + f. Solve 0 = -0*s - 3*s - c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4083*l - 18. Let v(k) = -1023*k - 5. Determine -4*d(f) + 15*v(f).\nAnswer: 987*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*(-8)\/(-80)*-8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 5*z**4\/12 + 6*z. Let a(y) = 3*y - y - 6*y + 5*y. Determine b(a(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 8*w**2 + 4*w + 9. Suppose -p + 4 = -3. Let j be o(p). Let z be 3\/j - (-253)\/4. What is the greatest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13369552 and 32?\nAnswer: 26739104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64464 plus 0.1?\nAnswer: 0.74464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1233, -2932, -7525, -16452, -31153, -53068, -83637, -124300?\n\"Answer: -240*c**3 - 7*c**2 + 2*c - 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cppxxxxxxcxxxx. What is prob of picking 1 p and 1 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1) + 0\/(-5). Suppose -58 = 2*n + r. Let k = 45 + n. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003749289 rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + q + 0 + 0 + q + (2*q - q + q)*(-2 + 0 + 3) + (0*q - q - q)*(-1 + 3 + 4) - 14*q - 5*q + 20 + 17*q to the form y + v*q and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 70*w**2 + w + 1. Let h be p(-2). Suppose 12*n + 12*n = 2021 + 4699. Is h greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffjs when four letters picked without replacement from fffjjfjjjssjsjjffjjs.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6*q - 5*q + 12*q + 8.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-180)\/330 - 47770\/(-85360). Is 1 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -95200 to the nearest one thousand.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/75*60\/(-8))\/((-42)\/(-1960)*14).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/12 and 76\/7*((-65)\/(-10))\/(-13)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (2 - -39) - (-7 + 4). What is the highest common divisor of 369 and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.5 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41911, -83947, -125983, -168019, -210055, -252091?\n\"Answer: -42036*x + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108239 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7256 divided by -8?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((3 - 4) + 24\/3). What is the remainder when (-121)\/(-4) - 2\/8 is divided by -11*(1 - (g - -4))*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2 + 8. Let u = 1 - b. Let w be 1 + -1 + 3\/7. What is the second biggest value in 0.1, u, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168529673 is divided by 2311?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0 - u**2 - 9 + 7 + 4*u. Let p be s(3). Let y be (3\/(-6))\/(p\/(-2)). Solve -z + 2*z - y = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 0.1, -95 in descending order.\nAnswer: 0.1, -19, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293144.3 millilitres to litres.\nAnswer: 293.1443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 97*f - 202. Determine b(-95).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + 4*6*(1 + sqrt(720)) + 0 + 4 + 2*sqrt(720) + sqrt(720))**2.\nAnswer: 18792*sqrt(5) + 525721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(0 - 7263805\/660). Let y = x - -192966\/11. Let d = y + 4445. Find the common denominator of d and 52\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 9*p + 15. Let k be u(5). Let m = -0.2 + 0.2. Let g = 31\/21 - 8\/7. Which is the nearest to g? (a) k (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -313236*y**6 - 26*y**3 - 210612524*y**2 wrt y.\nAnswer: -37588320*y**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185108 is divided by 786?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 7. Let d(b) = -b + 8. Let m = -3679 + 3677. Determine m*d(o) + 3*k(o).\nAnswer: -o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 317 (b) 4\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/31 (b) -112 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192775*g - 172528*g + 365307*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((-1 - -10) + -12)) + 4 + 7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/2 - 22272496*c**2 + 248032083579994*c - 992127977960072 = 0 for c.\nAnswer: 4, 22272494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3379*q - 364941. Give u(108).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16261 - 16268. Let p = -4.91 - 0.09. Which is the nearest to y? (a) -4 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 1302 + 11*c**2 + 556 + 746.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211 + 309. Is -1*(i\/(-2) + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*u + 21. Solve -u = 5*z + s + 2*s, 3*z = s - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 25\/2*y**3 - 1\/80*y**6 + 5 + 3*y**2 + 0*y + 3\/10*y**5 - 45\/16*y**4. Factor x(g).\nAnswer: -3*(g - 5)**2*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*d**2*q - d**2 + 256*d*q**2 + 39976*q**2 wrt d.\nAnswer: 38*d*q - 2*d + 256*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxb when three letters picked without replacement from {b: 4, x: 14}.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-20) - 0 - -2) + 352\/(-88).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 15*h**2 + 11*h + 9. Let c be k(14). Suppose r + 24 = 2*r. Calculate the common denominator of 47\/12 and (-40)\/14*c\/r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 10 + 9)*(5*t - t - 6*t + (-4 + 2 + 3)*(3 - 3 - t)) in the form d + f*t and give f.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9684601411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -28003?\nAnswer: 168018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 88497?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1808 + 1807.99997126. What is h rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqlqqwqlqqqqqq. What is prob of sequence qw?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 5:51 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {x: 7, e: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3299936\/17 + -195553. Let k = -1440 - x. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -519*d**3*o**2 - 67*d**3 + 78960*o**2 wrt d?\nAnswer: -1557*d**2*o**2 - 201*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 22*p - 2. Let k be -6*(-12)\/72 - -10. Give a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*d + 3)*(-2 + 1 + 3)*(2 + 0 - 7).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.3, 3\/29, -36, -10?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22310 - 11?\nAnswer: 22233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/15*2\/((-1)\/(-1)). Which is the fourth biggest value? (a) -3\/2 (b) -5\/2 (c) 2\/11 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*b = 9*c + 19, -5*c = -2*b + 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(66) + (2*sqrt(66) - sqrt(66)) - sqrt(66)) + sqrt(66)))\/(sqrt(60)\/(sqrt(40)\/sqrt(4)))*-4.\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = -30160 + 30220 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 7*h**4\/12 - 12*h. Let x(p) = -p. Give x(s(l)).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10865786 - -280130?\nAnswer: 11145916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + (sqrt(1440) + sqrt(1440) + sqrt(1440)*1)*-5 + (sqrt(1440) - 2*sqrt(1440)*6))\/((sqrt(288) - sqrt(288)*-2*2 - sqrt(288) - sqrt(288))*2).\nAnswer: -25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14913 - -14912. Is 51\/304 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 - 2*y**2 + 3*y**2 - 20 + 3*y**2 - y**3 in the form n*y**2 + v*y + d*y**3 + m and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 5:14 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -24. Suppose d = -6*g - 0*g + 366. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342577 is divided by 455?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:13 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 - 12*d**2 + 246 + 2022*d**3 - 246 + 2023*d**3 - 4051*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from -2016717.\nAnswer: -2016717.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -96191 (base 12) to base 13\nAnswer: -6ba19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, -0.4, -4\/7.\nAnswer: -18, -5, -4\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -31\/5*u**2 - 3\/5*u**4 - 34*u - 104\/5 + 32\/5*u**3 = 0?\nAnswer: -1, 4, 26\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 26 = -5*u, 5*u - 5*t = -0*t + 30. Sort 3, -2, u, -25, -4.\nAnswer: -25, -4, -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - -162. Suppose 0 = u*f - 220*f - 4291. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((6 - 3) + (2 - 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751808, 751644, 751494, 751364, 751260?\nAnswer: 751188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**2 + 2. Let n(x) = -6 - 7*x**2 + 6. Give r(n(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/7)*m*(m\/m**(-4\/3)*m)\/m)**1)**(-2\/67) assuming m is positive.\nAnswer: m**(-158\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/357 or 1?\nAnswer: -1\/357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:49 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 3\/(-1))*1. Let u(r) be the first derivative of -r**5\/60 - r**3 - 2. Let p(n) be the third derivative of u(n). What is p(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 3. Let a(m) = m + 1. Let c(i) = -17*a(i) - 6*l(i). List the prime factors of c(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10*(-8)\/(-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-270)\/(-18)*(-4)\/(-24 - -4). Let l(z) = -2*z**3 - z + 2. Let s(b) = -5*b**3 - 3*b + 5. Calculate v*s(y) - 7*l(y).\nAnswer: -y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 13. Let c(l) be the second derivative of -2*l**3 - l**2\/2 + l. Calculate the least common multiple of i(3) and c(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58867 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6109*z - 3 - 55999*z + 3.\nAnswer: -49890*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103307*d**2 + 101374*d**2 - 202990*d**2.\nAnswer: 1691*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150 + 142. Let t = s + -10.6. Round t to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 25 - (-227 - -281).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 491882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*d + 16, -4*d + 5*a + 192 = 249 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 8*m**2 + m + 10. Let c be n(-8). Let x be c\/(-1)*(-3)\/2. Suppose x*i = -3*z - z + 126, -2*z + 2*i = -70. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111578 is divided by 153?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12362 and 52?\nAnswer: 321412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 5*r - 11*r to v + l*r and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/31 > 586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -95*m**3\/6 + 3*m**2 + 83*m. What is the first derivative of g(f) wrt f?\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1664)\/65)\/(-16)*5\/(-2). Which is the third smallest value? (a) 2 (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -72*s - 305 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/3280 and 4\/8405.\nAnswer: 134480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/9)\/h))**(2\/17)\/(((h\/(h**0\/h))\/h)\/((h\/(h**(-4)*h)*h)\/h)))\/((h*h\/(h*h**0)*h*h**(-4\/7))\/(h**(-2\/3)*h\/h**(-1\/2))) assuming h is positive.\nAnswer: h**(5599\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1305*s + 431931. Determine o(331).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/3*1*(-207)\/1863.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {t: 4, r: 7, h: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o**2 - 48756*o + 13928 = 0. What is o?\nAnswer: 2\/7, 1741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -3\/7, -0.25, -5, 1\/5, -0.47?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f - 17*f - 14*f + 63*f - 19*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvvvllllllvvllvlll. What is prob of sequence ll?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 + 4 - k - 290970*k**2 + 290997*k**2 - 3 to the form m + u*k + g*k**3 + i*k**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81*t**3 + t - 475 wrt t?\nAnswer: -243*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -7*z**3\/3 - 10*z**2 - 12*z + 122. Suppose p(f) = 0. Calculate f.\nAnswer: -2, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13995 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/5 + 4218*q**3\/5 + 2973642*q**2\/5 + 706634638*q\/5 + 4133665212\/5 = 0. Calculate q.\nAnswer: -701, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*m**3*w + 358834*m**3*x - 2*m**2*w*x + 143*m**2*w + 77*w + 49 wrt m?\nAnswer: 72*w + 2153004*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44157, 44177, 44197, 44217, 44237?\nAnswer: 44257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (295 - 295 - 80*p)*(-2*p + 0*p - p) + 3 - p**2 - 3.\nAnswer: 239*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 9, x: 1}. Give prob of sequence rx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -458, -459, -460?\n\"Answer: -m - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 391 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 76\/11?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w - 3 + 3 + (1 - 3 + 3)*(-4*w + 0*w + 2*w) + (-97*w + 134*w + 133*w)*(3 - 3 - 1) to g + v*w and give v.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elhhguhlgg. Give prob of picking 1 h, 1 g, and 2 l.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -37 - 3 - (-61 - -138 - 85)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224 is divided by 153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(-b**2 + 0*b**2 + 4*b**2) + (0 + 0 + 2*b**2)*(0 + 6 - 4) - 3*b**2 + 0*b**2 + 4*b**2 as n*b**2 + z + f*b and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 29 - 25 - 2*y**2)*(4 - 4 - y**3) + (-1 - 2*y + 1)*(-2*y**4 + 6*y**4 - 2*y**4).\nAnswer: 3*y**5 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 87. Let v(g) = -g + 3. Let x be v(0). Solve -p*w = -x - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - 54a?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4, -877, -3068 in descending order.\nAnswer: 22, -4, -877, -3068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 5 + sqrt(612))**2 + (sqrt(85)\/sqrt(5) + 4)**2 + (-2*sqrt(119)*-1)\/(sqrt(7) - sqrt(49)\/sqrt(28)).\nAnswer: 132*sqrt(17) + 2506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -4)\/((-2)\/(-4)). Let a = r + 12. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 24. Calculate the remainder when 92 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 3)*(a - 2*a - a) - 6*a - 5 + 5 + 4*a - 15*a - 4*a)*(10 + 11*a**2 - 10).\nAnswer: -209*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -21. Calculate the remainder when (-4)\/(2*3\/(-12)) is divided by (0 + 1)\/(o\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012621 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -o + 3090, 16*o - 18*o - y + 6187 = 0. List the prime factors of o.\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 15 + (311165 - 123) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**9\/12096 - p**8\/3360 + p**7\/3360 + 13*p**3\/3 - 11*p**2. Let s(v) be the first derivative of t(v). Factor s(l).\nAnswer: l**3*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 1. Let q(y) = 12*y**3 - 2*y + 2. Calculate q(b) + 2*s(b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3150 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2 - 527*j - 528 = 0.\nAnswer: -1, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 785 + -766. What is the greatest common factor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.2 (b) -3 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9113 * 18\nAnswer: -164034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 412741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52.34 and 184.38.\nAnswer: 9650.4492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/s**(-3))**(-10) assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 - n + 2. Let q(r) = 3*r**2 + 3*r - 38. Give -5*d(k) - q(k).\nAnswer: 5*k**3 + 2*k**2 + 2*k + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, 1279, 3, 42.\nAnswer: -10, 2, 3, 42, 1279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, f: 3, a: 3, o: 3, w: 6}. Give prob of picking 1 f, 1 w, and 2 a.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-63) - 15\/(-28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 17*p - 4. What are the prime factors of (185*p)\/((-69)\/(-207))?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 3888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 2*p - 12, -5*p = -2*k - 9. Calculate the greatest common divisor of 6 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*y**2 - 154*y**5 - 49*y**2 + 438*y**5 wrt y?\nAnswer: 17040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 425*k. Let w(n) = 215335*n**2. Give w(o(r)).\nAnswer: 38894884375*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 5*j + 8. Let f be y(-6). Suppose 3*q = 4*g - 13, 2*g - 5*q = g - 1. Let o = g + 16. Solve -o = -2*h - f*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -20. Let y(d) = -5*d. Let s be y(q). Suppose s = 3*a - 43 - 17. What is the remainder when a is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375633 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 20690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/29717 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34410999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18923.3 rounded to the nearest 100?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26523 or 16868?\nAnswer: 16868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2369 + 2434. Solve -2*j - 4*c - 16 = 0, -61*j + t*j = -c - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 223 - (-2 + -3)\/(-5)*-1.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 - -87. Suppose 2*f = -f + 3*g + 3, 18 = z*f + 2*g. Let t(d) = -d**2 - 6*d + 2. Let j be t(-6). What is the smallest value in f, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + ((((sqrt(242) - ((1 + sqrt(242) - sqrt(242) - sqrt(242)) + 0) - sqrt(242)) + -2)**2 - (4*(1 + sqrt(242) + -4))**2) + -3)*2).\nAnswer: -5940*sqrt(2) + 22623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.2 + -32.4. Let o be (-541)\/36 + 8\/(-36). Let d = o - -15. Sort d, 11, x, -0.4 in descending order.\nAnswer: 11, x, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31576*m**3*w - 2*m**2*w - m**2 - 70*m - 103*w wrt m?\nAnswer: 189456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 22061341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-four fifths of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45284257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -94?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + 5125\/(-75) + 196\/3 + 3.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -246 + 774. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4094 is divided by 227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2293 + -2289. What is the smallest value in 0, 6, q, 2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**36*y*y\/((y\/(y\/y**(-1\/10)))\/y))\/((y*((y*y**(2\/43))\/y)\/y*y)\/(y\/(y**(27\/2)*y))) assuming y is positive.\nAnswer: y**(5494\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 58 = 22. Sort 3, d, 4 in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51562.6m to millimeters.\nAnswer: 51562600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*r - 0*r + 21, -r + 12 = -3*j. Let g = 4 - j. Suppose 63 = -4*w + 5*w. What is the highest common factor of w and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-1 + 3 + -26 + 22)) + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146032 is divided by 2957?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 34*t - 505. Calculate g(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 161 (b) 177 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2598 - -2515. Which is smaller: -89 or p?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.96 and 12.1.\nAnswer: 108.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z. Let d be s(1). Is 3 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 34. Suppose 20 = f + 4. Let a be w(f). Find the third derivative of -12*x**2 - 6*x**5 - 11*x**2 + 3*x**a wrt x.\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(6050) + sqrt(6050) + sqrt(6050) + (0 + sqrt(6050) + sqrt(6050) - sqrt(6050)))**2 + (-1 + -1 + sqrt(6050))**2 + -4)*-6*-1.\nAnswer: -9240*sqrt(2) + 617154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/12)\/(21\/(-1)))\/(-3)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**8\/84 + 5*u**4\/24 + 9*u**2\/2 - 8. Let q(y) be the second derivative of a(y). What is the second derivative of q(f) wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14952774 - 2330\nAnswer: -14955104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2769 divided by 13\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/2 - 5*q**4\/4 + 51*q**3\/4 - 20*q**2 + 7*q = 0.\nAnswer: -7, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1304*h**2 + 1 - 1303*h**2 - 1.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 55?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k - 2. Let a be y(3). Suppose 130 = 5*s + 120. Let l(c) = 6*c**s + 28 - a. Let w(m) = m. Give w(l(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 2 + 15\/(135\/36). What is the common denominator of (5 + 480\/(-35))\/(b + 7) and 20\/81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67704 divided by 16926?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 29*t - 31*t, -4*r = 5*t - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 50*y + 9. Let o(h) = 92*h + 18. What is -11*c(x) + 6*o(x)?\nAnswer: 2*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 4. Let t = 10 - 5. Suppose -2*m = t - 19. What is the smallest common multiple of g(1) and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439300?\nAnswer: 2, 5, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) + 156\/36. Suppose -p + 6*p + j*x = 75, 15 = p + 2*x. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 194 + 20. Is 33 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 2*f - 5*f + 8*f - 4*f. Let a(r) = -14*r**2 + 6*r - 6. Let h(m) = -m**2 - m + 1. Let b(p) = -a(p) - 6*h(p). Give b(d(i)).\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 994898, 1989719, 2984540, 3979361, 4974182?\n\"Answer: 994821*f + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16069, -63986, -143859, -255688, -399473, -575214?\n\"Answer: -15978*c**2 + 17*c - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 598910 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**3 - 21 - 14*m**3 - 4 + 83.\nAnswer: -44*m**3 + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.090458 years?\nAnswer: 0.03090458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*d**3 + 12*d**2 - 12*d**4 + 7*d**3 + 2*d + 13*d**4 - 11*d**2 to b + i*d**3 + p*d**4 + r*d + g*d**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171911220 - -6108780. Round h to the nearest 1000000.\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, 4, 3\/4, -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-2) - (5 - (-3 + 6)). Let b be 10\/(-3)*(-18)\/j. Solve -g + 5*g + b = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 2)*(-104*z - 141*z + 287*z) to f*z + m and give f.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2 + 2*q + 7. Let j(u) = -7*u**2 + 2*u + 8. Let c = -19 + 23. Suppose -c*o + 3*m = 16, o + 3*m = -3*o - 16. What is o*j(f) + 5*t(f)?\nAnswer: -2*f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*g - 10 = 0, 5*i + 2*g + 3 = 7. Calculate the lowest common multiple of 25 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1032 from 147171627258.\nAnswer: 147171628290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 8) to base 11.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 537395840.8.\nAnswer: 537395841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:07 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-22) - 14042\/(-154)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:24 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 2. Suppose -14 = -3*l + 3*i + 16, 0 = n*l - i - 18. Is 8 a factor of l*(0 - 3\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3401, 5106, 7939, 11894, 16965, 23146?\n\"Answer: -c**3 + 570*c**2 + 2*c + 2830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/(-11))\/10*3\/51?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 198007\/10 - (876\/(-120) - -7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 74*a - 10. Calculate the remainder when 85 is divided by k(38).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f*f**(2\/7))\/f)**33*f**(-2)\/(f\/(f**0\/f)) assuming f is positive.\nAnswer: f**(500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2368 + 528 = 3*z, 2*j + 3876 = 4*z. What is the greatest common divisor of z and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 7*o - 11. What is t(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 9 - 20)*(-2 + 2 + 3*a) + 75*a + a - 126*a.\nAnswer: -230*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73045 (base 11) to base 10.\nAnswer: 106529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 38*k**3 + 2*k**2 - 2*k + 1. What is the remainder when ((-616)\/16)\/(3 - 21\/6) is divided by f(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3146883, 3146877, 3146859, 3146823, 3146763, 3146673, 3146547, 3146379?\nAnswer: 3146163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 384.7 to zero dps.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -1240\/2061 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 21. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121130566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5304 (base 7) to base 4\nAnswer: -131022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -7. Let p be y\/(-18) + (-86)\/(-18). Let o(q) = 2*q**2 - 1. Is o(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 2, -0.18, 12.4, 0, 2\/25?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 0*a**3 - a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 9*q**2 + 1\/3*q**4 + 4\/15*q**3 - 7\/25*q**7 + 0 + 21\/40*q**8 + 0*q - 37\/150*q**5 - 281\/300*q**6. What is f in k(f) = 0?\nAnswer: -1\/3, -2\/7, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194821 at least -194822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004835 rounded to four decimal places?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40.2 + 17.9. Round y to zero dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**3 - 4 + 0*n - 2*n**2 - 11\/4*n**4. What is the second derivative of p(v) wrt v?\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 4 = 5*a. Let s be 2\/9 - 106\/(-9). Let v be (-3)\/a + (-7218)\/s. Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3\/5 + 6*a**2\/5 + 2*a\/5 - 6\/5 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4301 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.4, -2, 4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 1, w: 2, b: 1, f: 1}. What is prob of picking 1 f and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003569649053 rounded to six dps?\nAnswer: -0.000357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98813*h - 7*l + 75 = 98815*h - 8*l, -4*l = 4*h - 120 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/1009 + -23237\/30270. What is the common denominator of j and 482\/(-308) + (-6)\/(-14)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*t - 4*n = 304*t + 4, 15 = 5*n. Let l(j) be the first derivative of 0*j**2 + 0*j + 1\/3*j**6 + 6\/5*j**5 - 14 - 8\/3*j**3 + 0*j**t. Factor l(o).\nAnswer: 2*o**2*(o - 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85747 - -162837. What is p rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 3*z**2 + 2*z. Calculate the remainder when p(3) is divided by -4 + 10\/1 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from fmfmsssmmff?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508547419?\nAnswer: 73, 227, 30689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -42*o**2 + 16*o + 64. Let q(t) = -23*t**2 + 8*t + 33. Let z(b) = -6*m(b) + 11*q(b). Determine z(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 5*q, -5*d - 2*q + q = -5. Suppose -53 = -9*r + d. Solve 8 = s + r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 35) + 55 + (2 - 14 - 2) + -103.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tssssstsssss. Give prob of sequence tt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:11 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7660*k + 442 = -7661*k. Is k <= -445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 141. Suppose 0 = -4*k + d - 67. Let z be 3\/7 - k\/56. Is z at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22402 (base 7) in base 6?\nAnswer: -42154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10426 at most as big as 10426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 3*n**2 + 2*n - 3. Let j be z(2). Let m = -4 + 3. Which is the biggest value? (a) j (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.117 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = 0, -3*f + 115 + 529 = 2*a. Suppose 0 = 4*i, -f = g - 5*g + 3*i. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -681 - -1717. Let y = 130175 - 130147. What is the highest common divisor of y and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -z - 2*c, -29*z + 32*z - 5*c - 1 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4 + 10842*l**3 - 195804*l**2 + 1176120*l - 2353536 = 0. What is l?\nAnswer: -3632, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from poppoppyyppyooppmm.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**3 - a**2 + 33. Is x(7) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 22. Let b(i) = -1. Determine -6*b(x) + q(x).\nAnswer: 3*x - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + 1.977.\nAnswer: 1.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64443 + -5?\nAnswer: -64450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 57278, -1, -0.4, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*v - 4*b, 5*v - 24*b + 20*b + 24 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**6\/80 + 3*y**5\/80 + y**4\/4 - 9*y**3\/8 + 27*y**2\/16 - 4*y. Let j(r) = 0. What is r?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, t: 5, x: 2, c: 2, i: 1, z: 1}. What is prob of sequence fxic?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 17 = 3*f - r, -5*f - 2*r + 13 = 0. What is the units digit of (1 - 0)*17*f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/(-49))\/(11\/11))\/(3\/(-98))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9148407*g**3 + g + 285695152?\nAnswer: 27445221*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -22*a**3 + 3*a**2 + 8*a + 3. Let q be r(-1). What is the highest common factor of 220 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from rwororwwrwwwrrfwr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 8*s**2 - 4*s - 9. Let l(f) = 5*f**3 - 23*f**2 - 12*f - 26. Let g(z) = -3*l(z) + 8*q(z). Calculate g(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -1052, -2372, -4220, -6596, -9500, -12932?\nAnswer: -16892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 944 divide 15936608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g + 2*g)*(2*g + 4 - 4) - 1392*g**2 + 683*g**2 + 713*g**2 - 842.\nAnswer: 8*g**2 - 842","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -407 - -407. Which is the second smallest value? (a) 3\/8 (b) -1.1 (c) -3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - 7*y**2 + 3*y + 3. Let b(r) = -6*r**3 - 15*r**2 + 6*r + 7. Let t(u) = -6*b(u) + 13*f(u). Let g be t(1). Sort 0, 1, -5, g in ascending order.\nAnswer: -5, g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/5)\/((-3)\/(-30)). Let m(z) = 3*z**3 + 3*z. Let l(h) = 2*h**3 + 2*h. Let y(c) = q*m(c) - 4*l(c). Find the second derivative of y(j) wrt j.\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289 + -279. Let g(l) = -l**3 + 11*l**2 - 10*l - 10. What is g(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2892672 and 107\/50220.\nAnswer: 14463360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13053 + 246?\nAnswer: 13321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345745159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 301.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417863*b - 209003*b - 208860*b - 10*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/690*-69)\/(15*(-10)\/(-12)).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 7 = -2*k - 5, 0 = -k + 3*f - 20 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17814563*v**4 + 13133198 wrt v?\nAnswer: -71258252*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22383 divided by 4.\nAnswer: 22383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2384, 2\/5, -1.07?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) + (-132)\/55. Let m(k) = 2*k + 4. Let z(f) = f + 1. Determine r*m(t) + 6*z(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119.54 - 120. Let p = -0.3853 - w. What is p rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3520 = -4*k, 0 = -2*k + 7*k + q - 4400. Calculate the smallest common multiple of 320 and k.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 209, 1588, 5321, 12584, 24553?\n\"Answer: 196*q**3 + q**2 + 4*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/11 (b) 4 (c) 11680\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1325.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 2*a - 20. Let u(t) = t**2 + 76*t + 764. Let l be u(-12). Give f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 2. Let c be t(0). What is the remainder when 11 is divided by ((-24)\/18)\/(c\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.33 + 471.67. Let o = -482.006 + s. Is o at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14834*b**2*k**3 + 7307*b**2*k - b**2*m - 21*k**3*m - 2*k**3 + 91*k wrt k.\nAnswer: 89004*b**2*k - 126*k*m - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6144, 12447, 18752, 25059, 31368?\nAnswer: 37679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110110001101010 (base 2) to base 16.\nAnswer: 16c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 876 - 270. What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t - 2*t, -t - 201 = -3*z. Calculate the greatest common factor of z and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/189)\/(-1*(-4)\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11 = -3*g - 0*b, -4*b + 17 = -3*g. Let l be 2\/3 + (-16)\/g. Suppose -14*x + 12 = -10*x + 4*r, 2*r = -3*x + 8. Solve x*s - 8 = l*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -812, -1611, -2422, -3251, -4104, -4987, -5906, -6867?\nAnswer: -7876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*n + 12*n - 4*v + 5, -n + 2*v = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 + 5612020?\nAnswer: 5612145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(5 - -5). Suppose -2*o + 31 = -5*m - 13, -3*m + 3*o - 30 = 0. Does p = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -224*w**2 - 3234*w - 2. Let p(h) = -h**2. Calculate o(p(z)).\nAnswer: -224*z**4 + 3234*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x + 49*x + 308 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l - 67*l + 34*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j - 49 = -3*m, -m = -4*j + 29. Let n be 34\/j + (-3)\/12. Suppose n*z - 9 = -3*c + 18, -3*c - 3*z + 24 = 0. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-8))\/(1\/(-2852))?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a + a**2 - 4*a + (9 - 9 - 3*a)*(3*a - 4*a - a) + 4*a**2 + a**2 - 4*a**2 + (2 + 1 - 2)*(5*a**2 - a**2 - 3*a**2).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440617?\nAnswer: 3, 97, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77, 84, 95, 110?\n\"Answer: 2*n**2 + n + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(3 + sqrt(11) + 0 - (0 + 1 + sqrt(11))**2)*-6.\nAnswer: 36*sqrt(11) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 - 10862*b**2 + 371042*b - 3158770 = 0. What is b?\nAnswer: -5465, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -59125 plus -160.429?\nAnswer: -59285.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/((-8)\/(-24))*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 185898 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 24334 = -v - 2690, 3*p - 2*v - 32445 = 0. What are the prime factors of p?\nAnswer: 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q*z**3 + 25*q*z**2 - q*z - 432*q - z**4 wrt z?\nAnswer: 24*q*z + 50*q - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17873*r + 17883*r + 16*r**3 - 71516*r + 17879*r + 17881*r - 7*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 26. Let n be 31\/c + (-22)\/(-121). Solve 0 = n*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 4*y + 15. Let a = y - -34. Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 284699 from 35528040.\nAnswer: 35243341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 553*z + 162 - 308 + 146. Let i(w) = -w**2. Calculate i(v(x)).\nAnswer: -305809*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + -1 + 2 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 45*v + 0)*((-1 + 2 - 2)*(4 + 2 - 5) + 3 - 1 + 1) - 843 + 843 - 29*v.\nAnswer: -119*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + x)*(5*x - 6*x + 4*x) + (-459*x - 444*x + 883*x)*(2*x + 2*x - 3*x).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.54 and -3?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhm when three letters picked without replacement from huggum.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -315 - -24?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3989184 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -65\/8 (c) 2\/75 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-2)\/(-18)*39.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42.69 - 44.6. Let u = 1.8 + b. Let v = 5.11 + u. Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -7, 15.\nAnswer: -7, -2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.25 + 2. Let t = -116 + 164. Let v = t + -53. Which is the third smallest value? (a) v (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791 a factor of 954085730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/47))**(6\/19)\/(((q\/q**(-3))\/q)\/((q*q**(1\/8)*q*q)\/q*q)))**37 assuming q is positive.\nAnswer: q**(36593\/7144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Is 11 a factor of (76\/2 - h) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 12253*k + 61240.\nAnswer: (k + 5)*(k + 12248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 2, n: 2, l: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1\/383 (c) 300 (d) 4 (e) -4 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 3, -2, 5, -182, 915 in descending order.\nAnswer: 915, 5, 3, -2, -91, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103404137?\nAnswer: 19, 211, 25793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x + 4. Let t(a) = a - 1. Calculate h(l) + 5*t(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaaagakax. Give prob of sequence kxg.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.1 (c) -3\/8 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:44 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -171 - 2 - (-4 + 1). Let g = x + 100. Find the common denominator of -10\/9 and (-4)\/((-64)\/g) - (-1)\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + sqrt(242) + (sqrt(242) - (sqrt(242) + 1 + sqrt(242) + sqrt(242))) + -2 + 1)*3 - (-4 + sqrt(242) + 0 - (sqrt(242) + -2 + 5)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-34)\/4)\/((-4)\/(-8)). Let l(y) = y**3 + 18*y**2 + 18*y + 19. Let k be l(v). Solve -12 = -2*f - k*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**3 - 56*h**2 + 3*h + 3. Let b(m) = m**3 - m**2 + m + 1. What is 3*b(t) - u(t)?\nAnswer: -t**3 + 53*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + -2*sqrt(1500) + sqrt(60))\/((sqrt(180)\/sqrt(3))\/sqrt(5)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v - 1 - 2*v + (-29 + 23 - 16)*(-2*v + 4*v - 3*v))*((11 - 8 - 6)*(-2 + 2 + 2) + 2 - 1 + 4).\nAnswer: -21*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13965*t**3 - 2*t**2 - 28*t - 16. Let p be n(-8). What is p rounded to the nearest one hundred thousand?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 640889 and 285779.\nAnswer: 108310241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 141207000 to the nearest 1000000.\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(2 - 4 - 1) - 20 - 6 - 7)*(f - 6*f - 2 + 3) + 0*f - 6*f + 4*f.\nAnswer: 133*f - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 418 = 2*k, -5*l + 233 + 297 = 5*k. Suppose -z - l = 5*u + 2*z, -z = 0. What is the common denominator of 510\/(-4)*(91\/u + 4) and 43\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + -1 - (-858)\/72 and 38\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1727, 6895, 15509, 27569, 43075, 62027, 84425?\nAnswer: 110269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 16760*h + 16763*h + 29, -13 = 5*q - h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -272*a. Let p(x) = -48*x + 3. Let z(y) = -79*y + 5. Let t(i) = 10*p(i) - 6*z(i). Give q(t(j)).\nAnswer: 1632*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.29 + -0.01. Let c = 6 + b. What is the biggest value in -3, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + g + 1 - 3*g + 0*g.\nAnswer: -2*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137259551 and 9373.\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 499.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 7*p - 13. Let l be j(2). Suppose -5*m = 17*v - 20*v + 32, 4*v + l*m = -4. Solve -v = 8*u - 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117535 + 210792. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 645*z**2\/4 + 13533*z\/2 - 252.\nAnswer: 3*(z + 42)*(215*z - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**6\/120 - v**5\/20 - v**4\/24 + v**3\/2 + v**2 + 1. Let j(g) be the second derivative of i(g). Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 2459611360*k + 302484402112052480.\nAnswer: 5*(k + 245961136)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + m**3 + 3*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 123 + 202 + 0*o**2 - 6*o**2 + 222.\nAnswer: -6*o**2 + 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*v - 649242 + 649770 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1136471347 + -0.03.\nAnswer: 1136471346.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3 + (-60)\/(-72))*(-98)\/(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30451 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 142*k**3 - 9*k**2 + 5*k - 30. Let g(h) = 143*h**3 - 11*h**2 + 6*h - 31. Let o(w) = 5*g(w) - 6*u(w). What is the third derivative of o(p) wrt p?\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 24*w + 6 + 3*w + 4*w + 11*w.\nAnswer: -2*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, 1 m, and 1 s when four letters picked without replacement from miimrsscsmm.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 + 93 - (9 + 2 + -32).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13*k**2 + 10*k + 2. Let q be i(-1). Solve t - 2*x - 11 = 0, -5*t - 9*x = -q*x + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235571 divided by -7.\nAnswer: -33653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 68.92659 millennia?\nAnswer: 68926.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 638 = -p - p, -4*p - 5*d - 1285 = 0. Let u = p + 1951\/6. Find i such that 0*i**2 + 1\/6*i**4 + 0 + u*i**3 + 0*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*u - 73. Suppose 5*g = -m + u, -4*m + 3 + 1 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -40. Suppose -36 = -j*p + 11*p. Let n be 2\/(-2)*(-3 + p). Solve 17 - n = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 11 + j**2 - 10*j + 0 + 4. Let n be a(8). Is 3 + n - (-4 - 72 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/20*80\/32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 0.5, 0.11, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(9 + (-6 - -6)). Suppose 12866 = m*k + 1823. Is k a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*u - 7566086*c**3 - 2139*c**2*u - 1902*c*u wrt c?\nAnswer: -6*u - 45396516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m**2 + 30*m - 15*m + 392 - 11*m**2 - 18*m - 122 with respect to m.\nAnswer: -38*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**2 + z - 476. Let r(k) = 2*k**2 - k + 1. Let n(v) = -4*r(v) - x(v). List the prime factors of n(0).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/8 - 188129*f\/8 - 23516.\nAnswer: -(f + 1)*(f + 188128)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -3.7, 1\/7, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 i when four letters picked without replacement from aiddddddad?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - -828. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227.8 + 227.811586. Round x to four dps.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e34dc (base 15) in base 12?\nAnswer: 2a87a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 41 = 2*w, -4*w + k - 12 + 17 = 0. Suppose -4*j + 2*x = -2*x + 4, 2*x = -3*j + 22. Solve 5*a = w*b + b - 13, -j*b = 5*a + 37 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*g - 164*i + 159*i, 5*g - 4*i = 16. Which is the second biggest value? (a) 7 (b) g (c) 1\/4 (d) 3 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69166.\nAnswer: 2, 34583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2251 (base 8) to base 11\nAnswer: -995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202583400 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + sqrt(425))*-2*6*-4)**2.\nAnswer: 23040*sqrt(17) + 981504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 26*j**4 - 59*j**3 - j + 482. Let i(q) = -32*q**4 + 59*q**3 + q - 480. Let n(k) = 5*g(k) + 4*i(k). What is the second derivative of n(h) wrt h?\nAnswer: 24*h**2 - 354*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 5*s - s**3)*(5*s - 2*s - 2*s - 1 + s + 1 + (2 - 2 + 2*s)*(4 - 2 + 0)).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 9:20 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 165 + 46 + 14*i**3 + 49 + 25.\nAnswer: 14*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j - j)*(1 + j**2 - 1) + 508 - 508 - j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 + p**3 + 0*p**3 - 2*p - 3*p wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -13. Let x = -1.9 - z. What is the closest to x in 5, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, t: 6, i: 1, r: 2, k: 5}. Give prob of picking 1 r, 1 i, 1 d, and 1 k.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 1.29. Let n = w + -1. Let k = -286 - -284. Is k equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5 + (-212)\/40)\/(-8) - 0 and 49\/688.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 1. Let h(k) = -137*k - 4. Let l(m) = h(m) + 5*r(m). What is the units digit of l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**2*z - 44*x**2 + x*z - 127*x - 800834*z wrt x?\nAnswer: 2*x*z - 88*x + z - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -73*u**3 + 2*u**2 - 2. Let b(g) = 1970*g**3 - 55*g**2 + 55. What is 2*b(y) + 55*o(y)?\nAnswer: -75*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26922190 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -235*d**2 - 1722*d + 1407. Give k(-8).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9083 - -54ac?\nAnswer: -3ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -17*w - 33. Let l be x(-6). Suppose 3*f - 474 = -l. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4553, -10484, -16415?\nAnswer: -22346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6348 and 3174?\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 296572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093166 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**3 + 1779*i**2 + 419*i + 11613. What is u(445)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042087 to six decimal places.\nAnswer: -0.000421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -1338?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-20) + 7\/5. What is the highest common divisor of i and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32 - (-1)\/2*2. Suppose -3*r = -4*t + 44, a = 3*t - 5*r + 11. Let y = -9 - -15. Calculate the lowest common multiple of t and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*2 + -1 + ((-2*sqrt(396))**2 - ((sqrt(33)\/sqrt(3))**2 + -3)).\nAnswer: 4*sqrt(11) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1466\/21 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-8))\/(-2 - 42\/(-12)). Let f = -5962 + 5965. Which is the nearest to -2? (a) h (b) f (c) 4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/276)\/((-11)\/(-72)). Let z = 16678\/2277 - a. Calculate the common denominator of z and 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13566012 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 881 divided by 1330.\nAnswer: 881\/1330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0)*4\/(-8)*(-36)\/243?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 353 and -0.05?\nAnswer: -17.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -76+-450\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and -3.655?\nAnswer: -113.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1514, 3, -4 in descending order.\nAnswer: 1514, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 123. Let i = -4 + 12. Solve v = -4*c + 3*l - i, 3 = 3*c + 3*l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23311? (a) -0.1 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -56*c + 1073. Let m be h(19). Calculate the highest common factor of m and 2466.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2.18925916\nAnswer: 2.81074084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/10 + 80\/50. Let b be 7*(-96)\/(-56)*i\/4. Suppose 138 = 5*l + 3*r, l + b*r - 6*r = 24. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**2\/2 + 8*c - 1. Let g(y) = -5*y**2 + y - 1. Let u be g(1). What is the units digit of k(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -2964\nAnswer: 592.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3*-1)\/((-8)\/128)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -611136 - -10?\nAnswer: -611126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16059170213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11 + 13 - 38*h**3 - 35 + 14 - 5 - 154*h**2 wrt h?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2\/17 (b) 3 (c) 15 (d) 7992\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c + 10 = 2*j, 5*c = -4*j - 43. Suppose 15*k + 0*k + 315 = 0. What are the prime factors of c\/(k\/12) - -36?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 860 - 487. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/770)\/((-16)\/(-28))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 382 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(300) + -4 + 0 + sqrt(300) + sqrt(300) + 3)*2 + -2)**2 + 5.\nAnswer: -32443 + 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15048969701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4733929631 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1116*n**2 + 110*n**2 - 178 + 178.\nAnswer: -1006*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949470256?\nAnswer: 2, 73, 157, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31718633 to the power of 1\/2, to the nearest integer?\nAnswer: 5632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 149? (a) -4\/3 (b) 5 (c) -1\/119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1200 and 3609460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 466577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 3923. Let w(c) = -2*c. Give w(r(n)).\nAnswer: 4*n + 7846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 1 + 1. Let g be k*-3*(4 + -1). Let l = 57 - -42. Calculate the highest common factor of g and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = j + 11, v + 2*v + 30 = 5*j. What is the remainder when 52 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4 = -4*h - 10, -5*s - h = 32 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 20*j**2 - 86*j + 33. Let y be s(14). Let p(g) = g**3 - 5*g**2 - g + 7. Let w be p(5). Solve z - 9 = -2*v, z + y - w = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.04, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 + 296. Which is the third smallest value? (a) 0.5 (b) -0.04 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -167942 + 87681 + 85925 - 6187*h wrt h?\nAnswer: -6187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.5 - 77.5. Let a = 117 + g. Is a greater than -0.93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 1163 + 157. What are the prime factors of d?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2716 divided by -16.\nAnswer: 679\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0603 times -2085\nAnswer: -125.7255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 162579.2637 and -0.02.\nAnswer: 162579.2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.16 times -0.1?\nAnswer: -0.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2214223.\nAnswer: 11, 101, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 2*w - 6*w - 17*w + 17*w + 14*w + (w + 2*w - 2*w)*(-5 + 2 + 4) + w + 2*w - 4*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1207*h + 1204*h + 2589. What are the prime factors of h?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 462, 1205, 1962, 2739, 3542, 4377, 5250?\n\"Answer: l**3 + l**2 + 733*l - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23892935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7.17. Let t = j - 53.57. Round t to 0 dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4977 - 1986. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*n + 16340 = 0, 3*c - 3*n - 13189 - 11258 = 0. Calculate the greatest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l**2 + 21*l + 12. Let w be j(3). Calculate the highest common divisor of 273 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 10577 + 3*b**2 - 4*b**2.\nAnswer: -4*b**2 + 10577","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 21266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 5*k - 40. Let i be g(-6). Let u = i + 212. Let n = u - 63. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -790, -782, -774, -766, -758?\n\"Answer: 8*n - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(6\/4*1). Let u(h) = -31*h**k - 11*h**2 + 3*h**2 - 5*h**2. Let l(m) = -2*m. Give u(l(i)).\nAnswer: -176*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -353526 - 20?\nAnswer: -353546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5573149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 7*l**2 - 1\/2*l**3 + 0*l + 0 + 1\/6*l**4. What is the lowest common multiple of i(2) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13602 and 11885881?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3410473*-0.21.\nAnswer: 0.071619933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190368 by 2644.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 183277.\nAnswer: -2\/183277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -375\/32? (a) -8 (b) -4 (c) 6\/7 (d) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o, -x - 14*o = -10*o - 8679. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0*o**4 - 3*o + 0 + 0*o**2 - 1\/10*o**5 - 2\/3*o**3. Find the second derivative of a(f) wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -0.01. Let a = 2.92 + w. Suppose -9 = -r - 12. What is the second biggest value in a, 2\/9, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((102\/(-3))\/(-17))\/((-2)\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v*v\/v**(2\/15)*v)\/v)\/v)\/(v*(v**(-1\/18)*v)\/v)*(v\/(v**3*v))**(-1\/13))**(-43))**18 assuming v is positive.\nAnswer: v**(-7697\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 362, 358, 354, 350?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = 0, 3*m - 129 = -2*w + 4*m. Suppose -3*o + 0*o = -123. Let i = o + -25. What is the remainder when w is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19478, -19473, -19466, -19457?\n\"Answer: d**2 + 2*d - 19481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -72. Let f = 5.3 - -1.7. Let s = f + u. Is 0.1 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 + 3*h - 3. Let j(v) = -v. Let u be j(-11). Suppose d - 3*p = -6*p + u, -10 = -2*d - 2*p. What is r(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286 by 2.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.067 - 0.067. What is the biggest value in -58, a, 1\/4, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f5cac (base 16) to base 8.\nAnswer: -7656254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -275*d*h*v - 28*d*h + 39*d*v + 2*h**2*v - 13625*h**2 - 3*h*v wrt v?\nAnswer: -275*d*h + 39*d + 2*h**2 - 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488733 divided by 665.\nAnswer: -69819\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 240487\/44 less than 5466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 4, 10.5, -0.2, 40.47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-27)\/6))\/((-1)\/1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-3648)\/(-95))\/32)\/((-8)\/5))\/(225\/40).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68 + -3 + 4 + 0. Let b = 13 + g. Let s = -22 + b. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 506 and 276.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/18955 and -10\/4750123?\nAnswer: 23750615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 25*n**2 - 4*n + 3. Give d(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 times -2?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/9)\/((-2130)\/5112)*-7.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 564*s - 476. Let y(k) = 5*k - 2. Let j(q) = f(q) + 6*y(q). What is the derivative of j(d) wrt d?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*550\/110?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a. Let r be h(3). Let l = 5 - 2. What is the first derivative of -r*u**3 + 5*u**3 - 5 + 4*u**l wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158861, -317759, -476661, -635567, -794477, -953391, -1112309?\nAnswer: -1271231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 - -4.10733\nAnswer: 4.54733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.5065189 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u + 2 = 0. Let s be (2\/2)\/(2\/(-6)). Is u greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00074 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21 - -6)\/(-5) - -1. What is the units digit of (r\/(-2))\/(-1) - (0 + -24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/10 - 21*k**3\/5 - 704*k**2\/5.\nAnswer: k**2*(k - 64)*(k + 22)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzqxxqxhqxxxqqqx. Give prob of sequence zh.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by ((231\/14)\/(-11))\/((-668)\/328 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, 88, 281, 552, 901, 1328?\n\"Answer: 39*w**2 - 2*w - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-3*sqrt(8)\/sqrt(4) + sqrt(2)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 3604\nAnswer: 68476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0675 rounded to 2 decimal places?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1143 + -406. Suppose -2*o + t = 139. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864*w**3 - 89*w**3 + 1054*w**3 - 107*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -99. Let i = -47 + c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - 7*n**2 - 5*n - 1. Let u(t) = 8*t**3 - 13*t**2 - 11*t - 2. Let o(w) = 5*g(w) - 2*u(w). Give o(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5237498km?\nAnswer: 523749.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3507, 3, -3\/8, -1\/2, -0.4 in descending order.\nAnswer: 3507, 3, -3\/8, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/(-26)*((-16)\/72)\/(11\/((-165)\/(-70)))?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -37*l + 3. Let s(n) = 221*n - 17. Give 17*b(o) + 3*s(o).\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f + f - 4*f + 2*f. Let n be u(-13). Let q(s) = n - 3*s + 0*s - 5 + 4*s. Determine q(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9*b - 19 = 7*b, -g = 5*b - 28. Sort -5, -115, g in ascending order.\nAnswer: -115, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**3\/3 - 11*g**2\/2 + 13*g - 4. Let d be x(10). Suppose d*z - 18 = z. Calculate the greatest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174123 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -3 in descending order.\nAnswer: -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 101. Factor -16\/7*o - 8\/7 - 2\/7*o**3 - 10\/7*o**q.\nAnswer: -2*(o + 1)*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 4:14 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*l - 11. Suppose 3*d = -l*d + 1250. Suppose -5*m + 7*m - d = 0. What is the greatest common divisor of m and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(12\/17)*p*p*p*p**23 assuming p is positive.\nAnswer: p**(454\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 1095421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*g + 668 = 0, 4*f - 671 = 2*f + 3*g. Let z = f - 235. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2464?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7395*j**5 + 2181*j**2 wrt j?\nAnswer: 443700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**2 + 9*x + 7. What is the remainder when ((-9)\/(-2))\/((-6)\/(-32)) is divided by c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**(5\/4)*k)\/k)\/(k*k**3))\/((k**(1\/4)*k)\/k*k*k*k**(-1\/6))*((k**(-3)*k)**(-3\/11))**(-6) assuming k is positive.\nAnswer: k**(-284\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 6*y - 3*y)*(2*y**4 + 2*y**4 - 5*y**4) + 6783587*y**4 + 9467*y**5 - 6783587*y**4 - y**2 + y**5 + y**2.\nAnswer: 9467*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22933 is divided by 6487.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 15*i. Let p(s) = -6*s. Let l(u) = -7*u + 37. Let t(a) = 2*a**2 - 4*a - 42. Let y be t(6). Let m be l(y). Calculate m*v(b) - 12*p(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -879 = -7*o - 2790. Let i = 496 + o. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, y: 2}. Give prob of picking 2 s and 2 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-17 - (-9 - -16)) - (3 + -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81 and 259.\nAnswer: 20979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -12*w**2 - 6*w + 16. Suppose -6 = b + 5. Let p be m(b). What is p rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 28697782.3 to the nearest one hundred thousand.\nAnswer: 28700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + 2.42. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010455931 rounded to seven dps?\nAnswer: 0.0001046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35612895 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 36*q - 9. Let v = -12031 - -12022. What is u(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:17 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 1. Let x be w(2). Suppose 0*h - 2*t = -x*h + 70, -4*h = 3*t - 33. What is the remainder when h is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - 2*c**2 + 2*c**2)*(-c + c + c) + c**4 + 2*c**4 + 0*c**4 + c - c - 4*c**4 + 3980*c**3 - 19*c - 3980*c**3 + c**4.\nAnswer: -2*c**4 - 19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/4 + 255*q**2\/4 + 1794*q + 16731 = 0. Calculate q.\nAnswer: -33, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87552)\/1824 - (-2 - 50).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 0.9. What is the nearest to k in 5, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -54, -41, -12, 39, 118, 231?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 4*v**2 - 2*v + 2. Let b be p(4). Is ((-6)\/(-4))\/(b\/(-152)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (14*11\/(-22))\/(77\/(-143))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-4 - (-17 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.1, 1\/4, 0.2, -4, -32\/41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1766, -61, 4 in decreasing order.\nAnswer: 1766, 5, 4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/4*44\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 662483 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, w: 4, i: 6}. What is prob of sequence iwii?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/6, 8, 8667\/2, -3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -460 at most -350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jee when three letters picked without replacement from jeje.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 247441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.159 - -196.159. Let u = b - 196.0189. What is u rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (43 + -34)) + 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 379*n + 1834. Let d be p(-131). Let 0*w**2 + 2\/3*w + d - 2\/3*w**3 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y + 15*y - 54*y + 31*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2*10\/(-4). Does 19 divide 114\/y - (-7)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 + 13*h**3\/6 - 10*h**2 - 25*h. Let v be t(11). Solve 2*g + 2*z = -v*z + 8, -5*z - 20 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3884*i**3 + 1545*i?\nAnswer: 23304*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {w: 2, v: 1, i: 1, t: 2, z: 1, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 47 = l, -62 = -4*p - l - 0*l. Suppose 9*u = 4*u. Suppose 19*i - 14*i = u. Solve 3*v = -i*v + p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 7*d - 2. Let w(o) = -12*o**2 + 29*o - 9. Determine -9*r(a) + 2*w(a).\nAnswer: 3*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62452 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {q: 7, o: 1, i: 1, j: 3, a: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*b + 17 = 0, -t + 13 = -5*b + 2*b. Sort -1, t, -5, 2 in increasing order.\nAnswer: -5, t, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6705 divided by -447.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18261?\nAnswer: 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + c - 15*c**2 + c. Let j(l) = l. Calculate j(k(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1609 - 908. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20840813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -39, -59, -91, -141, -215?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+0.0232\nAnswer: -0.4768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - u + 0*u**2 + 5*u**2. Let f be w(-1). Factor j + 2*j**4 + 0*j**f - j**3 - j**2 - j**4.\nAnswer: j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 3. Let o be y(3). Let t(z) = 2*z**2 + z - z + o*z. Let u(d) = -1. Let k(s) = 3*s**2 + 3. Let v(w) = -k(w) - 3*u(w). Determine t(v(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {y: 3, j: 13}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 3*z. Let l(u) = -u**2 - u + z*u**2 - 5 - 2*u**2. Let v(i) be the third derivative of i**3\/6 + 2*i**2. Calculate l(g) + 3*v(g).\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1390 * -137.04.\nAnswer: 190485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 524.\nAnswer: 16\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzancgg. Give prob of sequence gac.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6794 and 16432?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 4*z**2 - 4. Let y be b(4). Let p = y - -7. Calculate the remainder when 3984\/249 - (1 + 8) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110010110111000111 (base 2) in base 11?\nAnswer: 14a4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 84*o**5 - 1 - 87*o**5 - 1 + (1 + 1 - 4)*(-2*o**5 + 2*o**5 - 2*o**5).\nAnswer: o**5 + o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2915 and 4015.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/12)\/((-6)\/288*-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050*s - 1060*s - 1034*s - 1048*s + 4187*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 712\/9955?\nAnswer: 712\/9955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j - 10. Let z = 175 - 179. Give w(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2414*i**2*j**2*k**3*q + 2*i**2*j*k**3*q + i*j*k**3 - 6*i*k**3 - i*k**2 + 105*j**2*k**3 - j**2*k*q - j*k**2*q wrt i?\nAnswer: 4828*j**2*k**3*q + 4*j*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, 15, 5, -0.2357, 0.2?\nAnswer: -0.2357","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*v = 53, -r - 5*v + 15 = -46. What is the remainder when r is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - -50) + (7 - (-3 + 5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 583 or 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2. Let z(b) = -287*b**2 - 60*b + 46. Let i(k) = 172*k**2 + 35*k - 27. Let p(q) = 12*i(q) + 7*z(q). Calculate p(c(o)).\nAnswer: 495*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 34*b**2 - 34*b + 82. Does 14 divide i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*h + 4*q, -4*q + 4 = 7*h - 8*h. Sort h, -1.3, -3\/2.\nAnswer: h, -3\/2, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**6\/15 + 1306*g**5\/5 - 852818*g**4\/3 + 4100*g. Find f, given that t(f) = 0.\nAnswer: 0, 1306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 135951100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 r when three letters picked without replacement from {n: 4, l: 2, a: 2, r: 2, y: 2, t: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 992289 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Let u = 5 - c. Let v be 3 + -1 + 2\/u. Solve -3*b + 2*f + 9 = v*f, -2*b + 4*f = 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3)**44)**19\/((h**0)**(-49)\/(h**(-1))**(1\/24)) assuming h is positive.\nAnswer: h**(60191\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2*(-25)\/5600*4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**42))\/((v*v*v**21\/v)\/v))\/(v*v**(1\/6)*v*v*v**(-2\/13)) assuming v is positive.\nAnswer: v**(-5149\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -266, 0.5, 2 in ascending order.\nAnswer: -266, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.9 - -23. What is the closest to k in -2, 1\/8, -0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 15*o - 1. What are the prime factors of y(-11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.621116 litres?\nAnswer: 4621.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 70, -5.\nAnswer: -5, 16, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 140, 144, 148, 152?\n\"Answer: 4*n + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/720 - j**5\/30 + j**4\/8 - j**2. Let b(v) be the second derivative of x(v). Give b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 24226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 164\/12 - (-72)\/54. Let w(g) = -8*g + 1. What is the remainder when 28*1 + l\/15 is divided by w(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let y = 20\/19 - 139\/114. Let g = 0.7 + -1. Which is the nearest to j? (a) y (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257035 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*g - 6. Let l(c) = -4 + c**3 + 1 + c - 8*c**g - 7 + 21*c**2. Is l(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 times 15691\nAnswer: 1694628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 53. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 5, x: 1}. What is prob of picking 3 q?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + (21 - 15 - (2 + 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/25, 7\/9, 2.1, 2?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:16 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12*3)\/(27\/5184*36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, k: 2}. Give prob of sequence kkc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 - 7*a**2 + 4*a - 13. Let s be m(-6). Let k = s + -220. List the prime factors of k.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110110210 (base 3) to base 8\nAnswer: 70150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13957.\nAnswer: 17, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -262*z**2 + 18322*z - 18322. What is a(1)?\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112 - 21010102121010?\nAnswer: -21010102111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1212)\/(-101) + -92 + 127.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(3520\/275)\/32*38?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 78 + 72. Suppose -2*f + 12 = -c*s, 0*f = -f + 2*s + 5. Is f less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1966 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 20*i + 93. Let h be j(-6). Let o(c) = -c - 8 - 10*c + 11. Give o(h).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 51, 1, -3.\nAnswer: -3, 1, 6, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17523072 a multiple of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 12 + 0 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2))**27\/((d\/(d\/d**6*d*d*d))\/(d**(1\/3)\/d*d*d)))\/(((d*d\/(d*(d*d**(1\/3)*d)\/d))\/d*d)\/d**4)**48 assuming d is positive.\nAnswer: d**(1319\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50b7a (base 13) to base 2\nAnswer: -100011010101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622239480.\nAnswer: 2, 3, 5, 97, 103, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 25*c**2 + 339*c - 531. Determine v(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 672?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 36 - 9*y**2 + 3 + y**2.\nAnswer: -8*y**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9839, 9842, 9847, 9854?\nAnswer: 9863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 10*w - 8. Suppose 4*v = -5*j + 34, v = j + 19 - 6. What is c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112462509 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368211901.\nAnswer: 7, 17, 1723, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -565583*s**2*z**2 + 20*s*z**3 + 67*z**3 + 5*z + 106 wrt s.\nAnswer: -1131166*s*z**2 + 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 2*j. Suppose 0 = -9*f + 16*f - 14. Suppose -4*l + 4 = -5*u - 1, 2*u - 16 = -2*l. Solve j = f*q - q + l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 17*z**2 + 17*z + 18. Let h be n(18). Suppose h = -12*d + 45 + 15. Solve y - 3 = -j, -2*y = y + d*j - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5 (c) -0.03 (d) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4210663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1163 + -3. Suppose 12*t - 7*t = -3*o + 1737, 2*o = -4*t + p. List the prime factors of o.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, x: 3, i: 4, s: 1, k: 2}. What is prob of picking 1 g and 3 i?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:26 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjjjyjjyyj. What is prob of picking 3 y?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.75. Let r = -0.05 + o. Which is the closest to 1? (a) -5 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007402985 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 54*r - 242. Let m be k(-5). Solve -6*c + c - m*g = 17, 0 = c - 2*g + 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -6. Suppose 3*g - 8 = -g, -2*n + 4*g = 2. Suppose n*b - 12 = 6. What is the highest common divisor of r and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 17 = -18*m. Which is smaller: m or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 428 + -419. What is the nearest to -2\/3 in c, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 364 and 18?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2572 divided by -4\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/132 and -155\/336?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -0.5, 12, 4\/3 in ascending order.\nAnswer: -5, -0.5, 1, 4\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262616.\nAnswer: 2, 17, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-11)\/((-165)\/15). Let x = -5 - -8. What is the nearest to 1 in y, 2\/59, x?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:06 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*a + 29819 = 0, 4*x + 15*a = 12*a + 23858. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8 and 23\/1544.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - -57?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l. Let b(r) = -r + 5. Let i(k) = k - 4. Let j(t) = 4*b(t) + 5*i(t). Calculate v(j(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3021247.57 rounded to the nearest 100?\nAnswer: -3021200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 42, -172?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9747 by -3.\nAnswer: -3249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/546 and -113\/43680.\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 6 = 3*g + 5*y, -5*y - 4 = -2*g. What is the smallest common multiple of g and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 0.4 (b) 58 (c) 0 (d) 2\/3 (e) -63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/3 - 14912*p - 96201980\/3.\nAnswer: -4*(p + 2905)*(p + 8279)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 + 49\/(-7) + 14. Suppose 5*k + l*k = 6600. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aa0320 (base 11) in base 3?\nAnswer: 111022021221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(-216)\/240.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*f = 127*f - 440 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/90 + 5*l**4\/18 + 14*l**3\/27 - 6*l - 15. Determine q so that w(q) = 0.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*b = -4 - 13, -3*i + 9*b = 15*b - 27 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-92)\/(-6) - 2\/(-3). Let i = y + -11. Let x = i - 3. Let u(t) = 2. Let c(j) = j - 3. What is x*c(o) + 2*u(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = l - 13, 2*l + 2*q - 18 = -0*l. Suppose -3*v = -l - 5. Let w be (-1 - -6)*2\/v. Calculate the greatest common factor of 3 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1824*m - 1. Let j be f(0). Which is the second biggest value? (a) 2 (b) -0.4 (c) j (d) -2.061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/728*(-67 - -51))\/(11\/(-26))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 10 + 4*i**3 + 0.\nAnswer: 4*i**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1452708 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4503 and 15?\nAnswer: 22515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1658 by 11.\nAnswer: 1658\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529634016 a multiple of 9002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497960 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -19.23. Let p = -0.179 + o. What is p rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 1979513016559?\nAnswer: 1979513016545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -504 - -1313. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*r - r. Let n = 197 + -2953\/15. Is n greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.342 + -8.34212. Let n = -3.97 + -0.03. Let w = n + r. Round w to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 20*g - 66. Let z be n(16). Which is the biggest value? (a) z (b) -3 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = -55. Differentiate 4*h**2 + 1 + n*h - 11*h with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-8) + ((-207)\/18 - -10)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 1334 = -3*b + 21*z, 4*b - 5*z - 1782 = 0. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 5. Calculate the lowest common multiple of b and 104\/18 - 4\/(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -10.00018. Round c to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**3\/21 + 320*y**2\/7 - 393. Factor k(z).\nAnswer: 2*z*(z + 320)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*k**2 - 44114*k + 9*k**2 - 94*k**3 + 44114*k wrt k?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004589 rounded to four dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49798387 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 + 211. Sort -92, j, 3 in increasing order.\nAnswer: -92, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 4. Let t(i) = -146*i + 50. Let f be t(y). Let c = -827 + f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2672\/1764 - (-308)\/7546\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 2675?\nAnswer: 23\/2675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/((-770)\/(-147)) + (-4 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132.5 - 133.5. What is the nearest to 296 in 2, h, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-8) + (28 - 12))\/17.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 44*i**2 + 121*i + 93. What is d(41)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408483561?\nAnswer: 563, 1249, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14228 + 14291. Which is the second smallest value? (a) 2\/9 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = -6. Suppose -l = -6 - b. Suppose -4*d - l = 2*x, -7 = -x + 3*d - 4. Is x equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4995 - -4995.5. Sort -1751, b, 5.\nAnswer: -1751, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/84)\/((-9)\/(81\/6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.7 - 13.1. Let t = h - -13.7. Let k = t - 6. What is the closest to 0.3 in 1, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/11)\/w)\/w**24)\/((w*w**(-2))\/w**(-15)) assuming w is positive.\nAnswer: w**(-432\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/((-2)\/(-9)). Let q be (2\/3)\/((-3)\/9). Let n be 0\/(0 + 0 + -1). Sort q, u, n in descending order.\nAnswer: u, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -79*q + 26. Let k be i(-4). What is the greatest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 521205755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)*n*(n*n\/(n\/(n*n**(3\/13)*n)))\/n*(n\/((n*n**(-2\/11))\/n*n))**(23\/2) assuming n is positive.\nAnswer: n**(189\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.730096 kilometers in meters?\nAnswer: 6730.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 531 + -525. Solve -1 = -n*b - 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 29. Let z be h(8). Suppose 3*v = 2*p - p - 14, 2 = -z*p - 3*v. Solve p*f + 9 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:03 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47700845*c**3 + 170996614*c wrt c.\nAnswer: 286205070*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtpzrh. Give prob of sequence thr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/8)\/(-15))\/(4\/(48\/(-39))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:20 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2151.688 years?\nAnswer: 215.1688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v - 5 + 6*v + 3. Let q(m) = -1. Suppose -390*k - 29 = -419*k. Give k*s(t) - 5*q(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*46918\nAnswer: -281508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Let d be ((-23)\/23)\/(6\/(-10)). Which is the closest to 0.1? (a) j (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913914922.\nAnswer: 2, 456957461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -b - 41. Let n = 54 + b. Let v = 178 - n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbcbcc. What is prob of sequence cbbc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 272835, 272745, 272655, 272565, 272475?\n\"Answer: -90*x + 272925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*l - 8, 3*z - 13*l - 30 = -10*l. Solve -284 = -z*t - 260 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2358 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 29*w. Solve 18 = -3*r + 2*j, -3*j = -w - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/111 and -71\/4070.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21636417?\nAnswer: 3, 11, 655649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -259 + 261.11. Let k = 0.46 - -0.51. Let o = k - m. What is o rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**7\/42 + b**5\/10 - b**3\/6 - 4*b - 2. Let w(m) be the first derivative of f(m). Solve w(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**4 + 3067*x**2 - 3067*x**2)*(-3*x + 2 + 0 + x).\nAnswer: -18*x**5 + 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.080541 days to milliseconds.\nAnswer: 525358742.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1032, 8343, 28206, 66897, 130692, 225867?\n\"Answer: 1046*k**3 - 11*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2263462 and 12294?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 40*o + 81. Determine j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.071006 + -0.0717. What is k rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -72. Let m(d) = d + 8. Let q be m(n). Solve a - q = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 8*w**7\/21 - w**4\/3 - 5*w + 12. Let r(m) be the first derivative of a(m). What is the third derivative of r(p) wrt p?\nAnswer: 960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -4\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2216742 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0038637 and -8.\nAnswer: -8.0038637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, p: 5, l: 3}. What is prob of picking 2 q?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86005577*d*g + 189358944*g wrt d.\nAnswer: -86005577*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 3. Let u = 44 - 40. Give v(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*c**5 - 511 - 14*c**3 - 515 + 1542 + 1228*c - 516 - c**2 wrt c?\nAnswer: 1020*c**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 1 m when three letters picked without replacement from {m: 6, e: 2, r: 7, i: 1, b: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*23612\nAnswer: 94448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 10280636*r**2 - 6605722425596*r + 6605712144964.\nAnswer: -4*(r - 1285079)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67668, 67645, 67624, 67605?\n\"Answer: t**2 - 26*t + 67693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w - 35 = -34*w. Calculate the lowest common multiple of 2 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.33.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 14741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = -6. Let v = o + 4. 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 nearest to -2 in -21.3, 3, 0.033, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 84 - 63. Let b(i) = i**3 - 6*i**2 - 8*i + 5. Determine b(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 4, c: 7}. Give prob of sequence jc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/7 + 22*u**3\/7 + 82*u**2\/7 + 122*u\/7 + 60\/7 = 0. What is u?\nAnswer: -5, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -788885, 1, -20, -2 in descending order.\nAnswer: 1, -2, -20, -788885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j - 6. Let d(c) = 10*c + 7. Let k(o) = 6*d(o) + 7*q(o). Let y(g) = -2*g**2. Give y(k(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 12, o: 6}. Give prob of sequence bbo.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12 + 2*j - 7 + 9. Let s be q(-6). Let a be (-2 - -14)*(s + 0). Solve f + a = -3*f + 4*t, 4*t = -5*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by -4\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4823946um in kilometers?\nAnswer: 0.0000000004823946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1048380 by 505.\nAnswer: -2076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(76) + 4 - sqrt(57)\/sqrt(27) - -2*-2*sqrt(19)*-4.\nAnswer: 4 + 56*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 9*f**2 - 10*f + 6. Let d be l(6). Suppose -3*p - d + 282 = 0. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {h: 2, b: 2, c: 1, t: 2, e: 8, j: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a century?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12318294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 2*w**2 + 4*w + 12. Let b be s(-2). Solve 0 = 2*h - 4*a + 2*a - 2, 0 = -5*h - b*a + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + 267. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (16 + -25) - 21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/23089 + 46152\/300157. Put -0.4, c, -161, 2, -4 in decreasing order.\nAnswer: 2, c, -0.4, -4, -161","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(304\/(-154) + 2). Let k = -53 + q. Suppose 5*h + 6*o = 4*o + k, 5*h - 21 = -3*o. Solve 2*l + h = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.56, -119, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.56, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*y + 2*y + 43, 2*r - 16 = y. Suppose 0 = -2*k + 1 + r. Suppose 3 = -b - 3*c, -k*c - 13 = -b + c. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*n + 996. Which is greater: n or -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.31.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-5)\/m*m)\/m)\/m)**41 assuming m is positive.\nAnswer: m**(-246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*((sqrt(108) + (-1 + sqrt(108))**2*-4)*3 + -5).\nAnswer: -2631 + 324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = -21 - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6\/17))\/((t\/t**(-16))\/t))**(1\/51) assuming t is positive.\nAnswer: t**(-87\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from zzzhhkzkzhzhjjr.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -91*k. Let p(m) = m. Let b(j) = a(j) + 65*p(j). Let y(n) = n + 2. Let u be y(-3). Let o be b(u). Calculate the greatest common factor of 65 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40101, 160135, 360101, 639999, 999829?\n\"Answer: 39966*h**2 + 136*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 26 = -2*r + 32, -i - 14*r + 180 = 19*r + 55 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 2299 + 2294 - 42*n - 4591 - 11*n.\nAnswer: -57*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-60))\/(0 - (-4)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172538 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 4. Let t be f(6). Let w be 0 - 5*(1 - t). Let k = w + -7. Is k less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(-2 + sqrt(2448) + 0) + -2).\nAnswer: -48*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Suppose -5*i - 3*c = -n, -4*i + 3*c = -i + 3. Is i at most as big as -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 7*j - 2. Let d = 0 - 5. Calculate the smallest common multiple of s(d) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from wowkowoowkwo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 262*l - 1158. Let f be g(5). Calculate the greatest common divisor of 1026 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4119*i - 8246. Calculate n(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 651 and 38116701?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-2)\/2))\/(95\/190).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2 and (-22)\/12089*-469*(-1)\/12?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536 = 11*y - 78*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*l - 3*k, -2*l + 2*k - 5 = 3*k. Let w be (1\/(-1 - l))\/(-1). What is the units digit of 6 + (w - (0 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4584 divided by 1528\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1432*-6848.55.\nAnswer: -9807123.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74\/141 + 34411\/282. Let b = j + -121. Which is smaller: 0.104 or b?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 145, 518, 1253, 2470, 4289, 6830?\nAnswer: 10213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**3 - 15*t**2 - 10*t - 11. Let d(h) = h**3 - 3*h**2 - 2*h - 2. Let s = 64 + -66. What is s*k(m) + 11*d(m)?\nAnswer: m**3 - 3*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.29 and -83.7.\nAnswer: -24.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14913, -14911, -14909, -14907?\n\"Answer: 2*i - 14915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -35, -72, -135, -230?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z**5 + 2*z**4 + 471*z**3 + 6425*z**2 + 2*z wrt z?\nAnswer: 360*z**2 + 48*z + 2826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 67560 to the nearest 1000.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3299*q - 3350*q = -10608. What is the highest common factor of 1404 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183385 by 5.\nAnswer: 36677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9 = 58. What is the remainder when 134 is divided by d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102391744 * 0.5.\nAnswer: -51195872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5\/7 + 160584*q**4\/7 - 2149416786*q**3\/7 + 12892165284*q**2\/7 - 2762388933*q + 1227687636 = 0?\nAnswer: 1, 4, 26761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/21)*l**1)\/((l\/((l**(-27)*l*l)\/l))\/(l*l**(-3\/17)\/l)))**(-50) assuming l is positive.\nAnswer: l**(450250\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5.81. Let h = b - 0.1900072. Round h to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -367 - -367. Suppose 2\/5*m + 8\/5*m**3 - 2*m**2 + j = 0. Calculate m.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*n - 12, 16*v - 2*n = 13*v - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:42 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(5*sqrt(12)\/sqrt(3)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 9*h**2 - 25*h - 22. Let c be z(-5). Solve -5*j - 13 = -c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-77264.\nAnswer: 695376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**3 + 24255*q**2 - 17295120*q + 3358411200 = 0.\nAnswer: 408, 4035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - y + 2*y - 4 + 3*y + 17*y.\nAnswer: 17*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6541340 and 24\/905.\nAnswer: 6541340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 1 + 534*w + 27*w**2 + 536*w + 7*w**4 + 529*w - 1600*w to the form v*w**4 + x*w**2 + m*w + n*w**3 + y and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/6)*(x*(x*x**16)\/x*x)\/x assuming x is positive.\nAnswer: x**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120639661.\nAnswer: 1249, 96589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11328)\/192)\/(-5133)*12\/2?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-4)))\/(h\/h**(1\/6))*(h**1)**(-38))**37 assuming h is positive.\nAnswer: h**(-7733\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*h - 6*h - 4*h - 7*h - 7*h**2 + 40*h - 13*h**2.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1, -1, 1\/18, 2\/3, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26748.35994 from -2046.\nAnswer: -28794.35994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((78\/(-18))\/13). Let l(x) = -9*x**2 - 53*x. Let j(o) = -o**3 - 18*o**2 - 106*o. Let m(c) = g*l(c) + 4*j(c). Find the second derivative of m(w) wrt w.\nAnswer: -24*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i. Let k be s(1). Suppose -k*j + 12 = -2*j. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 28 = -2*u, -2*k + 7*u + 28 = 2*u. Let x = -50 + 52. Suppose k*f - y - 77 = f, -52 = -x*f + y. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 4. Let d = 7 - 4. Let c be g(d). Let r = 294787 - 294786.5. What is the closest to c in r, -2\/5, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 11?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 34 - 39 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eegggkeeeexlgkeg. Give prob of picking 1 g, 2 l, and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6)*-5*1) - sqrt(45)\/(-3*sqrt(900)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14*c**2 + 24. Let h(k) = 9*k**2 + 15. Let l(d) = -8*h(d) + 5*q(d). Let v(y) = -143*y. Calculate l(v(z)).\nAnswer: -40898*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -177670, -179566, -181462, -183358?\n\"Answer: -1896*l - 175774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**5\/15 - k**4\/2 - 4*k**3\/3 - k**2 + 4. Let p(f) be the second derivative of y(f). Factor p(s).\nAnswer: -4*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043323 (base 6) in base 7?\nAnswer: 562260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**2 + 259*m + 69. Let n be t(29). Suppose -120 = 2*i - 114. Let d be (-26)\/(-6) + (-1)\/3. Put d, i, n in increasing order.\nAnswer: i, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84 - 4*y**2 - 235 - 29 + 4*y**2 - 2*y**2 as d*y**2 + g*y + r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -3*u - 4 - 2*u - 2*u**2 + u + 4*u**2. Differentiate z(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n\/n**(-8))\/n)\/n)**(-2\/5)\/((n*n*n*n**(1\/12))\/n**(22\/3)) assuming n is positive.\nAnswer: n**(13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3\/2 (b) 2\/55 (c) -0.8 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2. Let l(t) = t**3 - 4*t**2 - 2. Let n = -15 + 14. Give n*l(v) - 6*m(v).\nAnswer: -v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, d: 4, e: 1, a: 5, r: 5}. Give prob of picking 1 a, 1 d, and 1 r.\nAnswer: 25\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 6. Let r be z(4). Suppose 3*y + r*y = 20. What are the prime factors of 117\/6 + (-2)\/y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1590 = 5*j + 5*r, -30*j + 35*j - 1605 = -2*r. Calculate the greatest common factor of j and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595 and 55097.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**5 - 4*f**2*i**2 - 9*f**2*i + 7*f**2 - 323*f*i**2 - 2*f*i wrt f.\nAnswer: -40*f**3 - 8*i**2 - 18*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1, p = 3*s - 6 - 56. Suppose d + 2*d = 2*x - 39, 5*x + 2*d - 50 = 0. Calculate the remainder when s is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 0*g**2 - 2*g**2)*(3313839 - 3313839 - 4377*g).\nAnswer: -4377*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 7414296.\nAnswer: 7414296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111709.\nAnswer: 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12391296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6*-1*(-57)\/(-38). Let k(s) = -s**3 - 4*s**2 - 6*s + 1. Let l(p) = -p**3 - 4*p**2 - 5*p + 1. Let n(y) = 3*k(y) - 4*l(y). Determine n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 3*p + p**2)*(219*p**2 + 908*p**2 - 255*p**2) to the form d*p**3 + u*p + t*p**2 + v + i*p**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c + 1. Let z be x(1). Let q be (((-27)\/6)\/(-9))\/(7\/2520). Calculate the greatest common factor of q and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711334057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 68. Let n be g(-24). What is b in 2\/5*b**n + 0 - 8\/5*b + 0*b**2 + 6\/5*b**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-408)*3 - 1014\/(-51)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3)\/(30\/(-25))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -46. Suppose 5*c = 0, -5*v - o*c + 0*c = -740. List the prime factors of v.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 5*c = -2*j + 34, -3*c + 18 = j. Let d = j + 49. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 9) to base 15\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -16*g**2. Let a(s) = -1759 + 1759 - 2*s**2. Determine c(a(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 41*o + 441. Determine u(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*k = 2*k - 10, -u = 3*k - 13. Suppose u*v = w + v + 6, 4*v = -5*w + 8. Suppose h - 4*n - 109 = w, -5*h + 10*h = -3*n + 614. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400955100 rounded to the nearest one million?\nAnswer: -401000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11494081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -20. Suppose 3*r - 5 = -j, -r + 12 + w = 4*j. Suppose 42 = j*a - 53. What is the remainder when a is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 times -1?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5804048 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = 3*n. Suppose n = -3*s - 2*t + 2, -5*s - t + 4*t = -16. Find the second derivative of -12*u + 9*u**3 + 98*u**2 - 98*u**s wrt u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u. Let g = 79 - -68. Suppose 45*l - 24*l + g = 0. Calculate d(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*(-105)\/(-150)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1265 (base 13) to base 15.\nAnswer: -b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 35*o + 1870. Determine r(-44).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1964*j - 3. Suppose -6*c = -3 - 3. Is z(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -69. Let i = -0.2 - -0.4. What is the second smallest value in k, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 + 5 = 0. Suppose -4*c = -14 + h. Suppose -c*x + 39 = -27. Calculate the lowest common multiple of 12 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*-5*(-5 + (sqrt(1573) + 1)**2)*-1*6.\nAnswer: -141211 - 1980*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5 - 0) + (-3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 4. Let j(y) = -2*y + 3. Suppose -4*a = -13 - 3, -2*w - 3*a = 0. Let q(h) = w*j(h) - 5*g(h). Find the first derivative of q(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*(-1)\/(-12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 = -15*h + 60*h - 304 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 274*n - 269*n - 14, -2*f = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19721 and 148?\nAnswer: 78884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/112 + (-248)\/(-64) + -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 20 = 2*d, -13 = 2*n - 5*d + 2. Suppose 92 = n*v - 118. Let i = v - 7. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.044 + 0.356. Which is the third biggest value? (a) g (b) 2 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 529 + v**2 + 752 - 286 - 2*v + 305 in the form z*v**2 + w + y*v and give w.\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.2, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 1. Let h(l) be the third derivative of -l**4\/8 - 2*l**3\/3 - 3*l**2. Let r(v) = 7*v + 54. Let q be r(-8). Calculate q*g(j) + h(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:51 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -1\/2, -3, 6597, 1\/6?\nAnswer: 6597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Let r be h(0). Suppose 5*t - 25 + 0 = r. Let l be (t - 11)\/((-6)\/4). Solve -4*y - l - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 2, -4248.\nAnswer: -4248, 0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:29 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2655271 - 4?\nAnswer: -2655275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a + 3*v = 31*a + 10, -2 = -a - 5*v. Suppose 3*z + m = 68, a + 4 = z + 2*m. Solve 5*t + z = -3*b + 9*t, 3*t = 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57668 divided by 57668.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(3\/(-4) - (-1)\/4). Suppose -p*q + 697 = 7. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2686 and 42107504.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u**3 + u**2 + u. Let l(k) = -2*k + 13. Let w be l(11). Let s be (-11)\/9 - 2\/w. What is j(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000777 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 363950?\nAnswer: 363950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 10:29 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/21, -3\/5, 1 in ascending order.\nAnswer: -3\/5, -2\/9, -2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4971 and 87618.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14)\/(x*x**9)*(x**(-2)\/x)**(-13))**(-32\/5) assuming x is positive.\nAnswer: x**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 117812244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1148818 and 53009.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmv. What is prob of sequence mm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 69 (b) -4 (c) 2\/25 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 120.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*0.1\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*j + 2*j - 340 = 0, -5*j = -4*d - 445. Let p be (-42)\/d + (-46)\/(-10). Sort p, 3, -0.2 in decreasing order.\nAnswer: p, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/7 + 1298*h\/7 - 2184 = 0.\nAnswer: 12, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791090.\nAnswer: 2, 5, 239, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (504\/(-468) + 1)*-117?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 11 = -14. Let z(v) = -v. Let d(m) = m - 1. Let s(y) = 5*d(y) + 6*z(y). Calculate the lowest common multiple of s(-10) and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81? (a) -1\/22 (b) -21877 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14861214 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - 210303422?\nAnswer: -210303340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514482139695.1 plus -5?\nAnswer: 514482139690.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4) + 4 + sqrt(19) + sqrt(304) + sqrt(19) + 3.\nAnswer: 7 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*((0*t - 3*t + 2*t)*(-1 + 1 + t) - t**2 + 3*t**2 + 0*t**2 + (t + 0*t - 2*t + (-t + 0*t - 2*t)*(-4 + 3 + 0))*(2*t + 2 - 2)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 491 - 113 = 0. Suppose 2*d = 2*l + 50, 26 + 20 = 2*d - l. What is the highest common divisor of w and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v**16)\/(v*v**(4\/5)\/v*v)**47 assuming v is positive.\nAnswer: v**(-508\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28836761.\nAnswer: 28836761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 95.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -4 (b) -0.4 (c) -414\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1505?\nAnswer: -4\/1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/30 - 7*m**4\/24 - m**3 - 24*m**2. Let a(p) = 3*p**2 + 14*p + 12. Let h(w) = -3*a(w) - 5*u(w). Calculate h(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1353 (base 8) to base 3.\nAnswer: 1000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 9*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/3)*h**(-20\/11) assuming h is positive.\nAnswer: h**(-104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -2 (c) -4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/a**(-3))\/(a**(-6)*a*a*a*a**(-5)\/a*a)*(a**(-1\/5)\/a*a*a*a**(-3\/5)*a)\/(a**(-1\/2))**11 assuming a is positive.\nAnswer: a**(1219\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 2.795\nAnswer: 0.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113722 by 2132.\nAnswer: 56861\/1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 8*g - 6. Let h be v(-9). Suppose 2*k = i - 0 - 1, -i - h = -4*k. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 7. Let q = -89 + 103. Suppose -3*x = -5*d + 21, -x - 4*d = x + q. Let g be s(x). Do -2\/23 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 6*d + 2*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*o*q + 473*o - 494493*q with respect to o.\nAnswer: -10*q + 473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/5*90\/108)\/(24\/(-18)). Which is the nearest to -1? (a) s (b) 3\/7 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10797838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*u + u + 5 - 3*u)*(-5 - 3 + 0)*(-2*u + 2 - 2) in the form h*u + t + y*u**2 and give h.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*j + 9 - 16, 0 = -2*z + 6. Factor 0 + 0*f - 1\/2*f**j.\nAnswer: -f**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, -40, -93.\nAnswer: -93, -40, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(-1\/8)*b*b**2*b*b*b*b**(2\/21) assuming b is positive.\nAnswer: b**(2027\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**3 + 27*h**3 - 24*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + 0. Let w = d - 7.5. Let f = w + 6.7. What is the second smallest value in 2\/5, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2 - 4*x**3 + 1 + 3*x - 8 + 4. Let z = -24 - -19. Let r(w) = -7*w**3 + 5*w - 10. Calculate z*j(y) + 3*r(y).\nAnswer: -y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 28*g**2 + 8*g + 27. Is w(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:16 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 - -0.06. Let x = a - -0.57. Let h = 0.3901 - 0.0901. Put h, x, -2 in increasing order.\nAnswer: -2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -3*s, r + 3 = -2*s. Let f be 62\/(r\/((-5)\/(-2))). Let t = f - -67. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(209)\/(sqrt(132)\/sqrt(12)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (22 - (-1 + 14)) - 2) + -12?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*z = 3*b - 64, 5*b = 3*z + 50. What is the derivative of -b - 4*q + 23 - 14 wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26, -25, 2, 67, 182?\n\"Answer: 2*j**3 + j**2 - 16*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460827 by 8.\nAnswer: -1460827\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 7*j**8\/8 - j**4\/6 - 2*j**2 - 36*j. Find the third derivative of l(r) wrt r.\nAnswer: 5880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27053248*r + 22 - 22 - 5328358*r.\nAnswer: -32381606*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146 or -159?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -27*y**3 - 2*y**2 - 2*y. Let i(u) = -3700*u**3 - 275*u**2 - 275*u. What is -4*i(r) + 550*o(r)?\nAnswer: -50*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 32. Let l = 400 + -400. Suppose -3*s + 4*n = -z, l*s - 4*n = -2*s + 26. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004014103 to 6 dps.\nAnswer: 0.004014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 + 192*m**2 + 3002*m + 71. Calculate p(77).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/135*((-2601)\/187 - -15).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20425)\/95)\/(-43))\/(10\/(-94)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264 + 260 - 28*h - 764 + 240 - 13*h.\nAnswer: -41*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 2, z: 7, y: 1}. Give prob of sequence zy.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3393 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000137 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 6. Suppose 2*y = -b*c - 1, 2*c - y - 4 = -0*c. Solve -6 + c = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let v(z) = -10*z. Suppose 912 = 98*r - 1440. What is r*c(u) + 4*v(u)?\nAnswer: -64*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**8\/336 + u**5\/20 - u**2 - 2. Let d(r) be the second derivative of b(r). What is the third derivative of d(w) wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 3*l**3 + 2*l**4 + (l - l - 2*l**2)*(7*l**2 - 23*l**2 - 16*l**2).\nAnswer: 66*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*d - 6*b - 12, d + 4*b - 5 = 0. What is the nearest to 2 in 0.4, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0 - 15. Suppose 4 = 3*y - m - 0*m, o*m - 34 = -3*y. Suppose -30 = -y*b + b. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*b = -21, 0 = 14*g - 11*g + 4*b + 3. What is the hundreds digit of (-3813)\/(-8) + g\/24*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1, 1\/3, 0.1, 1304?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 24. Let k = -8 + x. Let t be (-2)\/(-1)*k\/(-14). Which is greater: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61\/2 - -27. Let d = -46004\/3 - -14836. Let l = d + 484. Find the common denominator of l and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/5 + 656*w**3\/5 - 383858*w**2\/5 + 42319344*w\/5 + 42703857\/5 = 0.\nAnswer: -1057, -1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + (-184)\/32. Let l be f*(-1)\/2 - 6. Sort l, 0.1, 4 in ascending order.\nAnswer: l, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38411 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 9. What is the remainder when 50 is divided by c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i + 40. Let p be (-4)\/i + 23\/5. Suppose 0 = -f + p*f + 4*w - 2400016, 0 = -5*f - 2*w + 3000008. Round f to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 95\/2. Let n(d) be the second derivative of m*d**2 - 1\/20*d**5 + 1\/4*d**4 - 1\/2*d**3 + 0 - d. Factor n(i).\nAnswer: -(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -173, -256, -337?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k = 32*k - 180. Calculate the lowest common multiple of k and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-56772)\/348992 + 2\/14 and 39\/128.\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 72 = -22*z, 16 = -2*k - 102*z + 100*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 4*z**2 - 4*z + 2. Let m be 3*(3*(-4)\/36 - -1). Let o be d(m). What is the tens digit of (2 - 5)\/(o - 3) - -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10389667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 10*t + 20. Let b be a(7). What is the hundreds digit of (76\/8)\/(b + 13\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 120 = 216. Suppose d*u = 46 + 18. Solve -2*r = -u, 2*p = -2*p + 5*r - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1796962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -881*d - 1119*d - 824*d + 469*d.\nAnswer: -2355*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -5?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.387 times 24444?\nAnswer: -9459.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/689 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 5*x**2 - x - 4. Let f be w(-5). Let o = -390 - -386. Put o, -1, f in decreasing order.\nAnswer: f, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(1*(-2 - -3)). Let b(t) = t**2 + 7*t + 9. Is b(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(39)\/sqrt(3))**2 - -4*(sqrt(13) + -5).\nAnswer: -46 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**3 + 2*k**2 + 5*k - 11. Let q be 0 - 3*(-3)\/3. Let n(x) = -4*x**3 + x**2 + 3*x - 6. Give q*t(m) - 5*n(m).\nAnswer: -m**3 + m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 665 - 663. Let d(z) be the third derivative of 6*z**i + 0 - z**3 + 1\/20*z**5 - 1\/8*z**4 + 0*z. Factor d(c).\nAnswer: 3*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 1, v: 8, f: 2, l: 2, j: 5}. What is prob of picking 1 v, 2 k, and 1 p?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(2\/25))*x)**(-7\/6)\/(x*x**(-20)\/x*x**(-1)*x) assuming x is positive.\nAnswer: x**(937\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/7 + 4184*z**2\/7 - 3197629*z\/7 + 682936230\/7 = 0. What is z?\nAnswer: 457, 3270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:07 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12740 = 299*i - 313*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47a (base 13) to base 11.\nAnswer: -647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 63\/2*p - 3\/2*p**2 + 3\/2 - 63\/2*p**3 = 0?\nAnswer: -1, -1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7076.28ms?\nAnswer: 0.117938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*d - 19*d + 12*d)*(16 + 5*d - 29 + 15) in the form l*d**2 + h + r*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3 + 5. Suppose t - 5 = -b. Differentiate 38 - t*q**2 + 2*q - 39 - 2*q with respect to q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15*v**2 + 4*v + 4. Let m = 2283 - 2287. Let g(x) = -374*x**2 - 99*x - 99. Determine m*g(y) - 99*p(y).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q**2 + 17*q**2 - 13*q**2)*(3*q**2 + 3*q**2 - 7*q**2) - 137*q**4 + 269*q**4 + 225*q**4.\nAnswer: 339*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/14, -5, 0.2, -4, 465, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 222 + -221.798. Let i = w - 0.202123. What is i rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1521.1 + 1521. What is the nearest to d in 4, -2\/3, 3, -100?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, 1\/6 in descending order.\nAnswer: 2, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33230 in 0.5, -6, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*g**5 + 137*g + 2 + 1 - 16*g**5 - 3*g**5 - 71*g**5 wrt g.\nAnswer: -1660*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 9 = -5*j, 4*w + 47412 - 47448 = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 993*p**3*v**5 - 99*p**3*v**4 + 38743*p**3*v**2 wrt v.\nAnswer: 59580*p**3*v**2 - 2376*p**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 8*u**2 + 6*u - 3. Determine a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 28 + 0*p**5 - 35\/2*p**2 + 0*p**4 + 1\/3*p**6 + 0*p**3 + 0*p. What is the second derivative of t(z) wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2312*n - 2313*n - 3*y - 10, 4*n - 2*y - 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 3. Let t be l(-3). Suppose v - 4*v + t = 2*b, 2*b - 6 = 3*v. What is the third smallest value in 1\/3, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 10085*c + 30300.\nAnswer: -5*(c - 2020)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274163308*t**4 - 10*t + 142887 wrt t.\nAnswer: -3289959696*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61 and -41.7381.\nAnswer: 2546.0241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let k(m) = 4*m**2 + m - 3. Let g be k(3). Let w(l) = -5*l - 89*l + 12*l - g*l. Calculate w(f(z)).\nAnswer: -236*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*d**3 + 78*d**2 + 465*d + 126.\nAnswer: -3*(d - 7)*(d + 3)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181\/78 + -28\/13. Which is the third biggest value? (a) i (b) -2 (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + k + 2. Let l be (5 - (-1 - -8))*1. Determine n(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*l = 5157, -6 - 3 = -3*l. What is the highest common factor of 98 and a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 4*c - 1. Suppose -6*r + 120 = -2*r. Let f be ((-7)\/(-21))\/(2\/r). Calculate m(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.04, -1\/2, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-54) - (-3)\/(-27))*3. What is the closest to 1 in -8, 0.2, -3, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5452 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44859, -179443, -403763, -717825, -1121635?\nAnswer: -1615199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oly when three letters picked without replacement from {a: 2, y: 2, z: 2, o: 1, s: 2, l: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 - 3*s + 3. Let k(v) be the second derivative of -v**5 + 8*v**3\/3 - 8*v**2 + 35*v. Determine 2*k(w) + 11*r(w).\nAnswer: 4*w**3 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 1:01 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180451, 360864, 541277, 721690, 902103?\nAnswer: 1082516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3734373l to millilitres.\nAnswer: 373.4373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 30. Find the third derivative of -13*b**4 + 11*b**4 - 16*b**d - 8*b**4 wrt b.\nAnswer: -240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3022 (base 5) in base 4?\nAnswer: 12003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4014 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28028308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*t - 4*t + 3*t + (1 - 6 + 4)*(-43*t + 21*t + 6*t) to s*t + z and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 7*a**2 + 0*a**2 - 8*a**2. Let n(f) = -f. Calculate 9*n(k) - 2*o(k).\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 365 + 302 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -5. Let n = o - -4.95. Let h = n + 0.35. Which is the third smallest value? (a) h (b) 1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13756, -13740, -13706, -13648, -13560, -13436, -13270?\n\"Answer: v**3 + 3*v**2 - 13760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 2\/3 (c) 2\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**2 + 1\/9*u**4 + 1\/9*u**3 + 0 + 0*u + 1\/90*u**6 + 1\/18*u**5. What is q in v(q) = 0?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -618*f**2 - 14*f - 14. Let h(i) = -44*i**2 - i - 1. Let q(a) = -3*d(a) + 42*h(a). Let n(y) = 145*y**2. Give q(n(j)).\nAnswer: 126150*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 17*x**2 + 86*x + 4. Let j be q(4). Solve 0 = j*k + 147 - 159 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 16) to base 12\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1164 - -1160. Let t(w) = -w**3 - 5*w**2 + w - 3. Calculate t(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-24*4\/(48\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, 1 y, and 1 c when four letters picked without replacement from pcyxyyxyypxydpycco.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 174, 720, 1630, 2904, 4542, 6544, 8910?\n\"Answer: 182*n**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 5*x + 3. Let o be w(5). Suppose -o = -5*v - 43. Let q = 3.5 + 0.5. Which is the third smallest value? (a) v (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bko when three letters picked without replacement from ffbbkfkffkno?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -107, -11, 0 in ascending order.\nAnswer: -107, -11, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 1.4 (c) 5\/4 (d) -0.5 (e) -5 (f) -0.24 (g) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91377100 - -91332619.501. Let y = o + 45745.49259. Let t = y - 1265. What is t rounded to four decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/3 - 6*f**4 - 46*f**3\/3 - 2*f**2 + 24*f = 0. What is f?\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n - 25*n + 19*n**3 + 52*n.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 6*k**2 + 4*k - 61. What is the remainder when q(-10) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140941 - 699259. Round l to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 117 = 91. Let a = 151 + -1659\/11. Sort n, 9, a, -1\/7 in decreasing order.\nAnswer: 9, n, a, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -1 + -1*129\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8 - (-67 + 61)) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q\/q**(1\/9))\/q*q)\/(q\/q**(5\/3)))**(42\/13))**(-27) assuming q is positive.\nAnswer: q**(-4032\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 34*f + 6. Let z be (-71)\/213 - (f\/(-3) - 0). Sort z, -0.4, 0.2, 0 in decreasing order.\nAnswer: 0.2, 0, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 1115636?\nAnswer: -1115642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 216 + (-8 - -1 - -1). What is the highest common factor of m and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444 a factor of 3536505864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/44 >= 14381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 21 - 85. Suppose 4*m - n = 3*m + 2*d, 2*m = -2*d + 70. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 + 2 - 2 + 5 + 5*p. Let q be (-5)\/(-10) - 7\/(-2). Suppose q = 5*w + 34. Let l(y) = 7*y**2 + 6*y + 6. Determine w*h(k) + 5*l(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 12:56 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -4, -43 in ascending order.\nAnswer: -43, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 115. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -11. Suppose 5 = 2*c + h, 3*c + s = -2*h + 9. Solve -3*o = -o + c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 29, 11, -15, -49?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + z + 4, 12 = -3*a - 3*z - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 38*j. Let f = -63 - -74. Let i(c) = 9*c + 4*c - f*c. What is h(i(u))?\nAnswer: 76*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 14 = 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**3 + 118*m**2 - 4*m - 16.\nAnswer: -24*m + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/5*(-2370)\/(-474).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18*w**2 - 535*w - 722. Calculate q(31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10910326*n**3 - 3627980*n**2?\nAnswer: -65461956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - f - 19 = -5*f, -5*f = 5*c - 30. Suppose -5*t = -0*t - c. What is the remainder when 3 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:56 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-1*((-35)\/10)\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -115\/3, -16, 3\/2, 11\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -10, -4, -2, 2 in ascending order.\nAnswer: -29, -10, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:36 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(24)\/sqrt(3))*6)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28937331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 + 5*v**2 + 0*v**2)*(2*v + 11*v - 6*v) + 3*v - v**3 - 3*v - 20 - 1609*v**3 + 1070*v**3 + 21 as l*v + t*v**2 + i*v**3 + o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 5*i + 22, -12 = -49*i + 52*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:11 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4\/5 - 2*r**3\/5 - 7*r**2\/5 - 4*r\/5 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 3.05. Let o = -0.06 + -0.94. Let q = 0 + o. Sort m, -2, q in decreasing order.\nAnswer: q, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/24*(3 - 21). Solve k*c - 74 = -98 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + j + 3000 = 129, -3*r = 3*j - 2883. Does 79 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -9 - -2) + -2 - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o - 25*o - 231 - 77 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1734 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 320, 313, 318, 341, 388, 465, 578, 733?\n\"Answer: f**3 - 14*f + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {p: 4, s: 3, n: 9, m: 2}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -217082*k**2*n*p - 4*k**2*p*t**2 + k**2*p*t - 68*k**2*p - k**2 + 11*k*n*p*t**2 - 24*p*t**2 wrt n?\nAnswer: -217082*k**2*p + 11*k*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -997099, -997096, -997091, -997084, -997075, -997064?\n\"Answer: j**2 - 997100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**11*c)\/c)\/c**(7\/3))**(2\/19))**(-1\/9) assuming c is positive.\nAnswer: c**(-52\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303315 (base 6) in base 3?\nAnswer: 10121001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71341 <= 71342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -2*j**7\/21 + 5*j**3\/6 + 12*j. Find the second derivative of y(u) wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 6*q - 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2229889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12. Find the common denominator of ((-177)\/63)\/(-2 - -1) and ((-145)\/3 - 0)\/(-2 - m).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5884041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 342 = -4*j - 127, -5*n = 5*j - 220. Let o = n + -28. Solve -3*h + 4 = -4*q + o, -3*h = -q - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15486*o + 15516*o - 1170 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40\/91 - 2\/13. Let x = 0.6 - 0.9. What is the third smallest value in n, -0.03, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 0*h + 0*h)*(104 - 4 + 21)*(3*h**2 + 2*h**2 - h**2) as z*h**3 + m + b*h + x*h**2 and give z.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672\/8424*(-28)\/(-1190)?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6287862 divided by 14\nAnswer: 449133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - -221. Let i be -4 + 450 - (0 + 0). Let f = i - q. Calculate the lowest common multiple of f and 16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f**3 - 2*f - 1. Let v be i(-1). Let z be -1*((1 - -1) + -32). Calculate the highest common factor of z and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182 >= 3183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -17, 1\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*n**3 + 2885*n**2 + 107468*n - 2.\nAnswer: -60*n + 5770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 1 + 0*b**3 + 2*b**3 - 6*b**2 - b**3 - 2 + 0. Give f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80b7 - 66?\nAnswer: 8051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404287.\nAnswer: 13, 137, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -19. Which is the third smallest value? (a) -3 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 9.19.\nAnswer: -45.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 13*b. Suppose b = 5*d - 5, 4*m - 2875 = d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) - (-7 - 77310152\/2628). Let g = a - 29424. What is the common denominator of 29\/8 and g?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3971 divided by -4910\nAnswer: -3971\/4910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g**2 + 4. Let k(o) be the third derivative of -91*o**5\/60 - 35*o**3\/6 - 2866*o**2. Calculate 4*k(a) + 35*p(a).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1775 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/10 + 2\/(-5). Let b = f + 2. Suppose -2*y = 5*w + 10, -y + 26 = y - 4*w. Solve y*x - 4 = b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhyyyyh. What is prob of picking 1 h and 1 y?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/80313678 and -49\/102?\nAnswer: 80313678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3 + 25*u - 17 - 266*u**2 - 90 + 267*u**2 + 28*u = 0. Calculate u.\nAnswer: -55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 13. Find o, given that -3*o**3 - 7*o**2 + 4 - 3*o**3 + 3*o**3 + l*o**3 = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d + 9. Let w = 10 + d. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 4*u - u + (-4 + 4 - 2*u)*(-1 + 1 + 2) + 16 - 32 - 3*u + 11 + (3 - 2 + 0)*(-2*u + 2*u - 3*u) to c*u + o and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1. Let b(f) = -5*f - 75. Let g(o) = -b(o) - 6*q(o). Let a be g(-17). Let m(r) = -52*r + 3. Is m(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65500537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -9*f**8\/280 + f**7\/175 + 31*f**6\/300 - f**5\/50 - f**4\/15 + 169*f**2. Determine q so that d(q) = 0.\nAnswer: -1, -1\/3, 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 34 + 64)*(-1345 - 40*b + 1345).\nAnswer: 280*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 519? (a) 4\/3 (b) -0.13416 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 111?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 6. Let o = -44 - -47.61. Let t = 2.61 - o. What is the nearest to t in -0.1, y, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 + 3*v + 1. Let u(z) = 90*z**3 + 20*z**2 - 66*z - 22. Let h(t) = -44*j(t) - 2*u(t). Let k(g) = g**3 + g**2. Calculate 2*h(p) + 80*k(p).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -949*f**2 - 754*f.\nAnswer: -1898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u + 144 = 45*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + g**2 - 1. Let t(k) = -2*k**3 + 9*k**2 + 19. Let u(p) = -t(p) - 3*y(p). Determine u(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2373 - 6*j + 2*j + 2373.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47683430933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2. Let o be -1 + -6 + 0\/2. Let f = o + 10. Let n(q) = -2*q - 3 + f. Calculate y(n(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*n + 23*n - 45*n + 1810*n**2 in the form u + r*n**2 + h*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -180.5 + 181. Which is the closest to 2.1? (a) 1 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 15*w = -80*w + 46718. Calculate the remainder when w is divided by 326.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -121. Solve -d + 5 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 (base 14) in base 3?\nAnswer: -11120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94337006 to the power of 1\/2, to the nearest integer?\nAnswer: 9713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*z = -147 - 84. Solve z*n - 22 + 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1776789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5553069?\nAnswer: 3, 1851023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/41446 and 85\/1704.\nAnswer: 35311992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 50. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14883 and 14036?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -43.04. Sort -1, 0.4, s in ascending order.\nAnswer: -1, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 5*m - 19. Let n be i(-3). Suppose 0 = 127*h - 129*h + 4. Solve -2*g = n*t - 2 + 13, h*g + 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74*66\/12210)\/(2\/(-85))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than or equal to -1240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 122670?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-149)\/22 + 92\/(-506) + 7?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.19699 and 0.5.\nAnswer: 1.69699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*v - 12, -5*m + 189 = 2*v. What is the highest common factor of m and 2301?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5550358 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 55. Is (3\/3)\/(3\/(f + 2662)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at most as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 5\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 11 - 14 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242987 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 - 2*i + 6. Let f be n(6). Let t be 16\/8*45\/f. Which is smaller: t or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 31*o - 18. Let a = -6734 - -6751. Calculate t(a).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -460154*j**2 - 8*j - 110368395 wrt j.\nAnswer: -920308*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10406 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -700 - 144. Let m = 2514 + c. Suppose m + 215 = 5*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f - 30. Let w be q(15). Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 910077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -69512696 times 1\nAnswer: -69512696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (-26)\/4 + 1\/2. Let h = 16 + -14. Suppose z = -h*z - t*z. Solve z*g + 6 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g + 8. Let l be r(0). Suppose l*o - 8740 = -15*o. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 25, 4*s - 2*q - 3*q = 29 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1159035202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 649*b**2*z - b*z - 18*b - 1345 wrt b?\nAnswer: 1298*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12614 divided by 3.\nAnswer: 12614\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 3, m: 1, e: 1, o: 3, x: 2}. What is prob of sequence xnx?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3 + 3*o**2 - 2*o + 2*o**2 - 4*o**2. Suppose i + 9 = 2*q, -3*q - i + 48 = 37. What is the remainder when a(q) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209385605 - -77285605. Round u to the nearest 1000000.\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 7*b**5\/60 - b**2 + 6. Let d(w) = w**2 - 16*w. Determine h(d(v)).\nAnswer: 7*v**4 - 224*v**3 + 1792*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, -27, -2\/3, -0.0181, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + 4*u**2 + u - 4. Suppose -22*y + 27*y + 2825 = 0. Let k = y - -568. What is m(k)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 102. Let j be -4*1*(-1 - 0). Find the second derivative of -2*q**4 - 3*q**2 + j*q**l - q**2 + 2*q wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 7592354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/9, 0.2, 0.26, 1\/11, 0.\nAnswer: -2\/9, 0, 1\/11, 2\/11, 0.2, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 680 = 425. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 5. Suppose -10 = -5*b + q. What is the second derivative of -2*k**5 - 3*k + 2*k + b*k**5 wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(3))**2 - sqrt(3)) + sqrt(9)\/sqrt(3)*2 + 3.\nAnswer: sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 17*q**2 + 21*q - 25. Give u(16).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 1242708*p - 47217128.\nAnswer: -4*(p - 310639)*(p - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + -12 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j*p**4 + 31*j*p**3 + 24*j*p**2 - 31*j + p**2 wrt p.\nAnswer: 168*j*p + 186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**4*d + 645*b**3*d**2 + b*d + 19*d**2 + 40 wrt b?\nAnswer: -8*b**3*d + 1935*b**2*d**2 + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 69. Let o = c + 21. Suppose 3*m + o*m - 138 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11791*m - 18*m**2 - 11780*m - 11*m**2 + 1 as n + k*m**2 + h*m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 z when three letters picked without replacement from xuczuzu.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let k = 3.33 + 7.17. Let v = -10.3 + k. What is the nearest to 1\/3 in v, m, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-6 - (-13 + 6)) + -35.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 91, 579, 1879, 4393, 8523, 14671?\n\"Answer: 67*t**3 + 4*t**2 + 7*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*i + 3*i = -10, 0 = g - 2*i - 15. Suppose x = 4*r + 4651, g*x + 2*r - 23321 = -0*r. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + 2*z)*((-10*z - 3*z + z)*(13*z + 8*z - 9*z) + 2*z**2 - 3*z**2 + 0*z**2).\nAnswer: -290*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*d - 18*d**2 + 34*d + 50 + 1298*d**3 - 1299*d**3 to the form u*d**3 + w + t*d**2 + s*d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18940494857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzxnszhnshzsaxxn. Give prob of picking 2 x and 2 n.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1978 + -1829. Which is smaller: p or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1302122334?\nAnswer: 1302122324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -7)\/(-2) - (-10114)\/1788. Let r = k + 3\/298. Let z be ((-4)\/(-2))\/(5 - 0). Which is the third smallest value? (a) -2\/5 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3972, -2\/3, -3\/8, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 444788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 2*n + n)*(-6907 - 17*n - 8*n + 6905) + (-65*n - 22*n + 12*n)*(-2*n + n - n) to p + o*n + l*n**2 and give l.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9789*x**2 - 9789*x**2 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15036 divided by -6\nAnswer: -2506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -569*s**2 - 38701*s - 610. What is u(-68)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((8 - 7 - 5) + 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9253278 centuries?\nAnswer: 1110.39336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11702*y**3 - 11858*y**2 wrt y?\nAnswer: -70212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 1068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3057, -5701, -8345?\nAnswer: -10989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8 - 0. Solve -5 = -3*y + c*j, 2*j + 3 = -j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(sqrt(85) + (sqrt(85)*-2 - sqrt(85)) + sqrt(85))*4)\/(-4*(-1*sqrt(5) - sqrt(5)) + sqrt(5) + sqrt(45)\/sqrt(9)*-3).\nAnswer: -40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 7}. Give prob of sequence po.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 2130050?\nAnswer: -2130044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 10:26 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11644438 divided by -105?\nAnswer: 11644438\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r + 855 + 3360. Does 39 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -4. Let f(b) be the second derivative of -b**4\/12 + 3*b**3\/2 - 17*b**2\/2 - 33*b. Let g be f(4). Put y, g, -0.5 in decreasing order.\nAnswer: g, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k - 58. Let v be f(7). Solve -4*y - 2*r = -r - 16, 2*r = -v*y + 23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73953366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 7*v**2 + 9*v - 11. Let x be (72\/(-16))\/((-2)\/4). Let f be (-3)\/x - -1*25\/3. What is m(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 1}. Give prob of sequence hhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 460 - 165. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126552 is divided by 14061.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*v - 8*j - 27, 2*v = 3*j + 17. Suppose -4*a + 16 = -16. Solve -2*h + v*h = -a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000461 to 6 decimal places.\nAnswer: 0.000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.3 (b) -294 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**3 - 3*x - 2. Determine o(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 4, 5, 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**2. Let x(k) = -8*k**2 + 3*k**2 + 3*k**2. What is x(n(l))?\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 865, 1290, 1719, 2152?\nAnswer: 2589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n = 4*x - 284, -3*n + 4*x + 17 - 31 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -577, -30 in descending order.\nAnswer: -30, -84, -577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2268\/1640 - 0. Let u = -28\/41 + n. Calculate the common denominator of -97\/6 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*p + 3675*p - 2997 + 2997.\nAnswer: 4164*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w + 15. Let v(u) = -24*u + 50. Let q(s) = -7*b(s) + 2*v(s). Let k(t) = -1. Calculate -6*k(f) + q(f).\nAnswer: 8*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 28*g - 21. Determine n(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a, -3*x = -a - a - 299. Suppose x*r = 100*r + 23. Solve 3 = 5*u + r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a hour in seconds?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 262 and 0.05.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 116 + 319. Let q = d - -35. Is 20 - (4\/q - (-8)\/(-12)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3031 + 52?\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/1785861 and -137\/36.\nAnswer: 7143444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -378, -532, -652, -726?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 2. Let d be h(2). Let c = d - -7. Are c and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m + 11*m - m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2. Let p be 8\/(-10)*15\/(-6). Suppose -p*r - 4 = 0, 3*m + 2*r = 4*m - 11. Let f(j) = m + 6*j - 5 - 2. Determine f(u(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 326*v**3\/3 - v**2\/2 - 11*v - 230. What is the thousands digit of d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3608588?\nAnswer: 2, 293, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -0.05, 0.2, -1404, -11\/6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*v**3 - 294*v**3 + 167*v**3.\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*x - 2*c + 170, 5*x - 207 = c. Suppose x = -4*w - 0*w + 3*b, -2*w - 3*b - 25 = 0. Is w at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n + 184 = 106*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -12*q + 2*q + 20*q - 2*q - 266. Let k be i(34). Let l(h) = -9*h + 3. Let u(r) = 8*r - 2. Let m(c) = -6*l(c) - 7*u(c). Calculate m(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1674*g + 371620. Calculate r(222).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -15420?\nAnswer: 7710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3014, -12014, -27006, -47990?\nAnswer: -74966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.64082um to centimeters.\nAnswer: 0.003664082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13366 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - s**2 - 1. Let o(y) = -y**2 + 12*y + 14. Let b be o(13). Let l(r) = r**2 - r**2 + 6*r**2 + 4 + 6*r**3. What is b*l(f) + 4*i(f)?\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3052*y + 38. Let f be n(13). Suppose 4*r - f = 39486. What is r rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(3)*-3 - sqrt(21)*-2*-4)*-3)\/(sqrt(112) + 3*sqrt(112)*-1 + sqrt(112) + (-2*(sqrt(112) - -2*sqrt(112)) - sqrt(112))).\nAnswer: -33*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 398 + -396. Let m = 114 + -109.95. Let y = -4 + m. Which is the third smallest value? (a) q (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11524.\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 871.6 and -60.\nAnswer: -52296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3837, -5, 1, -4 in decreasing order.\nAnswer: 3837, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 greater than or equal to 666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-7)*m*(m*m**(-8)*m)\/m)\/(m*m*m**(2\/9)*m*m)**(-1\/17) assuming m is positive.\nAnswer: m**(344\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 795634.9ml?\nAnswer: 795.6349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -55?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18209, 36420, 54631, 72842, 91053?\nAnswer: 109264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8230236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 27?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72704 and 288768.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*q + 373. Let u be (2 + 3)*1 + 12. Calculate the highest common factor of u and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j. Let n(i) = 10*i + 6. Give l(n(a)).\nAnswer: -60*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26941 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 21*p - 35*p + 11*p as z*p + f and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g = -58*g - 72. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2 + x - 4. Let u be g(4). Suppose -3*b - 4*f - 12 = 0, 4*b - b + 2*f + 12 = u. Let r be (2 + b - -2)*-1. Solve r = 3*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - -1.7. Let r = 187.7 - 188. What is the nearest to p in -3\/5, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 23 + 61)*(0*h + 2*h - 3*h) as a + g*h and give g.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1518 or -314005?\nAnswer: -1518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 23*x**2 + 3*x - 39. Let s(h) = -20*h - 1. Let g be s(1). Let z = g - -29. What is the remainder when j(23) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 - a + 4. Let m(z) = -984*z**3 - 25*z**2 - z + 4. Let k(f) = -i(f) + m(f). What is the third derivative of k(b) wrt b?\nAnswer: -5898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/25*-20*(-4)\/240 + 5692\/60.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqwfqwq. What is prob of sequence qw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 322 + 10a3?\nAnswer: 13c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/((-2)\/(-22) - (-1064)\/(-1540)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 0*y - 3*y - y - 2*y + 2*y + (-y + 2*y + y)*(1 + 0 + 1) + 2*y - 2*y + 2*y - 2*y + 5*y + 2*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11 (b) 4 (c) -5 (d) 113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:33 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -j + 6*j. What is the tens digit of (-2)\/(-8) - j\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -3 + -7 + -3 + 21.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000001101100001 (base 2) to base 9.\nAnswer: 270835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-278)\/(-14) - 19) + 1\/7. Which is smaller: -32\/303 or m?\nAnswer: -32\/303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(o - o + 2*o)*(3*o - 3*o + o - 271*o - 6*o - 998*o + (-1 + 2 - 2)*(5*o - 2*o - o)).\nAnswer: -2552*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j + 12. Let g be i(9). Let y(d) = -g*d + 40*d + 46*d. Let s(o) = -2*o**2. Calculate s(y(z)).\nAnswer: -2312*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887 - 983 = -24*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*d + 3*k - 9, -2*d + 12 = -2*k. Let m be d + 1\/(-1 - 0). Sort 2, m, 0 in descending order.\nAnswer: m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1865*d + 7 = -1858*d. Solve 0 = -593*o + 594*o + d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, 0, 5 in decreasing order.\nAnswer: 5, 2, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 2. Let j(v) = -2 - 2*v + 3*v - 2*v. Let r be j(-5). Let i(y) = 2*y + y + 2 + 1. Give r*i(c) - 4*n(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -971 minus 2317?\nAnswer: -3288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-2*2)\/(sqrt(800)*-2) + (((sqrt(85) - -1*sqrt(85)) + sqrt(85) + sqrt(85))*2)\/(sqrt(40)\/sqrt(128)).\nAnswer: 161*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 94, 174, 276, 400, 546?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.526 take away 10574619?\nAnswer: -10574731.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkokokkok. What is prob of sequence kk?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 4*t**2 + 5 + 0 + 3*t**2. Suppose 2*b = 3 + 5. Calculate v(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216\/515 + 2\/103. Let k = 4 + 8. Let y = 10 - k. Which is smaller: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 209.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 171, 232, 319, 420, 523, 616, 687, 724?\n\"Answer: -2*l**3 + 25*l**2 + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5744739423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 220 + -373584?\nAnswer: -373364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) 0.21 (c) 259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Suppose -5*r + l*r + 3*n = -15, r = n + 5. Suppose r*w = -w. Which is greater: -4\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1058, 0, 7, -1, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 13. Let a be i(-9). Find the third derivative of 4*j**4 - 10*j**a + 2*j**2 - j**2 wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005845 rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 325930000 rounded to the nearest 1000000?\nAnswer: 326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -133. Calculate the smallest common multiple of f and 2.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33097508579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261886*p**2 + p - 131087*p**2 - 131090*p**2.\nAnswer: -291*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*v - 4, -75*k - 4 = 5*v - 73*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -240b5?\nAnswer: 240ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1730 + 3533\/2. What is the common denominator of -1 + 1 + 17\/(-11) and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-2)\/4*-3). Suppose b*y + 5*w - 190025 = 0, -2*w = -5*y - 0*w + 474990. Suppose -y = 4*u - 5*u. Round u to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2397\/2 + 575281\/480. Let i(n) be the third derivative of -w*n**6 - 1\/120*n**5 - 1\/96*n**4 + 0*n + 0 + 6*n**2 + 0*n**3. Suppose i(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and 315\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvv when three letters picked without replacement from wvwvvwvrvwvvwrvrvlvv?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*z + 79*z**3 - 505*z + 33*z**3.\nAnswer: 112*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.527566 years to centuries.\nAnswer: 0.04527566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 49?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -19*r + 115. Let u(n) = -21. What is -q(f) - 2*u(f)?\nAnswer: 19*f - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3354460000 rounded to the nearest 1000000?\nAnswer: 3354000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 - 4*h**4 + 3*h**3 + (0*h + 0*h - 2*h**2)*(-6*h + 6*h - 5*h**2).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*w**2 - 7 - 54*w**2 + 4 with respect to w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - -0.03419\nAnswer: -0.02581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885691491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-3 - -1 - -32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55634277 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 154. Let o(v) = -3*v + 180. Let y(q) = -7*b(q) + 6*o(q). Let z(l) = 21*l - 11. Let d be -1 + (-1)\/(1 + 0). Give d*z(k) - 11*y(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 746*j**2 - 534*j.\nAnswer: 1492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 104 = -316. Let r = o - 64. Suppose 4*s = 0, -4*i = -5*s - r - 258. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(220)\/(sqrt(90)\/(sqrt(9) - sqrt(324))))\/(sqrt(99) + sqrt(99)*-1 - sqrt(88)\/(sqrt(40)\/sqrt(5))))**2)*3.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c + 26*c + 6*c)*(3 - 3 + 1) - c - 4*c + 4*c + (-2 - 1 + 1)*(-13*c + 6*c + 6*c).\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(19)*5 + -2 + sqrt(2736))**2*-3.\nAnswer: -16500 + 306*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 - 193.9679. Round a to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -c + 3*p - 0, c - 5*p = 16. Suppose 4*j + 2*t = 4*t + c, -j - 9 = -4*t. Solve -2*q - 7 = -2*d - j*q, 5*q = 4*d - 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -334636.7 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 624 = 53*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 p when three letters picked without replacement from pggggpgugggug?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4\/4 + 1949*a**3\/4 - 35373*a**2\/4 + 64895*a\/4 - 7868 = 0.\nAnswer: -1967, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144425832 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17*o**3 - 5*o**2 - o. Let f be q(-1). Let d be (10\/(-7) + f\/(-49))\/(-10). Factor 0 - 1\/5*c - d*c**2.\nAnswer: -c*(c + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24909 divided by 1083.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 12*q = -46. Suppose -1 = 2*d + 5*p - 108, -d = 4*p - q. Is d a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-7)*(61 + -33). Put -2\/43, w, 1 in descending order.\nAnswer: w, 1, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from qwolorowqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {c: 3, g: 5, k: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = 2*d - 35, 3*l = 6. Suppose 11*m - d*m + 480 = 0. Suppose 4*v = 9*v - m. Calculate the smallest common multiple of 4 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-9)\/(18\/4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**2 - 12*h**2 + 6*h**2 as z*h + c + n*h**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 5*45\/10*(-40)\/(-15).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 45*k - 5*k - 2*k**2 + 4*k - 36 - 14*k. Let r(i) = -4*i**2 + 29*i - 37. Let w(z) = -3*j(z) + 2*r(z). Factor w(h).\nAnswer: -2*(h - 1)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(21)*-1)\/(sqrt(49)\/(-1*sqrt(7))))**2 + ((sqrt(36)\/sqrt(2) + sqrt(18))\/sqrt(2))\/(3*sqrt(9)\/sqrt(3)).\nAnswer: 2*sqrt(3)\/3 + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**3\/3 - 2*z**2 + 2*z + 10. What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyhryrhy. Give prob of sequence ry.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 5*b**2 + b + 1. Let p be o(-5). Let n(x) = -212*x + 103*x + 107*x - 3. Let k be n(p). Solve -5*h + k = -2*h + 4*i, 0 = -4*h - 2*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111210110 (base 3) to base 11.\nAnswer: -7612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 12*v - 55. Solve v*b - 12 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 267\/21 + (-6)\/(-21). Suppose -2*o + 1 = -h. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -53*a**4\/4 - a**3 + 62*a**2 + 540. What is the second derivative of v(x) wrt x?\nAnswer: -318*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198789 and 182160.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 58. Suppose 2*d - s + 3*s - o = 0, 2*s - 6 = 0. Calculate the highest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 221. Let p be i(0). Let d = 432 + p. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/9 in 2\/97, 3, -9\/19, 0.5, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*n = -8030 - 39315. Calculate the remainder when n is divided by 146.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 32\/(-28)*(-1449)\/46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151721624 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d. Let h be 2\/(-2) + 0 + -1. Let z be (-3)\/h*146\/3. Let b(i) = 73 - z - 2*i**2. Give b(a(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4557893029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfttgtttttttmf. Give prob of picking 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/120 + c**5\/6 + c**4\/24 + c**3\/6 + 8*c**2. What is the least common multiple of 1 and s(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 - 30*c = 0. Calculate c.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/2 - 17*d**4\/2 + 71*d**3\/2 - 55*d**2\/2 = 0. What is d?\nAnswer: 0, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dddddddddzzzdzdddzdd.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0243548183 to six dps.\nAnswer: 0.024355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19599.364 - -36823110.636. Let i = 36842697.9999995 - d. Let b = 12 + i. Round b to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8126, 7845, 7566, 7289, 7014?\n\"Answer: n**2 - 284*n + 8409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/(1\/(-6)). Let a(u) = u**3 + u**2 - 2*u + 3. Let m be a(2). Let c = t - m. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 6210?\nAnswer: -6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78606349429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163418*d**3 + d**2 - 846*d + 10 wrt d.\nAnswer: 980508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 525*h**3 + 18377*h**2 + 64*h - 243. Calculate a(-35).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1)*(-11 - -16 - 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 - 9)*(-48 - -1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228*c + 752*c - 1707*c + 93869 = 0 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10798382.\nAnswer: 2, 7, 29, 26597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405)*-3 - ((sqrt(25)\/sqrt(5) + -4)*6)**2)*1.\nAnswer: -759 + 261*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 11. What is k(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1119b6 (base 12) to base 13\nAnswer: 971a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17235345, 17235183, 17235033, 17234901, 17234793, 17234715?\n\"Answer: g**3 - 169*g + 17235513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = -4*l, 4 = -3*l - u - 0. Which is the nearest to -3? (a) -2\/9 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -7*d**5\/30 - 3*d**2. Let t(c) = -2*c. Give j(t(i)).\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2260 divided by -565\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30310*a + 30287*a = -713 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*sqrt(209))\/(4*sqrt(176)).\nAnswer: -5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2453089, -2453100, -2453119, -2453146, -2453181, -2453224?\n\"Answer: -4*u**2 + u - 2453086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-54) + 10 - 4\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 6. Let t be k(-9). Solve -x + 1 = -5*f, t*f + 3*x = 4*x + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -20*u**2 + 5\/3*u**3 + 1\/120*u**6 - 1\/15*u**5 + 0 + 0*u - 7\/24*u**4. Suppose v(f) = 0. What is f?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 136. Let n = k - 80. Solve 0 = -n*w + 2*i - 7 - 8, 2*w - 4*i = -22 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - 2*d**2)*((-d + 0*d + 2*d)*(6*d**2 - 2*d**2 - 2*d**2) - 36*d + 23*d**3 + 36*d - 1).\nAnswer: -50*d**5 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6268501230.\nAnswer: 2, 3, 5, 208950041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9381479\/21 or 446737?\nAnswer: 446737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(1900)) + sqrt(1900))**2 + -1.\nAnswer: 120*sqrt(19) + 7608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.2547*-0.4.\nAnswer: 6.10188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*j - 4*z + 8, -5*j - 27 = z. Let t be -7 - j - (-4 + -1). Put 1, -2, t in descending order.\nAnswer: t, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 51 + 44. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2477*m**2*r**3 - 7*m**2*r**2 - 4*m**2*r + 50*m**2 + 2*m*r + 30*r**2 - 2*r wrt r?\nAnswer: -14862*m**2*r - 14*m**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 + -110. Suppose 3375 = -v*n + 11565. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 4*u + 4. Let g be x(-4). Suppose -z - 4 = 0, -g*w - z - 2*z = 0. Suppose 5*y - 108 = w*y. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2) + ((sqrt(8)\/sqrt(4))**2 - sqrt(2)) + -4 - sqrt(2)).\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 168284.42 - -797.34\nAnswer: 169081.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + 4*c - 3. Let y(i) = 9*i**2 + 8*i - 5. Let o(z) = -7*l(z) + 3*y(z). Let p be o(0). Which is smaller: 7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:57 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 5*b, -73*r = -77*r - b + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 121*s + 15775. What is g(-132)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avr when three letters picked without replacement from vamvmrv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 1039841\nAnswer: 1039841.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v - v)*(8 - 35 - 5).\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 + 2*j**2 + 5*j**3 - 16*j**2.\nAnswer: 5*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36702, -72590, -108478, -144366?\nAnswer: -180254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 296253851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3))**(-16)\/(d**(-7)*d*d**1) assuming d is positive.\nAnswer: d**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4401 (base 5) to base 11\nAnswer: 4a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2 (c) -0.6 (d) 0.5 (e) -223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5 + 242977*b**4 + 850438*b**3 + 728952*b**2 = 0?\nAnswer: -2, -3\/2, 0, 121492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 8 = 4*c + d, -4*c + 3*d = 0. Solve 5*l = 3*a - 22, -c*l - 7*a + 14 = -2*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 - (9 + -2). Let u = 75 - 68. Suppose -u*c = 3*c + 190. Sort c, 0, f.\nAnswer: c, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 2250*c**3 + 92649*c**2 + 192052*c + 97152.\nAnswer: (c - 2208)*(c - 44)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p*t**3*u + 138981*p*u**2 - 13129*t**3*u**2 + 98*u**2 wrt p?\nAnswer: t**3*u + 138981*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 47 (c) -2\/9 (d) -348 (e) -4\/5 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3 - 3)*(0 - 2*o + 0) + 95*o**2 - 94*o**2 + o + 3 - 2.\nAnswer: 3*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -430 + 1343. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1013 + -1041. Let q = r - 7. Put 5, 1\/6, q in descending order.\nAnswer: 5, 1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4807 is divided by 83.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -73050, -146117, -219196, -292293, -365414, -438565, -511752?\n\"Answer: -c**3 - 73060*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by -67.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 4*y**2 - 6*y - 6. Let q be (-7 + 2\/(-2))*(33\/3)\/22. What is t(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*j + 700 = -4167 + 1003. What is the lowest common multiple of 30 and j?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/3)\/r**(1\/6)*r**(-6)*r*r**2 assuming r is positive.\nAnswer: r**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897219645 to the nearest integer?\nAnswer: 29954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 1:40 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 4*z**2 + 4*z**2)*((0 + 0 + z)*(2 - 11 - 4) - 2*z + 7*z - 3*z)*(3 - 5 + 0).\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b\/((b\/b**(-1))\/b)))\/b*b))**(6\/25))**21*b\/(b**(-5)\/b)*b\/(b*b**(2\/9))*(b\/(b*b\/b**(-2)))**37 assuming b is positive.\nAnswer: b**(-938\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -1. Let f = 65 + -44. Let u = f - 17. Which is the third smallest value? (a) 2 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -198964, 2\/53 in increasing order.\nAnswer: -198964, -2, 2\/53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - 0)\/(81\/54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 776 and 56.\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/7)*u)**23\/(u\/u**0*u\/u**1) assuming u is positive.\nAnswer: u**(361\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3313, -6570, -9825, -13078, -16329, -19578, -22825?\n\"Answer: p**2 - 3260*p - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -484 + 487.9955. Let z = k - 4. Round z to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13*v**2 - 15*v + 11. Let n(g) = -2*g**2 + 11*g - 9. Let q(y) = 4*y**2 - 32*y + 26. Let u(d) = 11*n(d) + 4*q(d). Calculate 4*j(i) - 9*u(i).\nAnswer: 2*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1216)*-1)**2 + sqrt(1216) + 5 + sqrt(1216)*-2 + sqrt(1216).\nAnswer: -32*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 52074?\nAnswer: 260370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7688 and 20?\nAnswer: 38440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475*u + 478*u = 501. What is the remainder when u is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1868, 3748, 5630, 7514?\n\"Answer: c**2 + 1877*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164777.\nAnswer: 53, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 81 = -3*y + 2*y, 3*y = -3*t + 213. Let k = -55 + y. Calculate the remainder when 65 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -13*a + 9*a. Calculate the highest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 7*s**2 - 11*s + 16. Suppose -5*y = i - 3*i - 48, i = -5*y + 36. Give u(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 165, 172, 183, 198?\n\"Answer: 2*b**2 + b + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 92.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i**2 - 4684*i + 11768. Give l(-588).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w - 2*w)*(4 - 1 - w**2 + 11*w**2).\nAnswer: -50*w**3 - 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 0 (c) 4\/7 (d) -854 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 145790, 291633, 437476, 583319, 729162?\n\"Answer: 145843*t - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3557 - -2275. Round w to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*h - 150, -22 = 4*s - 3*h + 195. What is the units digit of 4 - (s\/(-65))\/((-1)\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 + 5*i**4\/12 + 5*i**3\/6 - i**2. What is the units digit of t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) + (-64)\/(-12). Suppose -o = -24*b + 21*b. Suppose 2*s - 192 = 2*u, -4*u = 5*s - b*s - 288. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-2\/5)*g*g)**0)**(-32))**6)**(-40) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**7\/2520 - g**6\/720 + g**4\/12 + 3*g**2. Let c(j) be the second derivative of n(j). What is c(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54399 is divided by 309?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389102 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-5))\/w*w**2*w)\/(w*w*(((w*w*w\/(w**(1\/3)*w))\/w)\/w*w)\/w)**40*(w\/(w\/w**6*w))\/w**(-1)*(w\/w**(-2)*w*w*w)**41 assuming w is positive.\nAnswer: w**(583\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 11*q**2 + 3*q - 8. Determine m(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3 (c) -4 (d) -0.1 (e) -84\/43 (f) 3\/62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 415 - 395 - (2 - -79).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/129 - 268\/645. Which is the smallest value? (a) 2 (b) 0.6 (c) 2\/17 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:01 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200246015, 400492034, 600738053, 800984072?\nAnswer: 1001230091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*z**2 + z - 3*z + 221*z**2.\nAnswer: 34*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8654)\/(-5))\/(3\/780). Suppose -4*x - 5*a - 165341 = 194639, -2*a + l = -5*x. Round x to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let t be -1*((-1 - 1) + (-20)\/(-2)). Calculate u(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 b, and 1 p when four letters picked without replacement from {b: 3, r: 4, h: 5, a: 1, p: 1}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, 7, -0.3.\nAnswer: -0.3, 0.2, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + y**2 + 2. What is u(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 8610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/2 + 11*t**2 - 15*t\/2 - 900 = 0.\nAnswer: -15, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -232*d**3 + 2*d**2 + 2*d + 1. Calculate a(-1).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 35489 + 3455 = 0. Let v = 2422 - k. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-7)*(-14)\/(-4). Let w(x) = -x**3 + 5*x**2 + x - 4. Let g be w(r). Solve -5*b + g - 2 = -4*n, -n - 5*b = 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43801, 88045, 132289, 176533, 220777?\nAnswer: 265021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30401 (base 8) to base 10.\nAnswer: -12545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4195? (a) 1\/3 (b) 5 (c) 2\/5 (d) -0.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 6. Let t(v) = -v**4 - 6*v**3 - 3316*v + 11545. Let q(k) = 3*n(k) + t(k). Find the first derivative of q(w) wrt w.\nAnswer: -4*w**3 - 3316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z - 2*z)*(26 + 15 - 3)*(2*z**2 - 2*z**2 + 2*z**2)*(3 + 1 - 5 + (1 + 1 - 3)*(2 - 2 - 1) + 0 + 2 - 4 + 4 + 1 - 6).\nAnswer: 456*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 15*l**2 + 18*l + 3. Let n be (12\/30)\/(1\/35). Is t(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16605, -33287, -49969, -66651?\n\"Answer: -16682*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3))**(11\/2)*d**(1\/8)\/(d\/(d\/d**(4\/9))) assuming d is positive.\nAnswer: d**(-1211\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 22 = -4*c + 6, -2*c - 14 = -h. Solve 0 = -4*f, 9*f - 6*f - 20 = h*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 - z**2 + 3*z - 1. Give m(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j*j**(-4\/5))\/j**(-7))**(1\/78))**(1\/12) assuming j is positive.\nAnswer: j**(23\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13795 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 7*l**2 + 30*l + 146. Let z be f(-6). Solve z*c + 8 = 0, -4*c - 10 - 22 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-22650.\nAnswer: 90600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 205 (b) 15 (c) -3 (d) 2\/13 (e) -21 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 3, y: 2}. What is prob of sequence nyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose 5*h + a*x = 4*h + 11, -5*x + 4 = -2*h. Let u be (-1 + h)*(2 + 1). Solve 5*f = -g - 0 + 4, f - u = 5*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 166 + -111400?\nAnswer: -111223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - -280)*(-6)\/7. Let p = i - -1725\/7. Let j = 5 - 4.7. Which is the second smallest value? (a) p (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214434 by 297.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 8 in decreasing order.\nAnswer: 8, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4212 (base 9) to base 8\nAnswer: 6021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*i + 5*i - 5, -4*n + 2*i - 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -65 + 45. Suppose 145 = l*g - 60. Let d = g - 25. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164\/51 - 10\/3. Let h be 12\/(-50)*20\/(-8). Let k = -0.2 - -0.6. What is the closest to 0 in h, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d - 4*o, -2*d + o = 2*o + 3. Suppose d = -2*l + l. What is the second smallest value in l, -7\/2, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71012 + -991341.47?\nAnswer: -920329.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5335 and 9603?\nAnswer: 48015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*w - 2*f, 3*w - f + 2*f + 20 = 0. Let p(b) = 9*b**2 + 4*b + 6. Is p(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, f: 1, l: 10, u: 1}. Give prob of picking 1 f, 1 l, and 2 d.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q - 176. Let u be w(45). Sort u, -3, 104 in increasing order.\nAnswer: -3, u, 104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-51)\/(-2) - (-13)\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 10*n - 9. Let y be b(-11). Let u(z) = -628 + 628 + z**y. Let j(l) = l. Calculate u(j(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -96, -72, -30, 30?\n\"Answer: 9*i**2 - 3*i - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 2\/3, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/25819 and -61\/309.\nAnswer: 7978071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 2043 = 723. Calculate the highest common divisor of d and 576.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.32 - 0.12. Let r = x - 0.2. Let o = 2182 + -2181.5. Put o, 0, r in increasing order.\nAnswer: 0, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 9 + (-8 - 14) + 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -593*b - 736.\nAnswer: -593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from {n: 7, r: 2, s: 5}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-28)*(-1)\/2. Solve 3*b + 5 = 5*a, -2*b + 4*a - a - 2 = t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8840?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 1. Let b be t(15). Let y = 31 - b. Suppose 4*z = 1 + y. Solve k = 3*k + z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33772.2936 to the nearest integer.\nAnswer: -33772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2656 = 10*n - 8*n. Suppose p + 5551 = 3*b, b + 5*p = 501 + n. Is b a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2248 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**3 - 46*x**3 - 36*x**3)*(5 - 3 - 6*x**2 - 2*x + 5*x**2).\nAnswer: 97*x**5 + 194*x**4 - 194*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 2 (b) -10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 25. Let c = p + 28. What is the remainder when c is divided by (-1)\/(-1 + (-28)\/(-30))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 9. Let i be d + -2 + 7 + -1. Find m, given that -2\/7*m**i + 4\/7*m**2 + 0 - 2\/7*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26529, -173317, -571743, -1347627, -2626789, -4535049, -7198227, -10742143?\nAnswer: -15292617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 27*r**2 + 32*r - 58. What is m(26)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196099 and 1465582.\nAnswer: 27846058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjzfjjzfjz. Give prob of sequence zf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*s + 121, 2*s - 547 = -4*i + 7*s. Let j = i - -15. Suppose 2*b + 5*c - 91 = -17, -2*c - j = -4*b. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 2*w**2 + 12*w - 21. Let h be x(2). Suppose 0 = -5*b + 4*y + 2, -y = 2*b - 5 - 1. Let n(v) = 0 - b - v - 2. Determine n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -60. Suppose 2*g = 3*g + k. Let b = g + 37. Solve -5*n - b = 3*u, -3*n + 5*u - 11 - 1 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 145068*h + 75 = 145066*h, -115 = -5*p + 2*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - h - 45, -5*g - 4*h = -31 - 39. Solve -2*d = 3*i + g - 23, -2*i = 2*d - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 9*y + 6)*((3*y - y - 3*y)*(-5*y**2 + 4*y**2 - y**2) - 264*y**3 - 90 + 90) as r*y**2 + v*y + t + w*y**3 + h*y**4 and give h.\nAnswer: 2358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 247178680 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593637 is divided by 222?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 86 = 4*f. Suppose 0 = 3*j + 15 - f. What is the smallest common multiple of j and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*-2*sqrt(117))\/(sqrt(576) - (sqrt(576) - sqrt(576)*2 - sqrt(576))) - (3 + (sqrt(208) - -2*sqrt(208))**2*5 + sqrt(208))).\nAnswer: -9362 - 25*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3 - 6*q - 2*q**5 - 7*q**5 + 3 + 12*q**5 - 2*q**5 wrt q?\nAnswer: 20*q**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2 and -71\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272, 267, 262, 257, 252, 247?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-7))\/(l*(l\/l**(-1))\/l)*((l*l**(3\/8)*l)\/l)\/(l\/l**(-5)*l))**(-13\/7))**(-33) assuming l is positive.\nAnswer: l**(-43329\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 170 = 121 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5229913459 to the power of 1\/3, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14175421547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 4343?\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22221022002 (base 3) to base 7\nAnswer: 1331564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-11) + -2 - (-252)\/66. Suppose -h + 539 = 3*o, -4*o + x*h = -h - 725. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320828987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, v: 4, t: 4, n: 3}. What is prob of picking 1 t and 2 n?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*(0 + sqrt(7)))**2 + sqrt(7)) - (-5 + (sqrt(448)*-1)**2).\nAnswer: -527 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -3464634?\nAnswer: 3464640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 + 635. List the prime factors of m.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from jxwtmxmxjjjjxjx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*v + 173*v + 6660 = 0. What is the nearest to v in 1, -3\/5, 5\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -28. Let g(c) = -7*c. Calculate the remainder when y is divided by g(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z + 86*z = -5*c + 13, 3*z - 5*c + 21 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 6:41 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**6\/6 - 2*r**3\/3 + 8. What is the third derivative of s(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2724*n = 832*n + 55672 + 147020 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 856117 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9394.83011 rounded to 0 dps?\nAnswer: 9395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**3 - 2*g + 1. What is the remainder when 11 is divided by v(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134\/3 + 45. What is the nearest to c in 1\/4, 1, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100219488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 2. Let d(u) = u - 6. Let w be d(0). Let s be (-14)\/35*(1 + w). Let l be b(s). Solve l = -5*o - i + 2*i + 16, 16 = 4*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18670 is divided by 138?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 561 + 383 = 0. Let d(r) = -r + 69. Let t be d(9). Let o = p - t. What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1 + 1 - 4 + 1 + 0 + 2 - 1 + (-1 + 2 + 1)*(3 + 1 - 2))*(-51*p + 19*p - 23*p)*(-124 + 70 - 34) as i + a*p and give a.\nAnswer: 19360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11250 times -771.86?\nAnswer: -8683425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 3:13 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (4 + (0 - 19) + 8) - -13\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 0.4, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32108 times -619?\nAnswer: 19874852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(4 - 1 - 4)*(66*d - 37 + 20 + 15).\nAnswer: 66*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)*h*h**(-2\/5))**(1\/2)\/((h*h\/((h*h**6)\/h))\/h*h*h**(2\/7)*(h*(h\/(h*h**6))\/h*h)\/((h\/(h\/h**(-1\/6)))\/h)) assuming h is positive.\nAnswer: h**(6697\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Let y = w - 2. Suppose 2*h = 4*z + 6, -3*z - 7 = -h + z. What is the closest to h in -2, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 12:16 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4 - 4*q + q + q. Let s = 13 - 3. What is the remainder when x(-7) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**8\/2184 - h**7\/1365 - 6*h**2. Factor p(j).\nAnswer: -2*j**4*(j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 40, 44, 48, 52, 56?\n\"Answer: 4*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*r - 27*r - 310 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 36. Solve -6*l = -5*l - o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/9, 5, -2\/101, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 2:05 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - 110ae?\nAnswer: -110c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 8*p + 9. What is a(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjk when three letters picked without replacement from {k: 1, s: 1, j: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - j + j)*(13 - 3 + 15) to the form n + c*j + b*j**2 and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12122\/21 or 577?\nAnswer: 12122\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 13*q + 7. Suppose -154 = 8*w - 258. Calculate x(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283076764?\nAnswer: 2, 19, 16882589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1216009)\/1 + (-4 - -1). Let l be 3\/(-4) - m\/16. What is l rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 5387 - 5450. Let g(z) = -4*z**2 + 3. Let s(a) = 6*a**2 - 4. What is m*g(f) + 5*s(f)?\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-1)\/2)\/1. Let g be (d + 0)*20\/(-4). What is the third derivative of 2*z**2 + 0*z**5 - 3*z**5 + 0*z**g + z**2 wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.426 - 35.226. Let c = n - -34.799971. What is c rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5\/5 - 1288*r**4\/5 - 216138*r**3\/5 - 11050948*r**2\/5 - 21247616*r\/5 = 0.\nAnswer: -416, -113, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 22*t**2 - 10. Suppose -14 = c - 2*z - 0, 3 = -3*z. Let q(j) = 7*j**2 - 3. Determine c*q(i) + 5*r(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*l**2 - 33 + 64 - 31 to the form w*l**2 + z + p*l and give w.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 14*q - 22. Calculate h(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -184*n**3 - 39*n**2 - 198*n + 6. What is the hundreds digit of b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*m + 112*m + 3*u = 11049, -2*m + 4*u + 11070 = 0. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q*q**(-1\/7))\/(q\/(q*q\/(q\/q**(2\/13))*q)*q**1) assuming q is positive.\nAnswer: q**(1\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 3 - t - 7 - t. Let n(o) = 2*o + 5. Let s = 28 + -32. Determine s*j(a) - 3*n(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -82.4. Let g = 0.2252 - 0.2252. What is the third smallest value in 4, -10, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*u**3 - 309*u**3 - 501*u**3)*(-3 + 4 - 3 + 0 + 4 - 6 + (5 - 4 + 3)*(0 + 1 - 2))*(-u + 2 - 2*u + 4*u).\nAnswer: 7184*u**4 + 14368*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*x + 52 = -86*x. What is the remainder when 69 is divided by -6 + -2 + 5 - x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1510621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 + -1.2. Let u = y - 1. Which is the second biggest value? (a) -0.2 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hssayfz. What is prob of sequence hy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2414?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -293*l. Let f(m) = -247263*m. Determine k(f(u)).\nAnswer: 72448059*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 0*o**2 + o**3 - 1\/5*o**5 + 1 + 0*o**4 + 0*o. What is the third derivative of q(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (4 - 2) - (-365 - (-509 - -8)).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 301*i**2 - 4. Let d(p) = 904*p**2 - 11. What is 4*d(z) - 11*q(z)?\nAnswer: 305*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.19, -1\/3, 3\/67, -0.04, 1?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 - 88 - (12 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) - sqrt(11)) + 3 + 4*(sqrt(11) + 0) - (sqrt(44)\/(-4*sqrt(4)) + (sqrt(110) + 3*sqrt(110) - sqrt(110))\/sqrt(10)))*-2)**2*-6.\nAnswer: -28185\/2 - 1044*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkeokkkoeooobobeek. What is prob of picking 1 o and 2 k?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 11*s**2 + 11*s + 8. Let u = 32 + -22. What is the tens digit of p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 784 - 782. Let g(x) = -5*x**3. Let i(p) = -3*p**3. Calculate n*g(w) - 5*i(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 19840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -13. Suppose -4*f + 2*c - 28 = z, -25 = 5*f + c + 3. Let m be (8\/(-6))\/(4\/f). What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18857726 to the power of 1\/2, to the nearest integer?\nAnswer: 4343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 2*u + 2. Let l(a) = -23 - 29 + 4*a + 4*a**2 - 54 + 103. Determine 2*l(s) + 5*w(s).\nAnswer: -2*s**2 - 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8978.1 - 8976. Which is the closest to -8? (a) l (b) -1\/5 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - o)*((2*o**3 + 15*o**3 + o**3)*(5 - 1 - 3) + (o**2 + o - o)*(-2*o - o + 4*o)) to the form x + q*o**2 + b*o + p*o**3 + l*o**4 and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4109165 + -0.0015\nAnswer: 4109164.9985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021516 rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.26339.\nAnswer: 1.31695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 5. Let l = 299 + -292. Calculate k(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2. Let k(b) = 3*b - 99. Calculate k(m(w)).\nAnswer: -15*w**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8800 + -3519. Suppose -x - 6261 = -2*t. Let p = t - 371. Round p to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-b**4 + 0*b**3 + 0*b**3) - 5*b**4 + 6*b**4 - 395*b + 392*b + 2*b**3 as r + v*b**4 + h*b**2 + o*b + w*b**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7084 and 1103333?\nAnswer: 4413332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2240)\/(-40))\/(-952)*5\/15?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.88 - 12. Let b = g + -6.88. Let l = b + 16. What is the third smallest value in l, 1\/4, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.4, -1\/2, 391264, -2\/3, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/39 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*w**5 - 1628*w**4 + 44388*w**3 - 411156*w**2 + 157464*w = 0. Calculate w.\nAnswer: 0, 2\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.465957mg to kilograms.\nAnswer: 0.000001465957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 16048\/(-12))*-96. What is k rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*w**2 - 3)*(2*w - 2*w - 2*w**2) + 0*w**2 + 2*w**4 + 0*w**2 + 0 + w**4 + 0.\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 0*d - 18*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22808.9 - -22809. Let p = -1 + 2. What is the closest to p in s, -4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*-2) + sqrt(288)*3.\nAnswer: 71*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -4, 0, 2, 6, 1, 740 in descending order.\nAnswer: 740, 6, 2, 1, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 1\/24*m**4 + 0*m + 0 + 7*m**2 + 1\/6*m**3. Let s(r) be the first derivative of -3*r**2\/2 + 1. Give -n(x) - s(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2114 + -0.92844. Let l = 1.14 + r. What is l rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-6))\/(4\/(-138)). Let v = -83 + u. List the prime factors of v\/8 - (-7)\/28.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/185 - (1 - 16\/10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -34 - (3 + 1 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2715 + 1233. Let b = k - 393. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -5875789.\nAnswer: -2350315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.797*-0.005.\nAnswer: 0.003985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -1.2. Let t = -27531 - -27532. Which is the nearest to t? (a) q (b) -9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2 - 13*v - 330. Let b(f) = 4*f**2 - 9*f - 235. Let i(h) = 17*b(h) - 12*r(h). Let k(l) = l**2 - l + 1. Determine i(c) + 3*k(c).\nAnswer: -c**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-2)\/(-26))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65\/187 + 9\/17. Suppose 768 = -10*s + 288. Let l be (-8)\/(-16)*s\/(-30). Sort l, 1, f.\nAnswer: f, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(72)*2 + sqrt(72) + sqrt(72))**2 + 2 - (sqrt(8) + 0 + ((-2 + sqrt(128) + sqrt(128) + sqrt(128))**2 - sqrt(128) - sqrt(2))).\nAnswer: 3 + 103*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1494?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -749?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y + 38. Calculate the remainder when 109 is divided by w(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 12) in base 9?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/2 - f**3 + 4*f + 22. Let b(w) = w**3 + w**2 - 1. Determine 3*b(l) + q(l).\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*k - 211*k + 208, 3*k = g + g - 154 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((3 - 4) + -2 + 4). Suppose -w*q - m = -64, q - 126 = -3*q - 3*m. Calculate the remainder when 261 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3189*s - 1. Let i(r) = 1251*r. Determine u(i(z)).\nAnswer: 3989439*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -160, -315, -504, -727?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1053*t**3 + 2*t**2 + 790*t - 7. Let u(z) = 526*z**3 + z**2 + 396*z - 4. Let y(k) = 4*c(k) - 7*u(k). What is the third derivative of y(g) wrt g?\nAnswer: 3180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53496023 by 340739.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4404203 + -436?\nAnswer: -4404642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00747 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 + (6 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*n - u, n - 3*u = 5*n - 5. Let d be n\/4 + (-11)\/2. Let j(l) = 0*l - l - 9 + 0*l. What is j(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9555 is divided by 895.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*w + 24*w = 2*w + 608 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(-1\/3)\/t)\/t))\/t*t*t\/(((t\/((t\/(t**(-1\/3)*t))\/t)*t)\/t)\/t)*t*t**(2\/13)*t*t*t**2*t)**14 assuming t is positive.\nAnswer: t**(5362\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1782) - (-5*(sqrt(1782) - (sqrt(1782)*-3 - sqrt(1782))) - sqrt(1782)))\/((-1*(sqrt(66) + sqrt(66)*-1 + sqrt(66)))\/sqrt(6)).\nAnswer: -243*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.80125 micrometers in meters?\nAnswer: 0.00007980125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382596.\nAnswer: 2, 3, 31883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -35. Suppose 3*u + 4*z = 3 + 15, -z = 2*u - 17. Calculate the remainder when q is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 32122167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**4\/2 - i**2 - 2*i - 15. Determine f(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 128*b**7\/21 - b**6\/30 - b**4\/4 + 5*b**2\/2 + 37*b. What is the third derivative of n(q) wrt q?\nAnswer: 15360*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5322?\nAnswer: -1\/5322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -35*p. Let k(o) = 5*o**2 + 292*o - 147*o - 145*o. Give k(y(c)).\nAnswer: 6125*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtmm when four letters picked without replacement from {t: 3, m: 11}.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 114669.1 to the nearest one thousand.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2997046 is divided by 1831?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-20)\/(-32))\/((-315)\/12).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-19)\/(-456)*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 197588123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*w - 36 = -w, 0 = 5*w. Let t = x - -20. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/6)\/o)\/(o*o\/o**(-9)))**(-1\/18)*(o**(4\/7)\/(o\/(o**(-4)\/o)))\/(o\/(o\/(((o*o**(-2)*o*o)\/o)\/o*o))*o*o)**44 assuming o is positive.\nAnswer: o**(-70121\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.01 = 380\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249 - 16761 = -571*s + 6307 + 1236 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 2. Let c = -5 - -8. Suppose c*j - 44 = -5. Suppose -3*i - 27 = -4*q, q - 3*i = -i + j. Determine b(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*v**2 + 1 + 9 - 8 to x*v + y + i*v**2 and give i.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + 1 - (43 + -41))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129\/(-86) - (2 - 19546\/(-4))\/(-3) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*g + 2*x + 2, 0 = g - 4*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 10*i**2 + 15*i + 11. Let a(n) = 6*n**2 + 8*n + 6. Let o(k) = -11*a(k) + 6*v(k). Let d(x) = 2*x. Give o(d(r)).\nAnswer: -24*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-29)\/(-812)*(-35)\/(-1))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -521.464 or 16\/7?\nAnswer: -521.464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8890*s - 1539*s + 2508*s + 2297*s + s + 4*s - 4*s + (-s - 1 + 1)*(-3 + 1 + 4).\nAnswer: 12155*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14214 and 3708.\nAnswer: 85284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1388, -2765, -4140, -5513, -6884, -8253, -9620?\nAnswer: -10985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2 + (-124)\/62. Find v, given that -x*v**4 + 1\/2*v**5 + 0 + 1\/2*v**2 - 1\/2*v**3 + 0*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222221 (base 3) to base 12.\nAnswer: -a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303003001 (base 5) to base 9.\nAnswer: 2257284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 313 + 313 + 2*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3010232302 (base 4) to base 8.\nAnswer: 3045662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 4*z + 3. Let d(u) = u**2 - 2*u + 3. Let y be d(2). Let g be b(y). Is (g\/(-6))\/(1\/(-12)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 41236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.34, 2\/23, -0.4, -1\/7 in descending order.\nAnswer: 1.34, 2\/23, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405 - 405 + 1304 + b + 52*b**3 - 494.\nAnswer: 52*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 7:43 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - 228016*l**3 + 7*l**2 + 228401*l**3.\nAnswer: 385*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 31*i + 174. Let a be t(7). Solve -29 = 3*k + 4*j, -5*k = a*j - 2*j + 35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 797 = -2*b + 805. Suppose -v + l = -18, -3*l - 38 = -3*v + b*l. Calculate the remainder when 57 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.06 - -0.06. Let j = -5 - -2. Which is the third smallest value? (a) j (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 50*p**4\/21 - 640*p**3\/7 + 27632*p**2\/21 - 58880*p\/7 + 423200\/21 = 0?\nAnswer: 46\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -1.3. Let m = -410.3 - -410. What is the nearest to -1 in u, 0.6, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 4*o, -5*o = -5*t - 10*o + 25. Suppose -4*z - 67 = -3*c + 4*c, -2*z - t*c = 44. Suppose 4*u + 66 = 6. Is u > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56.5 + -56. Sort 0, -17, o in increasing order.\nAnswer: -17, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 70362\/209, 3\/2, 6 in decreasing order.\nAnswer: 70362\/209, 6, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12854865, 51419479, 115693837, 205677939, 321371785, 462775375, 629888709?\n\"Answer: 12854872*z**2 - 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 93\/((-12)\/(-16)*2). List the prime factors of q + (0 - 3\/1).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s. Let i(d) = d + 1. Let a(k) = 6*k + 5. Let o be 3 - (-1)\/((-1)\/4). Let q(n) = o*a(n) + 5*i(n). Give q(w(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 2628, 6114, 10988, 17244, 24876, 33878, 44244?\nAnswer: 55968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**8*t**(-1))\/(((t**(-13)\/t)\/t)\/(t\/(t\/t**(12\/7)*t*t))))**20 assuming t is positive.\nAnswer: t**(940\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2*((-60)\/(-8))\/(-5)). Let d = -4.99 + -0.01. Which is the biggest value? (a) h (b) d (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 3*c**2 + 4*c + 3. Let b be n(4). Suppose b*y + y - 8 = -5*p, 3*p - 3 = -3*y. Suppose -p*u + 86 = -126. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*124\/8 - (-4)\/8. Let r = o - -155. Calculate the greatest common factor of 40 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14967 * -0.03724.\nAnswer: 0.0055737108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 154\/56 + 2\/8. What is the closest to k in -1, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/16 and 137\/138.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/19 - 137\/380. Which is the third smallest value? (a) 1 (b) -1 (c) f (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + -3)**2 + -1*sqrt(7) + -5 - ((-1 + sqrt(343) - sqrt(343))**2 + sqrt(7) + -3).\nAnswer: -8*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x + 2. Suppose 69 = 6*l - 15. Let t(i) = -15*i**3 - 4*i**2 - i**2 - 6*i + l*i**3 + 150 - 156. Give t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 3*w**2 + 2*w**2 + (-w + w + w**2)*(3 + 7 - 3) + (0*w + 0*w + 3*w)*(25*w - 23*w - 61*w).\nAnswer: -169*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000142686 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bld when three letters picked without replacement from {b: 4, d: 2, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 18*x**2 + 3*x - 13. What are the prime factors of n(-5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 5663.6.\nAnswer: 107608.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185604 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -0.67. Let h = -1.07 + v. Let f = 1 - 1.3. Which is the third biggest value? (a) f (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 396243595?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 + 9*l. Let u(t) = -2*t + 2. Let c be u(-2). Let j be g(c). Is 9 a factor of j\/4*24\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14174930, -14174959, -14174988, -14175017, -14175046, -14175075?\n\"Answer: -29*k - 14174901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/4)\/((y*y**(-1\/6)*y)\/y*y)*y**14*y*y\/y**(-43) assuming y is positive.\nAnswer: y**(689\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 8 - 8)*(j - 3*j - j)*(2 - 4 + 0).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/10)\/((3 - 7)\/(-20)). What is the second smallest value in 2\/19, j, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - -0.8. Let t = -28.8 - -23. Let w = t - -1.8. What is the third smallest value in w, -2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -46. Suppose -1 = -3*l + 11. Let a be (-1)\/(-1) + l*3\/4. Solve 2 = -u + 2*i, -8*i + m = a*u - 3*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2975, -11 in descending order.\nAnswer: 2975, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8344 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, -5, 2, -3 in decreasing order.\nAnswer: 2, -3, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7941*n**3 - 11*n**2 + 7*n - 57. Let o be (-249)\/27 - (-3 - 125\/(-45)). Let j be z(o). What is j rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-279)\/(-45) + 2\/(-10). Suppose 0 = -f*m + m + 415. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*t - 2856 = -81*t. Calculate the common denominator of (2 + -55)*2\/(-28) and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-51)\/(-51))\/((-2)\/4). Which is bigger: -16\/9 or a?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*h + 195 = 129*h - 2*d, -4*h + 189 = 5*d. Solve -37*t = -h*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 28*c - 106. Calculate g(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38300, -16474, 5350, 27172, 48992, 70810?\nAnswer: 92626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*r**3 + 2*g**3 + 14*g*r**6 - r**2 - 6 wrt r?\nAnswer: 12*g**3 + 1680*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -12*m + 75. Let r be y(6). Suppose 0 = -4*x - 4*t + 44, -4*x = -r*x + 3*t - 21. Solve -x*p = -8*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 12\/227, 19\/2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -26 (b) -1 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/27)\/s*s*s*s*s)\/s**(-2\/13)*(s**(-2\/11))**(-37) assuming s is positive.\nAnswer: s**(41726\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + j. Let m(g) = -5*g**2 - 30*g - 3. Let x(n) = 9*n**2 + 53*n + 5. Let c(y) = -5*m(y) - 3*x(y). Determine 2*c(b) + 18*q(b).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2499))\/(sqrt(24)\/(sqrt(48)\/sqrt(6)))*3.\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2897 is divided by 668.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 48\/715 (b) 0.4 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1341328.5 months?\nAnswer: 11177.7375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 2. Let j(k) = 6*k - 3. Let c(q) = q**3 + 7*q**2 - 2*q - 19. Let o be c(-7). What is o*l(r) - 3*j(r)?\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -530 (base 11) to base 5\nAnswer: -10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119063909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/24 + 7*x**3\/2 + 67*x**2. Let s(z) = -10. Determine -5*s(j) - 2*y(j).\nAnswer: 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 470 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {h: 4, d: 4, b: 1, k: 1, z: 3}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4475 + 4476. Put o, 1\/4, 2146 in decreasing order.\nAnswer: 2146, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2091*m**3 + 13*m**2 = 0. What is m?\nAnswer: -13\/2091, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25492 - -12932. Suppose 34*h = -46168 - u. What is h rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from nnnnnennnnnnnnnnnnnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2129*a + 40437. Determine f(-19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/y*y**8*(y**(-4\/3))**(4\/27))**(-2\/19) assuming y is positive.\nAnswer: y**(32\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 11*t**2 + 22*t - 4. Let w be l(7). Suppose 0 = -w*f + d + 5634 - 766, f - 1621 = 2*d. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 30. Let i be h(-14). Suppose -i*d - c - 5 = 0, -3*c - 15 = -0*c. Solve d - 5 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 1061394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-660)\/16) + (-3)\/(-4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b6 (base 12) to base 7\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auwuauwaaaduuwdaadw. Give prob of sequence ww.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 20060277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.069151.\nAnswer: -0.414906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, -1, -2 in descending order.\nAnswer: 22, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2 - 16*v + 259*v**2 - 16*v + 28*v + 3. List the prime factors of d(1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2156 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/720 - r**5\/120 - r**4\/36 + 39*r**2. Factor o(q).\nAnswer: q*(q - 4)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 4*t**2 - 7*t + 4. Calculate d(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/5)\/(14\/(-21)))\/((-3)\/11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15726 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*1\/(-28)*(-105)\/150.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 360875\nAnswer: 180437.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5587 divided by 1728.\nAnswer: 5587\/1728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1, -1443, -2 in ascending order.\nAnswer: -1443, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/40 + 8*r**3\/3 - 15*r**2. Differentiate u(w) with respect to w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*s - 0*q + 16, -s - 8 = -3*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 10*k + 13. Give u(7).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 42\/11 (c) 2\/143 (d) -2\/383 (e) -1 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - -2 - 3 - -36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 170636 and -956.9.\nAnswer: 169679.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -433141, -866283, -1299425, -1732567?\n\"Answer: -433142*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 18*d + 16. What is the remainder when 137 is divided by b(19)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 16*u**2 + 20*u + 9. Suppose -4*f + 3*f + 15 = 0. Let j be l(f). Suppose -j - 21 = -5*d. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -181.209985645 + 181.21. What is c rounded to seven dps?\nAnswer: 0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18004.\nAnswer: 2, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39220.3284 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2168988.738 rounded to the nearest 10000?\nAnswer: 2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.54 - 5.74. Suppose -3*d = 2*x, -5*x + 5*d = -3*x. Suppose 9 = 4*p + 5*h - x, 11 = p + 3*h. Sort -1\/2, p, b in decreasing order.\nAnswer: b, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**5\/20 - 85*y**4\/12 + 297*y**2\/2 - 16*y - 10. What is the first derivative of q(a) wrt a?\nAnswer: -3*a**2 - 170*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let d(p) = 17*p + 72. Let u be d(-6). Let q = u - -61\/2. Sort 1\/4, -1, t, q in descending order.\nAnswer: t, q, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*n - 3 - 0, 3*a + 8 = 4*n. Let d = 84 + a. Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20, -9, 2.\nAnswer: -20, -9, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*z + 26 = 2, 0 = 4*z + 16. Let w be 15\/6*(2 + 0). Solve 0 = -4*m + 5*d - 8, -m - s*m - w*d = 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 1189188?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38747.\nAnswer: 38747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -200*r**2 + 5*r - 1849.\nAnswer: -400*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((5 + -2)\/27)\/((-185)\/1731600*60)\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 359330 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**4 + v**3 - v + 1. Let i(r) = 167*r**4 + 3*r**3 - 3*r - 164. Let k(q) = i(q) - 3*y(q). What is the derivative of k(z) wrt z?\nAnswer: 692*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*m + 2331 = 591, -3*m = -5*z + 2171. What is the second derivative of -z*q**2 + 433*q**2 - 42*q + 19*q**5 wrt q?\nAnswer: 380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 12:31 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 17*m**2 + 11*m + 1. Is o(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 3822798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*u - 87*u - 1691 = 0. What is the biggest value in -2, -1, 3\/7, u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + 0*k)*(-9*k + 12*k + 11*k + (0*k - 3*k + 2*k)*(8 - 5 + 60) - k + 0 + 0 - k + 3*k - k).\nAnswer: 147*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*a = 4 + 160, 0 = 13*y - 0*a + 4*a - 946 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*w + 37631, -780*q + 775*q + 9434 = w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 1*(0 - 0). Let v(c) be the first derivative of c + 20 + 9*c**2 - 1 - 8*c**2. Give v(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 448 - 118. Let o be (4\/(-12))\/((-2)\/u). Suppose 2*s = 41 - o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810 (base 11) to base 2.\nAnswer: 1111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 841*z - 507*z**2 + 388*z**3 - 1 + 1 + 503*z**2 + 2897*z wrt z.\nAnswer: 2328*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.143453145 to five dps.\nAnswer: 0.14345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 - -15) + 27702\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - 6. Let i be 7\/(28\/32) + 1. Let v(w) = 2*w - 3. Calculate i*v(r) - 4*y(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2698 and 570.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(170)*-1)\/(sqrt(120)\/sqrt(300)).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13*429.88038\nAnswer: -5588.44494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188*p + 353 - 796 - 1061 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - y - 970 + 876 = 0, 5*c - 268 = -3*y. Let z(d) = -72*d - 7. Let m be z(-6). What is the greatest common divisor of m and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -773736*x**5 - 2*x**3 - 2*x**2 + 316834 wrt x?\nAnswer: -46424160*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let f(n) be the second derivative of -n**7\/630 - n**6\/36 + 19*n**4\/12 - n - 33. Let i(c) be the third derivative of f(c). Calculate s(i(l)).\nAnswer: 4*l**2 + 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u + 10. What is the remainder when 252\/(-112)*(-6 - 2) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose 3*h + 2*w - 18606 = 0, 2*h - a*h = w - 6203. Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*f - 5. Suppose f*q - 5*q = -26. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/131 (c) 3 (d) -0.2 (e) 0.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l = -32. Do l and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and -394 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -0.85439551172.\nAnswer: -1.35439551172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m\/(m\/m**(2\/15)))\/m)*(m\/(m\/(m\/(m**(-6)*m))*m))\/m*m)\/(m\/m**(1\/4)*m*m**5*m) assuming m is positive.\nAnswer: m**(-113\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11764087833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 74\/5 of a day?\nAnswer: 21312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/5*(-4024)\/(-157942).\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 54. Let u(q) = q**2 - 4*q. Calculate u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 168\/23, 2\/11, -0.05, -309, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + 32 - (-2 + 3)) + 19\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33111969 and 615?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/5, -33, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -73. Let z be 5\/20 + s\/(-8). What is the greatest common factor of 54 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {o: 1, u: 4, a: 3, m: 2, q: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**4\/8 + w**3\/6 + 2*w**2. Suppose -105 = -58*l - 221. Calculate t(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - 14. Let u = f - -55. Suppose -5*q + 4*n + 21 = -4*q, 65 = u*q + 3*n. Calculate the remainder when 117 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 3. Let i(t) = t + 12. Let z be i(-7). Let v be m(z). Let j be (((-7)\/(-2))\/7*0)\/1. Solve j = b + 3 + 1, 0 = -2*s - 2*b - v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from umwuuuuug?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*l - 72. Suppose -4*h + 185 = -343. What is the highest common divisor of l and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -245.2173?\nAnswer: 73.56519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) -5 (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11331 - -11506. What is the highest common divisor of 115 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0067318284 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 4*y + 10, -5*y + 29 = m. Suppose 0 = m*j - 4*s, 0*j - 4*s - 5 = j. Let b = -0.02 - 3.98. What is the nearest to j in 0, -0.04, b?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1760880 and -71\/12760.\nAnswer: 1760880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-3))\/((-96)\/(-648)*(-171)\/38).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4 - 19300*d**3 + 716192*d**2 - 6258524*d - 6994014 = 0.\nAnswer: -9687, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 30\nAnswer: -13\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4 + 324*f**3 - 11304*f**2 - 2161540*f + 51193446 = 0.\nAnswer: -127, 23, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6450623 nanograms in micrograms?\nAnswer: 0.0006450623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61.944 and 19.\nAnswer: 1176.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*t**4 + 3*t + 12*t + 4*t - 3*t**4 wrt t.\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, r: 2}. What is prob of picking 1 r and 3 x?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 12, 2*v = 5*j + 18 - 51 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45202, -45252, -45300, -45340, -45366?\nAnswer: -45372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1941787*d*t**2 + 251563*d*t + 151*d + 26*t**2 wrt t.\nAnswer: 3883574*d + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2751955.\nAnswer: 5, 29, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zznnzn. Give prob of picking 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-150)\/18 + 1)*-3. Solve 0 = 12*w - f*w - 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 12 - 164*g - 46*g**2 + 25*g**2 + 3*g**2 - 38*g**2 = 0.\nAnswer: -3, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**3 + 5076*q - 5076*q + 43*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g**2 - 3*g - 5. What are the prime factors of m(4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6842603 and 45733?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0266 to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26810?\nAnswer: 2, 5, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 + 587 = -7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-23*(-1)\/5 - 5)*(-78 + 45 + 43)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(3466 - 3*b - 1732 - 1735).\nAnswer: 15*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -52423348, 3, -3 in descending order.\nAnswer: 3, -3, -52423348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -323402*z. Let c(a) = 3*a**2 - 26. What is g(c(q))?\nAnswer: -970206*q**2 + 8408452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.3601 + 45.3001. Let l = 0.3 - 0.31. Which is the third smallest value? (a) -0.2 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/12 + ((-5)\/45)\/(15\/45).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2854664, -2854666, -2854668, -2854670, -2854672, -2854674?\n\"Answer: -2*w - 2854662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*o - 287*o - 23*o - 27*o - 18*o - 22*o - 18*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**3 - a**2 + a + 1. Let k be (8 + 6)*(5 - 2). Let h = k - 43. Calculate f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2 + p. Let u be (6\/(-3))\/2 - 0. Let l be g(u). Put l, -5, 2 in descending order.\nAnswer: l, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.18 times 1474?\nAnswer: -7635.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkkkkkbbk. Give prob of sequence kk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 35) + 11 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 80 = -24*s + 232 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r - 11*r - 4*r + 10*r. Let s(y) = -y**3 + 6*y**2 - 4*y - 7. Let w be s(5). Is 16 a factor of t(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4 - 462\/1176?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4989 + 4989 + 11*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*d + 14 + 266, 2*d - 578 = -4*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*b**2 - 549*b**2 + 235*b**2 - 66*b**3.\nAnswer: -66*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17624, 17619, 17612, 17603, 17592, 17579, 17564?\n\"Answer: -t**2 - 2*t + 17627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/7 - 4 - (-10)\/200*-60.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.64 + 1.44. Let r = z + 24.14. What is the biggest value in 0.3, r, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205 - 34. What is the highest common divisor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 88.147 and 2.7.\nAnswer: 90.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43*(-6 - -1)*20\/(-100) and 1*(1 + (-3)\/(-13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or -120826?\nAnswer: -120826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -625*p**4 + 17*p**2 + 11518*p wrt p.\nAnswer: -7500*p**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 36007.01 kilometers?\nAnswer: 3600701000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*f - 115*f = -210*f - 204 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y\/(y*y**15*y))\/y*y**1*y)\/(y**(-3\/10)\/(y\/(y**(3\/11)\/y))) assuming y is positive.\nAnswer: y**(-1207\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 3. Let a(g) = 13*g - 40. Let k be a(4). Calculate y(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 + -7c1?\nAnswer: -79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/3255016?\nAnswer: -3\/3255016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 157, -3, -2, -1, 102 in decreasing order.\nAnswer: 157, 102, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13b6 - ac2?\nAnswer: 5c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108998865?\nAnswer: 3, 5, 283, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.253 (c) -35 (d) 0 (e) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20192812 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 (base 12) in base 9?\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-5 + (-8)\/(-2)). Let a be (k\/(-2))\/((-5)\/(-60)). Let r(o) = o**3 - 5*o**2 - 7*o + 5. Determine r(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83878 or 83708?\nAnswer: 83878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -45.4 (b) 1\/4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 9. Let j(d) = -d. Let a(y) = -4*j(y) - z(y). Let t be a(4). Suppose 2*k - 14 = -5*o + 4*k, 3 = -t*o + 5*k. Solve -l - o + 0 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = 0. Suppose 4*v - 12 = -3*t, 3*v + 3 = t + 4*v. Suppose t = -g*d - 2*d + 4. Solve 0 = c + d*j - 2 + 3, 6 = c - 5*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5297097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 251283850 less than -2396542?\nAnswer: -253680392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9772*j**4 - 2*j**3 + 9231*j**2?\nAnswer: 234528*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -0.0125.\nAnswer: 0.9875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(55)\/sqrt(5)) + -1*sqrt(38)\/sqrt(2) + (sqrt(152)\/(sqrt(8)*1) - (sqrt(76) + 3)))**2.\nAnswer: 6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + f**2 + 3*f + 1 - 2. Let r be u(1). Let a = 3 - r. Solve -p - 4 = -a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -10. Let q(n) = -64*n**2 + 40. Let y(z) = 43*z**2 - 27. Let w(h) = p*q(h) - 7*y(h). Differentiate w(k) wrt k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 7*n**2 + 81*n + 30. What is the remainder when 63 is divided by q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:43 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 25 = -2*i, -6 = -5*q + 2*i + 29. Suppose 5*b + 35 = -2*k, 2*k + 1 + 7 = -2*b. Let u = b - -19. Solve u*z = q*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**20)**(2\/43) assuming u is positive.\nAnswer: u**(44\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 4*f - 2*f + 2 + 4*f**2)*(27 - 27 - 5*f**2).\nAnswer: -10*f**4 - 10*f**3 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + 1))**2 + ((sqrt(13) + -1 + sqrt(1053))**2 - sqrt(13)).\nAnswer: 51*sqrt(13) + 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847 = -33334*d + 33345*d + 55 for d.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**6\/120 + r**5\/6 + r**4\/24 + 2*r**3\/3 + 12*r**2. Does 2 divide v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-6) + (-52)\/(-24). Let b be (36\/42 + -1)*-2. Sort b, 3, -4, j in descending order.\nAnswer: 3, j, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514705?\nAnswer: 5, 311, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 395, -15, 4 in increasing order.\nAnswer: -15, 4, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Let g be (((-759)\/22)\/(-23))\/((-42)\/8). Let u(l) = -l**3 - 4*l**2 + 2. Let a be u(-4). What is the third biggest value in -0.1, x, a, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1318781*v**2 - 6*v + 20800?\nAnswer: -2637562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 561870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + 198. Calculate the remainder when 321 is divided by k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0435088 rounded to 4 dps?\nAnswer: 0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:25 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 32*l**2 - 22*l - 268. Let m be q(31). Sort m, 0, -4, -30, 3.\nAnswer: -30, -4, 0, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 0*w + 6*w.\nAnswer: 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20198569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32599759, 32599760, 32599761, 32599762?\nAnswer: 32599763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/14 and 4 - 0 - 1053\/90?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h\/h**12)\/h*h)\/h*h*h)\/h*h*h**(-2))\/(((h**(-7)\/h)\/h)\/((h\/(((h**(-4)*h)\/h)\/h))\/h)) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 - 11*k - 3*k)*(k**3 + 2*k**3 - 5*k**3)*(-5*k + k + 2*k).\nAnswer: -56*k**5 - 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = 3*i. Suppose i - 51 = -2*k. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.03. Let x = 80 - 132. Let k = x + 52. Which is the smallest value? (a) k (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-525)*(-5200191)\/(-12). Let w = v - -8254. Let h = w - -7\/10. What is the biggest value in -2, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -73 (c) 1\/4 (d) 1 (e) -0.0192 (f) 15\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb (base 14) to base 4.\nAnswer: -2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbuu when four letters picked without replacement from {u: 2, b: 13, x: 3}?\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a. Let z(o) be the first derivative of 5*o**3\/3 - 7. Calculate z(b(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12 + 5)\/((-1)\/(-6)). Let b be h\/(-9)*6\/(-4). Let t(k) = -k**3 - 6*k**2 + 4*k - 6. What are the prime factors of t(b)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/((-570)\/300).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -5 - -8)\/((-6)\/(-6009))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(6 - 0)\/6. Is -4\/79 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -484*g + 484*g - 5*g**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15009 and 217081390.\nAnswer: 217066381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1107 and 656.\nAnswer: 17712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250 + -247. Suppose -11*n + 2*t + 4 = -13*n, n + z*t + 2 = 0. Which is the second biggest value? (a) -0.1 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/873 or -3?\nAnswer: 4\/873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**4\/4 - 7*b**3\/3 + 9*b**2 - b + 441. Let l be (6 - 4)*(1 - -1). Let j be k(l). Is j greater than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - 10*z + 6*z + 0*z**2 - 162 + 290 - 142 to l*z**2 + w*z + b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 0.143244.\nAnswer: 1.862172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 7*s + 2. Let z(r) = 2*r**2 - 17*r - 32. Let h be z(-2). Suppose 10*b - h = 30. Determine d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42403081607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1109\/(-1) - (2 + -1). What is k rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768 divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -97*o + 3896. Let r be m(40). Solve 36 = -4*c + 4*x, 11*c + 2*x - 33 = r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - 2.06. Let j = 0.109 + -0.304. Let m = j + 0.095. Put m, n, 4 in decreasing order.\nAnswer: 4, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*k**4 + 19*k**3 - 26447*k**2 + 3965245*k - 32?\nAnswer: -1488*k**2 + 114*k - 52894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -4*p + 310. What is the remainder when p is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(1 + 0 - 3)*(7*g + 0*g - 3*g) - 23 + g + 23)*(-2*g**4 + 3*g**4 - 3*g**4).\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h**(1\/3))**(14\/9)*(h*h**(-9)*h\/h**(1\/2)*h*h)**(7\/13) assuming h is positive.\nAnswer: h**(469\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((10\/175)\/(8\/20))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -712, -1697, -3076, -4849, -7016?\nAnswer: -9577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from gctty?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 253800284105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2. Let y(j) = 35*j. Determine k(y(o)).\nAnswer: -2450*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29828506794 + 553.\nAnswer: -29828506241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 95 and 0.0328?\nAnswer: 94.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5888\/(-3680))\/((-12)\/225).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from hxxnnnhghehzexhxhnne.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y. Let q(o) = 51658*o**2 + 2*o + 2. Give q(j(b)).\nAnswer: 1859688*b**2 + 12*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31329 or -31390?\nAnswer: -31390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-6)*(-9)\/(-5). Suppose -5*r + 30 = 5*d, -4*d + a = -r - r. Suppose r*z = -3*z + 9942. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000034544431 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**6\/30 - h**4\/2 - 7*h**3\/6 - 18*h. Let d(f) be the second derivative of q(f). What is the derivative of d(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 89*q**4\/24 + 23*q**3\/6 - 13*q**2. Let g(k) = 30*k + 8. Let l(h) = 8*g(h) - 3*v(h). Differentiate l(f) with respect to f.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:36 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 495587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v. Let p(c) be the third derivative of 0*c + 11\/24*c**4 + 0 + 0*c**3 - 102*c**2. Calculate p(l(g)).\nAnswer: -88*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**4 - 7*s**2 + 0*s**2 + 3*s**5 + 0*s**4 wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.85 + -3.1. Let k = 1.75 - l. Which is the smallest value? (a) 33\/2 (b) -0.1 (c) -0.4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c - 37b17?\nAnswer: -37c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, p: 4, c: 3}. Give prob of sequence ipcc.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*y + 2*x, -5*x = y - 8 - 25. Find the common denominator of -1 - ((-1090)\/36)\/5 and (410\/y)\/5 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-15)\/(-21) - (-6)\/14. Let h(v) = 8*v**2 - 48*v + 48. Let q(a) = a - 1. Give r*h(t) - 48*q(t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18*3*(-4)\/(-24). Is 7 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**6 - 18747*y**4 - 46*y**2 + 170*y + 7 wrt y?\nAnswer: 480*y**3 - 449928*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2415*a**2 - 83*a wrt a?\nAnswer: 4830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3387 - -3783. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999*(-20)\/15*129\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13767565 is divided by 8488.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 401443 + 22213?\nAnswer: 424211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.838995 nanograms?\nAnswer: 0.000000000000004838995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtiw when four letters picked without replacement from wtyiyyqtqiqwt.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*t - 33, -2*t - 4 + 6 = 2*v. Suppose -29 = -5*r + j, 48*r - 44*r = j + 23. Solve -r = t*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -334*s - 1334. Let b be w(-4). Solve 0 + 3\/4*q**b + 1\/4*q**3 + 0*q = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 13*p**2 - 8*p + 1. Let u(s) = s**2 - 1. Let n(d) = 6*u(d) - y(d). Calculate n(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 51 = s + 2*s - 0*s, 191*r - 16*r = -4*s - 632 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -630 + 630 + 584*m.\nAnswer: 584*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.68 and -0.7.\nAnswer: -5.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8436\/468 + -18)\/((-2)\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100069 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -15*w**3. Is j(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 1028, 4 in decreasing order.\nAnswer: 1028, 29, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*r + 59. Let k = -39 - r. Calculate the remainder when 83 is divided by (3 - 9)*k\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/5 - 60112*l**4\/5 - 1204383972*l**3\/5 - 8040867535802*l**2\/5 + 40241684703973*l\/5 + 48281347915914\/5 = 0 for l.\nAnswer: -20039, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {y: 3, t: 3, m: 3, k: 4, z: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - sqrt(192)*-1) + 5)**2.\nAnswer: 240*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-110)*2\/((-6)\/(-33)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 233716 at least 233822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*h*t*z - 5*g**2*h*z - 88*g**2*t + g**2*z + g*h*t*z - 2*g*t + 10*g*z - 39*h*t*z + h*z wrt g.\nAnswer: 2*h*t*z - 10*h*z - 176*t + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 5:11 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**3 + 128*u**2 + 13. Let y be g(16). Let i(o) = 2*o**2 - 3*o + 2. Let h be i(4). Let a = y + h. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001364209 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 15*s**2 - 4*s + 4. Suppose 14 = 1581*o - 1595*o. Let u(a) = -a**2 + a - 1. Give o*k(c) - 4*u(c).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0204977 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1508 - 4?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 25*w**2 + 26*w - 2. Determine u(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 6 - -2) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acbl when four letters picked without replacement from lackatblc.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2517\/11 + 229. Let q be 1*((-2)\/(-2) - 2). Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 36, 2, -295, 3, -90 in increasing order.\nAnswer: -295, -90, -1, 2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -244d5c?\nAnswer: -244d5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -287414 divided by -131?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q**2 + 2*q - 4*q - 4*q - 2 - 5*q**2 + q**3. Let r be s(6). List the prime factors of (r\/(-4))\/((-3)\/(-138)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -696*q**2 - 240817*q - 347. Calculate c(-346).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 0. Solve n*m = m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.762 - -0.062. Let r = 13.1 + g. Let i = 57 - 514\/9. What is the second biggest value in r, i, -0.9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + 36. Let p = d + -48. Solve 0 = -5*b + 10, -4*b - p - 7 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxq when three letters picked without replacement from {x: 1, d: 2, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-28)*m**(5\/6)*m\/(m\/m**(-3))*m*(m*m**28)\/m*m*m assuming m is positive.\nAnswer: m**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 91. Let b = 121 + -21. Suppose b = x + f*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/7, -2, 2\/59, 0 in decreasing order.\nAnswer: 0.3, 2\/59, 0, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n - 3. Let c be m(2). Suppose 7 = -11*f + 62. List the prime factors of 140\/(-15)*c\/(f\/(-18)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20279 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1756 = 9*s + 1234. Put -8, s, 2 in increasing order.\nAnswer: -8, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*f**2 + 79*f**2 - 41*f**2 as y*f**2 + x + w*f and give y.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -4, -128655\/8, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 8*s**2 - 10*s + 19. Let n = 30 + -21. Let b be m(n). Suppose -b = -3*h + 5. Solve -3*a = -3*k + 9, -a + h*a + 10 = 3*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((40\/4)\/10). Suppose 5*y = -z*x + 2*x - 62, -x + 3*y + 33 = 0. Calculate the least common multiple of 48 and x.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872329377 to the power of 1\/3, to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - h - 13 + 3*h + (-2 + 3 + 1 + (2 + 1 - 1)*(0 - 4 + 2) + 1 + 0 + 4)*(0*h + 0*h + 2*h) to c*h + d and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, -2, 0, -5 in decreasing order.\nAnswer: 2, 0, -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, p: 2, u: 2, t: 1, f: 2, x: 2}. Give prob of sequence fptx.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1162 - 8*l - 579 + 52*l - 583 to the form n + b*l and give b.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:19 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/12 + u**3 + 3*u**2 + 2*u. Let m be a(6). Let d = m + 2. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320 + 11021?\nAnswer: 20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 163, 0.7, -2.17?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**3 - 12*k**2 + 6*k + 16. Let z(b) = -3*b**3 - 4*b**2 + 2*b + 5. Let p = 6 - 11. Let q(u) = p*s(u) + 16*z(u). Determine q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 9 + 21 = 0. Let t(b) be the third derivative of 7*b**4\/24 - 10*b**3\/3 + b**2. Let a be t(f). What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 13*j - 1560 = 0. Let t = j + -98. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -1\/2*y**4 + 0*y + 0*y**2 + 0 + 0*y**3 - 1\/2*y**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-240))\/((-2)\/20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902.5405 days to seconds.\nAnswer: 77979499.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(1\/3)*v*v**(-3)*v assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 19*c - 96 = 0. What is the greatest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 2. Let h be q(5). Let y = -24 + h. Suppose 5 = y*p - 7. What is the smallest common multiple of p and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52\/3 of a day?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 - 8.5. Let b = v - -10. What is the closest to 0.1 in -4\/5, 2\/15, b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3 + 5085*a**2 - 1224369*a + 80012247 = 0 for a.\nAnswer: 137, 1421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00132060627 rounded to 5 dps?\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -24. Let y = -7 + w. Find z such that -4*z**5 - 9*z**y - 15*z**2 + 7*z**5 + 12*z**2 + 9*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5 - 1 - 1 + 3 - 16*q. Let b be y(1). What is the tens digit of (-22)\/((b\/(-16))\/(-5)) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.5, 2, -0.3, 624, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073322 divided by -357774?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o**2 + 0*o)*(-11*o**3 + 157*o**3 + 68*o**3).\nAnswer: 428*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.4 - -13. Let s = -3.56606 + -0.05094. Let y = s + u. What is y rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 3)*((96 + 81 - 152 - 2*n)*(2 + 0 - 4) + 2*n + 3 - 2 + 0*n) in the form b*n + f and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 27. Suppose 0*n = -n + w. Solve z = -4*z - n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 29*v + 1. Let t(n) = 4*n**2 + 22747 - 22747 - 5*n**2. Give t(d(y)).\nAnswer: -841*y**2 - 58*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679069 is divided by 5612?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4686414, -4686415, -4686416, -4686417?\n\"Answer: -g - 4686413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*n - 1 = 4*z, 0 = -3*z + 2*n + 23. Solve -2*c = -15 + z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 1\/70*y**7 + 59\/480*y**6 + 0*y + 0 - 67*y**2 + 41\/96*y**4 + 1\/4*y**3 + 41\/120*y**5. Suppose t(x) = 0. Calculate x.\nAnswer: -3, -1, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 68 + -130 + 131\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -28.2.\nAnswer: 112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2374982189695.999999419 - -2374982191095. Let j = x - 1399. What is j rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose 2*k = -4*z - 118, -2 = k - 4*z + 39. Let c = k + 53. Solve c*j - j = i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8440, 16883, 25322, 33757?\nAnswer: 42188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -289405, 4 in increasing order.\nAnswer: -289405, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((11 - 11 - 20*k)*(0 + 0 + 3*k) - k**2 + 2*k - 2*k)*(-3 + 2 + 0) as v + o*k + y*k**2 and give y.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 0*z = 462. Let g = z - -244. Calculate the remainder when g is divided by 7\/(-4*(-2)\/48).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*t + 280 = 0. Let x = -27 - t. Suppose -2*g = x, -2 = 3*y + 3*g - 35. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 1424497860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68021 is divided by 3567?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 4, t: 1, v: 7, p: 6}. Give prob of sequence pjp.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*f = 5, 5*f = -5*f + 5*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91 - 119) + (-18 - 1) + (-79 - -85).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445082624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 - (-2 + 1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1634 - -1634.1. Which is the closest to 2\/7? (a) 3 (b) -1\/2 (c) l (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -64. What is the second derivative of c*b**4 - 3*b**3 + 2*b + 3*b**3 - 18*b wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.3. Let u = -0.049 - -2.049. Let x = 428.3 - 428. What is the nearest to -0.1 in u, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 8*j**2 - 2*j + 22. Let f be k(8). Suppose 5*l + 2*u + 23 = 0, 4*u + 19 = -l - 0*u. Sort 2, f, 5, l.\nAnswer: l, 2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21 - -11)*(-2)\/4 - -3679995. Round j to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71 - -89) + -19 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n*p*q**2 - 2*n*p*q - 2*n*p - 3*n - 6*p - 249*q**2 + 46 wrt q?\nAnswer: -6*n*p*q - 2*n*p - 498*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + t = 0, 0*t - 4*t = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -621*d + 10949 - 7203 + 28546 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1923 + 1963. Calculate the remainder when 179 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84758153 is divided by 6519852.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 153*g + 14. Is r(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from eqjzqjzzqzzxg.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (70 + -55 + 2 + 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 48, 0, 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3211084483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -44\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 2*z**3\/3 + z**2\/2 - z. Let f be 0 - -3 - 0\/(-9). Suppose -4*v - 10 = 5*w, f = -4*w + 2*v - 5. Calculate o(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(35)\/sqrt(5) - (3 + sqrt(63) + sqrt(7)))**2.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14784 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3*s - 2*h**3*w - 21*h*w**3 - 5*s*w + 12*w**3 + w wrt h.\nAnswer: 3*h**2*s - 6*h**2*w - 21*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 19*a**2 + 73*a - 137. Let i be c(19). Calculate the highest common factor of 40 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 - 11*m + 5. Let i be v(-3). Which is the fourth smallest value? (a) 0.3 (b) i (c) -1\/3 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (1 + -27 - 4). What is the highest common divisor of 308 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1987752 and 17940.\nAnswer: 9938760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36265 + -22891. List the prime factors of s.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 - 174*s**2 - 1101*s - 1530 = 0.\nAnswer: -51, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g*o**4 + 3*g*o**3 - 2*g*o**2 + 11*o**3 - 52*o**2 wrt o?\nAnswer: -24*g*o + 18*g + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/174447 and -20\/224289?\nAnswer: 1570023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/7050*70\/84.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 313311199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r = 0. Let p be 20\/(-26)*7618\/(-1465). Solve r = -2*n - p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -33566, 4 in descending order.\nAnswer: 4, 3, -33566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 517 and 1442287.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.29 + -0.09. Let k = -0.29 + w. Let m = -346.1 - -351.1. Which is the third biggest value? (a) 4 (b) m (c) k (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -0.1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/(2\/(-30)). Let q(d) = d**2 - 6*d + 6. Let f be q(k). What is the derivative of -2*r**4 - 4*r + f + 4*r wrt r?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-60)*(-3)\/(45\/(-20)))\/((-30)\/4).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3\/3 - 15844*r**2\/3 + 15681596*r\/3 + 15697444\/3 = 0. Calculate r.\nAnswer: -1, 1981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1.4, -4\/5, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7 + a + 7 - 4*a**2. Let t be v(1). Let j be t\/4 + (-63)\/(-4). Solve -2*w - j = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10218, 81345, 274262, 649863, 1269042, 2192693, 3481710?\nAnswer: 5196987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*(-138)\/322)\/(-1*(-2)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 338*r**3 - 2*r**2 - 3358. Let u(a) = 673*a**3 - 5*a**2 - a - 6719. Let b(m) = 5*o(m) - 2*u(m). What is the derivative of b(d) wrt d?\nAnswer: 1032*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 44 + 68. Let w = 15 + -72. Let j = -37 - w. Calculate the remainder when j is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1 - 7*l + 20*l - 2*l + 2*l. What are the prime factors of o(8)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120041 + -1011?\nAnswer: 114030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30244 (base 6) to base 5\nAnswer: -111423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 35 = 5*z, -9*o - 35 = -134*z + 139*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2521575.\nAnswer: 3, 5, 7, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1414 - 11?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -260, -3, 2, -6, -2635, 3 in descending order.\nAnswer: 3, 2, -3, -6, -260, -2635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3203 (base 7) to base 16.\nAnswer: 46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 17690.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 85*j**3 - 6*j - 5*j**2 + 10*j - 2*j + 3*j**2 to the form y + a*j + m*j**2 + p*j**3 and give p.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (sqrt(110) - 1*(sqrt(110) + -2*sqrt(110))) - (-1*sqrt(110) + sqrt(110))*1)\/((sqrt(400)\/(sqrt(48)\/sqrt(6)))\/sqrt(5)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28583\/2 - 14292. What is the closest to 6 in -0.18, -23, n?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17885\/(-294))\/(-73))\/(1\/(-2))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.1407008 to two decimal places.\nAnswer: -12.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 12*i**2 - 6*i - 15. Let k be u(-11). Let c = k + 182. What is the greatest common factor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-h**5 - h**5 + 6*h**5)*(-20 + 4 + 3).\nAnswer: -104*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6635.9996999 - -6636. What is n rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 0.5, -1.\nAnswer: -3, -1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4 and -37\/876.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1429 - 1403. What is the closest to 0 in 6, q, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 6*p + 12. Let v = p + -12. Solve v = 4*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -19*j + 2. Suppose 30 = -2*n + 92. Suppose 13 = y + t, -y = y + t - n. What is the lowest common multiple of k(-4) and y?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 818*h**2*w**3 + h**2*w**2 + 2105*w**3 wrt h?\nAnswer: 1636*h*w**3 + 2*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 6566050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1038 divide 7000272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 4. Let r be 6\/(-3) - (-18 - f). Suppose -2*n = 3*t + 1, r + 3 = -4*t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 642\/((-4)\/((-32)\/12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 5. Let a = -8 - -13. Let h = -17 - -19. Sort a, h, t.\nAnswer: t, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071976517 to six dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 113 - 165 + 2*a**2.\nAnswer: 2*a**2 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289894853*o**5 - 24*o - 176977.\nAnswer: -5797897060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 999 and 26471391?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3630789 and 5168610.\nAnswer: 6381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.67 + -22.09. Which is greater: u or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114421.75 to the nearest 100.\nAnswer: 114400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162470)\/2532 - 33*-2.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1643 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 + 1. Let x(o) = -6*o**3 + 5*o**2 + 4. Determine 5*n(s) + x(s).\nAnswer: -s**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/2 + (-1)\/(-2). Suppose 6 = 5*y - 3*y. Let l be 280\/(-21)*(y - (-18)\/(-4)). Solve 0 = 4*p - w*p + l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 8 = 2*v, 93*h - 2 = -5*v + 92*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65542.\nAnswer: 2, 32771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 1. Let d(w) = -13*w**3 - 16 + 202 + 11*w - 3*w**2 - 13 + 13 - 9*w. Let x(f) = -d(f) - i(f). What is the first derivative of x(l) wrt l?\nAnswer: 39*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43082, -43083, -43084?\n\"Answer: -t - 43081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -706203 from 0.1.\nAnswer: 706203.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11202 (base 4) in base 6?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5. Is (-30 + (-2)\/q)*-1 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + 1121000002002?\nAnswer: 1121000011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -1)*(-5 + 6). Suppose -4*o + 4*v - 60537 = -20041, v = -t*o - 20236. What is o rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -37. What is the remainder when (7 - -39)*9\/6 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.5, -2, 318, 0.01, -4\/19, 3?\nAnswer: 318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-44)\/16)*-4*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2194854 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1\/868?\nAnswer: 1\/868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42931 times -4656\nAnswer: -199886736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:49 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -797, -2155, -4153?\n\"Answer: -320*i**2 + 242*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 322 - 3?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 plus 259359?\nAnswer: 259364.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 18. Let l be (3*(-3)\/(-9))\/(14\/(-126)). Calculate n(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4 - 2*m - 16*m + 25*m. Let h be w(1). What is the third derivative of -9*y**3 - 2*y**h + 13*y**2 + 2*y**3 + 3*y**3 wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:02 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 613 divide 195594532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**2 - 8364*l - 4184.\nAnswer: 4*(l - 1046)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 18*m**4\/19 - 15322*m**3\/19 - 12148*m**2\/19 + 187488*m\/19 - 40896\/19 = 0.\nAnswer: -4, 2\/9, 3, 852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v**5\/3 - 44629*v**4 + 306145*v**3\/3 + 516453*v**2 - 573870*v = 0 for v.\nAnswer: -19129, -3, 0, 1, 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35a + 43?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22e5b (base 16) to base 4\nAnswer: -202321123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(sqrt(10) - sqrt(40) - sqrt(10)) - (6*4*sqrt(3) + sqrt(3)))*6)**2.\nAnswer: 70227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(637)*4 + 5)*1*-3.\nAnswer: -84*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -2. Let l(w) = w + 2. Let y be l(h). Let i = 1 - y. Solve i*s - s = 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -364?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21081173 to the power of 1\/2, to the nearest integer?\nAnswer: 4591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6321219258 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h - 272. Give a(31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2 - -4) + -21)*-1. Let u = o + -6. Suppose 0 = 2*q - 50. Calculate the remainder when q is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2316*m + 2319*m = 2*y + 130, -131 = -2*m - 5*y. Solve -737*t - m = -753*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15414.735311 and 1540.\nAnswer: 16954.735311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -9, -5 in ascending order.\nAnswer: -9, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1189 + -0.1189. Put 3\/4, j, 5\/4, -0.4 in decreasing order.\nAnswer: j, 5\/4, 3\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 42. Let o be y(10). Let a = o - -233. Let i = a - 196. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5)*y\/(y**(2\/3)\/y)*(y*y**(-6))\/y**(-1\/6))\/(y**(-1\/5)\/(y\/y**(-4)*y)*y**5*y*y**(-3\/4)) assuming y is positive.\nAnswer: y**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a29 + 8?\nAnswer: -a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-266)\/(-38)*(-378)\/410130?\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2378?\nAnswer: -3\/2378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -21.969. Let q = -0.03131 - r. What is q rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 3*q**2 - 3 + (q - q + q)*(q + 0*q - 8*q) to the form z*q + n*q**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196 - 1036. Let u be q\/55*(2 - 7). What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 10*o + 19. Let m be b(-8). Solve -2*p + 5 = -m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -38. Suppose y*c - 23 = 1. Solve l + 1 = 5*p - 17, 2*l = 4*p - c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35\/6, -1\/874, 16, -1, 2\/11?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-1 + -4 - (-1 + 0)). Let c be 0 - (-4 + (3 + y - 0)). Solve 0 = -2*q - 3*o + 4, 2 = q + 4*o - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3253 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1369675, -1369678, -1369681?\n\"Answer: -3*g - 1369672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1193195 and 1185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*h. Suppose 0 = -0*f - 3*f - h*s + 892, 288 = f + 3*s. Suppose 9*r - 4*r - f = 0. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9)*h**6)**(-12))**(1\/19) assuming h is positive.\nAnswer: h**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 6, c: 1, w: 7}. What is prob of sequence cjws?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 872893?\nAnswer: 872891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14175 + -2331. What are the prime factors of p?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226691675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -877, -887, -899, -913, -929, -947, -967?\n\"Answer: -u**2 - 7*u - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*z + 28*z - 77 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*f + 6*f**3 - 5*f - 4*f to the form a*f**3 + x + n*f**2 + z*f and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 - 182\/6. Let q = t - -28. What is the units digit of (2 + 2)\/(q\/(-34))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*-2 + sqrt(26)\/sqrt(2)*-2.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32 + -29 + (1 - 1)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.275812 centuries?\nAnswer: 62.75812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 1. Let m(j) = -2*j + 1. Let i(n) = -12*n + 1. Let d(t) = i(t) - 2*m(t). Determine 5*c(f) - 4*d(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6*r**3 - 14*r**3 + 4 + 9*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13762 divided by 1\nAnswer: 13762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146 - -164. Calculate the lowest common multiple of 39 and r.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(220) - sqrt(220)*3 - sqrt(55) - sqrt(55)) + ((sqrt(55) - sqrt(220)\/sqrt(4)) + sqrt(55))*2)\/((sqrt(70)\/sqrt(2))\/sqrt(7) + 6*1*sqrt(5)).\nAnswer: -4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*y - 63, -3*y - 3*v + 38 = -v. Suppose y = -3*l, -2*g - 2*l = -0*l + 4. What is the third derivative of -4*p - 2*p**5 + 4*p + 2*p**g wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71980230 by -3427630.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445246995.\nAnswer: 3, 5, 2111, 108803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 8, -3.\nAnswer: -40, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.10682 + 9.89318. Which is the closest to -1.3? (a) -1 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10146920?\nAnswer: 2, 5, 7, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 8437239?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**4 + 10*u**3 + 4*u**2 + 4*u - 4. Let x(n) = 3*n**4 + 11*n**3 + 5*n**2 + 5*n - 5. Let t(c) = 5*d(c) - 4*x(c). Solve t(m) = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l - 3*c - 732 = 0, 0 = 4*l - 4*c - 592. Suppose -4*t + l = 5*q, 19 = t - 0*t - 3*q. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00099 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36043544?\nAnswer: 2, 997, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -2, 2 in decreasing order.\nAnswer: 7, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:29 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 14*i. Let r(k) = 3*k**2 + 262*k. What is r(l(m))?\nAnswer: 588*m**2 + 3668*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**5 + 2*c + 17*c**5 + 0*c wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20877 (base 10) to base 7\nAnswer: -114603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1327 - 3325 + 1889*k**2 + 1049 + 1357*k**2 - 3184 wrt k.\nAnswer: 6492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 13*d**3 + d. Let u(x) = x**3 - 6*x**2 + 3*x - 15. Let q be u(6). Let v be (-5 - -3 - 1)\/q. Calculate c(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -554 - -556. Solve o*d - 3*r - 30 = 5*d, d - 10 = 3*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 4. Let b(p) = -4*p - 30. Let r(y) = -y - 7. Suppose -t - 2 = 2*k, 31*t - 4*k - 2 = 32*t. Let c(j) = t*b(j) + 9*r(j). What is c(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/42*(-140)\/2. Put 6, -13, p, 2, -1 in descending order.\nAnswer: 6, p, 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2644 + -2584. Which is the second smallest value? (a) o (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -683*u - 8. Let n(q) = -1366*q - 17. Determine 6*n(m) - 13*w(m).\nAnswer: 683*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d = -41*d + 1173. Suppose -6*t + 305 + d = 0. Let f = t - 51. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11 - 89 = 3*h, 0 = 2*h. Suppose -14*x + 10*x + 140 = 0. Calculate the lowest common multiple of p and x.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 6*l**2 - 29*l - 12. What is x(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2226275, -2226261, -2226243, -2226221?\nAnswer: -2226195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/33 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 267, 0, 2, 0.3, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 35 = 4*s - 2*s, -5*y + 50 = -5*s. Suppose -5*v - 5 = -y*r, r = -3*v - 2*r + 9. Let n = -1 + 2. Which is the nearest to n? (a) v (b) 0.2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1336 - 1272. Sort 5, p, 1, -2 in decreasing order.\nAnswer: p, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -22, -36, -52, -70, -90?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-17 - -87 - 5) + 11 + 9?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5\/7 - 8804*j**4\/7 - 319140*j**3\/7 - 1757888*j**2\/7 + 1948370*j\/7 + 2757900 = 0.\nAnswer: -29, -5, 3, 4438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -86 - 163. Let n be 3 + -1 + l + 5. Suppose -9*x + n = -6*x. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-3\/5)*b*b)\/((b*((b\/(b\/(b\/b**7*b*b)))\/b)\/b)\/b))**(12\/13)\/((b\/b**3)\/(b**(-2\/19)*b))**13 assuming b is positive.\nAnswer: b**(58559\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43239175 to the nearest integer?\nAnswer: 6576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 106622 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**0))\/f*f**(-12\/5)*f*f*((f**(-5)*f)\/f)\/f*f*f*f**(-1)*f assuming f is positive.\nAnswer: f**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 167764811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.66 - 1.76. What is the closest to v in -2\/13, 2\/41, 3\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259407509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -204*c**6 + c**5*o + 53*c**2*o - c**2 - 24*o wrt c.\nAnswer: -24480*c**3 + 60*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/26946 and 55\/6.\nAnswer: 26946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**2 - 5*f**2 + 4*f**2 - 557*f**2 + 120*f**2 - 519*f**2 + (-f**2 + 0*f**2 + 2*f**2)*(-1 - 1 + 1).\nAnswer: -965*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmsm when four letters picked without replacement from xsxsskmsmmkmcmsd.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**6\/40 - g**5\/15 - 5*g**2. Find the third derivative of t(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/46*-1). Let k = 1144 + -1110. Let u = o + k. What is the greatest common factor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 1. Let k be x(3). Suppose 7*p = k*p + 220. Suppose z = -z + p. What is the remainder when 64 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*2)\/((-10)\/(-25)). Suppose -8 - 7 = -k*f. Let c(n) = -f*n**2 + 4*n**2 + 1 + 1 - 2*n. What is c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 4}. Give prob of sequence ldd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(9)\/sqrt(3))*-2)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8399545.69999979 - -8399542.1. Let l = o - -3.6. What is l rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 39*j**2 + 106*j + 1499. Does 8 divide l(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j. Let r(s) = -37*s - 30. Give r(c(l)).\nAnswer: -111*l - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q**3 + q**2 - q. Let r be m(1). Calculate the smallest common multiple of (0\/(-2) - 2)*(r - 2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3157*v - 78. Is f(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 581 = -5*h + 566, h - j - 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 25 = 4*l + 5*t, 2*l + 4*t - 14 = 0. Solve -8*q = -3*q + l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-7 - -8) + -1 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0507 + -0.011. Let t = 2 + -1.94. Let g = q + t. What is g rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 471. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 less than -535.587?\nAnswer: -898.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2912)\/312*54\/2*6\/(-4). Solve y = 14*t + 49*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 10) to base 8.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373.0882 - 0.0882. Let u = j + -368.94. Let f = 0.06 - u. What is the closest to -1\/4 in -0.5, 2\/5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**3 - 8*d**2 + 11*d - 8. Let h(x) = -4*x**3 - 5*x**2 + 7*x - 5. Let w be (-345)\/(-60) - (-3)\/(-4). Determine w*f(z) - 8*h(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/864 and -71\/4.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4697 by -35.\nAnswer: -671\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -251280 divided by -2\nAnswer: 125640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1058 and 598.\nAnswer: 13754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17386*r**2 - 58417*r**2 - 53*r + 53*r.\nAnswer: -41031*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134791 or 673959\/5?\nAnswer: 673959\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*y - 9506008108 + 9506008108.\nAnswer: -114*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17934, 35922, 53910, 71898?\n\"Answer: 17988*z - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.08, 4945?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 67*m - 143 - 92 = 120, -4*r - 3*m = 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/((-448)\/(-216)) - 8\/(-2). Let s = 0.3 - 0.5. Let g = s - 0.3. Sort 0.1, g, d.\nAnswer: g, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -43. Let s(a) = -72*a + 3. Is s(j) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2645*r**3 - 2043090*r**2 + 11431680*r - 15933440.\nAnswer: -5*(r + 778)*(23*r - 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7937.40035 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 752875 divided by 13\nAnswer: 752875\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*y - 0 + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*u + 12 = -59*u. Calculate the highest common factor of u and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 - 13*t - 18. What is the units digit of n(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 5*m**2 - 2. Suppose 2*u - 3*q - 16 - 28 = 0, -88 = -4*u + 2*q. Calculate the smallest common multiple of u and k(2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 809 - 794 = 0, 17*m = -3*h - 57 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**3 + 25*z + 30*z**5 - 10*z - z**3 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8299 or 74678\/9?\nAnswer: 74678\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*z - 35 = 6*z, 0 = k + z - 15. Suppose -g = 5*o - 167 + 127, 24 = 3*o - g. What is the lowest common multiple of k and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 4 (c) 5\/41 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 + 433. Suppose -l + 225 = -3*h. Solve -z = h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, -1\/108, -1\/5, -2\/3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, z: 2, x: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 26\/7*g**3 + 102\/7*g**2 + 0 + 2\/7*g**4 = 0.\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 1, 2*j + 27 = 4*j - 3*f. Let t(h) = 2*h**3 - 23*h**2 + 4*h - 14. Let u be t(j). Let m = 664 + u. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 9*s**2 - 25*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -33 - 11*f + 33 - 4*f + 16*f. Let g(s) = 6*s**2 - 3*s + 3. Let a(z) = -11*z**2 + 5*z - 5. Let i(o) = -3*a(o) - 5*g(o). Determine q(i(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2166191393?\nAnswer: 709, 3055277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206213, -412433, -618657, -824885?\nAnswer: -1031117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*-2 - 5*(sqrt(5) + 1)**2.\nAnswer: -34*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**3 + 15*u**2. Let i(d) = -132*d**3 + 286*d**2. Let w(g) = 4*i(g) - 77*s(g). Find the third derivative of w(p) wrt p.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**2 - 28 - 6 - 11*o**2 + 35 - 1.\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 637*n - 788?\nAnswer: 637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*n. Let d(i) = -7*i**3 + 3*i + 2. Let k(s) = s**3 + s**2 - s - 1. Let r(m) = d(m) + 2*k(m). What is r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.37 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, 180, 4, 8 in decreasing order.\nAnswer: 180, 8, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -458*s - 787?\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * -4.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5157, -5208, -5301, -5442, -5637, -5892?\n\"Answer: -x**3 - 15*x**2 + x - 5142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/7 + 66*r\/7 - 6264\/7.\nAnswer: 3*(r - 36)*(r + 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + o - 11 = -2*j, 2*j = 3*o + 22. Suppose -j*c + 167 = -188. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -122, 10.\nAnswer: -122, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -137 + 387. Let n = 17 + -90. Let s = 83 + n. Calculate the highest common factor of g and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1404 and 707724?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 18*t**2 - 15*t**2 + 39*t**2.\nAnswer: 6*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/12884?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73379899 is divided by 1834497?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + r)*(-9 + 2 + 3)*(19*r + 30*r + 65*r).\nAnswer: -456*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.107 + 0.155. Let u = -0.038 - g. Which is the nearest to -2\/5? (a) -4 (b) 2\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -24, -38, -50, -60, -68?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 - 15454*a**2 + 2*a**3 + 7728*a**2 + 16 + 7729*a**2 - 3*a in the form m*a + r*a**3 + c + g*a**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41\/217 + 12335\/4774. What is the common denominator of 69\/14 and h?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882123591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 67\/7, 2\/271, 0.3?\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (1 - -9) - 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) -4 (b) 17\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 19 = 21. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -15 + -2 + (1 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36540 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47a + 1?\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 120*r**3 - 5*r**2 + 2*r - 8. Let b be w(-5). Let z = 8543 + b. Round z to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1\/1940335?\nAnswer: -1\/1940335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53508 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285.1 + 273. Let g = j + 7.1. Let k = 2.5 - 3. Which is the third smallest value? (a) k (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-141)\/(-12))\/(-3 - -8 - (-387695)\/(-77540)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2\/(-4 + 2)). Suppose t = 7*q - 4*q + 3. Let l(j) = -8*j + 1. Is l(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 57. Let o(f) = -26*f + 20. Let b(h) = 9*h - 7. Let y(p) = 11*b(p) + 4*o(p). Let t(z) = -4*z - 4 + 13*z + 0 - 2. Give d*y(n) - 4*t(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*q + 178 + 152, -2*q + 4 = 0. What is the remainder when w is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267\/(-21) + 117\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9041915480?\nAnswer: 2, 5, 13, 23, 211, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(42)\/sqrt(48))\/(sqrt(128)\/sqrt(4)).\nAnswer: -5*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7980.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4912 + -0.5088. What is the nearest to 0 in -6, j, 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 1, h: 2, r: 1, x: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 2*z = -2*g + 20, -3*g = 3*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 12818*z + 849828 = 0.\nAnswer: -6342, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 4*h)*(-3 + 6 + 3)*(-14 + 4 + 5).\nAnswer: -60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3\/2*q**2 + 0*q**3 - 2 + 1\/6*q**4 + q. Let i(y) be the first derivative of u(y). Find the first derivative of i(a) wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2) + 4 + (sqrt(16)*3)\/sqrt(8))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from qqgqkckqkcqckqqfqccq?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 1:32 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -2, -56, -160, -332, -590?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 2*r + r. Let d = 53 + r. Suppose 3*y - 3*j = 2*y + 6, -3*y = -j - d. Calculate the highest common divisor of y and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 620 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38802610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - 2*u + 14 = 0, 2*u = j + 2. Let z(p) = 15*p + 5. Is z(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 6*w + 27528 - 27528 to the form v + d*w**2 + r*w and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/52752 and -107\/560?\nAnswer: 263760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3 - 12194846*c**2 - 73299879.\nAnswer: 3*c**2 - 24389692*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266871 is divided by 13343.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.27 and 158534?\nAnswer: 201338.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + q - 71. Let b(t) = -16*t**2 - 5*t + 353. What is 2*b(v) + 11*f(v)?\nAnswer: v**2 + v - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 1568?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 10*g**2 + 3*g + 3. Let w(l) = -l**3 - 8*l**2 + 20*l - 2. Let o be w(-10). Let d(f) = 3*f**3 + 9*f**2 - 2*f - 2. Calculate o*y(s) - 3*d(s).\nAnswer: -s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42246 (base 11) to base 16\nAnswer: f04e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5 = -10*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {g: 2, n: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + sqrt(272) - (-1*sqrt(34))\/sqrt(2)) + sqrt(85)\/(sqrt(20)\/sqrt(4)) + sqrt(34)\/sqrt(2) + 5)*4 + 3.\nAnswer: 27 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = k + 5*i, 3*k + 4*i + 31 = 275. Suppose k = 5*c - 6. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 288*h + 4899. Let a be n(-17). Factor 1\/2*z - 7\/2*z**2 + 3\/2 - 5\/2*z**a.\nAnswer: -(z + 1)**2*(5*z - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7+-0.247\nAnswer: 6.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 = 2*k, -2*o - 50*k = -47*k + 11. Let z(a) be the first derivative of 13\/2*a**4 - 16 + a + 0*a**o + 0*a**3. Differentiate z(d) wrt d.\nAnswer: 78*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10605)\/707)\/((-1)\/((-4)\/(-6)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - (-3 - -3)) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/9804559 less than 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x. Let d(v) be the second derivative of -5*v**3\/2 - v + 96. What is y(d(o))?\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(-5))\/k)\/(k\/(k\/(k*k**(-1\/3)))))\/(k\/k**0*k**4)*(k**1\/(((k\/(k**(-4\/3)\/k))\/k)\/k*k))\/((k**(-4\/3)\/k)\/k*k*k\/(k*k\/k**(3\/2))) assuming k is positive.\nAnswer: k**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69\/2 or -11\/73?\nAnswer: -11\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*a = 75*a - 560. Solve -5*x - 5*r - 22 = -7*r, 5*x = -a*r - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 6:47 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*c**3 - 2*a**3*c - 3*a**2*b + a*b*c**3 - 2600560*a*c**3 + b + 611796*c**2 wrt c.\nAnswer: -12*a**3 + 6*a*b - 15603360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -11*g - 9647. Suppose 3*h - g = -34. What are the prime factors of h?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6 - (-4 + 44\/10)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(6 - (6 + -1)). Solve 3*z - 5*n - 8 = 0, -d*n + 7*n + 32 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*l = 2*l, 5*h = 5*l. Solve -d - 2*d + 6 = h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**5)\/(c*c**(-2\/21)*c))**41)**(2\/7) assuming c is positive.\nAnswer: c**(7052\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1441 + 298*r**3 + 1450 - 2892.\nAnswer: 298*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 1354885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*s - 68, -5*s + 45 = 3*l - 11. Let v be 2\/l - 29\/(-6). Suppose -u - 2*i + v + 2 = 0, -3*u + i = -42. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2756988.\nAnswer: 2, 3, 13, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*r + 5 = -659*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 16*d**2 + 37*d - 13. Give u(13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 215*t + t**2 + 296*t + 129*t - t**2 - 6.\nAnswer: 2*t**2 + 640*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147.316 + -118.3193. Let x = v - 29. Let k = -0.00087 - x. Round k to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20*-3*((-6016)\/47)\/(-384).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231.105 millilitres to litres.\nAnswer: 3.231105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t. Let m(z) = 3328569*z. What is l(m(w))?\nAnswer: 13314276*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -54. Let c = q + 40. Suppose 3*y - 61 = 2*n - c, -y - 5*n = -21. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 37 (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4133 + -43?\nAnswer: 4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 100\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(108) + -1)**2.\nAnswer: -48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -43*g**3 - 215*g**2 + 215*g. Let v(x) = 4*x**2 + 46*x - 5. Let w(a) = -5*a**2 - 55*a + 6. Let r(m) = -6*v(m) - 5*w(m). Determine 215*r(h) + t(h).\nAnswer: -43*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1174 - 1159. Calculate the smallest common multiple of f and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 605?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*s + 638 = -18401, -6343 = -c - 2*s. Let g = c + 2758. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -0.5 (b) 0.038 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u**3 + u. Let x(c) = 15*c - 14. Let i be x(4). Let n = i + -47. Determine j(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18815 and 11570515.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3738\/13 - 288. Is 1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3681.98 + 3683. Let g = 0.01244 + -1.02184. Let x = g + l. Round x to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - 10.9. Let r = -3.3938 + -8.6067. Let m = p - r. What is m rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -762 + 471. Let m = f + 453. Is 0.1 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, d: 1, e: 2}. What is prob of sequence xr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 + 45)*(-14)\/(-2) + (-8446)\/(-1189)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10daaa7 (base 14) to base 5\nAnswer: 4030332431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 277, 317, 245, 25, -379, -1003?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/12)\/((-10)\/16). Let c = 1 - -3. What is the biggest value in 0, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0.5006 (c) 3.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/27, 164 in descending order.\nAnswer: 164, 0.3, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 636017717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 33027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*f + 34*n - 43*n, -5*n = -19*f + 19*f + 15 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -708, -1386, -2036, -2658, -3252, -3818, -4356?\n\"Answer: 14*n**2 - 720*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*u**2 + 44*u**2 - 2*u - 28*u**2 + (-4 + 1 + 4)*(-5*u**2 - 4*u**2 + 6*u**2) as m*u + w + o*u**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-16) + 70\/(-24) and -151\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*c + 42*c + 43*c + 43*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*q**2 - 4004*q - 7056.\nAnswer: 4*(q - 252)*(4*q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202\/5 + 40. Let h = 42.2 - 42.9. Sort k, -2\/19, h, 2 in ascending order.\nAnswer: h, k, -2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccvecevc. What is prob of sequence cev?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -64*p + 3247. Determine z(51).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692106409?\nAnswer: 23, 30091583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 67 + 444*a + 359*a.\nAnswer: 803*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 27\/(-7))\/((-6)\/21). Suppose 13 + 7 = 4*f. What is the third smallest value in f, b, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/132165 and -103\/17622.\nAnswer: 264330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j = j + 69*j. Find q such that -5\/3*q**5 - 10*q**4 + j - 10*q**2 - 55\/3*q**3 + 0*q = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2\/5 - 6512*z\/5 + 2650384\/5 = 0. What is z?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = m - 5*m. Let d be (-2)\/m*(51 + 0). Calculate the greatest common divisor of 34 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 743\/2 - 302. Let v = u - 64. Let o = v + -7. What is the biggest value in -1\/2, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4827 - 2266. What are the prime factors of l?\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/60 + 7*p**4\/12 - 17*p**3\/6 - 28*p**2. Let d be z(-15). Let g be (-696)\/18*d\/(-24) - -3. Sort -0.1, g, 3.\nAnswer: g, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*k**3 + 45*k**3 + 64*k**3 + 37*k**3 + 50*k**3 - 239*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*l = -360, 0 = -3*x + l + 113 + 158. Let m = 93 - x. Solve -5*d + 5 = -m*k, -28 = 4*k - 3*d - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83\/465 - 2\/93. Which is the nearest to -2\/21? (a) 3 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 38*p + 138. What is s(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/6 - x**3\/6 - 2*x**2 - 2*x\/3 + 8\/3 = 0. Calculate x.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7)*g*g)\/g**(1\/3)*(g**(-2\/5))**(-6\/13)*(g**4\/g**(3\/4))\/((g*g**(-3\/2))\/(g\/g**3)) assuming g is positive.\nAnswer: g**(17323\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322 is divided by 100.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 0.2. Let q = 1 + g. Let v = -11 + 8. Which is the smallest value? (a) 1\/3 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 40 = y. What is the second smallest value in y, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3\/3 - 36*s**2 - 2*s\/3 + 36 = 0.\nAnswer: -1, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) + -3*sqrt(152) + sqrt(152)) + sqrt(152))\/sqrt(8) - (2*sqrt(475) + 1 - sqrt(475))**2.\nAnswer: -476 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(1\/((-5)\/1)). Let i be (330\/(-11))\/(1\/(2\/(-3))). Let y(f) = 4*f - 30. Let a be y(i). What is the greatest common divisor of a and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/3 - 14*j**4\/3 - 226*j**3\/3 - 70*j**2 = 0. Calculate j.\nAnswer: -7, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -36. What is the second smallest value in -2, l, -5.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-5 - -7) + -1). Let r(i) = -11*i - 7. Let p(q) = -22*q - 13. Let x(a) = j*p(a) - 5*r(a). List the prime factors of x(13).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/33957 and 82\/454377.\nAnswer: 9541917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -4, -7249, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31704)\/(-28) - (-22)\/(-77). Calculate the least common multiple of 2\/(-6) + z*3\/36 and 11.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 2:25 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -69*k**3 + k**2 - 4*k - 5. Let a(j) = j**3 - 12*j**2 + 11*j + 3. Let c be a(11). Let t be o(c). Let w = 911 + t. Round w to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.394725l?\nAnswer: 394.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 4\/5 (c) 0.013 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 - ((141 - 71) + -92)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 9*j**2 + 8*j - 5. Suppose -4*v + 2*l - 6*l = 20, 35 = -4*v + l. Let u be k(v). Let s(h) = h - 2. Determine s(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**2*l*m**3 - 8*b**2*l*m**2 + 2*b**2*l*m + b*l*m**3 + 117*b*l*m - l*m wrt b?\nAnswer: -14*l*m**3 - 16*l*m**2 + 4*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 + 25*y**2 - 23*y - 5. Determine d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (27 + (19 - 43))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 167, 6, -13, 2 in decreasing order.\nAnswer: 167, 6, 3, 2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f - 679 + 679)*(-1 + 1 + 1)*(-1 + 3 + 1).\nAnswer: -51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - 34. Let l = 40 - 117. Let x = l - p. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 - 71. Let s be (9 - -1)*5\/10. Suppose v = -s*r + t, -25 = -2*v - 2*r - 5. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84672 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 45. Suppose -5*z = z - n. Suppose 10 + 8 = z*b. Solve 0 = -4*r + 6 + b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 13*s - 6. Determine d(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18197\/9 - -2022. What is the fourth biggest value in 15, w, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8379\/55 - 1095\/11. Suppose 5*t - 131 = -2*y, -4*y = 3*t + t - 232. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.273 minus -0.5?\nAnswer: -2.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -6*o + 80. Solve -i + o*i + 4*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 14*q - 12. Let g be p(-13). Let z = g - -2. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12497 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -0.72. Let h = 3.3 + d. Let o = h - 4.1. Does o = 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 742 - -0.051.\nAnswer: 742.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15917 (base 10) to base 7\nAnswer: -64256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/88 - -4\/11. Let d = -6.1 + 6.2. Which is the nearest to d? (a) 0.5 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(150))\/(sqrt(288) - (sqrt(288) - sqrt(288)*2) - sqrt(288)).\nAnswer: sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 - 7*c**2 + 3*c + 5. Let o(b) = -3*b**3 + 6*b**2 - 2*b - 4. Let w(i) = -4*h(i) - 5*o(i). Determine w(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2 and -51\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**4 + a**3 - 7*a**2 + 5?\nAnswer: 120*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q**5 + 3*q**4 + 7*q. Let j(c) = 19*c**5 + 5*c**4 + 14*c. Let s(m) = -5*h(m) + 3*j(m). Find the second derivative of s(l) wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3316 divide 886478317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -0.7 (b) 4 (c) -222 (d) -4\/3 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 2*o**2 + 0*o**2)*(0 + 0 + 3*o) + (-19*o**2 + 45*o**2 + 22*o**2)*(3*o - 5*o + o).\nAnswer: -51*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -39. Suppose -4*y = -4*t + 4, -3*t + 1 = n*y - 2. Suppose 7*w - 43 + 8 = 0. Solve -w = -y*v + 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i. Let q(b) = -1332*b + 3. Give p(q(w)).\nAnswer: 2664*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 5891 - 1042. Let t = z + -346. Let u = 222 + -117. What is the remainder when u is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9*o + 142. Let n be h(-16). Let s be n\/(-11) + (-2028)\/(-22)*-37643. Round s to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*(-4)\/88*5\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -425355074?\nAnswer: 425355073.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 38, 60, 90, 128, 174, 228?\n\"Answer: 4*f**2 + 2*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 477432 - (1 + 15 - 23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 + -293. Let g be 14\/(-49) + w\/(-364). Let z = 10 - 15. Which is the closest to g? (a) 3 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 14*k**2 + 3*k + 1. Give h(14).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 66?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2736))**2 - (sqrt(19) - (1 + sqrt(95)\/sqrt(5))))*5.\nAnswer: 54725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 + 20*i - 71. Let f(o) = -o**3 + 6*o + 9. Let c be f(0). What is the units digit of m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -72*(42\/(-24) - -1). Which is bigger: 62 or v?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25035214 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3683 and 1397.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-1)\/4)\/(5\/(-20)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*r + 259*r - 3*w - 15, -2*r + w = -15 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 21*f + 5*f + 0*f**3.\nAnswer: 5*f**3 + 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 30, 4\/11, -7, 0.5, 3.588, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*q - 2 = -3*q, 4*q - 18 = -5*n. Let d(z) = 4*z**n + 16*z + 6 + 5 - 2. Let v(t) = -t**2 - 5*t - 3. Let k(g) = 2*d(g) + 7*v(g). Give k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70 + -1022?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 14 = 3*g, 0*g - 2*g + o = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 838.5568kg in grams?\nAnswer: 838556.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 49*r - 3. Calculate the remainder when n(2) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**2 + 20*o + 10. Let g(r) = -5*r**2 - 10*r - 5. Let i(a) = -5*g(a) - 2*w(a). Factor i(k).\nAnswer: 5*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71218 - -10?\nAnswer: -71208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/2 - 45*j\/2 - 47 = 0.\nAnswer: -2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1390*y - 16480 - 3769 = 361*y + 4447 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17842 + 11?\nAnswer: 17853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 4*l - 1905, -2*u + 3780 = 2*l. What are the prime factors of u?\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3877*f + 3877*f + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1317 divide 104553016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.8 + 27.8. What is the second smallest value in -4, 0.06, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(f - 5*f + 2*f) + 3*f - f + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150143 + -99597. Is c a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2180706 and 18981?\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1046444 (base 8) to base 15\nAnswer: 587cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586922283 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 13) to base 8.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 25*c**2 + 37*c - 12. Let g be w(9). Find the common denominator of (-2)\/17 - (-2469)\/g and 71\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -520, -3, -2100, 0 in decreasing order.\nAnswer: 0, -3, -520, -2100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5 - 10*k**4 - 4*k**3 + 20*k**2 + 2*k - 10 = 0 for k.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022011221022 (base 3) in base 13?\nAnswer: 1b3287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + x + 4*x)*(-5 + 5 + 2*x**3 + (-3*x**2 - 2*x**2 + 3*x**2)*(-3 + 3 - x) + x**3 + 1 - 1).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 16*c + 7\/2*c**2 + 0 - 20\/3*c**3 + 1\/4*c**4. Let h be v(16). What is the greatest common divisor of 54 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*m - 177 = 0, -3*k - m + 195 = m. Let i = 10 + 52. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.033 in -2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543188 divided by 12?\nAnswer: 135797\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 3*c - c)*(-275 + 12 + 153)*(3 - c - 3 + (0 - 1 - 3)*(2*c - 2*c + 2*c)).\nAnswer: -4950*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4111 is divided by 294.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-272)\/68)\/(24\/(-66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368)*3)\/(-1*sqrt(32)).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4720332 and 69\/114074690.\nAnswer: 684448140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:55 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14412\/71 + -203. Which is the second smallest value? (a) -1 (b) m (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4571412 by -12.\nAnswer: 380951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196479638 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42993 + -4127279\/96. Find the common denominator of y and -83\/792.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40121110 times -5\nAnswer: -200605550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 136606232 (base 7) to base 10\nAnswer: 9044345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -20. Let p be g\/(-2) + (-36)\/(-12). Let u(t) = 3*t - 6. Let d be u(5). Is d > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*f - 9*a + 1464, 4*f + 4*a + 1500 = 0. Let r = f + 407. Calculate the smallest common multiple of 18 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -20*w + 6493. Let t(u) = 19*u - 6495. Let z(j) = 4*c(j) + 3*t(j). Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 190117845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 6. Let l be q(-2). Let z = -5 + 10. Suppose 0*j - 4*j - 195 = -5*y, l = -z*y + 2*j + 205. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-8 - (-1 - -2) - (261 - (412 + -30)))?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 76 = 2*x. Suppose -v + 5*v + 28 = -4*s, -4*v = -4*s + 44. Let p = x - v. What is the greatest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10155*r**3 + 20300*r**2 - 10135*r - 10.\nAnswer: -5*(r - 1)**2*(2031*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:01 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 3. Let k(i) = -5*i - 8. Is 11 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-1219)\/(-161))\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 + 163*s - 59. Determine b(53).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 - 2 + (0 - 1 + 3)*(-2 - 4 + 5) + 3 - 1 - 1 + 3 - 2 + 1)*(24*f - 24*f + 12*f**2) to k*f**2 + w + i*f and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 10. Let y be v(0). Find the common denominator of ((-203)\/y)\/(-7) - 1 and -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66*1*-1*((-352989)\/(-4310))\/273\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2275 - -2280. What is the nearest to -4\/3 in 0.3, -0.2, 13, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 25. Let s be m(20). Suppose 5*o + 2 - 7 = 0. Sort s, o, 2.\nAnswer: o, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 653*c**4*d**2 + 33*c**3*d**3 - 827*c*d**3 - 4*c - 4 wrt c?\nAnswer: 7836*c**2*d**2 + 198*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 + -101. Solve -6 = q*o - 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 - 3*y**5 + 3*y**5 + (-y + y**4 + y)*(0 - 5 + 2)*(84*y - 158*y + 67*y + 56).\nAnswer: 20*y**5 - 168*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11213*w**2 - 10444*w + 2?\nAnswer: -22426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*j + 3*d + 1007, -3*d + 995 = 2*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4 + 47*b**2 - 35*b**2 + (0 + 0 + 2*b)*(-2*b - b + 2*b).\nAnswer: 10*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 2. Let k(r) = -r**2 - 8*r + 4. Let x be k(-8). Let o = 1 + x. Suppose h + 30 = -5*i - h, -4*h = -o*i. Determine t(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let y be o(0). Suppose y = -n - 4*g - 5, -4*n - g + 25 = 0. Let s(v) = -v**2 + 9*v - 6. What is the units digit of s(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, z: 1, a: 3}. Give prob of sequence laz.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (3*3*sqrt(300) - sqrt(300)))**2 - (sqrt(27) - sqrt(216)\/(sqrt(24)\/sqrt(3)))\/sqrt(9).\nAnswer: 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 3, j: 3, y: 1, s: 2, e: 1}. Give prob of sequence yeh.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(13) + 2 + sqrt(13)*1))**2.\nAnswer: 128*sqrt(13) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 73*d + 52. Let s(k) = -144*k - 103. Let h(o) = -3*s(o) - 5*u(o). Find the first derivative of h(m) wrt m.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + ((24 - 20) + 4 + -2 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*m**2*v + 7*g**3*m*v + g**3*n + 2*g**3 - 2*g**2*m*n*v - 3*g**2*n*v - g*m**2*v + m**2*n + 21*m**2*v wrt g?\nAnswer: 12*m**2*v + 42*m*v + 6*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -365*a**2 + 10*a - 4*a - 190*a**6 + 360*a**2 wrt a?\nAnswer: -22800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u\/u**1))\/u))\/u**(-1\/4))\/((u\/u**(-4\/3)*u)\/u*u*u**3*u*u) assuming u is positive.\nAnswer: u**(-85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 23 = 4*f - 6*g, -2*f = -g - 9. What is the nearest to f in 0, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 11*t**2 + 13*t + 22. Let q be u(-12). Solve 4*h = -h + q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.359 + 0.859. Let o = 3 - 1. What is the closest to -0.3 in 0.4, w, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > -16286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*a - a - 5*w, -3*a = -2*w - 16. What is the common denominator of -33\/16 and 7\/42*213\/a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2538*n + 2543. Let r be y(-1). Solve r*g = 3*k - 15, -2*k - 2 = 2*g + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 76405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 95520.5 days in nanoseconds?\nAnswer: 8252971200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137010846.\nAnswer: 2, 3, 7, 67, 181, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -118*r - 4500. Determine i(-38).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u + 1\/3*u**3 - 8\/3 - 2*u**2 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3824422 and -131\/170?\nAnswer: 19122110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.11 (b) 4 (c) 3\/13 (d) 0.09 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18431107?\nAnswer: 367, 50221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 275*m - 554. What is w(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 - 2283*y = 0 for y.\nAnswer: 0, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -2 - (2 - 3). Find z such that 13*z**4 + 3*z**5 - 3*z**i + 20*z**2 + 10*z + 20*z**3 - z**5 + 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1075400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*a**2 - 37*a**3 + 442*a**2 + 26*a**3 - 146*a**2 - 156*a**2.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 30 = -n. Is 19 a factor of 342*(1 - n - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -1, -20 in ascending order.\nAnswer: -20, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 - 5*l**2 + 3*l + 1. Let a(x) = -9*x**3 + 16*x**2 - 8*x - 3. What is 2*a(p) + 7*j(p)?\nAnswer: 3*p**3 - 3*p**2 + 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 180 = -4*k, 3*k - 84 = 2*f + 48. What is the greatest common factor of 252 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 54. Is r < -2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4552068 centuries?\nAnswer: 4.552068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(245) - (sqrt(245) + (sqrt(245)*-2 + sqrt(245) - sqrt(245))))*6)\/((1*sqrt(70))\/sqrt(10)))\/((-5*1*sqrt(42))\/(sqrt(96)*2)).\nAnswer: -96*sqrt(5)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -43, -97, -167, -259, -379, -533, -727?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 29*b**2. Let s(x) = -477*x**2 + 229*x**2 - 340*x**2. Determine h(s(k)).\nAnswer: 10026576*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**3 + 2*y. Let p(i) = i**2 + 13*i - 2. Let j be p(-13). What is the remainder when d(-2) is divided by 2*j*36\/32*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*v + 215, -5*v - 245 = -5*o - 0*v. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -584 + 830. Let w = -213 + q. Calculate the remainder when 78 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (12 + (-10 - -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/4 - 20*h**3 + 600*h**2 - 2*h - 1. Factor l(b).\nAnswer: 3*(b - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 6, -a + 31 = 2*l. Suppose 10*o - a = 7*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-18) - (-2)\/(-6). Calculate the least common multiple of 4 - (0 - (-2 + k)) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/(4\/30). Let u be (3 - (8 + -4))*1. Sort u, 0, n in decreasing order.\nAnswer: n, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12\/89, -1\/9, 2, -2\/21?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 22609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 185, 386, 579, 758, 917?\n\"Answer: -a**3 + 2*a**2 + 202*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-3)\/((-456)\/16))\/((-2)\/(-36)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-32))\/((-2)\/(-5188)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -167. Let i = w - -93.1. Let q = -11.1 + i. What is the smallest value in -1, q, 2\/7, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 663 + -663. Solve -2*l - 8*l + 20 = z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 37*i**2 - 15*i - 5. Let c(a) = -2*a**2 + 2*a + 1. Determine 6*c(z) + j(z).\nAnswer: 25*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 - 25*z**2 + 4*z - 12*z**2 + 6*z**2 - 3*z**2 - 3*z.\nAnswer: -28*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 6 + 2 = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 22. Let p be s(-15). Let d = p + 47. Solve -5*x - 5 = -d*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*x**4 + 34*x**4 - 10*x**2 + 11*x**2 + 18 to the form g*x**2 + v*x**3 + s*x**4 + n + b*x and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*y + 3*x + 3 + 16 = 4*x, -3*y - 2*x = 3*x - 131 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6.2 (b) 2\/9 (c) 0.1 (d) 0.5 (e) -2073 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24293942.\nAnswer: 2, 12146971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63973758*k**2 + 203201065 wrt k?\nAnswer: 127947516*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 + 152. Sort g, -2\/17, -21\/4.\nAnswer: -21\/4, -2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 75020*r**3 + 281849780*r**2 - 3374099520*r + 10114202880.\nAnswer: 5*(r - 7496)**2*(r - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 55486*4\nAnswer: 221944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1014 and 85\/73346?\nAnswer: 220038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*r + 40*r + 7866 + 3064 = -3731 for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*b + 41*b - 697 - 134*b to g + a*b and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.648735 millilitres to litres.\nAnswer: 0.003648735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1080 - 8679\/8. What is the common denominator of c and -43\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 7 - -10) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 104 - 50 = 56 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 26 + 76 = 0. Suppose 0 = 2*c - w - d, c - 3*w + 4*w - 11 = 0. Let n be 3*-1*(-2 + 1). Solve k = -n*k + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/18)*g\/(g\/((g**32\/g)\/g)) assuming g is positive.\nAnswer: g**(541\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 3*k - 12, 5*k - 5*v = 20. Suppose -3*c + 3 - 6 = 0. Let f = c + k. What is the remainder when 5 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**27\/y)*y)*y*y*y\/y**(-4\/3) assuming y is positive.\nAnswer: y**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.765143 to 3 dps.\nAnswer: -0.765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1605, -1588, -1563, -1530, -1489, -1440, -1383?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3))\/(y\/y**(1\/4))*(y**0)**(-2\/49))**17 assuming y is positive.\nAnswer: y**(-187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1156\/(-3))\/(-4)*(-54)\/(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -117969?\nAnswer: 117969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -41. Suppose -4*a + 4*x + 76 = 0, -5*a - z*x + 40 = -71. Let o = 4 + 3. What is the highest common factor of a and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 - 4*i**2 + 1. Let k(x) = 3*x**3 - 5*x**2 + 1. Calculate -2*k(m) + 3*y(m).\nAnswer: 3*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43879879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 6 - 5) + (-3 - -3) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -178, -176, -174, -172, -170?\n\"Answer: 2*t - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 + 1568\/2450. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/528*(-17)\/((-1122)\/(-363))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-684)\/133)\/6 + 46\/70. Suppose -2*c = 3*a, 5*a + 0*c = 2*c. Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 7. Let d be z(5). Let b be (5\/d - 2)*2. Let p(k) = 7*k**3 + 2*k**2 - 2*k + 1. Calculate p(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**5 + 2*z**5 - 70 - 5*z**2 - 2*z - z + 69 wrt z.\nAnswer: 80*z**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297943441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1489 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + b - 3. Let z(s) = 3*s**2 + 2*s - 4. Let l(r) = 3*a(r) - 2*z(r). Calculate l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb (base 13) to base 9\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80749 is divided by 5033?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2086 + 2570 = 12*r. Calculate the greatest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**4\/5 + 26*p**3\/15 - 8*p**2\/3 - 46*p\/15 + 16\/5 = 0.\nAnswer: -8\/3, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 344, 345, 346, 347, 348?\n\"Answer: x + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**6\/420 + f**5\/14 - 9*f**4\/14 + 40*f**3\/21 - 349*f**2 + 3. Suppose d(t) = 0. What is t?\nAnswer: 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13240 divided by -331?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1254)\/(-1330))\/(154\/140))\/(1\/(-77))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 2*o + 5113. Let c be u(0). Let t = c + -30575\/6. Find the common denominator of t and -107\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2310 (base 4) to base 7.\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/5, 3, -19, 10, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 r when four letters picked without replacement from dedrrrrerdrdre.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1603*s = -1645*s + 5670714. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-1 + 4 - 13)*(2*f**3 - f**3 - 2*f**3).\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -682 from -130390.014.\nAnswer: -129708.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j**2 + 83*j + 2. Calculate q(-10).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24474 is divided by 22898.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1470, -2943, -4418, -5895, -7374, -8855?\nAnswer: -10338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 29. Let x be 1\/(8\/(-8))*(m + 1). Suppose -2*d + 55 - x = 0. Calculate the least common multiple of d and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -30. Let n = g - 4. Suppose n*d + 57 = 2*f - 0*f, 5*f + 4*d = 177. Calculate the remainder when 130 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 3, -5, -3, -2, 4, 191 in decreasing order.\nAnswer: 191, 93, 4, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 6, o: 3, q: 7}. Give prob of sequence qq.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 3:34 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 4:46 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448))**2 + 0.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 42. Calculate the common denominator of ((-16)\/(-10) + -2)*170\/48 and (-1491)\/147*(-7)\/r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(5*k - 6*k - 10*k) as u*k + x and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x + 5. Let j(w) = 4*w - w - 16*w - 3*w. Calculate j(b(d)).\nAnswer: -96*d - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06906512556 - 1320?\nAnswer: -1319.93093487444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -319356 by -9.\nAnswer: 35484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5455330 a multiple of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 98\/36) + (-10)\/(-45). Which is the closest to h? (a) -1 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*i + 3*m, 5*m = 3*i - 6 + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2396541.\nAnswer: 3, 7, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8367529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ischqlqc. Give prob of sequence ic.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5033, 10128, 15223, 20318?\n\"Answer: 5095*u - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2341*z + 2347*z - 6 = 0. What is the closest to 1 in 3, z, -1\/71?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 22*p**2 + 118*p + 2381. Give u(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(3\/13)*z**(1\/59)*z)\/((z\/z**30*z*z)\/z*z*z**(-2\/21)))**26 assuming z is positive.\nAnswer: z**(945254\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-99))\/(2 + (-51)\/33).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -16281527?\nAnswer: 4\/16281527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, u: 2, y: 4}. What is prob of picking 1 y and 1 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2928*z - 1788888 = 3313*z + 3339*z + 6112*z for z.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*s**2 - 149*s**2 - 74*s**2)*(-1 + 1 + s)*(0 + 0 - s).\nAnswer: 337*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-8)*(-10)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001111 - 1?\nAnswer: -1001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 - 17*a**2 - 12 - 31 wrt a.\nAnswer: -34*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24517454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-7 - 1) - (-4 + (-6 - -4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2705253 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 - 2*h**2 + 2*h - 3. Determine f(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2991 divide 26756076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1100158921*g*u - 2*u - 221717510 wrt g?\nAnswer: 1100158921*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((4\/(-4))\/(-1*2\/(-5)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 - (-4 - -10) - (1 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -77*h - 585. Determine b(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -0.2. Let f = 2.14 - 20.94. Let s = f + 6.8. Which is the nearest to s? (a) p (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 2*v**2 + 8*v - 5. Calculate h(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b**2 + b**2 + 11*b**2)*(17 - 4 + 6) to the form o*b + x + q*b**2 and give q.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -154977*g**2 - g. Let f(c) = -6*c. Give w(f(z)).\nAnswer: -5579172*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Let l = 13 + f. Let j = l + -9.3. What is the third smallest value in 0, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, 0, 2, 1.\nAnswer: -97, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -511291, -511945, -512597, -513247, -513895, -514541?\n\"Answer: l**2 - 657*l - 510635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26604 rounded to 2 dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 1 = 4*u. Let p(d) = 4*d**2. Let l(x) = -2*x**2 + 3058 - 3058. Give u*l(s) - 3*p(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(3653 - 2687 + 8347)*(1 + c - 1) in the form q + h*c and give h.\nAnswer: -9313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + c. Let p be (-1)\/((-15)\/7 - -2). Let u be p + (-1 - -1)*-1. Let h = 6 - u. What is n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 19. Let o(x) = 9*x**2 + 39. Let i(z) = 2*o(z) - 5*q(z). Let a(l) = 13*l**2. Give i(a(v)).\nAnswer: -338*v**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 90 + 75 = 0. Suppose 7*j + 300 = 12*j. Suppose 4*c + j = -c. Sort c, y, 2.\nAnswer: c, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164782?\nAnswer: 2, 47, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(72) + 2*sqrt(72)*-2)\/sqrt(3))\/(((-1*sqrt(160) - sqrt(160))\/sqrt(5))\/(sqrt(24)\/(1*sqrt(6)))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 84, 181, 278, 375?\n\"Answer: 97*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f - 61*f + 2 = 0. Let p(m) = -m**3 + 4*m**2 + m + 4. Let z(w) = w**3 - 4*w**2 - 2*w - 5. Let h(a) = f*p(a) - 3*z(a). Determine h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16503 - -16500. Which is the nearest to 186? (a) 0.4 (b) 1\/11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5879 - 1?\nAnswer: -587a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(((-3)\/(-8))\/(594\/(-264))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6103 (b) -2 (c) -0.6 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 15 = -3*r + 3*k, 0 = 2*r - 3*k - 9. Find the second derivative of -r - j**3 + 9 + 2*j wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/15 + 2)\/((-7)\/70). Let x(t) = 18*t**2 + 4*t - 21. What is the tens digit of x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2106 (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:22 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 107. Put 4, 3, -4, f in decreasing order.\nAnswer: 4, 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3320, -2805, -2290, -1775, -1260, -745?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 2, 0.6, -69\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20497\/3 + -6833. Put -1.2, -1\/16, -3, z in decreasing order.\nAnswer: -1\/16, z, -1.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/19)\/v*v**(-10))**40 assuming v is positive.\nAnswer: v**(-8280\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 29361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19694, -21114, -22534, -23954, -25374?\n\"Answer: -1420*i - 18274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-108)\/30)\/((-2)\/(-5)). Let h be (g\/(-12))\/((-1)\/(-96)). Calculate the greatest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -635061552?\nAnswer: 635061546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*g + 13 + 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - k - 5)*(-25 + 25 - 2*k**2) + (4 - 4 + 3*k)*(-3*k**2 + k - k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:11 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*600\/(-1375)*60\/(-36).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120996397?\nAnswer: 9281, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.049 (b) -1 (c) 3 (d) 1\/2 (e) -0.2 (f) 4 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) 5 (c) -0.0657 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4 - 1, 14 = 3*p - 2*s. Solve -5*u + u - 20 = 2*g, p*u + 4*g = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 164299674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 5. Let g be 74\/(-12) - (-23)\/138. Let l(q) = q**2 - 5*q - 6. Give g*f(w) - 5*l(w).\nAnswer: -5*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 324? (a) -4 (b) -145\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80099641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7943936 + 0.3?\nAnswer: 7943936.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12231 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-18)\/(-4)))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 5*d + d + 6*d**2 + (-d - 2*d + 2*d)*(0*d + 0*d + d) + 3*d**2 + d**2 - 3*d**2.\nAnswer: 8*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 12:47 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.5 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 2*d + 3. Let c be w(3). Suppose 2*g - 3*z = 31, -5*g + 81 + 5 = z. Suppose 3*s - g = 13. Solve c*q - s = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**5\/60 - y**4\/6 - y**3\/3 + 3*y. Let p(u) be the second derivative of b(u). What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = -i + 5, 3*i = 0. Suppose -3*k = 4*a + 2, q*a - 6*a - 3*k - 3 = 0. Let g(c) = -5*c**3 - 1. What is g(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -178 + 3*c**2 + 179 + 0*c**2. Let h be i(-1). Suppose 12 = 4*f, -325 = h*w + 4*f + 11. Round w to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 3252*g - 32428. Determine z(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + 35\/(-7) + -1. Suppose -892*w + 890*w + 1296 = i. Is 36 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6360\/(-11130))\/(((-88)\/21)\/4).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.835927l to millilitres.\nAnswer: 835.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v. Let a(c) = -10*c + 137. Let h be a(13). Let j(o) be the first derivative of 0*o + h + 1\/2*o**2. Give r(j(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1521 - 119 = 10*v. Is (v + 167)*2\/(-6)*-4139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12737.7 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 14*d + 11*d - 16 - 25*d - 2*d**2. Let p(u) = u**2 + 7*u + 5. Let t be p(-6). Give c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1862*g**3 - 1 + 358*g - 137*g + 23*g**2 + 1 - 161*g wrt g?\nAnswer: -11172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 + 13700*r - 41069. Give j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 66c060?\nAnswer: 66c06a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12\/7)\/m**(13\/5))\/(m*m*m*m*m*m*m**(-1\/3)*m*m)**(2\/27) assuming m is positive.\nAnswer: m**(-13841\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**4 + f**3 + f**2 - 2*f. Let l(p) = p**4 - 3*p**3 - 3*p**2 + 2*p - 2850. Let w(h) = 3*k(h) + l(h). Differentiate w(a) with respect to a.\nAnswer: -20*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -18*b**2. Let f(d) = 2*d**2. What is f(h(t))?\nAnswer: 648*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h*h**0))\/h)\/(h*(h*h**(-3\/4))\/h*h))\/(h\/(h**18*h)*h**(5\/9)*h))**(2\/21) assuming h is positive.\nAnswer: h**(547\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)**(6\/5)\/((c*c**0)\/(c*c\/c**5*c)))**(-24\/11) assuming c is positive.\nAnswer: c**(648\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 3*j - 5. Let c(b) = -4*b**2 - 7*b + 10. Let h be ((-10)\/(-4) - 2)*-6. Let y(t) = h*c(t) - 7*k(t). Differentiate y(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 - 35*c**3 + 2*c**2 - 76*c?\nAnswer: 48*c - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l. Let m(a) = -a**3 - 9*a**2 - 10*a - 17. Let f be m(-8). Let s be p(f). Let x(k) = 5*k**3 + k**2 + k. Let u be x(-1). Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(sqrt(209) + 2*(sqrt(209) + sqrt(209) + (-2*sqrt(209) - sqrt(209)))))\/(sqrt(704)*1*-3).\nAnswer: sqrt(19)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h + 37. Give g(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112590 divided by -90.\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1488*v + 4475. What is c(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14181 and 33176.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 - 0 - (-15 - (-112)\/16). Put 6, 0, -1, -2, g in descending order.\nAnswer: 6, 0, -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -225 (b) -8 (c) 0.12513\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -64159 (base 10) to base 9\nAnswer: -107007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = -3*l. Let p = 7 + l. Suppose 4*n - 20 = -4*i, -p*i - 3*i + 10 = 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001458516 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(77)*5*5)\/((sqrt(448) + (sqrt(448) - -2*sqrt(448) - sqrt(448)) - sqrt(448) - sqrt(28)) + sqrt(84)\/sqrt(3)*1).\nAnswer: 75*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 251.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.054.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 16*h**2 + 13*h - 25. Let f be i(-17). What is the greatest common factor of f and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.009, -1\/48, -1.09, -5?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17132067 divided by 27.\nAnswer: -634521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 61717870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6962846nm in kilometers?\nAnswer: 0.0000000000006962846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*p + 274, 6*u - 3*p = u - 337. Let s = u - -275\/4. Factor s*k**3 - 3\/4*k**4 + 0*k - 1\/4*k**2 + 0 + 1\/4*k**5.\nAnswer: k**2*(k - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.136 - -0.24. Let i = -0.09 + o. What is i rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmddd. Give prob of picking 3 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzz. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4490 by 74937.\nAnswer: -4490\/74937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 39603037?\nAnswer: -11880911.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 + -73.5. What is the nearest to -2\/37 in 4, -6\/7, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 51 = -4*h. Calculate the remainder when 67 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93345821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 266, 1053, 2364, 4199, 6558, 9441, 12848?\n\"Answer: 262*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7269*c + 18302 wrt c.\nAnswer: -7269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -177223 + 248?\nAnswer: -176864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, 4, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 - -840. Suppose -1997 = -4*j - 3*h, -8*j = -6*j + 2*h - c. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 7 - 23 = 18*u - 16*u + 5, -15 = 3*y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14377\/13 - 1106. Let w = -0.06 + -3.94. What is the closest to 1 in 3, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2548) - -1*sqrt(2548)) + sqrt(52))\/((sqrt(44)*1)\/sqrt(11)))**2 - ((3*sqrt(1573)*-2 - sqrt(1573)) + -3)**2.\nAnswer: -74161 - 462*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:39 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 less than -0.581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -146. Let l = 106 - t. Suppose 2*o + 307 = n - 44, -1047 = -3*n + l*o. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -946 + 1270. Let z = -44 + w. Calculate the remainder when z is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2796, 11287, 25472, 45351, 70924?\n\"Answer: 2847*h**2 - 50*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 11484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.26 (b) -0.2 (c) 7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 264\/(-110)*5\/(-2). Let w(n) be the first derivative of s*n + 4 + 3\/2*n**2. Determine w(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42985 is divided by 86.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 743410.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2550 and 19875.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 2 - (2 - 235\/1). What is the common denominator of s*1\/24 - -3 and 97\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/96*2*(-18)\/30)\/1\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 336, -115, 2 in increasing order.\nAnswer: -115, -1, 2, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1707668 - 1707666. Factor -w - 2\/11*n**2 + 24\/11*n.\nAnswer: -2*(n - 11)*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/63)\/(6\/(-462)). Let x = -69 - -168. What is the greatest common divisor of q and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5 = 5*j - o, 3*o + 21 = -3*j. Let v = -0.1 - -0.1. What is the closest to v in j, -5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -5*2*sqrt(187))\/(sqrt(44)\/(2*sqrt(4)) + sqrt(11)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsnnsxsnns. What is prob of sequence sn?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190369014?\nAnswer: 2, 3, 11, 2884379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 5*o - 9. Let p(g) = 4*g**2 - 9*g + 17. Calculate -11*f(k) - 6*p(k).\nAnswer: -2*k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 0 + 4)*(0 + 3 - 1) + 81 - 4 + 101)*(-2*m + 5*m - m)*(6*m - m - 4*m) to the form z*m + n + i*m**2 and give i.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 9. Let i be p(6). Let z(o) = o**3 - 13*o**2 - 2*o + 30. Let a be z(13). Solve h - 3*r = -3 + 4, 0 = 3*h + a*r - i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = 0, -3*p = -2*j - 0*j + 18. Let r = 3 - -1. Suppose -13 - j = -r*x, 3*s - 27 = -3*x. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453936 + 101415 = 203*n - 140533. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(42*b**2 - 42*b**2 - 11*b**3).\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 383, 1260, 2641, 4526, 6915, 9808, 13205?\n\"Answer: 252*d**2 + 121*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 376.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z. Suppose 0 = -3*m + 4*m - 4, s - 2*m + 8 = z. Solve u + 4*u = s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1948596 (base 11) to base 4.\nAnswer: -30203130332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458320 is divided by 298?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 36. What is the greatest common factor of 5 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -6.99. Let g = -21.99 + x. Let s = g - -21.6. What is the third smallest value in -0.2, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2118795241 - 90.68?\nAnswer: -90.4681204759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3701 - -3714. Let x = 25 - 4. What is the remainder when x is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, 2, 2\/29 in ascending order.\nAnswer: -4, -0.4, 2\/29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93578257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 228939822 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + x - x**4 + 3*x**4 + (-11 + 4 + 8)*(-5 + 5 - 14*x)*(23*x**2 - 9*x**3 - 23*x**2).\nAnswer: 128*x**4 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.747 + -29.947. Sort 1, -3, p, 8\/9, -3\/4 in increasing order.\nAnswer: -3, -3\/4, p, 8\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) 6497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1463 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 4390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n**2 - 226*n - 2600. Calculate c(-18).\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897.734ms to nanoseconds.\nAnswer: 897734000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.02 (b) -2073 (c) -1\/6 (d) 0.44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2773356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 23806.14294 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*k + 3, -4*k + 2*o = -5*k + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 60. Let p = -95\/3 + k. Which is the second smallest value? (a) p (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 + 76299*p\/4 + 57231.\nAnswer: -3*(p - 25436)*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48015 - -235?\nAnswer: 48250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.77 - -20425649.4?\nAnswer: 20425651.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = 6. Let y be (-3 - -6) + -4 + -1. Which is the closest to 0? (a) -0.4 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161961673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412468642?\nAnswer: 2, 13, 54325717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*c - 5183*c - 530*c.\nAnswer: -5332*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s + 11. Let h(q) = 5*q + 6. Let t(k) = 11*h(k) - 6*v(k). Let d(j) = j - 1. Let n(f) = -2*d(f) + t(f). Determine n(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 1, w: 5, s: 1, u: 1, n: 4}. What is prob of picking 1 s, 1 p, and 1 w?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/4 and -9\/5816.\nAnswer: 5816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -29106*i + 116355. Calculate y(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:23 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11881, -23742, -35591, -47422, -59229, -71006, -82747, -94446?\nAnswer: -106097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -90.5 * -1\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85240513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1895 = -6449. Suppose 35*t = 102*t + 85291. Let m = r + t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28252, -31084, -33916, -36748?\nAnswer: -39580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/45*-22*332\/(-1328) and -31\/795.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -50. Factor 41*n**2 + 3*n - 79*n**2 + 41*n**b.\nAnswer: 3*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 17. Suppose -2*c - 29 = -c - t*g, 5*c + 2*g = -233. Let n = 14 - c. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405688 divided by -1292.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 + 214948*p**2 + 5771459330*p - 208051201800 = 0. Calculate p.\nAnswer: -53755, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9263032 by 2315758.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -646581 (base 9) to base 13\nAnswer: -106555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2524784 to the nearest integer?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k**5\/k)))**(1\/4)\/((k\/((k\/(k\/((k\/(k*k**(-12)))\/k)*k))\/k))\/k**(1\/2)))**(2\/33) assuming k is positive.\nAnswer: k**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28149 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 114 (c) 0 (d) -29056 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94684.\nAnswer: 2, 23671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -167, -690, -1569, -2810, -4419, -6402, -8765?\n\"Answer: -x**3 - 172*x**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23572384 a multiple of 802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.427 - 0.627. Which is the fourth smallest value? (a) s (b) 3 (c) -45 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-15))\/(-7))\/(291414\/(-42855)).\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -123*k + 36 + 149. Solve 2*p = -13*a + 4*p + 44, -k*a = p - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2)*11 + 48\/(-32). Let z(o) = -22*o**3 - 7*o**2 + 7*o - 5. Let y(u) = -21*u**3 - 6*u**2 + 6*u - 4. Give a*z(f) - 5*y(f).\nAnswer: 17*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 2*n**6 + n**5\/10 + 119*n**4\/6 + 217*n. What is the third derivative of f(h) wrt h?\nAnswer: 1440*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99) + (sqrt(99) - sqrt(99)*-2)))\/(((sqrt(72)*-2 - sqrt(72)) + sqrt(72))\/sqrt(8)) + 5 + (sqrt(891) + 1 - sqrt(891))**2 + 5.\nAnswer: -8*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63639*x**4 - 496*x**2 + x + 54 wrt x?\nAnswer: 1527336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 186.1323141156 and -0.3.\nAnswer: 185.8323141156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1333450 + 2332204111\/1749. What is the common denominator of -55\/9 and p?\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 30 = -5*q. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**5\/10 - 2*z**4\/3 + 7*z**3\/6 + 11*z**2\/2 - 2*z + 1. List the prime factors of k(6).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 608 and 1674280?\nAnswer: 6697120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -192*u - 1. Let x(d) be the first derivative of 2*d**3\/3 - 554. Determine j(x(c)).\nAnswer: -384*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-40)*((-11)\/(-3) + -3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 + 8*k - 15*k + 22*k - 8*k**2 to n*k + z + y*k**2 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.5. Let t = -2.8 - f. Let j = t + 1. Which is the second smallest value? (a) -2\/7 (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)*u*u**7*u\/(u**0*u)*u**(-1\/3) assuming u is positive.\nAnswer: u**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16878852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5437197*n**4 - n**2 + 655400*n wrt n.\nAnswer: 65246364*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.1 (c) -112 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049559 is divided by 170.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 224 = 7*m. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 24358581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 17 = 2*y + 19, -36*k - 2*k = -34*k - 22 - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2254 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 11*w**2 + 5*w - 7. What is the units digit of c(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or -1.8?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26548300 rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*b - 2\/3*b**2 + 2\/9.\nAnswer: -2*(b + 1)*(3*b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2660654 (base 7) to base 12.\nAnswer: -14b07b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + 0\/(-1) + 11. Solve 5*l + 11 = -n, n = 2*l + p*n - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*h - 355 - 66, -2*h + 539 = -5*j. Let v = -30 - j. What are the prime factors of v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (2 - ((-1 - 0) + 4) - -8)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 2*t**2 + 0*t**2 + (48526 - 48526 - 223*t)*(-1 + 0 + 0)*(t - 6*t + 3*t).\nAnswer: -447*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102223040 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -63?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 93.6, 4\/65, 24?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239633 is divided by 2755.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -553?\nAnswer: -2765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98999043 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 4:49 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155376 = -77*h + 605287. List the prime factors of h.\nAnswer: 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 95876*0.2\nAnswer: 19175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 26 = l, 5*n + 3*l + 6 - 34 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 1 - 3 - 31*m + 5*m**3 + 4 + 27*m - 6*m**3 to u*m**3 + a*m**2 + o*m + v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a354 (base 16) in base 13?\nAnswer: -cc246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 745540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*j**3*r**2*w + 2*j**3*r + 2128*j**3*w + 2*j**2*r**2*w - j**2*r*w - 2*j**2*w + 5*j*w - 46*r**2 wrt r?\nAnswer: 82*j**3*w + 4*j**2*w - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23376853195 and -0.1.\nAnswer: 23376853194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 402 - -38. Suppose 3*g - 4*w = d, 2*g + w = -2*g + 555. Does 33 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 101*r + 3. What are the prime factors of z(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 658800 divided by 329400\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + l. Let f(z) = -2*z**2 - z + 4. Let h(c) = f(c) + w(c). What is the first derivative of h(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 30.6. Let b = 0.4 - d. Let g = 8 - 7.7. What is the nearest to g in b, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -2\/3*y**3 + 0 + 13\/36*y**4 - 6*y + 1\/18*y**5 - 2*y**2. Factor a(o).\nAnswer: 2*(o + 3)*(5*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a factor of 3934840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**3 - 16050*m**2 + 3291840*m - 174610080 = 0.\nAnswer: 108, 2994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1478, -2443, -4048, -6293?\n\"Answer: -320*d**2 - 5*d - 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-30) - 986\/102.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q**2 - 61*q - 7. Let x be p(-5). Let i(k) = -43*k - 80. Let f be i(x). Sort 4, -2, f, 3.\nAnswer: -2, 3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4742?\nAnswer: 2, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l + 24. Let q be k(4). Solve 5*h = -3*u + u + 11, 2*h - q = -u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**5\/5 - c**2\/2 - 246*c - 251. Find the first derivative of k(d) wrt d.\nAnswer: -4*d**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -166 and -4.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3084531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 13*s**2 - 2*s + 31. Let u be h(13). Solve -u*a = 10, 2*a + 4 = 5*n + 5*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2154*v - 90 = 2164*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/((-5880)\/(-416)))\/((-2)\/7).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -0.95. Let z = -10394.949944 - -10395. Let g = z - w. What is g rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10425*g**2 + 5694?\nAnswer: -20850*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 476 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-286*g + 132*g + 122*g)*(-g**2 + 4 - 14*g + 11 - 14) to the form v*g + d*g**3 + f + t*g**2 and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403199385 and 4170?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -186*k**3 - 4*k + 2*k - 9*k**4 - 367*k**2 + 540*k**3 + 369*k**2 in the form l*k**4 + v*k**2 + z*k**3 + u*k + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -4\/7, 14, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 171 - 156. Suppose -c - 15 = -15*u. Solve u*i - 4*p + 12 = 0, -2*i = 2*p + 3*p - 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1599615?\nAnswer: 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u**2 - 29*u + 13*u + 16*u.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {s: 1, g: 19}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - (-24)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, d: 8}. What is prob of sequence duuu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -8374086?\nAnswer: 8374083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 less than or equal to 167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 56535745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28981, 57870, 86763, 115660, 144561, 173466, 202375?\nAnswer: 231288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*l, 4*j + 5*l - 17 = 18. Suppose 0 = -5*b - 2*a + 4*a + 26, j*a = -3*b + 28. Solve x - 20 = b*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 96\/1361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7680*z + 7500*z + 8659 + 1241 = 0 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {l: 2, w: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 11*f**2 - 12*f - 12. What is the units digit of u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus -856165?\nAnswer: 856165.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12842919 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 184 = 2*x, -135 = 3*l - 3*x - 309. Let w be (-1 + 65\/l)\/(14\/42). Factor -1\/2*r**2 + 1\/4*r + 0 + w*r**3.\nAnswer: r*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 95035209 and -0.5.\nAnswer: 95035208.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 158462167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, -5, 1\/41?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 1.605?\nAnswer: -6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*r - 41*r - 13*r + (-2 + 2 + 1)*(2*r + 2*r - 2*r) + r + 2 - 2 + (3*r - r - 3*r)*(2 - 3 + 0) + 2 - 2 - r.\nAnswer: -62*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(12\/(-9)) + (-2)\/(14\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 34. What is w(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13547365 and 596625?\nAnswer: 7955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 7*a = -36 + 39 - 18, 4*a = -3*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.1271943 - -4.25.\nAnswer: -36.8771943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1156 and 329835122?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 24.9. Let d = -274 - -281.1. Let z = d + x. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660*y - 657*y + 105 = 4*a, 10 = 2*y. Solve a*d + 32 - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -23*j - 3. Let z(p) = 8*p + 1. Determine -4*d(i) - 11*z(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d - 88. Determine q(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 3*m**4 - m**3\/3 - m**2\/2 + 2*m + 13. Let q be h(1). Let w = q - -5. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240374.1437393 - 0.5\nAnswer: -240374.6437393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*t + 160, t - 3*m + 29 + 59 = 0. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/3999 and 50\/7?\nAnswer: 27993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 257*u + 2120. What is t(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 11. Let z be 4\/3*423\/6. Let n be z\/y - 4\/10. Solve -1 = -5*g + n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 3*m - 4. Let b be t(-4). Let d = -1.1 + 4.1. What is the smallest value in -3, b, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11023741 and -11023738 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 424\/1539, 5, 2.5, -0.11 in decreasing order.\nAnswer: 5, 2.5, 424\/1539, -0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-3 - (-2)\/2). Suppose 0 = 4*h + 4, -b*a - 3*h + 52 = h. Is (a\/4)\/(2\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -2\/3, -4, 0.224, 27, 17\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 197, 186, 159, 110, 33, -78, -229, -426?\n\"Answer: -f**3 - 2*f**2 + 2*f + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 6\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -693 * 0.0472.\nAnswer: -32.7096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 - 68. What is the highest common factor of f and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 + 541*i + 5. What is r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -283*r + 4525. Let n be c(16). Let q be (-182)\/6 + (-2)\/3. Sort q, 2, n, 4 in ascending order.\nAnswer: q, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 482945 by -154.\nAnswer: -482945\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246789\/(-96780)*1\/(12\/(-10)).\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(252) - (sqrt(252) + 5*(sqrt(252) - -2*sqrt(252)) + sqrt(252))) + sqrt(252))\/(1*sqrt(8)\/sqrt(2) + sqrt(4) + sqrt(12)\/sqrt(3)*-5).\nAnswer: -1 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*1505663.\nAnswer: 31618923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 686167159 to the power of 1\/2, to the nearest integer?\nAnswer: 26195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121021202 (base 3) to base 5.\nAnswer: -334443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/5)\/(2\/10). Suppose i = 4*k, 12 = 4*i - l. Let o = 4 - k. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -21. Let r(t) = -1500000*t**2 + t + 3. Let u be r(w). What is u rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -14*a + 260. What is the least common multiple of 6 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(11) - sqrt(110)\/sqrt(40).\nAnswer: 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -1 - (-1 - -2). Let t = 64 + -319\/5. What is the closest to h in 2\/3, 3\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1032112 (base 4) to base 10\nAnswer: 5014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-12)\/10*70\/21. Solve 0 = -4*y - 3*x + 10, 5*x + 3 = o*y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/60 + 2*f**5\/15 + 2*f**4\/3 + 61*f**3\/6 + 62*f**2. What is the hundreds digit of j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4797.448 millennia?\nAnswer: 47974.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 71 = -s, 0*p + 47 = 2*p - s. Solve -4*g + p = 2*i, -5*g + 2*i + 31 = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - 6*t**2 + 3*t - 6. Let o be u(3). Put 0, -0.5, o in ascending order.\nAnswer: -0.5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceyyyecee. Give prob of picking 2 e and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1901\/9 + -211. Let z = 282 + -323. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14251 - 363?\nAnswer: -14644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 187279 + 0*c**2 - c**2 - 187262.\nAnswer: 3*c**3 - c**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 20*x + 145. Give v(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693 = 2*v + 1997. Let j = v - -656. Solve -j*b = 2*b + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**4 + 2136*o**3 + 997420*o**2 + 82816800*o - 930006000 = 0.\nAnswer: -165, 10, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -221538, -443089, -664644, -886203, -1107766?\n\"Answer: -2*j**2 - 221545*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1700) - (sqrt(1700) + 0))*-5 - ((-4*(sqrt(272) + sqrt(17)))**2 + 1)).\nAnswer: -6805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49018 - -74052. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000709 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 73786 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: Expand (1 + 1 - 1)*(4*b + 0*b - 2*b)*(-7 + 34 + 55) + 10 - 8*b - 7 - 2.\nAnswer: 156*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4 + 1 + -6059)*(2 - (-30)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703, -463, -39, 575, 1385, 2397?\nAnswer: 3617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -454.6481124 - -415.64811549. Let o = -39 - w. Round o to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2322202 + -3?\nAnswer: -2322211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -1\/3, 5.67, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11011 (base 2) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9643*j - j**2 + 9643*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.08, -10, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5\/2 (b) -2 (c) -329 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 427*r - 92*r + 22 - 92*r - 85*r - 103*r to n + h*r and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-174)\/54 - 310\/(-180).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 2*b + 49.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -2 (c) -1177\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4189 = -3*t, -197*t + 189*t + 8336 = 4*y. Calculate the lowest common multiple of y and 176.\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55696121 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 87*1052\nAnswer: 91524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 1.1 (c) -1\/8 (d) -2 (e) 44 (f) -1\/2 (g) -19\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1404 and 335124.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -4, 3 in descending order.\nAnswer: 3, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/((-18)\/6) + (-3 - -2). Solve 5*c = -f*a + 25, 2*a - a - 2*c = 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 12. Let n be l(5). Let j = 4 + -4.3. Let k = -0.2 - j. What is the biggest value in k, n, -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 6, -t + 47 = -0*h + 3*h. Suppose -2*c + t = 2*c. Suppose p - 17 = c. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 89, 187, 321, 491, 697, 939?\n\"Answer: 18*r**2 + 8*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*k + 3 = -0*n, -31 = -5*n - 4*k. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2 - 3*y - 8. Let k(c) = -c**2 + 13*c - 8. Let q(f) = -6*f + 3. Let p(h) = 4*k(h) + 9*q(h). Calculate 8*p(d) - 5*v(d).\nAnswer: -2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 271 - 275. Let a = b - -88. Calculate the remainder when a is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 = -3*g + 5*g, 0 = 5*t + 3*g - 18. Determine m so that 0 - 1\/2*m**5 - 7\/6*m**4 + 0*m**t + 0*m + 2\/3*m**2 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) 611\/3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86955, 87048, 87141, 87234?\nAnswer: 87327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 19 = h - 2*h, -4*h - 5*m = 21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.503647\nAnswer: -2.014588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5653, -5652, -5651, -5650, -5649, -5648?\n\"Answer: c - 5654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1150275*b - 683785?\nAnswer: 1150275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2 + 9*w - 2. Let a be l(6). What is the highest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {h: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 503118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2*c - c - 5.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2162 + -2162. Solve -14*f + 24 + 18 = a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -13 (c) 4 (d) -6020\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11700\/(-447525)*(-18)\/(-4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 5 = 0, -4*j - 2*a + 30 = 0. Solve 5*o + 3*z - 15 = 2*z, -2*z + 20 = j*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31 + 1\/(-3*(-3)\/(-18)). Is a not equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621169248.\nAnswer: 2, 3, 7, 924359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*12\/72*2\/(-5). What is the second smallest value in s, -9, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2) - 66\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.5, -13715?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/5))**(-39)\/((o\/((o\/(o**2\/o))\/o))\/((o*o**(-21))\/o)) assuming o is positive.\nAnswer: o**(-349\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64.1 - -70. Let u = y - 6. Sort 0.4, 2\/3, u.\nAnswer: u, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 3 - 4*g + 0*g**4 + 31\/3*g**3 + 53\/20*g**5 + 0*g**2. What is the second derivative of b(l) wrt l?\nAnswer: 318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (328\/(-369))\/(15\/45)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -5 - 1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58420 divided by -2\nAnswer: 29210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -6 + -1 + 0 + (7 - 8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46106*y + 46139*y = 627 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, s: 13}. What is prob of sequence slll?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.006686703+-4.17451\nAnswer: -4.181196703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.4285.\nAnswer: 0.21425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 - -15434988346.\nAnswer: 15434988346.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*-866\nAnswer: 3464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 + 222*s**3\/5 - 91*s**2 - 1572*s\/5 - 896\/5.\nAnswer: (s - 4)*(s + 1)**2*(s + 224)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 227744 or 227779?\nAnswer: 227779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1749 and 1721665462?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 46*v**4 + 5*v**3 - 41*v**2 + 10. Let x(m) = -47*m**4 - 4*m**3 + 41*m**2 - 8. Let k(w) = -4*h(w) - 5*x(w). Find the third derivative of k(j) wrt j.\nAnswer: 1224*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155420123224 - 0.4?\nAnswer: 1155420123223.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**3 - 3*h**2 - 1. Let n(x) = -x**3 - x**2 - 1. Let k(q) = -f(q) + n(q). Find the third derivative of k(u) wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4083.0479*4.\nAnswer: 16332.1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8479 is divided by 1171?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -5*a, -4*a = 2*j - 16. Suppose -j*c = -13 - 67. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 2, h: 4, z: 2}. What is prob of sequence uu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -38c?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = -5. Suppose -n = m - 2*n - 5, -5*m - 5*n = 5. Let v(z) = -135*z - 55. Let p(a) = -5*a - 2. Let l(k) = m*v(k) - 55*p(k). Determine l(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.570337 rounded to two dps?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -0.6 (b) 2\/3 (c) 3684.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2299304 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 66*l - 64. Let r be d(1). Let p(y) be the third derivative of 0*y**3 + 5*y**r + 0 + 0*y**4 + 1\/6*y**5 + 0*y - 1\/8*y**6. Factor p(o).\nAnswer: -5*o**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 4*x = -1637143, 2*n + 31*x = 34*x + 363818. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -10 - (-10 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2. Let f(y) = 179*y**2. Determine k(f(o)).\nAnswer: 32041*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -551922, -551967, -552012?\n\"Answer: -45*y - 551877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32974*a**3*d + 5*a**2 + a*d - 3*a + 320*d wrt a.\nAnswer: 197844*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -10*f + 1. Suppose 3*l + f = 13. Calculate the remainder when 7 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 68. Suppose 5*h = 6*h - 3*s - j, -2*s = -2*h + 102. What is the greatest common factor of 16 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.131 equal to -837.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l - 95*l + 4*g + 15 = 0, 5*g + 45 = 9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 1. Let m(z) = -2*z - 6. Let p(q) = -3*k(q) + m(q). Let f be p(5). Suppose -3*u + 65 = -d + f*d, 5*u - 285 = -5*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68 - 202 + 41)*(-n**2 + 14*n**2 - 3*n**2) as b*n**2 + a + m*n and give b.\nAnswer: -2290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -909 + 904. Let d be (2\/(-3))\/((-2)\/(-6)). Let s = -5.6 + 6. Which is the nearest to d? (a) y (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -6*l - 3*z - 28, l = -z - 7 + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -13927, -33.\nAnswer: -13927, -33, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3058*x + 2025. Let l(s) = -6126*s - 4049. Let d(o) = 2*l(o) + 5*m(o). Differentiate d(n) wrt n.\nAnswer: 3038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 36, 5, -2, -1170, -5 in descending order.\nAnswer: 36, 5, 4, -2, -5, -1170","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9171886 is divided by 1528644?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*d = 15, -d = 2*w - 8 - 16. Suppose 0 = -h + 5*h - 192. Let q = h - 15. What is the greatest common divisor of w and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:42 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 + 0 + -3. Let l be ((-231)\/(-9) - -3)\/(2\/(-9)). Let k = l - -124. Is s greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-1\/2)\/h)\/h*h)\/h)**11\/((h\/((h**(-1)\/h)\/h)*h)\/(h*h**(3\/2))))**8 assuming h is positive.\nAnswer: h**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.8 times -1?\nAnswer: -328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 578009496 to the power of 1\/3, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 30 = 4*l. Suppose -2*v + 3*v + l = 0. Let d(h) = -h**2 - 14*h - 11. What is the common denominator of d(v) and -93\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14*c**2 + 1209*c - 14257. Calculate x(12).\nAnswer: -1765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 9:06 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 95, 335, 807, 1589, 2759, 4395?\nAnswer: 6575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*m**3 + 7 - 473*m**2 - 493*m**2 + 951*m**2 - m in the form a*m + d*m**2 + t*m**3 + g and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 31*a - 3966. Let j(w) = -2*w**2. Calculate v(j(s)).\nAnswer: -4*s**4 + 62*s**2 - 3966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2166308, -2166301, -2166294?\n\"Answer: 7*p - 2166315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -19. Let q be ((-11)\/((-418)\/(-6)))\/(9\/6). Sort q, -3\/5, r in decreasing order.\nAnswer: q, -3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 12312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567803?\nAnswer: 83, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 261 (c) 0.4 (d) -0.05 (e) -3\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*30\/(-9))\/(-2). Suppose 3*s + 0*s - i*n + 60 = 0, 4*s + 2*n = -106. Let x = 21 + s. Which is the smallest value? (a) -1 (b) -1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5\/3 - 455*b**4\/3 - 10475*b**3\/3 + 15535*b**2\/3 + 873400*b\/3 - 3146000\/3 = 0. What is b?\nAnswer: -44, -13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8443.6 in -1, 25, 2\/3, -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -97.4. Let q = k + -14.1. Let c = 0.66 + 0.04. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 + 1 - 4 + 0*b - 3*b + (3*b - 2 + 2)*(-20*b + 20*b - 14*b**2).\nAnswer: -39*b**3 - 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1744, 3687, 5816, 8143, 10680?\n\"Answer: 2*m**3 + 81*m**2 + 1686*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4 - 276340*r**3 + 552695*r**2 - 276350*r = 0 for r.\nAnswer: -55270, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = 13. What is the units digit of -3 + t\/(14\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -13. Let z(k) be the third derivative of -k**4\/24 - k**3 - 3*k**2. Let n be z(f). Solve -n*a = -5 - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102 - 27*c**4 + 40*c**4 - 33*c**4 wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/236)\/((-227)\/50848*-392)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cif when three letters picked without replacement from izcdzfpdiipdzfzf?\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4978647 to 2 dps.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*s = 151*s - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 52\/(-16) - 3\/12. Suppose x*j + 16 = 14*j. Suppose 0 - 15 = -5*c. Solve j = 5*t - c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 99 = -73*h. Let n(q) = -6*q - 3. Let r be n(-2). Let d be (r + 4)\/(-1 + 3 - h). What is the highest common factor of d and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34330161.\nAnswer: 3, 41, 79, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(j + 0*j + 3*j)*(211 - 98 - 85)*(1 - 2 + 0 - j) in the form r + i*j**2 + v*j and give v.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 72 = -5*l. Let c be 1\/8*2 - 46\/l. Solve -6 = -3*m + c*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 314 - 706. Let w(h) = 5*h**2 - 2*h + 1. Let x be w(1). Suppose m = n + x*n. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a factor of 2122887785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 23. Suppose 0 = -5*p + 2*p + 30. What are the prime factors of z(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10460 is divided by 616?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 14 = -4*k - f, -2*f + 9 = k. Suppose -92 = -k*v + 278. Suppose 4*x = 3*x + v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 79751074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + i + 2. Let c be o(0). Let t(h) = 14*h**2 - 16*h**c - 4 + h + 0*h. Let j(f) = f**2 + 3. Let b(x) = -3*j(x) - 2*t(x). Give b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38050519, -76101028, -114151537?\nAnswer: -152202046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -3\/5, -0.05391 in descending order.\nAnswer: -0.05391, -1\/7, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2227, 2236, 2245, 2254, 2263?\n\"Answer: 9*x + 2218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 34.1929, -3 in ascending order.\nAnswer: -3, 4, 34.1929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14355\/3132*(-142)\/(-55). Factor -12 + m*d + 1\/6*d**2.\nAnswer: (d - 1)*(d + 72)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -7*d + 3*d - 12, 16 = 5*c - 4*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1534833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + n - 3 = -0, -4*n + 12 = -4*o. Let r = -265 + 2917\/11. What is the closest to 0.2 in r, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12438, -24846, -37254, -49662?\nAnswer: -62070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(24\/50) + 0 and 568\/(-66)*21\/(-56).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u - 10. Let x(y) = -51*y - 42. Let v(w) = 21*a(w) - 5*x(w). Let g(m) = 2*m - 2. Calculate v(g(c)).\nAnswer: 6*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16140493, -32280995, -48421495, -64561993, -80702489, -96842983?\n\"Answer: w**2 - 16140505*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 488 and 2256.\nAnswer: 137616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -693 - -695. Let d(j) be the second derivative of -1\/2*j**4 + 4*j + 1\/4*j**5 + 0 + 0*j**u + 0*j**3. What is the third derivative of d(a) wrt a?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 60 = -4*x, 11*u + 13*u + 40 = 4*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-4)\/7)\/((-110)\/(-77))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 - 3*a - 1. Let f = 30 + -31. Is 9 a factor of h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 688 = -2*h - 6*u, 5*h = -5*u + 1720. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 1 - 9. Suppose -i + 5*b = 4 + 9, -3*b = 3*i - 33. Solve i*k = 2*k + s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2. Let k(b) = -9*b + 48*b**2 - 6*b - 44*b**2 + 11*b + b. Give w(k(x)).\nAnswer: -32*x**4 + 48*x**3 - 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-56) + (-1)\/(-2). Let p = 0.8 - 1.1. Put 4, l, p in descending order.\nAnswer: 4, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 5. Let t be r(-6). Let n(a) = -a**2 + 8*a + 4. Let k be n(7). Let u = k - t. Is -2\/13 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + sqrt(245) + -4).\nAnswer: -8*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -741*c**2*g**2*j**2 - c**2*g**2 + 2*c**2*j**2 + 2*g*j + 13*g + 6 wrt g.\nAnswer: -1482*c**2*j**2 - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - (-7 + -1)) + 3 + 1. Which is the closest to 2? (a) 22 (b) x (c) -0.3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 982, 1962, 2944, 3928, 4914, 5902?\n\"Answer: m**2 + 977*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:18 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syss when four letters picked without replacement from zgyzsizssog.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - v = -18, -3*m - 105 = -v - 57 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0 - 18 = 0. Solve h*s - s = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -100, 4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2416, -1947, -1170, -91, 1284, 2949, 4898?\n\"Answer: -f**3 + 160*f**2 - 4*f - 2571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 + -1.6. Sort -5, p, -0.3 in descending order.\nAnswer: p, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 748243215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -777 + 747. Let w be (5 - 11)*125\/v. What is the highest common factor of 20 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92.1 + 92. What is the closest to 3 in 0, -2\/7, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 28 - 108 = -4*t, 87 = 3*j - 44*t + 41*t for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 4:48 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11793*g*l*o + 1408*g*o + 990*l - 489*o + 1 wrt l.\nAnswer: 11793*g*o + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -834 + 4.168898?\nAnswer: -829.831102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902 divided by -4.\nAnswer: -451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 16) to base 5\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*o - 24 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 + 10 = -3*c. Let f be (-80)\/c*15\/(-2). Let q = f - -186. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 8*o**2 + 8*o. Let d be k(7). Let j be 1\/(2 - (-7)\/(-3)). Let w = -2 - j. What is the highest common divisor of d and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 40*n + 3. Let p = 198 - 125. Let a = -72 + p. What is the remainder when q(a) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(72)) + 0 - (sqrt(72)*-2 + 2 + -5*sqrt(72)*-2).\nAnswer: -30*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252269410.73 - -0.0339.\nAnswer: -252269410.6961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - 2 + 2)*(-262 - 304 + 421) to the form w*c + z and give w.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/36)\/(((-114)\/(-36))\/19).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/31, 1326, -0.3, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18715491577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 26 + 69*g - 32.\nAnswer: 69*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5837717, -11675438, -17513157, -23350874, -29188589?\nAnswer: -35026302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Let b(i) be the third derivative of i**5\/15 - 5*i**4\/24 + 3*i**2. Let k(o) = -b(o) - 5*m(o). Differentiate k(t) with respect to t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-416*b - 2 + 394*b + 1)*(45*b - 372*b - 89*b) to v*b**2 + o*b + y and give o.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10352, -1, 2, -2, 1, -3 in ascending order.\nAnswer: -3, -2, -1, 1, 2, 5, 10352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138955*u**2 + 69475*u**2 + 69477*u**2 - 143.\nAnswer: -3*u**2 - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6649 - -6646. Sort d, 22, -4, -5, 1 in decreasing order.\nAnswer: 22, 1, d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -123201334?\nAnswer: 123201324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19622855147 and -19.04?\nAnswer: 19622855166.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9932206*n**4 + 4753*n**2 + 4*n + 23?\nAnswer: -238372944*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*-6*sqrt(27)*5)**2 - (sqrt(450)*3)\/(sqrt(6) - -1*sqrt(18)\/sqrt(3)).\nAnswer: -15*sqrt(3)\/2 + 388799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 21 = p - 2*k, 2*p = -3*k - 2. Let z(i) be the first derivative of 15*i**4 - 15*i**4 - 2*i + p - i**5. Find the first derivative of z(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekjkekee. What is prob of sequence ke?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 9, -0.179, 3, 2 in decreasing order.\nAnswer: 9, 5, 3, 2, -0.179, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, a: 7}. What is prob of sequence aaaa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:27 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**8\/168 + 101*j**6\/30 + 1421*j**5\/60 + 253*j**2 + 2*j. What is the third derivative of l(q) wrt q?\nAnswer: -120*q**2 + 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p + 14. What are the prime factors of s(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -474 - -462. Let y be 719\/6 - 1*2\/j. What is the greatest common divisor of y and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (22 + 2 + -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10798819928 to four decimal places.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9300 - -9300. Solve -40*s = -39*s - 5*t + 10, c = -t + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103113 - -1102013?\nAnswer: 2211132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3938, 3951, 3964?\nAnswer: 3977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 + 25*j - 19. Let v(b) = 5*b**2 + 26*b - 19. Let s(q) = 6*p(q) - 5*v(q). Let a be s(19). Solve -2*r - 3*r = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-m**4 + 3*m**4 + m**4) - 13*m**4 + 13*m**4 + 7*m**4.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24215312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 851358773 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -0.4, -0.3, -0.2, -58375?\nAnswer: -58375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 772 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 961*g + 435*g - 295*g + 799*g - 304*g.\nAnswer: 1596*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: cea8 (base 16) to base 10\nAnswer: 52904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1591 - 1585. Let i be (-3 - (-51)\/15)*25. Solve 11*g + i = h*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1565, 0.2?\nAnswer: -1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*q + 2. Let d(h) = h**2 + h. Suppose -5*o + 20 = 3*a, 3*a = -3*o + 2*o + 16. Let y(t) = -3*t + 3*t - t**2 + t. Calculate o*d(g) + q*y(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177359 and 5847?\nAnswer: 532077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/20)\/h*(h**(-24)\/h)\/h)**(4\/11) assuming h is positive.\nAnswer: h**(-537\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21784769581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 24*c + 344. Let a be j(-14). Let i(v) = 8*v - 67. Give i(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -403543?\nAnswer: 403551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 5*q**2 - 272*q + 1988. What is d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) - (-136045)\/46. Calculate the greatest common factor of p and 2152.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 6*t - 1. Let s be d(4). Let a = s - -29. What is the remainder when 4\/(-2) + (0 - a) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960*i**2 - 960*i**2 - 7*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1990758 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 16, -2.718, -0.6, 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10401 + -8?\nAnswer: -10409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 163481 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3010301012 + -10?\nAnswer: -3010301022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 t when four letters picked without replacement from {n: 4, t: 5, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14506, 29032, 43570, 58126, 72706, 87316, 101962, 116650?\n\"Answer: i**3 + 14519*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**2 - 5728*p = 0. Calculate p.\nAnswer: 0, 1432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 + 796*t - 796*t - 1.\nAnswer: -7*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1531*r + 1524*r = -147. Let q(s) be the first derivative of r - 1\/12*s**4 + 1\/3*s**3 + 1\/6*s**2 - s. Find u, given that q(u) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5332847169 and 81.\nAnswer: -5332847088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - 3*h**3 + 3*h**3 + (0*h - h + 3*h)*(27*h**3 - 63*h**3 + 8*h + 27*h**3).\nAnswer: -17*h**4 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvwwvwvvvvwv. What is prob of sequence vw?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -206.21, 2\/17, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 2*z + 1. Let w be h(-4). Suppose 4*m = -5*c + 45, 4*m - w = 3*m - 4*c. Calculate the smallest common multiple of (m\/10)\/((-5)\/(-180)) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128336049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27186 + 15958177\/587. Which is smaller: x or 0.02?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 496? (a) 1 (b) 0.2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 594013 equal to 594011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -143 - 3?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*x + 2226499 = 2197956 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1952?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 395 and -0.12.\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000791859286 to seven decimal places.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**2 + 150*y - 478*y + 2*y**2 + 257*y to the form j*y + g + f*y**2 and give j.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 264. Is 33 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**4\/3 + 28*f**3 + 92*f**2\/3 - 28*f - 88\/3 = 0.\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(14 + -1)*-36. Let n = -183\/52 + l. What is the third biggest value in -2\/11, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51\/4079 or -1?\nAnswer: 51\/4079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 9*f + 9. Let g be 248\/16 - 2\/4. Let d = -22 + g. Let u be t(d). Sort u, 2, 3 in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34072 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q - 50*q - 42 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 38*o + 111.\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*z - 4*u, -4*z = 3*u - 9 - 36. Suppose -6*n - 120 = -z*n. Suppose -p = -2*t - n, 3*p = -p - 3*t + 135. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278552730 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001878737 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 47 (b) -0.4 (c) 0.5 (d) -2\/87 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 40*w + 645. Let t be f(-16). Which is the closest to -0.2? (a) 1\/7 (b) 10\/3 (c) t (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -152 + 155 + (-5 - (4 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 16 = 4*d. Let j be 6\/(-24) + d\/8 + 21. Suppose 1563 + 3687 = j*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13735?\nAnswer: 5, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (252\/30 - 6)\/(14\/(-10)). What is the closest to 2 in 5, -5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/10459 - 554295\/334688. Find the common denominator of t and 53\/1068.\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 80\/288*-3 - 1\/3*-2. What is the closest to 12 in -5\/2, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1360924487 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 7*x. Let n(r) be the first derivative of 1\/3*r**3 + 0*r - 1 - 3*r**2. What is -5*b(d) + 6*n(d)?\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250610 - -0.19.\nAnswer: -250609.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 21. Let a be v(-11). Which is smaller: 3\/70 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1 - 3 + 6 + 31*v - 36*v. Let f(r) be the first derivative of 3 - 1\/2*r**2 + r. Calculate 3*f(w) - y(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24864162?\nAnswer: 2, 3, 569, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -64465479 divided by 1\nAnswer: -64465479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0095061312 take away 300?\nAnswer: -301.0095061312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 68 = -2*q + 3*q, 3*q - 4*x + 140 = 0. Let i be 24\/(-36) + q\/(-6) + 0. Let g be (-11)\/(-44)*((-6)\/i)\/3. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 126?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -120. Suppose x*m + 4*r + 13 = 3*m, -3*m + 2*r + 5 = 0. Let a(i) = 11*i - 2. What is a(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 - ((-1 - 641) + -9) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by 1.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 s when four letters picked without replacement from {s: 2, u: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbl when three letters picked without replacement from {d: 8, l: 6, b: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/79 in 0.038, -0.2, 2, 0.09?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2525931247?\nAnswer: 7, 17, 3461, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, 16, 55, 110, 181, 268, 371?\n\"Answer: 8*s**2 - s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054156170.\nAnswer: 2, 5, 13, 29, 101, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 8*s - 20 = 0. Let z(n) = -9*n - s*n + 8*n. Let w(g) = 4*g - 19. Let q be w(5). Give z(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 883 - 1781 - 10*s + 884. Give t(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423739 - 4*s**3 - 423739.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 45*y**2 + 76*y + 112. Determine s(-21).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 15, 11, -25, -111, -265?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6*y = 9*y + 15, 25 = 2*x - 5*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 2*x**3 + 3*x**3)*(0*x - 2*x + 6*x) + (-4*x**3 + 3*x**3 + 2*x**3)*(0 + 0 + 2*x) - x**4 + x**4 - x**4.\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -6\/31, 0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622 = -379*p - 5170 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 304502 - -421?\nAnswer: 305223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -646, -648, -652, -658?\n\"Answer: -b**2 + b - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/370 - -71\/370. What is the smallest value in c, -3, 1\/4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-21) - (2 + -3) - (-3774)\/(-14). Put d, 0, -7 in descending order.\nAnswer: 0, -7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1539) - (sqrt(1539) + sqrt(1539) + 2)) + -1 + -1*sqrt(1539)*-2))**2.\nAnswer: -1350*sqrt(19) + 38700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6801325 to the power of 1\/2, to the nearest integer?\nAnswer: 2608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 122.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 19 = 100. Is 79808\/(3 + 5) + a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = z - 4. Let p(q) = q**2 - 10*q + 16. Let j be p(15). What is the greatest common divisor of j and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 5*d, 4*u + 105 = -d. Let w be (9\/(-2))\/(u\/10). Is w smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5745*n**2 + 3027. Let m(v) = -v**2 + 44. Let r(a) = 6*m(a) + z(a). What is the first derivative of r(u) wrt u?\nAnswer: 11478*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351775 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 0)*(0*i - 2*i + 0*i + (3*i - 4*i + 0*i)*(3 + 1 - 5) + (1 - 2 - 1)*(0*i + i - 3*i) - 2*i + 2*i + 2*i) to the form t + j*i and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/((-57)\/190). Which is the nearest to 0.1? (a) -1 (b) 0.04 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 3776493?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -36813709 smaller than -36813707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 96096 divided by 24024\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001 + -11101110100100111?\nAnswer: -11101110011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p**2. Let n(h) be the third derivative of h**4\/2 + 11*h**2 + 8*h. Determine d(n(o)).\nAnswer: -1152*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.30000173 - -43.3. Round t to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*q - 20 = 0, -2*q = -4*s + 3*q + 22. What is the least common multiple of 40 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28284.67634 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 3*l + 3. Let r be u(3). Let t be -4 + 1 + 39\/r. Suppose h = -t + 13. Solve 2*y - 4*a = 22, h*a = -4*y - y - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2943 divided by 15.\nAnswer: -981\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((1*sqrt(891) + sqrt(891))*-6 + 4 + sqrt(891)*-2) + -1*sqrt(891)*1 + 2 + (1 + sqrt(891) - sqrt(891)) + 4)**2 + -2.\nAnswer: -7830*sqrt(11) + 749554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3311*f**3 + 0 + 3633*f**3)*(2*f - 25*f - 7*f)*(-3 - f + 3).\nAnswer: 9660*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*f**2 + 3*f - 149.\nAnswer: 50*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/((-5)\/(-20)*8). Let c(m) be the first derivative of m**3 + 2 + 0*m**5 + 0*m**2 + j*m**6 + 0*m**4 + 0*m. Find the third derivative of c(h) wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*i**2 - 435*i**2 + 861*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174\/21 - (-6)\/21*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(240)*4)\/(sqrt(50)\/(-6*sqrt(10)*1)).\nAnswer: -192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023 is divided by 1508.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaabaaaaaaaaaaaaa. Give prob of picking 2 a and 1 b.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 5*u**2 + 52289*u - 366132. Give l(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62b9c + 1?\nAnswer: 62ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*r + 120. Solve 4*s + 4 = 2*v, -4*s - r = 5*v - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/20993 or 1?\nAnswer: 10\/20993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -15*b + 6*b. Is 13*(-1094)\/(-4)*(-4)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6904 times -1876?\nAnswer: 12951904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 418.\nAnswer: -5\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 129, -7, 38, -3, 31 in increasing order.\nAnswer: -9, -7, -3, 31, 38, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405148 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-35))\/(2\/(-28)). Let u be 3\/n - (-46)\/(-120). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(((-4185739950)\/33220175)\/21 + (1 - -5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -149, -324, -523, -746, -993, -1264?\n\"Answer: -12*r**2 - 139*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1777588599310224103\/298680 - 47611854789261\/8. Let n = -711776\/285 + j. Let w = 7\/393 - n. What is the common denominator of -25\/21 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2453*z**2 + 2147*z**2 - 5054*z**2.\nAnswer: -454*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0*i**5 - 6*i - 1\/21*i**7 + 0*i**2 - 5\/12*i**4 + 0 + 0*i**6 + 0*i**3. What is the third derivative of c(d) wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/(-13))\/(-2 + (-202)\/(-102)). Suppose -u = 3*q - 6*q. Suppose 23*k = q*k + 594. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -22*l**2 + 3*l + 21. Suppose -8*x + 3*x - 23 = 4*d, -2*x - 2*d = 10. Let s be a(x). Round s to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a - 1\/6*a**4 - 10 - 1225*a**2 - 70\/3*a**3. Suppose i(g) = 0. What is g?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 2\/3 (b) -0.2 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2.1*-0.056082\nAnswer: -0.1177722","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z + 454 - 454.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100000 - 110100110?\nAnswer: -10010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2979, 3152, 3431, 3810, 4283?\n\"Answer: -z**3 + 59*z**2 + 3*z + 2918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 8*o + 5*o + 21*o**2 + 2*o - 206*o**2 to d*o**2 + n*o + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -8*u - 237. Let p = u - -42. Solve -q + p = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*l - 8492, -14*s - 4*l = -17*s + 6370. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7829 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34003 (base 7) in base 4?\nAnswer: 2012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24882 - -24832.932. Let t = 51 + g. What is t rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6850000 rounded to the nearest one hundred thousand?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqcrccccccqcr. Give prob of picking 1 r and 2 c.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737123 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/15927 and -37\/5309?\nAnswer: 15927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o**2 + o - 1. Let f be l(1). Let n = f - 6. Let y be -6 + 5 + 6 + n. Calculate the greatest common factor of 42 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {l: 5, o: 1, f: 1, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-38))\/(4 + (-28)\/6). Let l = 74\/57 + b. Factor 0 + l*x + 1\/3*x**2.\nAnswer: x*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (6*(sqrt(228) + ((2*sqrt(228) - sqrt(228)) + sqrt(228) - sqrt(228)) + sqrt(228) + sqrt(228))*2)\/((sqrt(12) + (-2*sqrt(300) - sqrt(300)))*1))*-2.\nAnswer: -4 + 48*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 + 2*t + 7. Let n be q(-4). Let j be n*((-5 - -157) + 2). Which is smaller: -152 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 2. Let u be y(0). Solve u*v = 3 - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = m - 16, 0*x - 7 = 3*m - 2*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3 + 3*l - 2 + 6*l**2 - 2*l + l**3. What is n(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098\/((-7497)\/(-14826) - (3\/(-6) - -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 1768.\nAnswer: 12376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51768.32 decades to years.\nAnswer: 517683.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354818207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -138\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 24*s + 25*s + 27434002, -34292498 = 5*l - s. Round l to the nearest ten thousand.\nAnswer: -6860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 5526497*s**3 - 10180721188170*s**2 + 6251519355624315628*s + 6251529536351030296.\nAnswer: -(s - 1842166)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*y + 2*x + 49, 0 = 2*y + 3*x - 40. Let a(j) = 11*j - 183. Let g be a(y). Calculate the greatest common factor of g and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 81*p + 1. Let u(x) = -31*x**2. Determine u(d(q)).\nAnswer: -203391*q**2 - 5022*q - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1245469 - 1245469 - 520*r**2 as d*r + v*r**2 + i and give v.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*m - 60, -28 = -2*a + 3*m + 27. Let v(o) = -a*o + 0 - 16*o + 0. Let s(w) = -415*w**2 + 750*w**2 - 337*w**2. Calculate s(v(f)).\nAnswer: -2592*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2086, -4175, -6264, -8353, -10442, -12531?\n\"Answer: -2089*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 849583565 to the power of 1\/3, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 206, 480, 874, 1394, 2046?\nAnswer: 2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 + 2*g + 2. Let u be (-96)\/56*7\/(-2). Let n(d) = -4*d**2 - d - 2. Let j(x) = u*n(x) + 5*l(x). Calculate j(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1879868 divided by -4.\nAnswer: -469967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10103 - 10076. Solve -l - 1 = z - 5*v, z + 4*v = 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 313.99999783 - 314. Round u to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s + 104. Let n be w(-21). Suppose -295 = -5*b + n. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(2\/5)*x*x))**(-2\/5)\/(x*x**(-5)*x*(x*x**(3\/7))\/x)*(x**(-2))**0\/(x*x**(-2)*x**(-8)) assuming x is positive.\nAnswer: x**(2123\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 630*p + 632*p = -51, 5*p = -15 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1863 and 59\/378189.\nAnswer: 378189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3 = -5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -0.0757, -3, -5, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(144)*4 - sqrt(144)*-2*4)\/(-5*-2*sqrt(363)))**2.\nAnswer: 110592\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, -5, -1\/6 in ascending order.\nAnswer: -5, -1\/6, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 908 and 120?\nAnswer: 27240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 2*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1349 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2262 and 2?\nAnswer: 4524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -18*x - 447. What is j(-35)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -661*i**2*k*s**2 - 378*i**2 - 10*i*s**2 - 2*i + 2*k*s**2 - 4*k*s wrt k.\nAnswer: -661*i**2*s**2 + 2*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w**3\/w)\/(w\/(w*((w*w**(-1))\/w)\/w))**(-21) assuming w is positive.\nAnswer: w**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/20 - r**4\/2 + r**3 - 7*r**2\/2 + 25*r. Suppose 7*i + 178 + 249 = 0. Let q = 66 + i. Determine h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -525*g - 2648. Let r be w(-7). Let n(x) = 4*x - 1. Let c be n(1). Suppose -c*z + 8511 = 3*v, -2*v + 4651 = 3*z - r. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -83, -115, -145, -173, -199, -223?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 1 (c) 2 (d) -5 (e) 4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkawkzyaklwkzk. What is prob of picking 1 k, 1 w, 1 l, and 1 z?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnrrh. Give prob of picking 1 d, 2 r, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16606 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 - r - 7. Let y be w(-6). Suppose -71 = -2*z + y. Suppose t = -0*t + z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139399 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a week in hours?\nAnswer: 4788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1052, -3134, -6602, -11450, -17672, -25262?\n\"Answer: b**3 - 699*b**2 + 8*b - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022011120101 + -20?\nAnswer: 12022011120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + -0.3. Let k = -1069\/2 + 534. What is the second smallest value in k, 7, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:00 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18935.05 decades to years.\nAnswer: 189350.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 0 - 5, 3*y = -3*l. Let v(r) = -2*r**3 + 3*r**2 + 2*r - 3. Let h(i) = -3*i**3 + 5*i**2 + 4*i - 5. Calculate l*v(f) - 3*h(f).\nAnswer: -f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*w + 825 - 1701 + 850 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*o**2*p + 3*o**2*z**3 - o*p*z**3 + 2*o*p*z**2 + 4*o*p - 5*o*z**3 wrt o?\nAnswer: 50*p + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15094 or -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172928.\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g - 25 + 22)*(7*g - g - 5*g).\nAnswer: -2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:45 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {d: 2, j: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 428.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-156)\/399 - ((-5)\/(-7) + -1). What is the nearest to r in -0.5, 5, 1\/3, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 510331*n**5 + 6*n**2 - 17747473*n wrt n.\nAnswer: 10206620*n**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*u = 0, -4*h + 5*u - 3 = -3*h. Let z = 6 + 0. Is ((-56)\/z)\/(h\/(-3)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from attejeatjtxa. What is prob of sequence tjjx?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -52. Suppose 0 = 22*t - 109*t + 261. What is the greatest common factor of j and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - o**2 - 4*o + 3. Let g be y(2). Let m be (g + 2)\/(((-1)\/(-3))\/1). Suppose -1745 + 10552 = 5*h + 4*k, 5274 = m*h - k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1. Let d = -7 + 13. Let l(q) = -6*q + 11. Suppose 7*i = 9*i - 2. Let g(c) = d*p(c) + i*l(c). Differentiate g(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/12 + 5*a**3\/6 - a**2. Suppose 0 = -4*n + 1 + 23. What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 87595061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmcmmsmmcs. Give prob of sequence mmc.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 6*s - 2*s. Suppose 0 = -3*w + 3*a - 15, -2*w - 20 = -0*a - 4*a. Let d(p) = -p + p + 2*p**2 + w*p. Give d(u(i)).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - q**2 + 11*q - 23. Let b(k) = -k**3 + 5*k. Let p(z) = -2*b(z) + s(z). Suppose 3*i = 6*i. Determine p(i).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.063? (a) -385 (b) 1\/10 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.0079397.\nAnswer: -0.00396985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*r - 55, 3237*r + 3*b = 3233*r + 75 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 19*t**2 + 10*t - 197. What is w(19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19758.\nAnswer: 2, 3, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 30. Let w be b(-6). Let u(z) = -z**2 - z + 108. Calculate the remainder when u(w) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Suppose -h + 3 = -n - p, 3*h + n = 17. Let w(c) = -14*c + 2. Let i be w(-2). Calculate the greatest common divisor of i and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -11. Let k(s) = 4*s + 7. Let y be k(v). Let n = -4 - y. Solve -l = -n*d - 25, 2*d + 18 = 3*l - l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 13, s: 1, l: 3}. What is prob of picking 1 s and 1 t?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6215*v**2 + 13801 with respect to v.\nAnswer: 12430*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*a - 21*a**2 - 14*a**2 + 151*a.\nAnswer: -35*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.04888 seconds in nanoseconds?\nAnswer: 8048880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/828988795 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 + 2 = 0. Differentiate 2 + 2*v**g - 2 - 2 + 3 with respect to v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5471308537911 + 5471304713578.399989. Let o = v - -3824331. Let i = o + 1.6. Round i to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 348891 (base 11) to base 16\nAnswer: 871d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*g**3 - 3 + 1 + 4 - 41*g**2 to the form j*g**2 + a*g + r + o*g**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 2, o: 2, p: 2}. What is prob of sequence poj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75\/227 - 12355\/7264. Find the common denominator of u and ((-82)\/(-24) - 2)*3.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.8 (c) -0.01377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by 5.\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6 - 2726582885642.\nAnswer: -2726582885638.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.226 + -10.226. What is the third biggest value in 5, 2, -2, 13, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k**2 + 17*k - 9. Let d be w(7). Let g = 104 - d. Calculate the common denominator of 6\/(-27) + g\/72 and 125\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q - 14 = 129 + 1597 - 6 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186 (base 13) to base 10.\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s - 2*s)*(3 + 4 + 10)*(5 + 3 - 13).\nAnswer: -85*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 2*p**3 + 4*p**3 - 3 + p**3 in the form s*p**2 + u + m*p + r*p**3 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 189711711 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 146 - 48 - 46 - 6889*x**2 - 2*x**3.\nAnswer: -2*x**3 - 6889*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25858800 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/48 + 41*i**3\/8 + 31*i**2\/2 - 78*i - 5. Factor p(w).\nAnswer: -(w - 124)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 4*o + 4. Let k be l(-4). Suppose -k*n = -7*n. Let c be 4 + -1 + 2\/1. Solve c*u = -3*f + 10, n = u + u - 5*f - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let d be q(-5). Suppose -c = 2*c - d. Solve 2 + c = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29928\/2408)\/(12\/84*1).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11680 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 314, 1123, 2698, 5291, 9154, 14539?\n\"Answer: 42*f**3 + 5*f**2 - 14*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Let b be (0 + c)\/(-1 - -3). Suppose -20 = -b*s - 2*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -0.3, -0.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - s + 43 = 0, 57*s - 69 + 114 + 154 = -4*h - 156 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1819)\/1020 + (-1)\/6 and 81\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/(-215))\/((-4)\/(-620)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 63?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-66)*2*(-73)\/((-1679)\/(-1265))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/60 and -67\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2 - 5\/2*v**2 + 0*v. Let k(l) = -2*l. Determine s(k(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -2*n**3\/3 + 5*n**2\/2 - 4. What is r(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.045425 rounded to one decimal place?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/12)\/((-256)\/1152).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let i(f) = -f**2 + 3*f + 5. Let s be i(4). Let u = p - s. Solve d - 3 + 7 = u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2294469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7873 or -4\/3?\nAnswer: -7873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*m + 1. Let t = m - -9. What is the highest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbzbzzzbzht. What is prob of picking 1 z and 1 b?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*g = -81*g - 162 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/480*5)\/((-20)\/16)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n - 6*v = -65*n - 99, 4*v + 105 = -3*n. Let y(h) = h**3 + 29*h**2 + 52*h - 55. Calculate y(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46510876 - 5.\nAnswer: -46510881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-15))\/((-6)\/(-5)). Let x be ((-8)\/(-32))\/((-1)\/(-2)). Let p = -56\/3 + 18. What is the nearest to 0.2 in z, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2898745, 2898747, 2898749, 2898751, 2898753?\nAnswer: 2898755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1969)\/(-9) + 2\/9. Suppose 3*h = -4*r + o, -4*h = -3*r - 90 - 177. Suppose -n + h = 2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116796739 - -87.731?\nAnswer: 116796826.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -45, -88, -155, -252, -385, -560, -783?\n\"Answer: -c**3 - 3*c**2 - 9*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*1*(sqrt(891)*-1*-4)**2 + -1.\nAnswer: -71285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2284715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2108, -16850, -56866, -134792, -263264, -454918, -722390, -1078316?\nAnswer: -1535332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.694 - -3.904. Let o = 0.051 - -1.159. Let i = f - o. Sort -2\/9, i, 13 in descending order.\nAnswer: 13, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + (-9 - -13 - 3) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 985665, 1971350, 2957035, 3942720, 4928405, 5914090?\nAnswer: 6899775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 50*y**3 + y**2 - 9*y - 22. What are the prime factors of t(5)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18))\/((187776\/(-3888))\/163).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8805363 - -3.3?\nAnswer: -8805359.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6820)\/(-396) - (-6 + 224\/36).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207874151 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*o = 30, 5*u = -2*o + 49 - 27. Suppose -2*a - 18 = a. Is u less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7ab - -111?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 4. Let q be a(8). List the prime factors of (-32)\/(-5) - 8\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0479*0.2\nAnswer: -0.00958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -39. Let k = w + -11. Which is the closest to 0.3? (a) 0.4 (b) -1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*r - 22. Let y = 28 - r. Factor 8*z - 2*z**y + 4 + 8*z**2 + 0*z**2 - 2*z**2.\nAnswer: 4*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 0*w**3 + 0*w**3 + w**2. Let s(n) = -7*n**2 + 4*n**2 + 2*n**3 + 6*n**2 - n**2. Determine 6*s(g) - 10*t(g).\nAnswer: 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(896) + sqrt(14) + sqrt(140)\/(-2*sqrt(10)) + sqrt(14))\/(-6*sqrt(224)\/sqrt(2)).\nAnswer: -3 - 19*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11034009 is divided by 1963.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001111111001010111 (base 2) in base 6?\nAnswer: -55035115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.65 + -54.15. Let q = p - -38. What is q rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187183389 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16528 + -16530. Put -3, 19, 2, f, 7 in ascending order.\nAnswer: -3, f, 2, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + d = 84, 3*x - 32 = d + 3*d. Is 109\/7 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, t: 4}. What is prob of sequence bttb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 5, o: 6, w: 3, k: 1, g: 4}. Give prob of picking 1 j, 1 k, and 1 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (4\/(-5))\/((-88)\/220) and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*g + 8*g - 1618, -4*w + 2*g = 3254. Let f = 920 + w. Calculate the highest common factor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 2 = 4*m. Suppose -4*j + 8 = -m*a - 4, -4*j = 5*a - 21. Solve r = 5*r - j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453000, 906058, 1359116, 1812174, 2265232, 2718290?\nAnswer: 3171348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114.1 + 114. Which is smaller: p or 0.89?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 270424?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) - 105\/25. Let b(u) = u**2 - 4*u - 1. Let r(q) = -q**2 + 5*q + 1. Let t be 7 - (3 + (-4)\/2). Suppose 3*f + 9 = -t. Give f*b(h) + w*r(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 12:12 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60.42392966 - 22.\nAnswer: -82.42392966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(-2*sqrt(5)) + -3 - sqrt(45)\/((-1*sqrt(27))\/sqrt(3)))**2.\nAnswer: -3*sqrt(5) + 41\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380 = 85*x - 93*x + 68*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11869+-1.444377\nAnswer: 11867.555623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4*m = -12. List the prime factors of (-28 + m)\/((-2)\/7).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**8\/2240 + v**6\/720 + v**5\/60 - 15*v**2. Let l(t) be the third derivative of d(t). Determine l(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8418\/5 + -1684. Let m(l) = l - 10. Let n be m(6). Let g be 1 - -1 - n\/(-4). What is the nearest to v in g, -2\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1356 - 39318\/29. What is the third biggest value in -1\/2, r, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/1411 and (6\/(-7))\/(3916\/(-11214)).\nAnswer: 15521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.4, -183\/814, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136523653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28869920 rounded to the nearest 10000?\nAnswer: 28870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/5)\/(99036\/(-467670)))\/(1\/(-9))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2cd (base 15) to base 6\nAnswer: -2551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Suppose -16 = p*u + 274. Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 - 506565*m**4 + 136529550*m**3 - 12280369500*m**2 + 368301735000*m = 0. Calculate m.\nAnswer: 0, 90, 101043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 359000524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 7*r + 4. Let z be u(-7). Suppose -4*p + 0 = z. Which is the closest to 2? (a) 0.3 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 37*v**2 + v + 63. Calculate the remainder when 179 is divided by d(-37).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 6978 + 616 - 6456 + 2553)*(-2*d**4 + 3*d**4 - 3*d**4) as x*d**4 + p*d + c + j*d**2 + g*d**3 and give x.\nAnswer: 20466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*v - c, 0*c + 2*c = -8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377 by 10789.\nAnswer: -377\/10789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -155 (b) 66 (c) 0.3 (d) -0.4 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 2*a**2 + 3*a - 29. Calculate y(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 267 - 278. Let h(d) be the second derivative of -d**4\/12 - 11*d**3\/6 + 7*d**2\/2 - 2*d + 622. What is h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -3331033013033?\nAnswer: -3331033013100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 17*h - 6. Give s(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/1238 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from ticftthftctt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -967 (b) -4 (c) 0.4 (d) -2 (e) 2\/3 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 40*h**2 - 38*h + 128. Let o be g(-41). Put o, -48, -5 in descending order.\nAnswer: o, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626*y**4\/13 - 16910*y**3\/13 + 11718*y**2 - 458298*y\/13 + 5832\/13 = 0. Calculate y.\nAnswer: 4\/313, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 15*g**2 + 18*g + 37. Let x be q(-16). Find the second derivative of 326*t + 288*t - 696*t + 108*t**x wrt t.\nAnswer: 2160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 32. Let y(i) = 49*i + 58*i + 57*i + 55*i - 223*i. Determine l(y(a)).\nAnswer: -8*a - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(17)*1 - (sqrt(68)\/sqrt(4)*-6)**2).\nAnswer: -10*sqrt(17) + 3060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/20 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcvgpddugdpvv. Give prob of sequence dgd.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*l + 39. Let u be (2\/(-4))\/((-2)\/8). Suppose -4*p + 2 = -3*q, u*p = q + p. Solve -q*t + 4 = -6*t, -t = 2*s + l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -714 and 269013.4.\nAnswer: 268299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3720 + -3718. What is the third biggest value in -1\/2, -2\/3, g, 1\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 - -2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 2. Let t be s(-5). Let y = t - -1. Calculate the least common multiple of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(-2*sqrt(85) - sqrt(85)))\/sqrt(5) + 4 + 2*sqrt(425).\nAnswer: 8 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.5 + -8.5. Put -9, c, 3 in descending order.\nAnswer: 3, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/4)\/c))**(9\/4)*(c**(-2\/9)\/c*c)**(-47))\/((c*c*c\/c**(-3\/7)*c)\/(c\/(c\/(c\/(((c\/(c\/c**0*c))\/c*c)\/c*c))))*(c**(2\/9))**48) assuming c is positive.\nAnswer: c**(2431\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -331.9, -5, -1317?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*u + 3, -217*n + 3*u = -215*n - 6. Let q(a) = -2*a + 7. Determine q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = 4*q. Let p be 9\/(-6)*28\/(-6)*-3. Let v be (-3)\/12 - (p\/4 - 4). Calculate the greatest common factor of q and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4434 - 496. Let t = n + -105983\/43. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 3*r + 0.\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19118094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 7. Let z be b(6). Let i be z\/6*(-3 - -43). Suppose -6*o**2 - i*o**3 - 1\/3 - 7\/3*o - 8\/3*o**4 = 0. Calculate o.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3499 divided by 451\nAnswer: 3499\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 52 - 95 - 11)*(-3*k**3 + 0*k**3 - 4*k**3)*(-k + 0*k + 0*k) to the form o + d*k**3 + m*k + y*k**4 + r*k**2 and give y.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1029*b - 1033*b - 16. What is the smallest value in 0, b, 2, 1\/46?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 5*i + 12. Let k(l) = -4*l**2 + 24*l + 60. Let x(r) = 3*k(r) - 16*s(r). Factor x(g).\nAnswer: 4*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6 + 61*q**2 + 6 - 5358*q + 5358*q. Let m(f) = -2*f. Calculate k(m(o)).\nAnswer: 244*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1545 and 1030?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 + 4*c**2 - 7*c + 3. Let l be x(5). Is l less than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13960 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 18 = -0*u + u, 3*u = -5*f + 34. Let a = u - 13. Find the second derivative of -2*m - 2*m**4 - 2*m**4 + a*m**4 wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1, 32, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14553)\/735 - 102\/(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l - 4 = 0. Put 4, 5, l, -1 in ascending order.\nAnswer: l, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Let w be 4\/(b*(-12)\/(-50))*3. Suppose -8*n - 54 = -w*n. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43, 75, 211, 505, 1011, 1783, 2875, 4341?\n\"Answer: 9*r**3 - 2*r**2 - 25*r + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 151*z + 143*z - 3.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = 15*j - 502. Let q(b) be the second derivative of -b**3\/2 + 9*b**2\/2 - 2*b. Let v(w) = -2*w + 6. Calculate j*q(g) - 8*v(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**3 - 14*z**3 - 16*z**6 + 15332009*z**2 - 5*z - 15331534*z**2 wrt z.\nAnswer: -1920*z**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 46. Suppose -5*m = -p*m. What is the units digit of -1 - -64 - 3\/9*m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023941*b = -1023973*b + 1312 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 1158672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -60. Calculate the greatest common divisor of y and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -542 + 543. Let v be (-2)\/(-1) - (-7 - -6). Let u = 8 - v. Solve 3*z = u + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 + 28*u**3 - 220*u**2 - 508*u - 264 = 0. What is u?\nAnswer: -11, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163447751 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t + 261. Give j(-16).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:34 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 15 = 3*u + 5*z, 5*u = 5*z + 35. Let f be ((-20)\/u)\/(6\/(-9)). Suppose -2*c + 7*c - 12 = -h, 4*h = -c + f. Solve -3*k = -c*x + 3, -7 = -2*x - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c. Suppose c = -5*x + 2*x + 30. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114105 is divided by 3609?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 1327*p**2\/3 - 5425*p\/3 + 156 = 0.\nAnswer: 117\/1327, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13*a - 113. What is k(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 16) to base 5.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2847, 2848, 2849, 2850?\nAnswer: 2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 5. Let q be j(-4). Suppose 2*f - q - 3 = -4*z, -3*f + z = -25. Is (-1)\/2 - -933*12\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 5*m + 5*m + (-5 + 1 + 2)*(m - 2*m + 0*m) + m - 2 + 2 + (5 - 3 + 0)*(-2*m + 0*m + m).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (63665\/(-14))\/(-5) - (-1)\/2. Suppose 5*q + 6235 = h. Let x = -664 - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (35 - (61 - 19))) + 12.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 13 (c) -0.13 (d) -4 (e) -1\/4 (f) 7 (g) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212010 + -1020100?\nAnswer: -101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34584, 32650, 30716, 28782, 26848?\nAnswer: 24914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {l: 1, t: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453022 + 453022 + 70759*y**2.\nAnswer: 70759*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32926220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3010 and 2002.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24521 - 24521 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2298 - -2188.9. What is s rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2908 + 133 = 185*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 37*s**2 + 71*s + 1022. What is the ten thousands digit of q(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cttpjcpd. What is prob of picking 1 c, 2 t, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1030980 divided by 6\nAnswer: -171830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792230 is divided by 2238?\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 - c**2 - 3*c - 1. Determine f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n, 5*q + n - 1694 = -n. Let o = q + -273. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -611*t + 236. Is u(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29125 is divided by 61.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -496, -3, 9 in descending order.\nAnswer: 9, -3, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10144 (base 5) in base 3?\nAnswer: -220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f*x**2 + f*x + 815*f - 120*x**2 - 2*x + 1 wrt f.\nAnswer: -8*x**2 + x + 815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*m - 8327 = -151*m + 599*m + 24127 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + v**2 + v + 1. Let w(x) = 9*x**4 + 5*x**3 + 5*x**2 + 5*x - 1. Let l(a) = 5*k(a) - w(a). Find the first derivative of l(b) wrt b.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496 and 84.\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 + 2*i + 1. Let b be t(-1). Let s(o) = 13*o - 14*o + 2 + 2 + 15*o. Is 20 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 4*p + 3. Let z be i(4). Suppose -3*u + 20 = 5. Solve -10 = -z*h + u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8769 + -2604. What are the prime factors of x?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.2. Let x = 0.7 - v. Which is the second biggest value? (a) x (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4226 + 4917. List the prime factors of a.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/4*8\/6*-1. Solve 2*v - 7*f + 3*f = -m, 0 = -5*v + 4*f - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3809*o**3 + 3918*o**3 - 263*o**3 - 1765*o**3.\nAnswer: 5699*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from qqeooeoejqo?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007847 rounded to 6 decimal places?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veeqvnqeenqqvv. What is prob of picking 1 v and 1 q?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4603372 by 1882.\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145356372.\nAnswer: 2, 286339093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 10, t: 6}. What is prob of sequence cfct?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)*1 + 1. Suppose 4*f = -5*c - w + 20, -3*c + 12 = 2*f. Solve f = -p + 5*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/11)\/c**19 assuming c is positive.\nAnswer: c**(-206\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (167 + -68 + -91)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104)*-2 - sqrt(104)))*5*6)\/(sqrt(200)*-2*1).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 140 + -62 + (26 - -15) + -6 + 25\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 s, and 1 x when four letters picked without replacement from skkxkllkkkxskskkkssk?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143291510 + 266136912. Let m = i + -122845573.000158. Let o = m - -171. Round o to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10615 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g - 10 - 3 - 83*g**2 + 85*g**2.\nAnswer: 2*g**2 + 41*g - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from tctqciiqq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3106 + -3114. Let v(i) = 5*i**2 + 9*i - 3. Let p(q) = 14*q**2 + 26*q - 10. Let o(r) = 4*p(r) - 11*v(r). Determine o(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10129 - -0.5?\nAnswer: -10128.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbb when three letters picked without replacement from {z: 2, b: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000323995185 to seven decimal places.\nAnswer: -0.0000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 6. Let c be -1*42 - (-6)\/3. Let r be 10\/4*c\/25. What is g(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 609, 1000, 1429, 1908, 2449?\nAnswer: 3064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12639*x + 3905443. What is a(309)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w + 18. Let g(r) = -17*r - 873. Let p(s) = -180. Let c(z) = -g(z) + 5*p(z). Determine 5*c(j) + 8*n(j).\nAnswer: -3*j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**8\/3024 - a**7\/1890 - a**6\/135 + a**5\/45 + 2220*a**2 + 2. Find n such that x(n) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 4294941.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -503, -1002, -1501, -2000, -2499, -2998?\n\"Answer: -499*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1906255 is divided by 207?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - -5 - (10 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*(0*g**2 + 14 + 27 + g**2) in the form r*g**2 + j + z*g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123280 and 224986?\nAnswer: 8999440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 9*s + 4. Let z be p(-10). Let f be (-28)\/(-18) - z\/(-27). Which is the biggest value? (a) 4\/9 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1400\/(-336))\/((-10)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 36 = 36. Solve a = n - 75 + 74 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62625 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-48)*410)\/(4\/(-80)). Let r = n - -575. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140 + -118. Suppose -f*g = -4*g - 4446. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2571555 divided by 15\nAnswer: 171437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q**3 - q**2 - 12*q. Let s(z) = -27*z**3 - 4*z**2 - 35*z. Let o(m) = 7*l(m) - 2*s(m). What is the third derivative of o(n) wrt n?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 550719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 104092 = 4*a + 8*d, -3*d = -2*a + 52018. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 1675*r**3 + 61830*r**2 + 1321120*r + 5733760 = 0. Calculate r.\nAnswer: -8, 62, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -374\/4161 - -4\/73. What is the common denominator of v and -59\/9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 1063*i**2 + 1222*i - 158. Calculate a(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.4 (c) 12500 (d) 0.2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/(v*(v*v**7)\/v*v))**(2\/21) assuming v is positive.\nAnswer: v**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 93 (b) -1 (c) -0.4 (d) -1.8 (e) -0.006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5))**(2\/11)\/(((u**11*u)\/u)\/(u*u\/u**(-2\/19)*u)))**(-25) assuming u is positive.\nAnswer: u**(41440\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1988*b**3*i*r**2 - 14*b**3*i - 44351*b**3*r**2 - b**2*r**2 + b*i with respect to i.\nAnswer: -1988*b**3*r**2 - 14*b**3 + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/8 + a**4\/8 + 563*a**3\/3 + 39*a**2. Find the first derivative of i(p) wrt p.\nAnswer: -45*p**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -2*x**5\/15 + x**3\/6 - 13*x**2. Let o(z) = -2*z. Determine o(d(y)).\nAnswer: 16*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 6, w: 1, n: 9}. Give prob of picking 2 r and 1 n.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -153, -364, -629, -900, -1129, -1268, -1269, -1084?\n\"Answer: 8*j**3 - 75*j**2 - 42*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + 1444?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - -197. Suppose -w = -8*b + 136. What are the prime factors of b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 19, 28, 37, 46, 55?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x - 3*x - x - 11*x)*(-21*x - 9*x + 14*x**3 + 32*x).\nAnswer: -462*x**4 - 66*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-15))\/((-156)\/65)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108)\/(-10) + (-14)\/(-70) - 1. What is the closest to 0 in 0.2, c, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5\/3, 345, -0.4, -94?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 10 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206 less than 0.021838?\nAnswer: -0.184162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24144 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*l + 34*l - 2 - 26*l)*(-3*l - l**3 + 3*l).\nAnswer: 12*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(9) + sqrt(27)\/sqrt(3)) - (sqrt(36) + sqrt(576) - sqrt(36)))\/(sqrt(300) + (sqrt(300) - (-1*2*sqrt(300) - sqrt(300)) - sqrt(300))).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 39522592*c + 97627204899904.\nAnswer: 4*(c + 4940324)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30317 - -30317.013687. What is x rounded to four dps?\nAnswer: 0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 84279\nAnswer: -11\/84279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-5 + 4)*-3. Let a(z) = -30*z + 8. Is a(s) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575269059 to the power of 1\/2, to the nearest integer?\nAnswer: 23985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1098 - 2339 + 1266 - 318*i)*(1 - 1 + i).\nAnswer: -318*i**2 + 25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382278, 1529736, 3442160, 6119544, 9561882, 13769168?\nAnswer: 18741396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/585 + (-4 + 2)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 9:15 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:32 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/114)\/(249\/4731)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 - 2)*(-3*t**2 - 3*t**2 + 2*t**2) + (-3*t + 2*t + 2*t)*(-4 - t + 4).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77))\/sqrt(11) + sqrt(7) + (sqrt(7) + 0 - sqrt(7)) + 0)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 26403 + 110834. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = 6. Let y be 8\/h - (-1 + 1). Let n be 3*(4\/(-3))\/4. Put y, n, 0 in decreasing order.\nAnswer: 0, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10302 (base 7) in base 4?\nAnswer: -213312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-56)*(-7)\/(-4). What is the closest to -5 in f, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3541, 3536, 3521, 3496?\nAnswer: 3461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*p**2 + (-p + 0*p + 5*p)*(2*p + 2*p - 6*p))*(-2059 + 2059 + 273*p)*(3*p + 0*p + 0*p).\nAnswer: -4914*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2497565 and 81\/4995130.\nAnswer: 4995130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*l - 18 = 0, -18*l - 5 = -19*l. Let i be (4\/(-8))\/((-2)\/12). Sort 10, i, v in increasing order.\nAnswer: v, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8953, 20265, 31577, 42889, 54201?\nAnswer: 65513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2003144 + -213344?\nAnswer: -2222043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 6*k**2 - 5*k - 18. Let y be n(-6). Find the common denominator of -54\/7 and (-2305)\/1200 + y\/(-20).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/80 - v**4\/24 - v**3\/24 + v**2\/4 - 8*v. Determine w, given that x(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 + 38946*z + 3173400 = 0 for z.\nAnswer: -12900, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose -y + b + 2 = 0, -3*b = i*y - 2*b - 7. Let f = -12 + 12.1. What is the closest to f in y, 4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2425)\/(-50))\/((-1)\/4). Let w = -85 - g. What are the prime factors of w?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -29 - 15 - 147*m + 182*m - 67. Is w(50) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000547623336 rounded to 7 dps?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -277? (a) 4 (b) 18 (c) 2\/11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let r(q) = 175 - 14*q - 175. Give r(w(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8225\/15675 + (-264)\/3762.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -104506352122 + 1.96\nAnswer: -104506352120.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-1 - y + 1) - 2*y + 1 - 1 + 14 - 5 - 19*y - 10 in the form v + c*y and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12002, 26034, 40058, 54068, 68058, 82022, 95954, 109848?\nAnswer: 123698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 7. Let j be d(9). Solve -26*q = -21*q + j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1202?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a factor of 79254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131385641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3109940, 3109944, 3109950, 3109958?\nAnswer: 3109968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 75374?\nAnswer: 75368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*r - 387*r - o - 2187 = 0, o + 1 = 0. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 2, -1, 7.8, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 11*f**2 + 4*f + 18. Is 31 a factor of v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k**2 + 2*k + 1. Let r be q(-1). Suppose -5*i + r + 11 = 0. Suppose 5*h - 3*z = 40, 0*h + 2*h + i*z = 16. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + f - 5. Let u = -6 - -8. Suppose -u*b = -10 - 2. Let v be (-3)\/b*-2*0. What is p(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2770 and 6?\nAnswer: 8310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061552 to 6 decimal places.\nAnswer: -0.000616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 14. Let c(r) = 2*r**2 + 2*r - 28. Suppose 0 = -4*l + 2*w + 14, 13 = 4*l + 3*w - 6*w. Let o be c(l). What is q(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1 + sqrt(80) + 1 - (2 + sqrt(80)*-1 - sqrt(80)*1*-1))*-5)**2.\nAnswer: -1000*sqrt(5) + 2625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/(o*o**(-3)))**32\/(o**(5\/4)*o*o\/(o\/(o*o**(-2)\/o*o*o*o))*(o**(-1\/5)\/o)\/(o**(-1)*o)) assuming o is positive.\nAnswer: o**(-2601\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -131, -323, -601, -971, -1439?\nAnswer: -2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 773311.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*n + 20, -3*m = -3*n - 6549. Let k = -30679\/14 + m. Calculate the common denominator of k and -3\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3420 and 6612?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -98870.2 take away 0.345?\nAnswer: -98870.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Suppose -24 = s - c*s. List the prime factors of (2\/4)\/(1\/s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31052737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 + 3*n**2. Let a(b) = 13*b**3 - 5*b**2. Determine 3*a(j) + 5*d(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 2 = -10*q. Let f = -3 + q. Let z be (-1 - -1) + (-2)\/(-16). Is f at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.9 - -39.9. Let o = -7.5 + 8. Let x = -6 + 6.4. Which is the closest to j? (a) 0.2 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -2. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -95, -4, -73 in ascending order.\nAnswer: -95, -73, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/1139965 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let m = 0.3 - 1.3. Let q = 0.486 + -2.486. What is the nearest to m in s, q, 3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 + 6*w**2 - 5*w. Let f be 18\/3 + -3 - -3. Suppose 99 - 31 = -68*n. Let g(j) = -j**3 + j**2 - j. Give f*g(r) + n*m(r).\nAnswer: -3*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156122678*f**2*s - 83*f*s - 24*f + 2417 wrt f.\nAnswer: 312245356*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -14*q**3 - q**2 + 10. Determine u(2).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = u - 126, -2*u - 4*f = -u - 140. Suppose -w = -4*m + u, -18 - 15 = -m - w. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 11.29, 3\/4 in ascending order.\nAnswer: -7, 3\/4, 11.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 29492*p + 435*p**3 - 29494*p - 1905*p**3 as b*p**2 + k*p**3 + y*p + u and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 38*b - 35. What is the tens digit of a(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19)*3 - ((1 + sqrt(304))**2 - sqrt(304))) + -1*sqrt(19) + -3 + -4 + 4.\nAnswer: -308 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1352030443 (base 6) to base 15\nAnswer: 16d2830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idfw when four letters picked without replacement from {q: 3, f: 1, w: 3, i: 5, d: 1}.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.18 and -73.986?\nAnswer: 73.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9795866 * 1.3.\nAnswer: -12734625.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 30*o**2 + 23*o + 171. Let b be u(29). Let d(r) = r**3 - 9*r - 6. What is d(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391160 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 12*u - 505. What are the prime factors of s(-26)?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54322 - 196987 = -15*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-2 + 0\/2). Let q = 2 - a. Let x be (-1)\/(q - 15\/6). Sort 0.4, x, 0.\nAnswer: 0, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-12)\/6)\/(-2)*1. Let u(y) = -15*y**2 + 5*y - 9. Let o(x) = -8*x**2 + 3*x - 5. Let f(q) = 7*o(q) - 4*u(q). Calculate f(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 12*j - 2. Let n be i(12). Suppose 3*h + 5*a = 23, 0*h - 5*a = -3*h - 17. Sort n, h, 5 in ascending order.\nAnswer: n, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5717959 or 5717958?\nAnswer: 5717959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -135.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*o - 665 = -47*o - 2285 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140890328*c**3*d**2 - 1863*c**2*d**2 - 5*c*d**2 + 13*c*d - 3*d**2 wrt c?\nAnswer: 845341968*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.0505?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (25\/(-15))\/(7*6\/(-57582)) is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*c + 27 = 0, -2*y + 20 = -7*c + 6*c. Suppose 5*n + 24 = y*n. Suppose n*p - 436 = 144. What are the prime factors of p?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4147 (base 9) to base 7.\nAnswer: 11602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3142, -3059, -2922, -2731, -2486, -2187?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4796207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 678\/54 - (-85)\/(-153)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Suppose 4*g - w = 3*g. Solve -l - g = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -234522, -469024, -703512, -937986, -1172446?\n\"Answer: 7*a**2 - 234523*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 p when three letters picked without replacement from {i: 2, w: 1, p: 2, m: 1, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 29*k + 404. Let c(d) = -158*d + 2. Give y(c(s)).\nAnswer: -24964*s**2 + 5214*s + 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -17. Let p = -8 - l. Calculate the remainder when 11 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -748 - -1188. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-153) - (-114)\/(-342).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*x + 5*x. Let y = 30 - 27. What is the remainder when y is divided by (-4)\/6*(x + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/162)\/((1\/6)\/1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -404454 divided by -2\nAnswer: 202227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4737131, 4737135, 4737153, 4737191, 4737255?\n\"Answer: i**3 + i**2 - 6*i + 4737135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3793, -3797, -3805, -3817, -3833?\nAnswer: -3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p + 153*p - 819 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276 - -279. Let u be 5\/(-10) + (-3)\/(-2). Let w be o + u + -2 - -16899998. Round w to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13333 (base 6) to base 11.\nAnswer: -1615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 17. Let t = 11 + -2. Let n = y + t. Put -2\/3, -4, n in increasing order.\nAnswer: -4, n, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 2. Let o be c(0). Solve -3*d + 4 = -o*r, -d + 3*r + 11 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(156)\/(sqrt(84)\/sqrt(7)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15865 divided by 3173?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*a**4 + 8*a**2 + 9*a + 111?\nAnswer: -216*a**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2961 divided by -311951.\nAnswer: -2961\/311951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1373 = 5*k, 10*k = 5*b + 5*k - 3410. Calculate the remainder when b is divided by 124.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10431, 10418, 10381, 10308, 10187, 10006, 9753?\nAnswer: 9416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 1068, 1613, 2158, 2703, 3248?\nAnswer: 3793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 13.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/27 - (-530975)\/(-331650).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(24))\/sqrt(12) - (-3 + sqrt(8)\/(sqrt(4) - (sqrt(4) + sqrt(4)*2))) - (1 + sqrt(162) + (0 + sqrt(162))*2 + -2*(sqrt(162)*-2 + sqrt(162)))**2.\nAnswer: -4047 - 181*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 13 = -4*o + 10, 9 = 3*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.45 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 16. Let w be g(-17). Let p(f) = 11*f**2 - 2*f + 1. Calculate p(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/78)\/(((-133)\/28)\/19)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 3*h + 3. Let n be m(3). Suppose -c + 3*c + 15 = -5*a, -3 = a + n*c. Let i(g) = g**3 + 2*g**2 - 4*g - 2. What is the units digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 10. Let y(c) = c - 9. Let s be y(-9). Let r = -10 - s. Let l be w(r). Solve j = l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36577712 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 9*a**2 + 33*a - 110. Is s(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157455352.\nAnswer: 2, 19681919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 729 divide 5425218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 512.93 - 515. Let k = c + 11.27. What is the second biggest value in k, -4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10702142 to the power of 1\/2, to the nearest integer?\nAnswer: 3271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 - 15*b + 16*b + b**3 + 2*b**2 + 1. Let g be f(-5). Let n be (-4)\/(((-4)\/g)\/(-6)). Solve 5*u - 2*u = -12, 4*m + n = -2*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -161? (a) 3 (b) -0.4 (c) 899\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4 = -2*j, -3*i = 4040*j - 4030*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Suppose a - 4*v + 5 = l, -v + 10 = 2*a - a. Let r = a - 7. Solve 4 = -n - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -81 and -222?\nAnswer: 17982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(153) - sqrt(17)) + 2)*5.\nAnswer: 10 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8549 + -6405. List the prime factors of g.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*x**2 + 0*x**3 - 11*x**4 + 7*x**4 + 9*x**4 - 6*x**3 + 0*x**4 as b*x + v + o*x**3 + p*x**4 + i*x**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-45)\/2)\/(4\/(-8))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 5*k**4\/12 - 125*k**3\/6 - 63*k + 2. Suppose l(b) = 0. Calculate b.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 900305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-26))**(-44\/7)\/(r*r*((r\/r**3*r)\/r)\/r*(r\/r**(-2\/51))\/r) assuming r is positive.\nAnswer: r**(-60245\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 5, y: 3, x: 2, l: 3, e: 1}. What is prob of sequence xx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3228556 - -1953275901\/605. Let w = 1\/121 - s. Factor 0 + w*c + 2\/5*c**2.\nAnswer: 2*c*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26614 and 336.\nAnswer: 638736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -1, -2\/13, 3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6082687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/47, -2, -1?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.107 rounded to 1 decimal place?\nAnswer: -36.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3 (c) -5\/6 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -188637 (base 9) to base 16\nAnswer: -1cc81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -17 (b) 1 (c) 3 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253654 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*4\/24*78. Let a = k - 49. Solve 0 = a*w - 1 - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2955 divided by -2?\nAnswer: -2955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t + 12 - 638*t - 695*t - 111*t.\nAnswer: -1513*t + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 7252837\/173 and 41924 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*z - 84 = 0. Suppose 5*n = 2*g + z, n - 5*g + 2*g = 8. Calculate the common denominator of 25\/26 and (234\/(-24))\/(n\/(-4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a + d, -4*d = -5*a - 6 + 3. Let o = 0.2 + 0. Let u = 0.1 - o. Which is smaller: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65))\/sqrt(5) - ((sqrt(1872)*2)**2 + sqrt(13)).\nAnswer: -7488 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 + 8\/(-12). Suppose -3*a - 5*x = -43, -4*a - x - 4*x + 49 = j. Suppose -2*k + k = 0. Solve k = -3*h + 6 + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 3. Let h be ((-118000)\/g)\/((-2)\/(-12)). Suppose 5*y - h = -2*n - 0*y, 0 = 4*n - 3*y - 236000. What is n rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797\/5 bigger than 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5155 + -3656. Let t(m) = -2*m**2 + 12*m - 5. Let k be t(5). Suppose 1266 = k*b - y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/110416 and 61\/12864.\nAnswer: 1324992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(468) + sqrt(468)*3 + sqrt(468) + sqrt(468))**2 + (sqrt(1573) + sqrt(1573)*-1)**2 + -4.\nAnswer: -33700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 6*o**2 - 6*o**2 - 5*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001402 times -0.056?\nAnswer: -56078.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bpppb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/712 and 33\/10.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 24 = c + 2*a, -54 = 2*c + 3*a. Let b be ((-288)\/c)\/((-2)\/(-25)). Suppose -9*w + 5*w = -b. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 0 - (14 - 16). Is -2\/67 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2220\/110 - 22 - (-2)\/(-11). What is the fifth biggest value in 0.02, i, 2\/15, 1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 62 = 32. What is the highest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*h**2*l*s*v - 5*h**2*s*v + h*l*s*v + 7*h*l*v + 2*h*s + l*s wrt h?\nAnswer: 78*l*s*v - 10*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 0, 4*u - 769 - 891 = 4*y. Let s = 203 + y. Let x = -99 - s. What is the greatest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10.7 (b) -775 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137590 or -137560?\nAnswer: -137560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 112? (a) -1 (b) 0.02 (c) 4 (d) -1\/18 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -38267 times 0.04\nAnswer: -1530.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -7*c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = 3*f, -6*z - 4*f = -2*z + 12. Let k be 6\/(-5)*z\/(-12). Suppose -33*g - 105 = 60. Which is the third smallest value? (a) -0.4 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/6 - -1)*3. Suppose -82 + 82 = -254*a. Put -10, t, a in ascending order.\nAnswer: -10, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 - 3*c - 6. Let v(g) be the first derivative of g**3\/3 + g**2 + 3*g - 9. Let l(j) = 6*m(j) + 13*v(j). Determine l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.1 + -10.9. What is the nearest to u in 1\/5, -2\/3, 0.5, -1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 - 3*n**4\/4 + 11*n**3\/6 - 11*n**2\/2 + 2*n + 19. What is w(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/7)\/j**(-2\/11)*j*j\/(j**(-2\/9)\/j*j)*j*j*j*(j**(-3\/4)\/j)\/j assuming j is positive.\nAnswer: j**(6961\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25576400 and 3225?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**3 - s - 241. Let d(k) = 14*k**2 + 5. Let j(c) = d(c) + 5*g(c). Let h(r) = -5*r**2 - 27. What is j(h(m))?\nAnswer: -25*m**4 - 270*m**2 - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 67703.92 days?\nAnswer: 97493644.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 1. Let p(t) = -3*t**2 + 6. What is 30*n(h) - 5*p(h)?\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3523470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*w**2 - 104*w**2 - 160*w**2.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6864*s = 7939*s + 108575 for s.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10293*h**3 + 42*h**2 + 65*h + 1 wrt h?\nAnswer: 61758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3438\/12*2\/3. Let z = 288 - b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9600 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 896 and 6944.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, -1.9, 1\/2, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*x - 20 = -5*n + 90*x, -16 = -4*n - 3*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 less than -250.1685591?\nAnswer: -313.1685591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2768873 is divided by 6423.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*u + 14735 = 778*u for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**8\/420 - j**5\/30 - j**3 - j. Let c(y) be the second derivative of r(y). Find the second derivative of c(u) wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3017560.78 - -0.37\nAnswer: -3017560.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1726 + -1721. Solve l*x = -5, 2*x + 3 = -2*b + 3*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/264970707 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -9.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -1. Let n = 33 - k. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - q - 8. Let f be (4*9\/(-30))\/(6\/(-20)). What is the least common multiple of v(f) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/42 + 1\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 + 3*c**4.\nAnswer: c**4*(c + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -178 divided by -4\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 18 - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 162758223 to the power of 1\/2, to the nearest integer?\nAnswer: 12758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93459247.\nAnswer: 7, 1999, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 269*r**2 + 2*r - 5. Let i(c) = c**3 - 135*c**2 + c - 3. Calculate 5*i(z) - 3*q(z).\nAnswer: 2*z**3 + 132*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/(sqrt(35)\/sqrt(5)) + 1*sqrt(135))\/(sqrt(245) + -1*(sqrt(245) - (3*sqrt(245) + sqrt(245)) - sqrt(245)) + sqrt(245) - sqrt(245)))**2.\nAnswer: 48\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*s**5 + 48*s**5 + 50*s**5 + 37*s**2 + 1 - 13*s**3 wrt s?\nAnswer: -120*s**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*g + 69*g - 145*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/((-4437)\/3596) + ((-7)\/3 - 6\/(-3)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77672601101.091 and -22.\nAnswer: 77672601079.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 11*b**2 - 10*b - 11. Let f(s) = -s**2 + 2*s. Let n be f(1). Let u be 1 + (8 + 3)\/n. What are the prime factors of p(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23658 (base 13) in base 12?\nAnswer: -31600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - k**2 + 0)*(k - 2*k**2 - k) + (0*k + 2*k - k)*(-3 + 3 + 2*k**3))*(3 + 1 - 3)*(-4*k - 39*k + k).\nAnswer: -168*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42901 and -50.9.\nAnswer: -42951.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 1. Suppose 4*i - 3*s - 32 = 0, 0*i + i - 4*s - 21 = 0. Suppose -q = -i*c - 58, 6*c - 2*q = 2*c - 50. Let u(w) = -8*w - 3. Give c*t(l) - 4*u(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m + 19*m + 133 = -3*p, m = 2*m + 2*p + 127 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7007?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229609, 225804, 221999, 218194, 214389, 210584?\nAnswer: 206779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 8 - 420*l + 2 + 15.\nAnswer: -420*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359825?\nAnswer: 5, 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 not equal to 17056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/((-81)\/(-270))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 1097 = 872 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/600 + i**5\/300 - i**4\/60 - 14*i**2. Factor s(w).\nAnswer: w*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -164, -374, -694, -1112, -1616, -2194?\n\"Answer: 2*i**3 - 67*i**2 - 23*i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let o(q) = 4*q**3 + 2*q**3 - 2*q**3. Suppose j = -j + 4. Let n(m) = -5*m**3. Give j*n(r) + 3*o(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/(-5)*330\/97185?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*x + 693 + 287. Let j be 22 - x - (25 + 3)*-1. Suppose 2*f - 37 = -5*z, 2*f - f - 26 = -4*z. What is the highest common divisor of j and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 28 - 3*v - 13)*(2*v**4 - v**4 + 0*v**4 + (4*v**3 - 5*v**3 - v**3)*(-2*v + 3 - 3)).\nAnswer: -15*v**5 + 25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17412 + -626747\/36. Calculate the common denominator of -5\/66 and q.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49492115 - 34009*y**3 - 49492115 + 34018*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 0.4, 2\/13, -4, 44?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f - 14. Let q be u(4). Suppose q*d + 8*d = 230. What is the highest common factor of 391 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 239*g**2 + 117*g**2 - 151*g**2 as q*g + m*g**2 + n and give m.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 21*b + 727. Suppose 0 = 2*t - 7*t + 125. Calculate the remainder when t is divided by l(-34).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose -2*p + 0*p + c*i = 5, -3*p + 2*i = 5. Let d = 2\/1213 - 2460\/20621. Do d and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.438 - -301.438. Let n = -300.9 + a. What is the closest to n in -1, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3))**(-42)\/(l\/((l*l**(-2))\/l)*l*l*l*l\/l**(-4)))\/(l**7\/(l**(2\/13)*l))**(-9\/2) assuming l is positive.\nAnswer: l**(381\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d + 18*d**2 - d - 5 - 8*d. Is a(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 21, -87, 1 in increasing order.\nAnswer: -87, -4, -3, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 112, 184, 260, 340, 424, 512?\n\"Answer: 2*a**2 + 62*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*((-28)\/(-20) - 1). Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712842121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6642 divided by 6\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/14*5745\/75. Let x = -55 + b. Sort 5, -5, x.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - 4*o**5 + 4*o**5 + (6 - 3 - 2)*(2*o**2 - 2*o**2 + o**5) - 2*o**5 + 7*o - 7*o + (5 - 3 - 3)*(35*o**2 - 16*o**5 - 35*o**2).\nAnswer: 13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*j - 61*j + 60 = 0. Calculate the least common multiple of j + 49\/7 + 17 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + -307. Let c be 6\/15*(-15)\/9*l. Which is smaller: c or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/55 and 26\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -4354, -5, 0, -1 in ascending order.\nAnswer: -4354, -5, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*n - 5, -2*d + 22 = -177*n + 172*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.97753 + -0.05753. Round q to 0 decimal places.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let m(a) be the second derivative of a**6\/180 + 11*a**3\/6 + 5*a**2\/2 + 10*a + 3. Let l(v) be the second derivative of m(v). What is l(g(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:15 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 9 = 4*c. Solve 7*u + c = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.47 and 336?\nAnswer: 157.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12111779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.053422 * -0.3\nAnswer: -0.0160266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*x - 21*x + 8*x + 8*x**2 - 6*x**2 to j*x**2 + y + m*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*j = -139, 0 = -23*j - 98*j + 113*j - 216 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937197084.\nAnswer: 2, 3, 31, 2519347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 24. Let m = -0.043 + -4.957. Let k = r + m. Is k >= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 252*z + 61 with respect to z.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyyffutvtfyy. Give prob of sequence tt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2 - 160*k - 162 = 0?\nAnswer: -1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:39 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 126083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16108 and 109152?\nAnswer: 439555104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 84*c**2 - 21029660*c\/9 + 222536\/9 = 0. What is c?\nAnswer: 2\/189, 27817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (34 - 25) - -4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*d - 7*d. Calculate the common denominator of 58*(-4)\/(-48)*d and 27\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, a: 1, d: 5}. What is prob of sequence ad?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 2*z**4 - 2*z**4)*(-3*z + 0*z + 2*z) + 4*z**5 - 3*z**5 - 3*z**5 + (-8 + 0 - 10)*(-2*z**2 + 2*z**2 - 2*z**5) + 2*z**5 + 5*z**5 - 6*z**5.\nAnswer: 36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 9590, 14, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*k - 63 = -27, 2*k - 48 = 5*m. Let b be m\/(-6)*(-4 + 1). Let d(c) = c + 4. Let y be d(-6). Is b bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2 - 5 + 1 - 13*l**2 - 36*l - 4 = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*p + 142*p + 0 - 532*p**2 + 1 + 539*p**2.\nAnswer: 7*p**2 + 344*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(28\/(-16) - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28148 (base 15) in base 8?\nAnswer: 373037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*sqrt(36)\/sqrt(4))\/sqrt(3).\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12013 and -302.\nAnswer: -3627926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 216499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, 607, 2\/9, 11, 87?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9592)\/(-192) + 1\/6 + (-860)\/6880\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - j. Let i be c(0). Suppose i*s = 2*s. Suppose -3*k = -s*k. Solve d - 2 = -k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -15 (b) 6\/104915 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Suppose i*k - 6 = -0. Let v = 6 + k. Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*y - 14843 - 64*y + 14843.\nAnswer: -131*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 2*z + 24. What is the remainder when 45 is divided by g(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 4*l - 1345. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2242341 (base 6) to base 15\nAnswer: 23e5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14906071 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 12003443?\nAnswer: 12003441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19341211.\nAnswer: 127, 152293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 + 1.1. Let j = 20.6 - 21. Suppose -5*p - 5*f + 20 = 0, -12 = -3*p - 2*f + 7*f. Sort p, j, w in decreasing order.\nAnswer: p, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 13 + (-30 - -13) + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30630, -122589, -275854, -490425, -766302, -1103485?\nAnswer: -1501974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 225368590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -600818 + 1262980. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 4*l + 124. Determine b(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4100.226 days?\nAnswer: 354259526.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 54, 0, -2 in descending order.\nAnswer: 54, 0.2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 10. Suppose 3*z + 22 = 4*p, -5*z - 8 = 42. Which is the smallest value? (a) x (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 18*r + 20. Suppose -n = -3*b + 11, 5*n - 4*b = n - 52. Let d be k(n). Suppose 6*v + d = 10*v. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -7) + (12 - (36 + -13 + 9))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9955238897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (602\/119 + -5)*-2. Let v = 783.6 - 783. Which is the nearest to 2\/7? (a) v (b) -5 (c) -0.4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 8*t**5 + 2*t**5 + (-1 - 3 + 3)*(205*t**5 - 39*t**2 + 39*t**2) + (t + t**3 - t)*(-3*t**2 + 2*t**2 + 0*t**2).\nAnswer: -210*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 126?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(266)\/(sqrt(7) - sqrt(7)*-2))\/(-5*sqrt(128))*-6)**2.\nAnswer: 19\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 4:28 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2089 * -49.\nAnswer: 102361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1110)\/148*8*(-18)\/(-300)*70\/(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**5\/60 + z**2 - 9. Let a(r) be the second derivative of p(r). Let c(m) = 3*m**2 - 2 + 2. What is -7*a(n) - 2*c(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3 + 17524*v**2 + 109522688*v - 974001909760 = 0.\nAnswer: -7430, 8096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 12 = -8*d. Let t = -103\/4 - -25. What is the nearest to 0 in d, t, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s. Let d(n) be the second derivative of 17*n**4\/12 + n**3\/2 - 43*n. Calculate k(d(t)).\nAnswer: -34*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43169+-0.2\nAnswer: 43168.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h + 80 = 30*h. Let u(g) = 4*g - 1. Let j be u(h). What is the greatest common divisor of j and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 9:20 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -71\/1825822 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -334 or -1666\/5?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from {o: 2, z: 2, d: 1, v: 1, h: 1, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0.56846025889\nAnswer: -3.56846025889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 83 = g, 27 = 3*a + 5*g - 14. Solve -3*y = 3*i - 8*i + 21, -4*i = -5*y - a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 30 - (2 - -3) - 3 - -43.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7654832683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubb when three letters picked without replacement from {u: 1, b: 2, x: 1, r: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 202544 * 170\nAnswer: 34432480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -47*k**2 - 1544*k - 2898. Give m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 6 = -5*n. Calculate the remainder when 10 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdddjddjd. What is prob of sequence jd?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102011111010020 + 12?\nAnswer: -102011111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13331791.\nAnswer: 11, 17, 71293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -114, -13, -5, 44 in ascending order.\nAnswer: -114, -13, -5, 44, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 383. Let p(t) = 15*t**2 + 13*t - 91. Let c(x) = 7*x**2 + 6*x - 42. Let k(m) = -13*c(m) + 6*p(m). What is h(k(l))?\nAnswer: -2*l**4 + 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3 - 9. Let o(w) = -2*w**2 - 7*w - 1. Let i(y) = y**2 + y. Let n(u) = -3*i(u) - o(u). Calculate the smallest common multiple of 8 and n(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4077 or -0.3?\nAnswer: 4077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noke when four letters picked without replacement from tnnkeettneeoot?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181978826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60071?\nAnswer: 11, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (25 + -11 + -2 - (0 + -3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -72*a**2 - 28*a + 28. Let p(t) = -8*t**2 - 3*t + 3. Calculate 3*j(c) - 28*p(c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78*d**3*x - 44*d + 16966*x wrt d?\nAnswer: 234*d**2*x - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4119 + 4118.6813. What is w rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001366700234 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95114316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 2*f + 5, -10759 = -2*d - 5*f - 10742 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 14*p - 3. What are the prime factors of (-9)\/(36\/(-232))*p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 40?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -7, 26, 81, 164, 281, 438?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-364)\/42*(2 + 2\/(-4)). Let r = 7 + w. Calculate the remainder when 18 is divided by r\/(-10) + 44\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.9 - 6. Let v = o - 0.4. Let s be (24\/90)\/(4\/10). What is the closest to 2 in s, 5\/3, v?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 8 = -3*y. What is the second derivative of 5 + 4*s - y + 0 - 2*s**2 wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 666390495 and 8985?\nAnswer: 8985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - 24. Let i = v + -8. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144172 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 25686.9 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001010 (base 2) to base 5.\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.1. Let a = -0.293 + 5.293. Let f = a + -4.9. What is the closest to -0.1 in -2\/7, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30289582.\nAnswer: 2, 15144791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 372837?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 204 = 24*l. Let f(w) = 16*w + 22*w - l*w + 10*w**2 + 7. Let d be f(-6). Round d to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 891*w - 2390 + 2390 as r + i*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 64391\nAnswer: 23\/64391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 27*m - 1 - 12*m - 36 - 14*m - m**2. Let b be w(10). Let g = b + 129. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, s: 2, d: 1, q: 2, i: 1}. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 361, 797, 1393, 2143, 3041, 4081?\nAnswer: 5257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002510332551 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85543?\nAnswer: 131, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24 + 1054\/(-51))\/(8\/6). Is d less than 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1218 - 657. What is the highest common divisor of 51 and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25660, 51543, 77858, 104821, 132648?\n\"Answer: 36*q**3 + 25631*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q + 115 = -116 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 + 19*z - 30. Give l(4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 223. Is n(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -547 + 547. Solve 0*h - 3*h - 6 = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462295387 + 43*i + 462295387.\nAnswer: 43*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 3*q + 2. Let s be o(4). Let z = s + -1. What is the highest common factor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -198 * 1120514.\nAnswer: -221861772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3567953359 to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3 = -v - 3*y, 2*y = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -126 + 57 - 10 - 81 - c as p*c + d and give d.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 6:03 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 16 - 30*v - 2516*v + 18 + 18.\nAnswer: -2546*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 394270313 to the power of 1\/2, to the nearest integer?\nAnswer: 19856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 706403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 257 = -53. Which is the smallest value? (a) -1\/2 (b) 1\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4281*u - 75968 + 11851 = -3676*u + 8618*u for u.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1604.70116 + -1605.1. Let l = 0.4 + 0. Let f = l + q. What is f rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*c - 1\/10*c**2 - 22\/5.\nAnswer: -(c - 22)*(c - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468901231?\nAnswer: 311, 313, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 13*x - 35. Let m be y(-11). Calculate the highest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:38 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1385 = 33*x + 560. Solve -707*y = -712*y - x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -4 (c) 1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z = 0. Let k be z - 2 - 0\/(-3). What is the units digit of (k\/5)\/(1\/(-50))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.64 - 8.44. Let p = 7.83 - -0.17. Let u = v + p. Round u to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3687666, -7375470, -11063260, -14751030, -18438774, -22126486, -25814160?\n\"Answer: q**3 + q**2 - 3687814*q + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 3*k + k + (2*k + 3*k - 3*k)*(3 - 3 - 2) - k - 3*k + 3*k + k + 1 - 1 - 506 + 333 - 194 + 10*k.\nAnswer: 8*k - 367","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6\/120 + w**5\/6 - 13*w**4\/24 + 5*w**3\/3 + 3*w**2\/2 + 47*w - 175. Let d(y) be the second derivative of z(y). Give d(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 260\/1872*-9 - (0 - (-2242)\/(-8)). Calculate the greatest common factor of 1023 and c.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q - 1. Let k(i) = -i**2 - 2*i - 1. Let z(x) = 7*x**2 + 3*x + 3. Let j(p) = 3*k(p) + z(p). Give -3*f(y) + j(y).\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4259 + -2?\nAnswer: 4257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skkkkskkks. Give prob of picking 3 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21948 divided by -3658?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6653299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - 0) - (-37 + 42).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 300720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000220 + -20012?\nAnswer: 210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-1\/3))\/(s*s\/(s*(s\/(s**(-18)\/s))\/s)*s))**(-48))**(-20))**(-20) assuming s is positive.\nAnswer: s**(-339200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 - 2*i**2 - 3*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -42. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-69)\/(-4) + 75\/100. Suppose g - u = -g. Let l be 2 - (-4 + g\/3). Solve 5*a - 2*i + 5*i = -l, -i = 2*a + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - d + 2*d = -10, -3*i - d = -8. Let l(s) = -s**2 + 5*s + 3. Calculate l(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132072606368 - -7.\nAnswer: 132072606375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 5, -2\/11, -4, -0.3, 42\/29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:29 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256 + 288. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 21, -4, 2 in increasing order.\nAnswer: -15, -4, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 14\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2 + -6 + 3405\/10. Let f be (-2)\/(-6) - i\/(-18). Suppose -2*g + f = 3*b, 0 = b - 3*b + g + 1. Solve -4*k - 7 + 0 = -r, -5 = -r + b*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 20)\/((-2)\/4). Let c = 80 - 84. Let y be w\/8 - 1\/c. Put -2, -4, y in increasing order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25018 + 47747. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {i: 1, k: 2, s: 3, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-9)\/(405\/300).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*o - 24 = 0, -2*s + 5*o = -4*s + 12. Let m = s + -2. Suppose 0 = -5*n + 5*p - 10, 3*n = -2*n - m*p - 19. Is -4 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -349 + 2382. Calculate the greatest common divisor of a and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4152 (base 16) in base 3?\nAnswer: -211221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/3 + (-4 - 7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 - 9 - 2*t**3 - 38*t**2 + 4*t**3 - 14*t**2 + 0*t**3 to j + c*t + o*t**3 + x*t**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 503160 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u - 3. Let o be f(-14). Let v = 205 - o. Let x be (2 - -2)\/((-1)\/(-3)). What is the greatest common factor of v and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6, 3*i - 5 = 5*i - 3*l. Is (16\/24)\/(i\/165) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9963101531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 421*m**2 - 43785*m + 94. Calculate q(104).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765105 and 2805?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(35\/(-28)*2))\/(1*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12317062 is divided by 457.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5928793*n**2 + 6*n - 625380027.\nAnswer: -11857586*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 71, -3\/5?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:56 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 753\/18 + 4\/24. What is the greatest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12431 (base 7) to base 2\nAnswer: 110011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Let h = 0.4538 + 0.0462. Which is the closest to -0.1? (a) w (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9\/d**(4\/5)*d**17*d*d**(-6) assuming d is positive.\nAnswer: d**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.15?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 9*w - 152. Suppose w*a - 4*a - 2174 = -2*l, 0 = l + 4*a - 1095. What are the prime factors of l?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -2*u + 243, 2*u - 31434 = -12*j. Is j a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (4 + 17) - 39 - 33?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/2*(-44)\/6. Let t be (-2 - (5 - 1))\/1. Find the common denominator of 151\/6 and ((-138)\/i)\/(2\/t).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:14 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3972 take away 8?\nAnswer: -3980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**3 - 3*q**2\/2 + 6*q - 1. Let y(x) = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 8*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = 45. Suppose -9 = l*b - 49. Let p(x) = -x**3 + 5*x**2 - 6*x + 2. Calculate p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x = -10. Let f = 332 - 330. Suppose 0 = -8*m + 5*m + a + 15, -3*m - f*a = -6. Solve -x*b = -b + m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/2 of a minute?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 21866251?\nAnswer: 21866251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 - 4*s + 6. Let f be g(-5). Let l be (3 + -7)\/((-2)\/8). What is the greatest common divisor of l and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.2 (c) -2\/3 (d) -0.3 (e) 2 (f) 215 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42610, 42599, 42574, 42529, 42458, 42355, 42214, 42029?\nAnswer: 41794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*m + 139*m - 2 - 64*m.\nAnswer: 9*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r + 5. Let g(u) = 7*u + 6. Let n(p) = p. Let v(t) = -g(t) + 4*n(t). Let s(k) = 8*k + 12. Let y(j) = 3*s(j) + 5*v(j). Determine 7*l(w) - 6*y(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(2 + 2*b**2 - 2)*(-2 + 3 + 1).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 121*p = -122*p, 0 = 3*y + 3*p + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -15. Let f(w) = -4*w - w + w + 1 + x*w. Let n(h) = 2*h - 5. Determine -5*f(y) - n(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j + 4. Let w(f) = -f**3 + 2 - 3*f**2 + 11*f**2 - 4*f - 4*f. Let k be w(7). Let r be t(k). Calculate the greatest common factor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, l: 1, x: 1, k: 1, d: 2}. Give prob of picking 1 d, 1 x, and 1 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3914.849 years to millennia.\nAnswer: 3.914849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -648 + 1029?\nAnswer: 8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s. Let k(l) = l. Let r(f) = -2*f. Let b(h) = -h**3 + 11*h**2 - 9*h - 13. Let t be b(10). Let o(z) = t*r(z) - 5*k(z). Determine q(o(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 - 4*r - 2. Let w be p(-2). Let m be (-4)\/(-10) - (-4)\/w. Let h = 4 - m. Solve -3*c = 3, 3*c - 4 = -h*s + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = -13*z + 273 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(4*sqrt(98) - sqrt(2)).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 360318 or -1072?\nAnswer: 360318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2434*t = -2431*t + 2*y + 24, -4*t - 4*y - 2 = 30 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d27d - 4bc?\nAnswer: 2cba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0, 0.2, 195, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*v = 2162, -t - 1562 = 2*v - 1980. Calculate the lowest common multiple of t and 8.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 8*k - 4. Let d be j(9). Suppose d*q - 2*n = -5*n + 196, -4*n - 144 = -4*q. Is 6 a factor of -7*(q\/(-7) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71900820 or -71900823?\nAnswer: -71900823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 28. Let r = -3 + h. What is the greatest common divisor of r and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4063806 minus -0.6?\nAnswer: -4063805.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - z**2 + 279*z + 1530. Determine g(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23119002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*q + 219 - 210, -4*q + 4*w - 12 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148 - -126) + 15 + (1 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2\/2 + 6*b - 3. Let y(c) = -2*c - 7. Let u(k) = -3*o(k) - 2*y(k). Let q(p) = -p. Let f be q(-5). What is u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 49 = -a + 60, -8*a = 4*o - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + ((-333)\/15)\/1 + 54\/45. Let a(b) = -b**3 - 21*b**2 - 18*b + 40. Determine a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103084878 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 32. Give m(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78384?\nAnswer: 2, 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.08 + -20.3. Let z = r - -0.22. What is the second smallest value in -1\/2, 0.4, z, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f**3 - 3*f**2 + 7*f - 7. Let g be z(-5). Let p be (-2)\/4 + g\/22. Let x = -24 + p. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -26. Does 14 divide (j\/(-14))\/(((-1)\/(-140))\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (164\/(-120) + (-4)\/30). Which is the nearest to 1\/4? (a) -3 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -12595 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)*2*5)\/(sqrt(900)*2 - sqrt(900)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 + 397. Suppose 2*f + g = 7*f. Does 31 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(1280) + -3*-1*sqrt(20))\/(-4*(sqrt(324) + sqrt(324)*-1 - sqrt(324))*1).\nAnswer: -13*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30304422 + 1011?\nAnswer: -30303411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 127*y + 1672 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-12))\/((-7)\/(-98)*-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 253600 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5912862 divided by 6.\nAnswer: 985477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -3\/28, -18, -4?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32749401*j**2 + 16932028 wrt j?\nAnswer: 65498802*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and -8580?\nAnswer: 308880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (4 + -5 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1145 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 26317915?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 14) to base 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g + 250 - 410 = 0. Solve 75 = 21*p + g*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/(-87))\/((70\/(-21))\/(-1)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 - 2*w + 1. Let m be c(1). Suppose -1 = -2*p + 2*j + 3, 4*p = m*j + 6. Calculate the smallest common multiple of p and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3315 - -3314.94. Let t = 1.38 + -0.91. Let l = t - -0.03. Which is the closest to -1? (a) 3 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Let a = 632 + -625. Let g = a - i. Which is smaller: g or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16365379, -32730752, -49096139, -65461546, -81826979, -98192444?\nAnswer: -114557947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.364 - 0.064. Which is the closest to i? (a) 0.3 (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 - 4*u**2 - 7*u**3 + 22*u - 17*u - 6*u as v*u + p*u**3 + n + f*u**4 + k*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19266 = 24*u + 19242. Let o(h) be the first derivative of h**2\/2 - 5*h - 1. What is the least common multiple of o(8) and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/207, -1\/1074, 4\/17?\nAnswer: -1\/1074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 345*h + 1241. Determine d(-4).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.72497966198+4\nAnswer: 5.72497966198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 4:35 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/6*(-38)\/(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/1*25\/2. Let v = -27263 + 27388. What is the highest common divisor of s and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*a + 40. Solve -28 = -0*z - 5*z - a*l, 2*z - 3*l = 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - ea?\nAnswer: -e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -62*b**3 - 4*b**2 - 2*b - 31. Is p(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -37. Is 3 - (-3 - (q - 4)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7455 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 2}. Give prob of sequence ooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 90\/445*(16 - 4719\/297)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*a + 7, -a = -5*y + a + 22. Differentiate 1 - 4*n + 2*n**4 - n**y + 4*n wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-2 - (-11 + 10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8436584 divided by 183404?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -3*t**3 + 1. Let z(i) = -i**2. What is z(w(l))?\nAnswer: -81*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*g + 6534 = 206*g + 493*g - 142*g. Solve -39\/2*i - 29\/2*i**2 - 1\/2*i**4 - g - 9\/2*i**3 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-513)\/(-57)*(-1)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3095899 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2. Let l(b) be the third derivative of b**7\/504 + 3*b**4\/4 - 39*b**2. Let d(t) be the second derivative of l(t). Calculate w(d(k)).\nAnswer: 75*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 14. Let i(f) = 1 + 6 - 3. Give 4*c(q) + 14*i(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 7. Suppose -4*u - 5 = -c + 27, -3*u = 4*c - 33. Calculate the remainder when m(4) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/3, -22, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 127 - 134 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(-11)*m)\/m*m))\/m**(1\/5)*((m*m**(-3)*m)\/m)\/((((m*m*m\/(m*m**(-3)))\/m)\/m)\/m*m*m))**(1\/17) assuming m is positive.\nAnswer: m**(24\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 15*v**2 - v + 94. Let z be y(15). Differentiate -6*x + 25*x**2 - 11 + z*x**2 + 6*x + 56 with respect to x.\nAnswer: 208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1 (c) 13927\/9 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/16)*b)\/(b*b**(8\/5)))\/(b*b*(((b*b\/(b**(2\/7)*b))\/b)\/b)\/b*b*b**7) assuming b is positive.\nAnswer: b**(-5111\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 - 1864 = -9*b. What is the highest common factor of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -9 + 3. Suppose 43*u + 51 - 567 = 0. Suppose u = -b - 3*b, 0 = m*r - b - 59. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -881 - -882. Let a = 11 - 11.02. Sort 1\/2, a, 3, v.\nAnswer: a, 1\/2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 11*a - 1. Let n be w(7). Solve -30 = 12*i - n*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10) + (-927)\/(-515)*(-36)\/(-76) - 2\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65208)\/171)\/44*(19 + -7)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdssrbr. Give prob of sequence db.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 877924 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (4 - 4))\/(-2) - -133. Let s = 44 + o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 8*k**2 - 7*k - 7. Let y(q) = 2 + 3*q**2 + 0*q + 0 - 4*q. Let m be y(2). Is d(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245287 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k**3 + 368*k**2 - 732*k**2 + 371*k**2.\nAnswer: 38*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/1*3\/6. Let i = 8 - 5. Solve i*u + 11 + 0 = 2*x, 4*u = 3*x - p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (112 - (10 + 154))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.2 (b) -1\/3 (c) 4 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:21 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 824 = -416*h + 127. Solve -h*y - 5*t + 4 = 0, -3*y - 3*t + 244 = 238 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + -6 + 2605\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 25*k = 24. What is the third derivative of 2*i**5 + 4*i**2 + k*i**2 - 3*i**5 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -25. Let r = w + 0.9. Let j = -61 + 60.7. Which is the smallest value? (a) 2 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 90*a**2 + 637*a + 7185. Give f(81).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 * -2172773.\nAnswer: 271596625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80321 - -114290. Is 79 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.8 - 46.4. What is the nearest to -1 in 2\/5, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 - 94 + 76 = -20*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c - 3. Let i(s) = s + 1. Let t(l) = -2*l - 3. Let u(y) = 8*i(y) + 3*t(y). Let q(a) = -6*g(a) + 13*u(a). Let k(d) = -d**2. Determine k(q(x)).\nAnswer: -16*x**2 + 40*x - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let m(f) = -7*f + 6. Let i(t) = 7*t - 7. Suppose -2*z = -0*x + x - 17, 0 = 2*x - 10. Let l(j) = z*i(j) + 7*m(j). Give c(l(p)).\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.41 + 13. Let m = c + -0.09. What is the third smallest value in 1\/3, m, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, p: 1, s: 1, q: 11}. Give prob of picking 2 f and 1 s.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -5 - (-6 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 251226.0312 - 251326. Let g = x + 100. What is g rounded to three dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 - 2 = 0. Suppose u + 0 = -q*g + 29, 0 = u + 5*g - 35. Let t = -6\/37 - -844\/185. What is the common denominator of u and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 183. Let x = y - 148. What is the fourth smallest value in -5, 2\/5, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 + 0 + (-11 - (-14)\/((-182)\/(-169))) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-3 + 5 - 3)*(4*c**2 - 2 + 2).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 448, 520, 592?\n\"Answer: 72*n + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 1025 + 1075 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21201102 + 0?\nAnswer: 21201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/177 - 40\/59. Which is the smallest value? (a) n (b) 0.5 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*v**3 - 447*v**2 + 10441*v - 550937697 wrt v.\nAnswer: -63*v**2 - 894*v + 10441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2634664 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.8527849 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -3, 1, 8, 3, -9, -124 in ascending order.\nAnswer: -124, -15, -9, -3, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52.266 and 0.6.\nAnswer: 31.3596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 8388*n - 5828865.\nAnswer: -3*(n - 1505)*(n - 1291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 + 166. What is the first derivative of -5*g**3 - 46*g**3 - g**a - 27 wrt g?\nAnswer: -156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(2*sqrt(343)).\nAnswer: sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/1 + 1 - -2. Suppose -i*f = -7*f + 8. Suppose 4*l + 16 = 0, l = -f*p + p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 52 = q. Find the second derivative of -l**4 - 14*l + 3*l**4 - 3*l**q + 3*l wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-47)\/(i*i*(i**2*i)\/i*i*i**(-2)) assuming i is positive.\nAnswer: i**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7))\/((4\/(-8))\/((-7)\/(-28)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13125?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let f(v) = -17*v - 69*v + 2*v. What is c(f(g))?\nAnswer: -84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 14 - 31 + 21 - 4*n. Suppose 0 = c - 8 + 7. Suppose 0 = b + c, -4*r + b + 5 = -20. Give i(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54922*v + 54934*v - 168 - 109877*v + 168.\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:20 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 1, n: 3, m: 4, v: 5, f: 1}. Give prob of picking 1 e, 1 m, 1 a, and 1 v.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from crcccrlccc?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*i**3*v**5 + 5*i**3 + 52*i**2*v - 173*v**5 wrt v.\nAnswer: -220*i**3*v**3 - 3460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95*x**4 + 1375*x + 126860 wrt x?\nAnswer: 380*x**3 + 1375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39209 and 2?\nAnswer: 78418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, 235, -162, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 11:00 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose -n + a*n - 67 = 0. Let h = n - 45. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 330 - 19799\/60. Let h(q) be the third derivative of -q**2 - 1\/2*q**3 + 0 + 0*q + 0*q**4 + k*q**5. Give h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, -6, -3\/26 in decreasing order.\nAnswer: -3\/26, -6, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*c**3 - 90*c**3 + 64*c**3)*(15 - 6 + 4)*((0 + 2 - 3)*(1 - 1 + 1) - 2 + 3 - 2) as q + w*c**3 + v*c**2 + i*c and give w.\nAnswer: 1924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {z: 1, f: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 3*k**2 - 6*k - 5. Let w be f(-4). Suppose -2*t - w*t + 20 = 0. Find the third derivative of -3*o**4 - o**2 + 3*o**t + o**4 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 82 = 2*o, -6*o = -o + 10. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2. Suppose 0*i - 3*i - 24 = 0. Let k(z) = -2*z**2 - 3. Let x(a) = 6 - 4*a**2 - a**2 - 14. Let g(s) = i*k(s) + 3*x(s). What is g(p(u))?\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = g - 666, -1332 = -2*g + 26*v - 27*v. Calculate the greatest common factor of g and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)\/y**(-5))\/((y*y\/y**(2\/47))\/(((y\/(y\/(y\/(y\/y**(2\/23)))))\/y)\/y*y)) assuming y is positive.\nAnswer: y**(23160\/11891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 514919*v - 514919*v.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1029 and 15.\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -16. Let t be 3496*2018\/k - 4\/10. Let y be (-3)\/(-4) - t\/(-72). Round y to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 11 + 31. Let n(b) = b**3 + 3*b**2 + 2*b + 3. Let f be n(-3). Sort f, w, 2 in decreasing order.\nAnswer: w, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnznnnznzzzzzznnc. Give prob of sequence zz.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/12*(1 + 0). Let k be ((-15)\/n)\/(3\/(-8)). Suppose k = t - 3. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1136979461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 + 133. Find the common denominator of (8\/(-14))\/(-14 + 4) and (k\/9 - 0)*(-640)\/(-32).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 10*d + 30. Let h(o) = -35*o - 257. Calculate the remainder when h(d) is divided by 0 + -7*(-1 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*(-951407 - 3*u + 955975 + 4*u)*(-1 + 0 + 2) as q*u + n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*q - 4*n + 29, n = 3. Suppose q*a + 0 = 6. Suppose -2*z = -2*k - 418, -3*k - 327 = -a*z + 95. What are the prime factors of z?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**3 + 47*l**2 + 5*l + 15. Let c(x) = 22*x**3 + 138*x**2 + 14*x + 42. Let y(h) = 5*c(h) - 14*f(h). Factor y(v).\nAnswer: -2*v**2*(v - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 10*f - 3*f. Let t(a) be the first derivative of -a**2\/2 + 3*a - 2. Let h(n) = -n + 2. Let q(c) = f*h(c) + 4*t(c). Let l(j) = 3*j**2. Give l(q(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -5, -8 in increasing order.\nAnswer: -8, -5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 176*r + 7533. Give h(108).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4030320, -8060661, -12091024, -16121421, -20151864?\nAnswer: -24182365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4466)\/(-145))\/(329\/470).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**4\/12 + y**3\/2 - y**2 - 54*y. Determine k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 6*b + 2. Let o be q(-5). Let f = 15 + o. Let j be 0\/(-2) + 0 + f. Solve -l = -i - 1, 2*l - 14 = -4*i + j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzzcm. Give prob of picking 1 c and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04215927 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1054096 divided by 4\nAnswer: 263524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 2 + 2)*(r + 2*r - 2*r)*(3 + 9 - 13)*(0 + 1 + 0) + 2*r**2 - r**2 - 6*r**2 + (-1 - r + 1)*(r - r + r) + r**2 - 3*r**2 + 4*r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 21*q + 65 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - o - 65. Suppose 4*m - 16*u + 20 = -10*u, -4*m = u + 20. Sort o, -4, 2, m.\nAnswer: m, -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95a153 (base 13) to base 3.\nAnswer: -20121011012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 17*a**2 + 78*a + 9. Let m be g(10). Solve m - 35 = 27*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 10457230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4*w**2 + w + 4. Let q be s(-4). Suppose 5*y + 0*k = k - 19, -5*k + 11 = 3*y. Let a be y\/(30\/4)*5. Sort q, 4, a in ascending order.\nAnswer: a, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.58 - -6.18. Let t = h - 6. Which is the closest to -0.2? (a) -0.2 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137.72876 + 21302517.\nAnswer: 21302379.27124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 13 + 21. Let v = 14 - 38\/3. Suppose 5*k + i = -15, 2 = -i - 3. Put a, k, v in ascending order.\nAnswer: k, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3234927?\nAnswer: 3, 23, 173, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z - 90 = 33*z. Is 11\/368 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 2*j - 4*j + (-2 - j + 2)*(1 - 3 + 3) - 25*j + 175*j + 6*j to c + t*j and give t.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61239219 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-104))\/(3\/2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t\/t**(2\/9)*t))\/(((t*t\/(t*t**(-3\/2)*t*t))\/t)\/t)*t**(-3\/7)*((t\/(t\/(t*t*t**(-7))))\/t*t)\/t assuming t is positive.\nAnswer: t**(-971\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5 - 3\/5*k - 3\/5*k**2 = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*t + 4832 + 80*t - 11*t - 4809 in the form i*t + h and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036\/503787 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 32*c + 262. Determine g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -z - p, -5*z + 39 = -9*z + 3*p for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 237 * 2\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose 14 = s*g - 2*o, -17 = -3*g + 2*o - 1. Suppose g*i + v - 25 = 8, 4 = 4*v. Calculate the smallest common multiple of 4 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7981\/25 + 320. Calculate the common denominator of 32\/56 + 969\/(-189) and o.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 23. Let r = -16.3 + y. Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-22) + (-49308)\/(-88))*-2. Let s = -744 - w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 12:02 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111220122102 - 10202?\nAnswer: -111220210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 223, 5, -4, 2, -9, 65 in decreasing order.\nAnswer: 223, 65, 5, 2, -4, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -23.6. Let o = -0.4 - -0.9. What is the biggest value in 2, b, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 638235*z**2 + 1019829*z wrt z?\nAnswer: 1276470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71571*b**5 + 106511*b**2?\nAnswer: -4294260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 - (-18)\/(-5). Let y = 466\/171 + -56\/19. Sort -5, q, y in decreasing order.\nAnswer: y, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v + 8 = 43*v. Let w be 6\/33 - (252\/(-66) + v). Suppose -3*p + i = p - 10, i - 11 = -3*p. Solve -u + w*g - 5 = -p*g, 4*g - 8 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000157169921 rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**6\/72 + b**5\/60 + b**4\/24 + b**3\/3 - 1. Let y(p) be the third derivative of u(p). Let g = -1790 + 1789. Calculate y(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*2\/16*2. Let l be 1*(-5 - -2)*(2 - 1). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-30))\/((-10)\/(-25)). Factor -4\/3*j - 4\/3 - i*j**2.\nAnswer: -(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110967132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -2 + -4)*-4 + -2)**2 + 5.\nAnswer: -1936*sqrt(13) + 25657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482404.\nAnswer: 2, 13, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**1)*g\/(((g**8\/g)\/g)\/g))\/(g*g*g*g\/(g*g**(3\/7))*g\/(g\/(g\/g**3))) assuming g is positive.\nAnswer: g**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-12)*954\/742.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1786510.08 and 720?\nAnswer: 1785790.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8785 divided by 264?\nAnswer: -8785\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (-2 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9849929*k**4 + 3614837?\nAnswer: -39399716*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i + 313. Let h be f(26). Let c be (3\/(-2))\/(25\/2). Do c and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438466203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*o**2 - 154*o**2 + 376*o**2 - 70*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 67, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 45*n**3 + 19*n**3 + 25*n**3 - 2*n**4 - 5*n**2 + 6 - 6 to h*n + t*n**4 + r*n**3 + s + d*n**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39966*y**2 + 9*y - 1392.\nAnswer: -79932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + 451. What is the remainder when (2\/3)\/(6\/g) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-4*n**2 + 0*n**2 - n**2)*(-n + 1 - 1).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 29, 30, 31, 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 454*f - 21792. Let m be c(48). Let x(p) be the first derivative of m*p**3 - 37\/4*p**4 - 5*p**2 - 15 + 0*p. Find the second derivative of x(a) wrt a.\nAnswer: -222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 4, -12\/65, -1, -4?\nAnswer: -12\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 8*g**3 + 7*g**3 - 2*g**2 - 8*g + 7*g**2. Give t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402190 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-1 + -2 + 8 - (40 - 33)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/(2\/(-2560)). Suppose -o + 3*o = f. Suppose 0 = -5*b - m + 328, 0*m = 4*b + 4*m - o. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/70)\/((-28)\/(-1344)*-9)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**3 - 139*r**2 + 66*r**2 - 31*r**3 + 73*r**2.\nAnswer: -54*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10 - 70 + 135*u - 136. What is the thousands digit of p(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 25 (b) -35\/8 (c) -4 (d) -0.061 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -70, 2\/7, 3\/2, 69?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 50 + 36 = -9*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/5)\/3)\/(20\/(400\/(-54)))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -1)*32\/10. Let h be z\/(-4) + 1 - -8. Calculate the highest common divisor of h and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 482\/14 + 24\/(-56). What is the greatest common divisor of 374 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2440 + -9827\/4. Find the common denominator of (-32)\/(-48) + 226\/(-72) and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.26 + -112.94. What is q rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q. Let m = -231 + 233. Let n(w) = 245*w**2 - 127*w**2 - 141*w**m. Give c(n(s)).\nAnswer: 115*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*m + 13, m = -m + 3*b + 27. Suppose 2*s + 76 = m*s. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -275 or -443?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/20 - 7*l**4\/12 - 3*l**3\/2 + 7*l**2\/2 + 9*l. Calculate h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) + (-10)\/(-4). Let r(c) = c**4 - 4*c**3 - 4*c**2 + 2. Let z(b) = -3*b**3 - 3*b**2 + 1. Let o(n) = f*z(n) - 3*r(n). Differentiate o(g) wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -60. Let s = d - -60. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in -2\/15, -6, -1347?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3213 - 3208. Let s be (5\/4)\/((-2)\/(-72)). Calculate the highest common divisor of u and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 365666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 439 and 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6))**40\/((i\/i**(2\/33))\/(i\/i**(-28))) assuming i is positive.\nAnswer: i**(382\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17498 - 16605. What is the remainder when u is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-104)*(-29510)\/19068?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 19. Suppose -9 = -2*v + 21. Let m be w(v). Solve -6 = h - 5*k + 4, 0 = -2*h + k - m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4 - 7*r**3\/3 - 4*r**2 - 6*r + 8. Let c(k) = -9*k**3 - 14*k**2 - 17*k - 11. Let d(u) = 3*c(u) - 7*g(u). What is d(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 9*v - 483 = -409, 88 = 4*i - 12*v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + 9. Let l be v(3). Calculate the remainder when 85 is divided by 29\/(-4)*(-1 + l\/2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 4*a + 75*a**3 - 72*a**3 + 5*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 3:46 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 68*m + 60*m - 82*m - 45*m.\nAnswer: -138*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose -4*u = -o*u + 3*u. Suppose t + 0*f + 3*f - 25 = 0, 4*t + 3*f - 55 = u. Calculate the lowest common multiple of t and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-66)\/(-18) + -3)\/(10\/375). Factor -25*s**3 + 6*s**4 - 35*s**2 - 108 + 218 - s**4 - 80 + r*s.\nAnswer: 5*(s - 6)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -31752736, -2 in descending order.\nAnswer: 2, 0, -2, -31752736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -10, 47, 176, 401, 746, 1235?\n\"Answer: 4*z**3 - 19*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = 18*b - 19*b, b = 2*z - 8. Suppose 0 = -7*i + 2*i. Let c(y) = z + i - 2 + 2*y. Let h(r) = -3*r**2. Calculate h(c(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 11 and 782222 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d - 3*d)*(7 + 8 - 3).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*v = -5, -5*x + 1 - 5 = -v. Let k be ((-9)\/(-6))\/(x\/(-14)). Solve -5*t - 1 + k = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 1. Let k(o) be the first derivative of 2*o**3 + 181. What is m(k(a))?\nAnswer: 18*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -973 divided by -19?\nAnswer: 973\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 22. Solve 2*g = -a - o*g - 11, a - 3*g - 17 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 5*z**2 + 3*z - z**2 + (-z**2 + 4*z**2 - z**2)*(-3 + 4 + 1) - z**2 - z**2 + 3*z**2 + z**2 + z**2 + 0*z**2 - 27*z**2 + 36*z**2 - 36*z**2.\nAnswer: -18*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**3 + 4*u**2 + 8*u - 31. Let v(r) = 11*r**3 + 9*r**2 + 18*r - 62. Calculate -9*b(y) + 4*v(y).\nAnswer: -y**3 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.78 + -22.78. What is the fourth biggest value in b, -2.9, 0.1, 4\/7, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 389 by 4021.\nAnswer: 389\/4021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9603046?\nAnswer: 2, 1487, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 356 = -5*k + 938, 5*k + 5*v - 590 = 0. What is the greatest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -196, -197, -198, -199, -200?\n\"Answer: -j - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 329847 + -97305083\/295. Let v = w + 20\/59. Let i(o) = o - 12. Let s be i(10). Which is the second biggest value? (a) v (b) 2\/5 (c) 5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 412.\nAnswer: -13\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 2*k. Let o(i) = -i. Let w(h) = -2*o(h) + p(h). Let d(b) = -8*b**2 + 4. Determine w(d(r)).\nAnswer: 64*r**4 - 64*r**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48320863 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.3 (b) -4 (c) -0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13462 + -4799. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 12) in base 14?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 24*m + 3071. What is y(45)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000367299 rounded to six decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67125 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2884357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -410\/3. Which is the biggest value? (a) 0.2 (b) 4 (c) y (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5970?\nAnswer: 2, 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1058412 divided by -264603.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112000011 + -11021?\nAnswer: -112011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.515912597 to 4 dps.\nAnswer: 2.5159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = -132. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbmxtpxmtmt. What is prob of picking 1 b and 2 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53848856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*x - 244, -3*s - 3*x + x - 193 = 0. Let r be (s\/(-14))\/(2\/24 + 0). Let o = -213\/4 + r. Calculate the common denominator of -17\/7 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -837771737 + 264.78.\nAnswer: -837771472.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 240415 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + 54*f - 2*f + (-3*f - 3*f + 7*f)*(1 + 4 - 6).\nAnswer: 56*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3 + 79436*m**2 + 2383755*m + 17879850 = 0.\nAnswer: -15, 79466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -115*g + 21669. What is r(189)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*s + 19884, 10*s - 24855 = 5*s + 2*g. Let c = -109343\/22 + s. Calculate the common denominator of 85\/6 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f - 248 = -18*f + 168 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-65)\/20 + 3)\/((-1)\/16). Let q(m) = -2*m**2 + 5*m. Calculate q(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 + -7.16. Let t = q - -6.5. Let s = -0.1 - -5.1. Which is the second biggest value? (a) -0.2 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5773*l + 158888 wrt l.\nAnswer: 5773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/13 + 256*f**2\/13 + 634*f + 15476\/13.\nAnswer: 2*(f + 2)*(f + 53)*(f + 73)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17\/8 + 15\/8. What is the biggest value in 3, l, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13124212 + -4?\nAnswer: -13124221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -5*w - 8 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 10. Let c = -24 - -7. Let z be s(c). Suppose -z*b + 17 = -4. Let a(f) = -f. What is a(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -245029088 * 1.\nAnswer: -245029088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 126 + 162 = -212 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o)**(-40)*(o\/(o\/(o\/o**(-3)))*o)\/o*o\/(o\/o**4)*o\/(o**7\/o)*o*o*o**1*(o**(1\/2))**(-42) assuming o is positive.\nAnswer: o**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 306*x = -617*x + 308*x - 75, 5*x = -130 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -566 or -9630\/17?\nAnswer: -9630\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2581 or 2585?\nAnswer: 2581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 88*t**3 + 3*t**2 - 2*t - 1. Let f be j(1). Suppose -5*m - 3*p - 332 = -9*m, 2*p = m - f. Let h = m - 62. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(33) - (sqrt(231)\/sqrt(7) - sqrt(33))) + sqrt(33))\/(sqrt(44)\/(sqrt(4) - -4*sqrt(4))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.29 - -5.6. Let m = -0.2 - t. Let y = 0.50932 + m. Round y to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/7, 0.4, -640, 0.1, -4, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 5*a - 6. Let q be m(-5). Let h be 14\/q + (-2)\/(-6). List the prime factors of 2\/h*(-12)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)*2)\/sqrt(10))\/(-2*sqrt(3)*2))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o + 3*v = 61*o - 43, 39 = 2*o + v. Calculate the greatest common factor of 796 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 143, 223, 301, 377?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 + 126. Suppose 0*f - 5*s = c*f - 44, -5*f + 4*s + 14 = 0. Suppose 0 + 6 = -3*a. What is the second biggest value in a, f, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15577675049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/2 + 2*s**3\/3 - 6*s. Find the second derivative of w(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2481 and 17330612.\nAnswer: 51991836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 411159.2us in seconds?\nAnswer: 0.4111592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33\/35 - 221\/805. Sort -2, 2, -0.5, h in increasing order.\nAnswer: -2, h, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(30))\/sqrt(10) + (3 + 1*sqrt(147))**2 + ((sqrt(576)*-2 - sqrt(576))\/((sqrt(1764) - sqrt(36))\/sqrt(3)))**2.\nAnswer: 43*sqrt(3) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 34*q + 172. Let f be d(21). Which is the closest to -2\/7? (a) -0.3 (b) 3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-6))\/d)\/d)**(-21)*(d\/(d*d\/d**(-31\/3))*d)\/d**(-5) assuming d is positive.\nAnswer: d**(-331\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*v = 81*v + 83 - 293. Solve -104*k = -114*k + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, 120924, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4 + 0 = 0, -7*o + 3*a = -16398. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3703196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/((-1260)\/538) + 3. Let v(j) be the second derivative of 1\/18*j**4 - 9*j - u*j**6 + 0*j**3 - 1\/60*j**5 + 0 + 0*j**2. Factor v(c).\nAnswer: -c**2*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0577 + 0.05689. What is y rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/(-42) + 3189\/42*10 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 4*i + 1. Let b be r(-2). Does 1\/25 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26519 divided by -25\nAnswer: -26519\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-330)\/(-88) - (7\/4 - 2). Suppose 21*d**4 + 48*d**3 - 3*d**5 + 24*d**o - 53 + 53 = 0. Calculate d.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7020561?\nAnswer: 3, 2340187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002019 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -103, -104, -105?\n\"Answer: -z - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcc when three letters picked without replacement from xddxcxhtxtctxx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*-3 + 1.\nAnswer: -33*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113632734 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 432 = -28*b. Which is smaller: b or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 685540 and 1504556.\nAnswer: 1135939780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1161*t**2 + 2147*t**2 + 1751*t**2 + 257*t**2 to j*t + x*t**2 + k and give x.\nAnswer: 2994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-6) - 2 - -111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 74*f**2 - 6891*f - 26316.\nAnswer: (f - 129)*(f + 4)*(f + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 8 = 0, -5*z + 8*z + 4*q = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.5, 5, -0.81?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 155*a**3*v**2 - 21*a**3 + 27*a**2*v**3 - 290*a wrt v?\nAnswer: 310*a**3*v + 81*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 194957426.2 to the nearest one million.\nAnswer: 195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/7 + 1809\/21. Let g = k - 182. Let l = 163 + g. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -433, -26.5, 2\/179, -5 in ascending order.\nAnswer: -433, -26.5, -5, 2\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u - 4. Suppose -35 = -3*h + 31. Let q(o) = 16*o + h*o - 2*o + 21. Suppose -97 = -b - 93. Give b*q(f) + 21*t(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.5. Let i = -1819\/21 + 259\/3. What is the second smallest value in i, 1, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -659156442 divided by -6?\nAnswer: 109859407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-1) - 8\/(-4). Is -1\/10 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1165\/57 - -61\/3. Which is the closest to 2? (a) p (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5210, 41735, 140880, 333947, 652238, 1127055, 1789700, 2671475?\nAnswer: 3803682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-779)\/(-76)*592\/(2 + 0). Let t = 4751 - p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 6. Let o(g) = -g - 1. Let s be o(2). Let p be b(s). What is the units digit of -2*(-10)\/12*p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595288408 to the power of 1\/2, to the nearest integer?\nAnswer: 39941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0)\/(11 + -3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -19 - 13\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 10b3144?\nAnswer: 10b3147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/286 and 107\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 148662180?\nAnswer: 1040635260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, 8, 48, 40, -52, -264, -632, -1192?\n\"Answer: -6*z**3 + 30*z**2 + 4*z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 23. What are the prime factors of 6\/(-6)*u\/(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*q + 20, 2*q - 5*q = 2*b - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - k**3 + 27 - 24 - 3*k**4 in the form t*k + r + x*k**2 + g*k**3 + i*k**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/4319 and -15\/301?\nAnswer: 185717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 16. Suppose 2*o + 7 = -5*z, -5*z = -4*z + 2*o + q. Which is the third smallest value? (a) z (b) 2\/5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2749.02361 + -2749. Round c to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -352*r**5 + 368*r**3 - 676653*r wrt r?\nAnswer: -7040*r**3 + 2208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 16*s**2 - 21*s - 142. Calculate l(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11263 - -154664?\nAnswer: 143401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 1 - 1)*(4 - 2*h**2 - 4) + 2*h**3 + 5*h - 5*h as w*h**2 + q*h + d*h**3 + t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and -0.903.\nAnswer: 15.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 - 3*s**2 - s - 18. Let i(w) = -w**3 + 2*w**2 + 1. What is 3*i(b) + v(b)?\nAnswer: -b**3 + 3*b**2 - b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -585904, -585907, -585910?\nAnswer: -585913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 103. Let f = a + -30. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/((-25550)\/75) + (-1431)\/(-210).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d*g**3 + 2*d*g - 26*g**5 - 69*g wrt g.\nAnswer: 30*d*g - 520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 (base 6) in base 15?\nAnswer: eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -23. Let f = 41 - 45. Let v = 0.43 + -0.23. What is the closest to v in -5, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77808 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4\/18) + -5. Solve 4*a + 3*f = 5*f + z, a - 4*f = 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 333903.5 to the nearest 1000.\nAnswer: 334000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/31916082 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y = 6. Let k be y\/(-5) - 66\/(-15). Suppose -4*v = -g - 2, -v + 3*v + k*g = -8. Solve -3*u + 5*a - 14 = v, -6*u + 3*u + a + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 5*c + 3*c - 4 - c + 4 + 3*c - c - 3*c + (-4*c + 6*c - 3*c)*(0 - 1 + 2).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:30 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.968 rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 101*l**2 + 4*l + 7. Let t(y) = -150*y**2 - 6*y - 11. What is -8*p(a) - 5*t(a)?\nAnswer: -58*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 2709 = 2763 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 34685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13516284149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 - 58. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10791989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by -5\nAnswer: -129\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = 2*z - h, 0 = -5*h - 5. Let x be 1 + z\/1 + -3. Let n(y) = y + 3. Let q be n(-5). Is q at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27149246 to the nearest integer?\nAnswer: 5210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d - 20. Let n(h) = 12*h + 55. Let l(g) = -4*n(g) - 11*s(g). Let r(f) = -1 - f + 1. What is l(r(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 26108235.\nAnswer: 7\/26108235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(14\/3)*v**(4\/25)\/v*((v\/(v*v**(1\/2)))\/v*v)\/(v\/((v*v**(-1\/3)*v*v)\/v)*v) assuming v is positive.\nAnswer: v**(449\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1558 and -69\/2.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyfyyyfyffyfyffyyy. Give prob of sequence yyf.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 36. Let p(f) = 3*f - 66. Let u(x) = 11*m(x) + 6*p(x). Let s(r) = r**2 - 71. Give u(s(a)).\nAnswer: -4*a**2 + 284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 0. Let q = z + 73. Suppose 0 = -17*g + 44*g - 297. What is the highest common divisor of q and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + 493\/51 + -11. Let b(a) = a**2 - a - 1. Give b(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 23 - 8. Suppose -5*o + 3 = 2*t - 32, a*o = t + 10. Suppose 15 = t*b, -y = 3*y - 5*b + 3. Put y, -3, 1 in decreasing order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -728343.9013 rounded to the nearest 100?\nAnswer: -728300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose t*o + 5*m = 60, -7*o + 120 = -3*o + 2*m. List the prime factors of (24\/20)\/(4\/o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35004 * 626.\nAnswer: 21912504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, w: 1, d: 4, e: 2, t: 7}. Give prob of picking 1 k and 2 t.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42197.25723 and -1?\nAnswer: 42198.25723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3232 = 3*m, 0*h - m = 2*h + 6464. Let v = -45205\/14 - h. Calculate the common denominator of 53\/11 and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -4)\/(-162 + 262 + (-5 - 3))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24160.99 - -24161. Sort g, 4, -12\/7 in ascending order.\nAnswer: -12\/7, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2907 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 2\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/11369384 and 45\/2?\nAnswer: 11369384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -1808*o**2 + 3624*o**2 - 1828*o**2 - 1833 - 7335*o = 0.\nAnswer: -611, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = 29*i - 1423 + 55 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5701?\nAnswer: 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b**3 + 2*b + 1. Let p be g(-1). Let f = 15 - -14. Let h(a) = 24 + a - f + 14. Give h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -17 + 5. Calculate the smallest common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-2\/19)\/a)\/a*a)\/a)\/a*a**(-6\/7))\/(a\/(a\/a**(-11\/4))*a**0*a) assuming a is positive.\nAnswer: a**(-1177\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*k = -2422463 + 17708423. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 362388773*g**4*l - 656364*l + 156 wrt g.\nAnswer: 1449555092*g**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0474114 - -2.69?\nAnswer: 2.6425886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -6 + 8 - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let d = 316973\/86820 - 4\/4341. Find the common denominator of d and 3\/i*(-83)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0091306239 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5328 and 149\/23976.\nAnswer: 47952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, b: 13, a: 4}. What is prob of picking 3 f and 1 b?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-4))\/(60\/(-45)*1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -817 + 4047\/5. Calculate the common denominator of (2\/(-5))\/(1\/(-23)) and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**7\/1155 + g**6\/660 - g**5\/22 + 23*g**4\/132 - 10*g**3\/33 - 6*g**2 - 4. Let s(h) = 0. What is h?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -6. Let o be 0\/5 - ((-6)\/39)\/a. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -44. Let o be (-15)\/20 + (-870)\/(-8). Let n = o + c. What are the prime factors of n?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srrrsssrsrsss. What is prob of sequence ssrr?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 651678406 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqo when three letters picked without replacement from acoqsqeessaaesssqss?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/(-36)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 3. Let o(t) = 5*t - 112. Let k(j) = -o(j) + 2*z(j). What is the remainder when k(6) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 30. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 - 12*m - 1. Let t(j) = -j. Calculate r(d) - t(d).\nAnswer: -3*d**2 - 11*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-18) - 6)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(858\/1638)\/((-1)\/7)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 14*v = 880. Let c = 449 + v. Solve -5*r + 2*r + c = l, 0 = 5*l - r - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 0. Suppose 0*j - 3*j = -9. Suppose -32 = -j*k - 14. What is the greatest common factor of k and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 116e0b - -5?\nAnswer: 116e11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + d = 704. Let v be (-8)\/3*198\/d. Suppose -3 = 7*q - v*q, -3*z + 1734 = 5*q. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:22 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 126*w**2. Let v(i) = 3798*i. Give v(o(s)).\nAnswer: 478548*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (-10 + (-20 - -11) + 23 + -14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/8, 1, -293369?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 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: What is the value of -8 - -3 - (-3 - -9 - (-5 + 11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180554 and 1624?\nAnswer: 5055512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 50. Suppose -78 = 6*z - 4*z. Let n = c - z. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-104)*8*(-2)\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12043, 46947, 105013, 186241, 290631, 418183, 568897?\n\"Answer: 11581*p**2 + 161*p + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1238*l = -1456*l - 2398 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*b + 19, v = 5*b - 7*b + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (-2 + 0 + sqrt(637) + sqrt(637) + 4*(sqrt(637) + sqrt(637) + 1 + sqrt(637)) - -5*(sqrt(637) + sqrt(637) + sqrt(637)*-2)*-5)**2.\nAnswer: 392*sqrt(13) + 124851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + b + 0 - 5 + 1 in the form l + m*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 - 132*b**2 + 12*b + 278. Give u(44).\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 5. Let x = -2 + c. Calculate the remainder when 6 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108377948 to the power of 1\/2, to the nearest integer?\nAnswer: 10410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203667 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2100043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 11200233033?\nAnswer: -11200233023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -57*s**2 - s - 4. Let n be t(-7). Let q = n + 25139\/9. What is the common denominator of q and -5 + 276\/108 + 0 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -3*o**4\/16 - 2*o**3 - 6*o**2 - 1. Find g, given that n(g) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -9*h - 60. Suppose -3*t + 4*p = -2094, 0 = -h*t - p - 88 + 1495. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, d: 7}. Give prob of sequence bdd.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*v = -30, -3*v + 6*v = 5*u - 40 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9)*(-13 - -7). Solve 13 - 17 = k*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417997, 424257, 434691, 449299, 468081?\nAnswer: 491037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814527093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2393\/1206 + -8\/201. What is the common denominator of p and -131\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d + 2880 = 16*d. Suppose 45*r - 96*r = -d*r. Solve -15\/7*s - 3\/7*s**4 - 33\/7*s**2 - 3*s**3 + r = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/(36\/96). Solve -b*a - 19 = 5*m, 3*m + 11 = -3*a + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s - 50*s = -2545452. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -4, -46, 0, -3 in descending order.\nAnswer: 0, -3, -4, -20, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 4) to base 13\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -157006871, -157006870, -157006869, -157006868, -157006867?\n\"Answer: g - 157006872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 271751145 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271\/4 + 68. What is the nearest to 0.3 in d, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 2. Differentiate 2*t**3 - 2*t**3 - 1 - m*t**3 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.976 + -1.01. Let y = j + -0.496. What is the smallest value in 3, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - 2*y - 5. Let w(a) = 9*a**2 - 3*a - 8. Let b(z) = 8*n(z) - 5*w(z). What is the units digit of b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*z + 24, -230*c - 2*z - 3 = -235*c. Determine g so that 0 - 10\/7*g**c - 2\/7*g**5 - 8\/7*g**4 + 0*g - 4\/7*g**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 871 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1934747.\nAnswer: -3\/1934747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -106, -72, -12, 80?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 - k + 6. Calculate w(-7).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - -241?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 2. Let f(t) = t**3 - 2*t**2 + 1. Let o be f(-1). Let l be x(o). Suppose 0 = -3*g + l*g - 78. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -300.8, -1\/358, -15 in increasing order.\nAnswer: -300.8, -15, -2\/5, -1\/358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 92*q**3\/3 + 145*q**2 - 250*q\/3.\nAnswer: q*(q - 25)*(q - 5)*(3*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6416456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27) - 32\/(-18). Let o(f) = -f**3 + 3*f**2 - f - 2. Let q be o(s). What is the nearest to -1\/4 in 1, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1389303751 to the nearest integer?\nAnswer: 37273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 168480718 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1152 - -1156. Let c(m) be the third derivative of 12*m**2 + 0 + 1\/630*m**7 + 1\/36*m**5 + 0*m**3 - 1\/90*m**6 - 1\/36*m**s + 0*m. Solve c(f) = 0 for f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/19 and 0.0442 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 1, s: 11, e: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -2, 573.\nAnswer: -3, -2, 6, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713722 is divided by 178429.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 - 637*r - 6479. Determine y(-10).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 217543243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - ((-93 - (-34 + -8)) + -32).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 285421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73.6 + 71. Which is the closest to 1? (a) 0.1 (b) n (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 88 = 2*s. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 42*m - 213. Let s be r(5). Suppose -s*n = -20542 - 3428. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -732 (c) 3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 22 - 2. Let g = 8 - y. Let j be 3920\/g*(-6)\/(-4). Round j to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98768147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.02, -0.7, 0 in decreasing order.\nAnswer: 0.1, 0, -0.02, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83\/1701 - -353393\/8505. Factor 32\/5*d + 338\/5*d**3 + n*d**2 + 0.\nAnswer: 2*d*(13*d + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 97*k + 10. Let s(p) = 108*p + 11. Calculate -6*b(j) + 5*s(j).\nAnswer: -42*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10066083.17 rounded to the nearest one thousand?\nAnswer: 10066000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8628 + 4.\nAnswer: -8624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1415 - -2332. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 53*b**2. Let p(f) = -13*f**2 + 9*f. Let s(u) = 3*u**2 - 2*u. Let x(w) = 2*p(w) + 9*s(w). Calculate z(x(l)).\nAnswer: 53*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -4\/179 (c) -494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9*-1.4788.\nAnswer: 8.72492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 26. Suppose 2*d - m*t = -2*t + 124, d + 5*t = 32. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -607.42522 to 0 decimal places.\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - (3*sqrt(228) + sqrt(57) + sqrt(57)))\/((sqrt(36)\/sqrt(6) + sqrt(6))\/sqrt(2)) + 5.\nAnswer: -7*sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 - 37*z + 678. Give u(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -1 + 26. Suppose l = 2*v - v. Find the first derivative of 13 - v + 2*o**4 + 11*o**4 wrt o.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18541 at least -18543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = 3*g. Let n be 0 - -2 - (g + 4). Let z be (-2 - -3)\/(n\/4). Solve -z = 5*w - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -223725178 or -223725179?\nAnswer: -223725178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 190 = -582. Let p = x - -71. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6*(-5)\/(5 - 35)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-2 + 4 - sqrt(72))**2 - sqrt(72))*1 + (-5 + sqrt(72)*1 + sqrt(72) + 2 + sqrt(72))**2.\nAnswer: -258*sqrt(2) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*i - 2*y - 4, 0 = 2*i + y - 6. Suppose o = -i*o + 12. What are the prime factors of 1\/(o\/12 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.228*-0.4.\nAnswer: -0.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5. Suppose q + 4 - 3 = c. Let z be (q\/(-1))\/((-1)\/(-1)). Put 2, z, -5 in descending order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7533864 or -0.1?\nAnswer: -7533864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 50670.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -133430 (base 5) to base 16\nAnswer: -1572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 56. Suppose 293 - d = 23*m. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -8799\nAnswer: -1759.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 5 = 43. Is j + 42\/7 + 625 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11093899\/24275790 + 2\/391545. Calculate the common denominator of 11\/57 and f.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 18549*g - 18552*g - 7 + 37, 2*q = 7*g - 68 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 522 and 9?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 276?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 + -26 - 36 - 63.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*v - 425 + 355 = 1261 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-492)\/4140 - (-16)\/120)*-9?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/6 - 0) + 63\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 84. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:41 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 9. Let a(c) = c**2 - 1. Suppose -2*w + 19 = -3. Suppose -w = 4*s + 9. Let b(d) = s*a(d) + p(d). What is the derivative of b(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/75 (b) 5.4 (c) 126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2466 - -2531) + (-139 - -1)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)\/(m\/(m\/(m**4*m))))\/(m*m*m\/m**11*m*m*m**13*m))**(7\/3) assuming m is positive.\nAnswer: m**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.77 - -9.87. Which is the second biggest value? (a) g (b) -2 (c) 4\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12174\/7 + 1735. Let n = 0.062 + 0.138. What is the third smallest value in t, n, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2806*l + 5617*l - 2807*l. Let h(i) = -i - 3. Let a be h(-7). Let n(r) = -r + a*r + r. Give x(n(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3\/5 + 152*k**2\/5 + 492*k\/5 = 0.\nAnswer: -3, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -494*w**2. Let u(d) = -3*d**2. Determine u(m(j)).\nAnswer: -732108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = 0, -4*c + 431 = u - 79. Let w = c - -116. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 4*b - 0, -b + 3*l = 9. Suppose 2 = b*h - 1. Is 4\/7 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y. Let c(f) be the first derivative of 131*f**2\/2 + 3*f - 3185. Determine n(c(l)).\nAnswer: -1572*l - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 31*b**2 - 3 + 3 - 18*b**2. Let h(l) = -l. What is j(h(r))?\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -27. Let s(n) = 2*n - 7. Calculate s(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 5, -4, 4 in ascending order.\nAnswer: -4, 4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 - 115. What is the units digit of (-1 - (g - -2))*-11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j + 180. Let v = 22 + -10. Suppose 2*g + 5*q - 75 = 0, q - 21 = -g + v. Calculate the highest common factor of j and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 take away 1.0316019?\nAnswer: -65.0316019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37711166635 minus 2?\nAnswer: -37711166637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 15*z**2 - 5*z - 20. Let j be d(10). Let p = j + -161. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52046 divided by -1814.\nAnswer: 26023\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 298*a + 9249. Let h be u(-31). Solve -73*f - 504 = h*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -5)\/(0 - 1). Let g = z + 9. Let i(u) = u**2 + u**2 - u**3 + 14 - 9*u**2 - g. Determine i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 2. Let q be x(2). Let w be (-1 - (12 - 2))*-2. Let t = w + q. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-3)*-4)\/(-2). Let s be 5 - 4 - (-2 - -2). What is the first derivative of s + 6*n**2 - h*n**2 + 4 - n**2 wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20115 by -4.\nAnswer: 20115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g - 28. Let x be y(6). Suppose -4*i + x = 24. Let l(v) = -3*v - 3. Determine l(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 106452.\nAnswer: 106452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 979969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/2, -24\/7, 2, -3?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*o - 17 + 21, -3*o - 9 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -65*r**2 + 4*r + 362. Let l(t) = 8*t. Determine w(l(k)).\nAnswer: -4160*k**2 + 32*k + 362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 115716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12006 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2304 = 17*g - 29*g. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -100*q**2 + 779*q + 879 = 0. What is q?\nAnswer: -1, 879\/100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-6)*((-3)\/2 - 0). Let f(b) = 58 + 8*b - 7 - 64*b + 4. Is f(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/39 + (-296)\/(-104). Solve -k = -3*a + 6, k = -a + 1 - m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a day in minutes?\nAnswer: 43920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-114 - -90) + -1 + 16 + -43 + -1 + 10\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33737 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 398706 and 84.\nAnswer: 797412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28 - -0.02. Let o = 0.1 + j. Let s = -0.019 - -0.219. What is the nearest to s in -0.4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77014.0055 + 76985. Let u = -29 - k. What is u rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 7. Let g be h(6). Let x be (1 - 0 - 1)*(g + 12). Solve x = 7*z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -4. Let a(z) = 34*z - 7. Let b be a(o). Let j = -122 - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**10\/u))\/u*u**1)**(-1\/5)*(u*u**1\/u*u)**(2\/105)*u**3\/(u\/(u\/(u\/(u*u**(-5\/4))))) assuming u is positive.\nAnswer: u**(1423\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88254?\nAnswer: 2, 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10 and 30\/(14376\/18 - 8)?\nAnswer: 5930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*h**3 - 76*h**2 - 44*h = 0. Calculate h.\nAnswer: -11\/8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 3\/((-156)\/(-148)). What is the second smallest value in f, 0.1, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 140803.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/4)\/(6\/(-12)). What is the greatest common factor of y and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57443*b**3 + 13225*b**3 - 76466*b**3.\nAnswer: -120684*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-7)*r)\/(r*r*(r\/r**(-4\/3))\/r)*r*r*r**(-1\/9)*r\/r**(-6) assuming r is positive.\nAnswer: r**(131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55582932431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.5, -39, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4171163 (base 8) to base 15.\nAnswer: 16e12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-28)\/(l*l**(10\/11)\/l*l)*(l*l\/(l\/l**26*l))\/l*l*l**(-5\/6) assuming l is positive.\nAnswer: l**(-313\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:14 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -20.2. Let z = r - 0.2. Which is the smallest value? (a) z (b) 2\/17 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 1464162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*d**2 - 11 + 11)*(2*d - 2*d + d**2) to the form o + k*d + a*d**4 + n*d**3 + c*d**2 and give a.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 899*b**2 + 5387*b\/2 - 1795.\nAnswer: (b - 1795)*(b - 2)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11462, -22928, -34394, -45860, -57326, -68792?\n\"Answer: -11466*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 r when four letters picked without replacement from rrxxrrrrrrrxrrxrrx?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26319834 and 240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 2*f - 13*g + 17*g, 4*f - g = 226. Let n = 64 - f. Calculate the smallest common multiple of n and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 907*z**6\/20 + 1741*z**5\/30 + 5*z**2 + 27*z + 4. What is the third derivative of b(w) wrt w?\nAnswer: 32652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17827112 and 1032?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-16)*(-3)\/(189\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3146 = 4*o - 26. Suppose o = -5*r + 2328. What is the common denominator of 13\/20 and 2\/8 - r\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101001110100100 (base 2) in base 5?\nAnswer: 23434040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 1. Let m(l) = 2*l - 2. Let t(g) = -f(g) + m(g). Let r(s) = 7 - 7 - 2932672*s + 2932673*s. Determine -6*r(w) + t(w).\nAnswer: -5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4 - 2 + 5 + 0 + (3 + 0 - 1)*(-1 + 3 - 4))*(0*r**3 + 0*r**2 + 3*r**3 - 2*r**2) in the form y*r**3 + q*r**2 + a*r + j and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12991108*i**2 + 112826*i + 8059. Let q(h) = 8059*h**2 + 70*h + 5. What is 8059*q(r) - 5*s(r)?\nAnswer: -8059*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 561 - 1699 + 303*y + 563 + 571 as o + x*y and give x.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15739374977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**9\/37800 - d**8\/8400 + d**7\/6300 + d**4\/2 - 8*d. Let c(i) be the third derivative of v(i). Factor c(x).\nAnswer: 2*x**2*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78521 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 7*z - 462. Suppose z*l = 30*l + 12. What is the smallest value in -0.5, l, 2\/7, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-200) - 11\/(-24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 268\/31 + -4137\/310. Calculate the common denominator of -23\/12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/21 - (-22)\/7. What is the second derivative of 511*l + 1 - 1 + 14*l**v - 510*l wrt l?\nAnswer: 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:33 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -11. Suppose 0 = 2*b - 30*y + 35*y - 385, -200 = -b + 5*y. What is the greatest common divisor of t and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534997 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: Do 802 and 63.32 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, 2\/11, -4 in increasing order.\nAnswer: -4, 2\/11, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2233, -2228, -2223, -2218, -2213?\n\"Answer: 5*m - 2238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 894.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 - 3 - (6 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, g: 12}. Give prob of sequence bbg.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:15 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*a - 344 = -402*a - 84 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.009 - 15.991. Let x = -17 - m. What is the third biggest value in x, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2.1. Let p = v - 0.1. Let n = -29 - -29. What is the biggest value in 2, p, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18461454 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*y - 8 + 10, -4*o - 3*y + 14 = 0. Which is the nearest to -2\/9? (a) 3 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h + 108. Does 18 divide l(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 2*f - 2. Let o be c(3). Suppose -129*r + 84*r = 1080. Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.1, 12, 2, -0.062, -7\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 8*j - 55 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, y: 1, i: 3, x: 1, j: 1, f: 4}. What is prob of sequence ifir?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 - (-7 - 1430\/259). Let t = 51\/37 - m. Find f, given that t - 3\/7*f**4 - 3\/7*f**2 + 9\/7*f - 9\/7*f**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let a(n) = -6*n**2 - n + 3. Let j be a(-1). Let p = 2 + 1. What is the third biggest value in k, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1209 and 6.\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5*(-9)\/(-3). Let k = -17\/12 - -3\/4. Let y = -9464\/3 - -123026\/39. Sort y, d, 1, k in descending order.\nAnswer: 1, y, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 1:10 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 5*s + 2*s - 3*s**2)*(0*s - 2*s**2 + 0*s) to x*s + c + l*s**4 + a*s**3 + h*s**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/5654400 and -17\/3456?\nAnswer: 50889600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224239100 by 2.\nAnswer: -112119550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-240))\/((-1200)\/(-2880))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3726504966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994283 is divided by 994280.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**3\/6 + 15*l**2\/2 - 29*l - 32. Let v(u) be the first derivative of x(u). Calculate v(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 17. What is b(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*g**2 - 2)*(3*g + 1 - 1)*(40*g + 34*g - 73*g + 5) to j*g**3 + o + q*g**4 + a*g + u*g**2 and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 11:17 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3608 and 3256.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.2682kg in grams?\nAnswer: 948268.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*x**2 - 331*x**2 - 401*x - 18*x + 162*x**2.\nAnswer: 4*x**2 - 419*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 388673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356*g*o**3 - 57948*g*o + 4*g - 2*o**5 - 465*o**3 - 3*o wrt o?\nAnswer: 2136*g*o - 40*o**3 - 2790*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10110101010000011 (base 2) to base 4\nAnswer: -112222003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.06 (b) -4 (c) 8 (d) 0.5 (e) -2 (f) -1\/8783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - d**2 + 4*d. Let a(g) = -13 - g**2 + 5*g + 13 + 3*g**3. Let v(o) = 4*a(o) - 5*x(o). Find the third derivative of v(m) wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 92*u + 9*u**2 + 11*u - 180*u + 148*u - u**3 + 149*u = 0.\nAnswer: -11, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1499 + 6108. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23899*a*c**2 - 27814*a*c wrt c.\nAnswer: 47798*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u - 5 + 5)*(-u + 0 + 0)*(-u - 2 + 2)*(0 - 7 + 3).\nAnswer: 84*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, -0.3, 4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180147 and 54484.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - 2 = -24*t. Let w = 10\/461 - 6113\/5532. What is the common denominator of w and t\/((-120)\/124) - 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 3416*l**2 + 729316*l.\nAnswer: 4*l*(l - 427)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2) + 15\/(-8). What is the third biggest value in g, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22086988*h**3*n + 2*h**2*n + 6604364*h*n wrt h?\nAnswer: -132521928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4789, -19017, -42703, -75823, -118353?\nAnswer: -170269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11987000 - (9\/36 + 5\/(-20)). What is i rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 1045 + 738. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*f*n**3 - 2*f*n**2 + 2*f*n - 2*n**3 + 8*n wrt n?\nAnswer: 1332*f*n - 4*f - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1\/8 (c) 3 (d) -0.4 (e) 1 (f) -91616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceeccccrccrc. Give prob of picking 3 c.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 432237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 - 0.51. Let p = -5 - -3. Let r = -0.9 - -1. What is the nearest to r in -5, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let x = -39.2 + -8.8. Let p = x - -48.1. Is b <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8819537 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13108\/2204 - 1\/(-19)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 + 5*a**2 - 33*a\/4 - 27\/2.\nAnswer: -(a - 18)*(a - 3)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.11203297 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -314. Round h to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 47*x + 463. Give l(-12).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3616654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 k when three letters picked without replacement from ggukikggggfgugr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7172 + 6034 - 12638 - 3174 - 8382)*(-2 + 2 + 4*a) as g*a + x and give g.\nAnswer: -101328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 9:25 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.698 and 0.4?\nAnswer: 12.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2\/36*9*6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7741.803km to millimeters.\nAnswer: 7741803000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -102*l - 1674. Let t be o(-19). Factor -32\/3 - 108*h**3 - t*h**2 - 304\/3*h.\nAnswer: -4*(h + 2)*(9*h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.849 + 57. Let b = 0.011 + z. Round b to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 9. Let k be b(7). Suppose 4*m - 308 = -4*p, 5*p + 140 = -6*m + 8*m. Suppose -135 = -2*j - m. Solve 4*r + 0*r - 5*y - j = 0, 8 = k*r + y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**5\/30 - 2*a**3 + 15*a**2\/2 - 6. Let h(s) be the second derivative of f(s). Find the first derivative of h(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d0352 + -3?\nAnswer: 1d034d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11817*w = -609362 + 2098304 for w.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*a. Suppose 5*k + v = 30, 5*k - 4*v - 28 - 2 = a. Calculate the smallest common multiple of (8 - (2 + -2))\/1 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 27*y**2 - 2*y - 1. Let h = 528 + -529. Calculate j(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60886 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -24*m + 65. Give o(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/360 - t**5\/40 + t**4\/8 + 11*t**3\/6 - 2*t**2 + 10. Let f(r) be the first derivative of v(r). Determine f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 7*y - 4. Let g = 0 - -6. Let f be m(g). Solve 5*a + f = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**7\/1365 + 31*h**6\/780 - 2*h**5\/195 - 31*h**4\/39 - 2842*h**2. Solve o(d) = 0 for d.\nAnswer: -31, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, i: 2, n: 8}. Give prob of picking 1 n and 3 z.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-12)*r)\/(r*r**4))**(25\/3) assuming r is positive.\nAnswer: r**(-400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39771067069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = -0. Let k = -1 + c. What are the prime factors of (-15)\/k + (-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-150)*-8)\/((-2809)\/159)?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916039301 a multiple of 3862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 + 8. Let a be 3\/4 + (-6)\/8. Let c be p(a). Let g = -3 + c. Solve -2*s + 3*z - 4*z - g = 0, 3*s + 2*z + 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) 170591 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19 and 44\/12773.\nAnswer: 12773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 244486, 244485, 244484, 244483, 244482, 244481?\n\"Answer: -p + 244487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 225*s**2\/2 - 2.\nAnswer: (15*s - 2)*(15*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 42. Which is the third smallest value? (a) 39 (b) 1\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609*z - 17235 = 63762. Let n(b) = b**2 + 4*b - 6. Let d be n(-7). Let k = 53 - d. What is the highest common factor of z and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 11) to base 8.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/7 (b) 66 (c) 3 (d) 0.0134 (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 22 - 7. Let t be (-5)\/d*(-7 - -1627). Round t to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-2) + 0)\/(2\/(-79)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13319*h + 13315*h - 26657*h.\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151365086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 9) to base 12\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 12:18 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 73.5?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 301?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.48548? (a) 2 (b) -0.27 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 6*y + 5. Let m be n(-5). Suppose -a - a + 10 = m. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 33495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 - 6392336?\nAnswer: -63922a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 11136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 77*y - 1067. What is c(-20)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 6. What is r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m + 48*m + 24 = 4*v, -3*m + 4 = 2*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 590816527 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5280934*h. Let n(s) = s**2. Calculate n(i(v)).\nAnswer: 27888263912356*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 177180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v**4 + 0*v + v - 3*v**4 wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 32 - (311 + -297)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 37172*z.\nAnswer: -4*z*(z + 9293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.985423676 to two decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 37 + -7 - 7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 - 11*j - 2*j**4 + 7*j**4 - 45*j**3 - 8*j**4 + 16*j + 40*j = 0. Calculate j.\nAnswer: -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 106.9. Let o = x + -5. Let y = -0.4 + 1.4. What is the closest to y in 0.3, -0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (sqrt(1900) + -4)**2 - ((-1*sqrt(133) - sqrt(133) - sqrt(133))*-3)\/(sqrt(448)*2).\nAnswer: -1289*sqrt(19)\/16 + 1913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3589*q**4 + 365*q - 41*q + 7191*q**4 - 3603*q**4 as t*q + o*q**3 + w + d*q**4 + r*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-one fifths of a millennium?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 129. Let v = -127 - -547\/4. Let t = v + -343\/36. Which is the third biggest value? (a) t (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, 5, 26, 55, 92?\n\"Answer: 4*k**2 + k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84553 is divided by 215.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1854*i + 26*i - 390*i = -151980 for i.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10510 - -10509.9. Is j greater than or equal to 114.63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/4 (b) 0.3 (c) 2\/69 (d) 5 (e) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -10*n + 12*n. What is the common denominator of 7\/6 and ((-1)\/3)\/(n\/696)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*z + 8*z. Let p(s) be the first derivative of -s**2\/2 - 13*s - 1. What is p(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 6*m - 6. Let d be y(7). Let x = -11\/32 + 3\/32. Does x = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 251*y + 2087 + 2924 - 242 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -64606\nAnswer: 3\/64606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20224 (base 8) to base 3.\nAnswer: -102102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 (base 9) in base 11?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*q - 257 + 127 + 2*q + 131.\nAnswer: 59*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7399*-2.6.\nAnswer: 4.52374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14682360 and 280.\nAnswer: 14682360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**6 - 3*y + 3. Let s(b) = -b**6 + b**2 + 4*b - 4. Let a be (-2)\/(-8) - (-30)\/8. Let k(o) = a*l(o) + 3*s(o). Find the third derivative of k(g) wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-2\/3)\/w*w))\/(w\/(w**(1\/5)\/w))*w**8\/(w**(-12)\/w) assuming w is positive.\nAnswer: w**(298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let b(f) = 10*f + 4. Let z(o) = -b(o) + 6*j(o). Let v be z(2). Let p = v - -73. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-832)*24*(-2)\/6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = -8*q. Suppose -q*z - 5*a + 2*a = 21, 4*z = 5*a + 8. Let h be z\/(-2)*2*(-693)\/(-27). What is the highest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/35, 0.1, 48, 2, -0.1?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424998 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/2))**(-2\/19)*(y\/(y*y\/y**(-2\/5)))\/y**(-26))**(-4) assuming y is positive.\nAnswer: y**(-9248\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let j = 6 - 6. Suppose v + 2 - 4 = j. Solve -v*a - a - 3 = o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*((-1 - 0) + 3). Sort -2, d, -3 in increasing order.\nAnswer: -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 113 = -5*a + 539, -5*x = -15. Suppose -a = 5*z - 2*f, 0*f + 76 = -3*z + f. Let s = z - -33. Calculate the greatest common divisor of 81 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223407, 223392, 223357, 223296, 223203, 223072, 222897, 222672?\nAnswer: 222391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 - 6*m**2 - 59*m + 160. Determine r(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 2\/7, -17.958 in ascending order.\nAnswer: -17.958, 2\/7, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 58328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*h + 37 + 50, 3*h = 2*i + 183. Let j = -90 - i. Solve j = -3*g, 0*p = -3*p + 5*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**2 - 5*o**4 + o**2 + 6*o**4 + o**3 - 5*o**2 - 2*o in the form q*o + l*o**2 + g*o**3 + d*o**4 + p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -1. Let p = -1092 + 3281\/3. Let t = 0 + 0. Put t, w, p in increasing order.\nAnswer: t, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -139, 2 in decreasing order.\nAnswer: 2, 1, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 + 1740\/11. Which is the closest to 1\/2? (a) 2 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533bc4 (base 14) in base 3?\nAnswer: 201110112221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*2*2*sqrt(27)*4.\nAnswer: -2 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 3\/8, -1338, -4, 1\/4, 2\/13 in decreasing order.\nAnswer: 3\/8, 1\/4, 2\/13, -4, -26, -1338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/60 - (-39)\/15. Suppose 4*o = 3*p + 7, 3*o + h*p - 6 = 6*p. What is the nearest to o in -1\/2, 2.9, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*z - 4805 + 2376 + 2429.\nAnswer: 76*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 22 = 2815*d - 2813*d. Put -21, 3, d in descending order.\nAnswer: 3, d, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -385 - -404. What is the remainder when 73 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90 + 5c?\nAnswer: ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108 - -114 - (15 + 0)) + 1 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94654248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-9))\/(i\/(i*i*i**(-1\/4)*i))*(i**(-1))**(2\/9) assuming i is positive.\nAnswer: i**(-233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-5))\/(-1))\/(48\/360)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 3 - 3*k - 1 + k**2)*(-k**2 + 2*k**2 - 2*k**2).\nAnswer: -k**4 - 2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518582682 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/39 + 56\/(-26) + 4. Suppose -762 = -b*y + 2*d, 5*d - d + 754 = 2*y. What is the greatest common factor of 35 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 189. Let o = -68 + g. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 14*j**2 - 20*j - 16. What is the remainder when r(-15) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 105?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*b**3\/7 + 186236208*b**2 - 579401560*b\/7 + 64377952\/7 = 0. What is b?\nAnswer: -8047244, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*o + 5*m, 6*o - 3*o - 3*m = 3. Let h = o - -5. Suppose -4*g + 3*g = -h. Solve 0 = y - 0 + 4, g*t - 5*y = 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(147) - (1*sqrt(147) + 4) - (3 + (sqrt(147) - -1*sqrt(147)))) + -4)**2.\nAnswer: -4254 - 1848*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m - 121. Calculate l(5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 15, 1\/7, -0.4, 1\/4 in descending order.\nAnswer: 15, 1\/4, 2\/13, 1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*s**2 + 7*s**2 + s + s**2.\nAnswer: 12*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/7, -0.2, -4\/413?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -3 - 2)*-4. Let o = -9 + 11. Solve 0 = -4*f + 5*k + 24, o*k = m*k + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 10, 73, -68, -3 in decreasing order.\nAnswer: 102, 73, 10, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261790 and 507835.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*m + 46, -9*m + 10*m - 29 = -3*y. Solve m = -6*j - j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - -2) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13537, -9, -1, 0, 27 in decreasing order.\nAnswer: 27, 0, -1, -9, -13537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 + -3)*(10 + -17) - -4977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:18 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -140\/13 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -46 + 18. What is the tens digit of 3\/u - 144\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*q = 1, 2*c - q - 27 = -0*q. Let w(x) = c*x - 8*x - 21*x**2 + 8*x + 6*x. Let y(a) = -5*a**2 + 4*a. Give 2*w(t) - 9*y(t).\nAnswer: 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 27148650.\nAnswer: 162891900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 365?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 2*s**2 - 2*s. Let o(i) = -108*i**3 - 5*i**2 + 6*i. What is 6*c(b) + 2*o(b)?\nAnswer: -210*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3\/4 - 411*q**2\/4 + 12639*q\/4 - 12225\/4 = 0.\nAnswer: -163, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmkm when four letters picked without replacement from wijimwwmmikwww.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 140566468 to the power of 1\/2, to the nearest integer?\nAnswer: 11856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -298335 divided by 5?\nAnswer: -59667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*p + 15 + 174, 5*p = -3*x + 520. Let a be 0 + -1 + 1 - -104. Suppose 3*u - p + a = 0. Which is greater: 2\/109 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12477 * 0.06.\nAnswer: 748.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(c**3 + 2*c**3 - c**3) + 2*c**3 - c**3 - 2*c**3)*(4*c - c**2 - 4*c).\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u - 457 = 123 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -28156200 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -8 + 31 - 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 7) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*z - 27*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 1\/678, 0.06, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (4 - 5) + 2 + 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*s**5 + 172*s**4 - 625*s + 717*s**4 + 3560*s - 17*s**5 + 20*s**4 wrt s.\nAnswer: -40*s**3 + 10908*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233 - -237. Let h be (1\/(-3))\/((-39)\/117). Solve 3 = -u*d - h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/2)\/((-58)\/5945*-60))\/(4\/(-96)).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20464)\/(-17120) - 12\/10. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5025197 is divided by 1700.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:34 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 41*w - 49. Let p be l(7). What is the highest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13938 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**6\/20 + 49*z**5\/60 - 13*z**4\/3 + 8*z**3\/3 + 57*z**2 + 139*z. Let o(y) be the first derivative of x(y). Factor o(n).\nAnswer: -(n - 4)**2*(6*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 9) to base 4.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 50*w**2 + 122*w + 468. Is 20 a factor of h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 45*b + 464.\nAnswer: (b + 16)*(b + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-1)\/(-10))*(-121)\/((-27225)\/(-900)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7403, -8137, -10193, -14231, -20911?\n\"Answer: -110*m**3 - m**2 + 39*m - 7331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyiyjyyiiddydgid. Give prob of picking 1 g, 1 i, and 2 y.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -38 - 10) + 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3311\/6 + 44\/264. Let m be (3\/(1 + 5))\/(12\/l). Which is the closest to 3? (a) 3\/5 (b) 4\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62590 and 1870?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75, -587, -1977, -4683, -9143?\n\"Answer: -73*j**3 - j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 14 = 2*j + 20, -4*j - 10 = 3*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 5*s + 9*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 27*i + 42. Let w be m(28). Suppose -9 = 5*s - w*s. Solve -2 = -a + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4323 and 876783?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 3\/35, 1\/5, -2\/13?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 6:46 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731086899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + j. Let n be s(-1). Let d be (12\/n)\/((-4)\/(-2)). What is the third derivative of u**2 + u**6 + 5*u**2 - 5*u**d wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -504851713 or -0.1?\nAnswer: -504851713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 5*y)*((74 + 1 - 12)*(-3 + 2 + 2) - 23 + 6 - 2).\nAnswer: 176*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 78*g**2 - 159*g - 31. Let y be n(80). Solve y - 46 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y - 29*y - 34*y - 10*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 0, 4 in decreasing order.\nAnswer: 4, 0, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77234\/1886 - (-205)\/(-5).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/3050512 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 437, 888, 1339, 1790, 2241?\n\"Answer: 451*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70, -49, -4, 77, 206, 395, 656, 1001?\n\"Answer: 2*x**3 + 7*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1874*w + 3459. Is z(52) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*v + 2 = 7, 0 = -2*c + v + 1. Let f(b) = 3*b - b**3 + 2 + 4*b**c - 3*b + 6*b. What are the prime factors of f(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 + 45124*d**3 - 44424.\nAnswer: 4*d**3 + 135372*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*c - 18 = 0, -3*y - 3*c - 9 = -30. Suppose -52*h + 75 = -185. Solve 5*m = y*v + 2 - 17, -m - h*v - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(5 + p - 5)*(-2*p + p - 3*p)*(-2*p + 2*p - p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p - 1. Let j(a) = -a. Let c(k) = -4*j(k) + q(k). Let y(m) = m + 2. Let g(n) = 6*c(n) + 3*y(n). Let b(u) = -6*u. Determine b(g(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssii when four letters picked without replacement from {s: 5, i: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2 = f, -3*f + 23*k - 19*k + 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 10. Let d be j(-5). Suppose -r - d*w + 8 + 17 = 0, -r + 3*w - 7 = 0. Suppose 10 = r*x - 90. Solve -3*a + 7*a = -x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r + 2625. Does 125 divide w(-62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -1, 2384, -4 in increasing order.\nAnswer: -4, -1, 110, 2384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 18*m**2 - 28*m - 25. Let y = -148 - -134. Is s(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3 - -2)\/1. Let h(k) = -k**2 + k + 20. Let q be h(f). What is the units digit of 24\/q*10\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 774231751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/63 and -127\/1320552.\nAnswer: 9243864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + 3 + sqrt(1700) + 0))**2.\nAnswer: 2160*sqrt(17) + 61524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 6 + -2 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 736238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from jfjjkkjhj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (22 + -1 + 3)*1264963\/798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -83830*t**2 - 25 + 83829*t**2 + 3*t + 137 + (t - 4*t + t)*(-3*t + 4*t - 2*t).\nAnswer: t**2 + 3*t + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 12. Let c be -1 + (-66)\/h + (-3)\/(-6). Is c at least 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -75, 5, 323, -0.01, -4 in decreasing order.\nAnswer: 323, 5, 0.4, -0.01, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40587 - -8563835\/211. Calculate the common denominator of -51\/8 and r.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133 and 1159.\nAnswer: 8113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 17, 60, 123?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85.999978 + 86. Round r to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277957493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1304165153 to the nearest integer?\nAnswer: 36113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 e when four letters picked without replacement from xxeeeex?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(f - 5*f + 3*f) + (-5*f - 2 + 2)*(-1 + 5 - 2).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7162, -4, -2\/141 in descending order.\nAnswer: -2\/141, -4, -7162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g - 5*g**2 - g**3 + 64 - 64. Let l(o) = -o**2 - o. Calculate -20*l(k) + 4*r(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 173*i - 22. Suppose -63 = -6*d + 99. Is q(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 19156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2 and -53\/112079.\nAnswer: 224158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17860, -35589, -53344, -71137, -88980, -106885?\nAnswer: -124864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 152*m - 673. Let i be a(4). Let n = 0.1 + 0. Let j = 0.33 + -0.3. Sort n, j, i in descending order.\nAnswer: n, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 3\/8, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1134 - -1140. Let a be (2 - 3)*1*1. Let l(b) = -5*b**3 + b**2 + 2*b + 1. Let u be l(a). What is the biggest value in -3, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 0*j - j)*(3 - 3 - j) + 5*j**2 - 3*j**2 + j**2 + 6*j**2 - 3*j**2 - 4*j**2 + (-2 + 1 + 0)*(0*j**2 + 0*j**2 + j**2))*(-3*j + 0 + 0).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33330 = 495307*b - 495913*b for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854 = 981*c + 2089 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 73?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2073.\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -22?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 + 3*z - 2. Let x be l(-6). Suppose -d + x = -5*d. What is the common denominator of -36 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254 = 1022*y - 494*y - 550*y for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74189?\nAnswer: 74189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let k(h) be the second derivative of -h**3\/2 - 4*h. Calculate k(z(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31883.33 + 32187. Let s = 305 - d. Let k = s + -0.03. What is k rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**34\/(u\/(u\/((u\/(u*((u**(-3)*u)\/u*u)\/u)*u*u)\/u))*u*(u*u**1)\/u) assuming u is positive.\nAnswer: u**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i - 20. Calculate the smallest common multiple of k(-4) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**4 - 4*z**4 + 5*z**4)*(22 - 5 + 9 + 1 + 0 + 1 + (5 - 1 - 5)*(0 - 1 + 2)).\nAnswer: 243*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3179107 + -7?\nAnswer: -3179112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 0.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -17*g**2 - 121*g - 259. Let c(b) = -20*b**2 - 120*b - 262. Let s(x) = 5*c(x) - 6*j(x). Find q such that s(q) = 0.\nAnswer: -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 b, and 1 j when four letters picked without replacement from {x: 6, j: 2, b: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7236\/27135)\/(2\/180).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-133 - 30 - 25)*(k + 4*k - 4*k + 2) in the form g + v*k and give v.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2081 + -3831. Let b = 3987 - h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420289580 to the nearest integer?\nAnswer: 20501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 9:57 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1149 - -1233. What is the smallest common multiple of 132 and p?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70586.873 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express -13*i + 3 - 88*i**2 + 5*i + 90*i**2 in the form h + y*i + n*i**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h, 5*g + 12*h - 11*h = 55. Solve 3*m = 3*p + g, 5*p - m + 3*m = -27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10113786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 2. Suppose 92*j - 3312 = -119232. Let f = j + 1264. Solve -2*m + 3 = 7, c*i - 2*m + f = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:20 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 7*y**2 + 6*y + 5. Let s be c(-6). Suppose 12 = s*n - n. Let a = 27 - 19. Calculate the remainder when a is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11621 by 3.\nAnswer: 11621\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1412 divided by -52.\nAnswer: 353\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-6\/5))\/n*(n\/n**(-10))\/n)\/(n**(-2))**(-31) assuming n is positive.\nAnswer: n**(-266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(462)\/(sqrt(1584)*2))\/((sqrt(54) + (sqrt(108) - (-2*sqrt(108) - sqrt(108)))\/sqrt(2))\/(2*sqrt(225))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((1 - -2) + -28 + 24 + -59)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 6. Let t(x) = 1. Let s(w) = b(w) + 6*t(w). Let k(y) = -54 + 113 - 57 - 2 - 6*y. What is k(s(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/2)\/5*(-34)\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 24 = -3*z, -2*j - z + 3*z = 0. Let i(o) = 7*o**2 + 3*o - 19. Let h be i(j). Calculate the greatest common factor of 70 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**2\/2 - 381. Let i(q) = -8*q. Give 16*f(x) + 2*i(x).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = -6*c + 3*v, 5*v + 20 = 0. Suppose 3*q + 3*k - 18 = -c*k, 0 = 3*k. Solve s = -1 + q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 6198 - 18636 + 6194 - 4*p + 0*p + 6188.\nAnswer: -p - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22349148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3027 - -3247. What is the least common multiple of 220 and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12179*n = -12180*n - 5*b - 51, -b = 2*n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1368, 2736, 4104, 5472?\nAnswer: 6840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 1. Let a(l) = 2*l. Determine 5*a(z) + 3*s(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 7*n**5\/60 - n**4\/2 + 11*n**3\/6 - 6*n**2 + 3*n. Does 54 divide w(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 4*r + 943 - 6485.\nAnswer: 4*r - 5542","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(256)*-3).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -995*h**2. Let n(k) = 17*k**2. Determine i(n(s)).\nAnswer: -287555*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2\/2 + 22*o + 46 = 0.\nAnswer: -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(32) + 1.\nAnswer: 4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -12. Suppose 5*l + 2*x = 484, 5*l = 4*x + 277 + 195. Suppose d - 12 = -3*d, 5*d - l = -3*j. What is the greatest common divisor of n and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 36 = z. Let r be (-24)\/135*z\/16. Which is the biggest value? (a) 0.15 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -250\/3. Let y = 0.0834 + -6.0834. What is the nearest to y in c, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5030376*t**3 - 1256*t**2 + 825 wrt t.\nAnswer: 30182256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5878659 and 8.71.\nAnswer: 5878667.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 + 15. Let z(j) = -5*j**2 - 15. Calculate 3*d(i) + 4*z(i).\nAnswer: i**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2068 + 2284. Suppose -3*l = -7*l + 4*k + 872, -3*l + 654 = -k. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40800*f**3 - 22917*f wrt f?\nAnswer: -244800*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(((-5)\/19)\/(-5)). Let n be (u - 20) + 0\/(-2). Let q = 9273\/25 + -371. Is n at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 - 8 = 0. Let j = n - -21. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/49*-7 + 3. Let g be 2\/(-8) + (-5547)\/(-12). Suppose u = 5*j - g, -b*j - 5*u - 450 = -9*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (10 - 5) + 8\/(-2). Let r(w) = 7*w**3 + 4*w**2 - 8*w. Let o(n) = -6*n**3 - 3*n**2 + 7*n. Calculate y*o(h) + 5*r(h).\nAnswer: -h**3 + 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + -4 + sqrt(288))**2 + -4.\nAnswer: -24*sqrt(2) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b*((b**(-5)\/b*b*b)\/b)\/b)\/b)))\/b**(2\/11))**1*(b\/b**5*b**3)\/(b*b\/b**3*b**5*b) assuming b is positive.\nAnswer: b**(-134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, -1, 2\/3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + 10. Let k(m) = m**3 + 12*m**2 - 12*m + 7. Let o be k(-13). Is ((-4)\/o)\/(4\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - -62. Suppose u = 3*d - 804. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 3:04 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 times 286?\nAnswer: 49764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.86152 + -0.901. Let y = 0.23 - 0.19. Let z = n + y. What is z rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697808.8 tonnes to micrograms.\nAnswer: 697808800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m - 98. Let v = -7603 + 7627. Determine t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 6*s - 1. Let z be o(5). Suppose -5*y = x + 3*x - 6, z*x + 10 = 3*y. Let t(f) be the second derivative of -2*f**3\/3 - 167*f. Give t(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 23*i - 19*i + 23, -3*k + 2*i = -13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + (-22 - 14) + (9 - 14).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(44)\/sqrt(4) + (-2*sqrt(110))\/sqrt(10).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:13 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 6*k**2 - 8*k - 15. What is the remainder when l(-6) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:09 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/5)\/(25\/5))\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c + 36. Let t be (-8)\/28 + 2 - 4\/(-14). Solve -c = t*w + 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*n = 2*u + 2, 5*u = 2*n + 22. Let m(h) be the third derivative of 1\/60*h**5 + 0 - 1\/12*h**4 + 0*h + 2*h**2 + 5\/6*h**3. Determine m(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 14*r**2 - 16*r - 19. Let q be m(-15). Let l = -516 + 508. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1476, 0, -141, 23, -4.\nAnswer: -1476, -141, -4, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 16. Let i be w(8). Suppose i = -2*n - 4*n + 1770. Is ((-12)\/30)\/((-1)\/n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 10*d - 6 = 0, 5*n = 5*d - 20. Let g(i) = 2*i + 5. Let c be g(-5). What is the third smallest value in c, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263154805.\nAnswer: 5, 53, 993037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 3*x - 6. Let f be g(-2). Solve -2*t - f = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11388 divided by 6?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 305293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Suppose 51 = r*u - 2*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, -5.\nAnswer: -30, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 8*v + 3. Let j be h(8). Let m be (-12)\/2*(-42)\/12. Let d be 9\/(-2)*(-14)\/m. Solve 2*b + 4*z + 14 = 0, d*b + 0*z - j*z = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.051, -3, 2?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.580077 to 1 decimal place.\nAnswer: 105.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-65)\/(-15) + (-6)\/(-9). Solve -7 = h*y + 8, 0 = 5*u - 3*y - 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*g + 1. What is the nearest to -0.2 in -1\/5, 2, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452399*g + 452482*g - 2822 = 0 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-447)\/90 - (175 + -180)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.247622 centimeters to kilometers.\nAnswer: 0.00002247622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 463 - 518 = 0. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3517*v**2 + 3*v - 3 - 3578*v**2 to a*v + g + b*v**2 and give b.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 96*y - 1991. What is t(21)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7+-235860279.84\nAnswer: -235860272.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 - 2*j + 19. Calculate y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355685507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.027 - -0.867. Let p = x + 0.16. Let l = -40 - -159\/4. Put p, -0.2, l in decreasing order.\nAnswer: p, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -8. Let y be -4 + (2 + l)\/(-2). Is (-39)\/52 + (-2695)\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i - 5 = 26*i - 2*c, 3*i = 3*c + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from bbyybyyyyybyyy.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 7. Let j be y(3). Is -11 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 513\/4. Let g = -13\/20 + t. Suppose -5*r = 5*f + 15, -5*f - 17 = 8. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*j + 7*i, 5*i = -3*j + 10 - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.3 + -5. Let y = 285.6621 + -285.8. Let r = 0.0621 - y. What is the nearest to 8 in j, r, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-1)*(-66)\/(-15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 5*a**2 + 0*a**2. Let s(t) = 4. Let z(m) = 3. Let p(b) = 2*s(b) - 3*z(b). Let g(o) = -2*o + 6. Let d(j) = g(j) + 6*p(j). Determine d(h(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 - -111. What is the smallest value in r, -5, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - 2e2e10?\nAnswer: -2e2df6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 6*z - 3*n + 12976, 0 = -4*z - n - 51852. Let a = 163607 - z. Let x = a - -223429. Round x to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/30 + (-185326)\/(-570)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let a(w) = -6*w + 6802. Calculate a(n(q)).\nAnswer: 12*q + 6802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 6. Let a be j(-7). Let y(n) = -17*n**3 - n**2 + 2*n - 1. Give y(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -38.6.\nAnswer: 42.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124.76 - 2844.49. Let i = t + 2969.3200108. Let u = i + -0.07. What is u rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 6. Let s(o) = -3*o + 13. Determine -9*q(a) - 4*s(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) -0.06 (c) -670748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5 - 351*s**4 - 14138*s**3 - 196110*s**2 - 825525*s + 1036125 = 0?\nAnswer: -307, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5 - 1285*o**4 + 53075*o**3 + 3894965*o**2 + 27606440*o + 23765840 = 0 for o.\nAnswer: -31, -7, -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - f - 34 = 0, -g + 3*f - 10 = -2*g. Suppose 4*h - g = 17. Find r such that r + 2 - 7*r**3 + 4*r**4 + 2*r**4 - 8*r**4 - h*r**2 + 0*r**4 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 800562?\nAnswer: 1\/800562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2401\/3 - 2303\/3*w - 1\/3*w**3 - 97\/3*w**2 = 0. Calculate w.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135388188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017402 to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.394?\nAnswer: -0.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(2*z - 2 + 2)*(-z**3 + z**3 + 2*z**3).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186316 is divided by 177?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110010011100 - -101?\nAnswer: -110110010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 21*x**2 - 9*x - 587. What is z(-20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/11))**(2\/3))**4 assuming u is positive.\nAnswer: u**(104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 38*l**2 - 37*l - 15. Let o be y(-37). Let w(x) = x**3 + 15*x**2 - 2*x - 40. Let n be w(o). Is n less than or equal to -31\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**7\/1155 + a**6\/132 + 7*a**5\/330 + a**4\/44 + 268*a**2. Factor q(o).\nAnswer: 2*o*(o + 1)**2*(o + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z = 50*z - 10, q - z = -2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 807286062 - 807289952.80001. Let t = i + 3891. Let f = 0.2 - t. What is f rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/50 and -143\/126034470.\nAnswer: 630172350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + t + 39 = 0, 2*t + 24 = 134*y - 133*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368617 is divided by 7372.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*i - 13, 0*i = -4*i - 3*v + 15. Suppose -i*w - 2245 = -8*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5164195.\nAnswer: 5, 1032839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 54 = 0. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3*(-2)\/12. Let v(y) = -y**3 - 6*y**2 + 8*y + 7. Let h be 1*(-4 + 1 + -4). Let b be v(h). Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 161*r**3\/2 - 451*r**2 - r + 422. Differentiate v(z) with respect to z.\nAnswer: 483","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3299.12419086 - -3299.683669669148. Let a = 360.440521031852 + s. Let x = 361 - a. What is x rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, i: 9}. Give prob of sequence ui.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-1\/2)*s)*s)\/(s\/(s**(3\/4)*s)))\/(s\/(s**(-1)\/s)*s)**5 assuming s is positive.\nAnswer: s**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22045, -100 in decreasing order.\nAnswer: 4, -100, -22045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:07 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Let r = -1 + 1.04. Let j = -0.44 + r. What is the second biggest value in j, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*c + 27, 4*c + 1 = 2*h - 1. Let f be (c*(-7)\/6)\/4*-173. Let y = f + 154. Which is bigger: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -786*q**3 + 1058*q**2 - 1618*q**2 - 2979*q**3 - 2948*q**2 + 544*q**3 wrt q?\nAnswer: -19326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 21\/9 - 2. What is y in -2\/3*y**5 + 0*y**4 + i*y**3 + 0*y + 0 + 0*y**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -34*5*-3 + 6. What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-five quarters of a kilogram in grams?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m. Let l(c) = 2*c - 1. Let x(r) = 6*l(r) - 10*u(r). Let q(b) = 4*b - 3. Let h be q(2). Suppose h*n - 20 = n. Calculate x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 10*c + 12. Let p be j(6). Solve p = -i - 10 + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 383 - 173. Suppose 0 = 19*n - s - 151. What is the remainder when 550 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, x: 5}. Give prob of picking 2 i and 1 x.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15, 102, 5, -0.041, -5\/6?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13433?\nAnswer: 7, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 41866719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**3 + 1 - 1.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947 + (-1 - (8 - (-21)\/(-7)))?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -3. Let j = -5577.2 - -5577. Which is the fourth biggest value? (a) -2 (b) j (c) -0.3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -19*r**6\/120 + 17*r**5\/60 + 8*r**2. What is the third derivative of v(g) wrt g?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*h - 320, 4*h + 5*j = 3*h + 88. What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503b1 (base 13) to base 10\nAnswer: -143456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1668*i - 1663. Let t be p(-1). Let w = -35\/258 - 30\/43. Which is the fourth biggest value? (a) 46 (b) -2 (c) w (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (17\/(-42) - 34\/204)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1843 divide 168133204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(52)*-6)\/(sqrt(20)\/(-1*sqrt(5))) - (1 + sqrt(208) + -6*(sqrt(13)*2)**2 + 5).\nAnswer: -16*sqrt(13) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 48. Suppose 5*p - s = 40. Let y = p + 3. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -216*p + 215*p + 4*b, 2*p = 3*b + 177. Solve 51 = 21*t - p for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8749 + 8849. What is the greatest common divisor of 1475 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 28 - 224 = 0. Let v = 6 + -4. Suppose -2*s - v*j = -194, -j + l = 4*s - 207. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6324*m**2 - 11953*m**2 + 5632*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(112)*3 + sqrt(112) + sqrt(448)*-1)**2.\nAnswer: 48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 27*x**2 - 5*x. Let i(j) = 109*j + 9153. Let g be i(-84). Let r(z) = 82*z**2 - 14*z. Determine g*r(k) + 8*m(k).\nAnswer: -30*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 73.941. Let j = -1352 + 1352.141. Let a = x - j. What is the third biggest value in a, 2, 1.9, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/16 in 30, 0.495, -30?\nAnswer: 0.495","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -2 + 15 - (-34 + -8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 588772, 2355108, 5299014, 9420496, 14719560, 21196212?\nAnswer: 28850458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Let c(w) = -6*w - 4118. Determine h(c(m)).\nAnswer: -12*m - 8236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let h be ((-3)\/y)\/((-6)\/(-16)). Is (2\/h)\/((-1)\/28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24910 rounded to the nearest 100?\nAnswer: -24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754 and 50054?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79100\/420 + -203 + (-19)\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*c - 34*c + 34*c - 2*c + 0*c - 2*c + (1 - 1 + 1)*(-1 - c + 1))*(0*c + 0*c + 2*c**2) in the form b*c**3 + d*c**2 + g + x*c and give b.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*j - 3, 4*i + 18 = -3*j + i. What are the prime factors of 2 + -3 - j*5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 a when four letters picked without replacement from {k: 1, t: 3, g: 9, a: 5}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -424*h + 875. Let v be z(2). Solve 0 = 4*p - a + 22, -14*p + a - v = -9*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 30 = -0*z. Let g be (-80)\/z - (-4)\/6. Calculate the remainder when (11 + -2)\/(g\/4) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12048*j + 453881 = -126361 - 4591 - 17567 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/63, 0.1, -2, 0 in ascending order.\nAnswer: -2, 0, 0.1, 8\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160192486*u**3 + 100104545*u wrt u?\nAnswer: 961154916*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*x + 64*x + 216. Suppose 3*l - 3*z - 411 = 0, l + 2*z = z + 135. What is the greatest common divisor of x and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253 - -400. Suppose -i + 17 = -k. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 19 = -3. Suppose -29*k + o = -28*k. What is the second derivative of -i**4 + i**k - i**4 - 6*i**4 - 14*i wrt i?\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 17*c - 117. Let s be (-40)\/(-140)*49\/2. Let w be b(s). Solve g - w*g = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/3)*w)\/w*w**(2\/3)*w*w**(-9)*w\/w**(-1\/3))**(-1\/2))**(-10\/3) assuming w is positive.\nAnswer: w**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = -40*s - 33*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*l**3 - 441*l**3 + 219*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.85 - -0.45. Let s = f - 2. Let x = 2101 + -2096. What is the nearest to s in x, -1\/4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/8)*j)\/j)**(1\/4) assuming j is positive.\nAnswer: j**(-3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:59 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, t: 9, y: 3, p: 2}. Give prob of picking 1 p and 1 u.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 589308321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:19 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136478878 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 70 - (-37 - -96)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16547 is divided by 8104.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.003 (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14394645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 63794*y - 255144.\nAnswer: -2*(y + 4)*(y + 31893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 15. Let a be j(-6). Let o = -20 - a. Is -3 + (3 - -214)\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269113 = 21*k - 8*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583927159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/530 and 111\/2080.\nAnswer: 110240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 1\/2, -22802, 0.3, -75?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsz when three letters picked without replacement from zsssffozzsz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - -20 - (-5 + 10 - (0 + -9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99353660 is divided by 576?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/23)\/v**(-1\/16) assuming v is positive.\nAnswer: v**(-9\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)\/v**(-9))\/(((v\/(v\/v**9))\/v)\/v*v*v*v**(-1\/3)) assuming v is positive.\nAnswer: v**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-28))\/(1\/(2\/1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25998 is divided by 8665.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*c + 4018, -3*c - 251 = -m + 3779. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 49*i. Let h(u) be the first derivative of -u**2\/2 + 40. Give h(t(g)).\nAnswer: -49*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**2*j**2*w - 4*i**2*j**2 - 3*i**2*j*w**2 + i**2*w - 33*i*j**2*w**2 - 655*i*j*w + 2*i*w + 4*j*w**2 wrt w?\nAnswer: -6*i**2*j - 66*i*j**2 + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25125846.54 rounded to the nearest ten thousand?\nAnswer: 25130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2801*15336\nAnswer: -42956136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18452.4 + 244.867\nAnswer: 18697.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 10:29 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149 and 3739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 - (-4 - 3)) - (-214 + 244)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4043 + 5149. What is the highest common divisor of a and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-15))\/(4\/6). Suppose 0*r - 3*r - 17 = -4*o, z*r - 7 = -o. Suppose 239 + 576 = o*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*y + 74 = 0, y + 121 = -26*s + 21*s. Is ((-1277)\/1)\/(((-40)\/s)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**3\/2 - n**2\/2 - 4*n. Suppose -2*o - 1 + 13 = -2*h, 21 = -3*h + 4*o. Determine f(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrx when three letters picked without replacement from {x: 2, b: 1, r: 1, l: 1, a: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (8 - (6 - 1)) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*(4 - -2). Suppose -3*j + 2*s + 4 = 0, -z = -s - 3. Suppose -148 + 38 = -j*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*s - 38*s + 28*s - 231 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-6)*4\/(12\/231). What is the greatest common factor of w and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(15)\/(sqrt(3)*1))*-6)**2.\nAnswer: -216*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*p**2 + 5*p**3 - 28*p**2 - 35 + 13*p**2 with respect to p.\nAnswer: 15*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1178 - -1189. What is the smallest value in c, -3, -1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4837.8499 and -3.2.\nAnswer: -4841.0499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 greater than 5358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1956 = -16*n + 2124. Does 51 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1320 + -1221. Solve 0 = 5*h - 94 + y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71917270 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - v + 3*v + 6*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113945 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 469976.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k. Suppose 4*f - 3*f - 2*v = 9, 5*f + 2*v = 105. Let w(i) = -14*i + 20*i + f*i - 5*i. Give r(w(s)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 4. Let k be p(3). Let r = k + 3. Suppose r*a + 4*m - 3*m + 3 = 0, 0 = -5*m + 15. Does -2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**5\/330 + 3*l**4\/22 - 27*l**3\/11 - 35*l**2\/2 - 15. Let m(t) be the second derivative of o(t). Factor m(k).\nAnswer: -2*(k - 9)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223686.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (38 - -57) - 41.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1851.\nAnswer: -2\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 3*r**2 - 1. Let f = 213 + -216. Calculate s(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 3. Let l be t(0). Let n = 8 - 4. Suppose l*d - f = -2*d + 30, -3*d - n*f + 18 = 0. 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: Collect the terms in 335*r + 1 - 429*r + 3135*r.\nAnswer: 3041*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times -2.9?\nAnswer: 4.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5501 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6969188, 6969199, 6969210?\n\"Answer: 11*b + 6969177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80118769 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*g**2 - 220*g**4 + 488*g + 275*g**4 - 126*g**2 + 8*g**3 - 144*g wrt g.\nAnswer: 1320*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-272)\/32)\/(2\/(-24)). Solve -7*z - g = -123 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 + -92.5. Let z = -0.33 - 0.07. What is the nearest to 1\/9 in z, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-6) + 2\/6. Suppose 5*z + 25 = c - 4*c, -4*c - z = p. What is the units digit of 3 + (9 - c\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/1105 (b) 59\/4 (c) 3 (d) -2 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1308 and 155\/192252.\nAnswer: 20955468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w**2 + 0*w**2 - 3*w**2)*(-6 + 1 + 3) - 17*w**2 + 11*w**2 + 22*w**2)*(2*w**2 - w**2 + 3*w**2) - 2*w**2 + 2*w**2 - 2*w**4.\nAnswer: 54*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -820137, -820120, -820103, -820086, -820069, -820052?\nAnswer: -820035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344619 and 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**3 + g - 6*g**3 + 2*g**4 - 19444 + 19444 + 215*g**4 + (-3*g**3 + g**3 + 4*g**3)*(-4*g + 4*g + g) to y*g**3 + r*g + s*g**2 + o + p*g**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841721171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3021 + -1799. Let o = -7495\/1113 - -29\/318. What is the common denominator of o and d\/(-72) + (-4)\/(-18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -125*j**2 + 802*j + 5204. Give l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 - 5*w - 5. Let j(t) = -t**2 + t + 1. What is -f(o) - 5*j(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**9\/x)\/x)**(-45)*x**(12\/7)*x*x**(6\/5))**(2\/23) assuming x is positive.\nAnswer: x**(-24926\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 39694.33 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40278871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let d(k) = 208*k - 73*k + 166*k + 27*k + 7*k. Give d(r(a)).\nAnswer: -335*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-11)\/(-429) + (-456)\/54*3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1456 and -0.5.\nAnswer: -0.6456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y\/(y*y*y**0)*y))\/y)**(9\/8))**(-4\/17) assuming y is positive.\nAnswer: y**(9\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}