diff --git "a/data/dm_maths/full_data_1/10748_11255.jsonl" "b/data/dm_maths/full_data_1/10748_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10748_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f = -267 + 265. Sort -3, f, -1, 349 in decreasing order.\nAnswer: 349, -1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 67*d**2 - 191*d + 13147. Determine t(67).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, y: 4, n: 7}. Give prob of picking 2 n and 2 t.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + f**2 - 2*f - 27. Let g be s(0). What is the nearest to 1 in -1\/6, -3, -0.5, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzakakxzzxawkzxzwxzk. What is prob of picking 1 k and 1 l?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, b: 2, k: 3, q: 6}. Give prob of sequence bk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 38 = -3*p, 73 = 5*u - 0*p - 2*p. Suppose u*g - 10*g - 165 = 0. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -47.64. Let o = z - 1.3. Round o to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 101*y**3\/3 + y**2\/2 + 20*y - 97. Find the second derivative of p(u) wrt u.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 26 = -3*t, 2*g - 2*t = -1727 + 1743. Suppose -u + 23 + 27 = 0. What is the lowest common multiple of u and g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.5996 to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 8, 5, 3, -16488 in descending order.\nAnswer: 8, 5, 3, 0, -5, -16488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 131420?\nAnswer: -131414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90*43\/4128)\/((-12)\/832)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462\/1862 + (-6)\/57.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5142, 4778, 3790, 1866, -1306, -6038, -12642?\nAnswer: -21430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3589, 7153, 10705, 14239, 17749, 21229?\nAnswer: 24673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + 5*sqrt(700)*-3)**2.\nAnswer: 600*sqrt(7) + 157504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (46 - (-13706)\/(-220))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25401431.\nAnswer: 11, 31, 163, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymyyyyyyym. Give prob of picking 2 y.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50679697 is divided by 127979.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 155*j**2 + 295*j - 145.\nAnswer: 5*(j - 29)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3891613mm in micrometers?\nAnswer: 389.1613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {k: 2, d: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250a009 (base 11) to base 6.\nAnswer: -233253012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10 = -3*g, -4*g + w = 2*w - 15. Let r = 62 + -51. Suppose -2*m = -r*m. Solve m*u - 20 = g*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 10*i**2 - 11*i + 3. Let a be m(-6). Sort -20, a, -10.\nAnswer: -20, -10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/4 - b**3\/4 + 3*b**2\/4 + 5*b\/4 + 1\/2 = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/790536 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27384\/205 or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38815.\nAnswer: 5, 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 260 - 249 + 763 - 2*v - 250. Let g(i) = -19*i**2 - 3*i. Give y(g(m)).\nAnswer: 57*m**2 + 9*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6195 + 4350. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-27 + 3 - (13 + 2 - (-4 + 8))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 at most as big as -645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)*d*d**(-1\/5))**(-1\/26)\/(((d\/d**(-1\/2))\/d)**(1\/5)\/(d\/d**(-2\/3)*d)**(-1\/5)) assuming d is positive.\nAnswer: d**(-2819\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*q + 298*q + 2*q**3 - 4*q**2 + 3*q**3 as m + d*q**3 + t*q**2 + l*q and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 4, -6 in decreasing order.\nAnswer: 28, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Let s be (-3 - -1) + h - -57. Suppose 4*t - s = -5*z, t + 40 = 3*z - 5. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-14)*(-117)\/(-26)*108\/729?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272044083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2, -0.32, 8083, 0.3, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y - 62. Suppose -78 = -m + 6*m + 3*z, -2*z = 2. Let b be j(m). Calculate the highest common divisor of b and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**9\/20160 + q**8\/840 + q**7\/80 + 3*q**6\/40 - 11*q**5\/30 - 14*q**2. Let l(h) be the third derivative of i(h). Factor l(z).\nAnswer: 3*(z + 2)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405 - 405 - 206*s**3 + 253*s**3.\nAnswer: 47*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/59 + -41\/354. Let h = 143.4 + -143. Sort -5\/6, g, h in descending order.\nAnswer: h, g, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 17. Let j = -35 - -77. Calculate the remainder when j is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -29 (c) 60 (d) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 11101002002?\nAnswer: 11101002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 11) in base 12?\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 6947, 19498, 38093, 62726, 93391, 130082, 172793?\nAnswer: 221518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -910990, -911006, -911042, -911104, -911198, -911330, -911506, -911732?\n\"Answer: -p**3 - 4*p**2 + 3*p - 910988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from fhe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 + 36*u**2 - 6*u**3 - u**4 + 475*u + 2*u**4 - 33*u**2 - 103*u as k + o*u**4 + c*u**2 + y*u + p*u**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 67*l**3 + 3*l**2 - 3*l + 1. Let p(n) = -n**2 + 6*n + 28. Let j be p(-3). Calculate the remainder when u(j) is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -9644aa5?\nAnswer: -9644aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -966861 - -41361\nAnswer: -925500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a + 23 - 2*a - 5*a. Let b(u) = -8*u**3 - 150*u**2 - 148*u. Let f be b(-1). Let l be k(f). Solve -12 = -4*d + 5*s, 2*s = -l*d - 22 + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -6*sqrt(243)*3 + (sqrt(243)*-3 + 1 - sqrt(243)) + 4)*6 + 5)**2.\nAnswer: -140184*sqrt(3) + 4237513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 5*y + 7. Suppose 5*m = 2*x + 28, -5*m - 3*x + 22 = -11. What is the remainder when (3\/3 - 3) + 39 is divided by i(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 650775424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5872.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 14*f - 13*f + 1115, -f = -3*k - 669. Is 7 a factor of 6\/15 - k\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 1 q when three letters picked without replacement from qqtjts?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 4*f + 1822 = j, 4*f - 2444 = -5*j. Suppose -2287 = -11*p + f. List the prime factors of p.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 73*z**2 - 40*z + 129. What is w(37)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 8*m**2 - 5*m + 9. Let k(h) = -5*h**3 - 24*h**2 + 16*h - 27. Let t(g) = 3*k(g) + 8*q(g). Let c be t(7). Is (5\/(-1))\/(c\/6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - 6*(sqrt(68) + sqrt(68)*3))\/((sqrt(140)\/sqrt(7))\/sqrt(5)) - (sqrt(51)\/(-2*sqrt(9)\/sqrt(3)) + (5*(sqrt(17)*-1 + -3 - sqrt(17)))**2).\nAnswer: -1925 - 645*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.388, 20, 0.2, -0.6, 3, 1, 0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 2 = u - 2. Let y(q) be the third derivative of u - 2\/39*q**4 - 16\/39*q**3 + 17*q**2 - 1\/390*q**5 + 0*q. Solve y(v) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/12*(-14 + (-15 - -9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-128)\/12)\/(10\/(-15)). Solve 4*m - 3*x = -x - h, m = -3*x + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggg. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 40. Suppose -8 = -4*g - 2*z, -5*z + 0*z = x. Find the third derivative of -9*a**6 - a**6 + 0*a**2 - g*a**2 wrt a.\nAnswer: -1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3471.2 to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-11446)\/(-12) - 3) + (-22)\/(-132)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 + -2 + 2. Suppose 0 = -k + w + 1. Let u be ((-1)\/(-2))\/(4\/16). Solve -k = -2*n + u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 11. Let j(o) = o. Let c(f) = f**2 - 17*f + 7. Let w(i) = y*j(i) - c(i). Is w(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x**2 + 8*x**2 - x**2 - 9*x**2)*(-3 + 5 - 5).\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -25154 at most as big as -930705\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.981mg to kilograms.\nAnswer: 0.000780981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.321422 minus -31235.8?\nAnswer: 31234.478578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-476 - -533)*174\/114\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22263 + 25518. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 9801921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 1, -16\/21, -0.7 in descending order.\nAnswer: 1, -3\/10, -0.7, -16\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1206*u - 790*u - 61*u + 1395*u + 741*u.\nAnswer: 2491*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + (sqrt(612) - (sqrt(612) - (2 + sqrt(612)))))*-3 + 5 + sqrt(612) + 1 + 3 + -2*sqrt(612)*-2).\nAnswer: 9 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 31*x**2 - 27*x - 228. Give u(30).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 17*j**2 + 2*j - 1. Let g be a(1). Let t = -7 + g. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.08. Let m = x + 0.06. Which is the closest to m? (a) -2\/3 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1222349, -1222348, -1222345, -1222340?\nAnswer: -1222333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54959942.098501 take away -5?\nAnswer: -54959937.098501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*h + 2*h + 2*h)*(2*h**2 - 6*h**2 + 2*h**2) + 637 + 55*h**3 - 637)*(-3*h + 1 - 1) in the form f*h**2 + k*h**4 + i + y*h**3 + d*h and give k.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 15*i + 284 = 111*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:10 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkubbubfbkbaqa. Give prob of sequence fau.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18607 or 18596?\nAnswer: 18607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.4 times -0.5?\nAnswer: -265.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) + (-10)\/6*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1472 times -102595\nAnswer: -151019840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 24, -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 4*g**2 - 2*g - 6. Let h be (6\/(-4))\/(3\/(-6)). Suppose 2*v + 5*q + h = -15, -4*q = 8. What is k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 3:16 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 679535*r\/3 + 1359074\/3.\nAnswer: -(r - 679537)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -198553 + 70287709\/354. Let y = b + -1\/59. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5479240464 divided by -6\nAnswer: 913206744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:11 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -206.09?\nAnswer: 41.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3594322 is divided by 7232.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065.524 centuries in months?\nAnswer: 3678628.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -116, -284, -520, -824, -1196?\n\"Answer: -34*i**2 + 2*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-8 - 3))\/(8 - 2)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/7)\/(d**(-7\/2)\/d))\/(d**(2\/5))**(-9\/8))**(-4\/35))**(-7\/2) assuming d is positive.\nAnswer: d**(733\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504708 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 23. Let t be ((-6)\/w)\/(30\/40). Let s(p) = -1 - p + 0*p + 2*p. Let n(o) = -o - 1. Give t*s(f) + n(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31964\/239 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/1115 (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72280 and 4960215?\nAnswer: 39681720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.3 - 0.3. Let m = -0.026 + 0.026. Put -11, f, 0.1, m in descending order.\nAnswer: f, 0.1, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 43\/2*2*-1. Suppose 0 = k + 5*r - 58, 2*r + 0*r - 148 = -2*k. Let b = z + k. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 4 + 4)*(6 + 4*m - 6) + 2*m**2 - 2*m**2 - 6*m**2 + (m - m + m)*(4*m - m - m) in the form z + t*m**2 + o*m and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + a**2 - 223 + 459 - 232 + 2*a**4 to the form b*a + o*a**3 + l + q*a**2 + w*a**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2\/((-7)\/((-147)\/(-6))) - (23 + -8465)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 0*i + 0*i)*(-i + 0 + 0) - 126*i**2 + 161*i**2 - 1 + 2*i + 3 to v*i + d + y*i**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*n - 1 - 95*n + 416*n)*(-52*n + 52*n - 6*n**2).\nAnswer: -918*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 49*f - 21. Let c be s(5). What is the common denominator of 6\/9*(1396\/112 - 4) and (147\/c)\/((-6)\/(-4))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 6*x - 49. Let u be b(14). What is the third derivative of -294*w + 6*w**3 + 294*w + 93*w**2 - u*w**3 wrt w?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294089 (base 10) to base 3.\nAnswer: 112221102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 10. Let x = f - 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**6\/3 - l**4\/2 + 33. Factor z(r).\nAnswer: 2*r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - 195\/9. Let a be (-2)\/(6\/(-3)) + 13 + -16. What is the units digit of (-10)\/(-5) + (a - u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/5907?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + j + 16. Let x be d(0). Solve -o + x = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**5 + 4*k**4 + 6*k**3 + 39*k**2 + 6*k. Let n(l) = -l**5 + l**3 + l**2 + l. Let p(o) = -6*n(o) + u(o). What is the third derivative of p(t) wrt t?\nAnswer: 120*t**2 + 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + -1 + 4 - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 - 12*u**2 + 3*u - 9. What is p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -137605.\nAnswer: 550420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(5 + 1*(sqrt(832) - (-1 + sqrt(832)) - sqrt(832)) + sqrt(832)*-1*4 + sqrt(832)*1*-2) + 2)**2.\nAnswer: -2938184 + 51072*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 1. Let q = 89 - 45. Let y = 9 + q. Let j = 47 - y. Determine u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 25*c - 168 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n - 1. Let z = 30 + -20. Let m(b) = -53*b + 797. Let s be m(15). Let t(k) = z - k + 3*k**s - 3 - 6. Calculate h(x) - t(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -556 from -350005.\nAnswer: -349449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) - 18\/14. Let i(g) = -7*g + 1. Let s be i(c). Suppose -3*f - s = -7*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 10, -5462*r + 5425*r = 4*m - 8*m - 526 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 152 = 5*o - 0*o, -33 = o + 2*k. Let q(x) = x**3 + 32*x**2 + 35*x + 26. Let s be q(o). Let n = s - -106. Solve n = u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 233\/370 - 24\/185. Which is the smallest value? (a) k (b) -3\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-6) + 2\/3. Suppose 20 = -5*r, -w + 2*r + 9 = -2*w. Let t = w + b. Is t <= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7956516 divided by 104691\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (13 - 15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 81*y**2\/5 + 18*y\/5.\nAnswer: y*(y + 3)*(25*y + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(300) + 0)**2*3 + 3 - (-4*(sqrt(300) + -1 + sqrt(300) + 1 - (sqrt(300) - (sqrt(300) + 1)*-2)))**2.\nAnswer: -3958 - 700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2*1) - -6. Suppose 9 - 24 = 5*y, 15 = 2*v - 5*y. Suppose 2*m + v*o = 2*o, d*m + 4*o - 36 = 0. What is the least common multiple of m and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 25. Let q(h) = 44*h + 294. Let j(x) = q(x) - 5*w(x). Calculate j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -347158292*k + 605194191.\nAnswer: -347158292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39288975 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11.999929. Round i to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*b + 255 = 1065 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -138798.6677 and -411436.\nAnswer: -550234.6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(-2*f - 3 + 3) - 2 + 2*f + 2 - 2*f + 5 - 5)*(50*f**3 - 61*f + 61*f).\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 1)*(-k**2 - 2*k**2 + 6*k**2).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -213*p**4\/8 + 115*p**3\/3 + 254*p**2. What is the derivative of o(m) wrt m?\nAnswer: -639","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, x: 12}. What is prob of picking 2 x and 2 u?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 75 = 3*x, v + 2*v + 4*x - 78 = 0. Let h = 481 - 421. Calculate the least common multiple of v and h.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**3 - 2 + 2 + 15*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*t**2\/5 - 12333*t\/5 - 3522\/5.\nAnswer: -3*(t + 587)*(7*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x**2 - 2*x + 8. Suppose -4*g - g = 0. Let n be m(g). Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/(-11) + 22\/121. Suppose -k = -d + 18. Let j = d + -22. Solve -j*t - 2*t + 15 = -c, -6 = -5*t - 3*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18669 - -22544?\nAnswer: 41213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486 + -488. Which is the nearest to t? (a) 57 (b) -2\/15 (c) 0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2303 is divided by 651?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -2. Let t = 1 + -0.9. Let k = -41\/126 - -13\/126. Put j, k, t, 5 in decreasing order.\nAnswer: 5, t, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6362285 and 1395?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o - 19. Let f(t) = 17*t - 52. Let k(c) = 36*c - 105. Let i(p) = -7*f(p) + 4*k(p). Let l(h) = 8*b(h) - 3*i(h). Differentiate l(g) with respect to g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1 - 2. Let l(g) = 1067 - 549 + 2*g - 513. Let v(n) = -5. Let p(u) = 6. Let o(i) = -6*p(i) - 7*v(i). What is d*l(f) - 4*o(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 3, -9 in decreasing order.\nAnswer: 3, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.3 to zero decimal places.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((450\/180)\/((-10)\/186))\/(2*6\/(-16))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3765387959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/8682 and -103\/18.\nAnswer: 26046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 14099640*f + 14099634*f - 4 + 4.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -105. Let f be 14\/(-8) + 3\/3. What is the closest to -1\/2 in a, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000106948813 to seven dps.\nAnswer: -0.0001069","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 221\/3 at least 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-2)\/(-36)*9*3\/180?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 2. Let q be j(-1). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59870*n**3*o*s**2 + 5*n**2*s + 4*n**2 + 2*n*o*s**2 - 2*n*s - 113*s**2 wrt n?\nAnswer: -359220*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-15732)\/399)\/(-46)*-56\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l. Let y(u) = -28*u + 13. Calculate -6*p(z) - y(z).\nAnswer: 94*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + b**2 - 679*b + 5056. Give y(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52835823643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggjjgjgggjjjjggjggj?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-l + 2*l + 0*l) - 5 + l + 5 - l + 0*l + 0*l + (0 - 3 + 1)*(0 + 0 + l) - 11*l - 7 + 7.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 68?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*z + 8*z**2 + 11*z**2 - z - 6*z**2 wrt z?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 2*b + 5. Let y be r(4). Suppose 2*t - 3 = -y. Let c = -4 - t. Solve -3*h = -8 - c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450 divided by -90\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11865 (b) 34\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 112?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -627, -2236, -5379, -10566?\nAnswer: -18307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {g: 4, z: 4, h: 2, y: 2, f: 5}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -18. Suppose w = 4*z - 0*z. Suppose z*b = 2*b - 10, 0 = -j + 3*b + 82. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 145384 - 1257?\nAnswer: 144129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, l: 1, n: 9}. Give prob of sequence lnz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -m + 5*p, m - 7*p = -3*p - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -808*h**3 - 10*h**2 + 60.\nAnswer: -4848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 9310845*b - 18621702.\nAnswer: 3*(b - 3103617)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 3*y + 92. Let q be j(0). Suppose 4*t - 5*r = 100, -22*t - q = -26*t + 3*r. Calculate the remainder when 36 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 - 43733*q**2 + 1911*q + 1 wrt q.\nAnswer: 40*q**3 - 87466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -1785240707?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001952263 to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-49) - 898\/7. Suppose 3*t + z + 152 = 0, -t + 6*t + 268 = 2*z. Let q = t - k. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5546 + -9101. Let j = 2012 - z. Suppose 6*t - 2827 = j. Is t 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 {f: 1, a: 3, x: 2, c: 3, b: 6}. What is prob of picking 1 c, 1 x, 1 a, and 1 b?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2, -5, 29, -7, 6, -3 in descending order.\nAnswer: 29, 6, 2, -3, -5, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63244673 and 38457?\nAnswer: 4273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -104*w**3 - 44*w**2 - 44*w. Let i = -587 - -594. Let f(b) = -1650*b**2 - 4*b + 1647*b**2 + b - i*b**3. Calculate 88*f(y) - 6*m(y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*b - 3580 = 1820 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/56*7)\/(7\/(-140))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 12800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70072566 is divided by 2443.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 46*z**4 + 4*z**2 - 28*z + 4. Let s(v) = -91*v**4 - 7*v**2 + 55*v - 7. Let c(q) = -7*g(q) - 4*s(q). What is the second derivative of c(o) wrt o?\nAnswer: 504*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 10. Suppose 0 = -v*i - 4*p + 253, 4*i + i - 3*p = 274. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 53 + 304. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 9*o**5 + 101796*o**4\/5 + 7992*o**3\/5 - 12633504*o**2\/5 - 26113968*o\/5 - 651456 = 0.\nAnswer: -2262, -10, -2, -2\/15, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11))**(-6\/7)*(q*q\/q**(2\/25))**(1\/15) assuming q is positive.\nAnswer: q**(-268\/9625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/19 + 2080*k**2\/19 + 29414*k\/19 + 103292\/19 = 0. What is k?\nAnswer: -7, 1054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -2.852. Let i = y - 2.648. Let z = -2.3 - i. What is the second smallest value in z, -2\/3, -3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3793278 is divided by 185?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -22*b**2 - 302*b - 59. Calculate a(-13).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/18)\/(1\/(-2)). Calculate the remainder when 41 is divided by q + (3 - 6) + 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4287408 and 488022.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 172, -3, -6, 3, -67.\nAnswer: -67, -12, -6, -3, 3, 5, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**0\/a))\/a)**(-36\/5)\/(a*(a\/a**1)\/a*a)**(4\/23) assuming a is positive.\nAnswer: a**(-848\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/53 (b) 5\/2 (c) 2\/73 (d) -926\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from papa. Give prob of picking 2 a and 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*x**3 + 281*x**3 + 282*x**3 - 872*x**3 + 23*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(-24)\/(-4). Let b(t) = t - 8. Give b(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.0117903.\nAnswer: 0.00471612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l**2 + 2*l**2 + 7*l**2. Let f(c) = c + 6. Suppose -j = 3*j + 28. Let q(n) = n + 7. Let b(h) = j*f(h) + 6*q(h). Give u(b(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 5*u**2 + 4*u - 3. Calculate the remainder when z(5) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724242 is divided by 7544?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, -4\/47, -0.4, 9\/2, -2\/199, 2\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 3 - 20 - 1 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*36\/294*(-336)\/192?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 101 = 184. Let g(q) = 2*q + 62. Let z be g(-12). What is the greatest common factor of c and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k + 58. What is f(-11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10 - 5. Let x be ((-25)\/15)\/(r*(-1)\/9). Solve 35 = x*w + 2*m, 5*w = -m + 35 - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 250. Give a(55).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*c + 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*-1*6)\/sqrt(2))\/(((sqrt(99) - -1*sqrt(99)) + sqrt(99))\/sqrt(11) - (sqrt(108)*1 - sqrt(108))\/sqrt(12)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqp when three letters picked without replacement from wphbphbbbbwqww?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsegqsgsuugssgs. What is prob of sequence qges?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s + s**3 + 1 - 11*s + 2 + 6*s + 4*s**2. Let q = -8 - -22. Let p = q - 16. What is z(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-7) + (-109270)\/(-343). Let t = s - 166. What is the remainder when t is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*v - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-21))\/((-238)\/408).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113320 - -22423?\nAnswer: -60564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133*d**3*l**2 - 3763*d**3 + 22*d**2*l**2 + 23*d*l**2 - 119*l - 1 wrt l?\nAnswer: 266*d**3 + 44*d**2 + 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15387 = 265*u - 12438 for u.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let f(n) = -n**3 - 4*n**2 + n + 3. Let i be f(-4). Let r be i\/(2\/(-8)*-4). Let g be 5*(1 - (0 - 0)). Let z(u) = -7*u. What is g*w(k) + r*z(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 4*u = 92 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 14 = 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0 - 2) + 1 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2263\/372)\/73*-42)\/((-1)\/(-1)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let v(r) = r**2 + r - 1. Let p(n) = 10*n - 2*n**3 + 4*n**2 + 50 - 54 - 6*n. Determine w*p(b) + 4*v(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 62*h**2 - 813*h - 2695. What is s(40)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278 and 9083789?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Express -11*d**4 + 45 - 3*d**2 + 3*d - 11*d**4 + 20*d**4 - 49 as l + a*d**4 + h*d**2 + y*d + s*d**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 - 59 = -7*i. Suppose -i - 55*x**2 - 56 + 50*x**2 + 40*x = 0. What is x?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2)*l\/l**7*l)\/((l**5\/l*l)\/(l\/(l*l**7\/l))))**(-37) assuming l is positive.\nAnswer: l**(1147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j. Let h(n) = 25*n. Let c(a) = h(a) + 6*t(a). Let q(w) = -3*w**2 + 4*w**2 - 7*w**2. Calculate q(c(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23478 and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 0*w**2 + 3 + 1 - 13*w**4 - 1 + 3*w + 10*w**4 to the form u*w**2 + i*w**3 + g*w**4 + l + j*w and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19429.\nAnswer: 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 341, 1612, 4761, 10736, 20485, 34956, 55097?\n\"Answer: 158*f**3 - 9*f**2 + 192*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91\/3 - 30. Suppose 0 = a + a. Suppose -3*u - 2*u = a. Which is bigger: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0200410810303 plus -106.7?\nAnswer: -106.7200410810303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*q + 3*q = -15, -2*q + 5 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 7*o**2 + 8*o + 5. Let w(y) = 7*y**3 - 14*y**2 - 16*y - 9. Let m(v) = 9*n(v) + 4*w(v). Let q be 8*4\/(-16)*2. Let p = -10 - q. Give m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14542927001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.59717*-35.\nAnswer: -20.90095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 448241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -18*t**2 + 57. Let l(g) = -9*g**2 - g + 29. Let j(o) = -6*d(o) + 11*l(o). Is j(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163684 is divided by 216?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*d + 40 + 31, 0 = -5*d - 5*o + 95. Let t(f) = f**2 + 15*f - 8. Let i be t(8). Calculate the highest common factor of i and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13084 - -13092. Solve 2*r + y*x - 6*x - 6 = 0, -2*x + 2 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -519, 299, 2353, 6261, 12641?\n\"Answer: 103*t**3 + 97*t - 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/19 - 19260*q\/19 - 57762\/19.\nAnswer: -2*(q + 3)*(q + 9627)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 15*p**2 - 24242*p - 620424 = 0.\nAnswer: -126\/5, 4924\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 13792, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 0.375323?\nAnswer: -0.024677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5016, -5099, -5182, -5265?\n\"Answer: -83*s - 4933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -15*u - 7. Let b(h) = 10*h + 5. Let g(t) = -8*b(t) - 5*y(t). Suppose 2*r = 5 - 3. Let o(w) = w + 1. What is r*g(s) + 4*o(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = -16*d - 8. What is the remainder when 9 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.816*-11\nAnswer: -74.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -39*w**3 + 2458*w**2 + 2052*w - 133249. Calculate d(63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67.5 + 68. What is the nearest to -4\/5 in -2\/9, v, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2738854456?\nAnswer: 2, 13, 1439, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 41*p - 169*p + p**2.\nAnswer: 2*p**2 - 128*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3\/3 + 123*z - 331. Let w(t) = -t. Give r(w(f)).\nAnswer: -f**2 + 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 6*l - 5. Let g(q) = 7*q**2 + 11*q - 9. Suppose 90 + 9 = 9*p. What is p*w(h) - 6*g(h)?\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 203251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 0.163609599\nAnswer: 1.145267193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11423 - 42?\nAnswer: 11351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 2*j**2 - 4*j + 3. Suppose 5*c = -25, 4*g = 3*c - 2*c + 9. Suppose -3 = -3*q, -q - 9 = -3*i - g. Determine d(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**3 - 3004*n + 3012*n - 52 - 4*n**3 - 2*n**3 - 36*n**2 + 4*n**3 wrt n.\nAnswer: 24*n - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from wlnygvl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-156))\/(3*(-8)\/192)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19846082?\nAnswer: 2, 239, 41519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31179927?\nAnswer: 3, 23, 311, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -250 + 400. Let o be y + (-5 - -4) + -4. Suppose 673 = 4*l + o. Is l a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14642 - 11510. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6159658 + 27.878?\nAnswer: 6159685.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12123 - -12113?\nAnswer: 30302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 14. Let l(m) = 7*m - 3. Let f(b) = 3*b**2 + 29*b - 7. Let y be f(-10). Let u(z) = z - 1. What is n*l(p) + y*u(p)?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1543 + -921. Let u = n + -625. Let p be (4 + -2)\/(4\/6). Sort -2, p, u, 2\/5 in descending order.\nAnswer: p, 2\/5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*j**2 + 14993*j*s**3 - 2*s**3 - 1597853 wrt j?\nAnswer: -76*j + 14993*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492494304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 0.1 (c) -3\/7 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13714400 - -1?\nAnswer: 13714401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -5. Let y = 7.1 + -3.1. Which is the smallest value? (a) y (b) -4\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2358 and 17292?\nAnswer: 51876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from {b: 1, e: 2, h: 2, u: 2, z: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654 = -28*v - 55*v + 425 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43676 times -0.5?\nAnswer: -0.21838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*j + 185. Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/360 + g**5\/60 + g**4\/8 + g**3\/6 - 2*g**2. Let y(v) be the first derivative of s(v). Calculate y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -7*s**2 - 764. Let n(y) = -16*y. Let q(x) = -3*x. Let k(f) = -4*n(f) + 22*q(f). Give k(d(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 + 2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 966*n - 535*n + 4 - 2 - 3 + 804*n in the form d*n + r and give d.\nAnswer: 1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3139 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6616106 and 101.\nAnswer: 6616106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = 37 - 287. Let b(c) = 4*c**3 - 8*c**2 + 23*c - 21. Is b(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*o**2*w**2 - 5342*d**3*o**2*w - d**2*o**2 - 316*d*o**2*w**2 - d*o*w - 284*w**2 wrt w?\nAnswer: 4*d**3*o**2 - 632*d*o**2 - 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, w: 3, s: 1, b: 2, q: 2, e: 4}. Give prob of picking 1 u, 1 b, and 2 q.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-33)\/22*508\/6*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 1. Let c(m) = 6*m + 10. Let v be c(-2). Let j be (-3)\/((-45)\/6)*(-15)\/v. Let b(w) = w**3 - 5*w**2 - 5. Give j*b(g) - 15*r(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 + 27*g - 118. Calculate c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 5, 2\/11, -2, 2705?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 7*o + 2*o - 7*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 1211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60, 77, 96, 111, 116, 105, 72, 11?\n\"Answer: -s**3 + 7*s**2 + 3*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2804774 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1783.20942 rounded to the nearest ten?\nAnswer: -1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c + 19. Let t(f) = -6*f - 19. Calculate 3*m(q) + 4*t(q).\nAnswer: -3*q - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23050*d**3 + 7685*d**3 + 7689*d**3 + 7683*d**3 - 39*d**2 + 43*d**2.\nAnswer: 7*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:12 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 431 - 432. Let o be (-10)\/(-1 - (1 + 0)). Let r be 0 + 1*(-1 - 0). Which is the nearest to r? (a) 1\/2 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1209 and -19\/6266?\nAnswer: 582738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 7, l: 1}. What is prob of sequence lqee?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*(136\/(-30) + 4). Let y(h) = -h - 1. Let k be y(-1). What is the nearest to k in i, 2, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r + 85. Give c(-15).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, -376, -370, -364, -358?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 1406*c - 1. Let h(b) = 191*b + 2. Give h(u(s)).\nAnswer: 382*s**2 - 268546*s - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*h = -725*h + 60959 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 10473*a**2 + 20918*a - 251304.\nAnswer: (a - 4)*(a + 6)*(a + 10471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4 or -39506\/681?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4000 + -3999.9998707. Round g to 6 dps.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) + 39\/12. Suppose 3*z + x - 45 = -r*x, 4*z - 59 = -5*x. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164258902 a multiple of 2428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, -691, -2315, -4577, -7471?\nAnswer: -10991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flfffffffffllffflf. Give prob of picking 1 l and 1 f.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101463264.\nAnswer: 2, 3, 7, 50329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 874898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 36*b = -40*b - 8, b = w - 5. Solve 4*d - g + 4*g - 6 = 0, -d - 1 = w*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*n + 13 + 1 = 0, 0 = 2*s - 3*n - 2. Let j(p) = p**2 - 8*p + 1. Let i be j(8). Solve s*m + 3 = -i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 6*d**2 - 9*d + 6. Let q be i(7). Let h(w) = 2*w + 16. Let c be h(q). Solve 5*y = -c*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 - 108)*(-3*t - 3*t + 4*t).\nAnswer: 216*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3 + (-6 + 29 - 4)*(-2 + 0 + 1))*(3*f**2 + 0*f**2 - f**2).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**0))\/(y\/((y*(y*y**(-2))\/y)\/y*y)))\/((y\/y**(2\/17)*y)\/(y\/(y**(-5)\/y*y))))**(-2\/5) assuming y is positive.\nAnswer: y**(-72\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 832045 and 7488405?\nAnswer: 7488405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-20)\/8)*-5. Is 0 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/240)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)\/g**(1\/11)*(((g*g**(1\/7))\/g)\/g*g)\/(g**(6\/11)\/g)*(g*g\/g**(-3)*g)\/g*g**(-5\/4)*g**(2\/17)\/g*g\/(g\/g**2) assuming g is positive.\nAnswer: g**(-3277\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Which is the nearest to -5\/2? (a) d (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -437*j**3 + 36704*j**2 + 335*j + 94. Determine s(84).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*20\/(-12)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -34.54 + 2.4\nAnswer: -32.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708212557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22473370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 284 - 58996.913\nAnswer: -58712.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111211010221001 (base 3) to base 16.\nAnswer: 7011ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*v + 310*v + 8, -16 = 5*t - 2*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 9:40 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49536 by 192.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**10)**(2\/13) assuming q is positive.\nAnswer: q**(22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -36*z**5\/5 + 42*z**4 - 100*z**3\/3 + 8*z**2 - 2547. Factor u(x).\nAnswer: -4*x*(x - 4)*(3*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.204702 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20886937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -51. Suppose -3*z - 2*z = -p. Let f = -28 + 43. Solve -3*w = -z*w - f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3755, -3803, -3823, -3809, -3755, -3655?\nAnswer: -3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + 215442?\nAnswer: 215365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21976 and 2814?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001838 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -645, -1219, -1681, -1977, -2053, -1855?\n\"Answer: 9*n**3 + 2*n**2 - 643*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 4:29 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -8. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83 in -4, 0.4, 2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13856*u - 290968. Calculate d(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f - 3447 + 3601 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -4757?\nAnswer: -4764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 89*p**7\/210 - 4*p**5\/15 + 3*p**2 + 21. What is the third derivative of o(v) wrt v?\nAnswer: 2136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 289 + -3759\/13. Let h = 8.468 + -0.068. Let u = h - 8. Which is the smallest value? (a) u (b) q (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 15, 12, -1, -30, -81?\n\"Answer: -i**3 + 4*i**2 - 4*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*m + 2*d + 16, 20 = -5*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 1 - 2*s - 44. Let d be ((-156)\/16)\/((-9)\/(-12)). What is the remainder when w(d) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 1. Let g(y) = -7*y**2 + 44. Determine 5*f(d) - g(d).\nAnswer: 2*d**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.821 * -0.227\nAnswer: 0.186367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.229181 to two decimal places.\nAnswer: 3.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 3. Let c be p(-2). Suppose b - 3*z + z = -3, z = 4*b + 19. Sort 3, b, c.\nAnswer: b, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3. Let u be z(1). Suppose -u*q - 47 = 261. Let a = -1464\/19 - q. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 85 + 13. Let s be (-2)\/(-3) - (-798)\/y. Let x = s + 10. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74510 is divided by 18395.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 16, 35, 54, 73, 92?\n\"Answer: 19*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-12 - -5 - -18 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 82*v - 522. What is w(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n + 443. Calculate the smallest common multiple of 70 and y(17).\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/(-5)*5*15\/(-300)?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (16 - (-12 - (-4 + 2))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y - 5*c, -4*y - 2*c + 5 = -3*y. Let b be (y - 5)*1 + 0. List the prime factors of (-140)\/(-16) - ((-14)\/b)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.004 in 0, 2, 344\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 4, n: 1, f: 3, i: 1}. Give prob of picking 1 f and 1 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 202.3401?\nAnswer: 607.0203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.40013 rounded to two decimal places?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-120)*16*((24\/2)\/24)\/(-1)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/3 - 6*m**3 + 14*m**2 - 22*m\/3.\nAnswer: -2*m*(m - 1)**2*(m + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(-4*sqrt(45)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n**(7\/2)*n)*n)\/n)*n*n**7\/n)**(2\/11)\/(n*n**(-8\/3)*n*(n**(-3)*n)\/n*(n**(2\/9)*n)**(-7\/4)) assuming n is positive.\nAnswer: n**(3127\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378663 is divided by 189062?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cba653 + 1?\nAnswer: -cba652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 3 - (-2 - 0). Let j(t) = t**2 + t + 1. Let o = 19 + -10. Calculate the lowest common multiple of j(a) and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6671)\/56 - (2 + 0). Let g = p - -121. Is g less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5*d**2 - 16*b**3*d**3 + 2*b*d**3 + 7*b*d**2 + 3*d**3 wrt b.\nAnswer: 40*b**3*d**2 - 96*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4\/19 - 20*n**3 + 15538*n**2\/19 - 1576*n + 14784\/19 = 0.\nAnswer: 1, 56, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 2*j + 3. Let r be y(-3). Suppose 11*w - 79 - 42 = r. Solve -w*f + 10 = -6*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(56)\/(sqrt(8)*2))**2*-2.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 6, -0.1, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4392 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 second derivative of -5*o**3 - 900*o**2 + 80*o - 64 wrt o?\nAnswer: -30*o - 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - r + 8, -5*z + 17 - 5 = 3*r. Which is the smallest value? (a) z (b) -15 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494 by 47749.\nAnswer: 38\/3673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4671 - 1526*k**2 + 566*k**2 - 870*k**2 wrt k.\nAnswer: -3660*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/6235?\nAnswer: -4\/6235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1.6 (c) -1\/8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 5*q**4\/12 + q**2 + 2*q. Let v(c) = c**2 - 7*c + 4. Let d be v(6). Is n(d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-42)*1316*(-17)\/(-816). Does 0 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and 19.\nAnswer: 19.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/249 - 251\/498. Let l be -1 + ((-7)\/10)\/(13\/(-26)). Let w = 0.9 - 5.9. Which is the nearest to d? (a) 0.1 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 21\/(-2)*3\/(-9)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t + 314. Let j be n(-24). Let g(l) = l**2 - 4*l - 3. Let d be g(-3). Calculate the highest common factor of j and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 425965 - 71562119\/168. Let m = 139\/2 - 71. Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 22 (b) -2\/29 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2543859 + 2543859.1499941. Let h = 0.15 - g. Round h to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(11)*-2 - sqrt(110)\/(sqrt(20)\/sqrt(2))) + 2 + (-3*sqrt(1331))**2.\nAnswer: -7*sqrt(11) + 11981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.903376 + 0.096624. Let w = 0.5 - 0.1. Let i = -3\/101 + 1925\/202. Which is the fourth smallest value? (a) w (b) y (c) 0 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51815.\nAnswer: 5, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -508\/17 greater than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48462a (base 13) to base 5\nAnswer: 420122443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a = 0. Let k(b) = 4*b - 5*b + b - b + 4. Calculate k(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 2.81299.\nAnswer: -0.562598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 222\/(-333)*(15\/(-2) - 0). Which is smaller: 6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - i - 3*i)*(4676 + 5074 - 3678) to v*i + x and give v.\nAnswer: -12144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from jjjrjljlljcljzl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 4*l + 3. Suppose 2*d + 80 = -5*t, -2*d + 44 = -3*t - 4*d. Let m = -15 - t. Let a be f(m). Sort -1\/3, a, -8 in ascending order.\nAnswer: -8, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -53. Let h be ((-8)\/(-12))\/c - 64\/(-12). Let k be 9\/(-21) + (-31)\/(-7). Solve -5 = -k*v - 2*a - 1, -3*v = h*a - 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 46.011 rounded to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 2*d**4 - 51*d**2 - d + 88*d**2 - 43*d**2 as i*d**2 + w + t*d + o*d**3 + p*d**4 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l**3 + 0*l - 1\/40*l**6 - 5*l**2 + 0*l**4 + 0 - 1\/12*l**5. Find the third derivative of b(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2. Let v(l) be the third derivative of 0*l + 0*l**4 + 5*l**2 + 0 - 1\/12*l**5 + 0*l**3. Calculate v(o(h)).\nAnswer: -125*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 45*k + 95. Let m be u(-2). Let x(j) = j**3 + 4*j**2 - 2. Let r be x(-2). Suppose -r*p + 7*p = m. Solve -p = -3*q - 2*c, -3*c = -2*q + 2*c + 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2 - -9) + -1. Suppose -m*q = -4*q - 844. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 9040*l**2 + 772516*l - 781560.\nAnswer: 4*(l - 1)*(l + 90)*(l + 2171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82018*r*v**3 + 777131*r + 5*v**3 + 2 with respect to v.\nAnswer: 246054*r*v**2 + 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 627971 >= 627938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a - 0. What is the closest to a in 1, -0.2, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4666351 millilitres in litres?\nAnswer: 0.0004666351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 20?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5144*q**3 + 11*q**2 + 1 + 15*q**2 - 24*q**2 - 5945*q**3 as j*q**3 + h + v*q + p*q**2 and give j.\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 h when three letters picked without replacement from {t: 1, f: 1, a: 2, s: 1, h: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11080*-385.\nAnswer: 4265800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**3\/3 + 13*g**2 - 50*g. Let d be j(-6). Let x(s) = -2*s + 15 - 29 + d. Let b(f) = -81*f. Give b(x(m)).\nAnswer: 162*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.2 and 40?\nAnswer: 47.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 66 + 290. Suppose -b = b - k. Does 10 divide b\/21*135\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2977 + 0.2877. What is the nearest to 6 in j, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -78. Suppose 2*i = -0*i - v + 12, 0 = 3*i - 3*v. Suppose 14 = -i*k + 30. What is the smallest common multiple of k and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0 - 11\/2*m**2 - 2*m - 1\/6*m**3. Let d be v(-10). What is the closest to -2\/5 in d, 2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.7 (b) 7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0, -8469, -5, 4 in ascending order.\nAnswer: -8469, -22, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(1 - 2 - 1)*(-3*o + 3*o - 2*o + (2 + 0 + 0)*(4*o - 3*o - 2*o)) in the form s + r*o and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*l**3 - 33 - 1 - 1 + 249*l**3 + 35.\nAnswer: 174*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 524784*x**2 + 464*x**3 + 49724683424 + 2\/13*x**4 + 263791424*x.\nAnswer: 2*(x + 754)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 - -0.1. Let u = -0.32 + j. Let k = 0.71 - 0.31. Which is the biggest value? (a) k (b) u (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -198. Suppose 35 - a = -3*x. Suppose -3*i = -x - 3. Calculate the remainder when 32 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0 - 1\/6*p**4 - 1\/2*p**2 - 4*p + 0*p**3. What is the derivative of h(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120020200 (base 3) to base 4.\nAnswer: 2231223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 9) to base 10\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -37 + 1\/3*d**3 - 5*d - 3*d**2. What is x(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c - 2. Let j(s) = s**2 + 2. Let t(m) = j(m) - x(m). What is t(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 29. Let b be s(-17). Suppose -4*z + b = -14. Calculate the highest common divisor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t = 43 + 32. What is the second derivative of b**2 - 13*b**3 - 85*b - b**3 + 38*b**t - 11*b**3 wrt b?\nAnswer: 78*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11154900 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + (-9)\/(27\/6). Solve 3*p + 13 = -5*s, -s - w = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*o + 43 - 9, 0 = 3*o - z - 38. Calculate the least common multiple of o and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**5 + r**3 - 1. Let j(t) = -2*t**5 - 3*t**3 + t + 3. Let s(i) = -j(i) - 3*u(i). Find the second derivative of s(p) wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -2.20393371.\nAnswer: 6.61180113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 32*c**2 + 12*c + 116. Let t be u(24). Let k = t + 7275. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 23*r = -308. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412675136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/80 and 15\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -314 - -449. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 divided by 172?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*z + 3*z. What is the remainder when 1\/(-2)*(z - 14) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/17021*(-20)\/40. Let m = w - -11046650\/119147. Let p = -93 + m. What is the nearest to 1 in p, 2, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 12. Let g = 18 - w. Solve -4*o - c = g, -o = -2*o + 4*c + 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c + 100 = -53*c. Let j = -19\/81 - -10175\/42687. Let f = j - 6859\/2108. What is the common denominator of f and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 0*y + 3*y**2 - 9*y**2 + 9*y**2 to x*y + i*y**2 + g and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r + 5 + r**2 - r**3 + 3 + 7*r**2. Let b be (-1 - -428)\/(-6 + (-40)\/(-8)). Let w be 122\/b - (-102)\/14. Determine c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4)*h)\/h**0)\/(h**(-6)\/h**7)*((h*(h*h*h\/h**(-2\/11))\/h)**(-26\/3))**41 assuming h is positive.\nAnswer: h**(-147425\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283016.4138 rounded to the nearest 10?\nAnswer: 283020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2 - 7 + 3 + 7 - 4. Let u(h) = -7*h + 7. Calculate -7*l(k) + u(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -6 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + (-87 - -3) + -8?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - (3 + 502431\/(-9))) + 46\/(-69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630 by 315.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 863.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.72 - -11.08. Let m = g + -15. Which is the closest to 30? (a) -1 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 59242273718?\nAnswer: -59242273722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d + 6669 = 303984. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(7\/7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (2 + -5)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + l**3 + 2*l**3)*(2*l**2 - 1 + 1 + (-6*l**2 + 4*l**2 + 3*l**2)*(4 + 4 - 6) - 637 - 30*l**2 + 637 + (2*l - 4*l + 0*l)*(4*l - l - l)).\nAnswer: -30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 978859818 to the nearest integer?\nAnswer: 31287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 - (38 - (-47 - -20))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 8267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1073, 1076, 1079?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1357*s - 67. Does 78 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:20 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4\/11 - 216*c**3\/11 - 2724*c**2\/11 + 712*c + 14322 = 0?\nAnswer: -93, -11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -11. Let w(b) = -b**3 + 6*b**2 - 2*b - 7. What is the smallest common multiple of 1 and w(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12315931?\nAnswer: 37, 43, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/193 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120632 is divided by 9279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -23*j. Let h(t) = 21*t - 1. Give -3*b(f) - 2*h(f).\nAnswer: 27*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 less than or equal to -732020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 2 + -2 + (4 - (11 - 14))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:32 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7 = u, -3*u + u = -3*q - 13. Suppose -12*o + u*o = -20. Let r be 595\/68 - 3\/4. Solve r = -2*a + o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1739 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 54?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -492 divided by -123\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*r + 254 = 57*r. Let l(t) be the first derivative of 27 + 6*t**r - 1\/3*t**3 - 12*t. Calculate l(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (1 + 4) - (1 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650 (base 8) in base 7?\nAnswer: -2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 28*c**2 + 29*c.\nAnswer: -c*(c - 29)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 7. Let i(p) be the first derivative of z + 2\/3*p**3 - 1\/5*p**5 + 0*p + 0*p**2 + 0*p**4. What is the third derivative of i(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322238*d**3 + 54969*d**2?\nAnswer: 1933428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23022 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -189872 divided by -16?\nAnswer: 11867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 7849\nAnswer: -1569.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 = f, -3*t + 19 = -8*f + 4*f. What is the remainder when (t\/(-3))\/((16\/180)\/(-4)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -1\/161?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 6 - 10 - 6*n + 20 - 6. Determine z(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v, 0*v - 14 = -k + 3*v. Suppose -k - 1 = -3*j. Let q(f) = 7*f**2 + 4*f - 2. Does 27 divide q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -4*z. Let c = 74 + -35. Suppose -3*t + c = t - b, -2*b = 4*t - 42. Calculate the lowest common multiple of t and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, l: 3, m: 1}. What is prob of picking 2 n and 1 l?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**8\/840 + f**7\/420 + 4*f**3\/3 - 7*f. Let p(k) be the second derivative of b(k). Factor p(h).\nAnswer: 2*h**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -21. Is ((-4)\/s)\/(6\/(-765)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 95, 153, 227, 323, 447?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5100.5*-1.27\nAnswer: 6477.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3)*(y**(-1\/7)\/y)\/y*y\/(y*y**(-10))*(y\/(y*(y**(2\/9)\/y)\/y))\/y)**(-41))**(-27) assuming y is positive.\nAnswer: y**(69495\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -310, -464?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 24*x - 175. Calculate i(8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x + 28. Give y(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h - 2*h - t, -2*h = 4*t - 12. Which is the smallest value? (a) 1\/5 (b) h (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 3. Let u(x) = -45*x + 24*x + 22*x + 12. Let i be u(-9). Determine h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 263 and 107.\nAnswer: 28141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207\/680 + -6\/85. Let z = -18 + 7.9. Let i = 14.1 + z. What is the biggest value in x, 9, i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**3))**(2\/29)\/((j\/(j**(1\/3)*j*j))\/j**1) assuming j is positive.\nAnswer: j**(185\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-60))\/((-22)\/220)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232\/(-203)*2\/(-8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2611 is divided by 143.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l - 6*l)*(2*l - 3*l + 5*l) + (0*l + 5*l - 3*l + (-l - 64 + 64)*(-52 - 32 + 10))*(-4 + 4 + l).\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/23 + 363100*t**3\/23 + 38142366*t**2\/23 + 941717016*t\/23 - 3178235880\/23 = 0. Calculate t.\nAnswer: -54, 3, 181655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 45*w**2 + 3*w - 5. Let q be 120\/54 + -4*(-4)\/(-72). What is the tens digit of i(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 237791512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) - 26\/42. Suppose -65 = -2*t - 11*t. Which is the biggest value? (a) u (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-6)\/4)\/((-28917)\/(-510) + -56)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 8 + 1. Let m = s - 14. Let a be ((-11)\/(-11))\/(3\/2 + -2). What is the closest to -3 in m, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 48*b + 48*b - 4156152. Is b a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.07, -14, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85368572 - 26581428. What is h rounded to the nearest 1000000?\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000484101213 to six dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - 348\/16. Let b = 106\/5 + r. What is the second smallest value in -4, b, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1726 - 1120*z + 1117*z + 2100 as p + n*z and give p.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 25, 4*s - 3*b - 43 = -2*b. Let m be ((-432)\/63)\/(8\/(-28)). Suppose -2*r + m = 2*f, s = -4*f - 3*r + 57. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 2. Let z be r(-7). Let y be (3\/z)\/((-2)\/10). Suppose -12 = -3*a + 5*d, 9 = 2*a - 5*d + 1. Solve -a*p = y*f - 21, -p - 2*f = -5*p + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k**2 + 151 + 0*k + 9\/5*k**5 - 65\/3*k**3 + 1\/2*k**4. Find the third derivative of u(q) wrt q.\nAnswer: 216*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16585179721.626 plus -0.1?\nAnswer: -16585179721.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907643 to the power of 1\/2, to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z - z**3 + 7*z + 4*z**3 - 15*z.\nAnswer: 3*z**3 - 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbpqcupckuqqcq. Give prob of sequence pkcc.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44715179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 6 = -7*s. Let y be (s + 4 + -1)\/(3\/(-1)). Solve 0 = 4*o - y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkxp when four letters picked without replacement from {z: 1, f: 2, n: 3, k: 7, x: 3, p: 1}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 7:05 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/478544 and -83\/4219888?\nAnswer: 46418768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41249)\/114)\/167*-6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3617*q + 3596*q - 483. Which is smaller: 0.73 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Let u(z) = -z**3 - z**2 + z - 4. Let b be (-2 - (-1)\/2)\/(21\/28). Let h be u(b). Put h, p, -3 in decreasing order.\nAnswer: p, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11443230 + 0?\nAnswer: -11443230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*x - 14 - 6, -3*w = 4*x + 10. Calculate the remainder when 19 is divided by (w\/(-4))\/((-3)\/60).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 19145021?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22340, -44795, -67286, -89831, -112448, -135155, -157970?\n\"Answer: -3*s**3 - 22434*s + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 0*t - 2*t - 4*t + 5*t + 2*t + (-5 + 1 + 3)*(-4*t + 0*t + 3*t) + 1 + t - 1 + 3*t - 5*t + t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274 + 275. Let b = 0.2 + -0.1. Let m be 0*(-2)\/2 - 4. What is the nearest to 2 in b, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d - 226072 = -83*d. What are the prime factors of d?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - m + 14. Let s be z(3). Suppose 5*o = -0 - 10, 4*w + s*o = 1424. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 205776?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2244*j = -2138*j + 954 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 48*z + 3005 = -51*z, -2*n = 3*z - 1507. Calculate the remainder when 1518 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11457 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 8*b**2 - 7*b**2 - 4*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (101\/(-7) - (-666)\/1554).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1131.67 (b) 6\/17 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 + -3. Let j be -6 - (86\/2 + -56 - (-246)\/34). Which is the biggest value? (a) j (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14280\/1190*(-3)\/(-108)*59\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let s be 1\/(-3) + 3*(-6)\/(-216). Is s at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 21 = -3*c, m = -2*c - c + 12. Let q = c - 9. Let x(v) be the second derivative of -v**4\/12 - v**3\/6 + 2*v**2 + 6*v. What is x(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 16002212*b - 64008864.\nAnswer: (b - 4)*(b + 16002216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/6 - v**3 - 136*v**2. Let g be m(2). Solve -4*j = g - 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*s - 4825*s + 199120 = 0 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 805836 by -12.\nAnswer: -67153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 33*f**2 + 62*f.\nAnswer: f*(f - 31)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -562 - 3*d**2 + 19824*d + 3*d**2 + d**4 - 20081*d wrt d?\nAnswer: 4*d**3 - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147330829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 4858*f - 4856.\nAnswer: -2*(f + 1)*(f + 2428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1182112 and 2120?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*z - 22*z**3 - 279*z.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1061497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 75.7, 0.5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 948, 2843, 6432, 12267?\nAnswer: 20900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 9*g - 3. Is j(9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 12865 = 4997. Let u = d - 427. What are the prime factors of u?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.87 (c) -648.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3658039175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*((-4)\/(-26) + 441\/(-1092))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 - 8*r**2 + 72*r**2)*((1 + 0 + 1)*(-2*r - r + 0*r) - r + 3 - 3)*(1 + 0 - 3).\nAnswer: 994*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85013 = 18*v - 172969 - 46074. Is v a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**3\/5 + 816*h**2\/5 - 41616*h\/5 = 0.\nAnswer: 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 7*y**2 - 7*y - 6. Let w be c(-6). Solve -2*o - 2*o + 12 = w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5662*z**3 + 2*z - 23111*z**3 - 45966*z**3 - 133718*z**3.\nAnswer: -208457*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let x be 0 - 6\/(-3) - h. Solve -4*r - x*q + 0 = -2, -5*r - 3*q = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3791 - 3786. Solve 17 = 2*s + 13, -5*o + 15 = c*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20395*k + 21997.\nAnswer: -20395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + r = 0, 0 = -2*m + 3*r - 8*r - 16. Suppose -5*l + 89 = 3*c, l - 6 = 4*c - m. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + x + 18 = 5, 0 = 2*f - 5*x - 33. Let k be 0\/(1*-4) - 0\/f. Let j(r) = -r + 9. Let c be j(7). Solve -c*z = 2 - k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17746 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.059, -70, 3\/5, 3?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 - 717\/5. Let p = 47 - 47.06. Is a at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316 and 9179429?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4230 + 6331. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/2 of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 716316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**5\/35 + 2*j**4 + 442*j**3\/21 + 338*j**2\/7 - 583. Factor s(x).\nAnswer: 2*x*(x + 2)*(x + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1290 and 308740.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70 - 195 - 78)*(-3 - 2*r**2 + 3)*(-45*r + 45*r - 33*r**2)*(3 - 2 + 3) as a*r**4 + d + p*r**3 + t*r**2 + g*r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**3\/3 - 5*d**2 - 16*d + 47. Let v be i(-3). Let p = 0.5 + -3.5. Which is the nearest to -2\/7? (a) v (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3, -24 = -4*o + 4*w + 20. Suppose 0 = 4*t - 0*t - o. Suppose 4 = -l + t*c, -14 = -l - 3*l - 3*c. Is l != 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = -3*n + 728. Let u be 2806\/138*(5 + 1). Let j = n - u. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 11:28 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 17*a**2 + 6*a + 5. Let v be h(-1). Let l = -201\/44 + 19\/4. What is the third smallest value in l, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15021, -20702, -30171, -43428, -60473, -81306, -105927?\n\"Answer: -1894*k**2 + k - 13128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 f when three letters picked without replacement from {k: 2, f: 5, a: 12}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + (13 - (29 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 661, 655, 649, 643, 637?\n\"Answer: -6*g + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 7:19 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i - 14. Let w be x(-7). Let s = 43 - 17. Suppose 3*f - s = w. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*a - 14*a - 324 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 9350.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 + 423 = 15*w - 4173. Calculate the highest common divisor of 231 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 3*i - 1. Let r be c(4). Suppose 29 + 67 = r*l. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0971 - -132.0971. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/1968456 and -109\/364164360?\nAnswer: 364164360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5562387 is divided by 1854109?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 7 - 2. Let r(s) = -s**3 - 5*s**2 - 2*s. Is r(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 56 + 116)*(-10 - y - 10*y + 8).\nAnswer: -1474*y - 268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -245.6\nAnswer: -49.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1265*n - 4107 + 4107)*(-n**3 + 0*n**3 + 6*n**3)*(-1 + 0 - 3).\nAnswer: -25300*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24429218 to 4 decimal places.\nAnswer: 0.2443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/4 + 1317*k\/4 - 18693 = 0. What is k?\nAnswer: 67, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h\/h**(-10)))**(-28)*h*h**(-1\/17)*h\/(h**(-14)\/h)*h)**(-5\/7) assuming h is positive.\nAnswer: h**(-20565\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16*4)\/((3393\/116)\/9).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 23*z**2\/2 - 25. Let g(r) = -110 + 3*r + 110. What is g(s(d))?\nAnswer: 69*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 103796?\nAnswer: 518980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/(((w\/(w*w*w*w*w**(2\/7)))\/w)\/w)))\/w)\/w)\/w)**28*(w\/(w\/w**(-2\/11)*w))\/w*w**2 assuming w is positive.\nAnswer: w**(-2554\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and 0.56212386.\nAnswer: 0.51212386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 - 10*v + 29. Let u be q(7). Solve -4*y = -u*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 54*f - 232. Determine c(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 - 24*n + 24*n + (0 + 2*n**2 + 0)*(-1 + 0 + 3) + 0*n**2 + 16*n**2 + 11*n**2 as r + t*n + d*n**2 and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0186143639 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uddd when four letters picked without replacement from {u: 7, d: 12}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*5\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 37, 2, 5\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(((-1)\/2)\/1). Suppose f*z - z = 0. Is 111 + 2 + (z - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56d (base 16) in base 9?\nAnswer: -1813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-15) + 11\/3. Suppose x*l - 7*l = 28. Let u = l - -7. Solve u = -4*m + m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 525231 (base 6) to base 2\nAnswer: 1010011010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201.5 - 202. Put -4, u, 0, 6 in decreasing order.\nAnswer: 6, 0, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1212 and 559116?\nAnswer: 56470716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:18 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*k = 4, -225 = -o + 3*k - 211. Solve -4*u = s + s + 10, 0 = u + o*s + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 8*k**2 + 2*k**2 + 9*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:46 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38147306513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 712208 and 51464?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 561 - 539. What is the remainder when 83 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -313 + 940\/3. What is the closest to -3\/5 in -6\/11, 1\/5, s?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 2 = -37 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 + 5 + -4 - (-9 - -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(224) - (sqrt(224) - sqrt(224)*-2) - sqrt(224) - sqrt(14)))\/(sqrt(35)\/(2*sqrt(5)) + sqrt(7)).\nAnswer: 28*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*v**3*x**2 - 18*v**3*x - v**3 + v**2*x**2 + 1291*v**2 - 4*v*x**2 + x**2 wrt v?\nAnswer: 612*x**2 - 108*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 575753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)\/f)\/(f**31*f) assuming f is positive.\nAnswer: f**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 673 = -160. Let h be (-12)\/(-18) + d\/9. Solve -13 - h = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 19*q - 11*q. Let w(p) = -p. What is r(w(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 872858 (base 12) to base 9\nAnswer: 4022165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*n - 2 = -4*n, 5*n - 5 = -3*r. Let b(f) be the first derivative of f**3\/3 - 2*f**2 + 379*f + 79. Is b(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*d - 47*d = -81*d - 7585 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5.47, -0.5, -35 in decreasing order.\nAnswer: 5.47, 1, -0.5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/(-1*sqrt(324)).\nAnswer: -4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4776, 17495, 38694, 68373, 106532, 153171, 208290?\n\"Answer: 4240*m**2 - m + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/27 and -47\/2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -608*i**6 + 8*i**4 + 2*i**2 + 126849*i wrt i?\nAnswer: -72960*i**3 + 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 34*n**2. Let z(u) = 797*u. Give j(z(c)).\nAnswer: 21597106*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 2}. What is prob of sequence mmx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*p + 100*p - 222 + 586 = -104*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/18, -0.11, 0.3, 2\/9?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Suppose -3*g = -6*g + 9. What is the derivative of -u*q**3 + 3*q**g + 4*q**3 - 1 wrt q?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -686, -607, -456, -197, 206, 789?\n\"Answer: 6*r**3 + 37*r - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 32*n - 93. Let s(f) = -3. Let o(w) = -l(w) + 5*s(w). Let b(y) = 33*y - 79. Let j(u) = -4*b(u) - 5*o(u). What is the derivative of j(z) wrt z?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 96364 (b) -11\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Does 878 = -5.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-54) - 14\/63. Suppose -5*s = i - 12 - 39, -5*s - 25 = y. What is the greatest common factor of i and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1265 - -171?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u - 1. Let a(x) be the third derivative of x**5\/15 + 5*x**4\/24 - 7*x**3\/6 - 101*x**2 - 2*x. Give -a(i) + 5*q(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*l + 196 - 263 - 245 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 84*q - 2. Let p be l(2). Let r be p\/18 + (-20)\/90. Do r and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/210 and 107\/87885?\nAnswer: 175770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**5\/45 - 2*q**4\/9 - 4*q**3\/9 - 4*q**2\/9 - 2*q\/9 + 710. Determine j so that z(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7*o + 84 = 0. What is the smallest common multiple of 42 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - 6*sqrt(1375))\/sqrt(11) - ((-2 + sqrt(5) - sqrt(5) - sqrt(5))*-2 - sqrt(240)\/sqrt(3)).\nAnswer: -27*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let v(u) = 2*u + 1. Suppose -24 = 89*c - 97*c. What is c*v(o) - 4*d(o)?\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 1:12 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.0396 - -0.0384. Let d = -0.33 + 0.252. Let i = d + h. What is the second smallest value in 0.4, -0.04, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*l - 115 = -5*l, l + 335 = 3*v. Suppose -165 = 5*c - 2*h - h, c = 3*h - 33. Let f = v + c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -d + 2, 223 = -n - 3*d + 219. Which is the third biggest value? (a) 16.52 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 s when four letters picked without replacement from {s: 2, o: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2354508847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/(-9)*5*(-6)\/(-20). Let j = 1 + 20. Let m = j - a. Calculate the least common multiple of 17 and m.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 904912123 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:22 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71361 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*(m*m**(2\/3))\/m*m)\/m)\/m**(4\/3))\/(m**(-1)*(m\/(m**5*m))\/m))\/(m**(5\/2)\/m**(2\/49)) assuming m is positive.\nAnswer: m**(1433\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 14. Solve u*y = -2 - 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 213, 3, -5 in descending order.\nAnswer: 213, 8, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/7 - 36*v**2 - 960*v\/7 - 944\/7.\nAnswer: -4*(v + 2)**2*(v + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-19 + -5 + 13 - -13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 6. Let r = -2.5 - x. Let l = -0.4 - -0.2. What is the third biggest value in r, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-117)\/(-2457)*847\/6 and 63\/1094.\nAnswer: 9846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -s + 2*i, 0 = -4352*s + 4351*s - 5*i + 63. Calculate the remainder when s is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174 - 172. What is the third derivative of 123*j**4 + 193*j**r - j**6 - 53*j**2 - 15*j**4 - 11*j**3 + 11*j**3 wrt j?\nAnswer: -120*j**3 + 2592*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - h + 3 - 14 = 0, 5*j + 5*h = 45. Let g = 11 - 6. Solve -1 = -g*f - n - n, j*n - 15 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - g = 3*s + 21, 3*s - 8 = 4*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**4\/12 - p**3\/6 + 4*p**2 - 4. Let g(x) = -x + 2. Give 3*g(v) + 2*n(v).\nAnswer: v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 7*b - 3562. Suppose 5*n + b = 1494. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/23)\/(2\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*q - 1886*q - 8230 - 11735 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 32 (b) 0.03 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -4*v + 5*j - 2*j, 0 = -4*v + 5*j + 130. Calculate the remainder when v is divided by (22\/(-7))\/((-4)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - g - 16 = -2, 0 = -g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 12. Let b(g) = -g + 15. Let p be b(z). Calculate the highest common divisor of 189 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Solve -16 = -g*x + 2*i, 4*x + i = 1 + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 f, and 1 t when four letters picked without replacement from fjjjtjjrjfrf?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4696860582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-72)\/((-21600)\/(-75))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2624 - 2596 = 4*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 51.8 times -0.3\nAnswer: -15.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (13 - 5 - -6). Suppose -h*y = -2*y - 1560. Calculate the highest common divisor of y and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1383*m*o**3 - 2*m*o**2*q - 2*m*o*q + 4*m*q + 15*m - o**3*q - o*q + 4 wrt o.\nAnswer: -8298*m*o - 4*m*q - 6*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/55*((-465)\/(-6))\/31\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r. Let s(n) = -6*n. Let a(m) = -6*s(m) + 5*w(m). Let g(j) = -5*j. Give a(g(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3622 = 7*b - 9971. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3.9 (c) -1 (d) -0.01 (e) -53\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513848.\nAnswer: 2, 3, 7, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192\/6469 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(78\/(-4))*6\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a)**(-1\/2)*a**4\/(a**6\/a) assuming a is positive.\nAnswer: 1\/sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 - 3*y - 12. What is the units digit of r(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045434 to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -10, -1\/3, 0.3, 40459\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -105. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1010*k + 24247. Calculate n(-26).\nAnswer: -2013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11386 and -2.8?\nAnswer: 31880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 89\/((-96921)\/132)*45\/6\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230 is divided by 285.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -14\/67, 5, -5\/2, 0.1?\nAnswer: -14\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 77*s**2 + 27*s - 7. Let k be t(-38). Sort 5, -1, k in descending order.\nAnswer: k, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2332*x**2\/7 + 6984*x\/7 + 36\/7.\nAnswer: -4*(x - 3)*(583*x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 36 = -2*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*18\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.448 - 0.552. What is the nearest to 13 in 5, -3, f, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324531133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 10\/3*u**3 - 5\/2*u**2 + 6 - 6*u. List the prime factors of q(-4).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 26. List the prime factors of -6*(-2)\/n + 1422\/8.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -583587 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -876.7, -76\/5, 1.5 in decreasing order.\nAnswer: 1.5, -76\/5, -876.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97998 or 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 7. Let y be d(5). Suppose -y*u - 2 = 0, 5*k - 8 - 34 = 2*u. Solve -3*t - 15 = -k*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 423?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*w + 65*w + 5*w + 73*w.\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23330*s**2\/3 + 12436*s + 32\/3 = 0.\nAnswer: -2\/2333, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*r - 9946 - 3786 - 1280 = 0 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651\/(-1612) - (-2)\/13.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7687587 is divided by 611?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11796300001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10\/9 + 32\/9. Let p = d - 5. Let l = 170\/7 - 24. Put l, 0.1, p in increasing order.\nAnswer: p, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 6358*p**2\/3 - 6361*p\/3 + 12718\/3.\nAnswer: (p - 6359)*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1822013195 to the nearest integer?\nAnswer: 42685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlwwwlwww. What is prob of sequence wl?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 38\/9*k**4 + 64\/9*k - 128\/9*k**2 + 2\/3*k**5 + 20\/9*k**3 + 0 = 0.\nAnswer: -4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17874752 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -453 - -967. Let m = 513.552 - b. Round m to two decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129869 is divided by 271?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 60\/5*36\/32*(-220)\/(-198)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/36)*y*y\/((y**(-1\/5)*y)\/y*y)*(y\/(y*y*y**(5\/3)))\/y*y**(-2\/3)*y)**(6\/37) assuming y is positive.\nAnswer: y**(-209\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 1, -2, 5 in increasing order.\nAnswer: -2, 1, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2 + 28. Let r(m) = -8*m. Let l(i) = 11*i - 4. Let n(z) = 21*z - 7. Let s(d) = 7*l(d) - 4*n(d). Give q*r(p) + 7*s(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -164.7 (b) -1\/5 (c) 9 (d) 7 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16614918, 16614916, 16614912, 16614906, 16614898, 16614888?\nAnswer: 16614876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*t, 8 = -4*f + 2*t + 4. Let h(u) = -u**2 - 6*u. Let p be h(-6). Let s be 6 + 2\/f - p. Let z(g) = g - 11. Calculate z(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.77. Let g be -39 + (-52 - -96) + 6. What is the third smallest value in p, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.6624.\nAnswer: -3.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18646 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702 is divided by 127.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 0.00254, -0.8, 5 in descending order.\nAnswer: 5, 0.00254, -0.8, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 862*o - 923. Determine b(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61317.38mm to micrometers.\nAnswer: 61317380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156 is divided by (-8)\/96*-1593 + 15\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 47 (c) -36.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.36 at least 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s + 8*s + 4*s + 6*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -181*(4 + -5)*-1. Let f = -72 - k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17368 - 17298 = -14*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)*(-9 + -8). Calculate the greatest common divisor of h and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1970511517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 10*u**2 + 10*u - 8. Let l be c(9). Suppose 0 = -2*s - 3*g - 2*g - 18, 0 = -5*s + 3*g + 17. Is l greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/3 - 6*a**4 - 11*a**3 - 16*a**2\/3 = 0?\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 891, 1346, 1801, 2256, 2711?\nAnswer: 3166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -30*r - 4*r - 4*r + 426 + 37*r - 39*r. Determine d(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3602.628743 + -3449.62856. Let u = -120.9 - 32.1. Let c = r + u. What is c rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/7 + 681*m**2\/7 - 40560*m\/7 + 80400 = 0.\nAnswer: 20, 67, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -87379.\nAnswer: -21\/87379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/23 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2933 and -4?\nAnswer: 2937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46823342 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0 = 2. Let x be (-26)\/42 + v\/(-3). Which is the second smallest value? (a) 0.1 (b) 0.05 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*-2 - -4 - 7. Let x be (2 - (-14)\/r)\/(2\/(-12)). Suppose -x = 5*p - 29. Solve 0 = u - 2*v + 5, -p*v - 4 = 3*u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n**2*r*s**2 - 8*n**2*r - 2*n**2*s**2 - 2*n**2*s + 11*s**2 wrt r.\nAnswer: -5*n**2*s**2 - 8*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 3. Let a be z(0). Let n = -3 - a. Solve n*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n\/n**(-3\/2)))*n\/(n*n**(3\/5)*n))\/(n*n**(2\/5)*(n*n*n**(-5)*n)\/n))**(-13\/8))**(-30\/7) assuming n is positive.\nAnswer: n**(585\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 3*x**2 - 4*x. Let i(w) = -6*w**2 - 9*w**2 - 22*w**2 + 51*w**2 + 2*w - 12*w**2. Determine 2*c(z) + 5*i(z).\nAnswer: -2*z**3 + 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 3. Let s be p(-6). Suppose 5*y = s*z - 8, 4*y = -3*z + 5*z - 6. Round z to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (192\/20)\/(-2)*(-20)\/2*1*-1\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(152)*-5)\/((sqrt(1200)*2)\/sqrt(6)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1440956 to 3 dps.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429579?\nAnswer: 2429579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 5*j**5 + 6*j**4 - 7*j**5 + (-3*j + 2*j + 0*j)*(25*j**2 - 25*j**2 + 136*j**4).\nAnswer: -138*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 99*v - 7. Let l be j(1). Let u = l + -76. Suppose -3*r = -2*r - 4*n - u, -r - n = -11. Solve -m - r = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461639, 923276, 1384913, 1846550?\nAnswer: 2308187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -59*a - 15. Let f be d(-3). Calculate the greatest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*h*o - 5051438*h - 39062*o wrt o?\nAnswer: -16*h - 39062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.2, -4, 2\/11 in descending order.\nAnswer: 12, 2\/11, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12020121221 (base 3) to base 15.\nAnswer: 208d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3))\/((-22)\/12) - 80\/(-44). Solve -z - 67 = -2*y - 80, -q*z - 5*y = 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/2*4\/6. Suppose -2*k = x*j + 4, -k - 7*j + 6 = -2*j. Let n be (k + 1)\/((-9)\/15). Sort -3, n, 1.\nAnswer: -3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.316 - -0.539. What is q rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and -1\/695553744.\nAnswer: 2086661232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -63*k - 626. Let f be d(-11). What is the greatest common divisor of f and 2144?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2936 - 2926. Solve 4*q + h = -v, 88*q + 3*h + 9 = 83*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 17*y**2 - 337*y - 314*y + 645*y - 49 - y**2 + y**3 + y**2 + (-1 + 0 - 1)*(0*y**3 - 4*y**3 + 3*y**3).\nAnswer: 4*y**3 - 17*y**2 - 6*y - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5425 or -108513\/20?\nAnswer: -5425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00933204 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6317661 divided by -107079\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.87 take away 0.8938?\nAnswer: -25.7638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z. Let h(r) = r - 332. Calculate u(h(n)).\nAnswer: 2*n - 664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 5*r**8\/336 + 11*r**5\/30 + 9*r**2. Find the third derivative of z(c) wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6*-5)\/((-1)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 8*k - 440 = 19*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56889 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -10ac0aa?\nAnswer: -10ac0ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1214023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -12*b + 42 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-14))\/((-52)\/(-91))*-2. Is 39 a factor of i\/2*2 + 198\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 78*i**2 - 57*i**2 + 7*i - 5*i.\nAnswer: -132*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -155262580 rounded to the nearest one hundred thousand?\nAnswer: -155300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.15, 0, -30, -14\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 1 = 2*m + 3*m, 0 = 4*x - 3*m + 25 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 + 37842. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328512*f**3 - 233676*f**3 + 444192*f**3.\nAnswer: 539028*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - 112. Let z = t - 62. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2058, 2\/7, -13, 0.2, -2\/13 in decreasing order.\nAnswer: 2\/7, 0.2, 0, -2\/13, -13, -2058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1226*p**3 + p**2 - 18393*p wrt p.\nAnswer: -7356*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 24087542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 13*q**4 - 20*q**3 - 84*q**2.\nAnswer: q**2*(q - 3)*(q + 2)*(q + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 + -0.01. Which is the closest to 0? (a) 0.5 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16*(3\/(-2) - -2). Let q(d) = d - 4. Let c be q(o). Suppose c*z - 44 = -0. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -14 - 108\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3673 + -3667. Let x(s) = -s - 1. Let a(j) = -28*j - 7. Give q*x(r) - a(r).\nAnswer: 22*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -111 and 0.01?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.168, 3\/2, -5, -4, -18 in descending order.\nAnswer: 3\/2, -0.168, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let y(c) = 3*c**2 - 2*c - 1. What is the units digit of y(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*y + 5*a + 72, -y = -4*a - 22. What is the remainder when 40 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 104534*h - 2194781. Calculate c(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 22*s**2 - 21*s - 31. Let o be h(23). Suppose -3*m - o = 0, -2*b + 14*m = 9*m - 2319. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 4*l + 7\/3*l**3 + 1\/4*l**4 - 26 - 7\/2*l**2. Let r(h) = -7*h**3 - 2*h + 1. Let c be r(1). Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 14*d + 22. Let r = -46 + 143. Suppose 0 = -5*i, -r = -5*s + 5*i + 28. Calculate the remainder when s is divided by o(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4097 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3324 (base 7) to base 14.\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 63\/29 (b) -3\/2 (c) 6 (d) 0.8 (e) 1 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 30\/220 - ((-4277637)\/858)\/(-63)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -33. Put 5, -4, y, 0 in decreasing order.\nAnswer: 5, y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -3*o - 17*u - 7, 5*u + 21 = -4*o. Let q = -0.9 + 0.5. What is the third biggest value in o, 3, -4\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-19.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z - 0*z. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:31 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-30))\/((-2)\/3). Let b = -371.4 - -370.4. Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-8))\/(8\/(-6)). Suppose -d*g + 463781 = -85819. Round g to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17066 by 322.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyyylyyyllyll. What is prob of sequence ylyl?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -9*f - 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (4 - -1) - -1403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*((10 + -30)\/20 + -3 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*g + 8. Let k(w) = -64*w - 1084. Let s be k(-17). Solve 25 = g*m + 5*p, -s*p = -m - 26 + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 24 = 26, 2*p + 104 = 5*o + 105*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*c + 768 = 7*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/((-299)\/(16445\/(-990)))?\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + 6*r + (-2*r - 4 + 4)*(3 - 4 + 0))*(-16446*r + 1106 - 16437*r + 32887*r).\nAnswer: 16*r**2 + 4424*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**2 - 27 + 3*q**2 - 12*q**2)*(-175*q - 163*q + 439*q).\nAnswer: 101*q**3 - 2727*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1797 + 3158. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 18*l**5 - 2*l**5 + (-3*l**3 + l**3 + l**3)*(0*l + 0*l + l**2) + (-8*l**2 - 2*l**2 + 4*l**2)*(-3*l**3 - 2*l + 2*l**3 + l).\nAnswer: 20*l**5 + 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -3)*1\/(-2)*2. Let r(m) = -2*m + 1. Let g(o) = 4*o**2 + 7*o - 52. Let a(b) = v*r(b) + g(b). Differentiate a(p) with respect to p.\nAnswer: 8*p + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -54, -83?\n\"Answer: -29*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 1, d: 1, g: 5, x: 4}. Give prob of sequence fxxx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.2 + 3.3. Let h = -30 + b. What is h rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:24 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/7*(5947\/38 - -4)*-35.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 8*i - 11. Let y = -551 - -558. Give d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110011111111001000 (base 2) to base 10.\nAnswer: -2310088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5, 3*k + 4*n - 5489 - 147 = 0. Suppose 0 = 5*w - 13*w + k. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6801*13.3.\nAnswer: 90453.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 6*p + 2. Let w be y(5). Suppose -4*l = -w*l - 9. Let n(k) = -3*k**3 - k**2 + 2*k - 1. Calculate the remainder when n(l) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 37 - 317 - 243*b.\nAnswer: -243*b - 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -174 + 4235.3126\nAnswer: 4061.3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 610273 (base 16) in base 13?\nAnswer: 1417a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11 (b) -1\/6 (c) -12374 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*x - 22, -2*j + 4*x = 2*j - 24. Suppose -d + 3 = 3*y, -j*d - 3*y = d - 3. Is 1\/5 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 - -92. Let l = w + 79. What is the remainder when 34 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1120\/27 + -10831\/270. Find the common denominator of -101\/30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*z**3 + 400*z**3 - 39*z**3.\nAnswer: 755*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 225248197547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -6.47?\nAnswer: 27.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**3 - 1725*z**2 + 34230*z - 127400 = 0.\nAnswer: -364, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 206153 (base 14) to base 11\nAnswer: 6867a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4 - 4*s + 4*s**5 - 5*s**4 - 2*s**4 - s**4 + s**4 + 8*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1190719 is divided by 12206.\nAnswer: 6737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2285 is divided by 455.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 28*x**3 - 2*x**2 - 8*x + 7. Let a(r) = 29*r**3 - 2*r**2 - 8*r + 7. Let k(j) = 2*a(j) - 3*i(j). Is k(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98 - 7 + 17)*(2*y**2 - 5*y**2 + y**2) - 5*y**2 - 364 + 365 + y**2 to k + x*y**2 + a*y and give x.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2\/5 - 17042*k\/5 - 72607441\/5 = 0.\nAnswer: -8521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1))**(-30)*(h*h\/(h\/h**(-1\/3)))**(-14) assuming h is positive.\nAnswer: h**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1262 = 21*h + 2. Calculate the remainder when h is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - t + 62 = 0, -5*m - t - 3*t = -108. Let g be (-48)\/m + 2\/5. Calculate the common denominator of 59\/2 and -1 - ((-82)\/(-16) - g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let p be ((-329)\/49 - -7) + (-16)\/7. Let m(j) = -2*j. Let a(i) = -44*i + 1. Let g(k) = p*a(k) + 22*m(k). Determine g(z(q)).\nAnswer: 44*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 - (-2 + 0))*(-1)\/4. Is 0.4 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238*y - 31*y**2 - 240*y - 10*y**5 + 478*y wrt y.\nAnswer: -600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (-4 + 10 - -22) - (-53 + 2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + (sqrt(1539) + -1)**2 + sqrt(931) + -1 - ((0 + (2*sqrt(2299) - sqrt(2299)))**2 + (sqrt(2299) - (0 + sqrt(2299) + 2)**2))).\nAnswer: 22*sqrt(19) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -29517.\nAnswer: 70\/29517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 18*l**2 + 39*l + 28. Let r be s(20). Let c be (24\/18)\/(r\/(-12)). Is c < 30\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5531, -11295, -17457, -24215, -31767, -40311, -50045?\n\"Answer: -33*n**3 - n**2 - 5530*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 60 + 6139?\nAnswer: 6199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242879 and 14287?\nAnswer: 242879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 303*s + 979. What is g(-155)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 3*o**2 - 8. Suppose k + 2*k = -y + 7, -3 = -3*y. Suppose -2 = k*i - 12, -5*u + i = -10. What is the remainder when g(4) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 7.\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 = -36. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53780482?\nAnswer: 2, 7, 337, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 12. Let u be y(-12). Solve u = -3*b - m - 5 - 2, -2*b + 2*m - 10 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464240012?\nAnswer: 2, 17, 61, 111919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - b - 15 = -4*m, 3*m + 10 = 5*b. Suppose 1 = -4*o + m*o. Which is greater: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-11))**(6\/17) assuming x is positive.\nAnswer: x**(-60\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -93*d**2 - 6*d + 50. Determine n(0).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 v, and 1 z when four letters picked without replacement from {v: 4, w: 1, z: 2, u: 1, h: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4939, 8522, 12093, 15646, 19175?\n\"Answer: -z**3 + 3590*z + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.289 - -41.289. Which is the nearest to u? (a) -510 (b) -0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/27*-1*(-4)\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/221 + 5\/884. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - 3*q**3 + (q**2 + 0*q**2 - 2*q**2)*(-4*q - 4*q + 4*q) + 3*q**3 - 2 + 2 + 3*q**3 - 2*q**3 + 0*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-22) + -2)\/((-3360)\/36960)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152334 divided by 378?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - -24.94. Let z = v - 25.0105. Round z to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let z(r) = -r + 1. Let x be z(-1). Let q be p(x). Which is the nearest to 1? (a) 1\/6 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrppmplprrprdd. Give prob of sequence pd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m. Let h be u(-2). Let w be (-30)\/5 - (-3 + -6 - 2). Solve w*q - 22 + 2 = h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f + 1020 = -109*f + 65*f + 5*h, -5*f + 426 = 3*h - 34 for f.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 34 - ((-4 - 0) + 4 - 6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -219*j**2 - 292*j + 292. Let m(o) = o**2 + o - 1. What is 292*m(g) + s(g)?\nAnswer: 73*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*-2*(2 + sqrt(1584) + -4))**2 + -2 + 2.\nAnswer: -96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22481560 divided by -3\nAnswer: -22481560\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13379 is divided by 446?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.08 - 0.08. Let p = -993 + 995. Which is the smallest value? (a) -1\/9 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*3*(-22)\/132\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2339, -3196, -4053, -4910, -5767?\nAnswer: -6624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 36081, -5 in descending order.\nAnswer: 36081, 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8746 - 962993*t + 962918*t + 8746.\nAnswer: -75*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -20*t + 78. What is l(13)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 1. Let d(h) = h**2 + 6*h + 6. Let a be 42\/35*(-5 + 0). Let t(c) = a*j(c) + d(c). Let s(f) = -9*f**2. Determine t(s(i)).\nAnswer: 81*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 403*b*v**2 + 17*b*v + 598*b + 195*v + 2245 wrt v?\nAnswer: 806*b*v + 17*b + 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 481288073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/24 - 1\/8. Let f(n) = -n**3 - 5*n**2 - 4*n + 3. Let t be f(-4). Let d be (8\/12)\/(z\/t). Which is bigger: d or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.537882 rounded to 1 dp?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 178. Let k(o) be the first derivative of 32\/15*o**f - 8\/5*o**2 + 2\/5*o + 3. What is r in k(r) = 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3807687 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*c**3 + 802*c + 57*c**3 - 16*c**3 - 53*c**4 wrt c.\nAnswer: -636*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 364612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.05 + 17. Let q = -0.45 - u. Let g = 46\/3 - 16. Which is the closest to -1? (a) 5 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -603.458 - 78.\nAnswer: -681.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 18. Let y be u(-19). Put 8, y, 1 in decreasing order.\nAnswer: 8, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/11)\/(a\/(a*a**6)))\/(a**6\/((a**(-2\/13)\/a*a*a)\/a)) assuming a is positive.\nAnswer: a**(56\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11021220 (base 3) to base 8\nAnswer: -6071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58.132 - 0.5\nAnswer: 57.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 40 = -5*t, 6 = 3*r - 9. Suppose 798 + 4494 = t*v. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*v + 0*v - v)*(3 + 1 - 7) + 2*v - 5*v + v)*(-4*v**2 - v**3 + 4*v**2) + 19*v**4 - 7*v**4 + 8*v**4 as k + m*v + g*v**2 + o*v**4 + h*v**3 and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 + 193. Which is the nearest to f? (a) -0.5 (b) -3 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 1:08 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdzpxydpyyd. Give prob of sequence xdz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 105.6422 nanoseconds?\nAnswer: 0.1056422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5749\/6 - -949. Suppose 0 - 10 = 5*z. Calculate the common denominator of w and ((-1)\/z)\/((-4)\/29).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 17*p - 2124 = -52*p - 156*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654 divided by 2654?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05657+-80\nAnswer: -79.94343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s + 1460799*s**3 - 1459667*s**3 + 0 + 0 + 26*s.\nAnswer: 1132*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r + 756. Let p be i(-54). Solve -12 = 4*y - p*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 4*t - 3. Let v be w(2). Let y be (-3 - 984\/(-18)) + 2\/6. What is the highest common factor of v and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (3 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (53 - (-9 + (10 - 12))) + -9.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 11 = 5*l. Suppose -v = l*v - 12. What is the smallest value in -3, v, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78*-797 + 64\/(-16). Is v\/(-90) + (-4)\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156 + -156. Does -6\/5 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, o: 2, s: 4}. What is prob of picking 3 s?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 4.0988\nAnswer: 20.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 301, -1\/4, -2\/19, 2\/45, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 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: Let t be 4*-1 - (-5 - -2). Let l = t - -5. Suppose -2*d - d = 2*n - 780006, -l*n + 1560006 = 3*d. What is n rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 23 = -h, 0 = -2*h + 4*g + 13 + 11. Let f be (h\/4)\/((-2)\/(-24)). Suppose -f*m = -m. Solve -i + 4 = -m*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -117.953. What is p rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440343204 (base 5) in base 7?\nAnswer: -22020226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (8 - 5 - 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(20\/9)*y*y**12*y)\/(y*y*y**(-22)*y*y*y\/(y\/y**(-10\/9)*y)) assuming y is positive.\nAnswer: y**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/120 - a**5\/20 + a**4\/8 + 2*a**2. Let r be i(-4). Let p be 7566\/(-40352) - 83\/(-16). Put -9, p, r in increasing order.\nAnswer: -9, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -108117*u + 216251. Calculate h(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204831565?\nAnswer: 5, 5077, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 227831 and 1096.\nAnswer: 1822648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t - t, -3*b = 5*t - 8. Let l = -0.2974 + 0.0524. Let g = l + -0.055. Put -0.4, b, g, 0.02 in increasing order.\nAnswer: b, -0.4, g, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = -3*b + 4, -4*n = -4*b + 16. Suppose l - b - 1 = 0. Suppose l*p - 100 = p. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v - s + 2, 5*v = -4*s + 10. Find the third derivative of 18*d**v + d**3 - 10*d**3 - 6*d**3 wrt d.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125609007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92)\/14*(-1)\/6. Let z = -18 + 52\/3. Let r = z + c. What is the smallest value in -5, 2\/5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.79 in 13.572, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73\/6 + 12. Let j = 174 + -1568\/9. Which is the second smallest value? (a) o (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*i - 15, 0 = -2*q + 4*q - 5*i - 6. Find the third derivative of 2*s**4 + q*s**2 - s**4 + 0*s**2 - 4*s**2 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 - l - 1. Let m be p(-2). Suppose 0 = -y + 3*z - 46, -62 = -y + 2*y + m*z. Round y to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314198209*k**2 - 3*k - 953715492 with respect to k.\nAnswer: -628396418*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-3*r + r + 0*r) + 26*r - 3*r - 12*r - 2*r - r + 5*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**4 + 680*s**3 + 1146*s**2 + 460*s = 0. What is s?\nAnswer: -1, -2\/3, 0, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*-1)\/(sqrt(192)\/sqrt(4)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i**4 + 34*i**2 - 34*i**2 + (-3*i**2 + 2*i**2 + 2*i**2)*(i**2 - i**2 + i**2).\nAnswer: 19*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(4\/9)*d*d*d)**(-30)\/((d*d*d**(2\/11))\/(d*d**(-1\/5))))**(-39) assuming d is positive.\nAnswer: d**(231764\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 10*i**2 - 6*i + 1. Let b be c(-6). Let a = 94 + -57. Let f = a + b. Solve 0 = f*k - 5*q + 3, -k + 3*k + 11 = -3*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**3 - 2*h**3 + 8*h**3)*(3 + 3*h - 3)*(4 + 0 + 2) to u*h**4 + q*h**3 + a + t*h**2 + g*h and give u.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247468 is divided by 131.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t = -10. Suppose t*n - 3*n + 3 = 0. Solve 3*m - s - 4 = 8*m, -3*s = -n*m + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 14 + (0 - (-2 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3)*(5\/6)\/(-1). Is x less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 7*l - 7. Calculate the remainder when j(7) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -728\/37 less than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(243)*1.\nAnswer: 3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -748, 1\/4, 68, -0.1?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-178)\/4 + 4\/8. Suppose 5*k + 5*d - 58 = 3*d, -3*k = 4*d - 46. What is the units digit of o\/(-7) - k\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - h - 80 + 42 to s*h + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 26*s**2. Let k(b) = 27*b**2. What is p(k(l))?\nAnswer: 18954*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ab22 (base 12) in base 14?\nAnswer: -217aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d - 0*d. Suppose -10*u + 260 = -d*u. Let a = 12 + 91. What is the remainder when a is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -5 + 17)\/((460\/276)\/((-10)\/6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -855 - -850. Which is the closest to 2\/5? (a) j (b) -37 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1785*b**2. Let t(w) = 4*w. Determine t(x(j)).\nAnswer: -7140*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(75\/18)*(-71)\/((-71)\/25).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:13 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4527610 rounded to the nearest 10000?\nAnswer: -4530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -108. Let y = 22 + 23. What is the derivative of -u + y - 4*h**3 + h**3 wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m + 15. Let z be r(-5). What is the second derivative of 393*h**2 + 32*h + 2 - 1 + z*h - 408*h**2 wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118111266731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 337638 and 12.\nAnswer: 675276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135290?\nAnswer: 2, 3, 5, 13, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0.1. Let d = 1136 - 1135.89. Let i = d + v. Round i to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 3*p**2 - 7*p**2)*(-p + 6*p - 3*p) + 4 - 4 + 2*p**3 to the form d*p**3 + s + z*p**2 + j*p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5.4. Suppose -3*p - 11 = -2. Let q be 2*1\/p*1. What is the closest to q in a, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y + 5 = 0. Is -1 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*f)*(0*f + f + f) + 4*f - 4*f + 2*f**2 + 45*f - 43*f - 214*f**2 - 195*f**2.\nAnswer: -411*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -8, -726, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 3223?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 1\/540*m**6 + 0*m - 11\/2*m**3 + 1\/90*m**5 - 2\/9*m**4 + 31*m**2 + 0. Let f(k) be the first derivative of r(k). Factor f(j).\nAnswer: 2*(j - 2)*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2134*c + 12798. What is b(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2 + 4. Let i = 54 - 56. Is 290*(b\/i)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4279696 to two decimal places.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Let v(q) = -3*q**2 + q + 1. Let r(z) = -5*z**2 - z - 3. Let t(a) = r(a) - v(a). Give t(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:29 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.083 + 0.202. Let l = 0.009 - n. Let p = 4.59 - l. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 302, 448, 614, 806, 1030?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005543085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 7*k + 309*k**2 - 2 - 306*k**2 to w*k + x*k**2 + i and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 7. Let m be x(-5). Let d be ((-7)\/m)\/(-4 + 15). Let f = 6\/11 + d. Which is smaller: -0.1 or f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6875560, 6875561, 6875562?\n\"Answer: n + 6875559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2561585294?\nAnswer: 2, 53, 24165899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4898 is divided by 104.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j - 67. Let u(b) = -6*b + 64. Calculate 3*u(l) + 4*z(l).\nAnswer: 2*l - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 4*a**2 + 3*a. Let o be g(-3). List the prime factors of (0 - 0) + (434 - o) + 5.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/3)\/((0 + 1)*(-82)\/(-123)). Sort 3, 119, v, 5.\nAnswer: v, 3, 5, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*g + 171*g - 372*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6460143 to the power of 1\/2, to the nearest integer?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3\/2 + 17472*j**2 - 16713255*j\/2 + 1020741579 = 0.\nAnswer: 247, 11154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 1. Let o(n) = -n**2 - 5*n - 4. Let k be o(-4). Suppose 4*c = 2 + 2, -2*b - 4*c + 2 = k. What is j(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29\/23 - -2695\/368. Let g(y) = y**3 - 2*y**2 + 8*y - 3. Let q be g(7). What is the common denominator of 18\/(-54) - q*1\/132 and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/(y*y*y**(-2\/95)))\/y)\/(y*y\/((y**(-20)\/y)\/y)))\/((y**(-2\/35)\/y)\/(y\/(y**(2\/21)\/y))) assuming y is positive.\nAnswer: y**(-41929\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 1023788895525*h - 1023788895525*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 2\/3, 11, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyy when three letters picked without replacement from {c: 1, b: 3, y: 9, f: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (10 + (-10 - (-27 - -15)) - -52).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8311556, -16623117, -24934678, -33246239, -41557800?\n\"Answer: -8311561*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -32023 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1404\/546)\/(-4 - 249\/(-63)) - (6 - -3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6928d5 (base 15) to base 4.\nAnswer: -103021233101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/3 - 4985*h\/3 + 11550.\nAnswer: 5*(h - 990)*(h - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*((-16)\/(-14))\/4. Let p be s\/(-10)*5 + -41. Let w be (153\/(-2))\/3*p\/30. Which is smaller: w or 35?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/54 and 1\/14610?\nAnswer: 131490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0*p**5 + 0*p + 0*p**4 + 1\/21*p**7 - 1\/3*p**3 + 0 - 8*p**2 + 0*p**6. What is the derivative of g(l) wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111021202120 (base 3) to base 12.\nAnswer: 107429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h + 1. Let z be b(1). Let y(q) = 0*q - 1 + 3*q + 3 - q**2 - 4*q. Let u be y(z). Solve u*j - 8 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l + 3. Let y be d(4). Let q(h) = 0 + 4 + 2*h + 3 - 3*h. Is 16 a factor of q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -10*o - 12. Solve 2*t - 15 = -5*l + 3, 5*l = -o*t + 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -42*r + 3. Let q(m) = -325*m + 20. Give 15*p(y) - 2*q(y).\nAnswer: 20*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -8*a**2 - 212*a + 108 = 0.\nAnswer: -27, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448133 and 640190?\nAnswer: 4481330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 22 + 1 - 2*l**2 - 13 to z*l**2 + g*l + b and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1116 and 16969896.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150083\/12 + 12496. Let y = -2\/1567 + 133203\/6268. Find the common denominator of i and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21276054)\/(-18) - (-8)\/(48\/(-18)). Round a to the nearest 10000.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 0*g)*(0*g + g + g) - 2*g**2 - 2*g**2 + 2*g**2 + (3*g - 57 + 57)*((-3 + 2*g + 3)*(-1 + 3 + 0) + 51*g + 114 - 114).\nAnswer: 161*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6) + (11 - 17 - -11)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1106\/29 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3209*g - 61036. What is a(19)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + 0 + sqrt(832) + (sqrt(832) - (2 + sqrt(832) + sqrt(832) + 1)) + -1))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8176756 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -3.1. Let y = 3.5 - r. Let s = 3 + -2.9. What is the nearest to s in 0, -2, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -168?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + 48*n - 57. Let r(w) = 0 - w**2 - 12 - 2 + 12*w. Let p(f) = 9*r(f) - 2*v(f). What is o in p(o) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 14094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, 1, 886, -488?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -366950.838 plus 7489?\nAnswer: -359461.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 - 7*b + 106)*(-12 + 2*b**3 + 12).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 488, 444, 366, 254, 108, -72?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*s - 527*s + 310*s - 464 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**7\/56 + s**6\/80 - 3*s**5\/80 - s**4\/32 + 24*s - 93. Let n(m) be the first derivative of i(m). Let n(x) = 0. What is x?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1430025 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/6*(-354)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -50. Suppose -28 = 3*h - 88. Let p = 8 + h. What is the least common multiple of p and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 263 - i**2 + 252 - 7*i**2.\nAnswer: -8*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11971*x - 10919*x - 30*x.\nAnswer: -22920*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 0*a - 2890. Do 866\/3 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4419, 4427, 4433, 4437, 4439, 4439, 4437?\nAnswer: 4433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*a, -5*a - 4*q = -8*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -32 - (-5 + 10 - (14 + (-29 - -14)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*((-6)\/4)\/3. Is t*(-4)\/(8\/19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 3*c + 0*c - 1 + (-3*c + 6*c - 2*c)*(-2 - 1 + 2) in the form g + r*c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 4\/3, -182?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 10294.06ng?\nAnswer: 0.01029406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 128 + 76 - 54)*(-17*t + 32*t - 575 + 578) to c + x*t and give x.\nAnswer: 2190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6438496, -6438600, -6438884, -6439438, -6440352?\n\"Answer: -15*h**3 + h - 6438482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/2)\/l)\/(l\/((l\/(l\/l**(-2\/15)))\/l))*(l**1)**(-23)*(l*l**(1\/2))**(-3)*l**1\/l*l\/l**(2\/3) assuming l is positive.\nAnswer: l**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. What is s(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3620*j - 32433 - 68927 = 0 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t - 1. Let u be g(-1). Let q be ((-3)\/(-2))\/(6\/8). Let b be 2\/q + 6\/(-3) - 3. Put u, b, -1 in increasing order.\nAnswer: u, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 88 = -8. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37253 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.66 and 8.\nAnswer: 189.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45886 - 97857490?\nAnswer: -97811604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Let m be j + 2 + (-184)\/(-3). Let a = m + -170\/3. Find the common denominator of 5\/7 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*f**3 + 2*f - 38*f**3 - 2*f**2 - 2*f**4 - 38*f**3 + 117*f**3 - 3 to the form u*f**4 + c + g*f + w*f**2 + i*f**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 26 = -5*k - 5*q, 3*k + q - 5 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145402776 divided by 296136.\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 156*o - 232. Let z be a(3). Calculate the highest common divisor of z and 1239.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5480780 to the power of 1\/2, to the nearest integer?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1106, -2395, -3864, -5513, -7342?\n\"Answer: -90*d**2 - 1019*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkko.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -456017\nAnswer: -1\/456017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 25. Suppose -40 = -3*i - o*i. Suppose -2 = -l - 0. What is the lowest common multiple of i and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 2*a**2 - 5002 + 980 - 318 to r + m*a + d*a**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from {d: 2, p: 1, x: 3, w: 4, a: 4, z: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-10)\/(-2)))\/(35\/((-9450)\/(-6)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 8 = -80 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5837577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2125, 4245, 6363, 8479?\nAnswer: 10593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043 minus 0.3895?\nAnswer: -1043.3895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -258 or -5.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b + 17. Let g be u(-5). Let k(q) = -q**2 - 24*q + 2. Let y be k(g). What is the greatest common divisor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1167)\/129 + -39 + (-768)\/(-16)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {x: 3, k: 1, d: 5, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q - 4 = 0. Suppose 0*g - 8 = -4*k - g, 5*k = 2*g - 3. Sort k, -16, 4, q.\nAnswer: -16, q, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.5 + -10. Let d = 39898.25 - 39895.750011. Let t = m - d. Round t to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -59. Calculate the highest common factor of 45 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 49*n**3 - 45*n**3 + 0*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1317, 1313, 1317, 1329?\n\"Answer: 4*w**2 - 16*w + 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 - 59*k - 5 - 65*k + 157*k. Let v be p(-11). Is 1.4 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354*b + 426*b = 0. Let z = 1 + 2. Solve z*k + 5*c - 10 = b, -2*k + 23 = 2*k - 3*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42003504 divided by 3?\nAnswer: 14001168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9606 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -4, 3, -3, -570?\nAnswer: -570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Is (0 - m)*(3 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (11 - -4) + 3 + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*x + 5. Suppose -2*v = -x*f + 2*v + 4, -3*f - 2*v + 8 = 0. Suppose -2*j + 113 = -l - 2*l, -10 = -f*l. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462054 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794200 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 0. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -13 - -8*(-9)\/108*-6. Sort -5, z, 1, 12 in decreasing order.\nAnswer: 12, 1, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 165 = -5*m, -3*y - 51 = 16*m - 17*m. What is the highest common divisor of 2394 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 - 15 + 16 - 7 + 3*u to o*u + w*u**2 + g and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13986 + -209776\/15. Calculate the common denominator of h and 22\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-1))\/t*t)**(3\/2)\/(t\/((t**(-3\/5)\/t)\/t))**1 assuming t is positive.\nAnswer: t**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 51, -545, 0, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + 825 - -6 - -4.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w)*(2*w + w - w) + 8*w**2 - w + w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (-7)\/3)*3. Suppose -3*d + x*d - 19 = -p, 0 = -3*p - d + 47. Calculate the remainder when 24 is divided by -16*(2 - p\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/69 and ((-13)\/(4784\/(-224)))\/(-54)?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.88 - -11.9. Let i = 0.02 - n. Let x = 8824 + -8827. Which is the biggest value? (a) -3\/7 (b) i (c) 3\/8 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 1)*(-126*q**2 - 37*q + 37*q) in the form x*q**2 + f + n*q and give x.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 11, p: 1, m: 4}. What is prob of picking 1 p, 1 d, and 2 m?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116554 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 41. Let l(m) = m**2 - 3*m - 21. Let n be l(r). Let i(x) = 13*x**2 + n*x + 38*x - 71*x. Let d(w) = -w**2. Determine d(i(h)).\nAnswer: -169*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 12853*g.\nAnswer: -12853*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 3*t + 4. Let d be w(-3). Is (-388)\/d + 6\/21 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15200881, 30401764, 45602647, 60803530, 76004413?\n\"Answer: 15200883*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w**3 - w**2 - 87*w + 707. What are the prime factors of p(11)?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 11*p + 5. Let z = -2454 - -2462. Calculate f(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(3 - 3 + 2*h) + (17 + 3 - 10)*(-1 + 1 - 9*h))*(-3*h - 2*h + h)*(-3 + 2 - 1)*(5 - 2 - 1).\nAnswer: -1504*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a5538 + -16?\nAnswer: 1a5522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1584)*1 - sqrt(1584))*6*6 - (sqrt(396)*-2*4 + 4))**2.\nAnswer: -384*sqrt(11) + 25364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -49*t + 7. Let i(b) = 24*b - 4. Let n(k) = -5*i(k) - 3*v(k). Let s be n(1). Solve -1 = -5*f - s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223606, 447195, 670786, 894379, 1117974, 1341571, 1565170?\nAnswer: 1788771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Suppose 2*x - 1 = l, -3*l = -5*x - 2*l + 7. Let y(f) = -2 + 2*f**2 + 2 - 4*f**x. Determine d(y(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000015882 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/10)\/(10*(-40)\/11200*16\/(-10)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 337 - 343 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4 + 792*v**3 + 96381*v**2 + 189570*v = 0. What is v?\nAnswer: -89, -2, 0, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.299761ml in litres?\nAnswer: 0.002299761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let x(c) = -c**2 - c. Let j(u) be the second derivative of -u**5\/20 + u**4\/12 + u**3\/2 + u**2\/2 - 5*u. Let a(w) = f*j(w) + 5*x(w). What is a(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -21. Suppose k*z + z = 0. Suppose -j - 3*j + 64 = z. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 798 = -11*j. What is the tens digit of ((-241)\/(-4) - 1)\/(j\/(-1216))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 14\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -16*f - 139. Let l be (-78)\/f + 28\/(-7). Let u be (-291)\/(-9) - (-2)\/3. What is the greatest common divisor of u and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 + 4 + -3 + -4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6365 (base 12) in base 5?\nAnswer: -322002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29144 divided by 2\nAnswer: 14572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 3*b + 2. Let r(c) = -3*c**2 - 5*c + 4. Suppose 15*p - 13*p = 4. Let l(z) = p*r(z) - 5*d(z). Calculate l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**4\/8 - 3*a**3\/2 - 11*a**2\/2 + 2. Let z(g) be the second derivative of x(g). Does 3 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -78. Suppose 0 = x*f + 72 - 82. Let m(i) = -i**2 + 10. Let g be m(0). Solve -f*u = -0*u - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91406 + 52471. Let z = 54894 + t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/6 + (1 - 31). Let g be z\/(-6)*21\/14. Suppose -g*b + 8*b = 3. Solve w - b*f = -9, -2*w - 2 = -f + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**3 + 82*t**2 + 6*t + 13. What is the remainder when j(9) is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2 (b) 226 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 2899976?\nAnswer: 104399136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let d(i) = 2*i + 618. Let a(u) = 2*u + 685. Let x(m) = 2*a(m) - 3*d(m). What is o(x(s))?\nAnswer: -4*s - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.0263 + 0.0263. Put -1\/17, 0.3, 2, i in decreasing order.\nAnswer: 2, 0.3, -1\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 12*p - 7112. List the prime factors of p.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnthxfhnxytyyh. Give prob of picking 2 x.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -154, 0 in decreasing order.\nAnswer: 0, -8, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 312 - 295.1. Let d = 17.9 - w. Put -12, -2\/7, d, 5 in ascending order.\nAnswer: -12, -2\/7, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 88, 177, 266?\n\"Answer: 89*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12998 + 3989 = -39*g. Calculate the highest common factor of 84 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 45 + 4*d**2 + 11 - 69*d**2 + 16.\nAnswer: -65*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gae when three letters picked without replacement from agee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63\/815 or 0?\nAnswer: 63\/815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 87850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + l + 17. Let o(x) = -2*x**3 - 6*x**2 - 8*x - 10. Let u(j) = -f(j) - o(j). What is u(4)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 6*m - 10. Let w = m - -1. Suppose h = w*h - 95. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2, 0.7385 in descending order.\nAnswer: 0.7385, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*f*g*u**2 - 824*f*g*u - 106*f*u**3 - 2*g*u**3 - g*u - g - 2*u wrt u.\nAnswer: -282*f*g - 636*f*u - 12*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4 = -4*s, 94*s + 42250*w = 42255*w + 94 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-851721)\/(-585) - 2\/(-30).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*l*v**3 + 28*l*v**2 - 8*l*v - 1106231*v**3 + 5773*v**2 - 2 wrt v?\nAnswer: -54*l - 6637386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - y - 33 = 0, -5*g - y = -30. Calculate the greatest common factor of g and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154193440.\nAnswer: 2, 5, 963709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c - 3407 = 0, 2*f - 3570 = 5*c - 157. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1420 and 12780?\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 448\/256*(-2)\/(-7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2473 - 2459.57. Let u = -12.8 + o. Let z = u - 4.63. Put z, 1, 4\/7 in decreasing order.\nAnswer: 1, 4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -148504098*m. Let a(b) = b. Determine a(q(r)).\nAnswer: -148504098*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 2*i**2 + i + i**2)*(3 - 2 - 4).\nAnswer: -12*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1872) - (sqrt(1872) + 1))*-2)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z**2 + 13*z + 29. Calculate p(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 26 = -5*y, -5*h + 2*y + 22 = 0. Suppose -5*b + h*b - 163 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/15)*(h*h**3*h)\/h*h)\/(((h**(3\/5)*h*h)\/h*h)\/((h\/((h*h**0\/h*h)\/h))\/h*h))*(h**(1\/4))**(-47)*(h*h**2\/h)\/(h\/(h*h**(2\/11)*h)) assuming h is positive.\nAnswer: h**(-3323\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(108)*2 - sqrt(108) - sqrt(108))*-2)**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440)\/(-22) - (-40 + 90).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -3. Let o = -8 + 13. What are the prime factors of n\/o - (-37)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from {g: 13, t: 2, b: 5}?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/54 - 2\/9. Which is smaller: w or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*h + 32, v - 25 = -4*h + 27. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13215, 52657, 118357, 210291, 328435, 472765, 643257?\nAnswer: 839887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i + 182. Calculate w(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from leeleeeefppfeelefef.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-1)\/(-6)). Let n be ((-3)\/j)\/(-2*(-1)\/4). Let b be n + (0 - -25) - 2. What is the highest common divisor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186 * -1793.\nAnswer: -333498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 23. Let f(n) = 21*n. Give f(k(x)).\nAnswer: 42*x**2 + 483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, d: 6}. Give prob of sequence ddd.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.42 - -0.02. What is the biggest value in 1\/8, 4\/5, w?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n - 6. Let u(i) = 3*i + 8*i - 10*i. Let p(g) = -t(g) - 6*u(g). What is p(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - z + 1. Let w(j) = 3*j**2 - 8*j + 8. Let l(c) = 2*o(c) - w(c). Let h be l(5). Is (-58 - h)*25\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**4 - 4*k**4 - 2*k**4 + (-2 - 2 + 5)*(0*k**4 + 2*k**4 - 7*k**4) + (-7 - 1 + 4)*(k**3 + 2*k - 2*k)*(-3*k + 2*k + 3*k).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 977.1 - 977. Let y = -10 - -6. Let l = 5 + y. Which is the nearest to l? (a) p (b) 0.03 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231 + -106. What is the remainder when 1871 is divided by p?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034121 is divided by 2150?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 2, z: 1}. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/44220 and 85\/1608?\nAnswer: 88440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18630.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 18*b**2 - 6*b - 30. Let w(q) = -5*q**2 + 2*q + 8. Let c(z) = 6*n(z) + 22*w(z). Let p(y) = -y**2 + 5. Let k be p(0). Give c(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632200688 to the nearest integer?\nAnswer: 25144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23437*h - 4*k = -23443*h + 94, 42 = 3*h + 3*k for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3205)\/3846 + (2 + (-10)\/6)\/(14\/497)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2383 - -5090. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -291 + 285.92. Let p = 0.07 + -0.15. Let c = p - k. Put c, 3, -5 in descending order.\nAnswer: c, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198627.8 times 61\nAnswer: 12116295.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -283*j + 8. Let u(t) = -495*t + 14. Let w(b) = 7*h(b) - 4*u(b). Let z(l) = 14309*l. Determine w(z(o)).\nAnswer: -14309*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:04 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -2.4061?\nAnswer: 8.4061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(((y\/(y*(y*y**(1\/28))\/y)*y)\/y*y)\/y)\/y)\/(y\/(((y**(7\/3)\/y)\/y)\/y)))**(-1\/67) assuming y is positive.\nAnswer: y**(143\/5628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lozloxv. Give prob of picking 2 o, 1 z, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-30) + 2\/(-3))*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:26 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -31. Let g(p) = -24*p - 146. Let z be g(c). Suppose -3*u - 3 = 6. Sort 5, z, 0, u in descending order.\nAnswer: 5, 0, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003531812 to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3102535.\nAnswer: 5, 620507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -271, -443, -615?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2017*a**2 + 2020*a**2 - 6049*a**2 + a**4 + 2*a + 2032*a**2 + 3*a**3 as o + s*a**4 + d*a + n*a**2 + p*a**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((320\/(-30))\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-264))\/(8\/(-16)))\/(-7)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -138. Find the third derivative of -15*o**2 + o**4 + 3*o - 13*o**3 - h*o**2 + 12*o**2 wrt o.\nAnswer: 24*o - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(30)\/sqrt(2))\/sqrt(5) + 5.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/30*(-108)\/(-270)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6780291 to 3 dps.\nAnswer: 1.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2. Let n be l(1). Let t = -14 - -17. Suppose -f + 0*f = -2*v, -t*f - 2*v + 8 = 0. Solve f*h + n = -5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:51 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 5 = -8*a. Suppose -793 = -3*q - 3*k + a*k, 4*q - 1048 = -2*k. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*g - 22, 4*g = -t - 3*t + 24. Solve -n = n + g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*l - 5*y, -l + 3 = -y - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 430 = -110. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4.85. Let d = 1.41 + -1.21. Is h less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8502988?\nAnswer: 2, 13, 101, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 - 381*b**2 + 2*b + 898*b**2 - 2*b - 73*b**2 - 444*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + z - 9. Let i(j) = -4*j**3 + 2*j**2 + 3*j - 87. Let f(o) = 2*d(o) - i(o). What is f(0)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, 2*q + 0*q + 34 = 4*n. Let z = 26\/3 + q. Is 0.8 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + -17. Let g be 19\/s + (-4)\/(-8). Which is the second biggest value? (a) g (b) -0.1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 533427 or 533429?\nAnswer: 533429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + (84 - 7) - (3 + (-12 - 3) + 5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -127*r - 44 wrt r?\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 5, 1\/2, -2, 0.1, 1 in ascending order.\nAnswer: -2, -0.11, 0.1, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -23563.771.\nAnswer: -9425.5084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 3*t + 88 - 133 = y - 2*y, 28*t - 920 = -39*y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284931 + 0.4?\nAnswer: -1284930.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 329?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**9\/1512 + 13*z**8\/840 + 4*z**7\/35 + z**6\/5 - 13*z**3\/6 - 11*z**2. Let v(d) be the first derivative of g(d). Factor v(i).\nAnswer: 2*i**2*(i + 1)*(i + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-20))\/(6\/30). Is p less than -1\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260719 > 2260718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258*m**3*w - 90*m**2*o*w + 3*m**2*w - 102*o*w + o - 69*w wrt m?\nAnswer: 774*m**2*w - 180*m*o*w + 6*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*b**3*m**2*r - 155*b**3*m**2 - 2*b*m**3 - 67*m**3*r wrt r.\nAnswer: -9*b**3*m**2 - 67*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -123 (b) 27 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 d when three letters picked without replacement from {d: 2, t: 2, w: 3, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 5*j + 5. Let q be 16\/7 - (-8)\/(-28). Let t(z) = z**3 + 2*z - 2. Let k be (-39)\/(-3) - (1 + 1). Let h = 16 - k. Give h*t(w) + q*d(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in -1, 3, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5467040581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9. Let o be ((-16)\/6 - -1) + x\/12. What are the prime factors of (4*o\/12)\/((-2)\/279)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/10*(-15)\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/3*3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165690*s**2 - 25*s - 58 wrt s.\nAnswer: 331380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 1730*y + 97 = 1734*y, -11*k = -6*y + 8*y - 57 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -18. Suppose -13 = -v*r + r. Solve 2*p - 3 = m, r = 5*p - m + 4*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*f**2 + 182*f**2 + 292*f**2 in the form r*f + n + d*f**2 and give d.\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -11 (b) 4 (c) -295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 times 1\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -225 - -352. What are the prime factors of b?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/287 in 4, -0.7, 1, -8?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 696357904 a multiple of 1441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roooooooorroorooooor. What is prob of picking 1 o and 2 r?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*n**3 + 4*n**2 - 8 + n**2 - n - 7*n**4 - 111*n**3 - 5*n**2 to q*n**3 + u*n**4 + b + t*n + z*n**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930209 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + 1 + sqrt(325) + 4 + sqrt(325) + (4*sqrt(468)*-4)**2 + 5.\nAnswer: 10*sqrt(13) + 119817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133844796, 267689589, 401534382, 535379175, 669223968?\nAnswer: 803068761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -b1?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 21*v**3 - 96*v**2 + 38*v + 51. What is y(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.1. Let x = -189.01 + 185. Let f = 0.01 + x. What is the closest to -0.1 in -0.3, l, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l - 6. Let m(b) = -1. Let w(j) = a(j) + 5*m(j). Is 9 a factor of w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 423*p**2. Let y(g) = -3*g**2. Determine a(y(s)).\nAnswer: 3807*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -2 (b) -0.4 (c) -8921.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*((-3)\/2)\/(-3). Let t be ((-8)\/10)\/(4\/(-70)). Calculate the highest common divisor of p and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -30 + (-21 - -5) + 3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y + 28. Give w(17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + u = -0*h, -12 = 2*h - u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49968 and 108?\nAnswer: 149904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313 + 83. Let i = q + -380. Solve 10 = -c - 3*h, -5*c + 3*h - i = -2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79582, -79554, -79526?\nAnswer: -79498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15475067 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 283710.\nAnswer: 1134840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-4)*(-157 - (-152)\/8). What is the greatest common divisor of 1311 and y?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.000044 - -10. Round g to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1066 and 130.\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -117284?\nAnswer: -117284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 = 3. Let h(p) = p**2 - p - 1. Let n(x) = 2*x**2 - 3*x - 3. Let r(y) = 5*h(y) - 3*n(y). Give r(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = 10*f - 9*f. Suppose 4*c + 258 = 2*d, 0*d - 5*d + 5*c = -f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/12272 and 81\/43234256?\nAnswer: 43234256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c - 4*c)*(-5 + 2*c**4 + 5) + (-9*c + 0*c + 2 - 29*c)*(-2*c**4 + c**4 - c**4).\nAnswer: 72*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 265 and -251.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (163 - 202) + 42 + (1 - -36)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**2\/2 + 10*j - 2. Let s be h(8). What is the second derivative of 4*t**s - 2*t**2 - 3*t**2 - 2*t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5563 - 5558. What is the second smallest value in 1\/14, 1\/5, 0.5, -1\/17, w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 82 - 7 = 3*o, -4*o + 20 = 0. What is the remainder when 15 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4266, 4222, 4148, 4044?\nAnswer: 3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*j - 12*j. Which is greater: 1\/8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 - 2*y**4 - y**4 + (3*y**4 - 2 + 2)*(0 - 1 - 7) + 0*y**4 - 4*y**4 + 5*y**4 to r + z*y**2 + a*y + g*y**3 + d*y**4 and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 28 = -0*h + 2*f, -5*h + 3*f + 168 = 0. Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q = 88. Suppose z - c + 0*c - q = 0, -5*z = -3*c - 102. Suppose -d - 21 = -2*d - 3*a, -d + z = 2*a. 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: Sort 1\/10659, -12\/11, -0.1 in increasing order.\nAnswer: -12\/11, -0.1, 1\/10659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 156 = 4*h, 0*h - 5*h + 2*h - 187 = 7*c + 18 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15555 divided by -5.\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 1625880?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6\/5 (b) -21.7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 5. Let o be z(10). Let d(y) = y**2 - 10*y - 5. Let a be d(11). Solve o = -5*t, -4*q = -2*t + 4 + a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1006, 1004, 1000, 994, 986?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/85)\/(30\/(-1200)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2094805, -2094808, -2094813, -2094820, -2094829, -2094840, -2094853?\nAnswer: -2094868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -481 - -6?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/(5\/15)*192\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + ((sqrt(119) - -2*sqrt(119)) + sqrt(119) + sqrt(119))*3)\/sqrt(7).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 33 - 28 - -34.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srsv when four letters picked without replacement from {v: 1, s: 3, r: 2, j: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2391*p - 2*p**3 + 2389*p + p**3 in the form r + n*p + v*p**2 + m*p**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.1, -1\/90, 4 in ascending order.\nAnswer: -1\/90, -0.01, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2 = -2*x, -5*j - 4*x - 5 = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:16 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-16) - (-27)\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -3 - (-9 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 70.357632043 - 957\nAnswer: -886.642367957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 83*t - 7. Let y(j) = 41*j - 4. Determine -6*k(o) + 11*y(o).\nAnswer: -47*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 11:02 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11534?\nAnswer: 2, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/49883 and 56\/648479?\nAnswer: 648479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 12*r**2 - 19*r + 5. Suppose 0 = 2*a + 3 - 15. Let y be n(a). Suppose -10*i - y + 1283 = 0. Calculate the highest common divisor of i and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -812 (base 11) to base 4\nAnswer: -33111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/119 - 4\/(-34). Put -15, m, 5 in increasing order.\nAnswer: -15, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y + 5. Suppose 15*r - 17*r - 8*r - 28*r = 0. Give h(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let f(b) be the third derivative of 0*b + 0 + 4*b**2 + 0*b**4 - 1\/20*b**5 + 0*b**3. Calculate f(a(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + -2 + 11 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, v: 5, q: 5}. Give prob of picking 2 p and 2 v.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l**3 - l**2 - 25*l - 51. Let o(x) = 27*x**3 - 5*x**2 - 48*x - 102. Let a(s) = 5*i(s) - 3*o(s). Calculate a(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7821639 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -499 + 499.02. Which is the third smallest value? (a) 0.4 (b) -1 (c) k (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3 - 2224*r**2 - 1112784*r + 140909184 = 0?\nAnswer: -1164, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -284*10\/(-20)*1 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 232*x**2 - 3364*x.\nAnswer: -4*x*(x + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -1\/4 (b) 2 (c) -0.06 (d) -0.07 (e) -5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -7\/2*d**3 + 1\/5*d**5 + 0*d**4 - 23 - 34*d**2 - d. Differentiate k(o) wrt o.\nAnswer: 12*o**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5634654 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 32\/(-4) + 0 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937\/4 at least as big as 1484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14097844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:51 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**2 - 1\/7*r + 1\/7*r**3 + 0.\nAnswer: r*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*d - 19 + 104, -5*k - 3*d + 60 = 0. Let p(q) = -q**2 + 11*q - 2. Let w be p(9). Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*9\/2)\/(-159*80\/(-16960))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**14\/a)\/a**(10\/9)*a**35\/(((((a\/(a*a**(24\/7)*a)*a*a)\/a*a)\/a)\/a*a)\/a))**(-26) assuming a is positive.\nAnswer: a**(-84058\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 256436317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*y + 11*y + 282000. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*n + 60 = 0, 54*n = -4*k + 57*n - 69 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -16 (c) -7 (d) -0.226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f - 1. Let g(n) = -17*n + 2. Let q be 20\/4 - -3 - 4. Suppose 3*c + c + 3*b = 31, -q*c = -2*b - 6. Let l be 81\/6 - 2\/c. Give l*w(z) + 6*g(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/9*b**3 + 8\/9*b**2 + 8\/3*b = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1419537*g - 1419516*g + 2839326*g.\nAnswer: 273*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 6*h - 18, 9 = m - 33*h + 36*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2732220313 + 18*s**3 - 2732220313.\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*z - 37 - 852 = 275 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005.443 rounded to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 826 and 15104?\nAnswer: 105728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -20124333?\nAnswer: 20124324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u*u**0*u)\/u)**(-17\/3) assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.27 and -1239?\nAnswer: 1238.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/22 - 2\/(-11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:45 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.214? (a) -2\/7 (b) -3\/4 (c) -4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 44\/12)\/((350\/12)\/(-25))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1353*r**4 + r + 319.\nAnswer: 16236*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**(-40)\/(r**(-2\/3))**44)**25 assuming r is positive.\nAnswer: r**(700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-9)\/42*(-14)\/(-16).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/2))**(1\/6))**(-49) assuming w is positive.\nAnswer: w**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3721920 and -109\/1920.\nAnswer: 7443840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -806 or -810?\nAnswer: -806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*p - 71*p - 7180 = -5*k, 0 = 3*k + 5*p - 4302. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**3 - 12*n**2 + 18*n - 16. Let k(w) = 17*w**3 + 35*w**2 - 51*w + 47. Let c(y) = -3*k(y) - 10*o(y). Give c(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1060782230 and -1007.\nAnswer: -1060783237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, 59, 164, 269, 374, 479?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 74 - 10) + 47.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**3 + 3*o**3 - 2*o**3)*(-6 + 1 + 1)*(0 + 7 + 8)*(-2 + 5 - 2) to h*o**3 + q*o**2 + r + n*o and give h.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127841 + 73159. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 3, 6, -1 in ascending order.\nAnswer: -1, 3, 6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 5 - (7 + -10 + 7 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.31 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 576291806 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.56 + 4.56. What is the biggest value in 2\/3, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - 120529?\nAnswer: -120550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 + 2919*g**3 + 291492*g**2 + 7753536*g + 7464960 = 0. What is g?\nAnswer: -864, -60, -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 10*a**2 + a**3 + 86 - a - 55 - 11*a - 2*a**3. Let o be m(6). Solve 6*y - y = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/10*8\/(-6). Let u be 218 - (0\/4 - y). Let w(b) = -b**2 - 13*b - 20. Let l be w(-8). Calculate the highest common divisor of u and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -2*d, 3*d = -2*u + d. Sort -1, -5, -4, u in descending order.\nAnswer: u, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 23*z**2 - 692*z + 480. Calculate t(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = -3*r - 10, 4*p - 3*r = 2. Let z = p - -10. Calculate the remainder when 28 is divided by 88\/z - (-2)\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268007?\nAnswer: 83, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (42\/105)\/(8\/(-10))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 12 + 96. Suppose -5*x - 5*w = -0*w - 50, 0 = 3*x - 3*w - f. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -243*h + 1 + 3 + 74*h + 81*h + 89*h. Let n = -13 + 6. Give v(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 17044 = 8*s + 16982, 3*q - 42 = -4*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021179 rounded to four decimal places?\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 1 a when three letters picked without replacement from {x: 11, a: 1, y: 2, g: 3, f: 1, h: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1147, 23, 5, 3.\nAnswer: 3, 5, 23, 1147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3764454?\nAnswer: 2, 3, 31, 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -593, -595, -597, -599, -601?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-40) - (6\/(-35))\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + sqrt(240)*-2*4 + sqrt(240) - -4*1*sqrt(240))\/((sqrt(60) + sqrt(660)\/sqrt(176))\/(6*sqrt(5)*2)))**2.\nAnswer: 36864\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 - 10 = -5*k. Let y = -21 + k. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2772725\/616 + -19143\/88. Let t = -4279 + w. What is the common denominator of -29\/4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53691 - 27*d**3 - 53691.\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 divided by 891156?\nAnswer: 227\/891156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*k + 47*k + 53*k = 146*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307704 is divided by 34115.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/10)*p)\/p*p*p*(p*p\/(p*p**(-10)\/p)*p)\/p)**8 assuming p is positive.\nAnswer: p**(556\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 674 - 368. Let n be z\/39 - (-18)\/117. Solve 3*w + d = 5*w - n, 4*d = -3*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p - 5. Let n(j) = -7*j - 2. Let h(g) = -5*n(g) + 2*s(g). Let w(m) be the second derivative of m**4\/6 + 2*m + 2. Give h(w(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1624.6 (b) 2 (c) -0.1 (d) 24 (e) -4\/3 (f) -2 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 8, -75, -2005?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Let g = 5.5 - y. Suppose -3*d - 3*a = -12, 4 = a + 2. Is d >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a**3\/7 + 51*a**2 - 26631*a\/7 - 49005\/7 = 0. Calculate a.\nAnswer: -55, -9\/5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*b + 715, -4*s + 4*b = -381 - 331. Let d = -61 + s. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 869364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r + 1. Suppose -2*a = 4, r*n - a = -0*n - 778. Let p = 108 + n. Round p to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*w - 31, 3*m + 3*w - 2*w = 40. Let d be 50\/60 - 39*(-2)\/36. Solve m = 5*p - 12, 30 = 5*u + d*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: c988 (base 15) to base 8\nAnswer: 123235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**2 + 5166*t - 2223963 = 0.\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + 365578.\nAnswer: 365633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17624.\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0 - 1\/168*c**8 - 1\/30*c**5 - 2\/3*c**4 + 0*c + 1\/105*c**7 + 1\/12*c**6 - 4\/3*c**3 + 5*c**2. Find v, given that h(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + 20\/(-12)*-317. Find d such that -r*d**2 - 63 - 276*d - 85 + 112 = 0.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602045, -601911, -601777, -601643, -601509?\nAnswer: -601375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b + 1\/4*b**4 + 0*b**2 + 0*b**3 + 0. Let d(j) = 3*j**2. Calculate x(d(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 36706ab?\nAnswer: 36706a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 436\/(-462) - 2\/3 - (90\/(-495) + 0)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.98 - 0.02. Let k = 15.105 - 11.105. What is the third biggest value in l, -7.7, k?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 21 - 29 - (55 + -6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 9*a + 52 + 30 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/5 - 42*y**3\/5 + 21*y**2 - 66*y\/5.\nAnswer: 3*y*(y - 11)*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 74219335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -123123 (base 9) in base 2?\nAnswer: -10010001011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83822 - -5?\nAnswer: -83817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - (sqrt(112)\/sqrt(4) - sqrt(7)) - (sqrt(21)\/sqrt(3) + 2)) + -5*(sqrt(252) + 1).\nAnswer: -31*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5*i\/i**(1\/23))**(-2\/113)*i**(-6)\/i**(-2\/3)*i**(-1\/5)*i*i\/i**(-1\/11) assuming i is positive.\nAnswer: i**(-1521442\/428835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1)\/(2 + -3). Let q be -3 - -2 - (d + -1). Suppose 597*s + 3360 - 992 - 11920 = 0. Sort q, 0, s in descending order.\nAnswer: s, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*h - 353 + 236, -6*h = 5*l - 143 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m + 2. Let x be k(-2). Suppose 4*i = -x*q + 112, -3*i = -4*q + 18 - 137. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-6945\nAnswer: -6949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 1\/2, 32, 1355, -17\/3 in decreasing order.\nAnswer: 1355, 32, 1\/2, -0.04, -17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 3:06 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 16938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z**(-2\/7))*z)\/z)**(21\/5)\/(z*((z*z\/(z\/(z**(-1\/2)\/z)))\/z)\/z*z**(1\/12)*z))\/((z**(-1\/5))**(-16)\/(z\/z**(-1))**(4\/15)) assuming z is positive.\nAnswer: z**(63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:09 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4 - 9*t**3 + 25*t**2 - 27*t + 10 = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -8*w - 9 + 52, -2*i + 5*w = 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378, 248, 1930, 5196, 10574, 18592, 29778, 44660?\nAnswer: 63766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s\/(s*s\/((s\/s**(-2\/17))\/s)*s)*s)\/s)\/s)\/s)\/s*s)\/(s\/(s\/(s\/s**(-7\/6)))))\/((s\/s**(-2\/21))\/s**10) assuming s is positive.\nAnswer: s**(2039\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (-9 + -25 - 0) + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1989, 3053, 4101, 5127, 6125?\n\"Answer: -h**3 - 2*h**2 + 1077*h + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, l: 1, k: 2, e: 2, x: 1, j: 2}. What is prob of sequence lepe?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4129 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1646 + 5314. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 + 184*u + 722. Give s(-4).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 + 5 = k, -7 = 4*k - 5*p. Suppose 0 = -z - k, 581 = -9*c + 12*c - 4*z. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1558*n**2 + 9321*n + 31. Determine f(6).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*n = -f, 4*n + 12 = 0. Suppose 5*i + f*t = 1415, -2*i + 3*i = t + 283. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -163, -662, -1495, -2662, -4163, -5998, -8167?\n\"Answer: -167*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150591768 is divided by 766?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 5. Let d = 4.1 + y. Let u = d + 0.3. Sort 3, u, -0.1.\nAnswer: -0.1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + k + (-k + 2*k + k)*(1 + 5 - 5) - 1 + 1 - k + (4*k - 7*k + 2*k)*(0 + 0 - 5 - 4 + 4 - 1 + (4 - 6 + 3)*(1 + 2 - 2)).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10510514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x + 8. Let f be (-20)\/x*(-8 - -4). Suppose 3*c = 4*o - 29, -3*c = 14 - f. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 208 = -20*l. Calculate the highest common divisor of l and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0 + 0)*(3*r**2 - 2*r**2 - 2*r**2)*(2 - 3 + 2)*(3 + 7 + 1).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -3*g + 60, 1575*z + 40 = 1574*z + 3*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 16*v + 126. Calculate the greatest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssataaasaaatsasat. What is prob of picking 1 a, 1 t, and 1 s?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 805 + -794. Let a(j) = -j + 2. Let w(h) = -3*h + 6. Let v(z) = 11*a(z) - 4*w(z). Let r(k) = 4*k - 10. Determine n*v(o) - 2*r(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2653*-1616\nAnswer: -4287248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3335 = 3*r, -4*r - 5*q + 3704 + 751 = 0. Let x = r - 222. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -26*j**2. Let r = -903 + 1299. Let g(a) = 396 - r - 4*a**2. Give o(g(w)).\nAnswer: -416*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 1 = -4*f, 3*f + 5 = -235*m + 237*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -2*k + 1524. List the prime factors of k.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.060081 years to centuries.\nAnswer: 0.00060081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*b = -b + 5, 5*h - 22 = -4*b. Let w be (261010\/45 - 5) + (-6)\/27. Suppose h*x - w = 12805. Round x to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-10) - (-648)\/30 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2837205 grams in tonnes?\nAnswer: 0.0000002837205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18662 + 1739. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/22 + -31\/66. Let k = 3.1 + -3. What is the closest to k in -4, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -372 + 367. Let j = -7 + 62\/9. What is the third biggest value in g, j, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 33*b**2 - 42*b + 81. Is 27 a factor of c(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - -2 - (22 - 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1001110001001111010101?\nAnswer: -1001110001001111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 21*3\/9. Differentiate 6*r**2 + i + 3*r**2 + 0 - 3 wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 4, j: 4, d: 12}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 29*z**2 + 2. Let d(t) = -7*t**3 + 59*t**2 + 5. Let n(h) = 2*d(h) - 5*y(h). What is the third derivative of n(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 1 + 1)*(-2*w + 6*w - 2*w)*(113 - 113 + 11*w) to the form v*w**2 + c + y*w + i*w**3 and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -11. Suppose z = -2*d + 18. Solve -5*r = -d*n - 5, 4*r + 4 = 24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7954722.\nAnswer: 2, 3, 359, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 2*n + 1. Let q be s(1). Let u be (-1232)\/(-12) - 1\/q. Let k = 160 - u. Calculate the highest common divisor of k and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 - 1981644*j**2 - 1981648*j = 0. What is j?\nAnswer: -1, 0, 495412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 15*b**3 - 28*b**2 - 2*b + 4. Let t(l) = -20*l**3 + 29*l**2 + 3*l - 6. Determine -2*t(m) - 3*z(m).\nAnswer: -5*m**3 + 26*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**4\/6 - 3. Determine i, given that x(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13827 - 17546461\/1269. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15703486 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 88720\/12 + 3 + (-20)\/(-30). What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/9 + 57934*o**2\/3 - 1390562*o\/9 - 173818 = 0 for o.\nAnswer: -86909, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.870481 decades in centuries?\nAnswer: 0.0870481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1824404846 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.572 - 0.328. Let w = 80.1 - b. Let d = w - 101.2. Round d to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6*-4)\/((-4)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -65\/4. Let s = 0.3 + 0. Let q = s + -0.8. Sort t, -2, q.\nAnswer: -2, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 21 + 18)*((1 + 2 - 1)*(3 + 1 - 5) + (-2 + 0 + 0)*(1 + 3 - 2) + 3 - 1 - 3 + 1 - 4 + 2)*(-35*v - 8*v + 2*v).\nAnswer: -5904*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.95661km to meters.\nAnswer: 66956.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(4 + 3 - 5)*(-3*s - 3*s + 4*s + (-2 + 1 + 2)*(-4*s + 2*s + s) + s - 4*s + 2*s).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(16)\/sqrt(4) + sqrt(4))*-1)\/(sqrt(2) - sqrt(242)*-1 - sqrt(2))*1*-6.\nAnswer: 1 + 12*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + 2*x)*(-x**3 + x**3 + 3*x**4) + (5*x**5 - 4*x**5 + 2*x**5)*(-2 - 1 + 6).\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162)*-4 - (6*sqrt(18)*-1 + sqrt(18))**2) + -2.\nAnswer: -452 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-24)*-2)\/(366\/366).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 17, 31, 47, 65, 85?\n\"Answer: r**2 + 9*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - v. Suppose -6*f = -1 - 17. Suppose -p - f = -2. Calculate k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -5*d + 57, -31*n - 20 = 3*d. Let p = 0 - 0.2. Let h = p + 0.7. What is the closest to n in h, -5, -15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42685 and 0.4?\nAnswer: 17074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 + -11?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 19, -2\/183 in decreasing order.\nAnswer: 19, 1\/2, -2\/183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 65*x**3 - 77 + 25*x**3 + 39*x**3 - 37 + 188.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.105, 5, -13, 2, 1 in ascending order.\nAnswer: -13, 0.105, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 51 = 15*d + 3*u, 0 = 2*d - 2*u - 22 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 3, -1\/2, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n**2 + 20*n + 42. Let u be p(-13). Let h = -1331 - u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 7*l - 247 + 0*l**2 + 220 - l**2. Let k be w(-7). Which is smaller: k or 8\/13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11.3952 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, q: 8}. Give prob of picking 2 u.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -2. Let y = k + -9.9999972. Round y to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 18 = -6*i + 2*i, -3*y + 6 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/16 - 3\/16. Let r = 0.079246 - 5.079246. Put v, 1\/2, r, 0 in increasing order.\nAnswer: r, v, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-24)*3\/1. Solve 4*b = -3*a + 28, -x*a - 5*b = -2*a - 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/36*(4 - 1) - 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 99 - 52 - 44 in the form a*z + t and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29841668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/6)\/((80\/264)\/5). Let y be 216\/c - (-74)\/407. Is 11 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1398 + 28. Let v = r - 188261\/132. Let n = v + -1\/33. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -84. Let b = v - 6. Let w = 24 + b. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 bigger than -1339\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 212\/5. Let s = -46.1 - -46.13. Which is the closest to -3? (a) s (b) 0.3 (c) p (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3137 - -4690. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 37839*h + 378394. Calculate y(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10.03, -0.289 in ascending order.\nAnswer: -0.289, 5, 10.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8667, -6, 4, -1 in ascending order.\nAnswer: -8667, -6, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 144246054 take away 0.5?\nAnswer: 144246053.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 733000752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = -0. Let g(r) = -6*r + 2 - 5*r**2 - 6*r - 6*r + 20*r. Give g(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 55. Suppose -3*k + a + 82 = -139, 0 = k - 3*a - 63. Suppose 0 = -16*i + 11*i + k. What is the remainder when y is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12477710 is divided by 209?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/10 and 31\/725.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 6, c: 1, w: 4, v: 7}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = x - 4*h, 3*h = 4*x - 278 - 101. Is 84 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - n**2 - 3*n**2)*(633 + 44*n + 45*n - 124*n + 38*n).\nAnswer: -3*n**3 - 633*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 10:45 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.72 + -0.28. What is the nearest to -0.2 in o, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-17)\/((-374)\/330)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence illl when four letters picked without replacement from liiiliiiiilliililil?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238238, 237750, 236930, 235772, 234270, 232418, 230210?\nAnswer: 227640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -1517\/4 greater than -380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*j - 2 + (-j + 3*j - j)*(-1 + 4 - 5) - 16*j + 92 - 92 - 2*j - j + j + 0*j + 6*j - 2*j + (4*j - 5*j + 0*j)*(4 + 0 - 3).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 6*y = -5*p - 12, 0 = -5*y + 5*p + 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 5*r + 19. Give v(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 133211012?\nAnswer: 133211014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171911*l**3*v**2*x + 206*l**3 + 630*l**2 + 3*l*v**3*x - x wrt v.\nAnswer: -343822*l**3*v*x + 9*l*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**2 + 7*s**2 - 8*s**2 + 2*s**2 - 4*s**2 + 3*s**2 - s**2 - 2 + 2 + (-1 + 4 - 5)*(-s**2 + 1 - 1).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:04 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30.59732 times 3\nAnswer: -91.79196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -333 and -1511?\nAnswer: 503163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/84)\/((-16)\/7 - -2). Suppose -k*d - 132 = -422. What are the prime factors of d?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -3 + 14 - (2 - -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-504))\/((-375)\/(-80)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-118)\/77 - (-176)\/(-968). Is -3 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(2*((sqrt(117) - -2*sqrt(117)) + sqrt(117)) + -6*(sqrt(117) - 2*sqrt(117)))\/(sqrt(324) - (sqrt(324) + sqrt(324)*-2 + sqrt(324))*2))**2.\nAnswer: -5096\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 172040*h - 16307700.\nAnswer: -4*(h - 42915)*(h - 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*k + 22 = s, -5*k - 22 = -57 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - o + 49 + 67 = 0, 2*o = 4*j - 104. Suppose 3*f = -q + j, -4*q = 5*f - 43 + 8. Calculate the highest common divisor of 22 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (382\/5)\/(4*7\/19670)?\nAnswer: 191, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -166\/3 at least -3\/3322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -287\/632 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57286469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:35 AM?\nAnswer: 509","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -6 - (-18)\/3. Let y(w) = 5*w - 46. Let z be y(8). Put -1, k, 4, z in increasing order.\nAnswer: z, k, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 28*w. Let x(q) = 79*q - 2*q**2 + 0*q**2 - 79*q - 3*q**2. Give c(x(p)).\nAnswer: -140*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250805 and 21915?\nAnswer: 2257245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5 + 5)*(-1 - 1 + 1)*(0 + 0 - 7).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + h = 31, -3*b - h = -9 - 8. What is the highest common divisor of b and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.683 times -4?\nAnswer: -2.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903.672 seconds to microseconds.\nAnswer: 903672000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011962 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 5*k**3\/3 - 15*k + 565. Let u(f) = -6*f**2 + 10*f. Let x(c) = -2*c**2 + 3*c. Let j(q) = -3*u(q) + 10*x(q). What is j(n(h))?\nAnswer: -50*h**4 + 300*h**2 - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqwqvqtq. Give prob of picking 1 q and 1 w.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1 + 4. Let s(d) be the second derivative of -3*d**5\/20 - 5*d**4\/12 - d**3\/3 + d**2\/2 - 2*d + 9. List the prime factors of s(y).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f + v, f = 5*v + 4 + 15. Let q(s) = -s + 3. Let j be q(5). Let l be (-2)\/10*(1 + j). What is the second smallest value in l, f, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u + 18*u**2 - 27*u**2 + 8 + 10*u**2. Let y be p(-3). List the prime factors of 42\/((-1)\/(y\/4)*-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1940, 3877, 5814?\nAnswer: 7751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Suppose -5*z = t - 19, 4*z = 4*t - l*z - 4. Let i(v) = -v**3 + 6*v**2 - 5*v - 1. Calculate the remainder when 40 is divided by i(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 3. Let v(x) = -4*x - 9. Let o(d) = 3*n(d) + v(d). Let p(b) = -60*b**2. Determine p(o(l)).\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 11. Let a(p) = -1. Let u(t) = 4*a(t) + j(t). Let x(k) = -61*k - 58*k + 118*k + 1. Calculate u(n) - 6*x(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 69 * -670766\nAnswer: -46282854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1020*u**5 + 1379*u wrt u?\nAnswer: -20400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 4*m**2 + 5*m + 4. Give l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2 - 4*d + 6*d)*(0*d + d + 0*d).\nAnswer: 5*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + -67654?\nAnswer: -67627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (751119\/(-124038))\/(2\/36)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 4\/12*-3. Let s(g) = -5*g + 8. Let a(n) = -4*n + 8. Let o(v) = b*s(v) + 4*a(v). Find the first derivative of o(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 + 7 - 53*w**3 + 30 wrt w.\nAnswer: -159*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21) - 55\/140?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 + (4 - (-2 + 3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556982 + -1.5?\nAnswer: 556980.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 8*q - 2. Let w be v(-7). Let n be 6\/w - (-2)\/3. What is n rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 322. Let x be -9 + -2 + 11 + 4. Suppose -373 = -5*n - 4*y, x*n + 2*y = y + q. What is the greatest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*n - 32, -4*z + 23 = 5*n - 2*z. Suppose 5*p - 4*p - 4 = 0, w + n*p = 15. Solve -w*q = 8 - 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -146315667?\nAnswer: 146315667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(405))**2 - (0 + sqrt(405) + -2) - (-1*sqrt(405)*2*-5*4)**2.\nAnswer: -646380 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -339.1 - -339. Which is the closest to 52? (a) -2\/13 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-40)\/((a\/(a\/a**(-2\/13)))\/(a*a\/(a\/a**(-1\/3)))) assuming a is positive.\nAnswer: a**(-1528\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52306980 and 243540.\nAnswer: 470762820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*b - 109*b - 6. Suppose b*y - 162 = -5*i, -4*y - y = -5. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.4 - -59.9. Let k = y + -33.5. Sort 2\/17, 2, 4, k in descending order.\nAnswer: 4, 2, 2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 + -102. Let t(b) = 5*b**2 - 17*b + 57. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62100131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2713415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*z + 94*z + 87*z - 375*z.\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -2.5. Let i = 129 - 129.172. Let c = i - -0.242. What is the biggest value in -0.1, 3, q, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220100 - 44?\nAnswer: 220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 - -3. Let b be (-14)\/63 + (-51)\/189*-4. Sort b, w, 3\/4, 2\/3 in decreasing order.\nAnswer: b, 3\/4, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = p - 2636 - 1035, -p + 5*j + 3621 = 0. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 2, k: 1, b: 1, l: 1, i: 1}. Give prob of sequence ml.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 - 20 - 19*s + 44 + (-1 + 5 - 2)*(s + 1 - 1) + 3*s - 4*s + 2*s + 4*s + s - 6*s.\nAnswer: -17*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 95*f**3 + 45*f - 319. Does 17 divide d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2987795.9 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 + 54.67. Let q = w + -107. Let k = q + 47.2. What is k rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4 + b**3 - 10*b**2 - 4*b + 24 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let v = -2.3 + y. Suppose 0 = -x + 8, 60*x = -3*d + 62*x - 16. Which is the nearest to -5\/6? (a) -3 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.294522 to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -93\/959?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907770?\nAnswer: 2, 3, 5, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6031 - -6034. Solve -x + 3*p + 15 = 0, m*x - 7*p + 3*p - 25 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -118*b + 32. What is y(-1)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1010 + -1007. Solve -n*o = -4*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2. Let u(n) = -214*n - 7. Let f(y) = 221*y + 6. Let w(z) = -7*f(z) - 6*u(z). Calculate a(w(t)).\nAnswer: 69169*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230\/(-345)*189\/48*-1.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 4)\/((-2)\/(-4)). Let y(i) = -4*i**3 - 3*i - 4. Calculate the remainder when 96 is divided by y(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2011 + 26131\/13. Sort 1, 0.3, x.\nAnswer: x, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gugogggggggogugguguu. Give prob of sequence ouu.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkkkknkkkkkkk. Give prob of sequence kn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/228 and 11\/342?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-95))\/(-1)*(-18)\/(-405)*9.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 103*t**2 + 4223*t + 140. What is the smallest common multiple of a(-41) and 1855?\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 409 and 0.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*o + 10. Let w(r) = -3 - r - 4*r**o - 4*r - 2 - 5*r**3 + 3. Let a(i) = -4*i**3 - 3*i**2 - 4*i - 2. Determine -4*a(m) + 3*w(m).\nAnswer: m**3 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -186\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 386551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15047*p**3 - 4 - 15270*p**3 - 5*p**2 + 152557*p**3 + 3*p. Let v be l(3). Let m = v - -4999560. What is m rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97229822 or -97229824?\nAnswer: -97229824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12503?\nAnswer: 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27900 and 4050.\nAnswer: 251100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-37 + 22))\/(((-24)\/14)\/(-6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1848 - -2308. Calculate the greatest common divisor of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 2:56 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*u**5 + 547*u**2 - 2*u + 1704.\nAnswer: -160*u**3 + 1094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8193 (b) 2\/13 (c) -0.2 (d) 3\/7 (e) 9 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 4, o: 1, e: 1, x: 1, v: 4}. Give prob of picking 1 o and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -955*l**3*r - 70*r - 3 wrt l?\nAnswer: -2865*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6616 and 14?\nAnswer: 6630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 512, 1734, 4112, 8030?\nAnswer: 13872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187589 - -579049. Suppose 0*o - 3*o + 9325620 = 0. Suppose x - q - o = 0. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -563, -825, -1079, -1331, -1587?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*v**2 - 14*v**2 - 13*v**2)*(3*v**2 - 4*v**2 + 4*v**2).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -841?\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 7) + (-12 - -12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let c be (3 + 2 + -6)*z. Calculate the highest common divisor of c and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.01 - 0.01. Let n = -2.000006 + j. Round n to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 2. Let h(q) = -q**3 - 2*q**2 - q + 1. What is the remainder when p(4) is divided by h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 25988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 11*v**2 + 10*v + 4. Let s be b(-10). Suppose 0 = -4*w + a + 21, s*w - a - 15 = 2*a. What is the highest common factor of w and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -17. Let k = a + 94. Suppose 2*q = -0*u + 5*u + 112, 2*q = 4*u + k. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1128 and 984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-105)\/(-6)))\/(9\/63)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4518889.\nAnswer: 17, 227, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170.18 + -212.612. What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1539) - sqrt(1539))**2 - sqrt(1539)) + 5 + sqrt(1539))*-3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 37 + 89)*(32 - 34 - 98)*(-5*k + 3*k + 4*k).\nAnswer: -2800*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1014 and 4966.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/334807 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m. Let h(t) be the second derivative of 3*t**4\/4 + 3*t**2\/2 + 3*t - 16. Give h(i(w)).\nAnswer: 36*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 0*p**5 + 5*p**5 + 1693*p**4 - 1693*p**4 - 48*p**5 + (-3*p**3 + p**3 + 4*p**3)*(0*p**2 - 3*p**2 + 4*p**2) + 4*p**5 - p**5 + p**5.\nAnswer: -39*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7613941*d**4 - 647*d**2 + 185*d wrt d?\nAnswer: -182734584*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.882079 rounded to 0 dps?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + u - 4 = -j, 0 = 2*u + 4. Let t be (0\/(-2))\/(0 + 2). Solve 0 = j*o - 12 - t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2894159436 and 9351?\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14653756 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 - 30 = 0. Let h be (2 + -3)*-3 + f. Suppose h = -4*t - t. Let b(d) = d**2 + 7*d + 3. Determine b(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = y - 21, 4*y - 16 = -3*z. Solve 9 = -p + 3*s, -s + 4 - y = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**4\/2 + 145*y**3 + 6005*y**2\/2 + 26100*y + 81000 = 0.\nAnswer: -20, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141082, -141081, -141080, -141079, -141078, -141077?\nAnswer: -141076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.60085 milligrams in nanograms?\nAnswer: 6600850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (-71 + 66) - (2 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 27. Let h be (-40)\/(-6)*(-42)\/(-35). Let k be r(h). Suppose -t + k + 8 = 0. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 19070 = -2*c + 2*d, d = 0. Suppose -c + 2730 = -5*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 5.8. Let s(q) = 3*q**2 - 4*q**2 + 5 - 4*q - 1. Let x be s(-4). What is the second biggest value in f, x, 4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59076554*k**3 - 1102587 with respect to k.\nAnswer: -177229662*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 499494?\nAnswer: 499494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -6. Suppose o = -r*o + 2. Suppose 8 = -o*x - 4*j, -4*j = -3*j + 5. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(12)\/sqrt(4)))\/(sqrt(3) - sqrt(300)*-1) + -1.\nAnswer: -1 + sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249\/287 + -3\/287. Put 2\/7, -1, -5, p in ascending order.\nAnswer: -5, -1, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7*s - 3*z - 15 = 0, 0 = 5*z + 15. Put s, -1, 1, 5 in decreasing order.\nAnswer: 5, 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {f: 7, g: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + (-6 - -79) + 98?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0 + (-3 + 10 + 4)*(-1 + 2 + 0))*(-5*a - 4 + 4)*(-4 + 2 - 2).\nAnswer: 180*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*u + 585 - 660, -u + 25 = 2*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 352 = -8*n. What is the third derivative of -200*u**2 - 24*u**5 - 1 + n*u**2 + 1 wrt u?\nAnswer: -1440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2772 and 5412?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1 + 0 - 3 + 3. Let g(b) = 3*b + 2. Let u(y) = g(y) - 4*w(y). What is u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48936.0734 rounded to the nearest one hundred?\nAnswer: 48900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = 5*r, q + 14 = 3*q + 5*r. Suppose -d = -4*z + d + 38, 0 = q*z - 4*d - 28. Suppose -3*x + 4 = -z. Solve -y = p - 1 + 3, 32 = -x*p + 4*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2134343, 2134340, 2134337, 2134334, 2134331, 2134328?\nAnswer: 2134325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 48*n**2 + 2*n + 7. Suppose -2*o = -f + 1, o - 5 + 33 = -5*f. Let i be m(f). Let t = 2299\/2 - i. Find the common denominator of 9\/2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -340.9 - -341.3. What is the closest to 1\/27 in h, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 19. Let f = 8.000006 - m. What is f rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 18. Calculate b(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37044100 rounded to the nearest 100000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-131)\/786)\/(2\/39876). Is -3324 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -16. Let k(o) = 3*o - 7. Is k(p) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)\/d**5*(d**(-1\/2))**(-1\/18))**(2\/61) assuming d is positive.\nAnswer: d**(-431\/1098)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231147567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(550))\/(sqrt(40)\/sqrt(5) + sqrt(8) + sqrt(2)))**2 + -3*sqrt(77)\/sqrt(7)*-6 + -5.\nAnswer: 18*sqrt(11) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*sqrt(204)*1)\/(-1*(-1*sqrt(12) - sqrt(12))) + -1*(4 + sqrt(68)\/(sqrt(4) - 1*sqrt(100))).\nAnswer: -11*sqrt(17)\/4 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let n(i) = 36*i**2 - i - 5. Let f(m) be the first derivative of 6*m**3 - 3*m - 55. Let z(v) = -5*f(v) + 3*n(v). What is z(u(b))?\nAnswer: 72*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3747493 and 86.\nAnswer: 322284398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 2. Let f be l(5). Suppose k = -9 - f. Let o be (9\/k)\/((-6)\/8). Sort 0, -0.3, o in descending order.\nAnswer: o, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40511?\nAnswer: 17, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1061944561 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -107276, 4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271996455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqu when three letters picked without replacement from ttdbqudq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*r = 3*z - 53, -4*r + 4 = 0. Suppose -3 = 4*j - 19. Suppose -o - 2*q = 3*o - 16, j*o = -5*q + 10. Solve -s + z = -o*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(sqrt(5) + -1) - 5*(sqrt(180) + 0)**2.\nAnswer: -905 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.32 - 11. Let q = h + -0.31999902. What is q rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/9 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 151 - 154 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/2267 - -138383\/36272. Let y = 63\/16 + b. Calculate the common denominator of -69\/22 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 - 749 + 0*n**4 - n**3 + 30*n**2 + 0*n**4 - 2*n**4 + 750 in the form x + y*n**4 + v*n**2 + l*n + t*n**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -130. Solve 3*m - p - f = 2*m, 3*p = m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let f(h) = -26966*h**2. What is y(f(v))?\nAnswer: -727165156*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-12))\/((-8650)\/(-2768))?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6993, -12683, -17073, -20157, -21929, -22383, -21513, -19313?\nAnswer: -15777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434 - -31122342?\nAnswer: 31123331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-52)\/12)\/(11\/6). Let f = 4534 - 4537. Is f greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -46, 3, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -149343555625 take away -0.38?\nAnswer: -149343555624.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5058 - -9641. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422400000 rounded to the nearest 1000000?\nAnswer: 422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*r**2 + 2 - 19*r**2 - 3 + 20*r**2 to the form c*r**2 + d + n*r and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ffqiifqqqqifqffiiiq?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 31*y**3 - 2*y + 2. What is l(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9245 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 9*n**4\/4 - 9*n + 3. Differentiate j(p) with respect to p.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22355537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 14*b**2 + 916*b + 36. What is n(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56483403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 868814 and -0.0487.\nAnswer: -42311.2418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -11. Let w(o) = -o**2 - 4*o. Let d be w(f). Let h(m) = -m**2 + 8. List the prime factors of h(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 277363186*r**2 - 274387209*r wrt r?\nAnswer: 554726372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:51 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by -202139.\nAnswer: 69\/202139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 22*q**2 - 20*q + 23. Let y be z(-21). Solve 3*a + 5 = y*c - 4, -2*a + 5*c = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 107041*g + 20. Let h(z) = 2*z. What is h(l(b))?\nAnswer: 214082*b + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 26 + 1\/2*b**2 + 0*b. Let n(t) = -5*t - 2. Suppose 3*j + 2*j = 30. Give j*w(p) + n(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12409*c*f**2 - 848284*c - 6*f**2 + 3*f wrt f.\nAnswer: -24818*c*f - 12*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 - 0. Let x = v + 3.5. Which is the third biggest value? (a) 3 (b) x (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26592)\/8864)\/(((-2)\/16)\/(3\/(-22)))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(-1 + sqrt(7)) + -2)**2.\nAnswer: -12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 2*r - r + (4 - 2 - 5)*(0*r + r + r) as p + c*r and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-10)\/(-4))*-6. Let k be 2*(z\/(-6) + 0). Let l(p) be the second derivative of -11*p**3\/6 + 6*p. Give l(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 3 + 5 + 7*u - 4*u**2 - 5*u**2. Let a = -6 - 6. Let m = a - -5. Let j(t) = -2*t**3 - 8*t**2 + 6*t + 2. Determine m*j(x) + 6*v(x).\nAnswer: 2*x**3 + 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -17, -20, -35, -68, -125?\n\"Answer: -y**3 + 3*y**2 + y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-4)\/(-6)*990\/(-2310). Solve 18*i + 52\/3 + 2\/3*i**c = 0 for i.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -11 - 9) + (-2 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - 81. Let d be 2*(o\/(-6))\/3. What is the lowest common multiple of 2 and 18\/99 + 108\/d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(36\/(-6))*2\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 10:31 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 146295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -4, -316, -2, 2?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205706 (base 13) to base 3.\nAnswer: -1102100100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (7 + 0 - -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 12*u**2 + 3*u - 20. Let c be w(-6). Which is smaller: -903 or c?\nAnswer: -903","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5227, -5243, -5257, -5263, -5255, -5227, -5173, -5087?\n\"Answer: c**3 - 5*c**2 - 8*c - 5215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 2*b - 4*a - 4, -b + 4*a + 4 = 0. Let w be b\/((-3*16\/12)\/2). Let g(c) = -c. Determine g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 2:42 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -12, 2*c = 6*c + 4*q - 16. Solve 4 + c = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*t)*(1 - 1 + t) + (3 - 9*t - 3)*(-t + 0*t + 2 + 2*t).\nAnswer: -11*t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/3 + 18*g**4 + 781*g**3\/3 + 468*g**2 + 676*g\/3.\nAnswer: g*(g + 1)**2*(g + 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 265 and 1431?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let r(z) be the third derivative of 0*z + 2*z**2 + 0*z**4 + 0*z**3 + 1\/30*z**5 + 0. Calculate r(n(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3508 - -3559. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 9*v**2 + 6*v + 2. Let r be b(-8). Let t(w) = -w**2 + 33*w + 43. What is the hundreds digit of t(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - -74 - (3 + -5 + 9). Calculate the greatest common factor of f and 1116.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*x + 36, 4*l = -2*x + 3 - 33. What are the prime factors of (1896\/3 - 2)*l\/(-4)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by 126683.\nAnswer: -60\/126683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-7)*(-20)\/50?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**4 - 2*j**3\/3 - 2*j**2 + 4*j - 2799. Calculate l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:04 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50461\/3 greater than or equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 799\/10 + -80. Sort 2\/7, -3, c, -3\/4 in ascending order.\nAnswer: -3, -3\/4, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (35 - 17)) + (-3 - 112) + 7\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**4\/24 - 2*m**3 - 12*m**2. What is the remainder when 9 is divided by u(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 18 = -56*h + 59*h, h = -3*u - 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1835 = -5*z, -5 = 4*a - 17. Suppose 631 = 5*x - z. Let y = x + -109. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12369 - -12100.29. Let v = -271 - a. What is v rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/8 - 168801*r\/8.\nAnswer: 3*r*(r - 56267)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(-11)\/k)*k))**(-44)*(k**24*k)\/k**(-2\/17))**(-2\/33) assuming k is positive.\nAnswer: k**(-20302\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -161473195 and -0.32?\nAnswer: 161473194.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*l + 7 = -0, -3*k = 2*l - 8. Let m(h) = -33 + 3*h**k + 33. Let w(f) = -4*f. Give m(w(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.0615, 61, 0.4, -4, 1.\nAnswer: -18.0615, -4, 0.4, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(500) - sqrt(500)*5) + 5)**2 - (1 + sqrt(245) + 1*sqrt(5) + -3)**2*6.\nAnswer: -608*sqrt(5) + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86)\/(-11) - 2\/(-11). Let l = 10 - f. Is ((-10)\/(-30))\/(l\/858) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 42 = -b. Let n = b - -21. Suppose n = -2*o, -4*c - o = -c - 1545. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50679 is divided by 25337.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + (-3 + sqrt(72) + 1 + 2 - (-4 + -3 + (-1 + sqrt(72) - sqrt(72)))) + -4)**2.\nAnswer: 72*sqrt(2) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 + 6*f + 4. What is the units digit of b(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.762 - -1.762. What is the closest to -0.4 in -17\/6, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6189?\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1461*q - 131496. Calculate y(90).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2270 - 2259. Solve 0 = -2*w + g + 7, -w - 3*g + x = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.959251845 to three decimal places.\nAnswer: -2.959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4145 - -10306. Suppose 1833 + j = 14*o. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111111 (base 2) in base 7?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2 - 50*w - 154. Let l be v(-3). Suppose 0 = 5*k - r - 39 - l, 2*k - 26 = -2*r. Calculate the remainder when 70 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.9 and 0.25.\nAnswer: -1.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 67?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -22\/406429?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -11. Suppose -3*g = 2*g - 10. Suppose -g*q + s = -4. Calculate the remainder when 5 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 - 9424696*u + 5551555918276 = 0. Calculate u.\nAnswer: 1178087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 4*d - 7, -4*t + 4*d + 4 = 0. Is -2.3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v - 84 = 0. What is the remainder when 62 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 + 6*w + 2. Let y be v(-4). Let b be 16\/y*((-15)\/(-10))\/(-1). Solve -b = -p - 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let h(q) = 115245*q. Give d(h(a)).\nAnswer: -230490*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from cmmmcmmm?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 461 and 368800?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3*6\/(-4))\/(180\/(-5280))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19364 by 23.\nAnswer: -19364\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.77 + 0.03. Let w be 2 + (0 + 1 - 399\/70). Let s = -71\/30 - w. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262596 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/104319 and 3\/23182.\nAnswer: 208638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 2 + 0)*(0*j - 4*j + 5*j) + 5*j - 3*j - j)*(318*j + 55 - 30 - 21) as z + y*j + v*j**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**2 + 571 + 746 - 1317.\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - (-2 - 0 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:15 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80844 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03218 - 0.08429. Round p to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 41 + 4 = -5*g - 69, 5*d - 8*g - 107 = -2*d - 0*g for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 1 z when three letters picked without replacement from lklwlzzwztwmlzllkllz.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 3. Determine b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 890 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5155, -19727, -43715, -77119, -119939, -172175, -233827?\n\"Answer: -4708*g**2 - 448*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three quarters of a year?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 339*r - 27. What is a(1)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuubpubbpubpppuu. Give prob of picking 1 p and 1 u.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*k**3*x - k**3 - 48*k**2 - k*x - 47776*x wrt k.\nAnswer: 30*k**2*x - 3*k**2 - 96*k - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -571 and 1.\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9469 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/27 and -13\/1720128?\nAnswer: 15481152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568314458?\nAnswer: 2, 284157229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 314319590*w - 91223943.\nAnswer: 314319590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34635 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*-10*(-39)\/(-1560)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 8 = s, 4*s = -s - 5. Let y be -3*(l - -2) + -1155. Does 7 divide 2\/(-3) + y\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Suppose 9 = l + y*l. Suppose -4*s = -l - 17. Solve 11 = -2*w - 3*j, -j - s = -w + j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9445 + -0.075905426535.\nAnswer: 9444.924094573465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 610 - 77 = -m, -2217 = 4*m + d. Let r = m + 883. Suppose 0 = -q - z + 26, 18*q + 2*z = 22*q - 128. What is the highest common divisor of r and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 24*g + 15. Let t be b(12). Suppose -8530 = -t*z + 5*z. Suppose 174 + 1528 = 2*o + 5*u, -o + z = 3*u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71 - 53*l**2 + 71 + 2*l**2 + 3*l - 3*l + (1 - 1 - l)*(-l + 0 + 0) + 4*l**2 - 2*l**2 - 3*l**2.\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g + 1579087 - 1579037 - g)*(0 + 3 - 2)*(-1 + 4 + 1).\nAnswer: 36*g + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(13) - sqrt(117))*3 + -4 + sqrt(39)\/sqrt(3))*1)**2 + -5.\nAnswer: 360*sqrt(13) + 3064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/2, -5, 22\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-749)\/28 - (29 + -81 + 14).\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9110945.\nAnswer: 5, 1822189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85 or 163520\/1937?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -41, -52, -79, -128, -205?\n\"Answer: -l**3 + l**2 + 3*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*m + 266 - 76 = 0, 2*t - 182 = m. Let h = 88 - t. Is ((-404)\/(-8) - h) + (-2)\/4 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 2*h**2 + 10*h - 5. Let r be 1*-1 - (-7)\/((-35)\/(-25)). Let w be i(r). What is the highest common divisor of w and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r + 4. What is the greatest common divisor of r and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89631290 divided by -98?\nAnswer: -914605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 21 - 27. Suppose -y = -3*v + 14. Suppose 0*t - 4*t + 8 = 0. Calculate the highest common factor of t and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(2\/3))\/j**(2\/5))\/(j*j*j**(-3\/8)*j**(-1\/12)))**(3\/47) assuming j is positive.\nAnswer: j**(87\/1880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -209*j**3 - 332*j**2 - 4*j + 3. Let c(r) = -208*r**3 - 327*r**2 - 3*r + 2. Let l(m) = 4*c(m) - 3*o(m). Find the third derivative of l(d) wrt d.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q = -61*q + 95 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73 and 8?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/3)\/(2\/(-6)). Let t = 11 + c. Suppose 2*z = 5*a - 106, z = -2*z - 9. Solve -a = 4*m - t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p**2 + p + 1. Let q(n) be the second derivative of 8*n**5\/5 + 16*n**4\/3 - 32*n**3\/3 - 32*n**2 + 9*n - 308. What is 64*b(k) + q(k)?\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8646, 7770, 5410, 828, -6714, -17954?\nAnswer: -33630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*p - 152, -6*p - 4890*z - 220 = -4891*z for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4 = 26. Let o(n) = -6*n**2 - n - 1. Let h be o(-1). Let w = i + h. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287 + -154. Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 8:28 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22430 is divided by 234.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.3182 + -0.2882. Round s to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41865 and 3645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*j**2 - 23 - 6 + 217*j**2.\nAnswer: 2*j**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77713*n**3 - 4658*n wrt n.\nAnswer: 466278*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.37 - -0.37. Let y = -14.005 - h. Round y to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/153*(-6)\/14. Let s = h - -4409\/238. What is the common denominator of s and 109\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1209 = -5*y - 4*h, 3*y - 685 - 46 = -h. Suppose 2*f - 240 = -4*n, 3*n - y = -0*f - 2*f. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 506*h + 1521. Give i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.009373 - -0.1.\nAnswer: 0.090627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105106592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/36)\/((-2)\/6) - -8. What is the common denominator of 63\/(-20) - -2 - (9 - u) and 291\/72*12\/16?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/((-30)\/25)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.0632 and 0.2.\nAnswer: -6.8632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*b = -4*b. Suppose 48*o - 604 - 1028 = b. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 47*z**2 + z + 769. Determine d(0).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -182*y**3\/3 + 13*y**2\/2 + 3598*y + 8892. What is the derivative of a(c) wrt c?\nAnswer: -364*c + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*l - 5*l + 6 = 0, -3*v - 2*l + 7 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 != 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 4:00 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -109. Suppose -l = 5*u - 18 - 35, -47 = -5*u - 4*l. Let r(v) = 21*v - 145. Calculate the remainder when r(u) is divided by n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 12*x - 20. Let p be m(14). What is the greatest common factor of 32 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 11 (c) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*v = -12, 5*v + 0 = 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76695 = 4*b - o, 12*b - 13*b + 5*o = -19207. List the prime factors of b.\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afa when three letters picked without replacement from {a: 7, f: 4}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (50 - 2)*2\/6. What is the highest common divisor of 40 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 975 by 596.\nAnswer: 975\/596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(12\/(-42)) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205758211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -9. Let h(i) = -i**3 - 2*i**2 + 6*i - 5. Let p be h(f). Factor -o**p + 0*o + 0*o + o**4 + 0*o**3.\nAnswer: o**3*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87621002 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 15 - 2 - ((6 - -2) + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**5 + 2*x**5 + x**5 + (x - x + x)*(0*x**2 + 2*x**4 + 0*x**2) + 2*x**5 + 0*x**3 + 0*x**3 + 4*x**5 + 4*x**2 - 4*x**2.\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 386, 464, 526, 566, 578, 556?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*j**2 - 247.\nAnswer: -132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7254 and 3.\nAnswer: 7257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ekkhhwshseeekhhejssh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*i + 292*i - 113*i**3 + 2*i**2.\nAnswer: -113*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9087.02 and -0.44.\nAnswer: -9087.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l**5\/2 + 414524*l**4 - 379042*l**3 - 805400*l**2 - 189504*l = 0 for l.\nAnswer: -23688, -4\/5, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 0, -p + z = -2*z + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 3 + 3*p**2 + 3*p**3 + 1 + 0 - 4*p**2 - 6*p**3. Let l be r(0). Which is the biggest value? (a) 0.6 (b) l (c) 7\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 1784, 1, 12, 4, 7 in descending order.\nAnswer: 1784, 12, 11, 7, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(16\/7)\/g*g*((g*g*g**(-28))\/g*g)\/g)\/(g**25\/g**(10\/13)))**(-17\/6) assuming g is positive.\nAnswer: g**(37859\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 3*i**3 - 81\/2*i**2 - 5*i - 1\/12*i**4 - 2. Factor q(j).\nAnswer: -(j - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105925*v*w*y - 9*v*w + 11*v - 3*w*y - w + 329 wrt y?\nAnswer: 105925*v*w - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1246623 and 63336.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 125853120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**3 + 8*j**2 + j - 6. What is g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 234 and -12.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 813262 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -500 (base 6) to base 4.\nAnswer: -2310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*(9 - -11 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 234 + -236. Sort a, 4, -55.\nAnswer: -55, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - -2*sqrt(847)) + 1*-2*sqrt(7).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-2*h**4 + 3*h**4 + 0*h**4) + (0*h - 1 + h - 6*h)*(h**3 - 4*h**3 + h**3).\nAnswer: 8*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdddpxuxss. Give prob of sequence sp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6725a7 (base 12) to base 9\nAnswer: 3073011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*b + p + 16, 0 = 2*p + 100 - 180 + 90 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - j**2 - 3*j + 1. Let q be n(-3). What is the greatest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtg when three letters picked without replacement from gttgd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 + 9 = -4*n, 0 = -4*v - 4*n - 28. Put 5, -0.5, v in decreasing order.\nAnswer: 5, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ca17 (base 13) to base 14\nAnswer: -168d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 22 and -1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from sshhshhhshsssh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -15 - (110 - (21 - -106))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10142)\/(-84))\/(-11) - 3\/(-21) and 33\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j - 26. Let i(q) = 6*q - 26. Let v(n) = 4*i(n) - 5*s(n). Let u be v(24). Is -1\/19 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 - 8*r + 5. Let z be u(3). Find the second derivative of -11*y**3 + 19*y**2 - 19*y**2 - 21*y**3 + z*y wrt y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 1788*l - 7168.\nAnswer: (l - 1792)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (338790\/675740 - (-4)\/(-8))\/((-3)\/39)\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.569433362758 and -4.\nAnswer: -2.430566637242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 1. Let z(n) be the second derivative of n**3\/2 - n**2 - 17*n. Give 8*c(l) - 3*z(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986904.1m to centimeters.\nAnswer: 98690410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0 + 15 = s, 0 = -3*s + d + 5. Suppose s*y - 6 = -2*y. Suppose 5*h**3 - h**4 - h**4 + h**5 - 4*h**y = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 9. Let t be c(-4). Suppose y - 7 = -2*o + 2, 2*y - 4 = t*o. Suppose -2*j = 2*m + 2*m - 14, 0 = -y*j - 2*m + 75. Solve 0 = -5*q - 7 + j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38\/9 - 121\/18. What is the closest to 2\/7 in 5\/8, 0.01, 0, w?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuhxhssu. Give prob of sequence shh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, s: 3, q: 5, i: 1, f: 4, k: 1}. Give prob of picking 1 k, 1 q, and 1 i.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1444*p**2 - 2724832*p - 7548.\nAnswer: -4*(p + 1887)*(361*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u - 1199 = 135*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2 + 2)*(-449*c + 652*c + 145*c) - 2*c**3 + 3*c**3 + 0*c**3.\nAnswer: 349*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225454243?\nAnswer: 7, 107, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.729 - 47.\nAnswer: -45.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2514.6 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z = 5*k + 755, k + z = -142. Let a = -147 - k. Solve 4*b - 5*b + 3*i + 10 = a, -10 = 5*b + 5*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2499 = 5*u - 3*y, 2*y + 514 - 9 = -u. Let i = 953 + u. List the prime factors of i.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 26*g**2 - 56*g - 52. Give o(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 279*h - 643. What are the prime factors of q(66)?\nAnswer: 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 40191 in decreasing order.\nAnswer: 40191, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -23. Is 0 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(192) - (sqrt(192) + -1)) + -5*2*sqrt(192) + -3 + (sqrt(192) + sqrt(192) + 3)**2 + 3.\nAnswer: 16*sqrt(3) + 779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 176\/24*48\/88. Solve x*k + p + 13 = 0, 4*k - 3*p + 14 = -5*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*a + 76*a**2 - 19*a**2 - 21*a - 5 - 27*a in the form w + b*a**2 + z*a and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73517 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-4) - 2 - -4. Let n(j) = -j**2 - 2*j + 3. Let i be n(f). Which is the second smallest value? (a) 2\/13 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -9 - -6) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -662.52 - -668. Let s = k + -4.98. What is the fourth biggest value in -19, 3, -0.1, s?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 280 = b, 4*b - 14 = -y + 61. Suppose -58*i = -y*i + 9. Sort 0.37, 1\/7, i.\nAnswer: i, 1\/7, 0.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90 + 494*g + 83 - 55*g - 164 in the form i + m*g and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11388.\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/4284)\/(2\/(-18))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.9, 0, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 386986043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/24*(-3)\/34. Let r = t + 40\/51. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3*q + r - 83, -27*r - 31*r + 60*r = 3*q + 54 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-49\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 67?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-18))\/(1\/3). Which is the smallest value? (a) u (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d - 27. Let r(a) = 180*a. Determine v(r(f)).\nAnswer: -1620*f - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - -4) + 12*3\/(-6). What is the biggest value in 2\/7, s, 36.7?\nAnswer: 36.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12777604*a*k**3 + 2*a*k**2 + 56*a*k + 2*a - 30*k**2 - 24*k wrt k.\nAnswer: 76665624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 4. Let v be 488\/32 + (-6)\/(-8). List the prime factors of 252\/v + 6\/t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 39 = 21*j - 22*j, -2*r = 4*j - 66. Suppose 7*b - 14*b = -j. Solve 5 = b*u - 7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b\/(b*b*b**4))\/(b\/(b\/b**0))**(2\/97) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let d be -4*(1755\/(-280) - -6)*10\/125*5. What is the closest to -0.8 in s, d, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3095 by -1979.\nAnswer: 3095\/1979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0082926666 to four dps.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3318638, -3318648, -3318660, -3318674, -3318690, -3318708, -3318728?\n\"Answer: -r**2 - 7*r - 3318630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.396, 0.262, 0.2.\nAnswer: 0.2, 0.262, 0.396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + (-41535)\/(-270). Let b = -34259\/222 + h. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2 - 8. Let l = 811 - 8935\/11. Find the common denominator of l and 302\/(-66) + r\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2293*p + 2197. Let j(x) = 1145*x - 1099. Let u(g) = 7*j(g) + 3*t(g). Differentiate u(o) wrt o.\nAnswer: 1136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -31 greater than or equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60\/7 - -8. Let b = -4 + 7. Suppose b*a - 4*a - 1 = 0. Put d, 0.1, a in ascending order.\nAnswer: a, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 2, y: 1, t: 1}. Give prob of sequence ott.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:51 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/34 - (3 + 25\/(-10))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1 - 0.1. Let a be (-13)\/(-26) + (-3)\/12. What is the nearest to a in 0.5, -2\/5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = 0, 0 = j + f + 25 + 26. Let y = 54 + j. Let x = -58 + 62. Solve -2*o - x*a + 2 = -y, a = -o - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 less than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5792.681l?\nAnswer: 5792681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 4559802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*f**3 + 5*f**2 - 2 + f**5 + f**5 + 28*f**6 + 48*f**3 wrt f.\nAnswer: 3360*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-2))\/((1\/(-14))\/(552\/966))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34708232 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - 2 - -14) + 85?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 - u - 2. Let n(s) = -s**2 + s + 1. Let w(v) = f(v) + 2*n(v). Suppose -3*h + 4 = h. Determine w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 4*w - 1680 = 0. Calculate the remainder when w is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 70. Which is bigger: 34 or c?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505.12 rounded to the nearest 10?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29054?\nAnswer: 2, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -135, -298, -535, -852?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*i = -i - 12, -3*j + 14 = i. Which is the fourth biggest value? (a) -1 (b) 0 (c) -4\/3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 14*s**2 + s - 12. Let d be q(14). Suppose 0 = d*l + i - 0*i - 77, -3*l = -2*i - 98. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-4)\/8)\/((-1)\/238). Let a = o - 103. Solve 4*n = -q + 9, 2*q + 4 = -2*n + a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {j: 9, r: 1, q: 1, t: 1, y: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -c1?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 2*z**3 - 2*z**3)*(-13 + 21 - 2).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 1 - 2 - 2*o)*(4 - 5 + 3)*(-2 + 0 + 1).\nAnswer: -8*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -11 (c) 0 (d) 8 (e) 6459 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/639 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 174347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = 2*n. Let c = 35 - n. Let k(x) = 3*x - 4. Let a be k(6). Calculate the highest common factor of c and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646798 to the power of 1\/2, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (-50 + 61) - (7 - (3 - 9))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25414 + -40540?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -28.94. Let j = 5 - 5. Let n be 1*((-95)\/20 + 5). Which is the closest to m? (a) n (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.1, -3\/926?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16390278 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwo when three letters picked without replacement from {d: 4, w: 4, o: 6, l: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 289 - 6*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 - 1660488*j - 229768366512 = 0. Calculate j.\nAnswer: -276748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.62 - -0.13.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60721*n**2 + 5917*n**4 - 122097*n**2 + 61068*n**2 + 1 wrt n?\nAnswer: 142008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6061675 is divided by 319026?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -60254000 rounded to the nearest 100000?\nAnswer: -60300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - 353*x**2 - 7054*x + 165. Give l(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 2. Suppose -5*s + 2*p + 25 = 0, -3*s + 0 = 3*p + 6. Calculate h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 403*x**2 - 414*x**2 - 19 + 1250*x**2 - 402*x**2 in the form i*x + n*x**2 + t + r*x**3 and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1, -19 in increasing order.\nAnswer: -39, -19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(26)\/sqrt(2)*1 + 2*sqrt(13) + 2))**2 - 5*(sqrt(13)*-1 + 4 + 0)) + 0.\nAnswer: 17*sqrt(13) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -814 divided by 12?\nAnswer: -407\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 12*z - 7*z - 2*t, -2*t = -2*z + 22. Let y(g) = g - 18. What is y(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34.782 in -1\/6, 3, -5\/2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gilkluuikyuglgi. What is prob of sequence llk?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**3 - 31*j**2 - 25*j - 416. Is 17 a factor of y(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 19 = -4*k, -38*q + 12 = -43*q - 3*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*o - 36, 0 = 2*d - o + 2*o - 27. Let i(l) = d*l - 2*l + 0*l - 9 - 10*l. Let g be i(4). What is g rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 1 + 2 - 3*l**4 + (12*l + 97*l - 29*l)*(-3*l**2 - l**3 + 3*l**2).\nAnswer: -81*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 75. Which is the nearest to k? (a) 0.5 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(33\/(-9) + 4). List the prime factors of 19\/1 - 8\/a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-309)\/1339*26\/(-4). Suppose 0 = -4*b - b. What is the closest to 0 in 1, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 + 283\/2. Which is smaller: n or 370?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 >= 2098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 656\/48 - (-8)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - 0.22. Let j = -4.6 + 5. Let w be 4\/42 - 2\/(-6). What is the second biggest value in j, b, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 + 77 - 4*n**2 + 2*n**2 + (-3*n + 2*n + 3*n)*(-3*n + 3*n + n) - 2 + n**2 + 2 as g + w*n**2 + p*n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -789.111 take away -1794619?\nAnswer: 1793829.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3261, 3260, 3259, 3258?\n\"Answer: -z + 3262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwxxw. What is prob of sequence xx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.3 - -4. Let o = -54.00048 + 53.7. Let g = r - o. Round g to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - v + 4, -105*v = -107*v + 8. Let z = -6 - -8. Solve -5*a = z*t - 0*a + 11, t + 4*a + 7 = w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.1. Let p = m + 1.9. Let o = -1.03977 + 4.03977. Is p smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**2 - 100*r + 184 = 0?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/((-4)\/(-2 + 82))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:52 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*w - 2*w - 3*w)*(-1 + 4 - 1) + 471828 - 471828 - 5924*w)*(3*w - 3*w - 2*w) to p + i*w**2 + x*w and give i.\nAnswer: 11852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 135671 and 135598 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8295859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -513523012 (base 6) to base 8\nAnswer: -41630720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2 - 130*j + 4225 = 0. Calculate j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7673, 19, -3\/8.\nAnswer: -0.7673, -3\/8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -19*g - 157. Suppose -4*y - 2*s = 36, 2*y + y + 3*s = -27. Let v be h(y). Calculate the greatest common divisor of v and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 33*u**2 + 10*u - 2. Let g be b(-8). Let t = 4359 - g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 2*j + j + (-2*j - 2*j + 6*j)*(-2 - 1 + 1) + 2 - 2 - j + 5 + j - 5 + 3*j + 3*j - 5*j + (2 + 0 - 4)*(j - 3*j + 4*j) + 0*j - 3*j + j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064600195 to 5 dps.\nAnswer: -0.0646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/709 at most as big as 1411\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1810 and -53\/118?\nAnswer: 106790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -25*f**2 + 1. Let k(u) = -26*u**2 + 1. Let w(g) = -3*c(g) + 2*k(g). Calculate the remainder when 43 is divided by w(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474047474402 + 474047474402 - 181*a.\nAnswer: -181*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*b + 76*b + 160 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -16*n**3 - 2*n**2 - 4*n + 8. Let k(v) = 32*v**3 + 3*v**2 + 7*v - 14. Determine -3*k(u) - 5*q(u).\nAnswer: -16*u**3 + u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 60, 69, 78, 87?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*q - 530 = 102*q. Suppose -q*t = -31*t + 110. Let w(y) = -y**3 + y + 4. Let v(k) = k**2 + k. Let a(z) = -6*v(z) + w(z). Determine a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5384 or 5382?\nAnswer: 5382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**3\/6 + q - 19. Let r = -3 - -4. Let f be -6*(-2)\/6*r. Calculate m(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 1. Let i(t) = -6*t**2 + 1. Suppose -2*s - s - 40 = -5*w, w + 10 = -3*s. What is w*o(n) - 3*i(n)?\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*p = 810*p - 4*s, s = 4*p + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -141481, -282959, -424437, -565915, -707393, -848871?\n\"Answer: -141478*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.57066408 - 108?\nAnswer: -110.57066408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 74 = 26 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.56 - 4.04. Let b = q + 5. Let j = 1.713 + -0.713. What is the second biggest value in -0.5, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**3 - 67*q**3 - 45*q**3 + 64*q**3 + 0*q**2 - 2*q**2.\nAnswer: -71*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324367398?\nAnswer: 2, 662183699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -301\/5. Find the common denominator of ((-2414)\/(-72))\/17 + -2 + -3 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46825, 187499, 421955, 750193?\nAnswer: 1172213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**7\/28 - d**6\/20 - 3*d**5\/40 + d**4\/8 - 15*d. Factor v(c).\nAnswer: 3*c**2*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:56 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*x**3 + 1 - 2*x + 2*x - x**3 + (13*x - 26*x - 4*x)*(-9*x**2 - 8*x**2 - 5*x**2) to the form t*x + v + n*x**2 + g*x**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43830 and 4358163?\nAnswer: 130744890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 7*w + 7. Calculate the remainder when v(6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Let m be 4 - (-2 + z + 3). Does -3\/4 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4311735 to the power of 1\/2, to the nearest integer?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -536*f**2 + 350*f + 16. Let n(c) = 535*c**2 - 349*c - 11. Let g(w) = 3*n(w) + 2*o(w). Find the second derivative of g(m) wrt m.\nAnswer: 1066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3405, 3406, 3407, 3408, 3409, 3410?\nAnswer: 3411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-125))\/((-3)\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 687*h = 698*h. Let d = 0.3 - 0.34. Sort h, 0.4, d.\nAnswer: d, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**3 - c**2 - 2*c - 1. Suppose 125 = 5*k + 5*n, 0*k - 95 = -4*k + n. Let m = -25 + k. Let l be t(m). What is the biggest value in l, 0.3, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 190990849?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1 + 2 + 28*j**2 - 2 - 36*j**2 - 9 - 1. Let t(q) = -q**2 + 3*q + 5. Let l(g) = 4*g**2 - 14*g - 24. Let w(z) = 6*l(z) + 28*t(z). Give -4*d(n) + 9*w(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/4 (b) -2\/17 (c) 25 (d) -16\/93 (e) 0.11 (f) -5 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -166871 equal to -1001225\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 587863.9 years in millennia?\nAnswer: 587.8639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 12 - (13 - 25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*q - 787*q - 5 = 5*w, 2 = -2*w - 3*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and 97\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*p)*((2*p**2 - 4*p**2 - p**2)*(6*p - p - 3*p) + 4*p**3 - 27*p**3 - 18*p**3).\nAnswer: 235*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (49 - 11) + -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16641 is divided by 5472.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -4, -1\/209, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89778 or -89779?\nAnswer: -89779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 378389968 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.35. Let r = -5\/99 + -287\/198. Sort -4, f, r.\nAnswer: -4, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(180*o**2 - 67*o**2 + 90*o**2).\nAnswer: -406*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssttsep. Give prob of sequence espt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -5 - 32 - 14\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k + 0*k - 3 - 2*k + 5*k. Let v be n(-5). Suppose 0 = -4*a + v*a + 28. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -3, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1186186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 7*n + 2*n + 51, 2*n = -6. Let d = -10 + u. Suppose -107 = -2*z + z + y, 2*z + 5*y = 221. What is the highest common factor of z and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 302322, 302330, 302340, 302352, 302366, 302382, 302400?\n\"Answer: d**2 + 5*d + 302316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28014 from -7033.\nAnswer: 20981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 12 + 1 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -32 - ((-163 - -11) + 3)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*j + j - 215, 0 = -4*u + 3*j - 205. What is the units digit of u\/(-10) + 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 4, g: 1, v: 2, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9762575 and 17572635?\nAnswer: 87863175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlffb. What is prob of picking 1 l and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5) - 88\/(-110)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2. Let x(s) = 999*s**2 + 666*s + 1332. Let v(g) = -2*g**2 - g - 2. Let r(w) = -666*v(w) - x(w). Determine r(o(c)).\nAnswer: 5328*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:00 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02567 + -119.10567. Let g = i - -5.68. What is g rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/31 and 35\/227.\nAnswer: 7037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51098, 50774, 50132, 49088, 47558, 45458, 42704?\nAnswer: 39212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 6. Let m = 1.56 + -1.76. Which is the smallest value? (a) m (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {w: 2, l: 1, m: 2, h: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1188 and 69\/44.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1571.004463 - 1571. Round o to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 2*p + 0 + 0. Let h = 1 + -3. Calculate the least common multiple of c(h) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - p - p)*(-10 + 10 + 3*p)*(2 - 4 + 4) + 52*p - 52*p - 41*p**2 + 2*p**2 + 0*p**2 + 0*p**2 in the form q + y*p + b*p**2 and give b.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -96 - 304. Suppose 2*z + 2*z = o. Suppose -2*s + 20 = 4*m, -4*s = -s + 3*m - 15. Solve s = 4*n - z + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 2\/17, -2, 4, -47\/642, 1\/2, -1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1916484 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20368 by 38.\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - j = -72, 5*m + 0*j = 3*j + 392. Suppose -l + 3*l + m = 0. Find the common denominator of 4\/9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {p: 5, i: 2, y: 2, u: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 416*n - 173. Does 22 divide t(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:58 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Find the second derivative of l*a + 4*a**5 - 3*a - 2*a**5 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -0.03, 5, 2\/19, -6\/29?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:45 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**2 + 129*p + 18. Let o be d(-16). Let m(i) = 27*i**3 + 9*i**2 + 9*i + 13. Let r(k) = -7*k**3 - 2*k**2 - 2*k - 3. Determine o*m(u) + 9*r(u).\nAnswer: -9*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -253 or -32249?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*v + 4, v = -4*o - 3*v + 24. Suppose -o*u = -2*u - 116. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a667 + 3?\nAnswer: -a664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3.6. Let i be (1\/28)\/(3\/8). Which is the third smallest value? (a) i (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -72*q - 14944. Let g(y) = -26*y - 4981. Calculate -11*g(s) + 4*m(s).\nAnswer: -2*s - 4985","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 907 + -503. Let p = r + -403.5. What is the closest to 19\/3 in -1, 0.1, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = -64*u + 59*u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51091041791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.919228 millennia in months?\nAnswer: 119030.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68)\/12 - (-1)\/(-3). Let m(r) be the first derivative of -r**3\/3 - 4*r**2 - r + 26. What is the remainder when 20 is divided by m(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/45 - 2\/(-15). Suppose q = 25*f - 20*f - 20. Suppose f*j = 283 + 313. Does 43 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) -1 (c) 167\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/4, 0.5, 2, -1 in decreasing order.\nAnswer: 8, 2, 0.5, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2130, -2.\nAnswer: -2, 4, 2130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8078)\/(-577))\/(-35*2\/(-50))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let h be (-1)\/4 + f\/(-4). What is the remainder when (-14)\/(h + 5\/7) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 3\/2, -3349, -3, 3, -4 in descending order.\nAnswer: 3, 3\/2, 2\/13, -3, -4, -3349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v + 273 = -5*w, -2*v - 257 = 5*w. Let x = 3 - w. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 + 450*v - 1165. Calculate o(87).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 7*q + 4. Let o be f(-6). Let m = o + 22. What is the smallest common multiple of m and (16*2\/20)\/((-12)\/(-90))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22212 - -1001220?\nAnswer: 202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-12)*6*2\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 926448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 1\/120*n**5 + n - 1\/3*n**3 + 1\/24*n**4 + 0 + 0*n**2. Let h(y) be the second derivative of z(y). Calculate h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-2)\/(-48)). What is the tens digit of ((-4)\/h)\/(1\/639)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2 + -5 + 5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m + 10. Let b be f(10). Suppose b = 5*c - 2*h, 1 = c - h - 29. Let z be 130\/c + (-4)\/(-6). Solve 0 = p - 3 + z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -22*q + 131. Let d be l(-7). Suppose -33450000 = 280*g - d*g. Round g to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 6. Suppose 5*u - f = -114, -2*u = f - 3*f + 52. Let l(r) = -r - 1. What is u*l(i) + 4*k(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-18) + (-58)\/(-18). Suppose j*i + i = 5*m + 16, -2*i + 8 = -5*m. Which is smaller: m or 2\/31?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 10*c - 26*c - 4*c.\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/10 - 8*u**4\/3 - 64*u**3\/3 - 3*u - 2. Find i, given that n(i) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 0*d = -22. Suppose 3*p - 2*p = 2. Suppose -4*i - p*y = -154, 2*i + d*y = -0*i + 78. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*y + 9039 = 58*y + 64*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(1\/2))*i\/(i*i**6)*(i\/i**(-2\/17))\/i*i*i**6*((i\/(i*i**(1\/2)))\/i)**(14\/3)\/(i\/(i**1*i)*i)**(-1\/2) assuming i is positive.\nAnswer: i**(-183\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -18, 3\/8, 32, -5, -12?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/12 (b) 1 (c) 1\/7 (d) 1\/52 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/37555?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 0.5 (c) 3 (d) -1\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -0.1 (c) 3\/4 (d) -2\/33 (e) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*m**5 + 560*m**3 - 112*m + 51?\nAnswer: 260*m**3 + 3360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -293*z + 85. Let p(f) = 49*f - 13. Give 6*c(q) + 39*p(q).\nAnswer: 153*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0097 * -97792.\nAnswer: 948.5824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 2837899?\nAnswer: 11\/2837899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -2*b - 18. Suppose 2*f - b*n - 113 = 0, -3*f + 267 = 4*n + 55. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-8)*3\/(-27))\/(6\/((-72)\/114))\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -525*h**6 - h**4*y + 2*h**3*y + 324*h**2*y + y wrt h.\nAnswer: -63000*h**3 - 24*h*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-28)*7\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:23 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 - 164180?\nAnswer: -163563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-97)\/(-4)*(-1 - -5). Suppose 2*p = l + 3*p - 23, 5*l - p - u = 0. Suppose 2*b + 3*b = l. Calculate the remainder when 7 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*l - 125. Let x(o) = -607*o + 1797. Let k be x(2). Calculate the greatest common factor of k and l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2062391370 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 5*y**3 - y**2 + 25 + 0*y + 7*y - 6*y - 20 + 5*y**4 to the form v*y**4 + t*y + d*y**3 + f + m*y**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 532120453 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467755.\nAnswer: 5, 373, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2859, -13333, -31419, -57117, -90427, -131349, -179883?\nAnswer: -236029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 + 260 + (2 - -22).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 14*k + 2064. What is the units digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*(0 + -3))\/(-1). Suppose 0*s - 3*b = -2*s + 17, 2*s + f*b = -1. What is the least common multiple of 23 and s?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439, 1726, 3851, 6814, 10615, 15254, 20731?\nAnswer: 27046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2372*b**2 - 25*b + 208. Is p(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -431.00321 - -431. What is f rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {y: 1, z: 7, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -34*d - 9. Let y be i(5). Let u = -66 - y. Suppose 5*w = -3*q + u, 2*w + 23 = 4*q - 3*q. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 4. Let k be d(1). Let m(y) = -y**2 - 2*y + 2. Let t be m(k). Suppose -11*u + 2 + 42 = 0. Solve -4*o + 30 = -5*c, 10 = t*c + 2*o + u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.9 - -58. Let j = y - -4. Which is the closest to j? (a) 2 (b) 0.2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 702\/78*(218\/3 - -1). Let d = m - 641. What is the greatest common divisor of 594 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 - 2146*s**2\/7 + 96400*s - 50646632\/7.\nAnswer: 2*(s - 482)**2*(s - 109)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = 5*i, -3*i - 4 = -4*g - 6*i. Let x = 0 - g. Let z = x - -9. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 327143, 1308849, 2945027, 5235677, 8180799?\n\"Answer: 327236*o**2 - 2*o - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 1. Let j(k) = k - 1. Let b(s) = -2*j(s) - q(s). Let g be (-4)\/10 - (-36)\/(-60). Let p(a) = 6*a - 5. Let z(h) = g*p(h) + 5*b(h). Give z(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.18 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 + 184. Let j be ((-16)\/10)\/((-1)\/5). Suppose -j = -x + o, -7*x = -2*x - 3*o - 44. Calculate the remainder when w is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17 - (-186)\/6) + -13)*32.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from fguugqu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1542497 and 26422.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*s + 4*s. Let u(g) = -7*g**3 - 4*g**2 + g + 2. Let b be u(s). Calculate the highest common factor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 19*i**2 + i. Calculate t(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 25*r**2 + 314*r - 1370. Calculate w(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**2 + 5\/6*i**3 - 2 + 7\/12*i**4 + 2*i. Let g(s) be the first derivative of n(s). Factor g(a).\nAnswer: (a + 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 5, -1\/2, 87\/43, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 9) to base 13.\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -31, -47, -63?\n\"Answer: -16*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(-7))))\/(s\/s**(-1\/3)*s))\/(s**(1\/13)\/(s*s*s**(1\/20))) assuming s is positive.\nAnswer: s**(5959\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(1\/2))\/s)\/s**(-5)*(s\/(s*s*(s\/s**(-1\/10))\/s))\/s*(s**(1\/5)*s)\/s)**(-2\/93) assuming s is positive.\nAnswer: s**(-12\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117656613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t = -12*t + 250. Calculate the common denominator of (3355\/(-770))\/(t\/7) and -61\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, q: 3, f: 2, k: 2}. What is prob of sequence qk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 1. Let i be g(-2). Suppose -5*p + 0*x = x + i, 2*x = -2*p - 2. Let m = 17 + -12. Solve a - m*a = p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320552.\nAnswer: 2, 13, 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*d = 5516619 + 2931381. Round d to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/2 and -113\/700.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 725932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 4}. Give prob of picking 1 t and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*p**3\/3 - 4244*p**2\/3 - 1064*p = 0. What is p?\nAnswer: -3\/4, 0, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88359 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2*m**4 + 4*m**3\/3 - m**2 - 58*m + 110. Find the second derivative of g(o) wrt o.\nAnswer: 48*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 377. Let j(b) = 2. What is -i(d) - 5*j(d)?\nAnswer: -d - 387","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.87 - -34. Let m = t - 0.23. Let k be (-3)\/(2 + 69\/(-12)). Sort k, m, -1\/4 in increasing order.\nAnswer: -1\/4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1447675 and 92825?\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 55*d**3 + 34683*d**2 - 1 + 29572*d**2.\nAnswer: -55*d**3 + 64255*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -5208?\nAnswer: 11\/1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(16\/(-3))\/4. Solve -2*d = -2 + g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 70 - 60) + 1126\/(-188). Suppose -13 = -3*d + 4*x, d + 9 = -0*x - 2*x. Are j and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 - 99*s**2 + 39*s - 28. Is d(-52) a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24006 = -91*y + 28556 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let q(j) = 427*j**2 + 5 - 3 - 654*j**2. Determine o(q(m)).\nAnswer: 51529*m**4 - 908*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u)\/u**(-13\/3))**30 assuming u is positive.\nAnswer: u**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:51 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - -8. Suppose 103 = 5*x - 2. Suppose v - 6*v - 29 = -3*q, -5*v = -2*q + x. What is the greatest common divisor of q and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(-6*91\/168).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233899.\nAnswer: 151, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125513.4 decades to months.\nAnswer: 15061608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1844 = -3*w - 272. Suppose -3*d + w = l, 0*l - 2*l - 8 = 0. Let z = -33 - -49. Calculate the greatest common divisor of d and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -742 + 742. Suppose -2*j - 7*j + 1089 = c. Calculate the greatest common factor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -13. Let b be 2254\/8 + v + 4\/16. Suppose 6*d - 231 = -2*s + d, 5*d + b = 3*s. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**4\/24 - 2*f**3\/3 - 7*f**2. Let v = -9 - -15. Let z be g(v). Solve -2*c = z*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838990350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254145723 divided by -3.\nAnswer: -84715241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57.3 - -58.474. Let n = 1.4845 + -0.0345. Let r = w - n. What is r rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.04 + 22. Let w = v - 0.1. Let p = w + -4.86. Which is the second biggest value? (a) p (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (18 - 6 - 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72817426 divided by 17\nAnswer: -4283378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(24\/(-9) + 3). Solve 3*o = 6*o - f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9315 - -18626. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9)\/(1\/(-9)). Let z(m) = -1 - d*m + m**2 + 0 - 6. Let l be z(5). Solve -w + 0 = l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -44, -90, -158, -254, -384?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 2165.\nAnswer: 252\/2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -22529.\nAnswer: -22529, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.084, 0.4, -22.09, -5, 0.3 in increasing order.\nAnswer: -22.09, -5, -0.084, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 7:30 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/99546 and 95\/9109518?\nAnswer: 428147346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691624464.\nAnswer: 2, 3, 17, 383, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3248024 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 2*l**2 + 37*l + 16. Let u be c(-7). Solve 0*w**u - 1\/2*w + 0 + 1\/2*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 35601.\nAnswer: -5\/11867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in 3, 1\/6, 0.094, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 290, -4, -2, 8820 in increasing order.\nAnswer: -4, -2, 290, 8820","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 4*o - 15. Let f(c) = 4*c**2 - 5*c - 14. What is -5*a(q) + 4*f(q)?\nAnswer: q**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59605*h**3 - 29346*h**3 - 30238*h**3.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.2 + 17.2. What is the nearest to 1.3 in 3\/2, -4, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8362245, 16724496, 25086745, 33448992, 41811237?\nAnswer: 50173480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + n = 4*g + 2, 2*n = 150*g - 148*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201 + -96. Suppose 12*g - y = 5*g. What is the remainder when g is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39976?\nAnswer: 2, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 0.1 (c) -2\/15 (d) 155 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**7))\/o)\/(o\/(o**(-3\/14)\/o)))\/(o*o**(-5)*o)**(-6\/7) assuming o is positive.\nAnswer: o**(-179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 2766828*i**2 + 2766872*i**2 - 2*i.\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12435, -24870, -37305, -49740, -62175, -74610?\nAnswer: -87045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 684841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -7*j - 70. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*o - 7*o. Solve o = 7*y + 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9606 + -9569. Let w(q) = -q**3 + 35*q**2 + 74*q - 2. What is w(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 136*m**2*y**2 - 2556*m*y**2 + 14*y**2 + 2*y - 6071 wrt m?\nAnswer: 272*m*y**2 - 2556*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1493144 divided by 6\nAnswer: 746572\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(-15) + 2)\/((-6)\/(-18))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**2 + 11*q + 9. Let k be (-1)\/3*(-15)\/12. Let x(n) be the second derivative of 0 - 5\/6*n**3 + 3*n - 2*n**2 - k*n**4. Determine 13*x(y) + 6*z(y).\nAnswer: y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47c (base 14) in base 10?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1078413 and 8.\nAnswer: -1078405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (10 + -1) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4162*x**2. Let o(s) = 514*s**2. Give a(o(i)).\nAnswer: 1099583752*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -32, -133, -336, -677, -1192, -1917, -2888?\nAnswer: -4141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -1. Let l(j) = -4229*j**2 + 4230*j**2 + 6 - 9*j + 3*j. Determine l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648, 761, 874, 987, 1100?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 84*b - 83 = -299. What is the closest to -15 in 5, -1, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*f**3)*(2*f + 1 - 15 - 3*f).\nAnswer: -2*f**4 - 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 585505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 50 + 38)*(-g - g + g) + 11 - 9 + 38*g + 79*g in the form d + s*g and give s.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 903?\nAnswer: 22575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*t - 5*t + 4*t)*(-9 - 2*t + 9) + 8 - 8 + 5*t**2)*(3 + 3 - 5).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3689*i - 5*i**2 - 1843*i - 1846*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(-57)\/285.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 451*v - 860. Determine i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 2. Let f be j(7). Suppose -5*b + 6*k = k + 20, f*b + 14 = 3*k. Let l = 1 + -3. Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/9))**(3\/10)*((t*t\/t**(5\/2))\/t)**(-1))**4 assuming t is positive.\nAnswer: t**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-1 - (-3 + 9 + -11 + 4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/37260 and 57\/3220.\nAnswer: 260820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Let a be c\/18 + 2645\/45. Let g = a + -28. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*i + 9061 + 629 = -306 for i.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 - 4*o - 6. Determine k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6 = -45*z + 43*z, 0 = -2*z - 2*p - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 m when four letters picked without replacement from {o: 7, m: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3777*m + 848*m - 5971*m. Let w be z(2). Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-65) + 5 + -1 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5217, 10459, 15701, 20943?\nAnswer: 26185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:56 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113224 (base 5) to base 14.\nAnswer: -1753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.65643 nanoseconds in days?\nAnswer: 0.000000000000563153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 174 = -3*j, 2*z + 120 = 2*j - 6*j. Let p be 4\/(-18) - z\/210. Sort p, -1\/11, 0.2, 3\/7.\nAnswer: -1\/11, p, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19456 = -36*v + 87464. Is v a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001095355 rounded to 7 decimal places?\nAnswer: -0.0001095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*o**4 + 67922010*o**3 + 421114268*o**2\/7 - 52784856*o\/7 + 1552496\/7 = 0.\nAnswer: -194062, -1, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 16. Let y be x(0). Suppose 5*a - 2*b - y = 2*b, -4*a + b + 15 = 0. Sort 0, a, -7 in ascending order.\nAnswer: -7, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806608247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, -5, 1 in ascending order.\nAnswer: -5, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - t - 147, 4*t = 3*i - 156. Let h = -47 + i. Let w(d) = 1. Let c(x) = 2*x - 1. Determine h*w(b) - c(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*z**3 + 3*z**2 + 14*z**3 + 4 - 2*z - z**4 - z**3 - 45*z**3 in the form t*z**4 + m*z + d*z**3 + a + f*z**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(2 - 196\/8). Calculate the highest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(5*(sqrt(20)\/sqrt(4) + sqrt(5))).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2 (c) -2\/9 (d) -64.51886\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 20*g**2 - 2*g + 13. Determine r(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42530 is divided by 10522?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 16*x**2 + 883*x + 11006. Calculate m(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -72. Suppose -5*h = -0*h + n. Let b be (4\/(-1))\/((-4)\/(0 + h)). Let j(q) = q**2 - q + 2. What is j(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5*p**17\/p assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74305548 by -24768516.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-261*o - 252*o + 316*o)*(3*o + 4*o - 4*o).\nAnswer: -591*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157.9 - 165. Let k = s - -7. Let n = 0.1 + -0.1. Which is bigger: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 4*l - 1. Suppose -36 = -2*a + 6*a. Let y be o(a). Let r = y + -28. Calculate the greatest common divisor of 176 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4688 (base 10) to base 3\nAnswer: 20102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 227531358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, and 1 h when three letters picked without replacement from hsfhqsswhhhwhhqqhqq?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8267, -8263, -8261, -8261, -8263, -8267, -8273?\n\"Answer: -v**2 + 7*v - 8273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831162308 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82125673.\nAnswer: 7, 53, 181, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6213 and 2289?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 1. Let j(x) = x**3 + 9*x**2 + 4*x - 16. Let g(c) = d(c) + j(c). Let s be g(-8). Suppose 4*k = 35 - s. Solve k*r = 2*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 9*t - 20*t + 15*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let u(d) = -d**2 - 10*d + 4. Let w(l) = -5*o(l) + u(l). Determine w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 66.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 3:10 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2 - 12. Let x be c(3). Solve x*h + 3 = 7*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvwvw. What is prob of picking 4 v?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 121*o**3 - 9*o**2 + 83*o - 17. Is i(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*u - 230 = -3510 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37368\/22490*(-15)\/(-18)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -0.11. Which is bigger: 2\/7 or v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1436 in descending order.\nAnswer: 1436, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194365.000016 - -194362. Let y = 3 + h. Round y to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 157.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126655.\nAnswer: 5, 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4622964, -9245926, -13868888, -18491850, -23114812, -27737774?\nAnswer: -32360736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1\/4 (c) -2 (d) 0 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (3 - (-6 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 27 - 43 + 16.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111593, -446337, -1004241, -1785305, -2789529, -4016913?\nAnswer: -5467457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -133*s**2 + 672*s + 56. Let z(i) = -7*i**2 + 36*i + 3. Let t(b) = 3*w(b) - 56*z(b). Let k(n) = -3*n**2 + 8. What is k(t(d))?\nAnswer: -147*d**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/9 (b) 0.3 (c) -2477 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 8*o**2 - 12*o + 3. Suppose -g + 3 = -0, 0 = -2*h + 3*g - 21. Let p be n(h). Solve 3*a - 2*a - p = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0282 to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 8 (c) 3 (d) 863276 (e) -5 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/(-20))\/((-3)\/45). Let a = p - 22. Calculate the smallest common multiple of a and 5.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 22. Is c greater than or equal to 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:29 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 5 + 1598*j**3 - 807*j**3 - 811*j**3 to x*j**2 + a*j + w + l*j**3 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 38, 0, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 11:22 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*(sqrt(162)\/sqrt(6) - ((sqrt(24) + sqrt(384))\/sqrt(8) + sqrt(3))) + 0 + -1))**2.\nAnswer: 750*sqrt(3) + 16900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5851*f + 3090 = -5645*f. Let b be 12\/7 + (-4)\/(-14). Calculate the lowest common multiple of (3\/b)\/((-3)\/(-12)) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -156*z**3 - 12*z**2 + 84*z + 51. What is the units digit of b(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000222211010 - 22?\nAnswer: -1000222211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 526*-668.571.\nAnswer: -351668.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 5. Let o be n(1). Suppose y = -y - o. Let f be ((-80)\/(-64))\/((-1)\/y). Solve 2*b + 12 = 2*r, r = -r + f*b + 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.08071 + -4.08071. Let n be ((-16)\/(-10))\/(1\/40). Let k = 446\/7 - n. Which is the closest to t? (a) k (b) -1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1070230 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2468, -2341, -2142, -1871, -1528, -1113, -626?\n\"Answer: 36*l**2 + 19*l - 2523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -223896 and -222.\nAnswer: 49704912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*z + 11 = 0, -4*o + 1 = 3*z - 0. Let u be (48\/(-18))\/(o\/24). Suppose -2*l - u = -10. What is l rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 44. Let m be (36\/l)\/(2 + (-56)\/30). Let v be m\/(-27) - 20\/(-6). Solve 4*r + 12 = v*t, 0*t + 5*t - 20 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145518 is divided by 641.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1125286 by 76.\nAnswer: -562643\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**3 - 1\/12*f**4 + 2 + 0*f**2 - 8*f. Let p(s) = -12*s + 10. What is m(p(d))?\nAnswer: -144*d**2 + 240*d - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7721065*h*u - 561*h - 2878 wrt u.\nAnswer: -7721065*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**3\/7 - 1726*s**2\/7 - 19077*s\/7 - 52110\/7 = 0.\nAnswer: -6, -5, 1737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (358920\/24925)\/(2\/5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 42?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1997, 8003, 18015, 32033, 50057, 72087?\n\"Answer: 2003*w**2 - 3*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 332 divided by -1\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - (4 + -9) - (-17 - -10 - -4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*l - 69, -30 = -2*w + l + 1. Suppose 3*u - 4*g - 1 = 0, -4*u + 0*g + w = 2*g. Factor -3*v**2 - v**3 - 4*v**3 - v**u - v**4 - 2*v**4.\nAnswer: -3*v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5315, -10523, -15731?\n\"Answer: -5208*x - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 1968*h**2\/5 + 954333*h\/5 + 13749134\/5.\nAnswer: (h - 991)**2*(h + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 + 429*d**2\/2 - 198149*d\/3 + 131240.\nAnswer: (d - 255)*(d - 2)*(d + 1544)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-45)\/(-5) - (-477)\/9 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, -7, 230 in descending order.\nAnswer: 230, 5, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 2\/39 (c) 0.7 (d) -2\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3157842977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/95)\/(((-2254)\/(-245))\/23)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2200, -2331, -2542, -2827, -3180?\nAnswer: -3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3 (c) 2612318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1848 and 13580.\nAnswer: 896280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, o: 7}. What is prob of picking 2 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 11. Suppose 5*k + 41 = r, -378*r + 382*r - 28 = 3*k. What is the closest to 0 in 0.2, r, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**5))**(-17) assuming w is positive.\nAnswer: w**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f + 1. Let z(s) = s. What is o(v) + 6*z(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(76) + sqrt(76)*-1 + sqrt(76) + sqrt(76)) + sqrt(76) - sqrt(76)) + (sqrt(76) - sqrt(76)*2)*-1)*2)\/(-2*sqrt(324)*2 - sqrt(324)*1*-2).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/((-13)\/(-117)). Let q be -4*(r\/(-2) + -2). Suppose 0 = q*c - 2818 - 2496. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 6:16 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8104?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 516 = -2*l, 4*l - 246 = -5*i + 791. Does 39 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 354 - 3*o**2 + 794*o**5 - 709*o**5 - 12*o - 315 wrt o.\nAnswer: 5100*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 103 - 3 = 5*s, 5*s = 3*z + 132. Calculate the smallest common multiple of 33 and s.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6 + 345*p**5 + 11852*p**3 + 18564935*p**2 wrt p.\nAnswer: 120*p**3 + 20700*p**2 + 71112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11821574 and 20?\nAnswer: 118215740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2)\/((-5)\/(-10)). Suppose -j + 9 = 2*a, -c*j + 6 = -j. Let s(f) = -2*f + 4*f**2 + a - 5*f - 3*f**2 + 0*f. Determine s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 16*a + 4. Let f(u) = -u - 1. What is -2*f(w) - h(w)?\nAnswer: -14*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 165.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 2*i - 3*i)*(-4409 + 1742 - i + 1670) as k + v*i + s*i**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/25))**38\/(s**3\/(s\/s**(8\/7))) assuming s is positive.\nAnswer: s**(5834\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 - 60*u + 153. Let g be r(17). Sort -221, g, 1.\nAnswer: -221, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z - 10 = 0. Suppose 3*c - z*o = -3*o + 9, -c + 3 = o. Suppose -s + m + 0*m = -165, -c*m = 4*s - 688. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 349*m**2 + 58*m - 871. Is r(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.8. Suppose -4*t + 6 = -2*t. Suppose -t*u + 8 = 5. Do j and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y + 9. Suppose x + 3 + 6 = -c, -x = 5*c + 29. Is t(x) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + 0.7. Let l = x - 17.5. Let a = l - -15.9999953. Round a to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-70)\/(-8)) + 142244\/301. What is the greatest common divisor of 413 and j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -431.1 and -12894633?\nAnswer: 12894201.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + t**3 + 3*t**3 - 3*t**3 + 3*t**3.\nAnswer: 4*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 35 = 3*c. Suppose 0 = -16*q + 11*q + c. What is the greatest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 6:44 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 7)*(2*z + 2*z**2 - 2*z) + (12 + 4*z - 12)*(6*z - 14 + 14) - 2*z**2 - 1 + 1.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74)\/(-8) + 9\/12. Suppose 0 = -4*a + 2*u - d, 19 = -2*a - 2*u - 1. Sort 1, a, 5.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164587916?\nAnswer: 2, 41146979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76084c (base 13) to base 11.\nAnswer: -1623579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3750 + -1680. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 4*m + 25. Let h be f(-7). Let w be (-3 + 1)\/((-5)\/8) - 2. Let -3\/5*x + 3\/5*x**3 + 0 + w*x**2 - 6\/5*x**h = 0. What is x?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 1.4, -1\/6, -9.84 in decreasing order.\nAnswer: 1.4, 0.6, -1\/6, -9.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y - 6. Find the second derivative of -3*t - y*t**3 + 5*t**3 - 4*t**3 wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m + 546*m**2 - 302*m**2 - 264*m**2. Let o(f) = -4*f. Give o(i(u)).\nAnswer: 80*u**2 - 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121.07 + -117.07. Sort -2.9, 2\/13, j, 3, 5.\nAnswer: -2.9, 2\/13, 3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5201369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 - 3*m**2 - 4*m - 2. Let d be j(-2). Suppose v = -2*v + d. Let q(c) = c**2 + 2*c - 3*c + v*c**2. What is q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20714 by 10357.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -1057, -3598, -8519, -16600, -28621?\nAnswer: -45362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*j**2 + 14*c**2*j - 4*c**2*v - 2783*c*j**2*v + 3*c*j + 2*c*v - 19*c wrt j?\nAnswer: 8*c**2 - 5566*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 30 = 0. What is the units digit of ((-258)\/d)\/(1\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 885610*x**2 - 39214367980*x + 78432278440.\nAnswer: -5*(x - 2)*(x + 88562)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ztzzzzzztzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*f**4*v - a*f**3 - 31*a*f**2*v - 73*a*f*v + 343*f**3*v wrt f.\nAnswer: 48*a*f*v - 6*a + 2058*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232792, -931134, -2095038, -3724504, -5819532, -8380122, -11406274?\nAnswer: -14897988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22 - 75*k**3 + 35*k**3 - 160*k - 58 - 120*k**2 - 5*k**4.\nAnswer: -5*(k + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6490, -12975, -19444, -25891, -32310, -38695?\n\"Answer: q**3 + 2*q**2 - 6498*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**5 + 11*f**5 + 0*f**5 + (f**3 - f**3 + 2*f**3)*(3*f**2 - 2*f**2 + 2*f**2) - 4*f**4 + 4*f**4 + 3*f**5.\nAnswer: 15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*w - 8 - 65 - 383. Let d(y) = -y**3 + 13*y**2 - 9*y - 30. What is d(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2800, -5141, -7482?\n\"Answer: -2341*s - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-12)))\/b**(1\/5))\/(((b*b**(3\/14))\/b)\/b*b*b*(b\/(b**(-10)\/b))\/b) assuming b is positive.\nAnswer: b**(-29\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27088 and 74559720?\nAnswer: 149119440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/2 + (-4)\/12. Suppose 8*d = 59 - 19. Suppose 2*u - 6*p = -3*p - 19, 0 = -3*u - d*p + 19. Do u and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 316, 381, 424, 433, 396, 301, 136, -111?\n\"Answer: -2*w**3 + w**2 + 76*w + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 15306174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236*i - 3 + 4 + 2167*i - 2*i**2 + 106*i to the form p*i + a*i**2 + o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppxi when four letters picked without replacement from yypxyiiyxiypyyy.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0079? (a) 3 (b) -1\/7 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.5 and -500?\nAnswer: 497.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:53 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1798 by -13316.\nAnswer: -899\/6658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*x - 6*x - 22, 2*x + 3*r - 11 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 - 3*f**2 + 4*f + 5. Suppose 9 = 6*i + 3*i. Let p(q) = q**3 + q + 1. Let t(m) = i*c(m) - 4*p(m). Give t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7913, 15742, 23517, 31250, 38953, 46638, 54317, 62002?\n\"Answer: 2*p**3 - 39*p**2 + 7932*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*i = y - 15, 0 = 10*i - 3*y - 111 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*d, -6*c = 2*d - 3*c. Suppose h + 3*j = -10, 0*h - 3*h - 3*j = d. What is the third derivative of 2*b**6 + h*b**3 + b**2 - 5*b**3 wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 3. Let m(x) = 7*x - 2. Give -5*g(t) - 4*m(t).\nAnswer: 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 4. Suppose -t = -p*z + 151, t + t = -3*z - 274. Let r = t - -297. Calculate the highest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71, -146, -221?\n\"Answer: -75*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10015 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddowdwf. What is prob of sequence fod?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3898*l**3 + 15*l + 32 wrt l.\nAnswer: 23388*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {j: 1, l: 1, w: 1, h: 1, e: 2, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.4. Let o = -0.04 - -0.44. Let g = 0.09 - -0.91. What is the closest to b in g, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01765 times 0.5?\nAnswer: -0.008825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**3 + 2*f**4 + 0 - 2 + 2*f**3 + 3*f**2 + 3*f**3 in the form v*f**2 + h*f**4 + u + k*f + t*f**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-6 - -5) + -4 + 15 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1029 and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -32. What is the remainder when t is divided by -2 + 12 + 1 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351426 to the power of 1\/2, to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/3108)\/((-1)\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728512860?\nAnswer: 2, 5, 86425643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -359*m + 350*m + 49500. List the prime factors of m.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2 + 272*w - 9248 = 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9662355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5779 is divided by 111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2541)*-2*4)\/((1*sqrt(27))\/sqrt(9) + sqrt(3) + sqrt(27)*6 + sqrt(3)).\nAnswer: 88*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*y + 1, 1728*n - 1731*n - 2*y = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 + 39*c**2 - 35*c - 39. Is 20 a factor of b(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 649 - 644. Suppose -v = -3*k + 45, 0 = -m*k + 11 - 1. Is -44 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:50 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, w: 1, s: 2, b: 4}. Give prob of picking 2 b and 1 s.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5072636 by -6.\nAnswer: -2536318\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1213 and 1025.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10802 and 37979.\nAnswer: 410249158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.215805g to micrograms.\nAnswer: 7215805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9301 a factor of 3843325165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/20 - r**3 + 5*r**2\/2 - r. Let w(d) = -3*d + 1. Let n be w(-1). Is p(n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -117, -232, -347?\n\"Answer: -115*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26578900 to the nearest 100000.\nAnswer: 26600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251608861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let n(t) = 641786219*t**2. What is s(n(i))?\nAnswer: 1283572438*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -746*g**3 - 22*g**2 + 13*g - 121. Is d(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 627*z - 13160 = 366*z for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.2 - 14.199943. What is k rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 14.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)*l**13*l**(2\/45)\/(l\/(l*l**(-1\/4)\/l*l*l)))**(5\/3) assuming l is positive.\nAnswer: l**(683\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = 2. Sort 3, 0, b in increasing order.\nAnswer: 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - 31*w - 29. What is the remainder when 7404 is divided by k(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/19 or 0.1802676?\nAnswer: 0.1802676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d - 115475 = -433559. Suppose 15881 = 5*s - d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.1471 rounded to 1 dp?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(8\/10*(-20 + 15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2*m**4\/13 - 62*m**3\/13 + 23*m**2\/13 + 919. Determine l, given that s(l) = 0.\nAnswer: 0, 1\/4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78214481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1078 and 47\/96334?\nAnswer: 1059674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 10. Which is the third smallest value? (a) -1 (b) z (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 2\/3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 - 31*i**2 + 40*i + 13. What are the prime factors of t(17)?\nAnswer: 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189914 is divided by 10106?\nAnswer: 8006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) 4 (c) -2 (d) -897\/5 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397395 is divided by 1132462.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oifq when four letters picked without replacement from {i: 2, d: 4, q: 6, f: 3, o: 2}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 353 - 17*x + 253.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*-3*(-91)\/39.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 + -103. Suppose -48 = -o + 5*f, -4*o - f + 109 = -x. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571167*z**2 - 1713788*z**2 + 571175*z**2 + 571448*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 - 98 - 11*z + 12*z + 14*z to the form i*z + x and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/9 and 14\/135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m**2 - 19 + 47115*m - 47115*m + (m + 0 + 0)*(0*m - 3*m + m).\nAnswer: 6*m**2 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i + x - 6 = 0, i = -3*x + 2. Suppose -11*p = -i*p - 1836. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (175\/10*-2 - 1)*45\/(-135)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*z + 96*z + 118 + 52*z with respect to z.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x**2 - 2*x - 3. Let q be u(-3). Suppose 7*p + 14*p = 546. What is the greatest common divisor of q and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.08 - 23.08. What is the nearest to 1 in 3, -0.5, g, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 72*v**2 + 4*v + 298. Let o = 34 - 12. Calculate the least common multiple of o and k(-72).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**4\/8 + v**3\/3 - v**2. Let z(b) = -b**2 - 7*b + 41. Let r be z(-10). Suppose 0 = -r*o + 9 + 24. Calculate j(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -747*v + 5*v**2 - 6 - 4*v**2 + 746*v. Let y be q(-2). Suppose 3*m + y*m - 389 = 2*p, -4*m - 3*p = -547. List the prime factors of m.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7961 or -7968?\nAnswer: -7968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v - 30. Let y be l(-6). Let z be (4 + y)*(-5)\/10 - -6. Solve t = -5, 5*m - z = -0*m + 5*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25917217.\nAnswer: 1447, 17911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 140\/(-2)*-1. Let r(v) = -20*v - k*v - 158*v. Let o(i) = -2*i**2. Calculate r(o(d)).\nAnswer: 496*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 573168096 to the power of 1\/3, to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + q = 6*q + 34, 41 = -a + 2*q. Let z = a - -27. Let t = 78 + z. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 51, 155, 353, 675, 1151, 1811?\nAnswer: 2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23232)\/(-26) + (-246)\/(-533)?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 77 - 331 = 54*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -42\/11, -0.07, 3\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3192 divided by -56\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 23*s**2\/2 - 104*s + 1752. Determine y(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.33 - 2.43. What is the nearest to l in 1, -5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10383\/8, -2640 in increasing order.\nAnswer: -2640, -10383\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 243889963 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3296 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 1204919*b\/2 + 1451829796561\/4.\nAnswer: (b + 1204919)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*o - 2. Let i = -1539 + 1544. Solve i*r = 5 + 5, o*r = 5*y + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 3*q + 2. Let l be m(-3). Let s be 1\/l*(6 + -6). What is the closest to 1 in 3, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2876978 and 3978.\nAnswer: 25892802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*u + 4 - 20, 0 = p + 4*u + 21. Let f(k) = -26*k**3 - 1. Let n be f(p). Suppose -5*x + 45 = 2*t, 3*x + 5 = -t + n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 8.3. Let r = 0.024077 - -0.375923. What is the third smallest value in r, 1, n, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 9 - j - 66 + 17 - 1.\nAnswer: 2*j - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 75*h - 76. Let m be n(35). Suppose 0 = 4*p - 3*r - m, -p + 3*r + 10 = -17. Calculate the highest common divisor of 18 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 29250?\nAnswer: 87750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 8 = 4*l, -l - 6 = -4*l - 2*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppw when three letters picked without replacement from zpwzzpwpwzwpwww?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 - (8 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 2, -2\/51, 0.4, 4 in descending order.\nAnswer: 4, 2, 1, 0.4, -2\/51, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4317601*j - 2808. Let k be h(-8). Round k to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -14*l - 208. Let z be t(-16). Let y be (-16)\/3 - (-4)\/(-6). Let v = y + z. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-15 - -2 - -50) + (-18 - -6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -1, -10, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 3*a**2 + 2. Let k = 23 + -20. Let x be c(k). Suppose u - x*u = -21. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 184? (a) 0.2 (b) -4 (c) 6\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.71653 and 16?\nAnswer: 26.71653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 66*i. Let h(u) = 7*u**2. What is j(h(a))?\nAnswer: 462*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8200*m + 196835. Give q(24).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/5 - 6355791*h\/5 - 2542314.\nAnswer: -3*(h + 2)*(h + 2118595)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732919?\nAnswer: 11, 66629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -5*c - 5*x, -3 = -2*c - x. Which is smaller: c or 1\/649?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p + 1. Let u(k) = 7*k + 11*k**2 - 4 + 4*k - 17*k + 4*k. Calculate u(n) + 4*z(n).\nAnswer: 7*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -67*i - 7. Let c be h(-2). Let q = c + -201. Let f = 6 + -79. Is f less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 + 34*u - 1. Let q be k(5). What are the prime factors of (-9)\/3*(-2)\/(q\/(-443))?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (768\/(-3) + 2). Let a = -734\/3 + f. Calculate the common denominator of a and 5\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*w - 2*w + w)*(-7 + 2 + 3) - w + 5*w - 3*w)*(2*w**3 - 5*w**3 + 0*w**3) in the form u*w**4 + a*w + i*w**3 + v*w**2 + m and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -16*n**3 - 5*n**2 + 2*n + 7. Is u(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(49)\/sqrt(7)))**2 + sqrt(208) + -5.\nAnswer: 8 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(p**2 - p**2 - 2*p**2).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, u: 1, i: 1, l: 2, z: 1, s: 2}. What is prob of sequence usip?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20794 times 2?\nAnswer: -41588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21400 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1312 - -1365.1. Let f = p + -53. What is the closest to f in -2\/25, -0.2, -5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 120 = -8*c. Let q be (1\/(-2))\/((-2)\/(-24)). Let s be q\/4*c\/9. What is the greatest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*s**4 + 2*s**2 + 164*s.\nAnswer: -684*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*-1*(-78)\/(-10). Suppose 4*p = 5*j + 117, 6*p + 4*j - 49 = 3*p. Let w = d + p. Which is the third smallest value? (a) -3 (b) w (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 59 = -85 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2019*t + 2190*t - 1001*t + 440*t.\nAnswer: 3648*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 1520*a = -1524*a + 22 - 0, 3*x - a + 22 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -14, 0.5, -2, 840?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-19 - -35))\/(-8)*174\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:29 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27086.46 - -26678. Let n = m + 402. Let p = n + 0.36. Round p to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2068\/(-47) - -50 - -11) + (-176)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638200.8ug to tonnes.\nAnswer: 0.0000006382008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 3*z + 2*z + (2 - 1 + 0)*(0*z - z + 0*z) + 3*z - z - z + (-5*z + 4*z + 0*z)*(0 - 2 + 1) + 0 + 0 + z to m + b*z and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*z - 486 = 54*z. What is the lowest common multiple of z and 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 563a46?\nAnswer: -563a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2738, 8234, -0.1 in ascending order.\nAnswer: -0.1, 2738, 8234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1104, 4429, 9962, 17697, 27628, 39749, 54054?\n\"Answer: -c**3 + 1110*c**2 + 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**3 - 4*g**4 - 4*g**3 + (-g + 3*g - 4*g)*(-2*g - 2 + 2)*(0*g**2 - 12*g**2 + 3*g**2) in the form x*g**2 + v + z*g**3 + h*g**4 + u*g and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540939440 to the nearest integer?\nAnswer: 23258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5634)\/(-12) + 1 + (-2)\/4. Let q = 22 - 14. Suppose -4*d = -q, 5*x = x + 5*d + m. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14273.6 - -14275. Which is the nearest to -0.1? (a) x (b) 3 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2892122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -27*c**2 + 300*c - 39. Calculate g(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 123.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 925020 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(-8) - (-1)\/(-4). Let v be 28\/i + 2\/5. What is the third derivative of 4*r**2 + 0*r**6 + r**6 + r**v + 0*r**2 wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*q + 1 + 12, 2*f + 17 = 5*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/(-2)*48\/(-18). What is the greatest common divisor of 130 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1083516 (base 9) to base 14\nAnswer: 113a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c - 1?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)\/l*l*(l*l**(-5\/2))\/l*l*l)\/(l**(1\/13)*l\/(l*l**1)*l) assuming l is positive.\nAnswer: l**(11\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11484 and 17622.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**3 - 13*j**2 - 29*j + 192. Calculate s(5).\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:31 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 6*o**4 - 3*o**4 + 3*o**4 - 2*o**4 + o**4 + (4 - 4 + 2*o)*(3 + 2*o**3 - 3) - 4*o**4 + 2*o**4 + 3*o**4 + 3*o**3 - o**4 - 3*o**3.\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 32*m - 183. Let c be v(6). Let r(q) = q - 4. Let x be r(7). Differentiate 6 + x + c*z - 1 with respect to z.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121707 = 121709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14449\/118 + -245\/2. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3190, 12734, 28632, 50878, 79466, 114390, 155644, 203222?\nAnswer: 257118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 1220, 1831?\nAnswer: 2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4956692.\nAnswer: 2, 13, 199, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19433 is divided by 526.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110887 and 220158218?\nAnswer: 15841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 42397454 and 42397452 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, i: 1, e: 1}. Give prob of sequence viv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 8*y**2 - 7*y - 7. Let u = 127 + -136. What are the prime factors of l(u)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 14*v - 17*v. Let m be (-2)\/6 - (-19)\/57. Suppose m = v*c + 72 - 386. List the prime factors of c.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-w + 73*w**4 + w).\nAnswer: -73*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4916\/13, -5\/2, -5?\nAnswer: -4916\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -354\/7 - -50. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzziz. What is prob of sequence zi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + (141 - 144)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-9)\/6*1). Let j be (-33)\/(-9) - p\/(-3). Suppose -m + 8 = m. Are j and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 36 = 0. Let u(x) = 12 + 5*x**3 + x**3 + 6*x - 6*x**2 - t - 5*x**3. Determine u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 4*r**2 + r + 10. Let l be c(-4). Let i(d) = -d**3 + 7*d**2 - d - 5. What is the units digit of i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.5 (c) -0.1 (d) 337\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28864.04 litres to millilitres.\nAnswer: 28864040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0*o**2 - 1\/360*o**6 + 13*o + 1\/8*o**4 - 1\/60*o**5 + 0 - 4\/3*o**3. Let t(n) be the second derivative of z(n). Factor t(j).\nAnswer: -(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 1 - 12*r**4 - 2*r**3 - 15*r**4 + 360*r**2 + 8*r**4 - 361*r**2 - 11*r to b*r**2 + c*r + j + g*r**3 + p*r**4 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -884571, -884580, -884589, -884598, -884607?\n\"Answer: -9*h - 884562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.9429119 rounded to 0 decimal places?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107\/124 - 292341\/338644. Let d = -161143\/38234 - h. Let i = -929\/154 - d. Calculate the common denominator of i and 93\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16866 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let t be f(-3). Let q be -8*(0 - (0 - -1))\/2. What is the greatest common factor of t and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 18 - 8. Let p be 3\/12 + o\/(-4). Let g = 7 - 6. What is the biggest value in -1\/7, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0, -4, 2063.\nAnswer: -4, -1, 0, 3, 2063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*h. Suppose 12 = c + 5*g, 0 = c - h*c + 4*g - 4. What is the third derivative of -2*n**3 - 3*n + 3*n - 4*n**c wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1 + -8 + 7. Let y = 1 + u. Solve -l + h = -7, y*l - 3*h - 17 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3301424, -4 in descending order.\nAnswer: -4, -9, -3301424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 26 = -194*m + 191*m, -3*l + 5*m + 50 = 0. Solve 5*p + 3 = -l*r + 8, -3*p - 21 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - 5*d + 0*d + 3*d + 7*d + (0*d + d + 0*d)*(-4 + 5 + 1) + 3*d - 2*d + d - d - d + d)*(-d**2 - 2*d**2 + 2*d**2)*(2*d - 3 + 3)*(4 - 5 - 3).\nAnswer: 88*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -31. Suppose s - 3 = -2*m, m - 4*s + a = 9. Let u = 0 + 0. Solve h - p = -m - u, p = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-10) - -2 - (-4)\/5. Let y be (-66)\/22*(4\/(-6) + x). What is the tens digit of y\/(-5) - 1527\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 2 + sqrt(1573) + 1 + 5) + -3.\nAnswer: -55*sqrt(13) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 0, 7*s - 2*s - 18 = 4*f. Suppose -3*m + 657 = -2*y - 26, -5*m = 3*y - 1113. What is the remainder when 51 is divided by m\/18 + (-1)\/f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 36 = 4*d, -2*s + s + 5*s - 5*d = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684 - 65*v**2 - 88 - 7*v - 596.\nAnswer: -65*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 26a?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 55*u**5 - 5*u**4 + 20*u**2 - 5*u. Let s(i) = i**4 + 2*i**2 + i. Let z(g) = -2*k(g) - 10*s(g). Find the third derivative of z(l) wrt l.\nAnswer: -6600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 33*y - 6. Let w be u(-14). Let l = 14 + -6. Calculate the highest common divisor of w and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvuxvabaauvg. Give prob of sequence bxag.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/5 - t**3\/2 + 18*t. What is the second derivative of p(n) wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/511 in -2\/15, -1, -3, 0, -1\/47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -126?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*s**2 - 363*s**4 + 48545*s + 2 - 48545*s wrt s?\nAnswer: -8712*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 45 = -35 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 1. Let i(x) = -3*x**2 - 28*x + 12. Let o(v) = -i(v) + 2*s(v). Let r be o(-11). Which is the nearest to -0.1? (a) 7 (b) -2\/5 (c) 1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 10*i - 42. Let m be o(-13). Let b(n) = -2*n**3 - n**2 - 4*n - 7. Let s be b(m). What is the greatest common factor of s and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(((b*b\/(b*b**(-2\/11)))\/b)\/b)*b**(-6))**30 assuming b is positive.\nAnswer: b**(-1050\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 + 12336534*t + 12682505927763 = 0.\nAnswer: -2056089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045.8 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -11*y**6\/3 + y**4\/4 + 2*y**3\/3 + 2*y - 515. Find the third derivative of n(x) wrt x.\nAnswer: -1320*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -174. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018581 rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (25955\/41412)\/((-30)\/(-6)) and 11\/1190.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 + 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 - 56. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 193*o**2 - 835*o - 9229. What is n(-197)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*m = 53 - 219 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 3. Let s(c) = c - 1. Let a(q) = 4*s(q) - t(q). Calculate the least common multiple of 2 and a(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4 + 1654*w**3 + 346070*w**2 + 1695786*w + 1351368 = 0?\nAnswer: -411, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 20 = 0, 2*p - 3*w = -2*p + 176. Suppose -2*r - p = -9. What is the units digit of r\/(-2) - 1\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 49 + 25 + 14)*(-35*y + 35*y - 26*y**2)*(-y**2 + y**2 + y**2).\nAnswer: -468*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 5305*p**2 - 21285*p + 15975.\nAnswer: 5*(p - 3)*(p - 1)*(p + 1065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28367098 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.8 - 0.2. Let w = -18.91 - y. Round w to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 + 98 - (-5 - -9) - (-1 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6272 = 3*y, 4*d - 5*y = 6521 + 6001. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2040*p = 4*j - 2041*p - 40, -4*p - 50 = -5*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 19*w - 27. Suppose 0 = -35*u + 42 - 83 - 99. Give g(u).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*6\/18)\/1. Solve 5*b - 15 = p, 4*p = -w*p - 4*b + 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, 13, -3, 5, -4, -8, 3 in decreasing order.\nAnswer: 172, 13, 5, 3, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -434 * 40.\nAnswer: -17360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 + -90. What is the highest common factor of 32 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12963237 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 21. Let r(w) = -1. Calculate -5*r(v) + y(v).\nAnswer: v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39795976 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8657, 17314, 25971?\nAnswer: 34628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 71*p + 268. List the prime factors of f(7).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1. Let s(p) = p**2 + 2. Suppose -5*n = -5 - 15. Let g(r) = r + 4. Let c be g(3). Suppose 2 = -m + n*b, 0 = 4*m - c*m - 2*b - 6. Give m*s(l) + 2*x(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-8 + 11 + (-9 - 2) - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and (-4 - -18) + 4\/((-2)\/1).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71272 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*l + 95, -12*v + 7*l + 102 + 31 = -13*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62265 rounded to the nearest one hundred?\nAnswer: -62300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-1)\/((-30)\/(-130))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 0 + 0\/1. Let k = b + -2. Solve k = -2*n - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386*h - 7640 = 431*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 49. Let g(y) = 2*y**2 + 33*y + 19*y - 52*y. Determine g(f(k)).\nAnswer: 2*k**2 - 196*k + 4802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 15*d + 0*d**3 + 11\/6*d**4 + 0 - 17\/30*d**6 + 0*d**2 + 0*d**5. Find the third derivative of r(v) wrt v.\nAnswer: -408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.1. Let u = -0.8667 + 0.3667. What is the closest to k in 0.3, u, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/25)\/(4\/(-360)). Calculate the highest common divisor of x and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*k + 408 = -450*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 33. Is 3 + q + 0 + -1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/48850 and -18\/5213.\nAnswer: 254655050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177 and 61478?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 + 213. Let h = u + -66. Suppose -h*a + 638 = -428. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + -71 + (36\/(-48) - 37\/4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/3)\/((-62)\/93) - 34. Sort 2, h, 4, -4 in ascending order.\nAnswer: h, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -21*r. Let z(j) = 2*j**2 + 8*j + 4. Let g = -8 - -12. Let f(d) = 2*d**2 + 6*d + 3. Let m(h) = g*f(h) - 3*z(h). Calculate v(m(c)).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Let x be (0 - -1)\/((-4)\/(-8)). What is the third derivative of 2*l**2 + x*l**5 + 2*l**5 - f*l**5 - 3*l**6 wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 6*u**2 - 6*u - 6. Determine m(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(19\/4)\/s)\/(s\/(s\/s**(-17))*s*s))\/(((s\/s**(-1\/21))\/s)\/(s\/s**(2\/9))) assuming s is positive.\nAnswer: s**(4909\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*(2 - -24). Let v = 6 - m. Calculate the remainder when 56 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**4\/12 + 5*v**3\/3 + 7*v**2\/2 + 4*v. Let c(i) be the first derivative of a(i). Let f be c(5). Solve f = t - 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-8))\/((-12)\/(-720)). Let i = 27532 - 605809\/22. Find the common denominator of i and (3\/d)\/(36\/(-2727)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 20*x + 5*x + 6864. What is the highest common factor of 23400 and x?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n + 66. Let t be f(-11). Solve l + t - 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 193172220 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + m - 3 = -6, -2*m - 2 = -2*r. Suppose f - 2*n = 14, -r = -2*f - 3*n - 2*n. Solve -4*b + 2*b = f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 2*z + 8*z - 5*z + 11 + 6 as b*z + n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 36.9. Put m, -0.1, 0, 4 in decreasing order.\nAnswer: 4, m, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 2*n + 2*n - 35, 30 = 5*m + 3*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 19*o**2 + 18*o + 531. What is y(-20)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 6*p - 8. Let z(c) = 2*c**2 - 12*c - 16. Let g(d) = 13*u(d) - 6*z(d). What is g(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/4288 and 79\/1474?\nAnswer: 47168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102684851 to the power of 1\/2, to the nearest integer?\nAnswer: 10133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472\/(-42)*(-365)\/24820 + 2\/(-17).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*u + 2*u + u)*(u**4 + 3*u - 3*u) + u**5 + 4*u**5 + 0*u**5 - u**5 + 3 - 3)*(-3157 + 3609 + 3078)*(-1 - 3 + 2).\nAnswer: -14120*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Suppose 0 = -d*j, -l - 16 = -3*l + 4*j. Suppose -3*f + 1 + 6 = 5*z, -2*f + l = 0. Is z bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 204, 278, 338?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 5:40 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*b + 204*b + 199*b - 601*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 (base 12) in base 13?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*o**3 + 4*o**2 + 753 + 0*o**2 - 1518 + 760 - o**2 in the form y*o**3 + h*o + u*o**2 + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, a: 1, e: 1, p: 9}. What is prob of sequence epl?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)\/x*x\/((x*x*x*x\/(x**(-1)\/x))\/x))**(-2\/69) assuming x is positive.\nAnswer: x**(28\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 17*a + 55. What is l(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*b**5 + b**5 + 0*b**5 - b**5 - 2*b**5 + b**5 + (-b + 2*b + 0*b)*(-4 + 4 + 3*b**4) + b**4 - b**4 - 2*b**5.\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 3 - -4) + -63. Let u be 2\/(-12) - g\/12. Suppose -2*d = -5*w - 3, d + 3*w = 2*w + u. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 874*f**2 + 156*f + 2092*f**2 + 60*f - 241*f**2 wrt f.\nAnswer: 5450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4 + (3 + 3 - 5)*(1 - 2 + 3))*(g - 6*g + 3*g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20231*f + 18*f**3 - 20231*f + 2*f**2 + (f - 4 + 4)*(-f**2 + 5*f**2 - 2*f**2).\nAnswer: 20*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 20*b**3 - 2 + 1.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14.8*-1.134\nAnswer: -16.7832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -196\/265 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 110, 97, 80, 59?\n\"Answer: -2*d**2 - 7*d + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (-3 - -3))\/1. Let m be (-4 - j)*4\/24. Which is greater: -2\/5 or m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233902886 to the power of 1\/2, to the nearest integer?\nAnswer: 15294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, and 1 t when three letters picked without replacement from {f: 1, n: 2, t: 3, q: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine fifths of a day?\nAnswer: 8352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-7\/4)))\/(s\/s**(-1\/2)) assuming s is positive.\nAnswer: s**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473 = -5*i + 167. Let w(f) = -3*f - 1. Let l be w(-5). Let b be (-4)\/l - (-228)\/14. What is the greatest common divisor of b and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2903222 is divided by 17921?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7439303.19 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1303*i - 679*i - 481 - 5*i**2 - 622*i to the form j + z*i**2 + s*i and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5551 + -5543. Let s(f) = f**3 - 2*f**2 - 2*f + 1. Let l be s(3). Find the second derivative of 31 - a*b - 2*b**l - 31 wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.12152.\nAnswer: 0.36456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-15 + (-5740)\/(-385))\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13432692 is divided by 1904.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 7*s + 0*s - 86 - 6*s.\nAnswer: s - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + z**3 - z**3 + (z**2 + z**2 + 0*z**2)*(45 - 41*z**3 - 45).\nAnswer: -83*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 7, r: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + sqrt(75)*1 - sqrt(24)\/sqrt(2).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0 - 1\/12*c**4 - 3*c + 0*c**3 + 0*c**2. Let p(t) = t - 2*t - t. Calculate j(p(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 3*r**4 - r**4)*(3*r - 3*r + 7*r) + (1 - r**4 - 1)*(r - 2*r + 4*r)*(-10 + 13 + 13).\nAnswer: -41*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 + 26*u + 1. Let h(i) = -3*i**2 + 25*i + 2. Give 3*h(w) - 2*q(w).\nAnswer: 3*w**2 + 23*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10223 + 10226. Determine h, given that -3\/2*h**3 + 3*h**2 + 3\/2*h - i = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 52*m - 4. Let u be l(2). Determine k, given that 6*k**2 - 5*k**2 + 3*k**2 + 0*k**2 + 40*k + u = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 + 3030760*b - 6061504 = 0. What is b?\nAnswer: 2, 757688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64, 79, 94, 109?\n\"Answer: 15*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23856416 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -59990*h - 2. Let u be a(-1). Let c = u - 7318599\/122. What is the common denominator of -7\/16 and c?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence del when three letters picked without replacement from {l: 2, o: 1, t: 1, d: 1, e: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2. Let y be r(-4). Suppose w - 2*w + 2 = y. Suppose 3*m - w = 7. Let z(h) = -h + 2. Calculate z(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -755 - -1349. Let l = a + -341. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 2. Let d = -8 - -4. Let k(x) = -x + 1. Let h(b) = d*k(b) + 2*n(b). Let p(j) = -5*j - 4*j + 6*j + 4*j. Determine h(p(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - 14*y**2 + 144*y - 731. Give f(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 - -15) + 1\/(-1) + 742. Round b to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -49, -88, -133, -184, -241?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8136, -39390, -124208, -289368, -561648, -967826, -1534680, -2288988?\n\"Answer: -4463*g**3 - 4*g**2 - g - 3668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112722292 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 7:00 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 3:58 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = 6*l. Let x(o) = -4*o**2 + 2*o - 1. Give x(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:43 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 398, -30\/11, 3?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 2*p**6\/15 - 27*p**5\/10 - p**4\/6 - 15*p**3\/2 - 84*p. Find the third derivative of s(i) wrt i.\nAnswer: 96*i - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-12))\/(12\/9). Let w be 129\/78 - q - 14\/21. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236711 (base 8) to base 12.\nAnswer: -3b0b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78\/12 + 1\/(-2). Let w = o + -6. Suppose 4*a - 4*v - 46 - 2 = w, -40 = -4*a + 2*v. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*f - 20 + 5, f - 123 = -5*b. Let v(y) = b*y - 11*y - 13*y - 16*y**3. Calculate v(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 475137.4 decades?\nAnswer: 57016488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/9 (b) -0.1 (c) -1393852\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14403, 14380, 14355, 14328, 14299, 14268?\n\"Answer: -w**2 - 20*w + 14424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t + 5*t + 580 = 220 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 - 12*r**2 - 9*r + 3. Let p(l) = -3*l**3 - 12*l**2 - 8*l + 4. Let o(n) = 4*h(n) - 3*p(n). Factor o(t).\nAnswer: -3*t*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (205\/246)\/(1\/6). Suppose 0 = y + 3*y. Let x(q) = y + 3*q**3 - 6 + 6*q**2 - 4*q**3 - 2*q. Calculate x(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.07 + -0.07. What is the second smallest value in 4\/3, -4\/7, k?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 10, -42*y = -43*y + m - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126536919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8555 - 8555.5. Put 1\/240, 0.2, s, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.2, 1\/240, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22032, 22015, 21994, 21969, 21940?\nAnswer: 21907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-8))\/((-2)\/(-40)). Let v(l) = 3 - g*l + 3 - 6. Let i(t) = -2*t**2. Give v(i(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 2. Let p be h(5). Suppose 3*c - 5*c = 3*b - 27, -2*c + 2*b + 42 = 0. Calculate the highest common divisor of p and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-5)\/((-20)\/(-344)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 17*u + 29. Give h(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -359 - -369. Does 37 divide (18\/48 + t\/16)*213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3744 and 1728.\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 802798*b**3*x - 5*b**3 - 11952*b**2 + 5*b + 2*x**4 wrt x.\nAnswer: 802798*b**3 + 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {p: 3, d: 6, m: 8}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -30*o - 115. Let a be y(-4). Suppose -4*x + 0*x = -a*d + 2133, -864 = -2*d - 2*x. What are the prime factors of d?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(2*(-22)\/4)\/((-3366)\/(-26928))\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - 3*t**2 + 2*t**2 + (-2 - 3 + 3)*(0*t**2 + t**2 - 3*t**2))*(-1 + 9 + 7)*(-3*t - 4*t + 5*t) in the form m*t**2 + x*t**3 + o*t + v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(((sqrt(66)*2 - sqrt(66))\/sqrt(6) - sqrt(11))**2 + sqrt(11)) + -5.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 30*h + 4 = -3*j, 2*h + 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 + 0*s**2 - 3*s**2. Let z(x) be the first derivative of -x**4\/12 + x**2 - 1. Let w(u) be the second derivative of z(u). What is w(q(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aall when four letters picked without replacement from dtlltaivaat?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - o + 0*o + 4*o + 18*o - o.\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 56 = -19. Suppose -t + 21 = h, -5*h + z = -2*t + t. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {k: 1, e: 2, z: 1, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 41 = -27*d. Solve -3*l = 2*l + 4*k - 17, 4*k = -l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 8*k**2 - 27*k + 51. Let l be w(3). Let z = -70 - -115. Let d be 18\/z + 4\/(-10). Solve d*f = 3*f + l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60233.565 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 3*k**2 - k + 7. Let h(d) = d**3 + 2*d**2 - d + 6. Let b(r) = -3*g(r) + 4*h(r). Give b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0909 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 225 + 71 = 0. Suppose g = -4*q + 146. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1311873 is divided by 874.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {b: 1, k: 1, w: 2, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -12766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*h - 341*h - q = 5, 0 = -2*h + 3*q + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16175 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.204204 rounded to four dps?\nAnswer: 0.2042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 2 + 0*v**4 - 51*v**2 + 0*v + 1\/60*v**5 + 0*v**3. Let g(o) = -32*o. Give s(g(l)).\nAnswer: 1024*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 15*w**2 + 27. Let t(a) = 8*a**2 + 14. Calculate -6*l(b) + 11*t(b).\nAnswer: -2*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 4*d - 5. Let n be z(-6). Suppose n*i - 81 = 4*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 2508?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*13996767.\nAnswer: -69983835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a**4 + 69260*a**3 - 92372*a**2 - 23084*a + 46184 = 0. What is a?\nAnswer: -5773, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 12*x**2 - 10*x + 8. What is j(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 5:30 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374604061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = -3*a. Let k(n) = 4*n**2 - 6*n - 4. Let m(f) = 4 + 3*f**2 - 2*f**2 - 3 - f. Let i(c) = k(c) - 3*m(c). Give i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 - 2*c**2 + c. Let l be q(1). Let o be 144\/l - 3\/3. Suppose -3*y = g - o - 23, -50 = -y - 5*g. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(7\/2))**40*(z**7)**(-7\/2) assuming z is positive.\nAnswer: z**(311\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.5 - 17.5. What is the nearest to 1\/2 in -1\/7, h, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 405 = 3*c - 2*v, -5*v + 365 = 3*c. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1427 + -0.14270711. What is s rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2210*u + 13262. Let x be m(-6). Suppose -6*r + 6 = -3*r. Solve -k = -3*l, -7*l + r*l = -k - x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -84266.\nAnswer: 2\/42133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 3*n - 10. Let x be k(-2). Let p = 0.5 + -0.2. What is the second biggest value in p, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u - 16. Suppose -2*n - 4 = -u*n. Find the third derivative of -6*p**n - 21*p + 21*p - 6*p**5 wrt p.\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -673536 divided by -42096\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 186 + 51. Let w(b) = b**2 + 3*b - 1. Let n be w(1). Suppose 5*t + n = -2, -3*g + 40 = -4*t. Calculate the smallest common multiple of g and l.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -114 + 520 + -464.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*s + 97*s + 20 - 17)*(0*s + 2*s - 5*s) to the form m*s**2 + t*s + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*v + 3*v. Let a be (-2)\/v + (-36)\/(-21). Suppose -a*p - 9 + 23 = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120035?\nAnswer: 5, 24007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**2 - 16 + 6 - n + n**3 - 10*n**2. Let r be o(0). Let t = 16 + r. What is the remainder when 23 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -7*i - 13. Let k(r) = 11*r**2 - 3*r. Let o(u) = -11*u**2 + 4*u. Calculate i*k(b) - 3*o(b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -90721*-6\nAnswer: 544326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63\/76 - 4981\/684. What is the common denominator of (5\/(-25))\/(1\/7) and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4263)\/62524)\/((-4)\/(-638)))\/(3\/(-16))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636945021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7540.546 millilitres?\nAnswer: 7.540546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(63\/(-38)) - 8\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 5*t**2 - 90016*t + 540138. Calculate b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2358*q + 533*q - 25723 - 3480 = 9122 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - 2. Solve -o*w = 11 + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/36 + 32\/6. Let o(y) = -y - 5 - y + 5*y + w. Let c be (-54 - -54) + 11 + 0. Let b(z) = 8*z + 3. What is c*o(n) - 4*b(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a factor of 94939198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 7)\/(2\/(-2)). Put 3, -1, c in descending order.\nAnswer: 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1557 = -0*o - 3*o, -3*z + 3*o = 1173. Is z\/(-18) + 2\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 49. Suppose -4*x = 5*m - 5, -4*m + 2*m = 3*x - 2. Suppose x = -0*i - i + 15. Calculate the remainder when g(-3) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(3)*2)*-4)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -51*g + 87. Let a(k) = -3*k + 5. Let t(s) = -69*a(s) + 4*j(s). Let b = 17 - 12. Calculate t(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*u**5 + 251*u**2 + 16114*u.\nAnswer: 560*u**3 + 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**4\/24 - z**3 + 5*z**2\/2 + 9. Let u(b) be the second derivative of y(b). Give u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370 and 38073?\nAnswer: 380730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4860\/(-189))\/(-15))\/((-138)\/21 + 3 + -3)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 + 5*s. Let i(p) = p - 8*p - p - 72*p**2 + 66*p**2. Calculate 5*i(a) + 8*l(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 1, o: 3, w: 2}. Give prob of picking 3 o and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8) + (5 - -5 - 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333 and 524790388.\nAnswer: 4723113492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b + 39 - 69 + 36 + (-3 - 5 + 24)*(-b - 1 + 1).\nAnswer: -22*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1387 - -1402. Let w(z) = -2*z + 3. Let x = -15 + 11. Let a be w(x). Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apcccclkccclkca. What is prob of picking 1 a and 1 c?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13408, -13409, -13410?\nAnswer: -13411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 10*s + 30. Give h(14).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-320)\/128)\/(5\/(-84)) and 2688?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-5)*o))\/o)\/(o*o**(-1)))\/((o*o**(-2\/11)\/o)\/(o**(5\/4)\/o)) assuming o is positive.\nAnswer: o**(151\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l**3 + 3*l**2 - l - 4. Let g be j(2). Let d(i) = -2*i**2 - 4*i + 6. Let x be d(-6). Let m = g + x. What is the remainder when m is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 19. Let t be 2 - (8 - 0\/m). What is the smallest common multiple of 20 and t\/(4 + -1) + 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/351 - 88\/27. Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1 + (1 + 3 - 2)*(-1 + 1 - 1) + 3 - 5 + 1 - 2 - 2 + 1)*(1 - 1 - c) in the form f*c + h and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1830, -27, 5, 11, -2 in ascending order.\nAnswer: -1830, -27, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 222022 (base 3) in base 15?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/20805659 and 61\/5.\nAnswer: 104028295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -73. What is the greatest common divisor of q and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5\/23, 10, -10?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 57?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - r + 3*r - 8*r to d + t*r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1468 less than -1369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + s + 3)*(-3999 - 16110 - 3021 + 293 + 6124) to b + h*s and give h.\nAnswer: -16713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**41*w*w)\/((w**39\/w)\/w*w))**46 assuming w is positive.\nAnswer: w**(-3450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62212720?\nAnswer: 2, 5, 353, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1438*m + 89143. Determine w(-62).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3 (b) 78\/55 (c) -49 (d) -2\/43 (e) -2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + 352?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/4, -27, -0.01, 5, 5\/6, 1, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -512520738*a**3*q - 3*a**2*q - 2*a**2 - 66*a*q - 954*a - 17*q - 2 wrt a.\nAnswer: -3075124428*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -60, -5, 61, 1.23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32, -82, -156, -248, -352, -462?\n\"Answer: j**3 - 18*j**2 - 3*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -39*q - 12. Let d be t(-3). Suppose 0 = 3*c - 3*g - d, 2*c = -5*g + 139 - 41. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + j + 3)*(3*j**3 + 3*j**3 + 4*j**3)*(4 - 2 - 1).\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38280623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1100) + sqrt(1100)*3 + 2)**2 + 0.\nAnswer: 160*sqrt(11) + 17601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (437*u - 1804 + 1804)*(-4 + 0 + 6).\nAnswer: 874*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45452, -30405, -15358, -311?\nAnswer: 14736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/3 + 18*k**2 + 361*k\/3 - 1298 = 0. Calculate k.\nAnswer: -11, 6, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90646 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -24 - 5. Calculate the remainder when p is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(((-8)\/115788)\/((-180)\/(-27))). Round k to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600 divided by -4.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -9 - 23) + (16 + 1)*1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 - (74*-4 - 1) - 2 and 8?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -9, -1110, 0 in increasing order.\nAnswer: -1110, -9, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3761\/30 + -763\/6. What is the fourth smallest value in -5, 0.1, x, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d - 11 + 0*d**3 - 3\/14*d**2 + 3\/28*d**4. Factor k(b).\nAnswer: 3*b*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29966705 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7843 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79154\/5 + 15831. Which is the smallest value? (a) -1\/5 (b) -2\/7 (c) t (d) -4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 899\/69 + 5915\/(-455).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.624 equal to -1133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f*f*f*f**(1\/13)*f*f)\/(f\/(f\/(f*f**2))))**29)**(-2\/11) assuming f is positive.\nAnswer: f**(-348\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -47\/1868, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342611 is divided by 186.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2) - (sqrt(2) + -1)) + sqrt(2))**2 + -1.\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let v be (3\/(-3))\/(1\/n). Let i = -7 - -8. Sort v, -1\/7, i.\nAnswer: v, -1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 155?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/4 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26516 - -47191. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3398, 3114, 2830, 2546, 2262, 1978?\n\"Answer: -284*r + 3682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 - 69 - (0 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 1863, 4124, 7291, 11364?\nAnswer: 16343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -342, -684, -1026?\n\"Answer: -342*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(1 - (1724\/1914 + 112\/1624)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ededd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 151323530467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8*y = 4*y + 28, 4*g = -4*y + 88. Solve -w - 4*o - g = 0, -2*w - 3*o + 2*o = 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**2\/2 + 116. Let m(l) = 6*l - 3*l + 5*l. Determine m(w(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 9*n - 13*n. Suppose -n*z - 11 = -9, -5370 = -3*i + 3*z. List the prime factors of i.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/5 + (10 - 6)*(-1)\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/98*4)\/(4\/(-7))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 5) to base 13.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 60\/(-200)*-20 - ((-53)\/9 + -3)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12214 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 3. Let r = 2 + m. Let l = -0.19999942 - r. What is l rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.704 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(44\/23 + -2). Let u be ((-1)\/(-2))\/((-115)\/x). Determine d, given that u*d**2 - 1\/5 + 0*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4*1\/(-5))\/((-8)\/2540). Let y be (-3)\/(24\/v)*-8. Suppose 0 = -17*a + 15*a + y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - p = 12, 13 = 3*h + 3*p - 2*p. Suppose 47 - h = 6*d. Let x be 2\/d + (-7992)\/(-56). Calculate the highest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 1 + m + 3*m. Suppose 0*p - 5*p + 15 = 0. Calculate l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = t - 7. What is the least common multiple of t and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7686 + 2*t - 7686 - 4*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 46. Suppose -3*a + 2*t - 23 = -2*t, -t = -4*a - 9. What is the third smallest value in 5, r, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.02 - 9.52. Which is the fourth biggest value? (a) -2\/15 (b) -1\/3 (c) 12 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 2*g. Let i be d(2). Let w(q) = -q**3 + 7*q**2 + 10*q - 9. What is w(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877799.\nAnswer: 13, 67523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*l = -3*q - 20, 2*l = 4. Let t be 4\/(q\/2) - -2. Which is the third biggest value? (a) t (b) 17 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19233, -1, 1\/17294 in decreasing order.\nAnswer: 1\/17294, -2\/19233, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*w + 1326 + 709 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3\/15)*(-67750)\/94850?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -720 divided by -144\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2291202 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -26677.4 rounded to the nearest 10?\nAnswer: -26680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(9\/5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 644*w**3 + 12617*w**2 + 13260*w.\nAnswer: -w*(w - 20)*(w + 1)*(w + 663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1198, -2409, -3620, -4831, -6042, -7253?\nAnswer: -8464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 2193*p**7\/7 + 3083*p**3\/3 + 1626. Find the third derivative of o(c) wrt c.\nAnswer: 263160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3338637*4\nAnswer: -13354548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2, -3, 3, 360, 11 in descending order.\nAnswer: 360, 23, 11, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 98, 13 in ascending order.\nAnswer: 0, 5, 13, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -25*h + 85. Let w(j) = 2*j**3 - 23*j**2 + 27*j - 49. Is w(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(112)*1)\/sqrt(2) + (sqrt(1400) - (sqrt(1400) + (sqrt(1400) - (sqrt(1400) - -2*sqrt(1400)))) - sqrt(56)))\/(2*(1*sqrt(72))\/sqrt(9))*-1.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011100 (base 2) to base 3.\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8909 + -8907. Let k(f) = 907*f - 2. Let h be k(-6). Is i\/6 - (3 - h\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21212621, -21212628, -21212633, -21212636, -21212637?\n\"Answer: r**2 - 10*r - 21212612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100001111000000 (base 2) in base 7?\nAnswer: -463430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 2, 2\/13, -2\/5 in increasing order.\nAnswer: -6\/13, -2\/5, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 + 5*a + 6. Let z be l(-5). Suppose -o + z*o = 10. Let g be -1 + 3 + (o - -1). Sort -5, g, 4.\nAnswer: -5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1155 - -3913. What are the prime factors of k?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.8*26.\nAnswer: -956.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -7. Is 0\/(-1) + t - -96 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1222090, -2444186, -3666282, -4888378, -6110474?\nAnswer: -7332570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-82)\/10)\/((-18252)\/2340)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/34 and -79\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.99 and -0.24.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 79197459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 = -3*c - 1, 3*c = 4*q - 20. Solve -k - 2 = q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*t + 1150 = t, -5*t + 2309 = -2*p. Let f = p - -10309\/9. What is the common denominator of f and -64\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*(l\/(l*l**(-1\/8)\/l))\/l)\/(l**2)**30*((l*l*l*l\/l**(-2\/3))\/(l**(1\/17)*l))**45 assuming l is positive.\nAnswer: l**(12849\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 3*x + 8*x - 18, -1 = -15*x + 44 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 10:24 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -1\/6, -0.2, -3, -5, -6234?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -237861 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71400676*b**4*m + 2*b**3*m**3 + 87010594*m**3 wrt b?\nAnswer: 285602704*b**3*m + 6*b**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 9:54 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 130.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 32.25, 0, 1\/167.\nAnswer: 0, 1\/167, 22, 32.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16348224 divided by -12.\nAnswer: -1362352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51559, 103090, 154619, 206146?\nAnswer: 257671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79091\/142 or 557?\nAnswer: 79091\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.48 + -60.52. Let c = 60.892 + n. What is c rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3227917 and 282882908.\nAnswer: 3111711988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikeeeezei. Give prob of sequence zki.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 - 453*b**2 + 18177*b - 79935 = 0. Calculate b.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*j**2*r*t + 2772844*j**2*r + 27*r + 1053299*t wrt j?\nAnswer: -24*j*r*t + 5545688*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-34))\/(-1) + (1378\/(-52) - -26)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/11))\/f)\/(f\/f**(-1\/8))*(f**(-9)*f)\/((f*f**(-2\/3)*f*f)\/f) assuming f is positive.\nAnswer: f**(-2713\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(19) + 1)**2.\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/4 + o**3\/2 - 1835*o**2. Let g(r) = 4*r. What is g(z(f))?\nAnswer: 60*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8084701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 5. Let s(y) = 2*y + 11. Suppose p + 18 = 5*l, 0 = 3*l + 2*l - 5. Calculate p*c(q) - 6*s(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141 - 138. What is the tens digit of 15908\/492 - (1 - 5\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5 - 781050*j**4 + 50836591866*j**3 + 2343156*j**2 - 152511337725*j + 101673183750 = 0.\nAnswer: -2, 1, 130175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13504967*p**2 - 9160781?\nAnswer: -27009934*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3370 divide 26424170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from yllywlaylwwl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/13, 5.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279*h**2*z**2 - 12*h**2*z - 30*h*z - 2*z**2 wrt z?\nAnswer: -558*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 87414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4 - 110*t**3 - 704*t**2 - 1560*t - 1152 = 0.\nAnswer: -48, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11. Let r(j) = -j**3 - 4*j**2 - 6*j - 10. Let y be r(-3). Let x be (4 - 5)\/(-2 - y) + -1. Solve x = -u*m + 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0737 - -0.0737. What is the closest to -0.1 in 18, 0.5, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 20\/(-4 - -8). Suppose p = 4*z - 6*z + 8. Suppose z*f - 904 = 4*r, -1124 = 2*f - 7*f - r. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74310.86 nanometers to centimeters.\nAnswer: 0.007431086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -41. Let p = -14 - -14. What is the least common multiple of w and 99 - (p - -7 - 0)?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i + 50. What is l(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*s - 10, -3*q + 8*q + 17 = 4*s. Let l(c) = -2*c - 2*c + s - 1. Let o(a) = -260*a - 2 - 262*a + 520*a + 3. What is -3*l(b) + 5*o(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 - 100.0767?\nAnswer: -102.5767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + a. Let b = a - -15. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 17*i**5\/12 - 123*i**4\/4 - 10*i**2 - 5*i. What is the second derivative of v(w) wrt w?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e705 (base 15) to base 14\nAnswer: -2835d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-14)\/((-1904)\/51))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 11163?\nAnswer: 11163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w. Suppose w = 2*u - 0*u - 2. Let f(l) = -2 + 7*l**3 + l - 2*l + u - l**3. What is f(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3850\/2508 + (-3)\/2. Let k = y - 26\/19. Which is the third biggest value? (a) -2 (b) 0 (c) -0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-55)*5\/(-4). Let y = -0.26 - -0.06. Let q = -1.8 + y. Which is the smallest value? (a) q (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -138*q + 3736. Give p(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 j when three letters picked without replacement from fdjzwjc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 12) to base 10.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*5*(sqrt(150) + (sqrt(150) - 5*1*sqrt(150)) + sqrt(150))\/((sqrt(242) - (sqrt(242)*-2 - sqrt(242))*3 - sqrt(242)) + sqrt(242)))**2.\nAnswer: -200*sqrt(3)\/11 + 3811\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(1 - 1 - 1) + 1 + 2 - 1 + (4 - 5 + 3)*(-3 + 3 - 2))*(260*b + 282*b - 430*b).\nAnswer: -448*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1227323*f + 108864 = 1228295*f for f.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116120 is divided by 6362.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 0\/3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 801150492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 44 = -41 + 103 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17755.\nAnswer: 5, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 2*j + 3 - 6*j - 9*j + 2*j**2 as t*j**2 + x*j + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 18. Let m(o) = 9*o + 2. Calculate the remainder when m(2) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a0c15 - 27?\nAnswer: a0bdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.512725169 to three dps.\nAnswer: 0.513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, p: 5}. What is prob of picking 4 p?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2\/3329, -2\/255?\nAnswer: 2\/3329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 1. Let u(p) = -1. Determine 6*a(h) + 6*u(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/(-90) - (-1 + 7827\/(-5)). Find the third derivative of 0 - f*y + 3*y**2 + 1553*y + 0 - 79*y**5 wrt y.\nAnswer: -4740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2826.21641 rounded to the nearest integer?\nAnswer: -2826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -101, 211, 943, 2095?\n\"Answer: 210*d**2 - 318*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 29*d**2 + 13*d + 16. Let h be m(14). What is the derivative of -128 - 21*c - 5*c**2 + 10*c**h - 55 + 4*c**2 + 18*c wrt c?\nAnswer: 18*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329 - -369. Calculate the remainder when b is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4, -a + 2*z = 4*a - 128. Suppose -5*o = q + 43 + a, o - 2*q = -20. Let v = 81 + o. List the prime factors of v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/2 of a millennium?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -412373 - 0?\nAnswer: -412373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37, -40, -41, -40, -37, -32, -25?\n\"Answer: i**2 - 6*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by 416.\nAnswer: -51\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 3072, 6659, 11668, 18093, 25928, 35167?\nAnswer: 45804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.06192 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14423*f + 14255*f - 16128 = 0 for f.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9322 and 239309723?\nAnswer: 4661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in 3, -1\/5, -129?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -53*q**2 + 957*q - 54. Let z be k(18). Find c such that z*c + 9\/5*c**2 + 3\/5*c**3 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-355 - (-5)\/(5\/(-2))). Let l = -348 + r. What is the highest common divisor of 704 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2137*m**4 + 62870?\nAnswer: 8548*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2147651 rounded to four dps?\nAnswer: -0.2148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20160)\/(-315) - 12\/1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjyyyjyyjnyjy. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 4869184.\nAnswer: 4869183.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 + 475*a - 18254. What is y(93)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -75100852658\nAnswer: 75100852649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0627107 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24738102 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 5, 3 in increasing order.\nAnswer: 2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (610\/(-30) + 2)*-3.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/5 - 3\/5. Let l = 0.73 - -1.27. What is the closest to b in 0, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 6*k - 7. Let q be t(3). Let p(a) be the second derivative of -2*a**2 - q*a + 0 - 1\/12*a**4 + 2\/3*a**3. Let p(o) = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, -4\/3, -603, 30?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223 - 999. Let d = -1221.999489 - w. What is d rounded to 5 decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 29, 60, 113, 194, 309, 464?\n\"Answer: g**3 + 2*g**2 + 2*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18753)\/(-188)*612\/(-1071).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Suppose 5*i = -2*u + 53, -2*u - 23 = -s*i - u. Let b(g) = g**3 - 10*g**2 + 12*g - 5. What is the smallest common multiple of b(i) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01771 and -0.3.\nAnswer: -0.005313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(704) + (5 + -2 + sqrt(11) - sqrt(176)*-2)**2.\nAnswer: 62*sqrt(11) + 904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1243.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*q - 70, 199 = 4*q + x + 39. Let b = q - 21. What is the remainder when 51 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/3 - 917*x**4 - 76292*x**3\/3 - 130592*x**2\/3 + 101728*x + 566384\/3 = 0.\nAnswer: -2723, -26, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -325*a - 1948. Let u be h(-6). Let s(j) be the first derivative of 24*j + 4\/3*j**3 + 6 - 10*j**u. Factor s(l).\nAnswer: 4*(l - 3)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-65655)\/(-30) + (-6)\/12?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/60 + r**4\/3 + 7*r**3\/6 - 6*r**2. Let f be -7 - (36\/9 + -5) - -1. What is q(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*j - 10. Let b(h) = -h**2 + 7*h - 3. What is b(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -83*i**2 + 417*i + 611. Let n(w) = 14*w**2 - 68*w - 102. Let a(p) = 35*n(p) + 6*z(p). Find m, given that a(m) = 0.\nAnswer: -3\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/13)*o)\/o)\/o)\/o**(2\/7)*(o**(-1)\/o)**(1\/19) assuming o is positive.\nAnswer: o**(-2804\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -90.\nAnswer: -89.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 11:28 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**3)\/(r**(2\/3)*r))**(10\/7))**(-31) assuming r is positive.\nAnswer: r**(3410\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -133, -99, -65, -31?\n\"Answer: 34*q - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1429.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 43.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(-1 - 3 + 2)*(8*y + 2*y - y).\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 8\/9 (b) -0.6 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -41. Suppose -5*w = -w + 3*s - 137, -4*s - 20 = 0. Let g = x + w. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0156 - 677.6?\nAnswer: -677.6156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4982 divided by -106.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 6*g + 2. Let k(y) = y + 2. Let z be k(6). Suppose -z*b - 7 = -9*b. Is n(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + -63.5. Let s = i - 19. Let t = 0.5 + s. What is the fourth smallest value in 4\/5, -1, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let o(c) be the first derivative of 1 + 0*c**2 + w*c**3 + 2*c - 1\/2*c**4. Find the first derivative of o(y) wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.4, 4, -0.333?\nAnswer: -0.333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3627 - 39926\/11. What is the common denominator of u and ((-832)\/15)\/(-13) + (-2)\/12?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (5 + -1) - -9) + -2 + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 39, 43, 37, 15, -29, -101?\n\"Answer: -i**3 + 4*i**2 + 3*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33143 (base 6) to base 3\nAnswer: 20022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + 1 - ((0 - -4) + -4). Suppose -958 = 10*y - g*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48.5 + 48. Let t = f - -0.06. Let o = -5.44 - t. What is the second smallest value in 0, o, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 458\/(-687)*(-4)\/(-10) + (-2)\/(-3). Which is the nearest to j? (a) -1\/9 (b) 3 (c) 141\/10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 292\/(-144) + (-1035)\/(-460). Which is the closest to -2\/5? (a) -136 (b) m (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 359.4\nAnswer: -1078.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -2*f. Suppose 4*a = f*m + 18, -2*a + a = 5*m - 10. Let n(q) = 2*q**2 - 5*q + 7. Is n(a) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/3)\/(-3 + 3226\/1073). Let v = t - 1634. Calculate the common denominator of -41\/2 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*((-35)\/(-15) - 3). Put -8, l, 4 in descending order.\nAnswer: 4, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1)**47*s*s*s**(-7)*s*s\/s**3*((s**(-2\/5)\/s)\/s*s*s)**(-4\/11)\/((s\/(s*s**0)*s)\/s)**(-9) assuming s is positive.\nAnswer: s**(-322\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1133 and -107\/52061350?\nAnswer: 52061350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 5*o + 52*o**2 - 54*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 16. Let t be (-30)\/(-21)*21\/6. Let f be p(t). Calculate the highest common factor of 36 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.05 + 4.86. Put d, 1\/6, -2, -0.3 in increasing order.\nAnswer: -2, -0.3, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/13914623 and 26\/87829.\nAnswer: 97402361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29986 and 638.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.92 - -0.9. Let z = -228 - -2050\/9. Let w(k) = k**2 + 9*k + 12. Let t be w(-8). Which is the nearest to z? (a) l (b) -1\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - 4 - (3 - (6 + -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ooqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1321221 (base 7) to base 15\nAnswer: -36553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82386659 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241 + -166. Suppose -317 + g = -11*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4075 = -528*b - 7541 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**3 + 2*w**2 + w + 7. Is n(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31501\/(-2040) - 14\/(-1) and -41\/440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - (-5 + (-4 - -11 - -13) + -2 - 10)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 6*c - 5. Determine z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.8317l in millilitres?\nAnswer: 131831.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 23 = 8*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 = 0, -2*k - 3*k = m - 291256. Let a = -188276 + m. What is a rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d**2 - 5*d**2 + 4*d**2. Let b(x) = -x**2 - 7*x + 3. Let t be b(-7). Let o(k) = -t*k + k - k. What is a(o(i))?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 16, 3*v - 3*r = 32 - 8. Suppose -3*t = -4*k - 0*k + 8, -2*k - 4*t = -v. Solve -4*m + k*m = 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 65*b + 45. Let q(n) = 3*n + 2. Let m(z) = -45*q(z) + 2*w(z). Let i(r) = -3*r**2. What is i(m(v))?\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r\/(r**(8\/7)*r)))*r)\/r**(1\/4))**43 assuming r is positive.\nAnswer: r**(731\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2840 is divided by 2617.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.24 and 151.\nAnswer: 144.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 285904 + -159213. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1427, 2359, 3257, 4103, 4879, 5567?\nAnswer: 6149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 3*w - 1. Let c be j(2). Let u be c\/(-4) - 3\/(-12). Suppose 5*q - 32 = -4*o, 2*q - 15 = -2*o - u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/7 + 1377*v**2 - 7007328*v\/7 - 1207928436\/7.\nAnswer: -3*(v - 1678)**2*(v + 143)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 324\/1001 (b) 2 (c) 0.5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(4\/(1 + 7)). Let h = 15 - 9. Let m = h - t. Solve 3*a + 10 = -m*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(4\/3)*z))**(12\/11)\/(z\/z**(-30)*z**34) assuming z is positive.\nAnswer: z**(-743\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/(-2320) + (49\/56 - 1))*(-3 - 1).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*k = 2, 6 = 3*x - 2*k + 4. Sort x, -1, -2, 1 in ascending order.\nAnswer: -2, -1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(128) - -2*sqrt(128)) + -2)**2 + 0 - ((0 + sqrt(72))*-2*1 + 4).\nAnswer: -84*sqrt(2) + 1155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*o - 23. What is the remainder when 21 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58425700 + -58425279.99781. Let x = -426.6 + 6.6. Let w = k + x. Round w to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + c8b7?\nAnswer: c904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -16 - 7) + -20 + 0 + 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, r: 13}. Give prob of sequence krrk.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -7 (b) -1\/8 (c) 0.09 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let q(r) = 5 - r**k - 5. Let j(d) = -d - 1. Let f(u) = -12*u - 10. Let z(v) = -f(v) + 10*j(v). What is q(z(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 18 = -3*v, -4*v - v - 10 = -5*d. Let m(i) = -i**3 - 4*i**2 + 16. Suppose -3*x - 17*x - 80 = 0. Calculate the lowest common multiple of m(x) and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 429? (a) 0.066 (b) -2\/3 (c) -2\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 2*b + 33, -47*b = -j - 57*b - 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33 times -0.008?\nAnswer: -0.01064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*d - 14 - 26 = 0, -4*j + 105 = -d. Let v(c) = 46*c - 23*c - j*c. Let b(s) = 26*s**2 + 2 - 35*s**2 - 2. Calculate b(v(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.436793 from 41.\nAnswer: 40.563207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 2 + 2*s**3 - s**2 + s**3 - 1 + 5 as g + c*s + l*s**2 + z*s**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720982 at least as big as 3720981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 3*d - 3. What is x(3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 4. Suppose 4*k = -2*s - 1 - 25, s - 7 = 3*k. Let u(n) = -3*n - 5. Let j(i) = s*u(i) - 6*h(i). Determine j(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 4. Give a(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 381041439 to the power of 1\/2, to the nearest integer?\nAnswer: 19520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/7*-1*-16. Solve o - 5 = 3*m, 3*o - n = -1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237480043 to the power of 1\/2, to the nearest integer?\nAnswer: 15410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p = 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2339*o + 64 = -2343*o - 4*z, -3*o - 62*z - 107 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-2)\/(-4) - (-11167)\/(-1718)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/530 and -95\/742?\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39983, -79968, -119953, -159938?\nAnswer: -199923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2\/7 - 18*n\/7 + 3 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 13*r + 18 - 3*r + 0*r + r + (-3*r + 2*r - r)*(-5 + 2 + 1) + 1 + 2*r - 1 + r + 4*r - 3*r to c*r + i and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9498880 by -6560.\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.001?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -11\/384 (c) -1 (d) -0.3 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -12*w + 32. Suppose 0*o = -w*o + 112. Is 14 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v, 4*c + 5*v = 2 + 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 39179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 2*a + 5)*(-89*a**3 + 41*a**3 + 28*a**3).\nAnswer: -40*a**4 + 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**3 + 3*t**2 + 5*t + 8. Let r be p(5). Suppose 2*y - 3*f - 1144 = 77, -y + r = -4*f. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102865, 411402, 925633, 1645558, 2571177, 3702490, 5039497?\nAnswer: 6582198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*h**2 - 607*h**2 - 15 - 9*h**3 + 1164*h**2.\nAnswer: -9*h**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*n**3 + 3*n**2 - 5*n**2 - 27*n**3)*(173 - 173 + 20*n**2).\nAnswer: 140*n**5 - 40*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2888000 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959*b = 962*b - 22215. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004131 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 28 = 0. Suppose 5*z - g = -2, 2*z + 8 + 3 = -3*g. What is the lowest common multiple of q and z + -3 - 3*-8?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36\/1229 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/((-528)\/186) - -3) + 7896\/(-43791). Which is the nearest to g? (a) 3 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 0*o**3 - 2*o + 0*o**4 + 0*o**2 + 2\/5*o**5 - 3. Differentiate x(n) wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208900 is divided by 5366.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**5*p + 18*b**3*p**3 + b**2*p**2 - 21*b*p**3 - 2*p wrt b.\nAnswer: 360*b**2*p + 108*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*x = 7519, 3*a = -3*x + 9024 - 1515. Does 42 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160 or 3636?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*p + 220000, -4*g + 6*g = -2*p + 110000. What is g rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f - 4. Suppose h + 3*h - 20 = 4*x, 4*h = -x + 10. Calculate the lowest common multiple of 1 and z(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**4 - 60*z**3 + 30*z**2 + 207*z + 120. Let k(f) = f**4 + 30*f**3 - 15*f**2 - 104*f - 60. Let a(s) = 4*c(s) + 7*k(s). Factor a(n).\nAnswer: -5*(n - 2)*(n + 1)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-9 - -8) + 21\/4.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41.7 * 0.2301691.\nAnswer: -9.59805147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3835 + 0.2835. Which is the closest to r? (a) -1 (b) -1\/3 (c) 2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - 3*k - 4*k + 9 as q*k + w and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*r - 8*r. Let x be (-4)\/(-11)*r\/(-6). Let d = 6 + -8. Which is the nearest to -1? (a) d (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 19*w + 34. Let y be a(-17). Sort y, 6, 2, 5 in descending order.\nAnswer: 6, 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 160?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**2 + 3*g - 4. Calculate o(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -21*d + 297. Put -1, 1, d, -68 in increasing order.\nAnswer: -68, -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + (-17166)\/3312)*-1. Let o = -4\/69 + w. Which is the biggest value? (a) o (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 + 153*h - 56. Calculate l(-31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 10*y - 8. Suppose 0 = -2*a - 4*l + 174, 2*a = -2*a + l + 384. Suppose -a = -3*t - 5. Calculate the remainder when t is divided by h(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1094543 - -384539. Let h be m + (-1 - (-7 - -2)). Round h to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -4*h**3\/3 - h**2\/2 - 4*h + 1. Let z(j) = -1 + 112*j - j**2 - 112*j. Let p = 2 - 3. Calculate p*d(o) + 2*z(o).\nAnswer: 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16 = 12*w - 8*w, 4*t + 12 = 3*w. Let d(c) = -5. Let i(l) = l**2 - 1. Let a(h) = d(h) - 3*i(h). Let z(q) = 4*q**2 + 2. Determine w*z(v) + 5*a(v).\nAnswer: v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*v + 4. Let o(g) = -g - 1. Let n(f) = 1. Let u(s) = -4*s - 8. Let b(m) = -4*n(m) - u(m). What is v*b(y) + 7*o(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217*o**3*y**2 + 5*o**2*y**2 + o**2*y - 19*o*y**2 wrt o?\nAnswer: 1302*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 3*c**2 + 2. Let u be n(3). Solve -a + 4 = -2*d, d + u = -2*a - 3*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/102 and 40\/153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7625557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -22, -6, -4 in descending order.\nAnswer: -3, -4, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 154, 287, 4 in ascending order.\nAnswer: 0, 4, 154, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1)\/(-55) - (-8)\/(-44). Let p = 2.9 + 28.1. Let r = p - 30. Which is the nearest to 0.2? (a) -1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/9 + 26744*v**2\/9 - 45415936*v\/9 + 263900544.\nAnswer: -4*(v - 3316)**2*(v - 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41701986 a multiple of 1181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let y(j) = j**2 + 5*j + 6. Let g be y(-5). Suppose -3*w - 6 = 5*c, c = 5*w - g*w. Let a(m) = -9*m + 3*m + w*m. Calculate a(p(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from ffu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7804 is divided by 101?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 265085.3 millilitres?\nAnswer: 265.0853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 6. Let z be o(-6). Suppose -2*r - r = z. Suppose 0 = -4*s - r*s. Let b(m) = -m**3 + m**2 + m + 6. Calculate b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12503233 (base 7) to base 9.\nAnswer: -2133271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5618, -5, -8, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -4\/11641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.011, -0.4 in decreasing order.\nAnswer: -0.011, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11a60a - -c?\nAnswer: -11a5dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 195 + 77 + 25506*c - 5778*c + 55.\nAnswer: 19728*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/48 and 85\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = w - 13. Let g = w + -45. Solve 10 = -g*s + 2*m, -s - m + 2*m - 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) + sqrt(88)*5*-3))\/((-1*sqrt(96)*5 + sqrt(96))\/sqrt(12)).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246142027 is divided by 51?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048564 to the power of 1\/2, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.29 - 6.29002275. What is s rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277175711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 - 15*x**4 + 5*x**3 + 15*x**2 - 10*x.\nAnswer: 5*x*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254205565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1058 and -5.\nAnswer: -4.8942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 519. Let l(a) = -17*a. What is u(l(g))?\nAnswer: 1156*g**2 + 519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 892200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 47. Let d be f(21). Let a(j) = j + 1. Let i be a(d). Calculate the smallest common multiple of (-16)\/i*-1*(-1 + -1) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 24*o + 74. Let w be -51*(-2)\/27 + 98\/441. Calculate the remainder when 47 is divided by t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3, 1\/4, -0.5, 107014, -14 in descending order.\nAnswer: 107014, 3, 0.3, 1\/4, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((-7 - -7) + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 q when four letters picked without replacement from qqmmmqmqqqq?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 235273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -696.284552 + 401.284691. Let f = -0.25 - -295.25. Let x = m + f. What is x rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4103289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1087.29033 to one dp.\nAnswer: 1087.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -165649 divided by -4477?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)*5\/(-85). Let a = 2275.5 + -2276. Sort q, -0.2, a in decreasing order.\nAnswer: q, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 464365 or 464366?\nAnswer: 464366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073838960?\nAnswer: 2, 3, 5, 19, 78497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a = 12*a - 576 - 352 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t**2 - 3*t. Let i be v(3). Suppose k - i - 1 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 7*u + 5. Let g be d(-7). Let o(q) = 6*q + 2. Let c be o(g). Suppose 0 = -3*y - y + c. Solve 4*f + 3*n = 12, -3*n + y = 5*f - n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 2*s - 1. Let k(v) = 27*v**3 - 6*v**2 - 4*v + 789. Let c(n) = -2*j(n) - k(n). Find the first derivative of c(u) wrt u.\nAnswer: -81*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56, 138, 210, 266, 300, 306, 278?\n\"Answer: -h**3 + h**2 + 86*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4608 and 696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2234 (base 13) to base 11\nAnswer: 3651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**2 + 2631*m - 13376. What is y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.71 and 3.27?\nAnswer: 3.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 277 + 642. What is the greatest common factor of q and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 301 = -5*u, 2*j + 61 = u + 3*j. Suppose 0*y + 3*y - u = 0. Calculate the remainder when y is divided by (-34)\/(-5) + 5\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((0 + -3)\/9). Let z be ((-2)\/m)\/(6\/(-36)). Is -19*2\/z*2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 10862*v = -10858*v - 65, -4*o - 63 = -v for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*c**4 - 12*c**3 - 3 + c + 2 + 14*c**3 in the form g + d*c + v*c**3 + u*c**4 + w*c**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c - 4 = -10*c + 49*c - 53 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/2)\/((-10)\/(-80)). Let y = n - 39. Let o = 41 - y. Calculate the greatest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-24))**(-5)\/(a**(-28)*a**(1\/8)) assuming a is positive.\nAnswer: a**(1183\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140*o**2 + 89195*o + 9555.\nAnswer: 5*(o + 637)*(28*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114347900 by -10.\nAnswer: -11434790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 7*u**3 + 35929*u**2 + 25658*u - 10264 = 0.\nAnswer: -5132, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5*15\/(-50))\/((-42)\/64). Sort 0.4, d, 2 in descending order.\nAnswer: 2, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617647 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/7)\/p*p\/p**(-4\/5)*(p**2\/p)**(-15) assuming p is positive.\nAnswer: p**(-487\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 42. Let h = 53 + q. What is the greatest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48976*k + 65476?\nAnswer: -48976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 244, 391, 598, 865?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1960852*0.21.\nAnswer: 411778.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u + 328 = 8*u + 24*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4203 (base 5) in base 10?\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 360.31 + -360. Let x = j - 0.51. Which is the closest to x? (a) -3\/5 (b) 2\/9 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -228*f**2 - 160*f + 20. Let n(k) = 8*k - 1. Give 40*n(z) + 2*o(z).\nAnswer: -456*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 n when three letters picked without replacement from {z: 4, b: 3, n: 4, x: 1, m: 2, w: 1}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23249, 46217, 69185, 92153, 115121?\n\"Answer: 22968*k + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/8*10\/(-18465). Let j = 77557\/19696 + m. Calculate the common denominator of j and (-98)\/(-6)*6\/(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -18*q - 68. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -9, -11, -13, -15, -17?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (311\/(-1244))\/((-2)\/(-72)) - 81 - -22?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43789, -87565, -131335, -175093, -218833, -262549?\n\"Answer: b**3 - 3*b**2 - 43774*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -7. Let i = 16 + d. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 179450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 18. Let k be 2 + 2\/(-2 + 1). Suppose i*t + t - 15 = k. Which is the biggest value? (a) -2 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 1745 + 807. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (9 - -1) + 2. Suppose 2 = x + j, x - 7*j = -3*j + n. Let h(p) be the third derivative of p**4\/24 - 19*p**2. Determine h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(176).\nAnswer: -5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1699009*f**2*n**2 + 1444081*f**2*n + f*n wrt n.\nAnswer: -3398018*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 2. Let x(b) = 8*b + 8. Let n(r) = 9*k(r) - 2*x(r). Suppose 0 = 4*z - 244 + 232. What is n(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8794748 is divided by 4397370.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*r**5 - 180*r**4 + 140*r**3 + 100*r**2 + 12*r = 0. Calculate r.\nAnswer: -3, -1\/3, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4039 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v**3 - 1. Calculate z(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 8*m**2 + 3*m + 6. Let d be u(-6). Suppose 5*f = -0*f - d. Let a = 30 + f. What is the highest common divisor of 36 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 12271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let n = -155 - -102. Let p = n - -211\/4. Which is greater: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1779 is divided by 862.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 28 + 16 + -35?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose k*n - 4 = 4. Suppose -6*r + 206 = -n*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/3 (b) 2\/23 (c) -37 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-3)\/3*-1)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -818?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 8, 194?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2784 minus -1?\nAnswer: -3.2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 g, and 2 j when four letters picked without replacement from {j: 4, i: 1, g: 3, z: 1, p: 6, x: 1}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248369487?\nAnswer: 3, 82789829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0 + 0*h**4 + 1\/5*h**5 + 19*h + 3\/2*h**2 + 0*h**3. What is the first derivative of i(g) wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*l + 51148 = 0, 0*a + l - 63947 = -5*a. What is a rounded to the nearest 100?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 36*w - 221. Let t be m(-8). Suppose a + 27 = 5*x + 662, -t*a + 241 = -2*x. Put 2\/3, -5, 2, x in decreasing order.\nAnswer: 2, 2\/3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34278 - 349*h**3 + 17120 + 5*h**2 + 17158.\nAnswer: -349*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2136 = 8*w - 12*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10966306 and 1501.\nAnswer: 10966306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-18))\/(4\/(-54) + 3125\/16875)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - -5 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-16))\/(2\/(-8)) + -1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1891*p = -1890*p + 5*m - 9*m - 24, 19*p - 5*m = 243 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 23034?\nAnswer: 92136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -341232 divided by 170616?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/5)*z)\/(z*z*z*z**(-6)))\/(z**(-2\/7)\/z)**(-34) assuming z is positive.\nAnswer: z**(-1362\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77577*m**2 + 22*m + 15977601?\nAnswer: -155154*m + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -89374 divided by -15\nAnswer: 89374\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*q - 14 = 0, 56*i = 57*i + 3*q + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2581424 and 14197832?\nAnswer: 28395664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 37 = 2*z + 29, 2*q + 3*z - 13 = 0. What are the prime factors of q\/(-10) - (1 + (-85660)\/50)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 1. Let f(l) = -5*l**4 + 15*l**2 - 10. Let t(g) = -f(g) + 5*h(g). Factor t(d).\nAnswer: 5*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1282, -1285, -1278, -1255, -1210, -1137, -1030, -883?\n\"Answer: i**3 - i**2 - 7*i - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-9)*x**(-2\/5) assuming x is positive.\nAnswer: x**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 7*g + 5*g = -0*g + 5, 2*g = 2*g + 5*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235229 is divided by 10687.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478023236.\nAnswer: 2, 10273, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-5))\/(42\/315)*-1. Let b be 1 - -1 - (s - -17). Solve -b*m = -i - 1, i - 2*m + m = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3, 22, -44, 2?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1. Let n(v) = 21*v + 21. Let l(c) = n(c) + 21*o(c). Suppose 5*z = z - 72. Let p(b) = -6*b. Give z*p(w) - 5*l(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26568*u - 26568*u + 861*u**2.\nAnswer: 861*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + 96. Let i = -64 + 67. What is the second smallest value in n, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/12)\/(-15)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22d8 - -7088?\nAnswer: 9371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 + -73. What is the derivative of -12*p**2 + u - 6*p**2 + 0 - 14*p**2 wrt p?\nAnswer: -64*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3872 and 8800.\nAnswer: 96800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**3*p*x - 10*a**3*p + 17*a**3*x - 5*a**2*p + 21*a*x + 3*p*x - 2*x wrt a?\nAnswer: -36*p*x - 60*p + 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = y + 753, -d + 178 = -2*y - 19. Does 13 divide (-22)\/d - (-1277)\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + -0.94. Sort 3\/2, l, -0.1, -0.2.\nAnswer: l, -0.2, -0.1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555440 divided by -777720?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*f - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 5. Let w be z(-4). Let p = w - 2. Let l be (-1 - 10\/(-4)) + 0. What is the nearest to -1 in 2, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1283 - 2544 = -6*z - 1411 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - (-52 - (-13 - 17))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = h - 10, 0*h + 12 = -2*t + 4*h. Suppose 3*o = 4*j - 2*j - 21, 0 = -4*j - 3*o + 15. What is the smallest common multiple of j and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100000 (base 2) in base 15?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1199 + 1200. Solve 4*d - 8 - 11 = 3*t, -t = 4*d + n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67410 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-3 - 7))*((-54)\/(-18) - (-27)\/(-15))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 303 and 519?\nAnswer: 52419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 207449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 274*a - 1509*a + 611*a + (2 - 1 - 2)*(3*a + 3*a - 4*a) - 2*a - 4*a + 4*a.\nAnswer: -628*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*18726\/8080. Let p = m - 51\/101. Calculate the common denominator of p and 91\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 58714?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*p - 5040 = 44*p - 250*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from uusssisuiusu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69879890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 4 (b) 13 (c) 17 (d) -1.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2377626093 to the nearest integer?\nAnswer: 48761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 321*j**2 + 321*j**2.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7171209299 minus 3?\nAnswer: 7171209296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 236 (base 11) to base 2\nAnswer: 100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2799630, 5599257, 8398884, 11198511, 13998138?\nAnswer: 16797765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(((-299)\/(-273))\/23). Calculate the greatest common factor of 2247 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5721 - -5760) + 9 + 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -1, -16, -51, -112, -205?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 1959132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.563.\nAnswer: -2.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3*-140)\/(2\/(-260)). Round n to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 4:35 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*a + 1. Let q = 146\/1485 + -1\/135. Sort q, a, 1\/9, 1\/4 in ascending order.\nAnswer: q, 1\/9, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.4. Let k = 2.4 + -2.5. Let t = -2\/67 - 120\/469. Which is the nearest to t? (a) k (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1167 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80006096 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 2. Let i = s + 9. Suppose -5*z - 3*g = -57, i = 2*z - 4*g + 2 - 4. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42858443, 42858439, 42858437, 42858437?\n\"Answer: f**2 - 7*f + 42858449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 9:28 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/202, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/30 - (-2 + (-8)\/3). Suppose 5*w + 7 = 6*f - 3*f, o*f = -3*w - 11. Let i = -16 - -319\/20. Is f at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 25. Suppose -1 + 9 = -4*z, 0 = 2*l + 4*z + n. Suppose 4*d - 80 = -l*d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.63 * -0.04.\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.136 - -0.0549.\nAnswer: 0.1909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 8232.13?\nAnswer: 24696.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(-24)*m)))\/m*m*m**24\/m assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nndj. What is prob of sequence jnj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**2 - 25*y + 5. Let d(u) = -u**2 - 5*u + 1. Let r(o) = -6*c(o) + 30*d(o). Let g(j) = 2*j - 16. Determine r(g(v)).\nAnswer: 48*v**2 - 768*v + 3072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**8\/4480 + 3*b**7\/2240 - b**6\/480 - b**3 + 21. Let v(u) be the third derivative of i(u). Factor v(x).\nAnswer: -3*x**2*(x - 2)*(x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85665*x**3 + 42*x**4 - 34*x**4 - 85667*x**3 - 4 + 15*x**2 as i*x + q*x**3 + n + p*x**4 + h*x**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 208*o + 209*o + 102078 = 0, -o = -3. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89936473 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.06 + -108?\nAnswer: -114.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, 4, -0.4, -78 in decreasing order.\nAnswer: 14, 4, 3, -0.4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 2145 and 2153 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 + 1 + 83*w - 45*w - 39*w. Let a = -3 - -4. What is g(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-32)\/(-20))\/1)\/(6\/15). What is the third derivative of -10*q**5 + 18*q**5 - 15*q + 5*q**b - 9*q**5 - 2*q**2 wrt q?\nAnswer: -60*q**2 + 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131355533 (base 6) to base 13.\nAnswer: 6cc1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*sqrt(33)\/(sqrt(12)\/sqrt(4)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 - 1336*q**4 + 11784*q**3 - 27376*q**2 + 24724*q - 7800.\nAnswer: 4*(q - 325)*(q - 6)*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 693\/72 - 9\/(-24). Solve -14 = -l*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f - 5565 = 25*f + 31*f + 105*f for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.388 - -6.338. Which is the second smallest value? (a) 12 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Let i(v) be the first derivative of -2*v**3\/3 - 7*v**2\/2 + 2*v - 4171. Let p(x) = x**2 + 6*x - 1. What is o*p(d) + 2*i(d)?\nAnswer: -d**2 + 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1144.\nAnswer: -3\/1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 9?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c)**(-9))**(-9\/4) assuming c is positive.\nAnswer: c**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10258999 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80205312 divided by 9024.\nAnswer: -8888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 6*b + 9. Let o be m(-6). Suppose 0 = 2*s + 1 - 7. Calculate the highest common factor of o and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 1146. Let c(u) = u. Give c(i(d)).\nAnswer: -d**2 - 1146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10*c - 40. Suppose 0 = -3*a - 1 + 4. Sort a, 4, c in descending order.\nAnswer: c, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447238460, -447238461, -447238462, -447238463, -447238464, -447238465?\nAnswer: -447238466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1) + (-131 - -133). Solve o = -g*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 y when four letters picked without replacement from {d: 5, y: 13}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 21*g**5\/5 + 7*g**4\/12 - 169*g + 70. Let z(y) be the first derivative of v(y). What is the third derivative of z(o) wrt o?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(((k**24\/k)\/k)\/k)\/k)\/k*k\/k**1*k**18\/k*k**(1\/45)\/k*k assuming k is positive.\nAnswer: k**(1711\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 + 4 = 0. Suppose d*x - 42 = 8. Let y be (-3 + x - 2) + (-1 - -1). Which is bigger: y or -10\/23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2776039594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1097272126, -1097272125, -1097272124, -1097272123?\nAnswer: -1097272122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4, -4 = m - 99*s + 96*s. Put -2, 9, -25, m in ascending order.\nAnswer: -25, -2, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 0, 25, 14, -2 in decreasing order.\nAnswer: 87, 25, 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198 + 458. Let a be f\/40 + (-5)\/2. Solve -2*n - 19 = 5*r + 1, 16 = -a*r + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36286236 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -3.2, -2\/13, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 29 = -32 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -10. What is the third derivative of -11*b**2 - 8*b**2 - m*b**2 - 5*b**2 - 29*b**3 wrt b?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 2*z**2 + 2*z + 5. Let d(g) = g**2 + g. Let r(f) = -5*d(f) + j(f). Let w(i) be the first derivative of r(i). Factor w(b).\nAnswer: -3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*287216\nAnswer: 11488.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -6, -2.7, -3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2 + 3. Suppose 0 = -3*k + l*i + 39, -i - 39 = -k - 2*k. What is the units digit of 2\/5*(k - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 2*n - 2*n + (n + n - n)*(-1 + 4 - 4) + 4*n - n - n + (1 + 2 - 4)*(1 - 1 - n) - 210*n + 106*n + 21 + 106*n as p*n + h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -15 + (6 - 2) + -21 - 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 2\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15897 divided by 757\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17249, -17029, -16669, -16175, -15553, -14809, -13949?\nAnswer: -12979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6138 is divided by 869?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-60))\/(0 - (-4)\/(-18))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 261 + -270.5. Let v = 444.467476035 - 453.9674765. Let l = v - q. What is l rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 + -5.8. What is j rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 0 - -35) + 0 + 1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y\/y**(13\/4)))\/y)\/y)\/y)\/y*y*y)**(2\/75)*y**(2\/21)\/(y**(13\/2)*y) assuming y is positive.\nAnswer: y**(-258\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -64520000 to the nearest one million.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqqqqqqqqvqqqqqqq. What is prob of picking 2 v and 2 q?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*y - 1746 = -147*y. Let x = -170 - y. Solve -5*d - 4*i + 2 = -7*d, -3*d - 3*i = -x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 20*m + 64. Let s be q(-20). Let d = -56 + s. Suppose d*v - 263 = -x + 10*v, 0 = -4*x - 4*v + 1112. What are the prime factors of x?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.111, -5, 0.2, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -111. Determine t, given that -2*t**3 - s*t - 4*t**2 - 94*t + 176*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 4*x + 17. Suppose -2*z = -x + 6. Let o(b) = b**2 + 3*b + 4. Let a be o(-3). Calculate the greatest common factor of z and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6880 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -14*v + 6*v. What is the nearest to v in -3, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -1.2. Let i = 10 - 9.8. Which is the closest to i? (a) -0.3 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -577*h + 575*h + 4 = 0. Solve -h*g = -2*x, -34*g = -29*g + 2*x + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/105)\/(((-84)\/160)\/(-7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*q - 16335 - 9315. List the prime factors of q.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.275 - 2.495. What is w rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 39*s + 175. Let m(p) = -p**2 - 26*p - 117. Let v(o) = 5*h(o) + 8*m(o). Calculate the lowest common multiple of v(10) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1559052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s**3 + 4*s**2 + 5*s. Is m(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*v - 10. Solve 4*x + 0*x = 5*d - 25, -5*d - v*x - 20 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350068, 349549, 349030?\nAnswer: 348511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + o - 1. Let s(i) = -8*i**2 + 9*i - 9. Let h(v) = 18*g(v) - 2*s(v). Let l(y) = 5*y. Give l(h(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1605*q - 700. Let u be g(-5). Let x(m) = -m + 4. Let k be x(-7). Suppose -k*d + 2454 = -u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3)\/180)\/(25\/75)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k - 8. Let x be i(-3). Suppose 745 = x*v + 95. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/6*v**4 + 0*v + v**5 + 2\/3*v**3 + 0 - 1\/6*v**2.\nAnswer: v**2*(v + 1)**2*(6*v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 5*l + 3. Let t be d(3). Suppose -5*z + 5*r = 5, 3*r - t - 2 = -2*z. Let u be (7 - 1)*(-2)\/(-6). Solve u - z = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyyojmygjjooymmy. Give prob of sequence ojjy.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 18715 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: 180\/(-189)*1253\/895*-6*(-22)\/(-4)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 62 = -2*g, -5*g + 23245 - 23400 = 5*i for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -110 (c) 109 (d) 25\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -32*b**2 - 120*b + 253. Let r(n) = -13*n**2 - 60*n + 126. Let v(o) = -2*p(o) + 5*r(o). Factor v(u).\nAnswer: -(u - 2)*(u + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66.6802 millilitres?\nAnswer: 0.0666802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18450018.\nAnswer: 2, 3, 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {s: 1, q: 1, e: 2, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) -0.9 (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = f - 23, y + 2*f + 23 - 33 = 0. Solve -p + 2 = y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*j - 27 = 0, -x - j - 11 = 6. Let u(c) = c**2 - 3*c - 1. Let s be u(-2). Let y = s - x. Round y to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002006 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 1. Let z be w(2). Suppose 0 = -4*u - 2*p + 10, -u = 2*p - z + 4. Solve -u*d = 15, -2*d - 1 = -m - d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = 4*w - 23, -4*n = 3*w - 8. What is the remainder when 22 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*4\/(-12))\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdaj when four letters picked without replacement from makakkdakjd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -151.245448?\nAnswer: 151.045448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 789*w**4 + 386*w**3 - 8*w**2 - 4408338 wrt w?\nAnswer: 3156*w**3 + 1158*w**2 - 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + (1*sqrt(150) - sqrt(150)) - sqrt(150))\/(sqrt(300)*2 + sqrt(300)))**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) 0.07 (c) 3 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w - 2*j + 70, 2*j = 5*w - 110. What is the greatest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*(-6)\/(-30) + 2. Suppose 8*t - 4*t + 5*l - 4599 = 0, 0 = -j*t + 4*l + 5800. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 + -2 + (-34 - -19) - -9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, and 1 z when three letters picked without replacement from {x: 1, y: 1, m: 1, k: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 157248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 5\/66, 5?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:25 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342432 and 22509?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-82456)\/(-20) - -3) + 6\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*s + 2. Suppose -o = -4*i + 279, -2*i + 6*i - 285 = -s*o. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjzzzkkk. What is prob of sequence kzz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**3 - 45*i**2 + 7*i - 9. What is o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z. Let v = 10 + -7. Let q(k) = -k + 1. Let i(o) = -6*o + 5. Let h(p) = v*i(p) - 15*q(p). Calculate h(y(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -115*k + 168*k - 55*k. Let q = 0 - -2. Let z(v) = -17*v**q + 2 - 2. Determine z(m(t)).\nAnswer: -68*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49441\/7038 - 12\/391. Let z(y) = -y**2 - 4*y + 6. Let c be z(-7). What is the common denominator of s and ((-22)\/9)\/((-8)\/c)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31590 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*g**3 - 862*g**2 + 1284*g + 18.\nAnswer: 2*(g - 3)**2*(72*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.46 * -113340\nAnswer: 392156.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1927*t**3 - 4*t**2 - 14*t - 8. Does 10 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 40, 56, 72?\n\"Answer: 16*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-165)\/44)\/(51\/(-48) + 1). Let t(n) = -3*n**2 + 15*n + 15. Let y(c) = -c - 1. What is g*y(l) + 4*t(l)?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 - 27 - 39)*(-3*j + 5*j + j)*(4 - 1 - 5).\nAnswer: 864*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -1) + -1 + 3. Let g(o) = o**3 + o**2 + o + 1. Let y be g(b). Factor x + x - 16*x**2 - y + 32*x**3 + 1.\nAnswer: 2*x*(4*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 26*g + 100. Give a(29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66896 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -467?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 3*x + 5. What is j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-30))\/(30\/(-450))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 2460258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzm when four letters picked without replacement from zzmzzzzzzzzzz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062455 is divided by 1307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1122*p - 2807. Is j(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266 + 329. What is the remainder when x is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/18)\/(3\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 8*m. What is the lowest common multiple of ((-2)\/4)\/(148\/(-1776)) and j(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - i + 533 = 0, -4*i + 1328 = -3*x - 2*x. Let g = x + 262. Which is smaller: -17 or g?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 549 and 8235?\nAnswer: 8235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/8 (b) 2\/5 (c) -1 (d) -2\/669 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 2. Let l(a) = -1. Let u(d) = 4*l(d) + m(d). Suppose -3*z - 15 = 3*h - 4*z, 0 = -4*z. Let g be -18*(-2 - h\/3). Determine u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 2*j + 29, -20 = 4*w + 2*j. Put -3, 3, -5, w in ascending order.\nAnswer: w, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232291.62ms to hours.\nAnswer: 0.06452545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 201.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -595 + 597. Suppose 3*l - 3*m - 45 = -0*m, -66 = -5*l + f*m. What is the remainder when 20 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31 (b) -4 (c) -0.115 (d) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g + 6. Let h(i) = 9*i - 7. Calculate -3*h(y) - 4*t(y).\nAnswer: 5*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15\/(-20))\/((-3)\/156)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132462847\/5 greater than 26492568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 23274?\nAnswer: -6982.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22089 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmommmommmom. What is prob of sequence mom?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 6*u - 23. Give v(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146349995 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**5\/60 + 5*f**4\/12 - f**3\/6 + 251*f**2 + 1. Give m(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.026 - -0.074. What is the closest to 1 in 1\/3, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -0.4 (c) 9\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5261*y - 23. Let m be u(4). Suppose 8*v - m - 3275 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*k**5*p**2 - k**4*p**2 - 6*k*p - 3*k + 22*p**2 wrt k.\nAnswer: 2840*k**3*p**2 - 12*k**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.92 - 0.08. Let g = 0.53501 - 0.83501. Which is the third smallest value? (a) o (b) 7\/10 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7, -1, 3245.\nAnswer: -11, -7, -1, 3245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1656 and 41\/11673.\nAnswer: 2147832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29890 divided by -5978.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 + -161. Suppose -2*w - 4587 = 5*r, 3*w - 4607 = 8*r - 3*r. Let j = 943 + r. Calculate the remainder when u is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54675269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, 1.1, -16 in descending order.\nAnswer: 1.1, -5, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23810481.\nAnswer: 3, 587, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -13. Solve 7*c - 4*c - 21 = -3*w, 4*c - a = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 o, and 2 d when four letters picked without replacement from {g: 2, x: 1, d: 2, i: 2, o: 1, e: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 254797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 plus 7.6228?\nAnswer: -20.3772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/175366 and -47\/16.\nAnswer: 1402928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203004 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/116 + (725\/110)\/5.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/60 + 19*k**4\/24 - k**3\/6 + 18*k**2. Let s be n(-19). Sort -6, -5, 0, s.\nAnswer: -6, -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 2\/12479 (b) -0.4 (c) 6 (d) -0.1 (e) -3 (f) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4859625*w**2 - 684725?\nAnswer: 9719250*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from vjvn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 6:51 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29a42 (base 11) to base 10.\nAnswer: 42517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4 - 2*n + 0 + 0 - 7. Let x(s) = -s - 4. Let d(l) = l + 5. Let z(y) = 3*d(y) + 4*x(y). Give -p(h) + 3*z(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127349542 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + -77)*18\/(-18)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4148367 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3189, 4135, 5081, 6027, 6973?\nAnswer: 7919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**2 - 18*g + 4. Let o(s) = 15*s**2 - 26*s + 6. Let w(y) = -5*o(y) + 8*q(y). Let z be w(3). Sort 3, 0, -4, z in decreasing order.\nAnswer: z, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028724 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18252*l**2 + 468*l + 3.\nAnswer: 3*(78*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose 4*i - k = 6. Solve -8 = 4*v - 4*g, -4*g = -4*v - i*g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116423729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 5. Let z(b) = 1 - 2 + 5 + 3*b. Let d(t) = 4*j(t) + 5*z(t). Let o(w) = 6*w**2 - w**2 - 2*w**2. Give o(d(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84371, 84559, 84747, 84935, 85123, 85311?\nAnswer: 85499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = 5*w, -5*a + 40 = -3*w - w. Suppose a*v = 8*v. Let z = v + 3. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*h = 378, c + 2*h = 94 + 100. What is the highest common divisor of 23 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 19*v - 30. Find a, given that -17*a**3 + 30*a - 15*a**4 + 2*a**3 + 92*a**v + 5*a**5 - 57*a**2 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 174704.6 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:33 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7688 - 1441*i + 23063 - 7691 - 7684.\nAnswer: -1441*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1355 (base 11) to base 5\nAnswer: -24004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*n**3 + 11561*l**3*n*v**3 - 4*l**2*n**3*v - 2*l**2*n*v + 53*n**3*v**3 - 10*n**2*v**3 wrt l.\nAnswer: 12*n**3 + 69366*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -797227051.1 rounded to the nearest 1000000?\nAnswer: -797000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 56*r**2 - 4*r + 45. Calculate the remainder when g(-24) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -558, -13917, -40074, -79029, -130782, -195333, -272682?\nAnswer: -362829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1395 + 1508 = 113*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(3) + -4.\nAnswer: -9 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 - 58 = 107*x + 107 + 418 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 348.82 + -349. Which is greater: -1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + q**2 - 87*q + 87*q as n*q + y*q**2 + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:39 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 687 = 33*g - 93 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849.3849551 rounded to two decimal places?\nAnswer: -1849.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 + -371?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = -2*w, -4*w + 3 - 33 = -5*v. Suppose 2*u + 2 + v = 0. Let r(h) = -3*h. Let d(l) = -4*l. Calculate u*d(z) + 5*r(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -10*y - 228. Let i be a(-23). Suppose 0 = i*f - 2*d - 10, 9*d - 4 = 11*d. Calculate the remainder when 34 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/30*60\/84.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 64781.2586 to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*c + 19*c - 14. List the prime factors of c\/36*-3831 - (-2)\/12.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25521 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267792?\nAnswer: 2, 3, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -279*y + 274*y - 22, 2*k + 10 = -3*y for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -17*s**3\/3 + 3*s**2\/2 + 9*s - 98. What is the second derivative of z(p) wrt p?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)*-10 + 0. Suppose 4*d + s = 4*r, -5*r + r - 5*d = -65. Let j = -28 - -47. Calculate the remainder when j is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 745*d**4*o**3 - d**3*o**3 + 110*d**3*o - 23790*d**2 - 7*o**3 wrt d.\nAnswer: 17880*d*o**3 - 6*o**3 + 660*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24 + ((-25975996)\/(-8874))\/122\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*n**3 + 418*m**3*n**2 + 6*m**3*n - 44*m*n**4 - 2*n**4 + 4*n**3 wrt n.\nAnswer: 12*m**3 - 1056*m*n - 48*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*4)\/(6\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 0.2, -346\/7, 1\/8, -2 in decreasing order.\nAnswer: 81, 0.2, 1\/8, -2, -346\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -425 - -432. Which is the second smallest value? (a) 4 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13275 divided by -26?\nAnswer: -13275\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4032 = 6*o, 15*k = 19*k + 16. Calculate the remainder when o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 5*i - 11. Let u be v(5). Let p = u + 8. Let d(f) = -3*f + 7. Let j be d(6). Put -4, j, p in ascending order.\nAnswer: j, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + (3 + 0 - 1)*(-2 + 1 + 2) + 283 - 29 + 0)*(1 - 1 - 4*h**2).\nAnswer: -1028*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*-1*(-1)\/2. Let x(k) = -2*k + 2. Let j be x(4). Let d be (-4)\/18 + j\/(-27). Is f less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 6819 = -6447. Solve 0 = 39*p - 47 - h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111077 and 1108?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 0*a)*(2 - 5 + 1) - a + 0*a + 2*a - 3*a + a + 3*a - 4 + 4 - a + (6 - 3 - 1)*(a - 4*a + a) + 2*a - 2 + 2 - 103*a - 666 + 666 + 9 + a - 9.\nAnswer: -101*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1243, -9858, -33223, -78712, -153699, -265558, -421663, -629388?\n\"Answer: -1229*m**3 - m**2 - 9*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t\/(t\/(t*t**(-2\/7))))**33 assuming t is positive.\nAnswer: t**(1089\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 1. Let r be j(5). Let m = r - 29. Suppose 5*a - m = 195. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 25. Is (-450)\/(-9) + (f - -2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57192580 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4768*v**4 - v**3 + 385*v**2 + 39?\nAnswer: 114432*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22a - 117231?\nAnswer: -11745b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - 2) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 17 = 4*d. Solve -k + 18 - 20 = d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -88*a. Let m(x) = -3*x + 0 + 2 + 0 - 2. What is m(i(v))?\nAnswer: 264*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 32 = -3*t, 3*t - 4*p + 398 = 394 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 437*r**2 + 224*r - 456*r + 232*r in the form q + x*r**2 + f*r and give x.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 17*m + 3*m)*(4 + 1 - 6)*(-5*m**2 + 4*m**2 + 2*m**2) + (-2*m + 5*m - m)*(-127*m**2 + 74*m**2 - 54*m**2).\nAnswer: -233*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + u = 0, -5*d - 5*u = -2*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1234 (base 6) to base 9\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsqqqffsqfqssqdqdqq. What is prob of picking 1 s and 1 q?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 179 + 40 + 74 + 34 + 31.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 76, 166, 292, 454?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817597 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-2*3 - (sqrt(144) + sqrt(144) + -1*sqrt(144)*1))\/((sqrt(192) - (sqrt(192) + (sqrt(192) + -3*sqrt(192) - sqrt(192)))) + sqrt(432)).\nAnswer: -7*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/6*(-2 + 42\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13031132331 + -101?\nAnswer: -13031133032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106128 + -48724. What are the prime factors of x?\nAnswer: 2, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.24 - 0.24. Let y = 178225.0089989 - 178235.009. Let g = y + k. What is g rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 17*x**2 + 291*x + 4. Let m(s) = -3*s**2 - 1. Determine -l(g) - 6*m(g).\nAnswer: g**2 - 291*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/4 - (-2)\/(-4). Let u(k) = k**2 + 3*k - 8. Let x be u(-5). Suppose -t*g + 32 = -4*d, g + 12 = -2*d - x*d. Sort 3, -4, g in ascending order.\nAnswer: -4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1935 - 713 - 3055552*g**2 + 3055311*g**2 wrt g.\nAnswer: -482*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4262 and 121.\nAnswer: 51.5702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + 2 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23766522 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -104c5?\nAnswer: 104c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -213 and 3.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-970*g**2 + 1093*g**2 - 3*g + 4*g)*((-2*g - 3 + 3)*(5 - 4 + 0) - 13 - 13 + 24 - 18*g).\nAnswer: -2460*g**3 - 266*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0189907 + -3108\nAnswer: -3107.9810093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - 1*1*sqrt(65))\/(-4*(sqrt(5)*-4 + sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/21 - 0) + (-536)\/14. Suppose -3*v - p = 1, v - 5*v = -5*p - 5. Which is the nearest to -1? (a) 0.2 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185.52 - -192. Let l = p - 0.18. Let w = l + -6.30000224. What is w rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4468, -16356, -36158, -63868, -99480, -142988, -194386?\n\"Answer: k**3 - 3963*k**2 - 6*k - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 44 - 32 = 0. Let i = 45 + d. Suppose -5*s + i = -107. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - u**5 + 5206*u**3 + 57248*u**2?\nAnswer: 240*u**3 - 60*u**2 + 31236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from raatddddadadtardr.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 23*o + 60. Let p be c(20). Let t(f) be the second derivative of 0 - 4*f - 1\/48*f**4 + 0*f**2 + 1\/80*f**5 + p*f**3 + 1\/60*f**6. Factor t(j).\nAnswer: j**2*(j + 1)*(2*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7. Suppose m = h - 2*h - 6. Do -4 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*f - 40 = -2*l, f = -l + 12. Let c be ((-14)\/4)\/((-5)\/l). Solve -c*n = -2*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1 - r - 6 + 2. Suppose 387*d - 390*d + 12 = 0. Suppose 42 - 18 = -5*o - 2*a, -d*a + 8 = -4*o. Calculate w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 19*b + 4. Determine g(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {e: 3, k: 5, j: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0210944+772.99\nAnswer: 773.0110944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5958820771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12695 + 18514. What are the prime factors of h?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 44*c + 2. Let f be g(-3). Let t = 241 + f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/9, -6, 2 in decreasing order.\nAnswer: 2, 1\/9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5354.249 milligrams in kilograms?\nAnswer: 0.005354249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-8*3)*3*10\/20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3 = k, -3*x - 3770*k - 16 = -3768*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-30) + (-364)\/210)*(-6)\/250?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 44*n - 260. Suppose 4*v = n, -d - 4*d + 70 = v. Do d and 13 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67 or -11092?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 506 - 1993\/4. Let u = o - 8. Let g = 1.003 - 0.003. Which is the fourth smallest value? (a) g (b) 5 (c) u (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225 + 54412872195?\nAnswer: 54412870970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1760 - 1182. Let s = i + -242. Does 42 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t - 44. Let w be g(13). Suppose -6*x + w*x = 4. Suppose x*z + 7*z - 6507 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1030841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 x when four letters picked without replacement from {k: 3, r: 4, x: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:41 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*z - 85 = -8*y, -3*z + 35 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1988 by 5.\nAnswer: -1988\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -27*w**3 - 6*w**2 + w + 7. Let g be h(4). Let r = 3695\/2 + g. What is the common denominator of r and ((-2)\/(-12))\/(8\/(-428))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/(o*o\/(o\/o**(-2\/5))))\/o)**16)**(-49))**(-30))**(1\/6) assuming o is positive.\nAnswer: o**(-2352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34984 - 5097*j**2 - 34984 + 5109*j**2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*n**3 + 2843*a*n**2 - 1013*a - 2*n**3 + 315*n**2 + 1059*n wrt a.\nAnswer: 2*n**3 + 2843*n**2 - 1013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92262 or 92284?\nAnswer: 92262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5214 divided by -79\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {q: 6, v: 1, p: 2, e: 2, x: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*k + 8 = 0, l + 4*k + 20 = 2*l. Let o = 64 + -62. Suppose 3*z - 3 = -o*n, -5*n - 4*z - 1 = -5. Solve -l*g + g - 3 = n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669534191?\nAnswer: 83, 8066677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44329451 is divided by 39334?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(9\/4)\/q*q)\/(q\/q**(-13)))\/((q*q\/q**(-9))\/q*q*q*(q**(-4\/11)*q)\/q*q) assuming q is positive.\nAnswer: q**(-1073\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.25 and 1413.\nAnswer: 1415.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/(-374))\/((-65)\/1733). Let g = 7\/442 + q. Factor 0*m + 0 + g*m**4 - 2\/5*m**2 + 7\/5*m**3.\nAnswer: m**2*(m + 2)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009393 rounded to six decimal places?\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116.612 - -117. Let t = 0.288 - f. Which is the closest to -3? (a) 2 (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 217*z - 70. Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1908 - -1563. Let q = 48547\/14 - s. Find the common denominator of q and (20 + -17)*(1 + (-74)\/(-24)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1061690 and 6670.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuho when four letters picked without replacement from hmmmuqomimmmmo.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2)*(-4 + 3). Let y be 2 + q*2 - -3. What is the second derivative of 0*w**5 + y*w**5 - w - 2*w wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477209863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -723278 or -723266?\nAnswer: -723278","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k - 8 with respect to k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.654157 to one decimal place.\nAnswer: 30.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.5 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1\/4, -0.8, 0.13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -15320?\nAnswer: -83\/15320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 126*r**5 - 690*r**4 + 10550*r**3\/7 - 11490*r**2\/7 + 6240*r\/7 - 1352\/7 = 0.\nAnswer: 1, 26\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.25 and -7.41.\nAnswer: -7.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)*(-480)\/3. Let h = -105 - m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/4)\/(8 + 221\/(-26))*-1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3320 + 3312 + r + 9*r + 3313 + 3320 - 13261.\nAnswer: 10*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*i + 26, -4*l - 5*i = -7*l - 1. Solve -l + 3 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 621 divide 2169774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1281*x**2 + 1285*x**2 + x + 2 - 2537*x**2 to w*x + g + q*x**2 and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -45.5. What is the second biggest value in 92, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13815 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 19. Let q(w) = -6*w + 7. Let p be q(6). Let f = 33 + p. Suppose 0 = -f*m - 3*m. What is v(m)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 2*z - 3*z + 0*z + ((0*z - 5*z + 4*z)*(-1 + 0 - 3) + 22 - 22 - z)*(2 - 5 + 0)*(-3*z - z + 6*z) as q*z + t + r*z**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(192) + sqrt(192) + 3 + -2 - (-4*4*sqrt(147) + sqrt(147))))*-4)**2.\nAnswer: -3872*sqrt(3) + 702784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 43135326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001272908 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 7\/31, -8, -1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268579?\nAnswer: 419, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 1120 = -40. Calculate the smallest common multiple of 45 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 547*v - 9 - 7.\nAnswer: -547*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-17)*c**(-14) assuming c is positive.\nAnswer: c**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 119, 114, 107?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 divided by -3.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*z - 16 = 609*z + 11*v, 48*z - 60*z = 4*v + 32 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m + 2. Let w be i(0). Put -9, w, 5 in descending order.\nAnswer: 5, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 - 35*a**3 - 2458737*a + 40*a**3 + 4 + 2458737*a.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17246 and 83.2?\nAnswer: 17329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 13 (b) 1\/16 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/258 and 1\/9.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 27.54. Let m = 0.06 + k. Let s = -35 + 35.1. Which is the nearest to 0? (a) 0.5 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97218351.\nAnswer: 3, 37, 137, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013945 rounded to five decimal places?\nAnswer: 0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -768 divided by 8?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 4\/(4\/3) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 - 462454?\nAnswer: -462372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 9931218.\nAnswer: 9931218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-35)*15*17\/(-11781)*88\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20 - (1 + 1 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, o: 3}. What is prob of sequence momm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, f: 2, n: 1, c: 1, m: 2, u: 2}. Give prob of sequence cnmm.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -5*m**8\/336 - 4*m**7\/105 + m**6\/30 + m**5\/6 + m**4\/24 - m**3\/3 - m**2. Factor n(c).\nAnswer: -(c - 1)*(c + 1)**3*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1455 and 533694?\nAnswer: 2668470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -25 - 3. Suppose 2503 = 5*b - 4*b + o*y, 5*y = 10. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 6*g - 12. Calculate the remainder when 95 is divided by d(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -2, -2\/7, -17\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 80*n**2 + 68*n + 695. Give a(79).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/9)\/(3\/9). Let z = s - 1. What is the closest to z in 3, 4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*((-208135)\/4)\/(54\/(-36)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) - (-451)\/484. Put 22, m, 1\/8 in ascending order.\nAnswer: 1\/8, m, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -20, 3\/5, -3, 1\/6, -2\/1173?\nAnswer: -2\/1173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28603480 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -183b (base 14) to base 7\nAnswer: -15504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15381 + -42?\nAnswer: -15433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -905, 451, 2705, 5851, 9883, 14795?\nAnswer: 20581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*i - 102*i - 50 = -216*i. Which is the fourth smallest value? (a) -19 (b) i (c) 3\/8 (d) 4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sismlddlsslm. What is prob of picking 1 m and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12529 is divided by 2087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 3*j**2 + j + 2. Let l be t(-3). Let x be (-28)\/16 + l\/4. Let m be ((-60)\/16)\/(x\/8). Solve -3*q + 23 = 5*r, 0 = -r - 4*r + 5*q + m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 365, 269, 99, -181, -607, -1215, -2041?\n\"Answer: -6*p**3 - p**2 - 51*p + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 18. Let y be 314\/f + (-2)\/10. Let p = 99 + y. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4\/3 - 10*y**3 + 52*y**2 - 320*y\/3 + 64 = 0.\nAnswer: 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 71501597831.\nAnswer: -71501597825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 = 8. Suppose 0 = 3*j - 4 - s. Which is the third biggest value? (a) -1\/10 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -20*b**2 + 60085*b + 180277. What is k(-3)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.086427 - -109.593\nAnswer: 109.506573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5895441*a*j**2*u - 9*a*j**2 - 6*a*j*u - 2*a*j + 51*j**2 + 73693 wrt u?\nAnswer: -5895441*a*j**2 - 6*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 20 + (-10 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 + 177. Let i = -289\/5 + n. Let y(q) = -260*q - 1296. Let g be y(-5). Which is the smallest value? (a) 1 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 43. Suppose 2*u - 4 = -5*x - 2, -3*u - 10 = x. Suppose -x*r + 10 = 2. Put t, r, -5 in decreasing order.\nAnswer: r, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17074, 17102, 17010, 16792, 16442, 15954, 15322, 14540?\nAnswer: 13602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142670163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 1 - 10*t**2 in the form i*t**2 + j + s*t and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30925109 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 (base 7) in base 11?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14686.24 and -7?\nAnswer: 102803.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 302.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0*v**2 + 1 + 3*v + 57\/56*v**8 + 0*v**7 - 1\/2*v**4 - 2\/3*v**3 + 0*v**5 + 0*v**6. Find the third derivative of x(b) wrt b.\nAnswer: 6840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 17.5. Which is the smallest value? (a) -1\/3 (b) s (c) 2 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 6)*-1 - 1. Sort 1, 8, -4, z in decreasing order.\nAnswer: 8, 1, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33274 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5323 (b) 12 (c) -0.3 (d) 3\/8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3093115670?\nAnswer: 2, 5, 23, 131, 251, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1408 = -f + w, f + 5*w = 5*f - 5631. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1085082 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/20 + 13\/(-4). Let n(m) = -m**3 - m**2 + 5*m + 4. Let i be n(w). Suppose 3 = 5*o - i. Is 2 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69594 divided by 69594?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/12 and -65\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkb when three letters picked without replacement from dkdb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 22524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a194 (base 12) to base 7.\nAnswer: 565642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6))\/(3\/(-150)). Suppose -3*l = 2*l - x. Solve 0 = -4*d + 1 - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 49. Let j be v(-10). Let s = 95 - j. Suppose -3*h = 2*o + 23, o + 2*o = 5*h + 13. Put h, -9, s in ascending order.\nAnswer: -9, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b5 - 13a?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3 + 28. Suppose -2*j + 6*j + p + 2 = 0, -5*p + 15 = -g*j. Is j > -2\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 0, -3, 199, -25 in ascending order.\nAnswer: -25, -5, -3, -2, 0, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r - 2*r)*(-12*r**2 + 258*r - 258*r) + 0*r**5 - r**5 - 2*r**5 - 26*r**5 - 8*r**2 + 8*r**2.\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:39 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*-1)**2 - sqrt(152)\/sqrt(128)) + 0.\nAnswer: -sqrt(19)\/4 + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9)\/((((-380)\/(-19))\/2)\/5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277391\/51204 + 3\/4267. Find the common denominator of -47\/10 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 39*q + 13. Let b be d(-20). Let k be b\/(7\/(-2)) - -3998. What is k rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*m - 56. Let h = -15 - m. Solve 5*x - 15 = h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005406 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4245689687 and -3.003?\nAnswer: 4245689690.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 minus -857.72?\nAnswer: 660.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 418802 + -298813. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4\/3 (c) 0 (d) 0.5 (e) -10\/169 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + (-836)\/(-8). Suppose 3*r + 4*n - 31 = 2*r, 3*n - i = -5*r. Suppose 14*z + 35 = r*z. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjpj when four letters picked without replacement from qjjahqqqap.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:38 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 142797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*r + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67233924413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 8*h**5 - 1114*h**4 + 17208*h**3 - 45472*h**2 + 10400*h + 40992 = 0.\nAnswer: -3\/4, 2, 14, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1013 - -1aaa5?\nAnswer: 19a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2002012 + 32010?\nAnswer: -1310002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2334 - -14582. What is the remainder when n is divided by 245?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 - 19*b + 6*b**3 + 21*b + 2*b**2 + 7*b**3 - 1 to the form x*b + q*b**4 + s*b**3 + p*b**2 + f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, q: 2}. Give prob of picking 1 g and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x - 4*x + 2*x)*(-x**2 + 1 - 2 + 2) to the form t + d*x**2 + s*x**3 + b*x and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.0026 - -1. What is b rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 225680 + 98788 = 39*b. What are the prime factors of b?\nAnswer: 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 8*z + 10. Let a be r(-9). Let q be ((-13)\/(-13))\/(a + 0). Solve 2*b - q = -t, 3 = 4*b - 4*t - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -11, 147, 305, 463, 621?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*r + 598*r + 600*r + 606*r - 2409*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 47. Suppose 7*p - p - u = 0. Suppose -p*h + 12 = -h. Solve 0 = -k - 3*m + 3, -h*m = 3*k + k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 6:45 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 196*x**2 + 156*x**2 + 2.\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 19*o + 18 = -8*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-32 - -12) + 14 - -21\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (43 - 4176\/120)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 4 - 50*q + 14 - 54 wrt q.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -278, -1332, -4240, -9944, -19386, -33508?\n\"Answer: -157*j**3 + 15*j**2 - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 240, 471, 794, 1209, 1716, 2315?\nAnswer: 3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (467\/934)\/(133\/2)?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-476)\/(-170) - 2\/(-10). Suppose 4*j - 237 = l, -2*j - k*l = -j - 56. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78.5 * 35.379\nAnswer: 2777.2515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 538*i + 216.\nAnswer: -(i - 108)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 40*x\/3 + 13\/3.\nAnswer: (x - 13)*(3*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833961*i + 21638 = 834310*i for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1154, 0.5, -8.7?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3611.5781 - 3848.538. Let g = -0.0401 + l. Let t = -235.87 - g. What is t rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -143165 < 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*c + 887*c + 309*c as o + n*c and give n.\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mim when three letters picked without replacement from {m: 7, i: 3, e: 2}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9261183119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(80))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/5))**(2\/49)\/(g\/(g**17\/g)*g*g*g**(1\/6)))**(-22) assuming g is positive.\nAnswer: g**(-207119\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66\/89 - 10287\/890. Let t = -64 - -49. Find the common denominator of (-446)\/(-84) + t\/105 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, 2\/3, -4, 3 in decreasing order.\nAnswer: 3, 2\/3, 0.27, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -228*d - 227*d + 456*d. Let o(b) = -b - 2. Determine 4*j(c) - o(c).\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/6)\/(1\/3))\/(-9)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29999?\nAnswer: 131, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**6 + 41*d**5 + d**4 + 1780*d**2?\nAnswer: -480*d**3 + 2460*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 1754*r - 1758*r + 71, 5*r = -3*k + 110 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z**2 - 34*z - 114. Give k(-3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1530423 - 991688. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 264, 268, 264, 246, 208, 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2, -2*x - 3*x = -2*y - 49. Let p be 10\/15 - 7\/(-3). Suppose 18 = 2*u - 2*t, -p*u - x = -2*t - 40. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 36 = 16*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7))**(-9\/4))**(1\/30))**(-44) assuming q is positive.\nAnswer: q**(-33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3341668*u**5 + 4046*u**2 - 3*u + 80 wrt u.\nAnswer: 200500080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*b**3 + 72*b**3 - 49*b**3 - 10*b**3.\nAnswer: -115*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 13403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46185 = -72*f + 43095. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(0 + 0 + 3*y) + 0*y + 5*y - 3*y - 2*y - y + 5*y)*(-7 + 2 + 1).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52202036 (base 7) to base 6.\nAnswer: -234011432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 11.3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 35 + 112 = 0. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3860 - -6785. What is the greatest common factor of r and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9681 at least as big as 9695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3455658 (base 10) to base 8.\nAnswer: 15135252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32368 + 30*q + 32368 + 6*q**2.\nAnswer: 6*q**2 + 30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*g - 1. Let j be g\/18 - 14600\/(-90). Let s = j + -78. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4821\/1883 - 3\/3. Let w = g + 3\/269. What is the common denominator of -89\/8 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -4414184?\nAnswer: 4414177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48369952216 + -0.3?\nAnswer: 48369952215.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 30*x**3 - 3*x**2 - 39*x + 12. Let b(l) = -15*l**3 + 2*l**2 + 19*l - 6. Let f(y) = -9*b(y) - 4*t(y). Factor f(q).\nAnswer: 3*(q - 1)*(q + 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (703\/38)\/((-2)\/(-4)). Let q = -31 + f. What is the units digit of (q\/(-3))\/((-2)\/43)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -9, -34, -69?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 14529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005774 rounded to seven dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 151 = -5*g, -3*l + 3*g = 2*g - 269. Suppose -92*x = -l*x. Solve s - 3*c = -12 - x, -c = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-35 - (-46 + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -96 and 598 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.09 and -17168.\nAnswer: 18713.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - n - 2*n)*(-2 + 2*n + 4 - 1) + 261 + 4*n + 68*n**2 - 264 + 21*n**2 in the form d + u*n + r*n**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1892360*o**3*z**3 - 2*o**3*z + 5*o*z**3 - 3*o*z**2 - 15775642*z wrt z.\nAnswer: 11354160*o**3*z + 30*o*z - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptzttptaapzttiztp. What is prob of sequence tpa?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 437209609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 - -63. Let l = v - -65. Let k(i) = i**2 + 13 - l - 5*i + 8*i. Calculate k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2252\/605 - -402\/121. What is the third biggest value in 41, 3\/8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73069764 a multiple of 2162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 225*w + 9 + 8 + 2.\nAnswer: 225*w + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4990000 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 + -133.\nAnswer: -131.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8823246 divided by -6\nAnswer: 1470541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.76 + 9. Let s = c + -0.14. Let x = -248\/3 - -82. What is the nearest to x in s, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51867, -51859, -51839, -51801, -51739, -51647, -51519, -51349?\n\"Answer: l**3 + l - 51869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139299182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 114653723 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from {c: 3, j: 2, z: 1, q: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -10 - ((3 - (8 - 5)) + -5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 1176*n + 162458. Let m(v) = -2*v**2 - 1167*v - 162456. Let t(j) = 3*a(j) + 4*m(j). What is o in t(o) = 0?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**5\/5 - 9*k**4\/2 - 25*k**3\/3 + 57*k**2 + 1224. Find m, given that p(m) = 0.\nAnswer: -3, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 2 (b) 0 (c) 1 (d) -17 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 857575*b**5 + 27*b**3 + 26051183*b**2 + 2*b.\nAnswer: 51454500*b**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5039 + 5108. What is the remainder when 132 is divided by n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001011000001011111000 (base 2) to base 12\nAnswer: -3771220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 6*o + 4. Let f be w(-5). Suppose m = -3*q + f, 0 = 2*q + 7*m - 3*m + 4. Solve -7 = q*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Let v = q + 13. Let y = 29 - v. What is the highest common divisor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 23. Let p(v) = -v**2 + 2*v. Calculate 2*p(d) + s(d).\nAnswer: d**2 + 4*d - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-196)\/882)\/(0 - (-2)\/(-6)). Let g(z) be the first derivative of 3*z**2 - 2 + y*z**3 + 0*z. Find the second derivative of g(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.28803ml in litres?\nAnswer: 0.04828803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2235, -4440, -6645, -8850, -11055?\n\"Answer: -2205*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -127*a**3\/6 + 67*a**2 + 2*a + 24. Differentiate u(h) wrt h.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 3*v - 9. Let g(y) = -4 - 4*y**2 + 2*y - y - 6*y**2 + 9*y**2. Calculate 10*g(c) - 4*p(c).\nAnswer: -2*c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/((-33)\/(-66))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (327\/(-4))\/((-3)\/8). Let t = -124 + l. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c + 2*c - 4 + 7*c + 5*c. Let u(y) = 3*y - 2. Determine -13*u(z) + 6*v(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -107, -210, -313, -416?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diiid. Give prob of picking 3 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/4*-1*(-12)\/18. Suppose 8 = 3*d + 4*n - 5*n, -14 = -4*d + 3*n. Calculate the greatest common factor of m and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(68) + sqrt(68))*-5 + (sqrt(170) - (sqrt(170) - (sqrt(170) - -3*sqrt(170))*6))\/(sqrt(30)\/(sqrt(18)\/sqrt(6))))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 52?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*b**4\/3 + 61882*b**3\/3 - 41152*b**2 + 62306*b\/3 - 472\/3 = 0. What is b?\nAnswer: 1\/130, 1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**9*k)\/k)\/k)\/k**(1\/4)*k**(-7)*k**(-6) assuming k is positive.\nAnswer: k**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 4, -4*d - 11*l - 19 = -10*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96361313 is divided by 436024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 57*l**2 - 592*l + 19. Determine d(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*c = -205 - 7, -4*d - 4*c = -144. Solve 5*n + 3*f + f = d, 2*n - 3*f = -7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 11. Let v be (-6)\/9 - (-33)\/p. Solve -21 = 5*s - v*b + 5, 2*s = -3*b - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 235*q**6\/3 - 7*q**2\/2 - 15*q - 229. What is the second derivative of b(v) wrt v?\nAnswer: 9400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297 + -190. Let f = v - 113.9. Let i = 7.4 + f. What is the fourth smallest value in 5, -2, i, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 3*l**2 - 3*l - 3. Let s be i(4). Let d(w) be the first derivative of -4*w**2 + 3*w - 64. Determine d(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1512*v**3 + 508006*v**2\/7 + 6095136*v\/7 - 14976\/7.\nAnswer: 2*(v + 24)**2*(5292*v - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*c - 21, -z + 3 = c - 6. Suppose -z = -2*p - 0. Let b(a) = 21*a**2 - 15*a + 7. Is b(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:38 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 731182651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80 - -1ba2a5?\nAnswer: 1ba225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*o = 3*i + 222*o + 130, 0 = i + 5*o + 10 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 35*v = 165. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 + 165 + 105)*(0*v - 3*v**2 + 0*v) + 2*v - 2*v**2 - 2*v.\nAnswer: -1148*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 0.8. Let o = -8217 + 8217.3. Let h = -11 - -1. Which is the closest to 1? (a) h (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 1:43 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/546)\/((-14)\/(-12)*2\/7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7110 - 1?\nAnswer: -7111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 2 a when four letters picked without replacement from {q: 3, h: 6, m: 2, a: 2}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145891 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = -28*q + 6876. Suppose 60 = -227*o + q*o. Solve -5*z = z - o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000282937124 rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 (base 13) in base 16?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + (sqrt(4) - (-3*-1*sqrt(4) - sqrt(4))))\/(sqrt(4)\/(sqrt(4)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 109745*v\/3 - 54872\/3.\nAnswer: -(v - 54872)*(2*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33283 (base 12) to base 2.\nAnswer: -10000100011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1. Let v(l) = 7*l - 6. Let z(k) = 3*a(k) - v(k). Let q(u) = -34*u - 22 - 6 + 50*u + 48*u. Calculate 3*q(d) + 28*z(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + sqrt(891) + -2 + 0 - sqrt(891)) + (0 + sqrt(891))*2 + sqrt(891) - 2*(2 + (sqrt(891) + 0)*-6 + sqrt(891)))**2.\nAnswer: -1512*sqrt(11) + 174672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.791114 meters?\nAnswer: 0.000791114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 6}. What is prob of picking 1 a and 1 p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159670*w**3 + 3791*w**3 + 50287*w**3.\nAnswer: 213748*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.6926128 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101 (base 2) to base 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 608004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-13) - 115808\/27456.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = 0, 2*s - 4*y - 3 = -13. Suppose 2993 = s*i + 13643. What is i rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2763 times -0.4?\nAnswer: 0.51052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 92. Let u(q) be the third derivative of d*q - 1\/24*q**4 + 0 + 1\/2*q**3 - 2*q**2. Differentiate u(b) with respect to b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 v when three letters picked without replacement from {v: 6, m: 2, s: 2, a: 1, j: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23602 from 11252830.\nAnswer: 11229228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 1. Let k(p) = 2*p + 7. Let n be k(-2). Let i(b) be the second derivative of b**3\/6 + b**2\/2 + 24*b. Give n*v(x) + i(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/7)*v*v**(-2))\/((v**0*v)\/(v\/(v**(-1\/8)\/v))))\/((v\/((v\/(v**(2\/7)*v*v))\/v))**13)**34 assuming v is positive.\nAnswer: v**(-11607\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2201 (base 3) to base 10\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8099*n**3 - 9019*n**2 - 154*n. Let a(k) = 4050*k**3 + 4508*k**2 + 84*k. Let b(y) = -11*a(y) - 6*p(y). What is the third derivative of b(f) wrt f?\nAnswer: 24264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1256 = -920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-826)\/177)\/((-4)\/(-6)) + (-3545)\/(-528) and 47\/8.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -30*v - 606. Calculate b(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3047767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*n + 36 = 0, -6*n - 8 = -h - 2*n. Let m = 11 - h. What is the nearest to -1 in 0.2, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 79.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -7. Let t be 2 - 1 - 24\/(-8). Let m = v - t. Solve -m*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(1500)*1)\/(sqrt(12) + 1*sqrt(12)*2) + 2)**2.\nAnswer: 8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.95 + -8.17. Let h = j + 15.1. Which is smaller: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a - 5. Let n(h) = -h - 2. Let v be (-2)\/(-4)*(4 - (-4 - 0)). Let y(m) = -2*m + 11. Let d(p) = v*n(p) + y(p). Determine 5*b(x) + 8*d(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5631763544?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/21*931\/(-266)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 0, -4, -2\/147, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 28271.4262 to the nearest one hundred.\nAnswer: 28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p - 24. Let c be l(8). Let i(j) = j**3 + j + 2. Let x be i(0). Suppose -2*q - x*q = -c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*p + 3132 = 71*p + 8*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 5*n**8\/336 + n**7\/7 + n**6\/2 + 5*n**5\/6 + 5*n**4\/8 + 3*n**2 + n. Let q(u) be the first derivative of g(u). Factor q(x).\nAnswer: 5*x*(x + 1)**3*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.4 - 5.4. Let z = o - 32. Put z, -0.5, -2\/15, -4 in decreasing order.\nAnswer: z, -2\/15, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 8*s - 2*s. Calculate the highest common factor of s and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.2 in -2, -2\/5, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + sqrt(208)))**2.\nAnswer: 600*sqrt(13) + 5425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82225051?\nAnswer: 31, 2652421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 9. Give w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 40. Suppose -3*w = -w - 5*j + 2, 5*w - 5*j + p = 0. What is the units digit of (-10)\/w + (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 14*i**2 + 228*i - 12. What is w(14)?\nAnswer: 3180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let u be z + 3\/6*0. Let -3 + 0*a + a**u - a + 1 = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/1 + -2)\/2. Let g(a) = -a**2 + a + 885. Let p be g(f). Suppose -3*b - 276 = -y - 91, 5*b = -5*y + p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:26 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((3\/(-1))\/(-3)). Suppose -p*y + 40 = -7*y. Let h = y + 20. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2502*p**3 + 2*p. Let k be q(-1). What is k rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {q: 1, c: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 3*t + 3. Let a be (-12)\/3 - (-2 - 0). What is m(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11408158 + -11408159.54999826. Let d = a + 1.55. What is d rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 78, 84, 104, 144, 210?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 3*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w, -k - k = -3*w - 60. What is the greatest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5 + 3 + -4)*33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1432 = 6*m. Let z = 264 + m. What is the greatest common divisor of z and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 9*c**2 - 3\/5*c**4 + 0*c + 0 + 6\/5*c**3 = 0.\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-765)\/(-2) + 10\/(-20). Let t be (-2 + i)*(9 + -8). What is the greatest common factor of 60 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/4 + m**3\/3 + m**2\/2 + 3*m + 1. Let q be i(4). Let u = -50 + q. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 plus -4097?\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6.81, 8, -784?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 638061138.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnw when three letters picked without replacement from {n: 5, w: 1, e: 1, v: 4, k: 3}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74306519*j - 36551164 wrt j?\nAnswer: -74306519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22062897 and -8?\nAnswer: -176503176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjj. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.962, 5, -638?\nAnswer: 1.962","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-54)\/21)\/((-87)\/1421). Suppose -43*c = -r*c - 4. Solve 6 - 1 = -4*w - 5*u, -c*w + 5*u = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.559354 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.51 - 0.51. Is u bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*l*u + 1355*d**3*l + 2*d**2*l*u - 3*d**2*l + d**2 - 139*d*l*u wrt d.\nAnswer: -12*l*u + 8130*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 445116863 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2175 + -21733\/10. Suppose -3*g + 7*g = -8. Find the common denominator of ((-32)\/(-54) + g)*6 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000047947977 to seven decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*z + z + 2, 3*v = -5*z + 38. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26509 by 10.\nAnswer: 26509\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 1046*o**3 + 33429*o**2.\nAnswer: o**2*(o - 1013)*(o - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/7091418 and -61\/45009.\nAnswer: 63822762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3 = -4*j - 15, -3*j + 2*s = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 231?\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93888*i - 93888*i + 1085*i**2.\nAnswer: 1085*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4 + 291*w**3 - 9198*w**2 + 87936*w + 215040 = 0.\nAnswer: -2, 32, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d. Let v(l) = l**2 + l. Let f(o) = -8*o**2 - 5*o**2 + 4*o**2 - 13*o - 2*o. Let s(w) = f(w) + 15*v(w). Calculate k(s(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 236.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffhqfhfqqffqf. What is prob of sequence qfqq?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0894 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + 1 - ((-6 - 8) + 6))\/(-5). Put 4, d, -6, 5 in decreasing order.\nAnswer: 5, 4, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*y - h, 2*h + 16 = -23*y + 20*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 28889245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**2 + 0 + 1\/6*b**3 + 0*b**4 + 0*b + 1\/15*b**5. What is the units digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109\/1090*(-8)\/(-10)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1254 + 1260. Which is the second smallest value? (a) -1 (b) 11 (c) 5\/6 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -77. Let x = w + -10. Suppose -x*c = -22*c + 50. Solve 0 + c = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 23*k + 14. Let c be f(-12). Let p be ((-6)\/(-9))\/((-2)\/(-3)). Solve 0 = 3*o - 4*s - s + p, o - c*s = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3 and (2\/(-4))\/((-5)\/(-215))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6*j)\/(j*j**(-3)*j*j))\/(j**2)**29 assuming j is positive.\nAnswer: j**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46586 rounded to 2 decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2\/11, 21, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4*o*u - 6751*b**3*o*u + 12*b**3*u + 2*b**2*o*u + b**2*o - 9916*b**2*u + 17*b*o + b*u wrt b.\nAnswer: 48*b*o*u - 40506*o*u + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2088*l - 64 = 2096*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -337*((-168)\/(-35))\/24 - (-75)\/(-125)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2) + 198\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let k(c) = -3*c + 1. Let i(a) = -k(a) + 2*s(a). Let l be i(5). Find the first derivative of -2*o**2 + 7 - l - 4 wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 53\/10 (b) -42 (c) -0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*t + 18*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 701?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 246*c*u - 384*u wrt c?\nAnswer: 246*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 24*p**2 - 210*p - 1193. Give a(-6).\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 5. Let g be f(-8). Suppose 3*h + 2*h - 110 = g*p, 2*p = 4*h - 88. Suppose h = 3*i - 2*i. Calculate the remainder when 43 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*q**3 + 2*q**2 + 158*q**3 - 671*q**3.\nAnswer: -437*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqd when three letters picked without replacement from {q: 5, d: 1, m: 4, j: 4, k: 4, e: 1}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3\/7, -1, 5\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/153, -3, 0.2 in descending order.\nAnswer: 0.2, 2\/153, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 8*a + 9. What are the prime factors of z(6)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23456 (base 7) in base 3?\nAnswer: 22022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -6. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 - -0.2?\nAnswer: 696.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -244 (b) -5 (c) 43 (d) 3 (e) -785\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41007820 is divided by 355?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -30*p + 17. Let b(k) = 88*k - 48. Determine 5*b(f) + 14*w(f).\nAnswer: 20*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 48*z**2 + 10*z - 7. Let p(b) = 32*b**2 + 7*b - 5. Determine -5*a(h) + 7*p(h).\nAnswer: -16*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40572)\/4416 - (-1)\/(5 + -21)?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3213121 to the nearest 1000.\nAnswer: -3213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4760 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89487 and 360?\nAnswer: 3579480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p + 3. Let c(w) = 6*w + 4. Suppose -3*u + 1 = 16. Let f = 18 - 14. What is f*c(d) + u*j(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*y + 33*y + 35*y - 23*y**3.\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 10*u**2 - 20*u + 33. Let d be i(8). Let v = -25 - -40. Put -0.3, d, v, -3\/7 in ascending order.\nAnswer: -3\/7, -0.3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(196)*-2)\/(2*sqrt(175) + sqrt(175)))\/(2*(sqrt(64) + (sqrt(64) - (sqrt(64) + (-3*-2*sqrt(64) - sqrt(64)))))).\nAnswer: -sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -357, 5, -1.\nAnswer: -357, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 267, 457, 671, 915, 1195, 1517, 1887?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39661339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 125\/15617 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1) - (-1)\/4. Let i = -431944 + 431943.7. Which is the third smallest value? (a) 7 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-4)\/125)*4. Let c = -423 - f. Let k = -462 - c. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 302\/14 - (-9775)\/(-425)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 27*t - 30*t + 8, 10 = 4*t + 2*f. Suppose -v = 2*b - 4, -2*v = -b - t*b + 13. Let i(j) = -j - 5. Let s(g) = g + 9. What is b*s(c) + 5*i(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3253 = -13*p - 3214. Solve -5*f + 6 = -2*f + p*n, 5*n = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/j**(-1\/5)*j)\/j)**(-1\/8)*j\/(j\/(j*j\/j**(-1\/3)*j))*j*j**(-1)\/j*j*j assuming j is positive.\nAnswer: j**(487\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17018 or 17016?\nAnswer: 17018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2374.18 and 922660.22.\nAnswer: 925034.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -4 + 1\/(-2). Which is the closest to 0? (a) 0 (b) 0.3 (c) o (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1519694 + 1519339.0745. Let v = q - -355. What is v rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -66?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26967, -26969, -26971, -26973?\n\"Answer: -2*z - 26965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4291.\nAnswer: 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 1, y: 1, w: 4, t: 1, e: 5}. What is prob of picking 1 y, 1 c, and 1 w?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3537702?\nAnswer: 2, 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -223. Suppose r - 59 = -c, -3*c = -4*r - 102 - 117. Calculate the highest common divisor of c and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = y + 70 - 56, -4 = 4*x - y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2054*i - 1145*i - 2 - 1154*i)*(-i + 4 - 4).\nAnswer: 245*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3181 + 17246. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let f be 10\/4*-2 - 0. Let u(d) = -3*d. Let k(t) = t. Let q(s) = -2*s. Let c(j) = 7*k(j) + 6*q(j). Let m(n) = f*c(n) + 8*u(n). What is h(m(a))?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*1665\nAnswer: 199.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45716 - 31703?\nAnswer: -77621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02877461 rounded to four decimal places?\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -102*v + 95*v. Suppose -72197 = -5*w - v*t, -5*w - t = -26757 - 45444. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -4*u**3\/3 - 33. Let r(w) = 3*w. Give r(x(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 10 = 30. Let p(i) = -i**3 + 5*i**2 - 4*i + 4. Let n be p(y). Let k be (-17)\/n - (-6)\/24. Is -2 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2340 (base 5) to base 6\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*n + 18 = 0, -3*o - 2 + 1 = n. Differentiate -3*a**3 - o - 1 + 5 with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12974\/19261 - -49\/103. Find the common denominator of r and -19\/153.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/40 - 19*h**3\/6 - 13*h. Let a(b) be the second derivative of w(b). Let f(s) = -4*s. Calculate a(f(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (10 - (-3 - (-12 + 5 - -5))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074989517 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 420715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 38921339.\nAnswer: -38921349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -528619677*b**3*u**3 + 2883*b**2*u**2 - 101633*u**3 wrt b?\nAnswer: -3171718062*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1366 - -1398. Solve -20*n + 28 = -k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 376 and 376.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4153, 4183, 4213, 4243?\n\"Answer: 30*d + 4123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 5\/417 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*((72\/(-160))\/3)\/5.\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/35*(4 - 5). What is the second smallest value in 0.16, 3\/5, g, 10?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*p + 4. Suppose 6*w - 2*w = 20, 11 = 4*u - w. What is the third derivative of -4*f**p + u*f**3 + 6*f**2 - f**3 - 3*f**2 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + ((-36)\/48 - 5\/(-12)). Let f = 1431\/7 + -204. Let t(x) = -x**3 + 5*x**2 + 6*x + 1. Let h be t(6). Which is the closest to -1? (a) j (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k**2 - 1. Let v = -4 + 6. What is the lowest common multiple of v*9\/(-12)*-2 and x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-170)*25*2 + (-12 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 24*a - 12. Let m be l(4). Let c be (1 + -2)*5*m\/15. Is (-7 + 9)*(-1 + (0 - c)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2610)\/(-725)*(-5)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*-8 + 8732\/59 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2246, 9051, 20394, 36275?\n\"Answer: 2269*s**2 - 2*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 6) to base 5\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101b1 (base 12) in base 11?\nAnswer: -14873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 (base 13) in base 12?\nAnswer: -2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*j + 97*j + 108*j - 667*j + 109*j + 96*j + 106*j.\nAnswer: -44*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9426 + 9440. Solve -35 = -49*c + p*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 14 = -5*m, 5*m - m = t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w. Let n(a) = a**3 - 4*a**2 + 5*a - 3. Let p be n(4). Let f(h) = -21*h + p*h + 12*h. Determine t(f(v)).\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 4. Let q = 21 + -18. Determine g(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 39*p + 143. Let b be c(-4). Sort b, -9, 3\/8 in ascending order.\nAnswer: -9, 3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3233284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*q - 25, -4*d + 75 = -3*q - 2*q. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*m**2*y**2 + 5*f*m**2*y - 5*f - 8*m**2*y**2 + m*y - 2*y**2 - 22*y wrt m?\nAnswer: 2*f*y**2 + 10*f*y - 16*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**2 + 41*i**2 - 7*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 568096 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n + 45. Let x be (24\/n)\/((-6)\/(-9)). Let z(o) = o**3 - 3*o**2 - 5*o + 2. Give z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 3656286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 257957648513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 46*w**2\/7 - 40*w\/7 + 8\/7.\nAnswer: -2*(w - 2)*(w - 1)*(7*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101100110111 + -101?\nAnswer: 1000101100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*w - 8 = 0, 0 = 5*k + 2*w - 7*w + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**2 + 6*p - 6. Let s(l) = 38*l**2 - 17*l + 17. Let d(x) = 6*s(x) + 17*z(x). Let a(b) = -8*b**2. Determine a(d(c)).\nAnswer: -392*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 5, w: 1, c: 1, h: 6, o: 2}. What is prob of picking 1 o and 1 h?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142*(-3)\/36 + 41 + 7040\/(-165)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t. Let k(q) be the first derivative of -5*q**3\/3 - 5*q**2 - 71. Give k(v(i)).\nAnswer: -20*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 8)*20\/(-70). Suppose 0 = v*s + 4*t - 32, 3*t + 58 = 4*s + 8*t. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3520) + -3*sqrt(3520)))\/(1*sqrt(1331)*-5 + sqrt(1331)).\nAnswer: -4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 500*c**2 + 89*c + 1233. What is the tens digit of n(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 2*u**2 + 2*u + (0 - 2 + 4)*(2*u**2 + 1 - 1) + 0 + 0 + u**2 + (-4*u + 3*u + 3*u)*(170*u - 263*u + 480*u).\nAnswer: 777*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9092560?\nAnswer: 2, 5, 113657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 28 = 4*a. Let g be ((-36)\/(-42))\/(1\/a). What is the smallest common multiple of (-3 - 15\/(-6))*g and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + g + 4. Let r be z(0). Calculate the common denominator of -2 - 0 - (-61)\/r and (-4)\/(-6)*18\/72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 40. What is the tens digit of u(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 41. Let z be c(0). Let f = z + 491. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -834.93 * -4.\nAnswer: 3339.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*b**2 + 53*b**2 + 2*b + 3*b**4 - 21*b**2 as z*b + t*b**3 + m + u*b**4 + c*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 15779?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7))**8\/(g**(-3\/5)\/(g*g**(-3)*g))*((g*g**(4\/9))\/g**2)\/(g**(-2\/7))**26 assuming g is positive.\nAnswer: g**(2759\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 105 * -7013\nAnswer: -736365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t**2 - 5*t. Suppose -2*b - 3 - 11 = 0. Let d(f) = f**3 - 3*f**2 + 9*f. Calculate b*x(a) - 4*d(a).\nAnswer: 3*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-648)*6)\/(1 - 2). Let l = -22 + 32. What is the closest to -0.2 in l, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-459)\/(-3))\/3 + (7 - 8). Let o = v + -50. Solve -3*g - 1 + 7 = o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = -5*w, -14*c + 10*c + 4 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 205105\nAnswer: -3\/205105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, 4, -5, -3, -6, 3.\nAnswer: -227, -6, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/99 and -43\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 6*n - 1. Let q be u(5). Suppose q = 5*x - 16. Let p = x + -1. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 565 and 130289?\nAnswer: 651445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1112 in 0.2, -9\/5, 2\/13?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -31*t**2 - 188*t. Give v(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 1 o when three letters picked without replacement from {o: 1, n: 2, r: 2, q: 1, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/17 >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**3 - 1. Let u(q) = q**3 + 9*q**2 - 5*q - 8. Let p be u(-9). Suppose -p*d = -48*d - 11. What is y(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -3. Suppose 4*h - n*h = -1. Let o(s) = 3*s - 5*s - 4*s + 0*s. What is o(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 y when three letters picked without replacement from yqqyyyyqyyyyqyqyyyyy?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:02 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 1:45 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2\/13, 4, 0, 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59\/126 + -5\/14. What is the nearest to 3 in -0.2, 3\/8, o?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 935\/170*104\/22. Calculate the highest common factor of 3 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1427*l**2 - 579*l**2 + 4479*l**2 + 4211*l**2.\nAnswer: 6684*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11925 and 312525?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -1 + 0 - -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1057 (b) 11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + 2 + sqrt(19) + 5))**2 + -1 - -1*((sqrt(171)*-2 - sqrt(19)) + (sqrt(19) - 3*-1*sqrt(19))**2).\nAnswer: 281*sqrt(19) + 1563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 48*d - 553. Give j(-33).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 2, o: 2, j: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(1 - (-70838)\/(-70840)). Suppose y = 3*y - s. Suppose -2*u - t + 23616 = 3*t, 5*t - y = -3*u. Round u to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 21622286.\nAnswer: 64866858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-3))\/((-16)\/408)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20973, -20966, -20981, -21030, -21125, -21278, -21501?\nAnswer: -21806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/161 in 1, 2, 1\/9, -1, 276?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 999 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -155, -157, -159, -161, -163, -165?\n\"Answer: -2*t - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 21*h - 7. Let c(f) = f**2 - 5*f + 2. Let j(q) = 9*c(q) + 2*r(q). Let l(s) = 2*s - 4. Let y be l(5). Does 11 divide j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-358662)\/(-108) - (105\/(-18))\/(-7)?\nAnswer: 2, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -868, -3408, -7642, -13570, -21192, -30508, -41518?\nAnswer: -54222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 5*d**2 + 2. Let j be c(-6). Let z be 730296\/2024 + ((-10)\/(-11))\/5. What is the greatest common factor of j and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 270\/23?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -36940?\nAnswer: -3694a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 667780879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 800375 and 313747.\nAnswer: 6403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121220462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29610804 divided by 7402701?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 0*c**3 - 3*c**3)*(-59 + 59 - 51*c**2).\nAnswer: 306*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/308 - -1147\/308. Find the common denominator of ((-6)\/15)\/((-2)\/41) and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 68\/7*r + 416\/7 + 2\/7*r**2 = 0.\nAnswer: -26, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 11:37 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991342.\nAnswer: 2, 1553, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddnd when four letters picked without replacement from {k: 4, y: 7, n: 1, d: 8}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 187 + 17. Let o = 53 - x. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 21. Let q be k(30). What is the nearest to q in 2, -0.11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 40*z + 43 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -5 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, -20, -140, -260, -380, -500?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 6*y - 7 - 4*y)*(-1 - 1 + 1) + 500*y - 250*y - 258*y to the form p*y + w and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*g**4\/7 - 811*g**3\/7 - 519*g**2\/7 + 17*g + 146\/7 = 0. Calculate g.\nAnswer: -1, 146\/319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2544 and 123\/1060?\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -164 - -336. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 2, q: 1, l: 2, e: 1, i: 4}. What is prob of sequence qzl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*w - 163 + 166, -4*n - 3*w = -29 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(700)) - (sqrt(700) + (sqrt(700) - 5*((sqrt(700) + (sqrt(700) - (1 + sqrt(700))))**2 - sqrt(700))) - sqrt(700)).\nAnswer: -180*sqrt(7) + 3503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 7}. Give prob of picking 3 j.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u - u - 2*u + 8*u. Let w(j) = -2*j**2. Let n(h) = -3*h**2. Let f(d) = 3*n(d) - 4*w(d). Calculate f(t(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 189*d*p**3 - 15322373*d + 9517*p**4 wrt p?\nAnswer: 567*d*p**2 + 38068*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 203 = 3*n - 0*u, -2*u + 295 = 5*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 2:04 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*d = -3, -13*c + 15*c = d - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 5}. What is prob of picking 1 u and 1 x?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -3\/2*i**2 + 0 + 1\/3*i**3 - 6*i. Let t(c) = -2*c + 2. Calculate 3*o(w) + 4*t(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 9997415*f - 19994829\/2.\nAnswer: -(f - 19994829)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -g - 135 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i*i**(-2\/7)*i)*i))\/(i*(i*i*i**(-1\/7))\/i))\/(i**(2\/11)\/i**(2\/11))*(i**0)**(3\/41)\/(i**(-1\/3)*i\/(i**5*i)*i) assuming i is positive.\nAnswer: i**(46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0486 - -2.9514. Which is the smallest value? (a) 0.2 (b) 5\/6 (c) m (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*x = 9, x - 13 = -3*s - 3*x. What is the second derivative of -y**3 - 3*y**3 + 3*y**3 + s*y - y**3 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5551 and 10877867?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*r = 93*r - 72 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -343*o**3\/3 - 341*o**2\/2 - 100. Find the second derivative of f(l) wrt l.\nAnswer: -686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57160821, -114321624, -171482427, -228643230?\n\"Answer: -57160803*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -165*d**6 + 3*d**3 + 19*d**2 - 897. What is the third derivative of w(o) wrt o?\nAnswer: -59400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26382*r + 8801*r + 8788*r + 8793*r + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 8*b + 28. Suppose b = 4*v - 9. Let y(z) = -z + 9. What is the lowest common multiple of v and y(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -458*q + 5534. What is p(12)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-3)*(-4 - (-5 + 0)) + (-25878)\/2043.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5106 divided by 5859?\nAnswer: -1702\/1953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7055431581.\nAnswer: 3, 11, 213800957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -142 in -9, 2\/5, 3\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -279436, -558872, -838306, -1117738, -1397168?\n\"Answer: c**2 - 279439*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**3 + 4*p**2 - 10*p + 9. What is the hundreds digit of i(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 9*z**2 - 8*z + 7. Let g be 56\/6*15\/5. Suppose 15 + 6 = 2*m - y, -4*y = -m + g. What are the prime factors of u(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + o + 26*o**3 - 5*o - 43*o + 43*o**3.\nAnswer: 69*o**3 - 49*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515725 is divided by 1486.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -14 - (-30 - (-45 + 18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - x - 42, 77 = 2*c + 2*x + 3*x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19962 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8, 0 = 7*u - 4*u - 3*m - 5184. List the prime factors of u.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 2948?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/a**(24\/5)))\/(a**(-15)\/a*a))\/(a**(3\/5)\/(a*a**(-13))) assuming a is positive.\nAnswer: a**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 5, n: 3, z: 7, g: 3}. What is prob of sequence zgnz?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11 + 46*c**2 + 6*c**3 - 62*c - 7*c**3 + 12 + 7*c**3 - 4*c**3. List the prime factors of p(-24).\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.024 less than -0.9036488?\nAnswer: 43.1203512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvv when three letters picked without replacement from {v: 3, k: 4, c: 6, p: 3, w: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -3*sqrt(5) - sqrt(5) - sqrt(5))**2 + 3 + (sqrt(60)\/sqrt(4))\/sqrt(3) + 2.\nAnswer: 301*sqrt(5) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f - 4 = 0. Let x = 7 - f. Is 5 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s = 443 + 67 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q - 22*q**4 - 2*q**3 - 15*q - q**2 + 58*q**4 - 14*q**4 + 2 - 17*q**4 to t + f*q**4 + s*q**3 + b*q + l*q**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003088072249 to 7 decimal places.\nAnswer: -0.0000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 20*v - 26. Let x be t(-22). Suppose -2812 = -x*s + 5792. What is the remainder when s is divided by 121?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 7*i - 6*i - 183, 5*r - 228 = -i. Let g(l) = -135*l**3 + l**2 + l - 2. What is the remainder when g(-1) is divided by r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182047115.\nAnswer: 5, 19, 1373, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 557189\/35 - 15921. Calculate the common denominator of -4 + 40\/25 + 0 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4461086533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -16.79. Let j = g + -1.41. Let o = 4.8 - j. Which is the smallest value? (a) -1 (b) -1\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:42 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = 163. Suppose 0 = -5*l - 63 + r. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -5*y**9\/504 - y**5\/60 + y**2. Find the third derivative of c(f) wrt f.\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*g - 44, 2*g = 6*y - 15*y + 112. Solve -6 = 2*k, -2*k = -4*q + y - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 4*n + 3. Suppose -9*o + 5*o - w + 10 = 0, 2*w + 4 = 4*o. Suppose 5*d + 3*h - 40 = 0, 0 = 3*d - 0*h - o*h - 5. Calculate k(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 4\/13, -3\/109, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/15*-6 + 3. Let h(c) = c**2 + c - 5. Let z be h(p). Calculate the greatest common divisor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + -89. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s + 2*s - 2 + 3*s. Let t(l) = l**3 + 5*l**2 - 2. What is the lowest common multiple of q(1) and t(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by 131?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318987544.\nAnswer: 2, 3, 17, 19, 299147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01 and -5706821.\nAnswer: -5706821.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 18*f**2 + 145. Let t(r) = 27*r**2 + 203. Let x(l) = 7*j(l) - 5*t(l). Let i(c) = -c + 5*c + 5*c + c. Calculate x(i(d)).\nAnswer: -900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413320200 (base 5) in base 14?\nAnswer: -6b0912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 9, 3, -2\/17, 2\/15, -4.5, 0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94538403137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.4 (c) -2\/7 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54\/63)\/(6\/21). Let a be (-3)\/(27\/(-3))*249. Suppose 0*u - 5*j - 54 = -3*u, 4*u - a = y*j. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 11490 + 11630 = 0. Solve -18*x + o*x = -34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6. What is the closest to -1 in -1\/7, z, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**4 - 46*n**3 + 20*n**2 - 125558?\nAnswer: 4*n**3 - 138*n**2 + 40*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z**3 + 16*z**2 + 16*z - 130. Let d(h) = -3*h**3 + 5*h**2 + 5*h - 43. Determine -16*d(t) + 5*y(t).\nAnswer: -2*t**3 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1633, 3157, 4679, 6199, 7717, 9233?\n\"Answer: -z**2 + 1527*z + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*z - 29 - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 4*u**2 + 0*u**2 + (-2*u - 3*u + 4*u)*(3*u + 3*u - 4*u) - u**2 - 3*u**2 + 2*u**2 + 2*u - 2*u - u**2 to p*u + f*u**2 + j and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.69 + -0.31. Let x = -1\/745 - 2233\/1490. Which is the closest to -1? (a) x (b) -2\/21 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 14*f + 22 - 1\/2*f**2. Let c(p) = -2*p. What is x(c(v))?\nAnswer: 2*v + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 - 2. Determine r(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -4*i**2 + 0 + 7\/6*i**3 + 0*i + 1\/24*i**4. What is c(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8944101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 + -271. Let j = 813 - 2810. Let x = l + j. Round x to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 16. Let o = 165 + -177. Let b be q(o). Solve -2*h = -b*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53 + -2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.228 at most as big as -12477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/(-12)*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150 + -2?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 0*m**2 - 2*m**4 - 4*m**2 + 0*m**3 + 2*m**3 - 10 to the form h + w*m**2 + q*m + i*m**4 + x*m**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5935741 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23\/2986 (b) -34 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 5:54 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t - i + 25, -t + 2*i = -10. Let p = -24108 + 24204. What is the remainder when p is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/13, -0.2, -22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 + -1)\/((-102)\/(-680)). Suppose 4*k - 28 = 7*o - 3*o, -4*o = 8. Calculate the greatest common divisor of k and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 2*w)*(2*w**3 + 2*w**3 - w**3)*((2*w - 2 + 2)*(-3 + 0 + 5) + 23381 - 23381 + 259*w).\nAnswer: -789*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71592 and 15276?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2110022221110 (base 3) to base 16\nAnswer: -13ebfd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-5) + 1)*335. Let o = p + -122. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(125) + sqrt(125) + sqrt(125) - (sqrt(225)\/sqrt(9))\/sqrt(5) - ((-2 + sqrt(405))*4 - sqrt(405) - ((sqrt(405) + -1 - sqrt(405)) + 3)))*-4)**2.\nAnswer: -6240*sqrt(5) + 17120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*r + 13*r + 11*r + (-r - r + 3*r)*(1 + 1 - 4) - 2*r + 2*r + r)*(-4 + 3 + 6) to the form j + o*r and give o.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 1869.\nAnswer: 128961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58640509*o**3*p + 29844301*o**3 wrt p?\nAnswer: 58640509*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = -176*s - 135 + 106. Sort s, 1, -783 in increasing order.\nAnswer: -783, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**0\/c))\/(c\/(c\/(c*c*c**15)*c)))**28 assuming c is positive.\nAnswer: c**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 13*p**2\/2 - 9*p - 5. Let i(y) = 3*y - 2. Let c(f) = 2*h(f) - 9*i(f). Let u(k) = 10*k. What is u(c(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 16. What is u(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 3 in decreasing order.\nAnswer: 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -10*q**2 - 2*q - 19. Let b be j(-13). Suppose 4*t - 110 = b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4050028 and -79\/26?\nAnswer: 52650364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -6408 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -360*q**4 - 635*q**2.\nAnswer: -8640*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19586 - 69005 = -2907*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from {h: 5, w: 14}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 347476992 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20+-7466\nAnswer: -7446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4\/7 + 34*i**3\/7 + 170*i**2\/7 + 318*i\/7 + 180\/7 = 0.\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i. Let v(s) = -5*s - 829 + 829. Give v(c(d)).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 499.\nAnswer: 5489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111463 is divided by 640?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**5 + 730*p**4 - 21830*p**3 - 357920*p**2 - 647405*p - 312050 = 0. Calculate p.\nAnswer: -10, -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 94*q + 1746. What is h(-18)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/25)*b*b\/(b**(-12)*b))\/(b*b**(3\/8)*b)**(4\/37) assuming b is positive.\nAnswer: b**(25277\/1850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-3) + 176\/264 + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 10\/1063.\nAnswer: -0.5, 10\/1063, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 234 = -3*g, 2*p = -320*g + 316*g - 302 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -90 - -294?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2331 and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6 + 36\/(6 - (-6 - -8)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 95*s**3 + 444*s**2 + 531*s - 162.\nAnswer: (s + 3)**2*(s + 18)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 23*t**2 - 5*t + 43. Is s(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-3)*p))**7 assuming p is positive.\nAnswer: p**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, 4.68, 3, 1\/6, 0.3 in decreasing order.\nAnswer: 4.68, 3, 1, 0.5, 0.3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -79, 6, -27, 5, -4 in increasing order.\nAnswer: -79, -27, -5, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1963458.\nAnswer: -5890374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/7, 6, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-55))\/(2\/6*168\/(-140))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -252. Let b = 162 - u. Let j = 86.86 + b. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 2*o)*(-2*o**2 - 2*o**2 + 0*o**2) - 626*o**3 + 87*o**3 - 376*o**3.\nAnswer: -923*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*f - 44, 2 = -4*f - 2. Let u be (18\/(-5))\/(6\/g). Solve 4*l = -8 - u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -n + 2*n + 5*w, 0 = -3*n - 4*w + 49. Solve 0 = k - 12*k - n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/5 - (0 + -1). Suppose -l + 2 = -4*s, u*s = -4*l + 7*l - 6. Factor 2\/3*h**3 + 2\/3*h**2 + s + 0*h.\nAnswer: 2*h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m, -104 - 121 = -5*r + 5*m. Let j(z) = 4*z + 2*z**2 + 21*z**2 + 1 - 5*z**2 - 3*z. Let b be j(-1). Calculate the greatest common factor of b and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + -109 - (16 + -8 + 3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -75819, -2, 4, -47 in ascending order.\nAnswer: -75819, -47, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.22 + 33. Let q = s - -0.02. Let v = q - -0.2. Which is the third biggest value? (a) -2\/13 (b) v (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/4 - 82435*p + 1359105845.\nAnswer: 5*(p - 32974)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6737936.\nAnswer: 2, 421121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 848\/(-144) - (-1)\/(-9). Let v be (-289)\/51 + (-4)\/i + 3. Sort 4, -1, 1, v.\nAnswer: v, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, i: 1}. Give prob of sequence ik.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) -2 (c) -12 (d) 1\/6 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 6*s - 3. Suppose -b + 83 = 4*y, -5*y - 3*b + 6*b = -91. What is the smallest common multiple of n(5) and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(3 + -4)*(2 + 0). Suppose 0 = -a*p - 2*p + 3270. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 695497236 to the nearest integer?\nAnswer: 26372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4200581 by -221.\nAnswer: -247093\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671876 + -1699?\nAnswer: 1670177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20640, -1, 3\/7 in descending order.\nAnswer: 20640, 3, 3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*(-3)\/(-30))\/(-1). Suppose 3*b - 3 + 0 = 0. Let z be 3\/(-9)*(-7 + b). What is the second smallest value in j, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-1014)\/(-78))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (19 - 8) + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -27. Let c(p) = 6*p**2 - 2*p + 6. What are the prime factors of c(n)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0586 plus -119?\nAnswer: -119.0586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*x + 21 = 224*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.65016292107 - 5162.82983850893. Let y = c - -5163.739. Let v = -0.259 + y. What is v rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19 + 16)\/3 - 23*3. What is the third biggest value in -4, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (1 - 1)) + -3. Let h = 4 + -1. Let j = h - c. What is the highest common divisor of 35 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 194262084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24250441 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/4*-4 - -4)*1. Sort n, 4, 18 in decreasing order.\nAnswer: 18, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118390 = -3*j - 27989 + 10141. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1090000*v - 25. Let o(w) = 1. Let q(l) = 25*o(l) + y(l). Let j be q(1). Round j to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 0*h + 20 = a + 8*h, -19*a = -3*h + 40 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f*f\/(f**4*f))**(-28)\/((f*f**(-1\/2))**47)**(-28) assuming f is positive.\nAnswer: f**798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 76 (b) -3 (c) 604\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 6*m + 6. Let k = -4 - -2. Let j = k - -8. What is the units digit of o(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2141, -2046, -1879, -1634, -1305, -886, -371?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1250 - 55?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - 6*p. Let i(s) be the third derivative of s**5\/60 + s**4\/24 - 4*s**2. Let m(r) = -c(r) - 6*i(r). Let a(b) = 11*b. Determine m(a(z)).\nAnswer: -363*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 20, 23, 28, 35, 44, 55?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75974?\nAnswer: 2, 37987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-22) + 81\/(-297)*20\/(-30).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 720225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -33.54. Let r = 0.17 + v. Let w = r - -0.49. Is w smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -426 + 1282\/3. Solve -2\/3*q**4 + 2\/3*q**2 + 0 + r*q - 4\/3*q**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*c**3 + 30*c**3 + 9*c**3 + 21*c**3 + 9*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 18023319.\nAnswer: -36046638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -423 + 480 - (31 - 0)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 26*b**2 - 129*b + 272. What is the remainder when 3172 is divided by c(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 - 1441090*y**2 - 14410894*y\/5 - 7205446\/5.\nAnswer: -2*(y + 1)**2*(y + 3602723)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2249, 4243, 6237?\nAnswer: 8231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 122*v + 123*v + 6 = 0, 4*v = -2*f + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.42 or -0.022099?\nAnswer: -5.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16916721, -16916720, -16916719, -16916718, -16916717, -16916716?\nAnswer: -16916715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*y = 3, t = 4*t + y - 1. Let o = t - -3. Let d(g) = -g**2 + 2*g + 4. Give d(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 16*q + 63*q + 109*q as v*q + i*q**2 + h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 - ((-1 - 6 - -3) + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1*-1)\/((sqrt(144) + (sqrt(144)*-3 + sqrt(144) + sqrt(144) - sqrt(144)))\/sqrt(12)) + 3)**2.\nAnswer: 6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -5*d**3\/3 - 15*d**2 + 335. Find j, given that q(j) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*l + 7. Let w = l - 8. Suppose w*o + 30 = 5*o. What is the remainder when 22 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121002001 + 200111?\nAnswer: 121202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38884.\nAnswer: 2, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + g + 4. Let l be j(3). Suppose 4*z - 80 = 3*o, 2*z = -3*o + 42 + l. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*n = -21, n - 5*n = 8. Suppose -168 = -v*h + 47. Let t = 68 - h. Calculate the greatest common divisor of 275 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 2*r - 1. Let m be p(2). Let x be m\/3 - 10\/(-12). Let a(y) = y**2 - 4*y + 4. Let v be a(2). Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 35, 42, 41, 26, -9?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 44. Is (y - 116\/16)*32\/(-1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7609919?\nAnswer: 29, 262411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:01 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6777.401 + -6734.7. Let r = -0.099 - h. Let i = r - -43. Sort 1\/11, i, 7, 2.\nAnswer: 1\/11, i, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2841 and 9.\nAnswer: 8523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 2, y: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 7. Let y be l(6). Let r be y + (-7)\/(3\/3). Is 13 a factor of (-16)\/6*78\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d - 36. What is the highest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -5, -1, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009629 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7871.973ns?\nAnswer: 7.871973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2686274 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20556 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049417016 rounded to four dps?\nAnswer: -0.0494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + 2*h)*(2 + 3 - 7) - 4*h + h + h + 4*h - 5 + 5.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.43666l to millilitres.\nAnswer: 29436.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 333*g**5\/5 + 163*g**2 - 634. Find the second derivative of d(n) wrt n.\nAnswer: 3996*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-28))\/(60\/(-48)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-333)\/(-45) + -7 + (-3)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27661, 220534, 744043, 1763506, 3444241?\nAnswer: 5951566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29386 - -29362. Which is bigger: 15.8 or g?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.2 (b) 3\/4 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, e: 4, b: 1, p: 3, q: 1, u: 1}. Give prob of picking 1 b and 2 p.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -9 (c) 4\/3 (d) 0.4 (e) -0.05 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 4.6. Let m = 9.2 - 13.2. Let f = u + m. What is the third smallest value in f, -2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6403389 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-1*(-5)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v - 155 = 5*y, -2*v = 3*y - 77. What is the third derivative of 8*m**3 + 53*m**3 - v*m**2 - 172*m**3 wrt m?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, v: 17}. What is prob of picking 1 v and 1 f?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/(-2) + -3 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82345013 to the nearest integer?\nAnswer: 9074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -544, -1054, -1564, -2074?\n\"Answer: -510*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*w - 2*y, 2*w - 17 = 3*y + 14. Let v(c) = -3*c + 1. Let z(a) = -5*a + 1. Suppose 158 = -54*o - 112. Calculate o*z(b) + w*v(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - k**2 + k)*(-10*k**2 + 4 + 1 - 9) as i*k**3 + m*k**4 + n + d*k**2 + f*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3629*a**3*z + 28785*a**3 wrt z.\nAnswer: 3629*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 551\/2236 + 2\/559. Let f(r) be the first derivative of 1\/12*r**3 + 0*r + c*r**2 - 1\/16*r**4 - 2. Factor f(q).\nAnswer: -q*(q - 2)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)\/t)**21\/((((t*t\/t**(6\/11)*t)\/t)\/t)\/t**(-8)) assuming t is positive.\nAnswer: t**(-2082\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {q: 15, e: 3}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -11*h + 4*h - h. Calculate the greatest common factor of 472 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u*u*u*u\/u**(2\/19))\/(u*u*u\/(u*u\/(u*u\/(u*u**(-2)))))**42 assuming u is positive.\nAnswer: u**(-3137\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219989226.\nAnswer: 2, 3, 36664871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -4, 5, -1, 58 in descending order.\nAnswer: 58, 5, -1, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 2799*r**3 - 11207*r**2 + 14013*r - 5606.\nAnswer: (r - 2)*(r - 1)**2*(r + 2803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 621 - 618. Let d(t) be the first derivative of 2 + 0*t + 0*t**2 + 1\/3*t**k + 3\/2*t**4. What is the third derivative of d(b) wrt b?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:15 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1018? (a) 5\/2 (b) 0 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 11) to base 4\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3181\nAnswer: 5\/3181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 - -1139. Suppose 4*x - s = -5*x. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16610\/6644*(56\/5)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10277 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: In base 6, what is 2314215 - 10?\nAnswer: 2314205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/5 - 3398*d**2\/5 - 284886*d + 3216510 = 0.\nAnswer: -855, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - f = -3*k - 47, -4*k - 46 = -2*f. Let c be -3 - 87\/k - 4. What is the closest to c in -0.5, 5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e3a - -6dd?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.7068 * -0.0346\nAnswer: -0.02445528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*n - 93*n = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c974 (base 13) to base 9.\nAnswer: 280241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 2*w**2)*(2*w**3 - 2*w**3 - 2*w**3) + 144*w - 144*w - 34*w**5.\nAnswer: -32*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 37, 5 in ascending order.\nAnswer: 5, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1258307*j**3 + 2371095?\nAnswer: 3774921*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-60)*90*1. Let y = -58 + 63. Which is the smallest value? (a) t (b) 4 (c) y (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -12*c**2. Let b(v) be the second derivative of 14*v + 0*v**2 + 0 - 1\/6*v**3. Calculate b(n(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*i = i - 5, 4*n = -4*i + 4. Let u = -1 - -2. Let m be 7\/60 + u\/(-4). Which is the closest to 0? (a) 2\/7 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 4431*m - 100854. Calculate t(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 8*m**2 + 4 - 5*m**2 + m**2 + 3*m**2 - 3*m**2 + 0*m**2 + 2*m**2 + (0*m**2 + 0*m**2 + 2*m**2)*(4 - 2 + 0).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2203943167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -1\/135*n**5 - 1\/540*n**6 + 3*n**2 + 0 - 1\/108*n**4 + 0*n + 0*n**3. Factor x(u).\nAnswer: -2*u*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -32*h**3 - 2*h**2 - h + 2. Suppose -12*z + 4 = -14*z. Let a be u(z). Suppose a = 3*c - 45. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/32 - (-2418260)\/320 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1057 or 1475262\/1397?\nAnswer: 1475262\/1397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 - 33?\nAnswer: -36.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 - 362 = -11*g. Calculate the greatest common divisor of g and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 0. Suppose -12 = y - 5*z, -4*y + 5*z - z = 16. Let f = y - w. Let b(x) = -2*x + 2. Calculate b(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 9. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 5*l - 31, 3*d + 6*l + 16 = 8*l for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.06, 204, 4, 2290?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5*(-10)\/1. Suppose -1 = 2*x - 5*g, 0*x + c*x + g + 57 = 0. Let u(a) = -a**3 - 10*a**2 - 15*a + 7. Is u(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + v**2 + v. Let w(i) be the third derivative of 4\/3*i**4 + 0*i**3 + 0*i + 97*i**2 + 0. Give b(w(c)).\nAnswer: 1024*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + -148.078. Let o = 66.358 - 58.98. Let d = x + o. What is d rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*f - 25, 4*i - 42 = 5*f - 9. Suppose 4*y - 156 = i*y. Is y a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 9768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -195*t**3 + 8*t**2 + 8*t - 4. Let z(h) = -196*h**3 + 6*h**2 + 6*h - 3. What is -3*f(x) + 4*z(x)?\nAnswer: -199*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 18 - 2. Suppose 5*m + 0*m = i. Solve 0 = m*n - 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*a + 2*a + 28 = 0, -a + 56 = 2*i. Calculate the greatest common divisor of i and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.1095, 4, 8.5, 2, 5?\nAnswer: -0.1095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39692?\nAnswer: 2, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 + 440 = 54*s + 324 - 1713 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8 - (18 + -2)) + (-13 - 21)*1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*u + 0 - 1\/5*u**2.\nAnswer: -u*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 9*r**2 - 2*r + 6. Let w = -57 - -65. Let b be x(w). Is b + ((-3)\/4 - 14\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16846267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 4*g)*(-1093*g - 721*g**4 + 522*g + 570*g).\nAnswer: -2163*g**5 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/60 - 33*m**2. Let a(i) = -i. What is a(w(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11*z + 1255. What are the prime factors of r(-29)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 324187961 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*o**2 + 29*o**2 - 3*o**2 in the form a*o**2 + h*o + x and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53, -865, -3067, -7355, -14425, -24973, -39695?\n\"Answer: -116*v**3 + v**2 - 3*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnwrwnrnnrnjnrnjnn. What is prob of picking 1 w and 1 j?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123032 + 232323?\nAnswer: 1022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(153)\/(sqrt(18)\/sqrt(2)*-2).\nAnswer: -sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 50, 77, 126, 203?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0568 times 0.42?\nAnswer: 0.023856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 3*a**2 - 2*a + 2. Let l be b(-2). Let d be l\/(-22)*-2 + (-24)\/132. Solve -5\/6*o**2 - 1\/2*o + d - 1\/6*o**3 + 1\/6*o**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*w - 658*w + 62859 = 1455*w + 319*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1805 - -13626. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1967\/2 - -5289265\/5378. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 9*h - 3*h - 100*h**2 as i*h**2 + w*h + z and give i.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygzzgogfbzzgz. What is prob of picking 1 b and 1 z?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.799, -1.306?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 z when four letters picked without replacement from zdzdddddd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 68*h. Let r(l) = -2*l - 10. Determine q(r(b)).\nAnswer: 4*b**2 + 176*b + 780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2463462581.25 take away -24?\nAnswer: -2463462557.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/13)\/(l\/l**(-2\/5)*l) assuming l is positive.\nAnswer: l**(-151\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, a: 3, n: 6, i: 2}. Give prob of picking 1 i and 2 a.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 22. Let l = -2 - h. What is the least common multiple of (-2)\/(-1) - 13\/(65\/(-20)) and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-1)\/2). Let v be (1*(0 + -1))\/(z\/11). What is the highest common factor of 121 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*z - 8000, -y - 4*z + 1600 = -5*z. Suppose -4*k = 6*k - y. Calculate the greatest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.1, 5, 96?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5081, 10158, 15225, 20276, 25305, 30306, 35273, 40200?\n\"Answer: -x**3 + x**2 + 5081*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i**5 - 398\/3*i**2 + 442*i**3 - 56\/3*i - 294*i**4 + 8 = 0 for i.\nAnswer: -2\/9, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 7, r: 3, k: 6}. Give prob of sequence rpr.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(98) + 0)**2.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 43*j + 62. Calculate w(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2885)\/(-20) + 1\/(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.2. Let r = 2 - 2. Which is the third smallest value? (a) -0.2 (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -46*x - 24430. Calculate m(-531).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-35) + 185\/35. Let f be 46\/8 - (-3)\/12. Solve -h*u + f = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5 + 3. Suppose f + o = -f. Let q be (1 - f) + 92\/2. Solve 3*d + 5*p = 5, 3*d + q = 4*p + 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 5*h - 16. Let g be y(-7). Let d(p) = 4*p - 1. Let m be d(-1). Let s be 2\/m*30\/21. Which is greater: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12790\/27 + 473. Find the common denominator of -29\/3 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10824 and 19159464.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1203098 divided by -2.\nAnswer: -601549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 58*d - 8. Let g(u) = -27*u + 1957. Calculate f(g(v)).\nAnswer: -1566*v + 113498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -106?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2137836*p*v - 14536*p - 14 wrt v.\nAnswer: 2137836*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16654, -35579, -54504?\n\"Answer: -18925*b + 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -11, -1 in descending order.\nAnswer: -1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -17.\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 636.534288 and 0.833.\nAnswer: 637.367288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6 + 6*a + 2*a**2 - 7 + 5 + 17*a**3 + 5. Let t be l(6). Suppose -5*c + t = 1219. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25555?\nAnswer: 5, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2. Let c(h) = -3*h**2 + 4. Let m(s) = -3*s**2 + 3. Let j(r) = 3*c(r) - 4*m(r). What is j(v(z))?\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15618?\nAnswer: 2, 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100243513 (base 6) in base 14?\nAnswer: -323d77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 247987843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5 + 1257*y**4 - 2538*y**3 - 5046*y**2 + 2535*y + 3789 = 0. Calculate y.\nAnswer: -421, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*l - 6390 = -260*l - 170*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 38*o**2 + 74*o + 19. Let j be s(36). Suppose 0 = 88*d - j*d + 138. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4576228?\nAnswer: -3\/4576228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/28)\/((-168)\/49)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635843296.\nAnswer: 2, 11, 1806373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 2\/15, 3, -3\/8, 1\/5, 1\/18, 6\/49?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/30 and 68\/3153.\nAnswer: 31530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -25766 divided by -2\nAnswer: 12883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 28*r**2 - 20*r - 567. Is x(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 25*g + 7. Calculate d(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -132\/13, 0.3, 1\/9, 50, -5, 2?\nAnswer: -132\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -39. What is the second biggest value in 5, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/3 + 6580*k**3\/3 - 5412050*k**2 - 4116*k. Let r(c) = 0. What is c?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**2\/2 - 628311*l\/2 - 5654313 = 0.\nAnswer: -209419, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -58125.1 * -207\nAnswer: 12031895.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19182*0.4\nAnswer: -7672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -115700 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s)**(-30)\/((s*s*s**17)\/s*s*s**(-17)) assuming s is positive.\nAnswer: s**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9100*a**3*m**2 - a**3 + 44*a**2 + 3*a wrt m.\nAnswer: -18200*a**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + n**2 + n. Suppose 6*j - 11*j - 30 = 0. Let f(h) = h**3 + 2*h**2 + 2*h. Calculate j*x(a) + 3*f(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m + 7. Suppose 0 = 7*d - 29 + 1. What are the prime factors of u(d)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*d = 5*a - 35, -2*a + 18 = -2*d. Let h = a - -1. Suppose 1 = k - 1, -123 = -3*o + 3*k. Calculate the remainder when o is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmcmmcllscccmmccw. What is prob of picking 1 m and 1 l?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 24 = 3*u. Suppose 3*d - y = -2*d + 137, -u*y + 37 = d. Suppose -12*r + 14*r = d. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j\/j**32*j)\/j)\/j*j*j)*j*j)\/j**(-3)*j*j**(3\/10)\/j*j*j**(21\/4))**48 assuming j is positive.\nAnswer: j**(10212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from gighlhgghwh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*h - 1, z + 5*h - 35 = -4*z. Suppose -z*r + 516196 = -683804. Round r to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/38)*f)\/f)**(1\/40)*f**(-30)*f**(-13) assuming f is positive.\nAnswer: f**(-65361\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -121990000 to the nearest 1000000.\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -35079926 not equal to -35079926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 5:45 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-27))\/(2\/18). Is ((-15)\/g*-2)\/(3\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*c - 8 = -3*c, -c = -2 - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8677180 rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 13*k**2 + k + 15. Let u be f(-13). What is the tens digit of u\/(-11) - 1794\/(-66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zjzjjzjjzjzzj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1681578 and -143\/3923682.\nAnswer: 11771046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t - 5*a = 35, -4*t - 4*a + 4 = 0. Suppose t*r + 0*r - 32 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*t + 9, -3*t + 4*g + 2 = -6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641788794.\nAnswer: 2, 3, 17, 2097349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*w + 8, -31*g + 83 = -5*w - 291 + 8 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(27 + 16*m - 27) + 3*m + m - m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - l - 2. Suppose o - 24 = -0*v + 4*v, 3*v = 2*o - 23. Let x = 4 - 11. Let u = x - v. Give b(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 5.6362307271.\nAnswer: 2.6362307271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-8)*0\/2. Solve s = i - m - 7, -3*i = 2*m - 6 - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/29, -4, -2.1 in decreasing order.\nAnswer: -21\/29, -2.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*l**2 - 7*l - 533*l**2 + 274*l**2.\nAnswer: 10*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 35 = 16*x - 11. Which is the nearest to 3? (a) -2 (b) 4 (c) x (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 11:20 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902 = -6625*j + 6666*j. Solve 5*f - 34 = -2*c, -200*f + j = 2*c - 197*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6317 and -0.3.\nAnswer: -0.48951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v**3 - 55*v**2 + 71*v + 17. Let n(g) = -3*g**3 + 14*g**2 - 18*g - 4. Let r(u) = 9*n(u) + 2*y(u). Let i be r(-22). Does 10 divide (i\/36)\/((-2)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 6. Calculate the remainder when 63 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3 + (0 - 6 + 4)*(14 + 25 - 9))*(-25 + 25 - 3*i).\nAnswer: 186*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from awuuiuwlui?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192 - -191.5. Which is the smallest value? (a) 9 (b) x (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 2*r)*(-9*r + 21 - 21) + 4*r**2 + r**2 - 6*r**2 + r**2 + 2*r**2 - 2*r**2 + (2*r + r - 5*r)*(0*r + r + 0*r + (3*r - 4*r - r)*(0 + 0 + 3)).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 2, x: 1, u: 1, o: 2, i: 1}. What is prob of picking 1 h, 1 i, and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 + 68*a - 576 = 0. What is a?\nAnswer: 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1039362 and 136218.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -528 or -579?\nAnswer: -579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18670 + 5637 = -1669*q + 8664 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7821 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3809699000 to the nearest one million.\nAnswer: -3810000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 68520 (base 9) to base 2\nAnswer: 1011001000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7))**(2\/13)*g**(3\/5)*g\/(g**7*g*g)*g assuming g is positive.\nAnswer: g**(-2892\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203414 + 21322440?\nAnswer: 21114021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49857051 to the nearest integer?\nAnswer: 7061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*z + 33. Let t(a) = -a**3 - 7*a**2 - a - 20. Let w be t(z). Let x = -9 - w. Solve -2 + x = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*l - 33*l - 24*l - 34*l + 53*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2103503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10)*(-1110)\/(-888)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 + 2*w - 3. Let l be n(1). Suppose l*d - i - 1527 = 300, 4*i = 12. Let t = d - -5. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p**(-3))\/(p*p**(-1))**43 assuming p is positive.\nAnswer: p**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(2\/11)\/d)\/d)\/d**4)\/(d**(1\/3))**(-36\/5))**(1\/28) assuming d is positive.\nAnswer: d**(-47\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-7) - (6 - (-986)\/(-203))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.229 * -0.171\nAnswer: -0.039159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 + 9 + 70 - (31 + (1 - 2))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2171 - 5?\nAnswer: -2176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 7. Let y be (z - (-24)\/(-9))*3. What is the units digit of (-75)\/(-12) + 2\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 331, 320, 309, 298, 287?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 h, and 1 i when four letters picked without replacement from {l: 1, u: 2, i: 6, p: 1, h: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:44 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002.\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -78)\/(-7) + (2 - -3) + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174.6931 - 0.0069. Let o = -184 - d. Let g = o - -9. Which is the closest to 0? (a) 1 (b) g (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -2, -64, -1264 in descending order.\nAnswer: -2, -3, -8, -64, -1264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 2c1?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647442437.\nAnswer: 3, 549147479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -463 + -334232?\nAnswer: -334695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 10*q**2 + 10*q - 4. Suppose 2*y - 4*o - 2 = 0, -2*o = 4*y + y - 53. Let p be g(y). Solve -p*h + 1 = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -31252?\nAnswer: -31320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 + 2*w**2 - w**2 + (w + 3*w + 0*w)*(7*w + 0*w + w) + 2*w**2 - 8*w**2 - 6*w**2 to the form h*w + g*w**2 + q and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21c6d6 (base 15) in base 5?\nAnswer: -403031201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1425 and 10920?\nAnswer: 1037400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + h - h - 11*h**2 + 13*h**2 - h**4 - h**3 in the form c*h**3 + g*h + j*h**4 + w + n*h**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*a = -5*q + 1, -4 = -a. Find t such that -11*t**q - 11*t**3 + 19*t**3 - t**4 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Suppose -5*j - 1 = -11. Let y(a) = -5*a**2 - a**2 + a**2 - a**j. Determine y(o(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(75) + -1)*-5 + ((sqrt(1323) - (sqrt(1323) - 3*sqrt(1323)))*-1)**2.\nAnswer: -25*sqrt(3) + 11916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:12 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -19.5210619.\nAnswer: -5.85631857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 10 = 14*i, -2*x = -43*i - 24*i + 69*i + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 754*k*p**2 - 767*k - 938898*p**2 with respect to k.\nAnswer: 754*p**2 - 767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 12 = 0, 0 = 5*x - w - 20 - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*b**2*x**3 + 100*b**2*x**2 - 3*b**2*x + 6*b**2 - 4*b*x**3 - 59717*b*x wrt b?\nAnswer: 106*x**3 + 200*x**2 - 6*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u + f + 4*f, 0 = -2*u - 3*f + 8. Suppose -2*r - h = -79, -u*r + 85 = -2*r - 5*h. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.5 and 344.\nAnswer: 340.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 32. Let z(f) = 2*f + 8. Let p be z(j). Solve 4*h = p*q + 10, 2*h = -3*h + q + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624186 and 5886.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 5. Let n be 6 - (-2)\/(-1) - l. Suppose 3*t - 36 = n. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = j + 4*p, 2*j - j - 4*p = -10. Calculate the common denominator of -346*3\/480 + (-4)\/j and ((-12)\/(-4))\/(4\/(-58)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5889 + -5889.04. What is o rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1460*y**2 + 19*y - 5.\nAnswer: 2920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 4 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -21227 >= -18226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6642)\/3690 - (-2022)\/15) + 3?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134191383 by -8221.\nAnswer: -16323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1269 by -27.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -41*u**2 + 15*u + 0*u**3 - 1\/2*u**4 + 77. Differentiate j(g) with respect to g.\nAnswer: -6*g**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -39*s**4\/32 - 21*s**3\/8 - 9*s**2\/16 + 15*s\/8 + 60. What is y in o(y) = 0?\nAnswer: -1, 5\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 11, 22, 31, 38, 43?\n\"Answer: -z**2 + 16*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*a**2 + 27 - 15 + 49*a**2 - 21*a**2 - 19*a**2 - 10*a.\nAnswer: -2*(a - 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020759 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - k = 9, -15 - 6 = 3*y - 4*k. Suppose -25*g = -28*g + 48. Suppose -3*f + g = w, -3*f + 8*f = -3*w + 32. Sort f, y, 0.3 in decreasing order.\nAnswer: f, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*a + 270*a = -77 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610306.105 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let w = -93\/2 + 47. Which is the nearest to w? (a) t (b) -1\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 968 and 7.\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.3667l in millilitres?\nAnswer: 859366.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-6)\/(-4)*-2. Suppose -3*t - 3*u = -1341, 2*t - z*u - u - 924 = 0. Suppose -5*r + t = 117. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68a4 (base 14) in base 16?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)*m**(3\/4)*(m\/(m**(-1)\/m*m*m))**(6\/7)*m**(2\/3)\/(m\/((m**(-2)\/m)\/m))*(m**(-1)\/m*m*m)**(-9\/5) assuming m is positive.\nAnswer: m**(-125\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 10. Let v be j(4). Which is the nearest to -1? (a) 5 (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53006 + 53006 + 161*n)*(4 - 12 + 3)*(0 + 0 + 1) to the form h*n + x and give h.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 16. Let s be ((-8)\/(-20) - o)\/((-2)\/10). Differentiate -23*u**3 + 12 + 24*u**3 - s*u**3 wrt u.\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -89 - -9?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 14 - 4. Let s be (6\/(-10))\/(v\/(-10)). Solve 2*p + 11 = -s*j, 11 = 4*p - 10*j + 5*j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 703 - 415. Suppose 0*t = -o + 2*t + 54, -x = -5*o + t. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322 = 590*r + 600*r - 1204*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 a when three letters picked without replacement from avzaaafavpzpvvavn.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92287 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**2\/4 - 6919*o\/4 - 96541\/2.\nAnswer: -(o + 29)*(9*o + 6658)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 11*w**2 + 10*w - 48. Let o be n(-12). Let g = -0.038 - -1.038. Is o <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167125 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -980976699235?\nAnswer: 980976699235.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 13*o**2 - 9*o + 16. Let l be w(-3). Suppose -124*s + 128*s = l. What is the least common multiple of s and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.38? (a) -2\/7 (b) 5 (c) -17 (d) 0.08 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10*j**2 - j + 5. Let p(s) = -9*s**2 + 7*s - 4. Let m(l) = l. Let t(a) = 6*m(a) - p(a). Give 4*h(y) - 5*t(y).\nAnswer: -5*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -13\/4*t**4 - 2*t**3 + 0 + 15*t - 3\/4*t**5 + 6*t**2. Factor z(b).\nAnswer: -3*(b + 1)*(b + 2)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24034 and 1182?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, q: 2}. Give prob of sequence xxqx.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146564577 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*b**2*p**3*r**2 + 6613*b**2*r**3 - 3846*b*p**3*r**3 - 13*b wrt b?\nAnswer: -76*p**3*r**2 + 13226*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-332)\/(-66400) - ((-206)\/50 + 4)) + (-798)\/(-16).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66.2, -1, -0.1, -46 in ascending order.\nAnswer: -66.2, -46, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 235971\/(10 - 1)*(-2 - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1016228736 rounded to the nearest one million?\nAnswer: 1016000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45604423 (base 7) to base 4.\nAnswer: -33030313030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - l = -6448, 3*l = -9*r + 6*r + 9669. List the prime factors of r.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.38699224 rounded to 1 decimal place?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 58 (b) -0.1265 (c) 0.9 (d) -4 (e) -5 (f) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 57.1, 3, -29, 0.5?\nAnswer: 57.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -512 + 319. Let k = r - -311. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2781.296 - -2772. Round c to one decimal place.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/26 + (-48980)\/22165)\/((-21)\/22)?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/43)\/r)\/r**(5\/11)*((r\/((r\/(r\/(r\/(r\/(r*r**(2\/3)*r*r)))))\/r))\/r)\/r**(1\/9) assuming r is positive.\nAnswer: r**(-17819\/4257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m**2 + 7*m**2 - 2 + 2 in the form q*m**2 + w + c*m and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 10. Let d(s) = -5*s + 15. Let z(n) = 5*d(n) - 8*y(n). Suppose 0 = 879*q - 2038 - 3236. Determine z(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**5\/5 + 5*b**4\/16 + b**3\/4 - 5*b**2\/8 + b\/4 + 7. Determine w, given that p(w) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -6, 2, 7 in increasing order.\nAnswer: -6, -2, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(14\/3)\/m)\/(m**(1\/6)*m))\/(m**(-1\/7)\/m**20) assuming m is positive.\nAnswer: m**(317\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5321*c - 53224. Determine u(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 0.03\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g**4 - 3*g**4 - 3*g**4)*(-5 + 2 + 1)*(-3 + 0 + 0) to the form a*g**3 + b*g**4 + l + k*g**2 + s*g and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f**2. Let s(b) = -9*b. Let i(j) = -10*j. Let c(h) = 5*i(h) - 6*s(h). Determine k(c(v)).\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(sqrt(128)\/sqrt(4) - (sqrt(2) + 0)*-2).\nAnswer: 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.06, -4\/5, -1\/20?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.174 * -943.\nAnswer: 164.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, i: 14}. What is prob of picking 4 i?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5428333, -10856664, -16284995?\nAnswer: -21713326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 636034216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*y + y**2 + 210*y - 108*y as z + u*y + d*y**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 - 4*p - 6. Let h be f(8). Calculate the common denominator of -31\/20 and h\/(-15)*(9\/(-4))\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5.18058.\nAnswer: 20.72232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ede3 + -1?\nAnswer: 2ede2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 10*z - 16. Let t be c(-11). What is the third smallest value in 0.02, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 46 - 14 = 2*p, -80 = -4*c - 2*p. Suppose -c = u - 5*u. Let m = -1.62 + 1.66. Sort u, -3, m.\nAnswer: -3, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241490, -1932002, -6520554, -15456170, -30187874, -52164690, -82835642?\nAnswer: -123649754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -268838, -268842, -268856, -268886, -268938, -269018, -269132?\n\"Answer: -i**3 + i**2 - 268838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*n - 6*n = -24, -5*r - 2*n - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m + 2*m**2 + 8*m - 15*m)*(-m**2 + 0*m**2 - m**2) + (14 + 7*m**2 - 14)*(-2*m**2 - m**2 + 4*m**2) - 3*m**4 + 0*m**4 + 4*m**4.\nAnswer: 4*m**4 - 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3*w**3 + 2*m**3*w + 126*m*w**5 - 48*m*w wrt w.\nAnswer: 6*m**3*w + 2520*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -4\/259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15838375 by -3167675.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012005 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 641975 - 1925924\/3. Factor 2*s**2 + 0 + 0*s + w*s**4 - 5\/3*s**3.\nAnswer: s**2*(s - 3)*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**2 - y - 3. Suppose 3*k + 3 = -6*t + 3*t, k = 2*t - 13. Let b be f(t). Calculate the greatest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a8bc + -4?\nAnswer: a8b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n + 8 - 91*n + 56*n.\nAnswer: 21*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 110*i**2 + i + 1. Let b be (5\/(-10))\/(5\/60). Let h be ((-15)\/(-45))\/((-2)\/b). Does 28 divide r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 7*m - 4. Let h be (-280)\/(-12) + 1\/(-3). Suppose -2*j = -3*z - h, -3*z = 3*j - 0 + 3. Suppose j = 2*l - 4. Determine t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1375132*c**2 + 2758 - 1375131*c**2 + 140 to the form q + b*c**2 + x*c and give q.\nAnswer: 2898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l - m + 731 = 0, -l = m - 147. Let p = 249 - l. Let c = 106 - p. Solve 4*b = c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/254 - -3583\/2286. What is the common denominator of 115\/18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -78. Let c = f - 45. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*w**2 + 151*w**3 + 21*w**3 + 168*w**3 - 62*w**3 + 54*w**3 - 35 wrt w.\nAnswer: 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - b = 25, -z = 3*b + b + 15. Let v = -4 + 5. Let q = z - v. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(50)\/(sqrt(40)\/sqrt(4)))**2 + (sqrt(160)\/sqrt(8))**2 + (sqrt(200)\/sqrt(5))\/sqrt(8) + (sqrt(5) + 1*sqrt(5))*-3.\nAnswer: -5*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**3\/3 + 8*f. Let b be 10\/(-2)*9\/(-15). Give d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 10.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67175.97 micrograms in milligrams?\nAnswer: 67.17597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + -29. Let h = 41 + i. Suppose 0 = 4*t + 2*c - 72, c + 44 = h*t + 4*c. Solve -12 = -3*u, -5*u = 4*j - 4*u - t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 124236?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 - (-1 + -5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125218370?\nAnswer: 2, 5, 12521837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 5, 4, 3 in ascending order.\nAnswer: -5, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -211742 + -932\nAnswer: -212674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 380519654 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - 2) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.2, 0, -461\/2, 1.1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/41*12396393\/(-54). Let i = l + 11195\/2. Let z = i - 3\/41. Is z at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -684930 at most -684847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-18) + 4324\/828 - 3\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.2537 - 12.3041605. Let t = 0.0506 + k. Round t to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**3\/3 - 662*b. Let q(g) = -76*g. Give -72*j(w) + 2*q(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 320 + -7637?\nAnswer: -7317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 299917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 648 + -12. Calculate the greatest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -3a?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36561302 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y + 11*y + 23*y)*(-393 - 9 + 123).\nAnswer: -6138*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/18*57\/95?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 28 - 42)*(-d + 5*d - 3*d)*(-3 + 3 - 2*d).\nAnswer: 142*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 7 = -5*q + 2*o, 4*o = 3*q + 39. Put 2, q, -3 in increasing order.\nAnswer: q, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*18\/72*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvyckvkikvvky. Give prob of picking 1 v and 1 k.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-6)\/(-11))\/(60\/33)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220604 is divided by 110299.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpe when three letters picked without replacement from ggghegppgeg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.009 in -0.4, 1\/7, -1, 0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-15)*z*z)\/(z\/(z**(-2)*z*z)))\/((z\/(z*z**(-7)))\/(z\/z**(-1\/4))) assuming z is positive.\nAnswer: z**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05050667455 to five dps.\nAnswer: -0.05051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527824*g**3 + 527886*g**3 - 1055721*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221011 (base 3) in base 11?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 760 or 830?\nAnswer: 760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j*s*u**2 - 2*j*s*u + 2*j*u + 10*s*z**3 - 45*u**2*z**3 - 2*u**2*z + 2*u**2 wrt s.\nAnswer: 6*j*u**2 - 2*j*u + 10*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-6)*(-3)\/18?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376571 is divided by 194.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 10. Let v be w(6). What is the first derivative of 580 - 4*u**v - 627 + 13*u**3 - u**3 wrt u?\nAnswer: 36*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 8*g + 8. Let l(q) = -q**2 + 3*q - 3. Let p(a) = 3*h(a) + 8*l(a). Let f(m) be the first derivative of 50*m**3\/3 + 38. Determine p(f(i)).\nAnswer: 2500*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - ((-5)\/1 - -4). Suppose 47 = -d*q + 56. Suppose -3 = q*j - 4*y - 35, -j = 3*y + 11. What is the remainder when 13 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3964578 is divided by 23596?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-4 - (10 - 1 - 34))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*l**3 - 1489*i**3*l - 3*i**2*l**3 + 3*i**2*l**2 - 102*i**2 wrt i?\nAnswer: 12*l**3 - 8934*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/9 - 2114*y**3\/9 + 148934*y**2\/9 + 784706*y\/9 + 318932\/3 = 0. What is y?\nAnswer: -1123, -3, -2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 160*-29\nAnswer: -4640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16573 + -435?\nAnswer: 16137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 187 + (-3)\/(-1) - 4. Let y = n - 1300\/7. Let b(i) = -3*i - 2. Let f be b(-2). Sort -1, y, f in descending order.\nAnswer: f, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/21 + 10810\/6. Let o = -1043 + f. Suppose o = 23*k - 21*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116 (base 7) to base 10.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 + 14*n + 5. Is q(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84042.\nAnswer: 2, 3, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16682765*f**5 - 52461387*f**2?\nAnswer: 1000965900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -1\/12*l**4 - 11\/6*l**3 + 0 - 3*l**2 - 6*l. What is the units digit of z(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5688362551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -2*x - 206, -92 = -37*x + 33*x + 4*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 120*h**3 - 8*h**2 + h - 229. Let g(p) = -239*p**3 + 18*p**2 - 2*p + 460. Let o(j) = -4*g(j) - 9*r(j). What is the derivative of o(f) wrt f?\nAnswer: -372*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 5\/35111357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b0 + 6a4?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(176)*4 + 4 + -3 + sqrt(176) + sqrt(176) - ((1*sqrt(176) + -1)*3 + 4))**2.\nAnswer: 50864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -2, 244*o - 5*z = 246*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/10, -17, -2\/7, -2, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15389.\nAnswer: 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 177584?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/294338 and -97\/29326768?\nAnswer: 322594448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3*w - 2 + (4*w - 5*w + 2*w)*(2 + 2 - 2))*(w + 3*w - 2*w) to v*w + l + a*w**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 6*o + 20*o)*(-6 + 6 + 13*o).\nAnswer: 143*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 12*p**2 + 20*p - 15. Let x be t(13). Suppose 101*d + x = 120*d. Solve 3*h + 3*z = 4*z + 2, d = 4*h - 2*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14928 divided by -4.\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-1 - -4) - (7 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(475) + 1*sqrt(475)*6 + 0 + sqrt(133)\/(-2*sqrt(7)) + sqrt(1216)*-1).\nAnswer: -159*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4. Suppose -k + i - 8 = -i, -o*k - 2*i = -14. Suppose -f - k + 15 = 0. Calculate the remainder when 63 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99170131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -20 and -28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-1)*3 - (-3*sqrt(77)*-6 + sqrt(77)))\/((sqrt(1584) - sqrt(1584)*-3)*-4).\nAnswer: 19*sqrt(7)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/9 - (4121306\/(-126) - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/52415 and -49\/9145?\nAnswer: 95867035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -12*r + 12. Let i(x) = -5*x**3 - 15*x**2 + 2*x + 8. Let n(a) = 3*a**3 + 8*a**2 - a - 4. Let y(b) = 4*i(b) + 7*n(b). What is y(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 5:52 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.89865l in millilitres?\nAnswer: 17898.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 4*o - 45 + 33.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, -65, -151?\n\"Answer: -86*r + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23294, -46596, -69898, -93200?\nAnswer: -116502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032314965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*19\/1026*-9*(-52)\/(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 286\/9913 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37945667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 1. Let c be w(6). Let g(s) = s**2 + 2 + s + 1 + 0*s**2. Does 23 divide g(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 129840.\nAnswer: 7\/43280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*i - 6, 5*b + i = -3*i + 27. Suppose 0 = 2*j + 4, -b*v + 2*j + 4 = -7*v. Solve -5*l + 2*l + 3 = v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 26*g**2 - 12*g + 106. Determine c(6).\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 - (-80 - -133 - -50)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + q - 8, q - 2 = 0. Suppose m + 17 = -j*m + 5*x, 0 = -m + x - 3. Let t be 15\/((-1)\/(-2)*m). Solve 3*s - 3*b + 0 + 3 = 0, t = -5*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*(sqrt(320) + sqrt(320)*-4 + sqrt(320) + sqrt(320)))\/sqrt(8))\/(1*sqrt(512)*2 - 2*(sqrt(512) - 1*sqrt(512))).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 67, 203, 465, 895, 1535?\n\"Answer: 7*i**3 + 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - 256\/(-24))\/((-4)\/(-150)). Solve -5*w = -z - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 2*u**2 + 30008*u + 120070. Calculate k(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*j = 0. Let g(f) be the second derivative of -1\/3*f**3 + f + j*f**2 - 1\/12*f**4 + 0. Find the second derivative of g(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*b**3*i**2*j - 14*b**3*i*j + 26*b**2*j - b**2 - i**2*j + 2*i**2 wrt b.\nAnswer: -270*i**2*j - 84*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/30*(-4)\/10*440\/924.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**5\/6 - 25*k**4\/4 + 185*k**3\/2 - 675*k**2 + 2430*k - 78. Factor a(h).\nAnswer: 5*(h - 9)**2*(h - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75782*g**5 - 2240*g + 1 wrt g?\nAnswer: 1515640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + l + 37, -l + 0*l + 11 = h. Let u be 6*(16\/h - 0). Suppose 7*j + 220 = u*j. Round j to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26810000 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = -1. Calculate the remainder when 13 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -6*d**5\/5 + 72*d**4 - 846*d**3 - 6900*d**2 - 15048*d - 52272\/5 = 0.\nAnswer: -2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -90819300 divided by 132?\nAnswer: -688025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*i - 131*i + 60*i - 20)*(-14 + 9 - 25)*(-2 - 1 + 5).\nAnswer: -180*i + 1200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49, 54, 63, 76, 93, 114, 139?\n\"Answer: 2*r**2 - r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94 + -192?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c + 15. Let a be c - (1 + -2) - -27. Let u be (117\/65)\/(3\/a). Solve -3*g - u = 0, -2*g + 4 = -t + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*w**4 + 13*g**3*w**2 + g**3*w - 2*g**2*w**2 + g*w**2 - 52797143*w**6 - 41388 wrt w?\nAnswer: 24*g**3*w - 6335657160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 20*h - 19. List the prime factors of u(13).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, e: 2, f: 2, d: 1, p: 1, y: 2}. What is prob of sequence pe?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*q + 2*q, d = 2*q + 1965. Calculate the common denominator of -17\/6 and 2\/80*d\/(-10).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 995*14\nAnswer: 13930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-2)\/170*70\/(-14)). Solve -2*n - 81*l - 12 = -f*l, 0 = -3*n + 5*l - 18 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h + 37333394 - 6574930 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27369?\nAnswer: 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/16682 and 78\/(-12)*((-176)\/56 - -3).\nAnswer: 116774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgdd when four letters picked without replacement from tmdgtmtddmmmmttdmt.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33233, -32346, -31459, -30572?\nAnswer: -29685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5174570 - -14?\nAnswer: -5174554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from {r: 4, v: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 * -13.\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87488\/5 - 17497. Which is the closest to -0.1? (a) p (b) 5 (c) -60 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 661*j**2 - 6261*j?\nAnswer: 1322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74.26 - 75. Let m = r - 1.78. Round m to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/2963 + 2951\/11852. What is the nearest to 0 in y, -0.07, -0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275618 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. What is the second derivative of -y*m + 5*m - 7*m + 4*m + 2*m**2 wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 522*j. Let t(v) = -50*v**2 + 60*v + 345. Let x(g) = 13*g**2 - 16*g - 92. Let f(m) = 4*t(m) + 15*x(m). Determine z(f(n)).\nAnswer: -2610*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 + -10?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32754757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3650*q - 1966*q**5 + 212*q**2 - 439*q**2 + 227*q**2 wrt q.\nAnswer: -39320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884.1383 months in decades?\nAnswer: 15.7011525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 6*a**2 + 7*a - 7. Suppose -7*k = -2*k - 10. Suppose k*v + 0 = 8. Suppose 1 = v*g - 19. Calculate w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from lalehhqlhlhhhl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*p = w + 224330, -3*p - 373898 = 5*w. Let f be w\/(-733)*1\/8. Let r = f - 2\/733. What is the common denominator of r and -6\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**2 + 626*m + 20. Let x(q) = -6*q**2 + 627*q + 15. What is 3*p(i) - 4*x(i)?\nAnswer: 3*i**2 - 630*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2834678*g**2\/5 - 5669354*g\/5 - 4\/5 = 0.\nAnswer: -1\/1417339, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (610\/(-30) - -5)*(-315)\/(-6). Let s = c - -1026. List the prime factors of s.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 14 = -4. Suppose -2*y = k*y - 4. Let x = -277 - -3603\/13. What is the third smallest value in y, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -89*s**2 - 549*s + 2. What is r(-6)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (sqrt(5445) - -2*sqrt(5445)))\/sqrt(9)*2 + 3.\nAnswer: -64*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475459113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/81 and 14\/33.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:25 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6229531 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27612 = 2*z - 5*i, 5*z - 2*i - 16604 = 52447. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 17. Calculate the smallest common multiple of v(-23) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(-5*m + 5*m + 4*m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/15)\/(2\/5). Let m be 3*x\/(-18)*(36 + -3). Suppose -2*s - 135 = -m*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008))*3*-5.\nAnswer: -180*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105532 + -32?\nAnswer: 105500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = 6. Suppose v*n + 3*n = 12. Solve 5*b + 21 = n*h, -4*h - 2 = 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184749701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(525\/(-25))\/(-294)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 163418663.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, t: 2}. What is prob of picking 1 q and 2 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from jtjtjjttjjjnjn.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-10) - (-870723)\/16065?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -b. Let g be (-4)\/26 - 123\/(-39). Let v be 6 + (g - (-12)\/(-2)). Solve v*k - 2*k = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s + 6 = 0. Let p(v) = 289*v**2 - 6*v + 5. Let k be p(s). Suppose 9*t - 5*t = k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4546366?\nAnswer: 2, 11, 197, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9179 or -1?\nAnswer: 2\/9179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 22*a**4 + 1765*a**3 - 706*a**2 + 74*a + 3. Let q(j) = 23*j**4 + 1765*j**3 - 707*j**2 + 73*j + 2. Let n(c) = -3*q(c) + 2*t(c). What is x in n(x) = 0?\nAnswer: -71, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n**2 - 80*n - 12. Is 9 a factor of p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 3:38 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 1011000010?\nAnswer: -1010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -295 + 467 - 17*y - 9*y + 11*y as m*y + w and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0279204 rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/11)*y)**(-8)*(y\/(y\/(y**(1\/31)\/y)))**38 assuming y is positive.\nAnswer: y**(-17748\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 5*c**2 - 6*c + 1. Determine h(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.3 in 0.5, 9, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-3)\/30)\/(84800\/6000)*-16\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*f + 184*f - 80 = 6*l, -8*f = l - 6*l - 128 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) 11 (c) 0.5 (d) 3\/5 (e) -1284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -1\/4*b**4 + 79\/120*b**6 + 12*b**2 + b**3 + 0*b + 0 - 3\/20*b**5. Let g be t(11). Round g to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -540*l*p**4 + 16*l - p**2 wrt p?\nAnswer: -12960*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -58*b + 55*b + 4*s, 3*b + 4*s = 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210215.3 milligrams to grams.\nAnswer: 210.2153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.37 - -0.232. Round y to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46656*h + 18446*h - 37333*h + 78781*h.\nAnswer: 106550*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a factor of 15937334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.91 + -0.05. Let c = 230 - 229.4. Let r = g + c. Round r to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*1*sqrt(3388))\/((sqrt(4) - sqrt(324))*6 + sqrt(48)\/(sqrt(72)\/sqrt(6)) + sqrt(4)).\nAnswer: 33*sqrt(7)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/24 + p**3\/6 + 3*p**2\/2 + 2*p. Let u(s) be the first derivative of g(s). Give u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 4*b - x, b = -3*x + 3. Suppose b = 4*q - 6*q. Is 1\/6 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75, -148, -221?\n\"Answer: -73*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 39. Suppose j*y - 32 = 4*t, 4*t + y = 9*t + 43. Round t to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -3*h**2\/2 + 6*h + 745. Let t(p) = -3*p + 7. Calculate 7*l(d) - 6*t(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 1\/4 (b) -2\/11 (c) -5.00425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 1:25 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, e: 5}. What is prob of sequence we?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times 5646.7?\nAnswer: 451736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 7*f**2 - f - 9. Let y be w(-7). Let j(a) = -a. Let s be j(y). Let z = -9 + 12. Solve z*k - s = -2*t + k, 2*t + 3*k = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -481 + 824. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12320 divided by -32?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 241521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 w, and 1 x when four letters picked without replacement from {w: 4, x: 2, b: 7, d: 3, v: 1}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -148, -0.5, -15, -0.0006?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7 = h - 31, -3*h - 4*t = -74. What is the least common multiple of (225\/(-30))\/(5\/(-6)) and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19 - (-15 + 22) - (-5 - 0). Sort 51, 1, k in ascending order.\nAnswer: 1, k, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1798 - 1793. Suppose 2*p + 0 = -q + 1, 5*q = 2*p + 41. Suppose 2*f - q + 1 = -z, -z - 5*f = -12. Solve 3 = -o*n - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(sqrt(125) - -1*sqrt(125)*-1 - ((sqrt(125) - (sqrt(125) + -1)) + 4) - -3*(1 + -1 + sqrt(125)))**2 + 4.\nAnswer: -6901 + 900*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 5*f + 8 - 19*f + 10*f. What is k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 7:57 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124665931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23.2 * -5\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*j**3 - 11\/4*j**2 + 0 - 3\/2*j.\nAnswer: j*(3*j - 2)*(10*j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 1. Let w(q) = -q**2 + 9*q + 2. Let f(t) = -t - 6. Let o be f(-5). Let s(n) = o*w(n) - 2*k(n). What is the second derivative of s(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 17*i + 3. Let f be o(17). Solve -h = -8 + f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.2, -4.6, -0.5 in decreasing order.\nAnswer: 0.5, -0.2, -0.5, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = q - 5*t, 2*q - 5*t + 54 = 100. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77396 - -36822564?\nAnswer: 36822563.22604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333 + 124411?\nAnswer: 130244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-4\/3))**(1\/26)*p**(2\/7)\/(p*p*p\/(p*p\/p**(-2\/15)*p*p)*p) assuming p is positive.\nAnswer: p**(1109\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6*-534030\nAnswer: -3204180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + (5 + 1*sqrt(17) - sqrt(17))**2 + (sqrt(68)\/(sqrt(4) - sqrt(4)*2))**2).\nAnswer: 4*sqrt(17) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1642 in 0.2, 2\/15, 0.3, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-256)\/6)\/((-6)\/18). Let y = d - 129. Which is the second smallest value? (a) y (b) -8 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2 + 9444*a = 0?\nAnswer: 0, 4722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - b = -27, 6*b + 33 = 3*s + b. Let f be (21\/s + -3)*6. Suppose 3*t + 2 = -i, 0*t + 6 = -f*t. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o - 14. Let j be q(7). Let l(g) = -g. Let h be l(0). Suppose a - 2*i - 5 = j, i = -h*i - 1. What is the remainder when 8 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532796681 a multiple of 1949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-675)\/(-972))\/(5\/6).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539 and 2554958.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + f = -2*f - 20, -10 = -4*n - 2*f. Suppose -3*q - 9 = 0, -n*b + 33 = -q + 5*q. Solve -3*s - b = -0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*10\/(-15)*31. Solve -13*i**2 + 52*i + 80 - 39*i + k*i + 8*i**2 = 0 for i.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2314200.\nAnswer: -1\/578550","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 986, 2052, 3172, 4352, 5598?\nAnswer: 6916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b - 3*n + 2*n, -3*b = 4*n - 25. What is the highest common factor of b and 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 20\/5*-1. Let v(t) be the second derivative of 0 - t + 0*t**d - t**2 + 1\/12*t**4. What is the derivative of v(w) wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80368 by 10046.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/6 - ((-20)\/(-10) - 3)*-1. Factor 0 - 3\/5*q**3 + 3\/5*q + u*q**2.\nAnswer: -3*q*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + 5. Let t = -26 + n. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7654671.\nAnswer: 3, 37, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 23 - 20 + 22*m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j + 2. Let z be a(0). Solve -6 = -z*o - o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -14, -4, 812, -3\/5, -3, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 7) to base 14.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 26?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2837, -444, 0 in decreasing order.\nAnswer: 2837, 3, 0, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.6343854 from 0.38357686.\nAnswer: -2.25080854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -9. Let k(z) be the third derivative of z**5\/60 - z**4\/6 - z**3\/6 + z**2. Let a be k(m). Put 3, 2, a in increasing order.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 4*p)*((4 - 3 + 2)*(p**2 - p**2 - p**2) - 31*p**2 - 23*p**2 + 7*p**2) in the form j*p**3 + n*p**2 + k*p + c and give j.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygq when three letters picked without replacement from ddxuggydqqgdxxdduddg.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 10432\nAnswer: -19\/10432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1592089895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 42 - 7 = 0. Let k be 15\/3 + -3 + 2. Suppose 3*o - o = k. Calculate the smallest common multiple of z and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*p**3*v + 5*g**2*v + 2*g**2 + 9*g*p**3 + 2*p wrt v.\nAnswer: g**2*p**3 + 5*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6199 + -4184. Suppose -3*w + 20749 = 5*u, -3*u + 4*w + 10446 = -r. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 27725589*j**2 - 64059065371440*j + 192176946584100.\nAnswer: -3*(j - 4620930)**2*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42.017 + 42. Round w to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, y: 1, f: 1, u: 3, q: 3}. Give prob of picking 1 k and 1 y.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8856 = -241*m + 576*m + 24309 for m.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2066*r + 2188*r + 2806 = 0 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + c**2 + 0*c**2 - 3*c + 3*c - c**2 + (-1 + 1 - 2*c**2)*(-5 - 1 + 5) - 39*c**2 + 60*c**2 - 32*c**2 - 2*c**2 + c**2 + 0*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbybylygyygbgbbb. Give prob of picking 2 g and 1 l.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -16*v**2 + 47*v - 24. Is 35 a factor of j(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (29 + (-34 - -25)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)*y*y*y*y**(-3)*y*(y**(-1))**(-5\/8) assuming y is positive.\nAnswer: y**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 70, 162, 282, 424, 582?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-588)*(-35)\/(-4))\/((-2)\/(-20))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933 + 889 - 7*r - 1822.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 25?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*r = 64750, 21616 = w + 30*r - 26*r. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21503, -86048, -193621, -344222?\n\"Answer: -21514*a**2 - 3*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 63?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26125 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11542, -11492, -11442, -11392?\nAnswer: -11342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = -2*r, -2*s - 4 = r - 1. Suppose r*p = 4*o - 25, 1 = 5*o - p - 4. Is o less than -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 17 = 12*r + 44 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let m(z) = -32. Let t(s) = -26*s - 201. Let c(a) = -5*m(a) + t(a). Determine c(x(u)).\nAnswer: -52*u - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/17138 and -107\/3116?\nAnswer: 34276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {t: 10, a: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -6, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*q + 2)*(-3*q - 6 + 6) + 4*q**2 + 5*q - 1 + 19 - 21.\nAnswer: 16*q**2 + 5*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o**3 + 8*o + 23*o**3 + 20*o**3 - 99*o**3 + 12*o**3 to the form i*o**3 + k*o + u*o**2 + z and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61860 = 1132*a - 1127*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 357, 1.6, -0.7 in increasing order.\nAnswer: -1, -0.7, 1.6, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 35. Let q = j + 12. Which is the nearest to q? (a) 3\/7 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -f?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94477.75 millennia to years.\nAnswer: 94477750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79689916281 - -79689916097.000000604. Let m = w + 184. Round m to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/459983 and -101\/3740?\nAnswer: 1720336420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1902, 2811, 3722, 4635, 5550?\n\"Answer: o**2 + 906*o + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 19. Let q = 545 - 483. Suppose q = t + 70. Calculate f(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10125874 divided by -11\nAnswer: 920534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-224)\/(-12))*7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10178, 40825, 91954, 163565, 255658, 368233, 501290?\nAnswer: 654829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18539?\nAnswer: 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 337746560185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-1))\/115)\/(572*(-617)\/135740)\nAnswer: 1\/299","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826933 not equal to 2826977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, w: 2, j: 1, t: 2, m: 1}. Give prob of sequence wpw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 0*b**2 + 5*b**2 - 6*b**2 + (-b**3 + 5 - 5)*(-1 - b + 1) - 3*b**4 + 0*b**4 - 4*b**4.\nAnswer: -9*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -4 (c) -9\/1762\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17452026 to the power of 1\/2, to the nearest integer?\nAnswer: 4178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 5*o + 5. Let i be x(-5). Let u be -7*i\/((-105)\/6). Suppose 4*l + 0*l - u*v = 28, 5*l - 26 = -2*v. Solve -3*j - l = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231021330 (base 4) to base 13.\nAnswer: 66255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 + 22*h. Let j(c) = -c**3 + 5*c**2 - 23*c. Let v(s) = -s**3 - 46*s**2 + 2*s + 98. Let x be v(-46). Give x*j(m) + 5*z(m).\nAnswer: -m**3 - 28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625362 less than 1625610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110811*d**3 - 221652*d**3 + 110843*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 17?\nAnswer: -13\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68956043 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-2)\/7)\/((-8349)\/(-10626)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*x = 14, 2*x = -4*w - 0*x + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-48)*152\/(-57)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -5677327.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7822 (b) -4\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 43. Let m = 187 + -191.06. Let l = m + 0.06. Which is the smallest value? (a) w (b) l (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -16. Calculate the remainder when 20 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(1\/6))\/j*(j**(-8)\/j)\/j*j)\/((j\/(j*j\/j**(1\/9)*j*j))\/((j*j**(1\/3)*j)\/j)))\/((j*j\/j**(-1\/2)*j)\/j**(1\/11))**(-39) assuming j is positive.\nAnswer: j**(12673\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 4*a**2 + 6*a + 4. Let g = -33 + 36. Let h(u) = -2*u + 0 + u**3 - 3*u**2 + u - 2. Let d be h(g). Give b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 4.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 230, 603, 1122, 1787, 2598, 3555, 4658?\n\"Answer: 73*y**2 + 154*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-2)\/(-1)) + 103. Suppose -627 = -3*g - j. Let a = -122 + g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 129448 = 4*z - 9*z, -3*z + 77682 = -5*g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965079 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 1. Let u = 9 - 5. Let w(d) = 3*d - 4. Let q(a) = u*o(a) + w(a). Let s(r) = r - 5. Let g(f) = f - 4. Let i(j) = 5*g(j) - 4*s(j). Give i(q(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 127*s.\nAnswer: -127*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/12 - 3*c. Let r(q) = -5*q. What is m(r(u))?\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -z - 8, 5*z = i + 2*i + 4. Suppose 0 = 5*j + z + 3. Let r be (-3 + j - -2)*-2. Solve 0 = -r*u - o, -4*u + o - 8 = -0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391134.4 millilitres to litres.\nAnswer: 391.1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 19*q - 3*p + 26 = 0, 0*q + 28*q - 2*p = -144 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*r - 10, 3*r = 5*r + 8. Let s be (-2)\/(-12)*(3 - j). Let b be 9 + -10 - (-1 - -1). Put 5, b, s in increasing order.\nAnswer: b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -232?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 26\/7 (b) -6990 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33824 divided by -30.\nAnswer: -16912\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 3 - (3 + -2)*0. Let d(r) = -2*r + 14 - 8 - n*r - 2*r**2. Give d(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*22\/286*9\/36*-244.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36707, 73417, 110127, 146837, 183547, 220257?\n\"Answer: 36710*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269632, -539284, -808936, -1078588?\nAnswer: -1348240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436367, 436526, 436685?\nAnswer: 436844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 o when three letters picked without replacement from oflfxfqfllfqlq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -951319 + -21.\nAnswer: -951340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o - 5*v + 115 = 0, 4*o + v - 327 = 0. Solve -75*a = -o*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*sqrt(75) + (-1 + sqrt(243))*2.\nAnswer: -2 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 8*x**2 - 3*x + 9. Is v(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2031 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 16*b**3 + 11*b**2 + 5*b - 10. Let d(w) = -3*w**3 - 2*w**2 - w + 2. Give 11*d(t) + 2*r(t).\nAnswer: -t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/51)\/((-75)\/90)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 232648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 1 + 92*f**2 + 114*f**2 + 0 + 3.\nAnswer: 209*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 806234101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 - 9 = -3*n, -2*p + 3 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -2*c - 5*j + 25, -2*j - 9 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 110*g - 106*g - 3*v - 44, 3*v + 15 = g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + j**2 - 3*j + 1. What is l(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244937 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiissisiiisssisiii. What is prob of picking 2 s and 1 i?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -262194 (base 10) in base 2?\nAnswer: -1000000000000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12732195211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 18 - 13 - 7*r + 5*r**2 + 32. Let u be c(-6). Which is greater: u or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98603325 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 295860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 14*p**2 - 12*p + 16. Let d be q(-13). Suppose -1 + d = y. Suppose -2*g = -g - 5*x - 17, -4*x - 40 = -y*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 14*t + 25. Let r(g) = -141*g - 252. Let h(n) = -6*r(n) - 63*w(n). What is the units digit of h(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1357 - -77426\/57. Let y be 36\/114 - (-1 + 1). Let q = r + y. Which is the nearest to -2\/5? (a) 3 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 14*l + 5. Let d(r) = -r. Let z(k) = -6*d(k) - o(k). Let y be z(-7). Solve -4*n = 4*x + 8, y*x + 3*x - 30 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 14*u**2 - 14*u + 12. Let w be t(13). Let g(o) = o**3 - 2*o**2 + 2*o - 3. Let d be g(2). Let x be 3 + 1*(w - d). Is 1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m - 8. Suppose 74*i - 30 = 84*i. Let y be k(i). Solve b = -y*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 - 4*k**2 + 2*k + 2. Let d be u(-3). Suppose -d = -12*m + 151. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20403 - 10485. Calculate the greatest common factor of 228 and y.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*o + 438 - 430, o - 5*r - 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1270387 divided by -235.\nAnswer: -1270387\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 p when four letters picked without replacement from {c: 5, p: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(152) - sqrt(152)) - sqrt(152))\/sqrt(8).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, 49, -3\/7 in ascending order.\nAnswer: -3\/7, 49, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/4 - 30*z + 300.\nAnswer: 3*(z - 20)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 4*k. Suppose 0 = -2*j + y - 7, 5*j + 2*y + 17 = -5. Suppose 2*q = 8, 5*n - 5*q - 28 = -2*q. Let t be 1 + -2 + n\/j. What is a(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001554 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from hsehaasaagalg?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 3*k**2 - 217*k + 261*k.\nAnswer: -3*k**2 + 44*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 3:08 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838 times -0.4?\nAnswer: -735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 483669 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 63*t**2 + 228*t - 30. List the prime factors of z(-24).\nAnswer: 2, 3, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))*-3 - (-1 + sqrt(11) + 0)**2.\nAnswer: -15 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 38 = 2*h, 4*j + 3*h - 86 + 127 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 780131.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 568 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -253. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2 + 14*l + 16. Let y(i) = -5*i**2 - 6*i - 7. Let k(u) = 3*n(u) + 7*y(u). Give k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 38*c**2 - c - 51. Let b(t) = -39*t**2 + 183*t + 184. Let d be b(-1). Give n(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**5 + 2*c**3*f**3 + 2*c**3*f + 55*c**2*f**3 - 2*c*f**3 wrt c?\nAnswer: -540*c**2 + 12*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 1\/7, 11\/5, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2359916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -15. Let d(r) = 3*r + 3*r + 0 - 4*r + 17. Let x(l) = l + 8. Let m(n) = -6*d(n) + 13*x(n). Determine m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.08 or 99041\/89?\nAnswer: 99041\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) -0.2 (b) 1\/202 (c) 3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven halves of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.091*-0.7.\nAnswer: -0.0637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01263 - -0.01281014. What is m rounded to 6 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/2, 522\/11, 3, 5968?\nAnswer: 522\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 196845163 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -19*x - 35. What are the prime factors of n(-9)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1062, 1093, 1124, 1155?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 876*x. Let k(s) = -13*s + 3. Determine d(k(u)).\nAnswer: -11388*u + 2628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 22*k**3 + 85*k**2 - 246*k + 48. Let q(h) = -8*h**3 - 30*h**2 + 82*h - 17. Determine -17*q(g) - 6*r(g).\nAnswer: 4*g**3 + 82*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhhhrrhhrrhh. What is prob of picking 2 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 1, u: 1, a: 2, z: 1, c: 2}. Give prob of sequence ck.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + y - 1. Let u be q(2). Let s be -30*2*u\/12. Calculate the greatest common factor of s and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*f**2 + 155*f + 192*f**2 - 62*f**2 + 439*f - 65*f**2 as l + c*f**2 + o*f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 96\/715 in -8, -2, 1\/82, -0.5?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v**3)**19 assuming v is positive.\nAnswer: v**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2102213 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 14140*s**2 + 12503292*s + 12489156.\nAnswer: 4*(s + 1)*(s + 1767)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000163707 rounded to seven decimal places?\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 126?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2884, -9914, -21116, -36490, -56036?\nAnswer: -79754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -457784?\nAnswer: -457784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 + 3*p**3 + 24*p**2 - 36*p.\nAnswer: -3*p*(p - 2)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*-2 - (sqrt(1900) + 0) - (sqrt(228) - 4*(-2*sqrt(228) + sqrt(228)))\/sqrt(768))**2.\nAnswer: 193819\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1029 and 1407329?\nAnswer: 4221987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 2*x - 6. Let w(i) = -i**2 - i + 1. Determine -d(f) - 4*w(f).\nAnswer: 3*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 5:03 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 10 = -3*j, -5*j - 10 = -2*z. Let l = -3 + z. Let d = 89641\/537810 + -1\/89635. Sort 11, d, l in decreasing order.\nAnswer: 11, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -1\/3*g**3 + g**4 - 7*g**2 - 7*g + 0 + 1\/20*g**5. Give s(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 5*z - 22 = 0, 0 = -3*j - z - 16. Let a be j*((-1)\/(-2) + 0). Is a\/12 + 282\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321068 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1478 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -16551.672.\nAnswer: -82758.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -550480.3 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6261034, -6261031, -6261028?\n\"Answer: 3*y - 6261037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151 + 50 + 44 + 57 + 13592*f**2 to the form w*f**2 + t*f + j and give w.\nAnswer: 13592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -84, -199, -360, -567, -820?\n\"Answer: -23*y**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-80)*2*(-312)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7917 and 3003.\nAnswer: 87087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/14*2\/1. Let z be 14\/49*(-7)\/i. Factor -2*p**3 - z*p - 2*p**2 + 0 - 2\/3*p**4.\nAnswer: -2*p*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 2*y - 140. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -406*p - 988. What is r(0)?\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2\/5 - 43*w - 2310 = 0.\nAnswer: -110, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004123128 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-3894) + (-918)\/(-15147).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(28) + sqrt(7) - (sqrt(175) + 0))**2 - ((-2*sqrt(84) + sqrt(84) + sqrt(84) + sqrt(84))\/sqrt(12) + -5)**2).\nAnswer: -36*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -342112 + 2?\nAnswer: -342110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**3 + 2 + 112*d - 55*d - 57*d.\nAnswer: -39*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4)*-4 + sqrt(7))**2 + (sqrt(7) - (-1 + sqrt(252))) + (sqrt(14)\/((sqrt(4) + sqrt(12)\/sqrt(3) + sqrt(4))\/sqrt(2)))**2.\nAnswer: -5*sqrt(7) + 583\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by (2\/7)\/(4\/238)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/13))\/y)**(-2\/9)\/(y**(-2\/9))**(-1\/8) assuming y is positive.\nAnswer: y**(1\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-3 - -6)*11. Let x = v + -8. Factor -x*r**2 + 8*r**2 - 2*r**4 + 2*r**3 - 2*r**2 + r**2.\nAnswer: -2*r**2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - (2 + (sqrt(80) - (4 + sqrt(80))))) + sqrt(80))*-4 - (sqrt(10)\/(sqrt(4)\/(sqrt(16)\/sqrt(8))) + -2))**2.\nAnswer: 396*sqrt(5) + 5481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/239 and ((-3)\/8)\/((-64)\/(-3328)).\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 8. Let f be c(-6). Suppose 10 + 6 = 4*o, 0 = f*w - 3*o - 8. What is u in -6*u**w - 2*u**3 - 6*u**4 + 0*u**4 + 2*u**4 + 4*u**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81) - (sqrt(81) + (sqrt(81) - -2*sqrt(81)) + sqrt(81))*-5 - sqrt(81))\/(1*sqrt(75)))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-1*1 + sqrt(102))\/((sqrt(22) + sqrt(22) + sqrt(44)\/sqrt(2))\/sqrt(11)))\/(4*4*-2*sqrt(192)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1*(-12)\/6. Suppose 2*l = m + 5, -l = h*l + 2*m - 26. Suppose 3*w - 29 - l = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 3) + (-2 + 4 - -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 5) in base 11?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r**2 + 18*r + 13. Let d be i(9). Let s = d + 10. Calculate the remainder when 136 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = c + 422 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68011164?\nAnswer: 2, 3, 13, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpbpbqpbfjb. Give prob of sequence pj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*i + 15 = 0, -35*x + 31*x + 4*i - 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35987 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 166 = -269. Let n = f - 32. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q - 12. Find the third derivative of -6*h**q + 17*h**4 + 6*h**3 - 3*h**4 + 4*h**2 wrt h.\nAnswer: 336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48526357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 4, n: 4, t: 1}. Give prob of sequence tu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -1 - (30 + -58 + -24)) + 1 + 3.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -0.5, 7\/2036 in ascending order.\nAnswer: -7, -0.5, 7\/2036, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = n. Let i(a) = -a**2 - 6*a - 4. Let x be i(-4). Let g be (21\/6)\/(2\/x). Calculate the highest common factor of n and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4720, -9457, -14194?\n\"Answer: -4737*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*w + 61*w - 210 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 12:04 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3 and (-108)\/(-282) + (1 + -1)\/(-1)?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 - -98.8. Let t = 94.0091 - i. Round t to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let k(o) be the first derivative of -o**5\/30 - 7*o**3\/3 + 4. Let z(y) be the third derivative of k(y). Determine s(z(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 5*u + 6. Let q be h(-6). Let y(g) = g**3 + 4*g**2 - 7*g - 4. Let i be y(-5). Suppose -6*x = -3*x - i. Solve q = x*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -231, -982, -2595, -5400, -9727?\nAnswer: -15906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13323 - 6490. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 6*j - 3*j - 32, 2*j - 24 = -2*u. Let p be 8\/(-20)*j\/(-2). Solve 0*w - p = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(3*l - l + 0*l)*(-3 + 1 + 0) + 0*l + 0*l + l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16117?\nAnswer: 71, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 8. Suppose -m = 3*a + 41, -4 = -5*m + 1. Let i = a + b. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088773 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, o: 1}. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -7*h**5\/30 + 17*h**3\/3 + 3*h**2 - h. Let w(c) be the first derivative of l(c). Let j(s) = -s. Calculate w(j(y)).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-30) + (-2 - 404\/(-120))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m + 5. Let l(b) = 6*b + 5. Let y(o) = 4*l(o) - 3*q(o). Let p(r) = r**2 + 4*r + 6. Let h(x) = 3*p(x) - 4*y(x). List the prime factors of h(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -3 (c) -3019\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1358, 4, -2\/7?\nAnswer: -1358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 5*l**2 - l + 2. Does 22 divide q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 3\/5, -2861\/2, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117572599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10259, 13281, 16301, 19319?\n\"Answer: -m**2 + 3025*m + 7235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(0 - 6 + 2)*(-1 + 2*a + 1 + (10 - 10 + 3*a)*(1 - 1 - 3)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 296?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(108)\/(-3*sqrt(96)))\/((sqrt(48)\/sqrt(2))\/sqrt(4)*2))**2 + 3).\nAnswer: -577\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496703196.\nAnswer: 2, 3, 11, 1254301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 16*k + 438. Let s be l(19). What is the greatest common factor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1268 - -1273. Solve -w = -3*u - 2*u, -5*f - 3*u - 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, 0.051, 2\/15, 0.13?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 72*w + 252.\nAnswer: -4*(w - 21)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2042, -4111, -6194, -8297, -10426, -12587?\nAnswer: -14786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 4*k + 69. Let b be h(7). Is (13042\/b)\/((-6)\/24 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1141, 1427, 1713?\n\"Answer: 286*s + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -192.7 and -41.\nAnswer: 7900.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4174750 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 6:17 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 29 - 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (6\/8)\/(2*-6 - (-141236)\/11792)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 22 = 4*u, -4*u - 15 = -4*z - 51. Which is the closest to -6? (a) -0.2 (b) u (c) -1\/43 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4886740 divided by -20.\nAnswer: -244337","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 5 - 13 + 4*b + 47*b**2 - 16. What is the hundreds digit of p(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 + -48. Let d = -76 - w. What are the prime factors of d?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 26 = -3*n. Let m be n*166\/3*(0 - 1). Suppose 69*k + m = 73*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 - 4*o**2 - o + 2. What is l(3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 1. Let i be y(1). Suppose -1311*c - 6 = -1317*c + 12. What is the greatest common divisor of c and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 18*d + 152, -215*g + 2*d - 43 = -210*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2503689 to the nearest 10000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 130045\/38 equal to 3422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alxeiiwe. Give prob of picking 1 i, 1 w, and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u - 8 = b, -3*u = -3*b - 21. Let z be (-3 + (-2)\/(-4))*b. Calculate the highest common divisor of z and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*n = -546*n - 8574 - 1362 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 3*h**5\/4 - h**4\/12 + h**2\/2 - 5*h. Let o be v(-1). Is (-6)\/o + 786\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 s when three letters picked without replacement from aeosoojowaaoe?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 4*o**2 - 4*o. Let j be v(-3). Let x be (-2 + 11)\/((-3)\/(-2)). Calculate the highest common divisor of x and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b + 19. Give j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u = 101*u - 54*u + 2*q - 6*q - 63, -u = -7*q - 113 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*q + 165*q + 195*q - 2 to the form p + d*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4159450 is divided by 6489.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/572804 and -83\/356?\nAnswer: 572804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*w**2 - 257*w**2 + 27*w**2 to the form v + h*w**2 + b*w and give h.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -37. Suppose -j = 3*j - 5*u - 20, -4*j + g = -4*u. Let 2\/5 - 14\/5*i**4 - 7\/5*i + j*i**3 - 6\/5*i**2 = 0. Calculate i.\nAnswer: -1\/2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 0*j + 5\/12*j**4 + 5\/36*j**6 + 0*j**2 + 8 + 0*j**3 - 1\/2*j**5. Factor n(c).\nAnswer: 5*c**3*(c - 2)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 27 = -r + 2*s, 8 = -4*s. Let t = 19 - r. Suppose t = 5*a + z + 3, 0 = 5*a - 0*a + 4*z + 12. What is the third biggest value in -9, -3, a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - l - 11 + 23, 0 = p + 3*l - 3. Solve -u + p*u = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112774 = 18*n - 43160. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2032210*c + 1214208 wrt c?\nAnswer: 2032210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410, 841, 1318, 1853, 2458, 3145, 3926?\nAnswer: 4813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 25611 = -25499 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -593*b**2 + 13*b + 35. Let d(p) = 594*p**2 - 10*p - 31. Let q(a) = -6*d(a) - 5*m(a). What is the second derivative of q(l) wrt l?\nAnswer: -1198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -3, -5, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 take away 1719?\nAnswer: -1717.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -52. Let w = g + -50. Find the first derivative of -9*q - 5 + w*q + 23 - 12*q wrt q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 13*z**6\/15 + 37*z**5\/20 + z**2 + 24. What is the third derivative of r(q) wrt q?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4203936ml in litres?\nAnswer: 0.0004203936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -656? (a) -5 (b) 5 (c) 2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 24*q**2 - 25*q - 36. Is n(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - (sqrt(110) - (sqrt(110) + (sqrt(110) - sqrt(110)*-1) - sqrt(110))*3 - sqrt(110))) + sqrt(110))\/sqrt(10).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sus when three letters picked without replacement from ruvvseurusrysrssrrsv.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(68) + sqrt(68)*-2) - (sqrt(68) + 1*sqrt(68))*-2)\/(sqrt(12)\/(sqrt(3) - (3*sqrt(3) + sqrt(3) + sqrt(3)))*-4))**2*2.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4 - 1051978*g**3 + 1606771*g**2 - g?\nAnswer: -48*g - 6311868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1 + (3 - 1 + 0)*(1 - 2 + 0) + 3 + 6 - 1)*(-205*i + 19*i**2 + 205*i).\nAnswer: 152*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15817 - -0.19883. Which is the third biggest value? (a) -4 (b) -0.4 (c) v (d) -1\/4 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 9*f**2 - 7*f + 14. Let y(c) = 55*c - 297. Calculate the lowest common multiple of l(-8) and y(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2286*n**2 + 453*n - 907. Is h(2) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a = -5*n - 85, -4*a + n = 53. What are the prime factors of 2*((-4725)\/a + -1)?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1125272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 37. Solve -1 = 4*q + 3*m - 6, 0 = -h*q + 2*m + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*u*u\/(u**(1\/46)\/u))))\/u*u**(9\/4) assuming u is positive.\nAnswer: u**(573\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3252199155 to 5 dps.\nAnswer: -0.32522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 931 divide 32621830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 - (31 + (-17 - 18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:30 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140410 + -32240?\nAnswer: -223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 24*g**3 + 6*g**2 + 13*g + 6. Let j be c(-3). Let a = -335 - j. List the prime factors of a.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, 2\/3, 1, 48022\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, e: 1, w: 1}. Give prob of sequence uwe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 159. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5 - 4)*(-6 + 3 - 1)*(2*c**2 - 4*c**2 - c**2)*(c + 0*c + 2*c).\nAnswer: 324*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2997 and 29304.\nAnswer: 263736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2232*v = 2136*v - 1248 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 588 and 2260625388?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33787, -33788, -33789, -33790, -33791?\nAnswer: -33792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 - 144. Suppose 12*s - s - m = 0. Find p such that 0*p - 2\/9*p**s + 0 + 2\/9*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -447 - 93. Let v be 15*(-4)\/(x\/3). Solve 3*s = v*s - 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211322 + -323232?\nAnswer: -111410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 + 6*w. Let n(y) be the third derivative of -5*y**4\/6 - 5*y**2 - 121. Determine n(a(i)).\nAnswer: -120*i**2 - 120*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -63 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) + (-130)\/30. Let t = s + 14. Let m(g) = -g**2 + 5*g - 2. Calculate the lowest common multiple of m(3) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -18. Is 3\/11 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -4\/142371 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146310 is divided by 36564.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.351.\nAnswer: 0.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1959789)\/(-240) + -3 + 1. Let p = -8164 + a. Calculate the common denominator of 91\/4 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2741*c + 734716 = -6111*c for c.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29748 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 2*n**2 + 2*n**2 - 1 + n**2 - 4*n**3. Let i be q(1). Let m = i - -3. Solve m*u = -2*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 15 = -3*h. Let x = h - -23. Factor -3*j**3 + 18*j - 6*j + j**2 - 9*j**2 - j**x.\nAnswer: -4*j*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**8\/n)**(3\/13)\/(n**(6\/17)*n*n*n*n**(-19\/4)*n*n*n))**35 assuming n is positive.\nAnswer: n**(7525\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/131 or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 27. Let s(v) be the first derivative of v**4\/4 - 7*v**3\/3 + 11*v**2\/2 - 5*v + 216. Let c be s(5). Calculate t(c).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/11)*i*i*(i\/((i**16\/i)\/i))\/i*((i*i*(i*i**18)\/i)\/i)\/i**15 assuming i is positive.\nAnswer: i**(-89\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 - -1.5. Suppose 0 = -48*d - 50 - 30 - 16. What is the nearest to 2\/3 in h, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 28 = 4*t. Let f(s) = 7*s**2 - s - 11. Let g(l) = 3*l**2 - l - 5. Let p(w) = -2*f(w) + 5*g(w). Is p(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 7 = 3*j - 16, -5*j - v = 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeec when four letters picked without replacement from {p: 3, c: 13, e: 4}.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1447 - 1451. What is the nearest to -0.1 in -1, m, 16, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 1:22 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11187\/133 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31048.\nAnswer: 2, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35, -217, -627, -1355, -2491, -4125, -6347?\n\"Answer: -15*v**3 - 24*v**2 - 5*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -511212.3791 rounded to the nearest 100?\nAnswer: -511200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 847 + -750. Let l be 1 + 1 - (79 - o). Calculate the greatest common divisor of l and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-2*7\/(28\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 1045 = j. What are the prime factors of j?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*-1)**2 - (sqrt(171) + 0).\nAnswer: -3*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**5\/7 + 144*c**4\/7 + 1356*c**3\/7 + 2264*c**2\/7 + 1056*c\/7 = 0. What is c?\nAnswer: -6, -1, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 2691.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100342 = -140*a + 114902 for a.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 18 = -3*x, 3*u + 12 = 354*x - 357*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241052328.\nAnswer: 2, 3, 11, 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4002, -8004, -12006, -16008, -20010?\n\"Answer: -4002*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s = 3*n - 19*s + 23, -27 = n + n + 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-12))\/((-2)\/15). Let f(b) = 2*b - 5. Let p be f(4). Suppose -n - 4 = p*d, -j*n + d + 10 = 6*d. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/27 + 247810\/(-36). Let v = -6906 - z. What is the common denominator of 9\/22 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 17030\/(-4)*(-2)\/5. Suppose -5*c = -5*k - 4235, 4*c + h = -k + 5111. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 616, 2569, 5826, 10387, 16252?\n\"Answer: 652*m**2 - 3*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -3*q + 11. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9644035 decades to millennia.\nAnswer: 0.009644035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 5*u**2 + u**2)*(3*u**2 - 3*u**2 + u**2) + 90*u**4 - 1622*u**4 - 960*u**4.\nAnswer: -2491*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5616 and 3024164.\nAnswer: 326609712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s)*(3*s + 5*s**4 - 3*s) + (2*s**2 - 5*s**2 + 2*s**2)*(3*s**3 - 2*s**3 - 2*s**3).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3059*s + 2920. Determine h(-1).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 247*i + 5. Calculate the remainder when m(1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -12032, -0.96?\nAnswer: -12032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrfrrrfrf. Give prob of picking 1 r and 1 f.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -1, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271 - 1484 + 569 - x + 321 + 323.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**12*y*y*y\/y**(1\/13)*y**(7\/2)\/y*y**(2\/17) assuming y is positive.\nAnswer: y**(7753\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -10. Let j(g) = 7*g + 229. Let f be j(-32). Suppose -m - 5 = -p - 35, n = -f*p. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13000 by 125.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 + 179. Suppose -8*w = -2*w + r. Let n be w\/(-14)*3\/9. What is the nearest to 1 in -4, n, 0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95612?\nAnswer: 2, 11, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-315))\/(6\/7).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2\/11*c**2 - 570312\/11 - 2136\/11*c = 0?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 6:13 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9412 = 15*m - 3083. Suppose 3*i - m = -176. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -12*r**3 - 436*r**2 - 3444*r - 1100 = 0.\nAnswer: -25, -11, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 648076260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.16 + 0.177. Let s = 0.017049 - f. Round s to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Let p be -3*(-2)\/18*1. Which is the second smallest value? (a) f (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/(-12)*52\/((-182)\/(-7))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 4.2697296198.\nAnswer: 0.2697296198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -675.2 - -601.63. Let g = t + 80.5676. Let q = g + -7. What is q rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((8\/186)\/2)*(-620)\/(-465)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 + 2*t + 13. Give f(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -3*y + 5*y + 18, 5*d = -2*y + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19435 + 19435.039. Which is the closest to -1? (a) z (b) -3 (c) -3\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -10 - 8. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 2*h - 1. Let s = -76 - -72. Calculate the remainder when 66 is divided by f(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 7*b**2 + 656 - 1378 + 700.\nAnswer: 7*b**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -481 + 583. Put h, 5, -5, 2 in decreasing order.\nAnswer: h, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -2*sqrt(119))\/sqrt(7) + (sqrt(51) + sqrt(816))\/sqrt(3) + 3*(sqrt(119)*2)\/sqrt(7) + (2*sqrt(204))\/(sqrt(33)\/sqrt(275)).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/5171724?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48355694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-30))\/(384\/160))\/((115\/9)\/(-5))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 2*k + 21, -4*t + k = -8*t - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -4 (c) 145 (d) -1\/4 (e) -94\/65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 1. Let y(f) = -6*f**2 - 4*f + 2. What is -2*q(p) - y(p)?\nAnswer: 8*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*z - 2*z - 576. Let k be (1 + 3\/(-12))\/((-40)\/z). Factor -12\/5*t**2 + 0 + k*t**3 + 0*t.\nAnswer: 3*t**2*(t - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**3*r - 123*m**3 + 261*m*r + 22954518*r wrt m?\nAnswer: 9*m**2*r - 369*m**2 + 261*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7881, 15988, 24087, 32178, 40261?\nAnswer: 48336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3618 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280263 and 705.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5)\/(z\/(z*z**(2\/5))))**39 assuming z is positive.\nAnswer: z**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69540*b**3*c - b**3 + 2*b**2*c - 2*b**2 - 1002*b*c + 2*b wrt b.\nAnswer: 417240*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 24, 46, 84, 144, 232, 354, 516?\n\"Answer: j**3 - j**2 + 8*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 61.2. Suppose -117 + 135 = 6*v. Which is the closest to h? (a) -0.1 (b) -1.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10933907?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -20*y**3 - 5*y**2 - 18*y - 5. What is the units digit of a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/1659? (a) -3 (b) 9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 171\/8 less than -1592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 12, g: 1}. What is prob of sequence wgw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135835 is divided by 6728?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2. Let c(s) = -233*s - 2. Give c(n(b)).\nAnswer: -1165*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 14771?\nAnswer: 14765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcccccvcvc. What is prob of picking 2 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20012 + 110123?\nAnswer: 130201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.29 (b) 76 (c) -2 (d) -3 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/11456 and 139\/6.\nAnswer: 34368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1573753 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 292849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19*o**3 - 3*o - 3. Let x(b) = -3938*b**3 - 93 + 95 + 3920*b**3 + 2*b. Determine -2*u(t) - 3*x(t).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 410009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 divided by 2346?\nAnswer: -361\/2346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + -3 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (316 + -319)*(-2)\/27. Let s = 0.53 + -0.03. Which is the closest to i? (a) s (b) 4 (c) 9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = k - 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a008246 + -4?\nAnswer: 6a008242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3333117121.\nAnswer: 17, 367, 487, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1688 and 1690321?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/12 - (-2)\/3. Let f be (-1)\/3*(-12)\/8. Let h = -8808\/7 + 1258. Which is the nearest to h? (a) -2 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5 + (1 + 91)*3335\/116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 1403083800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*z - 95*z + 236957. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 2*z**2 - 3*z**2 + (-z + 0*z - z)*(-35*z + 435*z - 54*z).\nAnswer: -694*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 - (-5 + 0 + -6 + (0 + -8 - -10)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 30*u + 13. What is i(15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 q when three letters picked without replacement from {w: 5, l: 2, q: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, and 1 o when three letters picked without replacement from cpppllpxpcpcccppoxpp.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/512*13616\/111\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*l - 3)*(-6 + 2 + 3) + 0*l + 2*l - 4*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 9*c - 7*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:33 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 k when four letters picked without replacement from ssgksmmsssssg?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1788 is divided by 138.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 6:35 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6042*m**3 + 1175*m**2 - 4*m + 4. Let w(q) = 18127*q**3 + 3525*q**2 - 14*q + 14. Let n(r) = 7*d(r) - 2*w(r). Find the third derivative of n(a) wrt a.\nAnswer: 36240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12180 - -12181. Let g(p) = p**2 - 4*p + 5. Let z be g(4). Suppose -z*q - 2*y + 180 = -3*y, -2*q = 4*y - 94. Is c less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322378 is divided by 862?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 + 6433*g**4 - 213*g**3 - 16382*g**2 + 2*g + 456?\nAnswer: -60*g**2 + 154392*g - 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 1817 = -9*m - 2087, 3 = -m - 35*x - 133 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6401893 to the power of 1\/2, to the nearest integer?\nAnswer: 2530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 319 = 5*o - 54, 1023*o - 1019*o + 207 = -h for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c43b250 + -5?\nAnswer: 2c43b248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**6\/u*u)\/u)\/u**22 assuming u is positive.\nAnswer: u**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1458463438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -11*n + 52. Let z be i(-3). Solve 15*v - z = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -26. Let f be (k\/12)\/(1\/2). Solve 4*a - q + f*q - 16 = 0, 13 = 5*a - 2*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 3*y + 2*y. Let l(o) = -o. Let v(c) = -24*c. Let x(a) = -8*l(a) - v(a). Let h(s) = 8*s. Let g(u) = 22*h(u) - 6*x(u). Give k(g(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1454252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38246663*a**2 - 8931671*a.\nAnswer: 76493326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 189854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m*m**(1\/2))\/m)**(-2\/7)\/(m\/m**1*m**(-2\/5)))**(-4\/3))**(13\/4) assuming m is positive.\nAnswer: m**(13\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3355074260 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/331 and 9\/11.\nAnswer: 3641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1044 (b) 0.35 (c) 2\/123 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34533.\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 39*g**2 + 0*g + 144 - 144 + g. What are the prime factors of m(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1342*g - 16092. Let k be q(12). Let i = 1 + -1. Solve i - k = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -m + 154, 2*m + 5*u + 623 = 925. Solve 16*r + m = 264 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2)*2)**2 + -3 + (-1*sqrt(2) + -1)*6.\nAnswer: -6*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -658 - 223?\nAnswer: -881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let x(w) be the second derivative of -w**5\/4 - 25*w**2\/2 - 15*w. Let n(o) be the first derivative of x(o). Calculate m(n(a)).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20002 + 222021010?\nAnswer: 222001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1345489 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 31*o + 132. Let s be d(-26). Which is the nearest to s? (a) 5 (b) -0.7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.2*2.\nAnswer: 40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -480? (a) -9 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 353 - 252. Suppose 2*g - 93 = 3*h + 113, -g + u = -h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6493, -12984, -19475, -25966, -32457, -38948?\n\"Answer: -6491*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 4*q + 3. Let o be g(-4). Solve o*h - 2*h + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k*k*k\/k**8*k)\/k))**0\/(k**(-17))**50 assuming k is positive.\nAnswer: k**850","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-19) - (-68643)\/(-4959).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118 + 8*h**2 + 13*h**2 + 245*h - 16*h**2 - 216 + 84.\nAnswer: 5*(h - 1)*(h + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 316879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from pppgjpgjhgpgpppgppjj?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**4 - 6*j**3 - 60*j**2 - 8*j + 5. Let p(f) = -2*f**3 - f + 1. Let n(v) = -l(v) + 5*p(v). Find the third derivative of n(u) wrt u.\nAnswer: -48*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 22. Let y = -9.7 - z. Let f be (3\/(-5))\/(189\/(-70)). What is the closest to f in 2, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 612834171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 16509 = 3*g - 13*h, -5*h = -4*g + 22001. Is g a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8348 + -2218. Round b to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 16 - -7 - (-6 + -62 - (-1 - -5))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-4 - (-24)\/4). Let d be i - 2\/(8\/(-116)). Suppose 3*t + 0*t - d = 0. Is 10 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 9*v**2 - 8*v - 12. Let k be y(-9). Let w = 301\/5 - k. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 2:02 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*d + 29, d - 2*d = -5*g - 19. Let m(z) = -z**3 - 4*z**2 + 6*z. Suppose 32 = -2*r + 22. Let o be m(r). Sort d, o, 2.\nAnswer: o, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t + 47*t + 556*t + 2*t.\nAnswer: 562*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8423\/84819?\nAnswer: 8423\/84819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/(6\/(-639)). Suppose -5*j - 600 = -j. Let v = n - j. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p**2 - 2*p - 3. Let m(t) = t**3 + 2*t**2 - 3*t - 2. Let w be m(-3). What are the prime factors of b(w)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3751240.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-30)*2*5. Suppose 4*a - 72 = y. Find the common denominator of ((-34)\/a)\/((-28)\/(-70)) and -39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 33. Calculate the greatest common divisor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28546.68 millilitres?\nAnswer: 28.54668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 641 + -1213\/2. Let l = 1439\/3 - 11575\/24. Calculate the common denominator of w and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 18766*i + 18785. Determine p(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157884?\nAnswer: 2, 3, 59, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, a: 3, q: 2, j: 4, l: 3}. What is prob of picking 1 a, 1 i, and 2 q?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 82*j**3 + 655*j**2 + 11*j + 219. What is c(-8)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21\/2? (a) 6 (b) -0.3945 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*u - 23 = 0, 5*u + 2 = 4*f - 0*u. Suppose x = -4*x + 20. Let g = 65.7 + -65.7. What is the nearest to g in f, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {s: 1, e: 1, m: 1, g: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -0.126 (c) 2\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 6*v + 12*v as s + p*v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9928, -19801, -29626, -39409, -49156, -58873, -68566?\nAnswer: -78241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30128, -60273, -90436, -120617, -150816, -181033, -211268?\n\"Answer: -9*s**2 - 30118*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -212.063 and 0.4.\nAnswer: -84.8252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -0*s - s - 2, 0 = -5*n + 5*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) -38.1 (b) 0.99 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 60456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 2, o: 1, k: 2, y: 2, v: 1}. Give prob of picking 1 w and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0.3 (c) -6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y + 10. Calculate z(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 5*b - 10 = 56*w, -17 = -5*w + 4*b. Let f be (-30)\/(-4)*(-4)\/(-6). Suppose -4*h - 10 = 5*k + h, f*k = h + 2. Sort w, 4, k.\nAnswer: k, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose 0 = -l + 4*c + 10, y*c = -6*l + l + 6. Let u(o) = o**3 + 7*o**2 + 5. Let k be u(-7). Solve l*d = -5*j, k*d - 4*j - 33 = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**8\/560 + q**7\/175 - q**6\/200 - q**5\/50 + 5*q**2 + 9*q. Let v(n) be the first derivative of t(n). What is z in v(z) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:14 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (108\/8)\/(-9)*(-10)\/6\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 32. What is the closest to 0 in -0.2, q, 2, -0.41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29\/(-145) + 8763\/15 + 4 + 5. Solve 0 = 11*v + h - 516 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 504?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19641.8211 + 0.548.\nAnswer: 19642.3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2*(-1)\/2). Let x = 31 + -19. Let q = x + -12. What is the second biggest value in q, -5, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 65510353?\nAnswer: -5\/65510353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((5 - -3) + 6\/(-2))\/1. What is the biggest value in -4, 43, i?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k - 1. Let b be t(3). Suppose 5*a = 2 + 8. Let j = b - a. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) 2.41 (d) 1\/14 (e) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45181417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 296382873 a multiple of 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 3 + 3 - d**2. Let k(x) = 9*x**2 - 17. What is -17*j(i) - 6*k(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41862 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 112 = 34*o - 57*o. Let m(u) be the first derivative of 38\/5*u**5 + 0*u**3 + 2*u**2 + o + 0*u + 0*u**4. Find the second derivative of m(x) wrt x.\nAnswer: 456*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 9. Let q = 10 + n. Suppose 229 = q*c - 2*h - 2*h, -4*h + 16 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 297*t + 1995. Determine p(-8).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 1. Let s be u(1). Let y be 10\/4*48\/60. Suppose -m = s*g - 4*g + 9, 4*g = y*m + 44. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + 7*x**2 + 8*x. Suppose -28 = 7*a - 11*a + s, -2*s = -4*a + 32. Let i(w) = -2*w**3 + 6*w**2 + 7*w. Determine a*b(q) - 7*i(q).\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68002, 4, 12, 1.\nAnswer: -68002, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.4037 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = o - 9, 4*o - 56 = -5*s. Suppose -5*g + 4*g + 7 = x, -s = -g - 2*x. Solve -3 + 1 = -g*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19855, -78779, -176987, -314485, -491279?\nAnswer: -707375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.67 (b) 0.01 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6677*v**3 + 3216*v**2.\nAnswer: -40062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2804 and 104584994.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 176 = 4*b - 37*a, 3*b = -2*a + 69 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -683.41\nAnswer: 683.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3))**22*l**(3\/7)\/l**11)**(6\/13) assuming l is positive.\nAnswer: l**(-752\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1573) + sqrt(1573) + sqrt(1573) + -2 + sqrt(1573))**2 - (4 + (-2*sqrt(1573))**2).\nAnswer: -616*sqrt(13) + 18921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195917 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*j + 1 + 2 + 7 + 9 - 5 in the form s*j + k and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - -134.5. Let t = g - 35. Let y = -7.4749 + t. What is y rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/336 and (-265)\/112*370\/(-925) - (-4)\/14.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 4, -0.83, -1\/7, -275, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 37*n**2 - 73506*n + 220179. What is f(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/4 - 321507*a**2\/4 + 2147715540*a + 308769139536.\nAnswer: 3*(a - 53656)**2*(a + 143)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.027 + -65.973. Let y = v - -66. What is the closest to -2\/5 in 5, y, 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 + -33 + 46 + -4 + (-6 - -6) + 6.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28613.\nAnswer: 13, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*g + 35*g - 978 = -68*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296 - -587. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 152?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**2 - 8*n + 10. Let o be s(2). Suppose 7308 = 31*z - o*z. What is z rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3697*w + 3697*w + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -49.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 251621883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 54*c = 123 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0748761 times 15\nAnswer: -1.1231415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 + 0*b**4 - 5*b**4 + (-1 + 1 - 6*b)*(9*b**3 - 12*b**3 + 4*b**3).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(605) + sqrt(5) + sqrt(5) + 1*(sqrt(5) + 1) + 1.\nAnswer: 1 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 7. Let z be (-4)\/10 - (-1 - (-5013771)\/35). Let a be (-6)\/27*h\/(-1)*z. What is a rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35323285 divided by -17273\nAnswer: -2045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 347638 a multiple of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-624) - 24\/(-312). Let m be -2 + (2 - (-2)\/1). Sort -5, a, m, 0 in decreasing order.\nAnswer: m, a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.44 (b) 0.93 (c) -2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6137 * 5.\nAnswer: 30685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 451 - 0.322.\nAnswer: 450.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 211 = 2*b - 181, 0 = -5*b - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42835465*u**4 + 4083073*u wrt u?\nAnswer: 514025580*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -15*k - 113. Let o(x) = -3*x - 20. What is 11*o(j) - 2*t(j)?\nAnswer: -3*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3385170, 3385211, 3385252, 3385293?\nAnswer: 3385334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8229 + 8229. Let r(q) be the third derivative of 2\/21*q**4 + b*q + 15*q**2 + 1\/420*q**6 + 4\/21*q**3 + 0 + 1\/42*q**5. Let r(a) = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*2 - (-1035)\/(-207).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18327.67 to the nearest one hundred.\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-48)\/(-22)) - -1. Let v = -1\/3 - o. Factor v*s**2 - 1\/2 + 0*s.\nAnswer: (s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 194, 203, 212, 221, 230, 239?\n\"Answer: 9*n + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22*b**2 + 13*b - 378. Let r be z(-21). What is r rounded to the nearest one hundred?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 38492087.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i**4\/9 + 40708*i**3 - 3038072*i**2\/9 - 721552*i + 2094880\/9 = 0.\nAnswer: -13093, -2, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**6\/10 + 153*r**5\/10 + 8*r**3\/3 - 44*r**2 - 2*r - 1314. What is the second derivative of w(a) wrt a?\nAnswer: -36*a**2 + 1836*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -21 (b) -11\/134 (c) -0.4 (d) -5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -297 - -319. Calculate the highest common factor of z and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 6. Suppose -90 = 6*u - u. Let q = u + 10. Is c(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2417 is divided by 225?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/10)\/(2\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81615408 to the power of 1\/2, to the nearest integer?\nAnswer: 9034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 2. Let b be x(-4). Let a = -2 + b. What is the third derivative of -t**a + 3*t**2 + 0*t**4 - t**2 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*w = 345*w + 1112 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.1 and 371.\nAnswer: 373.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 245323404 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 + 325. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -974*g + 104653 + 14175 = 0 for g.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*v - 236*v - 138*v + 7 - 256*v as x*v + q and give x.\nAnswer: -861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1758666.9*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - 4*u + 4*u + (-14 + 32 + 13)*(-3 + 3 + u) to o*u + x and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -1 (c) -5 (d) -1\/10 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455 and 65.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 534, 804, 1074?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 12*r - 40. Suppose 1988 = 4*a + 3*k, 1996 = r*a + 4*k + k. List the prime factors of a.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2490478685219?\nAnswer: -2490478685218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15038.000015187 + 15038. Round a to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10548 and -61\/1495194.\nAnswer: 2628551052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2\/6 - 6849995*h\/6 - 1141665.\nAnswer: -5*(h + 1)*(h + 1369998)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15623*r**3 + 25853*r**2.\nAnswer: 93738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 136, 4\/7, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135315 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -107?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/(-10) + -12)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7750.13m to centimeters.\nAnswer: 775013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**6\/420 + x**5\/105 + x**4\/84 + 4*x**2. Find l such that z(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**3*j**2*x**2 + 25*h**3*j**2 - 17*h**2*j**2 + 6*j**2 - 3*j*x**2 wrt h.\nAnswer: -48*j**2*x**2 + 150*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -1 + -4 + -4. Let o be t - -3 - (0 - 22). What is the units digit of (o\/1 - 2) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) + 3)*6 - sqrt(272)) + sqrt(272))**2.\nAnswer: 864*sqrt(17) + 10116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992745666.\nAnswer: 2, 3, 11, 1671289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37219 rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1206 and 28676.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.114, -0.4, 0.1, 3, -2\/13 in decreasing order.\nAnswer: 3, 1, 0.114, 0.1, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r = 13*r - 585 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1267992 bigger than -1267465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vavbbvl. What is prob of sequence aaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1061 + -2.1061. Put -1.2, 0.02, t in ascending order.\nAnswer: t, -1.2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 10:06 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-48))\/(1\/6). Let x = -30\/13 + 32\/13. Sort x, k, -0.5 in increasing order.\nAnswer: -0.5, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 179433856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-12)*-3*(-28)\/(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70695?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 6) in base 13?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.438 and 1601.\nAnswer: -701.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.5816 + 0.2216. Let q = 0.64 - o. Let i = 50.4 - q. What is i rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 529 and 4797.\nAnswer: 2537613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59012, 59041, 59064, 59081, 59092, 59097, 59096?\nAnswer: 59089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5966*v**3 + 27564.\nAnswer: 17898*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:33 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d. Let o(m) = m**2 - 118*m. Determine o(s(i)).\nAnswer: 121*i**2 + 1298*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a (base 13) in base 15?\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-120)\/36*(-69)\/5. Let g = n - 120. Solve 0 = -6*u + g - 48 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.076 times 1674\nAnswer: -127.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by -163501?\nAnswer: 216\/163501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-4))\/(n**(-1\/10)*n*n))\/(n**(5\/2))**(-11\/7))**(-14) assuming n is positive.\nAnswer: n**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 2*t + 1. Let v be k(2). Let s = -47 - -51. Let l = s - 4. Solve -n + d + v = l, 5*n + d = n + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3 - 3 - 7 - 5*l. Let n(w) = -w - 1. Let a(i) = 4*n(i) - v(i). Suppose 1 = 4*p + u - 11, 4*u - 9 = -3*p. Let r(q) = 4*q + 14. Give p*r(x) - 14*a(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75\/332 + 2\/83. Let d = 4.2 + -4.3. What is the nearest to p in 4, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31103103 + 2330?\nAnswer: -31100113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 + -0.3. Let b = -211 - -204. Let j = b - g. Put j, 0.5, 0.3 in descending order.\nAnswer: 0.5, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 3*s**2 - s**2 + 5*s**2 - 2*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*c - 574 = 902 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/84545 and 42\/11.\nAnswer: 929995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 24. Let n be v(4). Let z be -4*(4 + (-236)\/n). Let i = 182 - z. What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2685046451 - 0.3?\nAnswer: -0.5685046451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 497.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 115?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730*y + 1010*y + 2440*y - 206*y**2 + 207*y**2.\nAnswer: y**2 + 1720*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 14. Let s(f) be the second derivative of -1\/2*f**2 + 1\/6*f**3 - 2*f + 0. Calculate s(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.5965946884 + 0.5\nAnswer: -34.0965946884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 13\/6*h**3 + 0 - 1\/4*h**5 - 37*h + 0*h**4 + 0*h**2. What is the second derivative of k(l) wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*l - 130*l - 38 = -x, -3*l - 4*x - 3 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*v = -4, 5*v - 2 = -30*i + 26*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002221 + -2000?\nAnswer: -2011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/558 and -14\/45.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*(1 - -2). Suppose -758 = 2*g + 224. Let h = g + 496. Sort 0, h, b in descending order.\nAnswer: h, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 36 = 0. Let u be (2\/6)\/(2\/c). Suppose 0 = b - u*h + 4, -b = 5*h - 1 - 11. Let n(j) = -2*j**3 + 3*j**2 - j. What is n(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -778\/13 + 60. Let p = 631\/10 - 63. Put p, 2, i in decreasing order.\nAnswer: 2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.0469.\nAnswer: -0.01876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 + 11*g**2 + 12*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1980.04598 to 1 dp.\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*f - 29*f - 336. Let n be (9\/4)\/((-21)\/f). Let h(k) = -k**3 + 2*k**2 - 2*k + 4. Let v be h(3). Is v at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcpyuut. What is prob of sequence uc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -409 - -412. Suppose s + y*s = -p + 306, 2*p - 599 = 5*s. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -3316\/421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = 3*v + y, -4*v - 10 = y. Which is greater: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 589658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*z**5 + 2663*z**4 + 31*z**3 - 2*z**2 - 566*z + 13 wrt z?\nAnswer: -960*z**2 + 63912*z + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 427.\nAnswer: -1281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n**4 - 14290*n**3 - 221644*n**2 - 62160*n = 0. What is n?\nAnswer: -15, -2\/7, 0, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - j + j**2 + 1111688*j**3 + j**2.\nAnswer: 1111688*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4 - 31253*j**2*p - j*p + 2*j + 2172*p wrt j?\nAnswer: 36*j**2 - 62506*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 (base 7) in base 14?\nAnswer: 21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 2*l - 3*l - 2*l - 9*l - 6*l + (-4 + 5 + 1)*(7*l - l - 4*l) - l + 0*l + 3*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 6*o - 353 - 244. Calculate the lowest common multiple of o and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 2268085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7582.\nAnswer: 2, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 4*y - 10. Calculate the least common multiple of 10 and i(-7).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 94. Let r = -13 + 22. What is the remainder when f is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 220*p**2 - 995*p - 780.\nAnswer: -5*(p + 1)*(p + 4)*(p + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20\/((z\/(z**(-1\/25)\/z*z))\/z) assuming z is positive.\nAnswer: z**(499\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) - (4*sqrt(448) + -5)) + -4)**2 + 2)*4.\nAnswer: -192*sqrt(7) + 16140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6034*-1382\nAnswer: -8338988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -164 times 254300\nAnswer: -41705200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3353 + -5?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**2*v**2*x + 2*k**2*v + 66621*k*v*x - 3659*v**2 + 3*x - 25 wrt k?\nAnswer: 4*k*v**2*x + 4*k*v + 66621*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/(-6))\/(-80) - (-606)\/(-60) - -12. Factor -5\/2*z + 5\/4*z**a - 60.\nAnswer: 5*(z - 8)*(z + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.757394 and 0.02?\nAnswer: -0.23514788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -10. Let w = a + 3.6. Let c = w - -1. What is the closest to -2\/5 in -5, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j - 6. Let b be (-96)\/10 - (-8)\/(-20). Let w be (5\/b)\/(j\/(-20)). Solve 2*m - 2*k = 4, -w*m - k - 4 - 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25312 - 25308. Solve -f + 3*t - 3 = 2*f, -5*t + n = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 13) to base 6\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7409.31 plus 0.3?\nAnswer: 7409.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m = -20*m - 160 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 3586331983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/17, 826981, 3\/5 in decreasing order.\nAnswer: 826981, 3\/5, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15796248.\nAnswer: 2, 3, 13, 197, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 120\/46547 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 9. Suppose 14*o + 1183 = 4221. Let v be 46\/(-552) + o\/12. Calculate the greatest common factor of b and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) -4 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 180*((-888)\/(-1776))\/(-2*(-2)\/(-2))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03232, -1.93, -10\/13?\nAnswer: -0.03232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*5 - (-1 + (sqrt(11) - sqrt(11)*1 - sqrt(11))))**2.\nAnswer: 32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, -141, -2317?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 57. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.9 and -0.09.\nAnswer: 0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 15596 = 4*t, -2*t - 3*r + 4594 = -3209. List the prime factors of t.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = -x, 16 = -4*p - 4. Solve -4*r = k + x, -3*r - k + 0*k - 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5275 and 7875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ee9522 + 1?\nAnswer: ee9523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 166, -151, 3 in decreasing order.\nAnswer: 166, 3, -34, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let a(m) = -3321654*m. What is k(a(v))?\nAnswer: -22066770591432*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 181*m + 72*m)*(0 - 1 + 4)*(-408*m**2 + 408*m**2 + 5*m**3).\nAnswer: 3855*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49424.8 or 1\/84?\nAnswer: 49424.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235 - 236 - (1 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from {x: 2, l: 4, u: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x - 7*x - 13*x - 17 - 1 + x**2. Calculate the remainder when u(12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/319 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**3\/3 + 8*z. Let k(u) = -2*u**2. What is k(g(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**4 - 318574*v**3 - 33576*v**2 - 7 wrt v?\nAnswer: 96*v - 1911444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 984\/(-80) + (-3)\/(-1) and -18\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 smaller than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/66) - 1. Let v = t + -14. Let i(d) = -d**3 + 7*d**2 + d - 1. Let f be i(v). Solve f*u - 3*u = -j - 4, -3*j = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 567\/945*5*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0366 - -0.1034. What is the fourth smallest value in -0.2, 3, p, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9562395217 and -9653.\nAnswer: -9562404870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 628 + -103. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -14\/10547 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23597)\/14*(-1 - 1). Let i = -37033\/11 + d. Factor -32\/11*b**3 - 18\/11*b - 2\/11 - i*b**2.\nAnswer: -2*(b + 1)*(4*b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 766 = -h, -3*h + 7 = 1. Suppose k - 51 = 4*u. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b - 4*q + 40, 3*q = -5*b + 40. Solve b*c - 9 - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3362*j + 3492*j - 780 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3225 and 1950?\nAnswer: 83850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 1620*x**2 + 37152*x.\nAnswer: 3*x*(x + 24)*(x + 516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 850.134 + -851. What is h rounded to two decimal places?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 54 - 54)*(3*t - 4*t + 3*t) + (3*t**2 + 2*t**2 + 3*t**2)*(0 + 1 - 2).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*(sqrt(136) - -1*sqrt(136)*-2))\/(4*(6*(sqrt(648) - sqrt(648)*-3) + sqrt(648)))*-3)**2.\nAnswer: 153\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*y**2 + 839625910*y - 239893120 = 0. Calculate y.\nAnswer: -23989312, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104582854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671951851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-2 - 4 - (-14 - -1)) + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2. Let w(h) be the third derivative of -h**6\/72 + 7*h**4\/24 - 3*h**2. Let y(x) be the second derivative of w(x). Determine y(p(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**6\/960 - 7*g**5\/320 - 11*g**4\/16 + 35*g**3 + 33*g - 3. Let h(a) be the second derivative of p(a). Solve h(y) = 0.\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4\/(-10) - 2499\/(-85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 852 and 1491.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10461 + 10460.6. Suppose 2*p - z = -6, 7*p - 4*z = 3*p - 12. What is the closest to -0.2 in v, 3, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1760122 by -3563.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 22 = -5*w, -4*z = -2*z - 2. Let g = 0.096 - 0.146. Put g, 1\/2, w in decreasing order.\nAnswer: w, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*u + 11, u = -3*b + 3 + 14. Calculate the smallest common multiple of 2 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028032479 rounded to five decimal places?\nAnswer: 0.02803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0*x - 4*x**2 - 1\/60*x**5 + 5\/8*x**4 + 0 - 5\/6*x**3. Let u be p(14). Calculate the greatest common factor of u and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2818, 6034, 9264, 12514, 15790, 19098?\nAnswer: 22444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:22 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 578, -0.01, 0.3208?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 137*y**2 + 530*y - 263. Let z be n(-133). Factor 6\/7 - 9\/7*l**2 + 3\/7*l**4 + 3\/7*l - 3\/7*l**z.\nAnswer: 3*(l - 2)*(l - 1)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**3 + 4*w**2 + 7*w - 15. Let n(l) = -l**2 + 9*l + 40. Let x be n(12). What are the prime factors of p(x)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 41. Let u = 42 + h. Let q = u - 18. What is the biggest value in -3, q, 1, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 59\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -220230313002 (base 4) in base 2?\nAnswer: -101000101100110111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*u + 15 + 251, -4*u = -16. What is the remainder when 1114 is divided by p?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1316952 divided by 504\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 c, and 1 i when four letters picked without replacement from ajljaijljaaacaalacdl.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/2)\/(150 + -151).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((70\/(-8))\/5)\/(345\/1035))\/(3\/(-68)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {p: 2, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.2 (c) 744\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 + 32. Find the common denominator of (-188)\/160 + (-9)\/45 and (w\/(-35))\/(24\/35).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 46 = 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -364, -359, -372, -403?\n\"Answer: -9*u**2 + 32*u - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4922 >= -4875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 0*y**5 + 0*y**5 + (-1 + 2 + 1)*(y + 3*y - 8*y)*(4*y**4 + y**4 - 3*y**4).\nAnswer: -17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61329243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11690575?\nAnswer: 5, 13, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -64. Suppose -5*i + 5*l - 173 = -648, 5*i - 4*l - 475 = u. Is i a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.3959 - 8.4. What is m rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62272 (base 8) in base 7?\nAnswer: -135115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -37718, -4, -77?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:38 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-1 - -2)) + (-165 - -156).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 2*m + 43297 + 80*m - 43296 - m**2 to k + a*m + y*m**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9 = -1. Suppose 0 = -z - 34 + 39. Suppose -z*n + u*n = 0. Let w(f) = -f**3 + f**2 + 6. What is w(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1573237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -81, -113, -145, -177, -209?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i. Let r be j(0). Suppose r = 7*x - 14*x + 2975. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 5*k - 15. Let b be a(8). Solve 3*p = b, 6 = -4*z - 3*p - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -530, 142, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 at least 4\/295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -207057405 + -3?\nAnswer: -207057408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64494 + 64574. What is r in -s*r - 2\/3*r**3 - 46\/3*r**2 + 96 = 0?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.8*0.8\nAnswer: 30.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3014 - 2984. Calculate the highest common factor of 1830 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -364 - -389. Suppose -500 = -l*g + 50. Solve 3*a + g = 25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -2 (c) -0.6 (d) 10 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -185. Let s be (c\/(-8))\/(-3)*-2. Suppose 2*g = s*g - 225. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvmvvvvvmvvmv. Give prob of sequence vmv.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1244.77973 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*y + 70 = -1234*y + 618*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139839 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/5, -153, -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 2*b, 0 = 4*n - 7*n + b + 8. Factor -6*o + 2 + 4*o**3 - 9*o**2 + 22*o**n + 2*o**5 - 9*o**2 - 6*o**4.\nAnswer: 2*(o - 1)**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42395 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -50. What is the first derivative of -10*k - 16*k + k + 15 + m wrt k?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 3. Let u be w(4). Let m be (-3)\/(-6) - u\/6. What is the second derivative of -2*y + 2*y**2 - m*y - 3*y + 6*y wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 8. Let j be n(0). Suppose 3*h - 17 = -0*h - 5*i, i = -2*h + 2. Let w = j + h. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j**2 - j - j)*(2*j + j + 0*j).\nAnswer: -3*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 = -5*c, -12*f - c = -8*f + 19. Sort 2, -6, f in decreasing order.\nAnswer: 2, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 383 = -5*g, 5*g - 3*o = g + 301. Let k be (-1)\/(-4) - g\/(-16). Suppose n + 8 = 4*w, -k*w + 4 = -3*w + 2*n. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 2. Let m(j) = -2042*j - 2042. Let l(i) = -m(i) + 1021*x(i). Let o(u) = 3*u**2. Calculate l(o(n)).\nAnswer: 3063*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/20 + s**4\/3 - s**3\/2 + s**2\/2 - 3*s. Let w be a(3). What is the units digit of (-2)\/(((-3)\/21)\/w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 150 = 134 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**3\/3 + 3. Let q(l) = -l**2 - 18*l. Calculate q(o(c)).\nAnswer: -c**4 + 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13182578299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32011 + -12203230?\nAnswer: -12111213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -331*t**3 - t**2 + 28*t + 15. Is c(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 4. Let i be k(-2). What is the third derivative of c**i - 7*c**3 - 2*c**3 - 2*c**2 + 14*c**3 wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125059 to the nearest one thousand.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240151789*o**3 - 3836*o**2 - 19567 wrt o.\nAnswer: -1440910734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dvdvvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - -0.03. Which is the third smallest value? (a) 2\/5 (b) -6\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 + g + 6. Suppose -8 = -4*x + m - 27, 0 = -3*x + 5*m - 10. Let j(p) = 2*p**3 + 5*p**2 - p - 5. Give x*y(q) - 6*j(q).\nAnswer: -7*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 142, 1077, 3584, 8449, 16458, 28397, 45052?\n\"Answer: 131*c**3 + 18*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 0.7. Let t = 15 - 17. Let b = -10 - -15. What is the closest to -0.1 in j, t, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:16 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 4)*(2*n + n + 0*n)*((0 + 0 - 1)*(-4*n + n + 5*n) + n + n + n).\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 + 169. Let s(a) = a**3 - 5*a**2 - 3*a + 27. Let u be s(p). Solve 2 + u = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -211862 - -1?\nAnswer: -211861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-208)*4\/6\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 807, 1813, 3227, 5049?\nAnswer: 7279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*j = 34, 5*g + j - 20 = -0*j. Factor 0 + 2\/9*x**2 + 2\/9*x - 2\/9*x**g - 2\/9*x**4.\nAnswer: -2*x*(x - 1)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = l + 11. Let i = -169 - -248. Suppose -l = -3*p + 3*z, p + 4*z = 6*p - i. 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: -612.4 * 437\nAnswer: -267618.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 26*k. Let g be q(1). Let h = g - 14. Suppose 17*x - 24 = -3*z + 20*x, 4*z - 14 = -5*x. What is the least common multiple of h and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwjq when four letters picked without replacement from qjjjjjwqjj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30333110 (base 4) to base 13.\nAnswer: 1b2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170340749 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3448\/7 - 492. What is the smallest value in 1, 8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1065, -1116, -1237, -1458, -1809, -2320, -3021?\n\"Answer: -5*v**3 - 5*v**2 - v - 1054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 14 + 58 = 0. Let k be (40\/(-25) - -2)\/((-1)\/(-5)). Suppose 112*d - k = 110*d. What is the highest common divisor of v and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9055516 by -4.\nAnswer: -2263879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 - -527\/5. Which is the biggest value? (a) j (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207868 and 4082.\nAnswer: 2702284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -31 (b) 3187 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 0*m - m)*(66 + 18*m - 66) - 1 + 1 + 2*m**2 to the form h*m**2 + d*m + j and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 + 11932*a**5 - 4*a**4 - 74436*a**2?\nAnswer: 240*a**3 + 715920*a**2 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -260\/3 + 86. Let d = -386\/21 + 56\/3. Let o be (3 - 2)*-2 + 3. What is the biggest value in u, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0814017 to four decimal places.\nAnswer: 0.0814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2008*q + 8572 + 19410 + 10473 = -37849 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*b**4 - 97 + 97 + (-b + b + 2*b)*(5*b**3 + 0*b**3 + 4*b**3).\nAnswer: -45*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8896*l**2 - 4445*l**2 - 4445*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -232, -5, -1, 1, -2, 5, 202 in decreasing order.\nAnswer: 202, 5, 1, -1, -2, -5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 2*q - 4*q + (-186*q + 68*q + 93*q)*(1 - 2 - 3)*(4 - 4 - 2) in the form g + a*q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -24498*n + 220485. Give h(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.052 - -0.148. What is the second biggest value in -4, 0.1, h, -1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11d (base 16) in base 14?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5))**(-9\/5) assuming i is positive.\nAnswer: i**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -940088 and -0.0733.\nAnswer: 68908.4504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24468393 greater than or equal to 24468393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3\/2, 6.01, 8?\nAnswer: 6.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1034*l**2 - 69*l + 2083781 wrt l?\nAnswer: 2068*l - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 28456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21672.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7902, -7953, -8004, -8055, -8106?\nAnswer: -8157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-10))\/(12\/10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 451*y**2 - 25*y + 3. Let a(h) = 71*h**2. Calculate j(a(u)).\nAnswer: 2273491*u**4 - 1775*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/10 - 1\/(-5)) + 20. Let k be ((-42)\/(-49))\/(1\/p). Find the second derivative of 5*s**4 - 2*s**4 - 9*s - k*s wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510004?\nAnswer: 2, 11, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 9. Let p be z(4). Suppose -4*o = p*j - 27, 5*j - 18 = j - 2*o. Is 2 + j\/(-2) - (-15325)\/50 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.26, 2\/17, -0.34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/115)\/((-9)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, -100\/7, 2\/5, -70.\nAnswer: -70, -100\/7, 3\/17, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-70 - (-8 + -16)) - (2 + -8)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-148)\/(-5) + 4\/10.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -236*w**2 + 1186*w + 29. What is x(5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:46 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**2. Let m(s) = -1. Let n(q) = -6*q**2 - 10. Let x(l) = 10*m(l) - n(l). Let z(t) = -3*f(t) - 4*x(t). Factor z(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*w = -3, -31 = 10*l - 5*l - 4*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2903943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 5:34 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19622 divided by 72\nAnswer: 9811\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 6*h**2 - 7*h - 8. Let q(d) = 6*d - 11. Suppose 347 = -5*n + 97. Let x = n - -53. Let t be q(x). Determine u(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/5)\/(-3) + -1. Let x be (-9)\/(-24)*(770\/(-42) + 19). Which is the third biggest value? (a) i (b) x (c) -2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -36 - 3*o + o + 43 + 3*o. Let n = 606 - 614. Give q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:37 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a milligram in micrograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80473.28 years to decades.\nAnswer: 8047.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d - 108 = 13*d + 43*d. Let i be (-4)\/4 - 2*-1. Calculate the remainder when d is divided by i\/(2 - 81\/42).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 28. Let i be w(0). Let a be (3\/2)\/(6\/i). Let p(l) = 3*l - 10. Let g(n) = 2*n - 5. Let z(h) = 5*g(h) - 3*p(h). Give z(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-1\/2))**(-12)*(k**(-1)*k)**(21\/5))\/(((k\/(k*(k**1*k)\/k))\/k)**(-2\/75))**(-1\/24) assuming k is positive.\nAnswer: k**(-13499\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. Let s(l) = -3*l + 1. Let p be s(k). Let n = 0.04 + 0.03. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001864948 to 6 dps.\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1535452, 1535301, 1535152, 1535005, 1534860, 1534717?\n\"Answer: p**2 - 154*p + 1535605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074931?\nAnswer: 11, 13, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 842 - -a5c5?\nAnswer: ae17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3172 and 103046385?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 118, -4, 0, -27 in increasing order.\nAnswer: -27, -4, 0, 1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Suppose x*j + 0*j = 26. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 5*s - w = 1, -s - 11 = 3*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 5*b**2 + 17*b**2)*(-b**3 - 5*b**3 + 4*b**3) + (26 - 59 - 11*b**4 + 31)*(-10 - b + 10).\nAnswer: -29*b**5 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {g: 5, x: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {n: 6, h: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6052 = a. Is 1*(-2 + a\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 - 20*z + 7*z + 13*z. Let l(u) = 3*u + 4. Calculate l(n(g)).\nAnswer: -18*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 1013, 1515, 2017, 2519?\nAnswer: 3021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.55879 + 0.44121. Let d = -0.9 + -0.2. Which is the third biggest value? (a) d (b) 2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16800 + 0?\nAnswer: 16800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(55) - (sqrt(55) - (sqrt(660) + sqrt(660) + 1*sqrt(660))\/sqrt(12)))\/sqrt(5).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:01 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2151 times 3?\nAnswer: -6453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence appp when four letters picked without replacement from {a: 2, p: 17}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 438\/775?\nAnswer: 438\/775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l - 2*f + 2 = 0, l = 3*f + 17. Suppose 35 = 2*k + 5*i, k + i = 2*k. Let z = l - k. Solve -4*a - 13 = g, a = -z*g - 4*g + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((97\/970)\/(12\/8))\/(2\/(-16)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/2 - 1047*k**2 - 177354*k + 1879740.\nAnswer: -3*(k - 10)*(k + 354)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1361, -1348, -1333, -1316?\n\"Answer: t**2 + 10*t - 1372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -52*s**5\/5 - 7*s**4\/6 - s + 53. What is the third derivative of u(o) wrt o?\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 60*x - 58*x - 87 = 0, -4*h - 2*x - 14 = 18 - 14 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15632654*-0.11.\nAnswer: 1719591.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.663 - 315.137. What is c rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from euhhvepz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-1\/5)\/f*f)\/f*f*f**(14\/3)\/f)**32)**(-36) assuming f is positive.\nAnswer: f**(-25728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1186265, -1186115, -1185965, -1185815, -1185665, -1185515?\nAnswer: -1185365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4247 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-11 - 46) - (-6 - 1 - 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/7 (b) 2\/21 (c) 1\/4 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19*l + 9*l + 6 + 11*l. Let k be g(-3). Find j such that 59*j + 128 - 55*j + 5*j**k + 37*j**2 - 115*j**2 + 284*j = 0.\nAnswer: -2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/1 + (-56)\/(-128) and 198\/(-4) - (-4)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 23022?\nAnswer: 23032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-4)*x))\/(x**(-11)*x*x*x*x))**(-15) assuming x is positive.\nAnswer: x**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26a97 - 9?\nAnswer: 26a8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.98 - -13.8761. What is f rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3236 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 2, m: 9, p: 1, d: 6}. What is prob of sequence hp?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 160, 313, 466, 619?\n\"Answer: 153*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8474453 is divided by 2824772?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15*q**3 - 3*q**2 + q - 4. Let y(z) = 61*z**3 + 10*z**2 - 4*z + 15. Let r(c) = -22*u(c) - 6*y(c). What is the tens digit of r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*t - 19603 + 19610 = 0, -3*r = 3*t + 9 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*((-132)\/(-3520))\/((-1)\/6)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -71338\/23 (b) -2\/7 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5457*l - 3 + 9 = -5454*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.077665 - 75.4\nAnswer: -75.322335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 798, 1595, 2392, 3189, 3986, 4783?\n\"Answer: 797*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 43*m**2 + 88*m + 160. Determine b(-41).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52570000 = 18*r - 25*r. What is r rounded to the nearest one hundred thousand?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352768910 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = z + 37, -5*v - 3*z = -2408. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, q: 3, r: 1, p: 3, v: 1, m: 1}. Give prob of picking 1 v, 1 m, and 2 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) 1\/4 (c) -12 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607 divided by -540844?\nAnswer: -2607\/540844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1054206 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.1 (b) 0.02 (c) 0.2 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 17 + 18. Let j = -47 + 45. Let v(y) = y**3 + 4*y**2 + 4*y + 5. Let u be v(j). Sort p, u, 4 in decreasing order.\nAnswer: u, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22755032 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -590, -970, -1400?\nAnswer: -1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -147, -317, -477, -621, -743?\n\"Answer: i**3 - i**2 - 174*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 19, -2, 8, -4, -20.\nAnswer: -20, -4, -2, -1, 4, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 76. Let m = -22.00000045 - y. What is m rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -739*f**2*p**2 - 1969819*f**2 - 1422*p**4 with respect to p.\nAnswer: -1478*f**2*p - 5688*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/151, 132, -1193?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 4812.\nAnswer: 33684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -167*p + 1306. Let w be s(2). Calculate the greatest common divisor of 1836 and w.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k**2 + k. Let w be g(-1). Let p = -0.1 + 0.3. Let u = -0.8 - p. What is the closest to w in u, -3\/2, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2 - 5*x + 0 + 4*x. Let h be i(4). Let k(r) be the first derivative of -r**4\/4 - 2*r**3 - 3*r**2\/2 - 4*r - 26149. Give k(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzatzttgtgzttg. Give prob of picking 1 t and 3 z.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-860)\/4515*12\/32*4\/1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(-3 + sqrt(19)).\nAnswer: -54 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46757514 to the nearest integer?\nAnswer: 6838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 4 = 14*m, 18 = c - 5*m. What is the smallest value in -21, -0.06, c?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143188280 by -121346.\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*g = g, g = 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9))**(-21)*a**7\/((a\/a**2)\/a))**14 assuming a is positive.\nAnswer: a**(574\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41893 - -4356835\/104. Let n = y + 3\/13. Suppose -10 = 2*k - 2*p - 4, -2*k - 8 = -3*p. Put k, n, 1\/3, 5 in decreasing order.\nAnswer: 5, 1\/3, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016.08 less than -3175147?\nAnswer: -3176163.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 22, 20.15, 1\/890 in decreasing order.\nAnswer: 22, 20.15, 1\/890, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (231*t**2 - 248*t**2 + 428*t**2)*(3 - 3 + 2*t).\nAnswer: 822*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -25. Suppose 142*l - 1116 - 601 = 839. What is the highest common factor of q and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 1. Let m be j(3). Let z = 19 - m. Let p = -107 + 141. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = 3*l - 21*q - 18, -2*q + 14 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47545?\nAnswer: 5, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6594.617 minutes in seconds?\nAnswer: 395677.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1691, 3608, 5735, 8060, 10571, 13256, 16103, 19100?\nAnswer: 22235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**4 - 4*a**4 - 2*a**4)*(290*a + 213*a - 17*a) + 0*a**4 + a**5 + 0*a**4 + (4*a**4 - 6*a**4 + a**4)*(-628 - 3*a + 4*a + 627).\nAnswer: -972*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(10\/96))\/(-2). Calculate the greatest common divisor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 280*n**6*w + 56*n**6 + n**2 + 98*n*w - 33*n + 2*w wrt n.\nAnswer: 33600*n**3*w + 6720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**5\/20 - r**4\/3 - 7*r**3\/6 - 5*r**2\/2 + 13*r. Calculate x(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, m: 3}. Give prob of picking 3 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28256.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20*w = -25*w - 204230, -2*b = -w - 81699. What are the prime factors of b?\nAnswer: 40853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k. Suppose 3*z = -k*z + 3*q + 3, -q = -4*z + 16. Suppose z = 4*b - 7. Let j(t) = 2*t + 1. Determine j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14544298879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 20*y + 105.\nAnswer: -5*(y - 7)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(18\/11)*t*t*t**5*t*t*t assuming t is positive.\nAnswer: t**(128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -214.3 + -14.7. Let g = a - -228.07. What is g rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000111 - 111001001010010?\nAnswer: -110111010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 v when four letters picked without replacement from jekjjjvvjejj.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8072663 is divided by 55.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*g + 62778 - 62946 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4919.934 millennia in years?\nAnswer: 4919934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -s - 2*h, -52 = -2*s + 4*h. Let q be (-42)\/(-9) - (-4)\/12. Suppose 4*u = 8, q*u - 6 = -d + 12. Calculate the least common multiple of s and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -5.\nAnswer: -12, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.55405 and -0.034?\nAnswer: 0.58805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from kwkpwkpk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -297*z + 4*z**4 + 375*z**2 - 4*z**4 - z**4 + 484*z**2 wrt z.\nAnswer: -12*z**2 + 1718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1540888 and 19155.\nAnswer: -1521733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + 357\/17. Suppose 4*i + 30 = -42. Let p = i + m. What is the greatest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -142 (b) -2 (c) -171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 2*h - 1. Let c be p(-1). Suppose c*y - 23 = -y. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s*v**2 + 79*s*v - 3289*s - 166*v**2 - 2*v + 2704 with respect to s.\nAnswer: v**2 + 79*v - 3289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 1224*f**2 - 299*f**2 - 25*f - 311*f**2 - 305*f**2 - 308*f**2.\nAnswer: f**2 - 39*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 y when four letters picked without replacement from {i: 4, v: 4, y: 7}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(128) + -2 - sqrt(128))**2.\nAnswer: -64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + n - 5. Let g(i) = i**2 + i - 1. Determine -4*g(j) + u(j).\nAnswer: -j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from rzrccrcrvr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*sqrt(504))\/(sqrt(384)\/sqrt(3) + sqrt(8)))**2.\nAnswer: -1008\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/5*h**2 - 1\/5*h**3 + h - 15.\nAnswer: -(h - 5)**2*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8664537*v**4 - 14242886.\nAnswer: -34658148*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -37, 4, 139, -2 in decreasing order.\nAnswer: 139, 4, 2, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*-1 + sqrt(76) - sqrt(76))\/(6*sqrt(12)\/sqrt(3)) + 5.\nAnswer: -sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-94)\/(-517))\/((-35)\/(-55))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a0 (base 12) to base 5.\nAnswer: 30432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 4*y + 3. Let l be w(-4). Suppose -2 = 4*d - 2*v, -14 = -2*d + l*d - 5*v. Let x = 4 - -3. Put d, x, -0.2 in decreasing order.\nAnswer: x, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.601129 litres to millilitres.\nAnswer: 5601.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(288)*4 + sqrt(2) - sqrt(2)).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -0.07, -3\/5, -5\/2 in descending order.\nAnswer: 4, 0.3, -0.07, -3\/5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -172155 - 2?\nAnswer: -172157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iisy when four letters picked without replacement from {s: 1, i: 3, c: 2, y: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3)*(0*g**4 + g**4 - 2*g**4)*(55 - 6 - 24).\nAnswer: 75*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2167526 is divided by 270937.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1889*c + 58*c + 79*c in the form z + a*c and give a.\nAnswer: 2026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -18*p**3 - 93*p**2 + 550*p + 625 = 0.\nAnswer: -25\/3, -1, 25\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + 2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.5, 3, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Is 2\/x*514 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 u when three letters picked without replacement from yucucyuuccucc?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/(-3) - 3\/(-9). Let o = -8 - h. Solve 10 = -2*x + 4*t, x - o*t - 7 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392415, 392409, 392393, 392361, 392307, 392225, 392109, 391953?\nAnswer: 391751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5235049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268225 is divided by 11151.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.9 + -6.9. What is the third biggest value in 4, -0.3, -9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17240*u - 258567. Give c(-15).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 260429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 18, 6, 4, -2\/119, -0.15?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(35))\/sqrt(7) + 5) - ((sqrt(500)*2 + sqrt(500))*2 + 2)**2.\nAnswer: -18019 - 243*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1643 - -1642.99221. What is d rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102208 and 38328?\nAnswer: 306624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-6) - (-10)\/4. Let m be -1 + (a - 0\/2). Let f = m - 2. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2548 and 728.\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 79.\nAnswer: -30\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 787, 3, 2, 5, -3 in increasing order.\nAnswer: -7, -5, -3, 2, 3, 5, 787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(18\/16))\/((-106)\/(-159)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2491, -2481, -2469, -2455, -2439, -2421, -2401?\n\"Answer: b**2 + 7*b - 2499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**3 + 10*o**2 + 64. Let m(a) = -5*a**3 - 6*a**2 - 43. Calculate -11*m(g) - 7*r(g).\nAnswer: -g**3 - 4*g**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 2*q**3\/3 + q**2 - 12. Let k(d) = -3*d**2 - 2*d. Determine -3*k(i) - 4*w(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/12)\/(119\/9 - 13). Which is the third smallest value? (a) t (b) -4 (c) -2 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - 1.36. Let i = x - -3.4. Which is the closest to i? (a) -0.3 (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(68))**2 + sqrt(68).\nAnswer: -288 + 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.51 - 31.5. Which is the smallest value? (a) f (b) 0.4 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 8*t - 3 = 9*t, -23*p + 18*p = -5*t - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 53407?\nAnswer: 801105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -28221.8 to the nearest one hundred.\nAnswer: -28200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 305 = -2*t, -3*t = -6*t - 5*k + 420. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 110, 151, 192, 233?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.63416 - 0.6432. What is k rounded to 4 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -293.\nAnswer: 7618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 42 = -4*x, 32*x = 35*x - i - 31. Solve -4*p - x = -3*f, -3*f - f = p - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.636 and -4683?\nAnswer: 7661.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbthtttthtttbt. What is prob of picking 3 t?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3818, 3571, 3160, 2585, 1846, 943?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07864358 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6417, -10935, -15463, -20007, -24573?\nAnswer: -29167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -983, -1967, -2951, -3935, -4919, -5903?\n\"Answer: -984*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2 = 2*c, -108 = -4*n + 4*c - 100 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkkitjiitktqikki. What is prob of picking 1 t and 2 k?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -79b8 (base 12) in base 9?\nAnswer: -20505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99485*a**5 - 46336*a**2.\nAnswer: -5969100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*l - 234 = -39*l - 8*l. What is the lowest common multiple of 2198 and l?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768 rounded to the nearest ten?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 35470368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 8. Let n = 1 + -2. Let o(v) = 193*v - 35. Let f(c) = 11*c - 2. Let h(m) = -35*f(m) + 2*o(m). Determine n*z(l) - 2*h(l).\nAnswer: -l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0647 * 4.\nAnswer: -4.2588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*o + 116 - 19341 = 0, 5*t = -11*o + 19209. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 89744.91 micrometers?\nAnswer: 89744910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -186451 divided by 1\nAnswer: -186451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 6. Suppose -62 + w = -2*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/8)\/((-15)\/(-6)). Let d(b) be the second derivative of 0*b**2 + 0 - 1\/6*b**3 + 3*b + 0*b**4 - y*b**5. Calculate d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 5*h**2 + 2*h + 6. Let n be d(-3). Let z be -7 + 11 - n\/3. What is the nearest to -0.1 in -3\/8, z, 1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + d - 29, -2*z - z + 3*d - 27 = 0. Let b be 39\/26 - (90\/4)\/z. Suppose -10*t + b*t + 140 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2504 is divided by 87.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257519?\nAnswer: 257519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8476056 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 720 + -718. Let q = -215.02 - -215. What is the fourth smallest value in q, w, 6\/13, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) -5 (c) -2\/75 (d) -3 (e) -1\/104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 47, -0.0613, 0.16?\nAnswer: -0.0613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 - 1200*s + 88236 = 0.\nAnswer: 129, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 1 = d. Let x(u) = -31*u. What is the remainder when x(d) is divided by 22*(0 + (-1)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 40, -58 in descending order.\nAnswer: 40, 14, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 2*w + 4*b + 20, 4*b = 3*w - 20. Sort w, -2, -4 in ascending order.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 + g + 17 + 4*g**2 + g**3 + 0*g**2. Let c be t(0). Calculate the highest common divisor of 187 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 758 or 16284?\nAnswer: 758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 12*z**2 - 15 + (-4*z + 6*z - 3*z)*(-z - 4*z + 4*z) to t*z + v + h*z**2 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 - 65. Let r = -57 + s. Let x(n) = -n**3 - 5*n**2 - 2*n - 4. What is the least common multiple of x(r) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*a = -18, 0*n + a + 18 = 2*n. Suppose -2*v + 4*t + 0 = 8, n = -5*t. Let x be 2*(60\/v)\/(-3). Solve -4*z = -5*l - 0*l - 27, -l + 12 = x*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21066 and 4539723.\nAnswer: 9079446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 9*g)*(2*g + 0 + 0).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 2*u**2 - u - 4. Let a be b(-3). Let q be 3\/4 + 2\/a. Is q greater than or equal to -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 20*k + 27. Let y be q(-19). Solve y*f = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 3*g**2 - 2*g - 1. Let n be k(-3). Let q(o) = -4 - 3 - 2 + 7 + o**2 - 5*o. Let t be q(n). Let d(f) = 2*f. What is d(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/29)\/(c\/(c**18\/c)*c) assuming c is positive.\nAnswer: c**(431\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13312 (base 4) to base 13\nAnswer: 2c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 79623?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2 + 2)*(-137*f + 802*f + 1141*f + 123*f).\nAnswer: -3858*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + j = 1339 - 556, 0 = -5*u - j + 979. Suppose -4*d - 153 = -753. Let i = u - d. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paap when four letters picked without replacement from paappaaaaaaapp.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136817 and 202847.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-1.898521.\nAnswer: 30.376336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 0*c + w = -9, 5*c - 3*w + 24 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 10 (b) -12 (c) 0.3 (d) 0.2 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206317*a + 299 = -207077*a + 13219 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 276*c**3 + c + 2. What is b(-1)?\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mspic. Give prob of sequence psc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2376124164?\nAnswer: 2376124168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -21. Let w = -22 - h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0 - 2*g + 3 + g**2 - 4 + 0*g**2. Let k be w(6). Let y = k - 27. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22679*l**4 - 111883*l**2.\nAnswer: 544296*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 6*k + 2*k, -8 = 3*f + 5*k. Let h(a) = a + 1. Let d(r) = r**3 + r**2. Suppose 5*o = 2*o - 3. Let y(t) = o*h(t) + d(t). What is y(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.3. Which is the second smallest value? (a) r (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.54928 rounded to the nearest integer?\nAnswer: -651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) + 1170\/(-12). Let g be (-9)\/(63\/1232) + 5. Let h = i - g. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 + 76. Let j = -1110035.69898 + 1109943.7. Let z = j - f. What is z rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -52, 6, 0.1 in increasing order.\nAnswer: -52, 0.1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 991050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313438 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -194352, -777600, -1749744, -3110784, -4860720?\n\"Answer: -194448*h**2 + 96*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 25. Solve 3*c = -5*q - 15, c + 5*q - 15 = f*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 176 = 19*f. Suppose -4*k - i = k - 33, -30 = -4*k + i. Let p = k + f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p + 2 - 2 - 66*p + 31*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/8)*f)\/f**(-2\/15))\/(f\/f**(1\/3)*f)**30 assuming f is positive.\nAnswer: f**(-5909\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2763790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**3 + 3*n**2 + 5. Determine p(-3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 45 = 30 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.40117 plus 0?\nAnswer: 587.40117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4369155 + j + 2188918 + 2180237.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:58 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s**3*s*(s*s**(-3\/4)\/s)\/(s\/s**1))\/((s*s**0*s*s)**(-10\/3)*(s*s\/(s**(-1)*s))**(3\/32)) assuming s is positive.\nAnswer: s**(129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u)**17*u*u\/((u*u\/(u\/(u*u*(u\/(u*u*u**(-5)))\/u*u)))\/u)*u**(2\/19))**31 assuming u is positive.\nAnswer: u**(-12307\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(528) - sqrt(528))*-2)\/((sqrt(1100) - (sqrt(1100) - (sqrt(1100) + (sqrt(1100) + sqrt(1100) + 1*sqrt(1100) + sqrt(1100) - sqrt(1100)))))*4).\nAnswer: -3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/2 + 3841*h**4\/2 + 21069*h**3 + 15310*h**2 - 38300*h = 0. Calculate h.\nAnswer: -3830, -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:41 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 32 = -3*v - 38, 5*v - 29*g - 23 = -33*g for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124517164?\nAnswer: 2, 41, 43, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 52 - -86 - (6 - 35)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*o - 12, -2*n - 2*o = o + 11. Suppose -n*f - 153 = -5*q, q = 11*f - 6*f + 26. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 27*c - 1. Determine s(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244287059 and 799?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:04 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -547*w + 721. What is the hundreds digit of v(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40107 and 8985351?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4167939 - -4139018.07. Let w = c + 28926.930012. Let z = w + -6. What is z rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**2 - 2*l + 1. Suppose 2*s + 2*s = -3*o + 106, -5*s + o + 123 = 0. Let v = s + -18. What is the remainder when z(1) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 42856*y + 7169920.\nAnswer: 4*(y - 10544)*(y - 170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16751382, 33502763, 50254144, 67005525, 83756906, 100508287?\n\"Answer: 16751381*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/9 - 14*z\/9 - 4\/3 = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - 3*l - 2 + 2*l + 2 + (-3*l + 3*l + 2*l)*(5 - 4 + 0) + 0*l + 2*l + 0*l)*(-2*l - 4 + 2 - 1) + 3*l**2 - 8*l**2 - l**2.\nAnswer: -12*l**2 - 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-20))\/((-5850)\/(-682500))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273 - 271 + 544 - 70*w to s + l*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 547, 4, -2, -152, 2 in descending order.\nAnswer: 547, 4, 2, -2, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24646 or -0.163?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiha. Give prob of sequence hh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 - (4 - (1 - 1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 - 145. Solve h - q*h = 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Let b = -13 + 24. Suppose d - 2*h - 2*h = b, -d + l = -2*h. Let u(c) = c**2 + 4*c + 1. What is u(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -3*m + m + z, 192 = 3*m - 4*z. Suppose u - m = 2*j + 133, -5*u + 960 = -5*j. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2430 divided by 2.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112371650 rounded to the nearest 100000?\nAnswer: -2112400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17005 + -17003. Factor -39*s + 507\/2 + 3\/2*s**n.\nAnswer: 3*(s - 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1 + 0 + j + 1 - 1. Let w be o(3). Suppose -w*c + 3 = -49. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51619 is divided by 1258.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)\/1*2. Let s be (6\/(-5))\/(x\/(-5)). Suppose s*v = v + 8. Solve v*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 1. Let g be n(3). Suppose -g*r + 4*h = -22 + 2, -4*r = -2*h - 10. Let j(v) = -v + 11. Calculate j(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 0.2737 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 c when three letters picked without replacement from {q: 1, o: 1, n: 1, m: 2, c: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5585492358 - 5585493755.9999353. Let r = -1398 - z. What is r rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 20254675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/12 + 0)\/((-15)\/9360*-12). Solve 10*p - 6*p - 5*q + 3 = 0, 0 = 4*p + 5*q + w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:35 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1564184 to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhihhhhihh. What is prob of sequence ih?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65\/93 + -4321\/372. Let y = -54 - -38. Calculate the common denominator of f and 2\/33*12\/y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-18))\/((-5)\/(-70))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**3 - 27*w**3 + 13*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -14 + 0*y - 2\/3*y**3 + 0*y**2. Let l(v) = 2*v. Determine l(j(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 44, 71?\n\"Answer: 27*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67.36245t?\nAnswer: 67362450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 675 - 324. Let v = -230 + u. Is v at least as big as 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6688899 to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 1 - 1)*(-2 + 3 + 9)*(7*c**3 + c**3 - 3*c**3).\nAnswer: -100*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543270391?\nAnswer: 543270391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 15\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -2\/11, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 minus 911.022809?\nAnswer: -913.122809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 2*z + 11. Let g be n(-5). Let h be 1*(5\/(-2) + 2). Put h, 4\/5, g in increasing order.\nAnswer: g, h, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85637225 divided by 25.\nAnswer: 3425489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 35*t**2 - 11*t**2 - 1 to the form a + l*t + u*t**2 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 28 = -5*n, 2 = -126092*q + 126090*q for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25.022 + 637\nAnswer: 611.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22677 = -5*g - 1592. 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 third derivative of 418*l**2 + 398*l**2 - 26*l + 2 - 815*l**2 + 2174*l**3 + 7*l wrt l?\nAnswer: 13044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-2 + 2 - 2*q)*(16*q**2 - 16*q**2 - 22*q**3).\nAnswer: 44*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/8 - (-24)\/32) + 2. Suppose -v - 3593004 = 4*f, -t*v - f - 1896646 = 12475355. What is v rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122012 (base 3) to base 5\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*o**5 - 5 - 162*o**5 + 5 + 57*o**2 wrt o?\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3852 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: Is 6426477319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/8 - 4333477*y\/4 + 8666953\/8 = 0. What is y?\nAnswer: 1, 8666953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*z + 10, 5*z + 4 = 2*s - 0*z. Let q = 4 - s. Suppose 2*k + 64 = 2*y + 4*k, -q*k = y - 27. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) - (sqrt(1452) - (sqrt(1452) + sqrt(1452)*2))).\nAnswer: sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/((-95)\/(-8075)) - 45\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15502*b - 15490*b = -p - 79, 0 = 4*p - 4*b - 48 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let d(f) = 3 - b + f - 11*f**3 + f**2. List the prime factors of d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2535.624 meters?\nAnswer: 253562.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f - 21. Let y(n) be the third derivative of n**5\/60 + 3*n**2 - n. Determine y(z(b)).\nAnswer: 100*b**2 + 420*b + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Suppose 0 = -u*q - 1 + 17. Suppose -20 = -q*f - 8. Calculate the highest common divisor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 x when three letters picked without replacement from xexxxeexxxxxx?\nAnswer: 135\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(1 - 4 + 0 - i**2).\nAnswer: 2*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79 and 410034?\nAnswer: 32392686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13007062 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*l - 6*l + 26, -5*z + 23 = -l. Let s(h) be the first derivative of h**3\/3 + 3*h**2\/2 + h - 3. Let o be s(-3). Sort o, l, -3.\nAnswer: -3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356971 is divided by 804.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least 3825.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4 - 68270*o**3 + 204822*o**2 - 204826*o + 68276 = 0.\nAnswer: -34138, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 609052377*a - 594535041.\nAnswer: 609052377","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/152 in -0.02, -4, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 40 = 2*o, -9*o + 37 = p - 10*o. Let l = 615 - 241. Calculate the greatest common divisor of l and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379 is divided by 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-846)\/(-1833))\/(2\/39*3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 871 - 873. Let f = -2 - 2. Which is the closest to f? (a) -1\/2 (b) 0.04 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372)*-2 - sqrt(1372))\/(2*sqrt(400)) - (-1 + ((sqrt(84)*2)\/sqrt(12))**2*2).\nAnswer: -55 - 21*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45954 and 593262.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 283.306 to 0 dps.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5704 + -5698. Solve -16*c - g = -14*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 9. Let o(x) = 2*x - 9. What is -3*l(p) - 2*o(p)?\nAnswer: 2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/120 + k**5\/60 + k**3\/6 + 11*k**2 - 66*k. Let j(l) = -42*l**3 + 35*l**2 + 35. What is 3*j(g) - 105*n(g)?\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + (14 + 15 - 27)*(0 - 3 + 1))*(-4*t + 2*t**2 + 4*t + 0*t**2 - t**2 + 0*t**2 - 2*t**2 + 0*t**2 + 3*t**2 + (-3*t + t + t)*(0*t - 5*t + 4*t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 63376 (base 8) to base 13\nAnswer: c002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9344, 8664, 7532, 5948, 3912?\n\"Answer: -226*z**2 - 2*z + 9572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -3, -0.5, -14, 13.214?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8217396 or 8217395?\nAnswer: 8217395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**3 + 16*h**3 + 12*h**3 - 61*h**3 + 16*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134798 = -8*w - 7590. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 1, k: 2}. Give prob of sequence ci.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 220.3756 years?\nAnswer: 2644.5072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 19*n + 16. Let p be i(-18). Let v be p\/(-3)*(-72)\/(-16). Find the first derivative of -v*d**2 - 7 - 6 - 6*d**2 + 4 wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + 39*i - 136. Determine z(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 - -0.03. Let k = -0.9 - b. Which is greater: 32 or k?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*r + 2 = -12, -4*r = -5*d - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -1 + -1 - (855 + -833)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842.061ml in litres?\nAnswer: 4.842061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*w + 499*w = -291*w - 23452 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 306993*k**2 - 209274 wrt k?\nAnswer: 613986*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/28 - -9\/7. Let s = -7.9 - -4.9. What is the nearest to y in 0.2, 3, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, j: 4, g: 1}. What is prob of picking 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*l + 79, -5*l = -2*g + 6*g - 70. Find the common denominator of -9\/8 and (-3636)\/l*(-1)\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c**3 - c**2 + 1. Let t be g(-1). Let i(n) = -4*n - 18. Let r be i(-5). Solve -b - r + 0 = 0, -3*h + 3*b + t = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -52, 1, 3, -0.19, -2\/13?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -1171*a**4\/2 + 31*a**3\/3 - 2*a**2 - a - 6196. Find the third derivative of z(q) wrt q.\nAnswer: -14052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 2, -2, -393, 3.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) -0.3 (c) -6\/19 (d) 6 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 76. Let q be z(-16). Let o(v) = -31407*v**3 + 5*v**2 - 6*v - 8. Let h be o(q). What is h rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crrtcrtc. What is prob of sequence rrtr?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 17*z + 2. Let l(q) = -6*q - 1. Determine -8*l(n) - 3*v(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p - 111*p - 366. Sort 1, 5, -1835, p, 3 in ascending order.\nAnswer: -1835, p, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 5*t**4\/12 - 5*t**3 + 25*t**2\/2 + 7*t. What is m in v(m) = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -12*r**2 - r. Let p be v(1). Let l(n) = -17*n + 108. Let k be l(7). Is p bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20916900 and 2970.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204780.\nAnswer: 2, 3, 5, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 3:21 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 8*i**2 + 7535*i + 97337*i - 2*i**2.\nAnswer: 2*i**2 + 104872*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*l = -149*l. Solve 5*n + 4*q + q + 15 = l, 0 = 5*n - 4*q + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 1 - 3 + 6*d**2 + d**6 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**3\/2 + r - 7184. Let q(l) = 15*l - 24*l - 23*l. Determine q(h(x)).\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*k - 1510*k + 7280 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.03, 3\/17, 105?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46142\/3 - -15383. Which is the nearest to 0? (a) k (b) 11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 - 52857*m**4 + 1004536*m**3 - 5710480*m**2 + 6768384*m + 13536256 = 0. Calculate m.\nAnswer: -52876, -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**3 + 6*v**2 + v - 25. List the prime factors of s(-7).\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -4)*(1 + 0). Let b be 8 + -10 - j*2. Suppose z - 2 = -0. Put z, b, -5 in descending order.\nAnswer: z, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = 9*d. Suppose d = -4*v + v + 981. What are the prime factors of v?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68952233 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5649163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 40*v + 840. What is d(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4 + 5*w - 8 + 7*w. Let l be k(3). Solve -3*y - 10 = -m, -5*y + 0*m - l = 2*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/49, 3, -5, -2\/17, -3?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from rrrrrmrrqmrrruru.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4c (base 15) to base 13\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2805 by -165.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1 - 5 + 1 + u. Let j(g) = 4*g - 10. Let c(h) = -3*j(h) + 10*q(h). Let t(m) = -2*m - 2*m - 4*m - m. Calculate c(t(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -416 - -161. Let s = u + 376. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 7*o**2 - 6*o + 6. Let i be u(-6). Suppose 0 = -i*q + q. Factor 0 + q*p**2 + 2\/7*p**4 + 0*p**3 + 2\/7*p**5 + 0*p.\nAnswer: 2*p**4*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.8 or -0.106?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 6) to base 9\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2420, -5640, -9098, -12914, -17208, -22100?\n\"Answer: -20*z**3 + z**2 - 3083*z + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from mmufkffmdhu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -33*y**2 - 11*y - 13. Let f be i(-5). Let n = f - -794. Suppose 3*w - 111 = 18. What is the remainder when w is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 2*z**2 + 2*z + 3. Let y be m(3). Let a = 23 + y. Let v(g) = g**3 + 9*g**2 - 10*g - 5. Let h be v(-10). Put 2, h, a in decreasing order.\nAnswer: 2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.6 > -17\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*j**2*r*w**2 + 9*j**2*w**2 + 48*r*w**2 wrt j.\nAnswer: -16*j*r*w**2 + 18*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/8 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163106, -326177, -489216, -652223?\nAnswer: -815198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 7*o - 5. Let a be f(-6). Is (a\/2 + 0)*414 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244791 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1014 and 20150546.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17c4c + -2?\nAnswer: -17c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 10:49 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j - 24. Let m = -10 - j. Let a = 0 + -1. Are m and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4961161.27500284 - 4961272.275. Let c = l + 111. Round c to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 3 - (-37 + 16 + 17).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 5. Let j be f + (-3)\/((-3)\/7). Let s be (-2306)\/(-14) + j\/14. Calculate the highest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354\/45 - (-4)\/30 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 40548309755 - 40548309755.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 38128\nAnswer: -1\/38128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362524.\nAnswer: 2, 90631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 13) + -32 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-9))\/(5120\/(-120) - -42).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22733 - -44980. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*((sqrt(272) - sqrt(17))*-5 + (sqrt(2448) - (sqrt(2448) + -3))**2).\nAnswer: -75*sqrt(17) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*o**2 + 158*o - 1008 wrt o.\nAnswer: -34*o + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758*y - 1290*y - 926*y = 1035*y + 39888 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00263092 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8)*2\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -40. What is the remainder when 77 is divided by (-26)\/13 + (g - 1) + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 413162.273 and -0.1851802.\nAnswer: 413162.0878198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -191564 not equal to -191565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2263740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:52 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 562 - -77. Let o = x + -561. Sort -1\/2, o, -1 in ascending order.\nAnswer: -1, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 10. Let g(v) = v**2 + 6*v + 8. Let m be g(-5). Let h = 0.04 - 0.44. What is the nearest to f in m, 1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -23342?\nAnswer: 23342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 5*p - 10. Let y be h(7). Let b(d) = y*d**2 + 1 - d**3 + 2 - 10*d**2. What is the units digit of b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877255637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 506 = -a. Let f = 146 - a. Round f to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9534, -19, -7?\nAnswer: 0.9534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/54, 639, -3355 in ascending order.\nAnswer: -3355, -1\/54, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -15. Suppose 5*f - 2*u = 0, 5*f + 35 - 5 = -l*u. Let z = 109\/2 - 53. Which is the smallest value? (a) f (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*a + 17. Let x be (28\/(-20) + 1)\/(a\/40). Let g(n) = -n**3 - 9*n**2 - 8*n + 2. Calculate g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-16))\/((-39)\/26).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15481276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290817 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 23 = 3*p - 1, -3*v - 2 = 2*p. Let n = 848 - 822. Solve -v*a + 18 = -4*r, 2 = 2*r - 4*a + n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*u + 0 + 2*u + 5*u - 5*u + (3 - 4 + 0)*(u + 5*u - 3*u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2896 and 2172.\nAnswer: 8688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 + 368 = 18*k - 243 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.3827 - 10.993. Round u to two decimal places.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11315)\/(-9) - ((-282)\/(-54) + -5) a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-777)\/(-12))\/(8\/160). Let f(b) = -2568*b + u*b + 1284*b. Let z(h) = 1 - 1 - 4*h**2. What is f(z(c))?\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -9*y**2\/2 + 3*y + 271. Let w(m) = -m**2 - 7*m - 8. Let j be w(-6). Let s be a(j). Which is smaller: 22 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122672328 by 58056.\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -27, -41, -55?\n\"Answer: -14*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g - 52*g - 2 = 0. Is g\/(12669\/(-6333) + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + -88. Let q be 28\/(y + 2) + 2. Solve 5*o - 10 + q = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 4*c + 5, -11*v - 5*c = -6*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 6:43 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sheeeehesssh. What is prob of picking 1 s, 1 h, and 1 e?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 5*m**2 + m - 10. Let z be j(-4). Solve z*u + 2*u - 12 = 0, -4*f - 3*u = -29 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -199*x + 5. What are the prime factors of q(-3)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/5 + 6113722*v\/5 + 6113721\/5 = 0.\nAnswer: -6113721, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -10\/7, -2, 2, 4\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 123*h + 0*h**2 - 69*h - 9*h**2 - 65*h. Let o(p) = 9*p**2 + 12*p. Let r(n) = 3*f(n) + 4*o(n). What is the second derivative of r(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18751, 37638, 56657, 75808, 95091, 114506?\n\"Answer: 66*m**2 + 18689*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 2504 = -4*b, b + s - 627 = 0. Suppose 7*p - b = -126. Let x = p + -34. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 24*n**2 - 18*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/10 - 2\/(-5). Let c be (2\/(-4))\/((-1)\/(-108)). Let f be c\/(-24)*(-40)\/(-3). What is the greatest common divisor of m and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 252 - 219. Solve 5*z - h = 16*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1144 - 1605. Let r = -466 - l. Let i(h) = -2*h**2 - 6*h - 7. Calculate i(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(-3 + sqrt(117)*-1 + 2 + (sqrt(117) - sqrt(117)*-2*6) + -2 + sqrt(117) + 0 + sqrt(117))*-2)**2.\nAnswer: -580608*sqrt(13) + 52856064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -79*l**7\/210 + l**6\/120 - 55*l**3\/3 + 26*l**2 - 4*l. What is the first derivative of h(t) wrt t?\nAnswer: -316*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/22 and 36\/535?\nAnswer: 11770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210 and 1078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*y**5 + 308*y?\nAnswer: 1400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2810883*0.2\nAnswer: 562176.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1374*m**2 - m + 6. Let y be j(2). Round y to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*z + z = 5, -4*b - z + 14 = 0. Let i = 4.2 - 4. What is the third smallest value in i, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from {t: 5, g: 2, x: 6, s: 2, q: 1, r: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.081885 + 0.082. Round j to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 + 31*z + 373. Give k(-9).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 244 and 16087?\nAnswer: 3925228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/(-2))\/(6\/20). Let y = 70 + a. Suppose -5*v = -y - 15. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00093929 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47313657 by -1526247.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3, 3, -3\/8, -32\/11?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:30 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 26351700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*b + 48100, b - 4585 - 5035 = -2*u. Is 49 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3104 (base 8) to base 2.\nAnswer: -11001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1656241, -3312491, -4968747, -6625009, -8281277, -9937551?\n\"Answer: -3*p**2 - 1656241*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 - 231*f**4 + 3057*f**3 + 231*f**2 - 3060*f = 0. What is f?\nAnswer: -1, 0, 1, 17, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*w - 9594, -l - l - 2*w + 9606 = 0. Is l - (-5 - (4 + -3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559 - 559 + 1115 - 92*d.\nAnswer: -92*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 41*w**2 + 3*w - 128*w**2 + 81*w**2 - 2*w.\nAnswer: -88*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 4*t**5\/25 + 13*t**4\/15 + 22*t**3\/15 + 4*t**2\/5 + 28*t. Solve u(y) = 0 for y.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2105 - -337?\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**5)\/((z**(-2\/11)*z)\/z)*((z\/z**(-1\/4)*z)\/z)**(24\/11)*((z*z\/(z*z**1)*z)\/z)**(-32)*z**(-4\/3)*z**(-2\/7)*z*z assuming z is positive.\nAnswer: z**(-164\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5263 greater than 884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 2*o + 1. Let p be m(2). Suppose -2*c = -p*s - 345, 0*c - 4*c = 2*s + 114. Let k = -12 - s. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y - 21*y - 3*y + 7*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 52. Let a = -88.6 - d. What is the closest to 2 in 0.3, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:34 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 55*k - 53*k + 106*k - 80.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1109073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*i + 13*i**2 + 32*i + 46*i in the form x*i**2 + w + m*i and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 121858 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 207018*u\/5 + 2153528.\nAnswer: -(u - 52)*(u + 207070)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7876 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-7)\/6 - 0. Let l = -0.04 + -2.96. Let v = 0 - l. Which is the third smallest value? (a) -2 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 24 - 0. What is the lowest common multiple of 14 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) 0.7 (c) -2 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.091 + 0.1095. Round q to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111682171.1 + -111682184.50000114. Let q = -13.4 - u. What is q rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 2*o + 1. Let m(n) = -n**2 - n - 1. Let w be (-2)\/2*(4 - 1). Let h(v) = w*q(v) - 2*m(v). Determine h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 0*s)*(5 - 5 + 2*s)*((1 - 1 + 2*s)*(-s**2 - 4*s + 4*s) + (2 - 3 + 2)*(20*s**3 - 41*s**3 + 14*s**3)).\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -122 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-6) - 2\/(-6). Suppose -m - p*m = -9. What is the remainder when 2 + m\/((-6)\/(-22)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 6*j - 6. Suppose -18*s = -10*s + 32. Let f be m(s). Calculate the highest common divisor of f and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m - 1. Let w be p(3). Let t be w\/4 + 9\/6. Suppose -3*z + 10 = u - t*z, 0 = -2*z - 6. Solve 2 = u*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358 + -2944. Is (o + 3)\/(1 - (5 - 3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3288 and 2.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) + (-572)\/(-12). Let t be (-4)\/6 + v\/18. Find the first derivative of 0 - 1 + y + t*y wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 8 - 17, 5*z - 3*s = -919. Let o = -178 - z. Which is the third biggest value? (a) 0.3 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.70102 to two decimal places.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 6. Let p be o(14). What is the highest common factor of 30 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -361\/12. Let f = -157 - 41. Calculate the common denominator of g and 4\/22 - (-1059)\/f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -29 + 13 - (-4 + (-2 - -1))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 + 371 = -7*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-24)\/(-15))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 597 divide 3972723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w = -10*l - 26, 6*l - 48*w = -53*w + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240755 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 4*q + 4, 0 = 4*q - 12. Let x = -0.28 + 8.38. Let i = 11.1 - x. Sort i, m, 1\/11 in descending order.\nAnswer: m, i, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m**3 - 6*m**2 + 10*m - 4. Let h(p) = -p**2 + 2*p - 1. Let q(x) = 4*h(x) - z(x). Let n(y) = -41*y**3 + 11*y**2 - 11*y. Give 6*n(c) - 33*q(c).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -8, 5*o = 5*p - 15 + 50 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, k: 8, m: 5}. Give prob of picking 1 m and 1 k.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*5843500\nAnswer: 1110265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/15895 and -127\/3366.\nAnswer: 286110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 50*f**2 - 2*f - 1. Let j be b(-1). Let l = j + -31. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 15*l. Let p(t) = 9*t**2 - 11*t - 11. Let u(m) = 5*m**2 - 6*m - 6. Let x(a) = -6*p(a) + 11*u(a). What is d(x(h))?\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 61*s**2 + 38*s - 19. List the prime factors of o(5).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - o + 2. What is f(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 44335.39804 to the nearest integer.\nAnswer: 44335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3\/3 - 1022*o**2 - 177227*o\/3 + 186434 = 0.\nAnswer: -3007, -62, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(160)\/sqrt(5)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -14*d**4\/5 - 24*d**3\/5 + 38*d**2 - 192*d\/5 + 8 = 0.\nAnswer: -5, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -300, -416, -546, -696, -872?\n\"Answer: -k**3 - k**2 - 106*k - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 8*x. Let i be z(-8). Suppose i = -3*g + n + 38, -5*g + 2*n = 3*n - 50. Let c be (59\/5)\/1 + -1. Is g <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/22)\/(d*d*d*d**(-15)))**(-30) assuming d is positive.\nAnswer: d**(-3975\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -298 divided by -2\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3149.26 (b) 5 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449861 is divided by 149461.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 9. Let b(r) = -r - 4. Let c be b(k). What are the prime factors of 27\/9*(12 + c)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 7*u + 14)*(5*u + 9*u**3 - 5*u).\nAnswer: 63*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c - 2. Suppose 4*r + 6 = -c*l - 10, -2*r - 16 = 3*l. Let i = -8 + 13. What is the biggest value in i, r, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l + 21254 + 39478 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 53 + 110*v**2.\nAnswer: 110*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(171)*-1 + sqrt(171))\/(sqrt(1089)*-1))**2.\nAnswer: -434\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1235, 4, 5 in descending order.\nAnswer: 1235, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1842371 and 1745?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 24733*b + 123658. Give w(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/5 + 31461486*a\/5 = 0 for a.\nAnswer: 0, 31461486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109.3 + 120. What is i rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) - 2*sqrt(6480))**2 + (sqrt(5) + (sqrt(405)*3)**2)*5.\nAnswer: 5*sqrt(5) + 24705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 263*j**4 + 41*j**4 + 103*j**4 + (0*j**3 + j**3 + j**3)*(41*j - 27*j + 14*j) to c*j**4 + n + z*j**2 + t*j**3 + u*j and give c.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q - 2*q, 0 = 4*v + 5*q + 49. Let o(w) = -9*w + w**2 - 12 - 10 + 23. Let j(g) = -3*g**2 + 19*g - 3. Let t(d) = 2*j(d) + 5*o(d). What is t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*a + 0*a - 9 = 0, -v = -2*a. Suppose 0 = 2*m + 8, -j + v = m + 6. Suppose j*p - p + 109 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {i: 4, w: 1, e: 4, d: 1, r: 2, b: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32316 by -10772.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/129 - -397\/5676. Let a = -120 + 119. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s - 26 + 6*s - 112881*s**2 + 112880*s**2 - 14*s. Calculate o(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 25*j - 9. Let z be f(24). Let y(o) = -o**2 + 15*o - 12. Determine y(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39348 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 161a + 5?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 - ((0 - 1 - -5) + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -24283.56 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 2698*w - 2697.\nAnswer: -(w + 1)*(w + 2697)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 6, 1735 in descending order.\nAnswer: 1735, 6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:40 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000790934 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -112*o - 83. Let d(z) = -113*z - 72. What is -7*d(g) + 6*s(g)?\nAnswer: 119*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, 0.4, -4 in decreasing order.\nAnswer: 0.4, 1\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47061.74 less than -0.98?\nAnswer: -47062.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10167312 times -0.29?\nAnswer: -2948520.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27187 is divided by 96.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9361637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (7 + -15)) + (10 - 1) - 37.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8951, 1\/3, 6, 4\/9 in decreasing order.\nAnswer: 8951, 6, 4\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (11 + -3) - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = -32 - 58 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 3*y**2 + 7*y - 10. Let m be a(2). Let k(p) = -p**3 + 2*p**2 + p + 1. Let r be k(2). Solve m = r*d + 16 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 60. Let x(a) = -45*a**5 + 52*a + 7. Let f(k) = -30*k**5 + 35*k + 5. Let u(m) = p*x(m) + 7*f(m). Find the second derivative of u(r) wrt r.\nAnswer: 300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/3 + 28*d**4\/3 - 20*d**3\/3 - 80*d**2\/3 + 22*d\/3 + 52\/3 = 0. What is d?\nAnswer: -1, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (918*h - 594*h - 434*h)*(-3 - h + 3) in the form q*h**2 + k*h + i and give q.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -956*d. Let a(f) = -6108*f**2 + 9. Give x(a(i)).\nAnswer: 5839248*i**2 - 8604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -106, 0, 1 in decreasing order.\nAnswer: 4, 1, 0, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)**22)**(-2\/97) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 5*l**2 - 11*l + 16. Suppose 2*y + 2*y = 432. What is the remainder when y is divided by m(7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-9)\/(-3) + -21. Let q = -12 - n. Calculate the least common multiple of 2 and 1\/(-2) + 44\/q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.01 (b) -4 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -105e0 - 3348?\nAnswer: -13928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 992532 or 992534?\nAnswer: 992532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*5\/(-20)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011101 (base 2) to base 12.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/48595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*u - 7*h + 20, 2*u - 5*h = 5. What is the highest common divisor of u and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -308 (base 9) to base 2.\nAnswer: -11111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124839 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36270 and 44250.\nAnswer: 53498250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/(-5) - 0)\/(-1). Let v be 1 - 1 - (0 - 0). Let c(w) = 2 + v*w - 5 - w + f. Calculate c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.5131250979 and 2.5.\nAnswer: 10.0131250979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/130)\/(-36*(-60)\/(-1350)).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 684044.\nAnswer: -15048968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2201410 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*g**4 - 2 + (2*g**4 + 1 - 1)*(1 + 1 - 1) - g**4 - 2*g**4 - 11*g**4 - 53*g**4 - 315*g**4 - 113*g**4 + 6*g**4.\nAnswer: -485*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*z + 101*z + 126*z = -2856 + 11847 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -35e4 (base 15) to base 9\nAnswer: -16647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60189 - 493*u - 60189)*(3*u**3 - u**3 - 3*u**3).\nAnswer: 493*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6090\/(-735) - 60\/3 - (-4)\/14.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcctuuuucutuc. Give prob of sequence ctcu.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 40 = -170 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + u = -6*u + 5*x - 11, 5*u - 4*u + 34 = -7*x - 10 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 135\/20 - 12\/16. Let s(n) = n**3 - 5*n**2 - 6*n - 1. Let k be s(a). Let f be 3 + k + -3 - -7. Let o(t) = t**3 - 5*t**2 - 4*t - 6. Calculate o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -73282, -73122, -72928, -72706, -72462?\n\"Answer: -h**3 + 23*h**2 + 98*h - 73402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 210445747 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108.5 - 85. Let q = c + -23.4999525. What is q rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2939*m = 2945*m - 6. Suppose -7*p = -11*p + 784. Let y = p - 2745\/14. Which is bigger: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + -8 - (-2 - 2067995). Round m to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuujp. What is prob of picking 1 p, 1 j, and 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249022, 249026, 249034, 249046, 249062, 249082, 249106?\nAnswer: 249134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54393, -54390, -54387, -54384, -54381?\n\"Answer: 3*z - 54396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16430 = -143*g - 387*g for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 15*s + 212. Let p be r(-14). Is 86\/33 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5219*c - 1. Let b be j(1). Let y = -3718 + b. Suppose z + 2*z = -y. Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.285568*2.\nAnswer: 0.571136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = -6*z - 3*w, -2*z + 5*w + 8 = 0. Let p be (28\/(-64))\/(2\/z). Let t = p - -43\/40. Which is the second biggest value? (a) t (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*w**2 - 176*h**4*w + 3*h**2*w**2 + 27*h**2*w wrt h?\nAnswer: -24*h*w**2 - 4224*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4165293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4571*o**6 - 299*o**3 + 536*o**2 + 6345*o wrt o?\nAnswer: 548520*o**3 - 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17168 divided by -3.\nAnswer: 17168\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4 + 0 + 1 + 1 + u**3 - 1 - 2*u. Let q(r) = -r**3 + r**2 + 5*r + 7. Give 5*g(c) + 2*q(c).\nAnswer: 3*c**3 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k = 20. Suppose -5*c + k*c + 113 = 0. Let m = c + -55. What is m rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 732 = w, -17*w - 1428 = -19*w + 4*v. Suppose -6*z + 2358 = w. Calculate the highest common factor of z and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2474 - 2475. Sort -1\/11, y, -0.1741 in decreasing order.\nAnswer: -1\/11, -0.1741, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.9 * 10.\nAnswer: -1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -307?\nAnswer: 61.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1882 + 1938. What is the remainder when 277 is divided by w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -28*u**2 + 6*u**3 - u**3 - 8 + 27*u**2 + 10. Let y be m(1). What is the highest common divisor of 9 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/70)\/(8\/11150132) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 3. Calculate r(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29326 - 104282 = 2344*w for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/494)\/(23\/1311).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4572125 - -0.5?\nAnswer: -7.9572125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 903420 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -469\/2 + 232. Put 0, 0.1, q in descending order.\nAnswer: 0.1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000821363873 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -305.11 and -3.\nAnswer: 915.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z**3 + 5*z**2 - 6*z + 6. Let q(r) be the third derivative of -r**6\/15 + r**5\/15 - 5*r**4\/24 + 5*r**3\/6 - 28*r**2. Calculate -5*k(a) + 6*q(a).\nAnswer: -3*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -66*j - 9. What is the remainder when z(-1) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-14) - (-1)\/(-2). Suppose i = 3*b - 9*b + 240. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 - 15*x - 16. Let a be k(-2). Solve -47*i - 1 = -a*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1185 + 1187. Is -1\/75 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 4. Let v(w) = w**2 - 2*w - 5. Let y(o) be the first derivative of 2*o**3\/3 - 5*o**2\/2 - 11*o - 2. Give s*y(g) + 9*v(g).\nAnswer: g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 6)\/((-6)\/4*(-82)\/123). Let y = -1 - -1. Factor -1\/3*b**5 + 0 + 1\/3*b**4 + 0*b**2 + y*b**a + 0*b.\nAnswer: -b**4*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)\/(b*b\/b**(3\/2))*(b*b**(-2))**29)**(-37) assuming b is positive.\nAnswer: b**(6253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193 - 191. Suppose -b + 1356 = 3*c - 3*b, 6 = u*b. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -0.14\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.624332 at most as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1224*t - 277385. Give p(-227).\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261*a**4 - 3006*a**3 + 138*a**2 + 20*a + 20.\nAnswer: -6264*a - 18036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 20 = -2*p, p = 85*b - 84*b - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -1\/2, 9\/7, -2\/21, -2, 0.3?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 + (0 - 3) + (-8 - 0 - 3 - -9)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9 rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 76539703 = 58160297. What is d rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35574 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**2 - 3*r**3 + 4*r**3 + 99 + r + 19 - 9*r**2 to f*r + d*r**3 + h*r**2 + a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 4*l**2 - 3*l - 2. Suppose -7 = -3*g + 2. Let c be q(g). Let f be c\/4*(1 - 11). Solve f*t - r - 8 = 0, 4*t + 0*t + 2 = 5*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3\/4 + 35*t**2\/4 + 51*t + 16 = 0. What is t?\nAnswer: -4, -1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.034 + 1.966. Which is smaller: b or 1.32?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:28 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181a06 (base 16) to base 8.\nAnswer: -6015006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -98, -7, -8, 181?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2478 - -2492. Let q be ((-266)\/(-5))\/(3\/15). Calculate the greatest common divisor of q and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181489 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 329, 494, 661, 830, 1001?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -391*x. Let n(w) = -178296*w. Let s(f) = -6*n(f) + 2737*q(f). Let d be s(-1). What is d rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.7490179 - -0.04\nAnswer: -6.7090179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 25*z + 4 = 27*z, 5*q = -4*z + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.006 at least 1\/4632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 657*x - 658*x = 3, 5*f + 2*x = 12. Factor -6\/7*o + 3\/7 + 3\/7*o**f.\nAnswer: 3*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/14)*z**(-2\/87)*z)**(-4\/17) assuming z is positive.\nAnswer: z**(-4990\/10353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1240 = 18*i + 77*i - 14*i - 19*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.35412 and -9.847.\nAnswer: -9.49288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 + (0\/(-2))\/(-1) is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -234, -353, -474, -597, -722, -849?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(637) + 0)*2.\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-4 - -1))\/(3059\/6118).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10797823, -10797818, -10797813, -10797808, -10797803, -10797798?\n\"Answer: 5*f - 10797828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 27, -24 in decreasing order.\nAnswer: 27, 4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = l + 4*c, 23*c = 4*l + 25*c - 6. Suppose -u + s = -11, 3*s - s = 3*u - 34. Let b be 16 + -12 + (-2 - 0). Sort b, l, u in ascending order.\nAnswer: l, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/12 and -56\/5763.\nAnswer: 23052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - (4 - (9 - 8) - (39 + -14)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/8)*q*q**(1\/4))**(40\/3) assuming q is positive.\nAnswer: q**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i - 15*i + 8*i. Let t(p) = 6*p - p + 0*p. Give r(t(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*y + 60 - 14, 0 = 5*d + 3*y - 63. Suppose 0 = 8*n - d*n + 3724. What are the prime factors of n?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 11:31 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-85)\/(-15) + 10\/(-2). Let z(q) = -12*q**2 - 13*q. Let f = -7 + 1. Let l(y) = 2*y**2 + 2*y. What is f*z(t) + g*l(t)?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14894, -29579, -44258, -58931, -73598, -88259?\nAnswer: -102914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(252)\/sqrt(4) - sqrt(63))*5)\/((-1*sqrt(108))\/sqrt(12) - 4*(sqrt(81) - sqrt(9))).\nAnswer: 25*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109621 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51656 by -11.\nAnswer: 4696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 999 + 18\/(-2) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Suppose -5*b + 1329 = -2*l, -3*b - i*l + 533 + 254 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 97*n - 2313. What is p(-39)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 6*n**2 + n + 8. Let t be i(-6). Let g = t + 17. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(10\/(-45)). Suppose -j*p - p = -184. Let s = p - 30. Calculate the highest common factor of 112 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 28 + -14 + (-4 - -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f + 26. Calculate b(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2296, -4613, -6972, -9385, -11864, -14421, -17068, -19817?\nAnswer: -22680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1618, 1805, 2142, 2629, 3266, 4053, 4990?\n\"Answer: 75*h**2 - 38*h + 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(sqrt(45)\/sqrt(5)))\/(sqrt(22)\/(sqrt(22)\/sqrt(2))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or 893\/12?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/485 and -7\/485.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:41 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 29 = -61. Suppose -4 = -j - 1. Suppose t = 7 + j. What is the remainder when k is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Let k = -4.1 + y. Let w = -4 + 2. Which is the nearest to 2\/7? (a) w (b) 1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952380 rounded to the nearest ten thousand?\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*j + 71337 + 112735 = 1310*j for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 6*c - 9. Let y be j(-7). Let l = y - -25. Is 4 a factor of (-2)\/l - (-476)\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/209 - 26\/39*36\/11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5677 (base 10) in base 4?\nAnswer: 1120231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 33\/27) + 11\/9. Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899 less than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = b - 13 - 13, 0 = -2*y - 5*b + 15. Solve y*x = -4*w - 1, w + 0*w = -4*x + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13139946 and 90?\nAnswer: 65699730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((((-115)\/(-575))\/((-3)\/186))\/(3\/15)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11575.\nAnswer: 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -13688?\nAnswer: -1\/6844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1640, 1643, 1648, 1655, 1664, 1675?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/9)\/((-114)\/171). Let l(r) = 3*r**2 - 21*r - 13. Let p(x) = -2*x**2 + 11*x + 6. Let q(g) = -3*l(g) - 5*p(g). Calculate q(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 552317*u**2*w**2*z - 15*u**2*w**2 + u**2*w + w**2*z**4 + 2*w**2 + 4*w + 160 wrt z?\nAnswer: 552317*u**2*w**2 + 4*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - 514*a + 1027*a - 511*a + 18*a**2 - 6 to u*a**2 + r*a + s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.58 - 0.5913. What is k rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 6\/7, 1\/6, 0.03?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 881810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 93*(2\/6 + 0). Let y(w) = -31 + 34*w + f. Is y(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -25?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19253309, 19253307, 19253305, 19253303, 19253301?\n\"Answer: -2*u + 19253311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1 + (-9 + 0 + 2)*(5 - 2 - 1))*(4407*w - 2 + 2 - 4560*w).\nAnswer: 1989*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1432280019 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -15. What is the remainder when (0 - c)\/((-6)\/294) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1068560401 divided by -5\nAnswer: -1068560401\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 6. Let q be x(4). Let g be (77\/(-2))\/(q\/(-4)). Suppose -4*m + 43 = -g. Calculate the greatest common factor of 12 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-86 + 90 - (4 + 0)). Solve 2 - 29 = 5*b + v, -b - 4*v - 13 = m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9c + 25?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**2 - 11*j + 1. Let a(v) = -10*v**2 - 9*v. Let i(s) = 3*a(s) - 2*r(s). Let q(t) = t**2 + t. Determine -i(h) - 4*q(h).\nAnswer: 4*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7692960 divided by -2068\nAnswer: 3720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let q(s) = 11284*s. Calculate o(q(c)).\nAnswer: 11284*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 767822 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:20 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25357 and 0.81.\nAnswer: -25356.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.4 + -2.1. Let w = f - -13.5. Put w, 0.5, 5, -3 in decreasing order.\nAnswer: 5, 0.5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75013, -77226, -80913, -86074, -92709, -100818?\n\"Answer: -737*y**2 - 2*y - 74274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*k**2 + 41*k**2 + 27*k**2.\nAnswer: 217*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 587, 881?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157827829?\nAnswer: 37, 4265617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 4, -8, 2 in descending order.\nAnswer: 82, 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2536 and 345.4.\nAnswer: -875934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o + 16 = -2*m, -20 = -5*o. Let p be 2\/9 + (-21)\/(-27) + m. Let q(f) = 157*f**3 + 2*f**2 + f - 2. What are the prime factors of q(p)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 0 + sqrt(2299) + 0 + -4 + sqrt(19) + sqrt(38)\/sqrt(2) + -3)**2.\nAnswer: -308*sqrt(19) + 9245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -566\/11 - -4529\/66. Calculate the common denominator of y and 8\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.201 - -16?\nAnswer: 15.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1958.\nAnswer: 9790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 221338255278 and -134.\nAnswer: 221338255144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 23. Calculate the greatest common divisor of x and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.3. Let d = q - -0.4. Put d, 2, -0.3 in descending order.\nAnswer: 2, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4880, 9761, 14628, 19475, 24296?\n\"Answer: -u**3 - u**2 + 4891*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 50 - (676\/(-130) + (-1)\/(-5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by -1614.\nAnswer: 59\/1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 - -5. Let q(v) = v. Let j(o) = 15*o + 11. Let p(n) = j(n) - 6*q(n). Let x be p(-1). Which is the nearest to 2? (a) g (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3 = -9, 5*b - w - 28 = 0. Suppose 23 = 3*n - b*j + 8, 3*j + 9 = -3*n. Sort 8, n, 4 in increasing order.\nAnswer: n, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v**2 + 2*v - 8. Let t(k) = 5*k**2 - k + 4. Let j(o) = 6*i(o) + 13*t(o). Let w be j(4). What is w rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 11*g - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 482 - 486. Which is the closest to 25? (a) 0.4 (b) i (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(10\/3)\/(l\/l**0)*(l**(-2))**(4\/9) assuming l is positive.\nAnswer: l**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z. Let c(r) = 45*r**2 + r. Give 2*c(s) - 2*k(s).\nAnswer: 88*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = o - 3*c, 4*c + 65 = 197*o - 192*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376603.\nAnswer: 376603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 + 15*q + 1. Let m(x) = x**2 - 8*x - 1. Let g(t) = 2*t**3 + 33*t**2 + 19*t + 41. Let d be g(-16). Determine d*m(v) - 4*n(v).\nAnswer: v**2 - 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5776*o**3 - 3492884*o**2 + 3861879*o\/4 - 266805\/4.\nAnswer: -(o + 605)*(152*o - 21)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -646020, -1292000, -1937980?\nAnswer: -2583960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + j**3 - 4*j**3 + (-j**2 + j**2 + j**2)*(-j + 3 - 3) + (2*j**2 + j - j)*(-2*j + 6*j - 2*j) + 74*j**3 - 11*j**3 + 36*j**3 + 3*j + j**3 - 3*j.\nAnswer: 102*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53.079 + 0.079. Let u = 53.46460186 - 0.46460786. Let l = a + u. What is l rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 0*l - 3*l)*(0*l + l + 0*l) - 2*l**2 - 4*l**2 + 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7573 + -5383. What are the prime factors of z\/21 + (-6)\/21?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*k**5*s**2 + k**5 - 453*k**2*s**2 - 2*k**2*s wrt k?\nAnswer: 7440*k**2*s**2 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = 4*d + 40. Let t be (28\/6)\/(9\/(-81)*d). Solve 4*a = 0, 5 - t = 4*f - a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16*(-2)\/(-4))\/((-8)\/(-24))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 2*s + 2*s)*(-2*s**2 + 9*s**2 - 3*s**2) + 239*s**4 - 161*s**4 + 170*s**4.\nAnswer: 256*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49524.05mg in nanograms?\nAnswer: 49524050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.354 - 0.3713. Let v = 25.6827 - y. What is v rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -612*s**3 + 12*s + 126*s**3 - 9*s as k*s**2 + v + j*s + l*s**3 and give l.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18104 divided by 274.\nAnswer: -9052\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*c - 54 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-18)\/(-4))*34. Is 6\/3 + -5 - p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 80 = i, 3*i + 152 = 5*x - 0*i. Suppose -2*q + 22 = -k, q + 4*k + 3 = 5. Calculate the remainder when x is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 9 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989009083.\nAnswer: 5471, 180773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.2033 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x = -18*x - 1260 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58385024 divided by -3072896.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8814*g - 35256. Give z(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2) + 24\/3 + 210. Calculate the highest common factor of h and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + (-6 - (9 + -3)) + -8 - 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.5 + -3091172031.\nAnswer: -3091172085.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p + 1 - 24 = 29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*i - 140*i**2 + 4*i - 8*i + 6*i.\nAnswer: -140*i**2 + 5*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 7:59 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8244, 16493, 24766, 33063, 41384, 49729?\nAnswer: 58098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 8. Let y be (-3 - -4)\/((-1)\/7). Determine g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + h)*(-2*h + 2*h + 2*h**4) - 3*h**3 + 3*h**3 - 2*h**5 - 4 + 4 + 2*h**5 + (2 - 4 + 3)*(-14*h**3 - 5*h**5 + 14*h**3).\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 110 = 5*k. What is the units digit of 2\/(k\/18 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*d - 288000 = 78*d. What is d rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56478.91 millimeters to kilometers.\nAnswer: 0.05647891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u = -2*d + 10, -3*d = -15. Let j(c) be the second derivative of 5*c + 1\/4*c**2 + u - 1\/24*c**4 + 0*c**3. Factor j(o).\nAnswer: -(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.7, -2\/7, -0.4, 3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.9 - 0.9. Let x = 7 - z. Let j = 0.000028 + x. Round j to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38914 + 39127. Solve v + 214 = -61*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 8*l - 5. Suppose k = 6 + 1. Let o be m(k). Let v(a) = -a**2 + 3*a. Let s be v(2). Solve -o*q = -4*d + 14 - s, 5*d - 17 = 2*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w**18\/w*w)\/w*w)\/w)\/(w\/(w*w\/(w*(w*(w*w\/(w*w\/((w*w**(5\/9))\/w*w))*w)\/w)\/w))))\/((w\/(w**(1\/15)\/w))\/(w**6*w)))**(2\/15) assuming w is positive.\nAnswer: w**(1846\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*m = 47, -12 = -7*r + 4*r + 3*m. Suppose 8 = 5*y - r. Solve y*p = 8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 20 = -4*j + 3*i, -j = 3*i - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -3, 5, 11, -4, 3, 120.\nAnswer: -4, -3, 3, 5, 11, 23, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - n - 186*n**2 + 189*n**2. Let q(b) = -9*b**2. What is q(d(h))?\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -19, -423, 5, -4, 1 in decreasing order.\nAnswer: 5, 1, -1, -3, -4, -19, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16\/3 + -55\/12. Let g = -0.71 - 0.29. Let f = -10.9 + 11. What is the closest to g in -4, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1264326136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) -0.1 (c) -4\/131 (d) -2\/7 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-2*o - 3*o - o) + 136*o - 22*o - 66*o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 126\/10 + 3*4\/30. Let a(g) = 8 - 5 - 8*g + 34*g**2 + y - 30*g**2. Does 39 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-40)*-4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 = 26. Let n be (-6)\/3*(-3)\/a. Let x be 3 - ((n - -1) + 0). What is the highest common factor of x and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 2*f**2 - 1. Let n be o(-2). Let c be n\/(-9) + 4\/12. Solve -3*i + s - 13 = 0, 0*s - 3 = -i + c*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f = -15. Let n(o) = -3*o - 3. Suppose -3*z = -h + 20, -16*z = -8*h - 13*z + 118. Let a(m) = -8*m - 8. Calculate f*a(x) + h*n(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 274915699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 10. Let t(v) = -4*v + 9. Let l(h) = 5*k(h) - 4*t(h). Let b be l(-10). Solve 5*u - b*u + 5*g + 15 = 0, -3*u + 3*g + 9 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85311 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:10 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 6*z - 3*y + 41183, -y + 20587 = 2*z. What are the prime factors of z?\nAnswer: 10289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -6. Let k = -3 - g. Let f = -32.6 + 33. What is the closest to -8 in 0.3, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -6 - 400\/(-25). Solve o + 2*x + 5 = -4*o, u = -2*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k - 162. Suppose -2*c = -5*q - 21, 3*c - 3*q - 35 = -c. Calculate the least common multiple of w(74) and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-9)*a)\/(a\/a**(2\/13)))**(12\/17) assuming a is positive.\nAnswer: a**(-1068\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -32?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535427451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38564 + -13715. List the prime factors of o.\nAnswer: 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1564*h**2*q**2 - 4*h**2*q + h*q - 126*h wrt q?\nAnswer: -3128*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 + 4\/22 + (-18)\/(-22) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165109 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4092006317 to the nearest integer?\nAnswer: 63969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161961 divided by 3.\nAnswer: -53987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 3*m**4 - 2*m**2)*(1 - 3 + 3 - 123 + 37 + 31 + (1 - 4 + 1)*(0 + 3 - 1)).\nAnswer: -174*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 + q + 4. Let j be b(0). Suppose j*v - 9 = -c, v - 2*v = c - 21. Differentiate 25*m - c*m - 8 - 3*m**4 with respect to m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 15) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 22. Let h = -6984.6 - -6986.6. Put a, h, 0.05 in increasing order.\nAnswer: 0.05, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46588 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53552?\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 3*s**2 + 2*s**2 + (s**2 + 16*s**2 - 7*s**2)*(1 + 0 + 1) + 4*s**2 - 7*s**2 - s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21129 divided by -4.\nAnswer: 21129\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p + 72. Let n be g(-15). Let s = n - 264. Is 72\/17 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 233404.4 in 3, 5, 0.3, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1157 = 130*g - 533 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 9, -5*t - 10 - 35 = -5*v. Let s(x) be the third derivative of -x**6\/120 + 2*x**5\/15 - 5*x**4\/24 - 5*x**3\/6 - 17*x**2. Is s(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c = -6. Suppose -3*y - 3 = 4*l, c = 2*y - 4*y - 4*l. What is the second derivative of -y*g**5 + 3 + 2*g - 2*g**5 - 3 wrt g?\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*g - 5. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.166554 - -0.152626. What is j rounded to three dps?\nAnswer: 1.319","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ainzkaavannznvzaka. Give prob of picking 1 v, 2 z, and 1 k.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 378201763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 38. Suppose -3*m + 2*u + 3*u = -14, -2*m + 4*u = -j. Let r(s) = -s**3 - s**2 + 3*s + 2. Give r(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**7\/840 - q**6\/180 + q**3\/3 - 2*q. Let p(g) be the second derivative of y(g). Find the third derivative of p(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4996047 decades to centuries.\nAnswer: 0.04996047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**2 + 41*z**2 - 15*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 4*w - 30, -4*p + 2*w = 1 - 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/7 + 6841868*x\/7 = 0.\nAnswer: -3420934, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1574509 to 4 decimal places.\nAnswer: 0.1575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 - (2 - 37 - (37 - (35 + 15)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*l + 50, -5*f - 25 = -2*l - 2. Solve 4*w + 11 = -l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/39? (a) -29\/3 (b) 340 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5.5 (c) -2 (d) -5 (e) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -649, -975, -1301, -1627, -1953?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -6.38 (c) 6 (d) 43 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10471*o + 77. Let t(j) = 5228520*j + 38445. Let h(y) = 7*t(y) - 3495*z(y). Let x(b) = -b**2. Calculate x(h(c)).\nAnswer: -12215025*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 245 - 267920113972.\nAnswer: -267920113727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**3 + 6*z**2 - 13*z. Let o(t) = 3*t**3 + 2*t**2 - 7*t. What is 2*c(p) - 5*o(p)?\nAnswer: -p**3 + 2*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -359 + 361. Put f, 2\/11, 1, -1\/3 in ascending order.\nAnswer: -1\/3, 2\/11, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11014323442 (base 5) in base 11?\nAnswer: -6778531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/2 - ((-75)\/(-9) - 2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240579 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 112?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -161*m**5\/20 + 4*m**2 - 438*m. Find the first derivative of u(x) wrt x.\nAnswer: -483*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 23 + -42 + (-50 - 3).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 12 + 26 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.6 times 1?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -x - 2*n - 3*n, -4*x + 5*n = -191. Let b = x + -54. Solve b*q = 3*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -142 and 0.6?\nAnswer: -85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -52 - (25 + -28).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (4 + 6 - 22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o - 44. Let k(u) = -3*u + 25. Let g(q) = -7*k(q) - 4*v(q). Let m(n) = n - 1. Suppose 0*i + 1 = 5*i + b, -2*b - 7 = i. What is i*m(f) + g(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25143 + 35322. List the prime factors of k.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4850 is divided by 964.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 4 (c) 5 (d) -589 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 - 94. Suppose -l*s + c + 42 = 0, 0*s - 3 = s - 4*c. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61707 = -97*r + 62386 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**5 - 10040*v**4\/3 + 469632*v**3 - 822880*v**2 - 618272*v\/3 = 0.\nAnswer: -2\/9, 0, 2, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*j + 34 = 9*j, -4*x = -4*j + 72. Let b be (1*x\/(-35))\/((-15)\/(-25)). Suppose -16\/3*m + 32\/3 + b*m**2 = 0. What is m?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((137\/(61650\/(-810)))\/(117\/6))\/(2\/15)?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.36 from -2137743297152.\nAnswer: -2137743297151.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 7:03 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/15696 and 37\/18?\nAnswer: 15696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736788 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1421*k**2 - 58*k + 29. Let n(u) = -142*u**2 + 6*u - 3. Give 3*f(l) + 29*n(l).\nAnswer: 145*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:37 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m - 8. Let r = -8 - -12. Suppose 0 = -r*t + 2*t. Determine l(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w + 3*w**3 + w**3 - 2*w**3 as b*w + z + r*w**2 + m*w**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5871 and 87120387.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.081091 millimeters to micrometers.\nAnswer: 5081.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*-1*22\/33. Let u be ((-32)\/88)\/((-4)\/(-88)*s). Let 2\/11*b**u + 13\/11*b + 6\/11 = 0. Calculate b.\nAnswer: -6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 34*f**2 + 48*f + 453. Give c(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, 15, 35, 61, 93?\n\"Answer: 3*i**2 + 5*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1064 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqididdqqddq. Give prob of sequence qi.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012 - 231?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38853.15651 rounded to 0 decimal places?\nAnswer: 38853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 - 2608*n\/3 + 850208.\nAnswer: 2*(n - 1956)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.04 (c) 3\/4 (d) -2466 (e) -19 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1807.36.\nAnswer: 722.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107, -223, -329, -431, -535, -647?\n\"Answer: -b**3 + 11*b**2 - 142*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3283526048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3562.\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175582)\/7590 + 2\/35*546\/234.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let k(l) be the third derivative of 0 + l + 1\/2*l**4 + 0*l**3 - 43*l**2. What is i(k(j))?\nAnswer: -288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**4\/12 - v**3\/6 - v**2\/2 + 6*v. Calculate f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 9. Let u be (-385)\/(-15) + 2\/(-3). Suppose -75 = -h*w - u. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 11*c = 8*c + 605, 0 = -10*z - 5*c + 1525. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 480, 99, 1, -3.\nAnswer: -4, -3, 1, 99, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*c - 764*c + 2219*c.\nAnswer: 1193*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 15*p + 2. Let o = p - -23. Find the first derivative of 9 + 22*d**3 + 1 + 12*d**3 - o*d**3 wrt d.\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m - 285 + 120 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 3*k + 1343. Is h(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**4*r**2 + g**4*r + 9*g**4 + 2*g**2*r**2 + 10106*g**2*r wrt g.\nAnswer: -168*g*r**2 + 24*g*r + 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(2\/9)*s))**(-12))**(-31))**(5\/4) assuming s is positive.\nAnswer: s**(-1085\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 1 - 1 + (-2*u + 2 - 2)*(u - 3 + 3) + 2*u**2 + u**2 - u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/2 - 11637*v\/2 + 15641865 = 0.\nAnswer: 4215, 7422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-11 + 0) - -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118153 is divided by 19690.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -88096.\nAnswer: -7928.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 489\/8, -0.4, 4, -6, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 10*c)*(2 - 9 + 3).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 - 2202121011?\nAnswer: -2202122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -426.6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -202047.02 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-6)\/(-7)*75\/(-150).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3275 and 1081405.\nAnswer: 5407025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 35 = -9*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d + 3. Let c be (-1)\/(2\/(1*-10)). Let p be g(c). Let y = -25 + p. Calculate the least common multiple of 20 and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -34.8. Let x = 0.2 + k. Let h = 2.3 - 2. Which is the smallest value? (a) x (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4*(-24)\/(-9). Suppose -2*a + 6 = c. Solve a*l = -4, t - l + 4 - 11 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 16 - (-53 - -2 - -1)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-19)\/(-494)*26\/1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10*(-15)\/(-3). Suppose 4*w - 43 = -q, 4*w = l*q - 1 - 25. Suppose 2*r - q = -d, 5*r + 5*d = 66 + 4. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 11*z - 8. Let b be u(-5). Let t be (-4)\/(-12) + 2452\/(-12). Let r be t\/9*b\/2. Is r bigger than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 7650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*m + 3 - 428*m - 6 + 1179*m + 795*m.\nAnswer: 1825*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 968062903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -35*d**4\/24 + d**2. Suppose p - 2*u + 5 = 0, -5*u = 5*p - 9*u + 19. Does 21 divide a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121 + 227717?\nAnswer: 227838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 + 0) - -2. Let p be ((-6)\/(-4))\/(j\/42). Let b = 12 + -7. Solve -b*u + 15 = 4*d - p, u - d = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j**2*t**2 - 6*j**2 - 23927*j*t**2 + t**2 - 5840*t wrt t?\nAnswer: 14*j**2 - 47854*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 4)*(-5*l + 4*l + 4*l) - 11*l - 32*l - 6*l to the form a + h*l and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23277650587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4, -25 in decreasing order.\nAnswer: -1\/4, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6790 - 54798 = 5*v, -3*v + 3*f - 28812 = 0. What is v rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 9:53 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + 0.24. Let k = 31\/205 + 2\/41. What is the third biggest value in h, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 70 = 2*t, o + t = -3*t + 30. Suppose -4*l + o = 150. Let b = -23 - l. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**2 + 4*i - 2. Let q = 2493 - 2495. Let s(m) = 6*m**2 - 5*m + 2. What is q*s(h) - 3*p(h)?\nAnswer: 6*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 6. Let p = 331.4006 + 0.0994. Let u = p - 332. Which is the second smallest value? (a) j (b) 0.01 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0*m**2 - 7 + 9*m**2 + 2*m**2 + 6*m. Let c(l) be the first derivative of l**2\/2 - l + 12. Let x(z) = 6*c(z) - v(z). Calculate x(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1260)\/33 + 1 + (-4)\/(-22). Let w = -16 - d. Suppose 5*r - 7 = -6*n + 7*n, 5*n - w = -3*r. Solve 6*v - r*v = -20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/3 + 2291*h**4\/3 + 259708*h**3 - 4729648*h**2\/3 + 9495872*h\/3 - 2114256 = 0. What is h?\nAnswer: -306, 2, 2591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 1 + 1)*(2 - 2 - 2*j) + 7*j - 3*j**2 - 15846 + 15845 + 16*j.\nAnswer: j**2 + 23*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 1093*b**5\/2 + 1627*b**4\/4 - b**2\/2 - 2*b + 1723. Find the third derivative of m(w) wrt w.\nAnswer: 65580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24386 is divided by 2438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 52 + -120 + 66?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 1)*40\/(-16). Suppose j*v - 163 = 27. What is the tens digit of (4 - 7) + 1 + v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - ab369?\nAnswer: -ab366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a09917 - 0?\nAnswer: -5a09917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**2. Let c(i) = -55637*i**2 + 4. What is c(j(o))?\nAnswer: -4506597*o**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -41451, -41450, -41449?\nAnswer: -41448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + 17 + -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -81672\/139 >= -587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*b - 31, -19 = -x + 5*b + 9. Let g(z) = 6*z - 2. Let d be g(x). Suppose -5*c + d = -c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 8378*t + 1319664.\nAnswer: -2*(t - 152)*(t + 4341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -z + 121. Solve -9*i + 16 = -z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11052 - -5?\nAnswer: -11045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - 2*sqrt(147))\/sqrt(7)*-6)\/(2*(sqrt(7) - (sqrt(448)*2 + sqrt(7) - sqrt(7)) - sqrt(7))).\nAnswer: -3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 765 and 135?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 39 = 7*i. Let a be (-20900)\/75*6\/i. Is 418 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 15, -32, -117, -252, -449?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + (sqrt(153) - -4*sqrt(153) - sqrt(153)))*-1 - sqrt(153))\/((sqrt(72)*-2)\/sqrt(8))*-1)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**2 + 5810*y**3 - 2904*y**3 - 2907*y**3 - 12*y**2 + 16*y - 76 - 17*y**2. Determine x(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3021122114304 - -2?\nAnswer: -3021122114302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1248)\/30 + 4\/(-10). Let s = 36 + o. Let v be 2\/(4\/(s + 2)) - -137. Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/7 - -1) + (-7780)\/(-13615). Solve -y*o = v + 6, -3*o - 7 = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1226704.96 - -44\nAnswer: -1226660.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:16 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108917 + -108917. Let c = 23 + -20.02. Let l = c + 0.02. What is the third biggest value in l, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 + (-23)\/(-4). Let i(x) = z*x + 3*x**2 + 6 - 4*x - 3. List the prime factors of i(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151449704 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*z**4 + 900*z**3 + 8346*z**2 + 14100*z + 6627 = 0. What is z?\nAnswer: -47\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + (5 + sqrt(931)*-1 + (-2*sqrt(931) - sqrt(931)) + 0 - (sqrt(931) + 0 + sqrt(931) + -3 - (sqrt(931) - (-1 + sqrt(931) + sqrt(931)))*-3))*-4)**2.\nAnswer: -2184*sqrt(19) + 134233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z + 8. Let w(l) = 6*l - 35. Let f be w(6). Let t be b(f). Calculate the highest common factor of 57 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-61)\/(1647\/(-1836630)) - 2\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7479.65+-0.01\nAnswer: -7479.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 27 = 5*i, 54*h = -0*i - 2*i + 57*h + 15 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 + 469080*j + 469085 = 0 for j.\nAnswer: -1, 93817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 5:00 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 + 14*r**3 - 16*r**3 + 9 - 7*r + 3*r**3. Let p be i(-8). Solve 3*a - p = -16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2111635 (base 9) to base 11\nAnswer: -701876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*o*v**3 + 2*o*v + 8*o - 6885*v**3 + 849404*v wrt v.\nAnswer: -426*o*v - 41310*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 31036?\nAnswer: -31023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90850213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let t(p) = -p**3 + 7*p**2 + 10*p - 11. Let f be t(8). Let l(w) = -11 - f*w + 11. Calculate l(j(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 914243 a multiple of 704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20285 is divided by 2534?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 553*o - 12651. Let q be b(22). Which is bigger: q or -3\/443?\nAnswer: -3\/443","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/10257 and 151\/30.\nAnswer: 102570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 g when three letters picked without replacement from {o: 1, n: 6, g: 2, i: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -6 (c) -4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 14*g - 12*g + 1 = 0, -19 = -5*k - 2*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 148, 144, 140?\n\"Answer: -4*n + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 - 1 = c, -3*y - 5*c = -26. Suppose 4*h - 1 = 3, -y*n = 4*h - 20. Solve n = j + j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/109757 or -1?\nAnswer: -1\/109757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 208507*x**2 + 208500*x**2 + 2*x**4 + 3*x - 417005*x**2 - 2 + 13*x**3 in the form a*x + g*x**3 + i + m*x**4 + p*x**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 12*d + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Suppose 5*d + 35 = 5*p, -3*p - 2*d - 2 = 2. Let h(v) = -2*v**3 - v**2 - v - 1. Let t be h(-1). Solve p = -3*o - t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384659539 is divided by 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40360431*w**4 - 54621844*w.\nAnswer: 484325172*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.105 - -2.105. Let h be (1 - 0)*(-4)\/(-442). Let o = h + -243\/2431. Which is greater: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 - 2\/(-3). Let l = 3 - p. Calculate the remainder when 7 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2) - (-5189)\/(-5187). Let i = -200504429 - -346672119126\/1729. Let d = r - i. Calculate the common denominator of d and -31\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -3*x**5\/20 + 27*x**4\/16 - 2*x**3 + 16. Factor g(w).\nAnswer: -3*w**2*(w - 8)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 62957668497\nAnswer: -62957668476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-258060)\/(-32430) + (-2)\/(-47) - -14\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*9\/117 - (-8 - (-18)\/117). Suppose -45 = -5*b + 155. Calculate the greatest common divisor of t and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwcggwcjbjgbjdwd. Give prob of sequence ggcc.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 2. Suppose -5 = -5*a - 5*s - 0, 6 = -4*a - 2*s. Give x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107588*o**2 - 13283*o wrt o.\nAnswer: -215176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 405*v - 803*v + 396*v)*(32 + 39 - 87).\nAnswer: 32*v - 288","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.4. Let s = 38922 + -38925. What is the biggest value in 0, b, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792*l = -495*l + 20592 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 26. Suppose 0*p = -2*p + 86. What are the prime factors of p - z*(-2 + -1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-36)*4 + (-2)\/(-9). What is the nearest to n in -2, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/2167578 and -121\/20.\nAnswer: 21675780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -507 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 7*k - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u + 542 = -377 - 863. Solve u*f - 4*c = 22*f + 10, -6 = -3*f + c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699248389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or -100?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.038614242 and 2535.5?\nAnswer: 2534.461385758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 11*g + 3 = -12*g, 4*g + 4 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -14. What is the units digit of 351\/12 - x\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {q: 6, z: 4, k: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**4 - 301*z**3 - 2*z**2 - 268*z + 91948123.\nAnswer: -4*z**3 - 903*z**2 - 4*z - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 1 + (-1832)\/(6 - 10)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + -8 - (-505 - -510).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 5. Determine y(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 999085*j**4 + 730018.\nAnswer: 3996340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-14) + (-6)\/(-21). Let d(f) = -f. Let i(s) = -s - 2. Let a(u) = -3. Let p(y) = 2*a(y) - 3*i(y). Determine q*p(v) + 5*d(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (0 + -17))*3. Let y = -37 + u. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*f - 25, -3*q = -5*f + 11 + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38297825 to the power of 1\/2, to the nearest integer?\nAnswer: 6189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(2\/7)*b))**(-13\/6)*b**(-7)\/(b\/(b**(1\/7)*b*b)))**(-27\/5))**(-22) assuming b is positive.\nAnswer: b**(-4356\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 116, 118, 120, 122, 124?\n\"Answer: 2*z + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20692 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: Let u = 13463.9 + -12672. Round u to the nearest 10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 6*u**2 - 7*u - 3. Let m be p(7). Let f = 0 - m. Suppose 149 = f*j - 118. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - x - 122, 3*x = 5*x - 4. Suppose -235 = -4*v - c. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 89*l + 92. Let a be y(-44). Calculate the greatest common factor of a and 1200.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -7*f + 8. Let d(s) = -1. Let o(k) = 3*k**2 - 3*k + 5. Let q(c) = 2*d(c) + o(c). Does 7 divide q(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**5\/5 + 399*c**4\/4 - 400*c**3\/3 + 7460. Suppose h(d) = 0. Calculate d.\nAnswer: -400, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177 and 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*y**2\/13 + 41984286*y\/13 - 10496072\/13 = 0. Calculate y.\nAnswer: -5248036, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -93079 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -133221 (base 4) in base 9?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**2 - 7*d + 20. Give c(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9776 - 33701 = -25*t. Round t to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1435 - -1450. Suppose -5*x = 20 - 5. Calculate the remainder when x - 0 - (-1350)\/9 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 875*p**2*z**3 - p**2*z + 24*p*z**3 - 431*p*z**2 - p - 2*z**2 wrt z.\nAnswer: 5250*p**2 + 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*-3 - 2*(sqrt(99))**2.\nAnswer: -198 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3574735ng to grams.\nAnswer: 0.0000000003574735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12111120 + 2?\nAnswer: 12111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.007526 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + 4*k**5 + 2*k**5 + (-2*k**2 - k**2 + 5*k**2)*(3*k - 3*k + 2*k**3) + (2*k - 3*k + 6*k)*(k - 2*k**4 - k) + (-2*k**5 + 3*k**5 + k**5)*(3 - 2 + 0).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -10 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 9*v - 3*t - 10, -3*v = 14*t - 65 + 150 - 91 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 13543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/2)\/(r\/r**(-1))*(r\/(r**(2\/7)*r))**(-7) assuming r is positive.\nAnswer: sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 722759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1750 (b) 0.04 (c) 1 (d) 498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z - 1. Let y(i) = 10*i**2 + 9*i - 9. Suppose 6 = 3*b + 3. Let u = b + -1. Suppose -2*n - 4 + 8 = u. What is n*y(r) - 18*l(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103011031 (base 5) in base 10?\nAnswer: 438266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + i - 16 + 7*i)*(3*i - 2*i + 2*i) + 2*i + i**2 - 2*i.\nAnswer: 25*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5*g = 10. Let t(k) = k**2 - 7*k + 7. Is t(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*q**3*y + 3174*f**3*q**2*y**2 + 162*f*q*y**2 - 4*q**3*y**2 + q**3 - 2*q*y**2 wrt f?\nAnswer: 6*f*q**3*y + 19044*f*q**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1223021\/10 at least as big as -122301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988, -1975, -2962, -3949, -4936, -5923?\nAnswer: -6910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2086 and 72414?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 634709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 141.975 - -0.025. Let r = 70 - f. Let i = r + 71.9921. Round i to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 21934?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let m be p(3). Suppose 3*j - 18 = -m*a, -77 = -5*a + 2*j - 12. Calculate the greatest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 1:18 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(19)) - sqrt(19)) + (sqrt(133)\/sqrt(7) + -3)**2 + ((sqrt(2299) - -1*(-1 + sqrt(2299)))*2)**2.\nAnswer: -177*sqrt(19) + 36810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5000*i**3 + 4*i**2 + 0*i**2 + 4999*i**3 - 4*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (2 - (54 - 134)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71056969949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -400*w - 5680. Let p(k) = k - 19. Let v(j) = 600*p(j) - 2*s(j). Find the first derivative of v(o) wrt o.\nAnswer: 1400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = 18. Let z = l + -5. Let b be (-1)\/((z - 3)*1). Let h(g) = g**3 - g**2 - g - 1. Let t(d) = 2*d**3 - 3*d**2 - 3*d - 3. Give b*t(u) + 3*h(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120.9 - 111. Let p = w + -10. Let z = -0.2 - -0.27. Which is greater: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -z + 4*d, -79*z + 84*z + 4*d - 22 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - d + 3*v + 12 = 0, -3*d - 2*v = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*u + 5, -5*q + 0*q = -0*u - 3*u - 65 - 60 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*y**3 + 307*y**3 - 866*y**3.\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -v - 3, -16 = -m - 3*v - 1. Solve 5*l = m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usuuusuusus. What is prob of picking 2 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1260754 and -45\/229228.\nAnswer: 2521508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 2. Let v(z) = 5*z + 11. Suppose 31 = 3*h + 7. Suppose 2*q + 4*t + h = 0, -2*q + 0*t - 5*t - 9 = 0. Calculate q*v(w) + 11*s(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 11:57 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554683.\nAnswer: 29, 31, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**3 + 7*z**3 + 3*z**4 - 2 + 2 - z**4 + (2*z**3 - 3*z**3 - z**3)*(-1 + z + 1) - z**4 + 0*z**4 - z**4.\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**6)**47)**(-34\/3) assuming t is positive.\nAnswer: t**(7990\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 10:10 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/18 and -11\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:23 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(4\/((-16)\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(304) + 1.\nAnswer: 1 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6724\/14)\/((-180)\/(-3150)).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6571971 and 4032.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2899 rounded to three decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 9918\/310 + (917 - 960).\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -20. Suppose l = 5*j - 140 - 50. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.103 times 0.3062788?\nAnswer: -0.0315467164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.92 - 4.08. Which is the third smallest value? (a) 1\/4 (b) p (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/12 - (-405)\/108. Factor 1\/4*j + 0 + 13\/8*j**o.\nAnswer: j*(13*j + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 6*v**2 - 262*v\/7 + 66.\nAnswer: -2*(v - 11)*(v - 7)*(v - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 3*t - 4. Let a(j) = 5*j**2 - 2*j + 1. Let y be a(1). Let k(r) = -r**2 - r + y + 0 - 4 - 1. What is 3*k(f) - p(f)?\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 22*i**2 + 39*i - 53. Calculate l(-24).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 10:50 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + (-30)\/(-12) + 8)\/((-4)\/(-22312))?\nAnswer: 7, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 9. Let a be n(-7). Let d(t) = 2*t**2 - 16*t - 6. Let k(q) = -19494*q**2 + 19495*q**2 - 2*q - 2 - 3*q. Calculate a*d(s) + 7*k(s).\nAnswer: 3*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 8:53 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 - 255 - g**3 - 3*g**2 - 2*g - g**4 - g**3 + 5 to the form m*g**2 + h*g**3 + c*g**4 + q*g + k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -50*q**5\/3 + 6260*q**4\/3 - 230168*q**3\/3 + 2008048*q**2\/3 + 1718528*q\/3 + 351232\/3 = 0?\nAnswer: -2\/5, 14, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*k = -4 - 14, -2*j + 3*k = -11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 13, -4, -2.\nAnswer: -4, -2, 13, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -207581 divided by -1\nAnswer: 207581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = 3*t, -9*t - 12 = -6*t + 4*s. Let p = -160 - -159.7. Which is the nearest to -2\/7? (a) p (b) t (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - d + 2*d)*(1 - 1 + 1) + (-1 + 1 - d)*(66 + 11 + 161) + 34*d + 53*d + 14*d to the form c*d + u and give c.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 1. Let b be c(-2). Suppose -2*v + 798 = 4*h - 5*v, -2*h + b*v + 396 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1810 = 5*l, -i + 268 = l - 171. Solve -7*g = i - 382 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 43. Let g(u) = -7*u + 2*u + b*u. Let f(o) = 20*o. What is g(f(s))?\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let r = 22 - 13. Let v be 2*(-1 - -3) - r. Let t(j) = 7*j**2 - 2*j. Let b(m) = -14*m**2 + 5*m. Let p(a) = v*t(a) - 2*b(a). Calculate k(p(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 3*z - 1 - z**2 + 4 + 1. Let j be r(-5). Let w(i) be the third derivative of i**4\/24 - 5*i**3\/6 - 2*i**2. What is w(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 11:15 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -13*u - 4. Determine f(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrririirqirqriirrrzi. Give prob of picking 1 r and 1 q.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + 0*t**4 + t**4 - t**2 - 26*t**3 + 5 + 2*t + 25*t**3 as i + b*t**4 + v*t + u*t**3 + j*t**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 (base 11) in base 9?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 31026534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, 1, -0.0362 in descending order.\nAnswer: 1, -0.0362, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 52943 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-343 - 2007*f**2 + 170 + 173)*(3*f - f - 3*f) in the form o*f**3 + q*f**2 + v*f + h and give o.\nAnswer: 2007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -65653 less than -59086?\nAnswer: 6567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by 2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -4 + 31 + -30.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19263062243710 and 7.\nAnswer: 19263062243717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/(3920\/(-3962)) - -15 and 95\/15144.\nAnswer: 75720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -73 + 3*p + 3*p + 208*p**3 - 70 + 144 - 6*p**2. Is y(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2544252.4541074 from 6.\nAnswer: 2544258.4541074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/2 + 6430*w**3 - 141373*w**2\/2 + 218445*w - 154188 = 0. Calculate w.\nAnswer: 1, 4, 6, 12849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1295783*x - 23324098. Give q(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 9*s**2 - 28*s. Let g(i) = i**3 + 2*i**2 - i. Calculate b(v) + 5*g(v).\nAnswer: 2*v**3 + v**2 - 33*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 + 10\/6. Let y(h) = -h**2 - 16*h + 5. Let i be y(-16). Find the first derivative of -x - v - 3*x + i wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185021681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 454753\nAnswer: 1\/454753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 m when four letters picked without replacement from mdmmdmmtmtmtmtmm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20857463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 274*w**2 - 15851*w - 456. Determine n(191).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 558019*w**2. Let r(s) = 29*s. Calculate r(y(i)).\nAnswer: 16182551*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 30 = -7*g. Let n(z) = z + 7. What is the units digit of n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38976 and 192?\nAnswer: 38976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18612 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + (-962)\/39)\/((6 + -12)\/(-18))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 - 7431*n + 14868.\nAnswer: -3*(n - 2)*(n + 4956)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -5*k - 2*m, -2*k + 3*m = -0*k - 41. Suppose 5*x + k = 2*t, 0*x = -2*t - 4*x + 16. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032460861 to the power of 1\/3, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -353 (base 7) to base 11\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1081 - -180. List the prime factors of n.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 25*j**3 + 3*j - 5. Let d = -22 - -38. Let z be ((-9)\/(-12))\/(6\/d). Is f(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 7}. Give prob of picking 3 n and 1 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, 0.07, -0.0013, -0.4, 0.2?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 + 112*w - 186. Give y(36).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(3) + 0) + -1.\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j - j**2 - 2*j**2 - 2 + 0*j**2 - 2 + 11*j in the form t*j + m + p*j**2 and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 2:51 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-135))\/((-3)\/18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729455\/4 smaller than 932365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 135 - 39. What is the greatest common divisor of n and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 0.2 (b) -4\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -286\/1523 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6278390 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*c**3)*(-2*c + 3*c - 3*c + (-14*c + 31*c + 15*c)*(12 + 7 + 3)).\nAnswer: -1404*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 232332732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**2 + 9*s**2 + 9*s**2 + 6*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9659.86 centuries?\nAnswer: 965986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Suppose -4*c = 2*u - 8 - 6, 3*c - 9 = -3*u. Let z be 10 + (-6)\/(-2 + c). Let a(i) = -7*i + z*i - 2*i**2. Calculate a(k(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.9 - 57. What is the biggest value in m, -6, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 21\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*a - 213, -4*k + 5*a = -5*k + 61. Suppose -b + 88*b = 25*b + 5022. Calculate the remainder when b is divided by k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*q - 2 - 58*q + 2*q**4 - 2*q**3 - 3*q**2 + 114*q as t*q**3 + m + j*q + l*q**2 + n*q**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -434412 (base 11) to base 9\nAnswer: -1266823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 112\/(-12) + (14 - 8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/18 + 660\/54. Let y = v - 8. What is the third smallest value in y, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -52, -94, -136, -178?\n\"Answer: -42*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 - -42. Let t = l - -74. Calculate the remainder when 104 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((4 - 2) + (-15 - -8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 15 = 4*d. Suppose -5*p = -5*g - 300, -69 = 4*p + 3*g - 323. Calculate the remainder when p is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k**4 + 4*k**3 + 8*k**2.\nAnswer: -4*k**2*(k - 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.19871, 0.1, -1 in decreasing order.\nAnswer: 0.1, -1, -9.19871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124.5 - 219. Let y = o - -3.5. Which is smaller: 1\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42975 - -43019. Solve g*j + 161 = 293 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*c = 182*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4523, -4522, -4521, -4520, -4519?\n\"Answer: c - 4524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11.6 (b) -5 (c) 5\/3 (d) -124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 26 = 86. Let a be (-6)\/8*(g + -51). Calculate the greatest common divisor of a and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 777894 by -6.\nAnswer: -129649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67, -261, -587, -1045, -1635, -2357?\n\"Answer: -66*u**2 + 4*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k**5 - 725*k**4 + 3105*k**3 - 3055*k**2 - 355*k + 1020 = 0.\nAnswer: -1\/2, 1, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3 + 3344*b**2 = 0.\nAnswer: -836, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 19*i + 6. Let c be u(19). What is the greatest common divisor of c and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -71, -109, -145, -179?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19744 = -12*f - 20*f. List the prime factors of f.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(-15)*h*h)\/(h\/(h*h**(1\/15)*h*h)*h))**(-2\/31) assuming h is positive.\nAnswer: h**(268\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*d - 3 = 0, 5*d + 15 = 4*k - 6. Let w be (28\/(-4) + 0)\/(-1). Suppose -3*z + w = -17. What is the smallest common multiple of z and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -47, 35, 3 in increasing order.\nAnswer: -47, -1, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, 3, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (158221\/14)\/((-12)\/9). Let l = n + 8464. Calculate the common denominator of l and (1\/6*-2)\/(4\/130).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from splslllllpllll. What is prob of sequence spsp?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 321*b + 2539. Calculate n(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4844, -9686, -14532, -19382, -24236?\nAnswer: -29094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 - 0.09. Which is the nearest to 2\/5? (a) -3\/5 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 3 + 2, -k - 14 = 2*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446, -892, -1338?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 988 (b) -3\/4 (c) 1\/98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, o: 2, u: 7}. Give prob of picking 1 u and 1 a.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3270 - 3270 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1322, -1312, -1288, -1244, -1174?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 1967.\nAnswer: -1968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*r + 447*r - 210*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 2352?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y - 12. Suppose -5*x - 285 = -5*p, -5*p + 69 = -y*p - 4*x. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/(-108)*((-2)\/(-4) + -1). Solve m*n - 1\/3*n**3 - 1\/3*n**2 + 1\/3 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 10 + 34 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r - 2. Let g be j(-2). Suppose -g*a + 352 = -4*a - 4*n, -357 = -4*a - n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13002, -25633, -38264, -50895, -63526, -76157?\n\"Answer: -12631*b - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 800 = 4*j - 2*r, 0 = 5*j + r - 1016. Suppose -2*k = -5*k + j. Suppose -4*p + k + 60 = 0. Calculate the least common multiple of p and 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31391 + 14760. Let l = 9331 + p. What is l rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-12)*(20 + -40). Let s = 148.03 - 148. Which is the closest to 1\/2? (a) 0.5 (b) y (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.102 + -12.5. Let w = 0 + 0.012. Let r = c - w. What is r rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24 and 295.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 9.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 28684*g**2. Let r(d) = -3*d**2 + 126*d - 56. Let w(p) = -p**2 + 36*p - 16. Let s(c) = 4*r(c) - 14*w(c). Calculate s(o(q)).\nAnswer: 1645543712*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.52 to 0 decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*s**4 - 2*j*s**2*w - 4*j*s*w + j - 163*s**2*w + 29*s*w wrt s?\nAnswer: 12*j*s**2 - 4*j*w - 326*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = 3*q, -q - 6*h = -3*h - 6. Let u = 15 + -11. Solve g = u*m + 1, -q*m + 28 = 2*g + 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4504 and 4184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 10*z - 7. Let j(b) = 2*b**2 - 21*b + 15. Let p(r) = -2*j(r) - 5*u(r). Let o be p(8). Suppose 0 = t - 20 + o. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 103. Suppose x - 18 = -4*n, -l*x + 1 = -0*x + n. Suppose -26 = -3*i + 4*s, -5*i + 14 = -2*s - 6. Is i != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 7*v - 11. Let b be i(8). Find the common denominator of b + 1 - 979\/330 and -57\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 703726333\/3 + -979587072469\/4176. Let n = -2\/261 + v. What is the common denominator of 113\/18 and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0.5, -1, 1.5, 97177, 0 in increasing order.\nAnswer: -23, -1, 0, 0.5, 1.5, 97177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 71. Let m = 37 - y. What is the first derivative of 0*x**3 - 5 + 2*x**3 - m*x**3 + 12*x**3 wrt x?\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4541060231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321940985 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -2*1 + 5. Let o = 9 - b. Sort 2, -0.2, o in descending order.\nAnswer: o, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493013244.\nAnswer: 2, 3, 41084437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -171\/10*d**6 - 4*d**3 + 9\/2*d**7 + 279\/20*d**5 - 7\/12*d**4 + 0 + 2*d**2 + 23*d. What is a in r(a) = 0?\nAnswer: -2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 252*y - 1783. List the prime factors of r(36).\nAnswer: 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5796038 - 2862813 = -5*s, -8658831 = -5*s + f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -4. Let m be i\/(-2) + (-5)\/10. Suppose -10 = -m*k - k. Solve k*o = -5*u + 5*o + 45, -o = 4*u - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.5087 + -4.\nAnswer: -27.5087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1106, -1097, -1074, -1031, -962?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -0.3, 0.04, -21, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -242*g + 6965 - 3*g - 75*g - 6964 in the form c + d*g and give d.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 - (-1 - -2)) - 8 - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -470, -467?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(5\/7))**(-5\/16))**(-3\/23))**32 assuming q is positive.\nAnswer: q**(150\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 227*g - 196*g + 373*g.\nAnswer: -50*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - c**2 + 4420 + 5349 in the form h + g*c + p*c**2 and give h.\nAnswer: 9758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - 8 - 28\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 369901*i**3 + 4*i**2 - 13*i - 16. Let k be t(-1). Round k to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 u when four letters picked without replacement from {h: 2, u: 3, y: 2, t: 13}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*(-12)\/36?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or 49877\/975?\nAnswer: 49877\/975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 divided by 22?\nAnswer: -313\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**7\/120 - d**6\/45 - 3*d**3 + 13. Let a(b) be the third derivative of c(b). What is the third derivative of a(m) wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14246*q**2 - 14241*q**2 + 28489*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-37104)\/42)\/((-4)\/14).\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144512157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*5\/20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2065*i + 638445 - 638445)*(1 + 3 - 2) + (3 - 3 + i)*(0 - 4 + 2) in the form k*i + n and give k.\nAnswer: 4128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 32 = -10. Suppose -11 = -4*b - 5*q, 5*q - x*q = 1. Solve -5*g + w + 24 = 0, 6*w - b = 2*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(65\/((-14625)\/315)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 381152 and 3047.\nAnswer: 4192672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 - 32*r - 86. What is v(6)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -6. Let b be (3 + 1)\/(q + 2). Factor -1\/4 - b*c**2 - 2*c.\nAnswer: -(4*c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 - -1369?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1138430000 to the nearest 1000000.\nAnswer: -1138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 2. Let s = 6 - c. Which is smaller: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + k - 6 = -0*k, 3 = -2*n + k. Let u = n - -3. Solve -2*f**u + 0 - 2 + 4*f + 0 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -91*z**3\/3 - z**2\/2 + 40*z + 142. What is the second derivative of x(f) wrt f?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-60) + (-4)\/16)*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, -3, 1\/37, -5, -0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-9)*w)\/w)\/(w**(-21)*w*w) assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -838e + 4?\nAnswer: -838a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/9 - 36*n - 1360\/9.\nAnswer: 4*(n - 85)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 15402*d - 20056*d**2 - 16 + 18 + 20057*d**2 - 2508*d in the form a*d + b + l*d**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34560 and 216?\nAnswer: 34560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:23 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from zzjmzmkjzczmzmzmzzjz.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 15 = 0, -3968 = 2*h - 2*z + 792. Let p = -14257\/6 - h. Let r = -3107\/310 + 506\/31. Calculate the common denominator of p and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6154092.\nAnswer: 2, 3, 7, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/2 + 9958*s**3 + 59741*s**2\/2 + 19913*s = 0.\nAnswer: -19913, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*c + 5*s, c + 113*s = 118*s + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1946 divided by -139.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d. Let u be h(1). Let p = -8 + 11. Let l = u + p. Calculate the remainder when 22 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 0 + 2 + -5 - -7 - -990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 0*z**4 + 0*z**2 + 0*z**3 - 3*z - 7\/5*z**5 + 4. Differentiate m(c) wrt c.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.151, -1\/7, 8\/31 in increasing order.\nAnswer: -2\/7, -1\/7, 0.151, 8\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280594190?\nAnswer: 2, 5, 53, 529423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 - 142*f - 195*f + 337*f. Let d(n) = 10*n**2 + 5*n - 1. Let w(p) = -9*p**2 - 4*p + 1. Let j(t) = -4*d(t) - 5*w(t). Give j(s(z)).\nAnswer: 80*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4637 - 2476. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1030 (base 4) to base 7\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**5 + y**4 - y**3 - y**2 - 1. Let j(l) = 9*l**5 + 2*l**4 - 2*l**3 + 2*l**2 - 2. Let u(m) = j(m) - 2*p(m). Find the third derivative of u(i) wrt i.\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35498 + 7*t + 178*t**2 + 35498 - 7*t + 46*t**2.\nAnswer: 224*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - (-24)\/(-9). Let g be 2\/(-3) - 5\/(-3). What is the common denominator of g\/(b - 16) + 2 and 95\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l*l\/l**(-2\/3))\/l))\/l)**0)**(1\/2)*l*l**(1\/6)*(l*l**(2\/7))\/l*l**(-3\/2)\/(l**6*l) assuming l is positive.\nAnswer: l**(-148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 9, i = 3*u + 3 - 6. Suppose -11*m - 6*m + 357 = u. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -386 divided by 49051\nAnswer: -386\/49051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*m + 55611 = 0, 4*m = -3*r + 24172 + 31437. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0757822 - 15.\nAnswer: -14.9242178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 270\/(-25)*(-10)\/3. Suppose -3*z - 4*d = -25 - 12, -4*z - 2*d = -s. What is the remainder when 26 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*3)\/((-99)\/(-22)). Let l = -3 - -2.3. Let w = -3.3 + l. Which is the biggest value? (a) -2 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-8))\/(((-6)\/24)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60842005 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339824151.\nAnswer: 3, 149, 211, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/9 (b) 2 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 3, z: 3, a: 6, f: 2}. What is prob of sequence al?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2769888\/67 - -9948626259\/240664. Let c = -3\/898 + q. Is c not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 407, 633, 879, 1151, 1455?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25563\/231647075 + -217560321052991\/39201171208100. Let i = 46792176607\/42307 - 1106015. Let q = i - n. Calculate the common denominator of q and 95\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -363800 by 4.\nAnswer: -90950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1993 = 5*i + 1968 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2785945 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/39)*b**(3\/8)\/b)\/(b**(1\/19))**(4\/5))**(3\/8) assuming b is positive.\nAnswer: b**(-21293\/79040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 60548130 to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 0 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 20, 74, 180, 356, 620, 990, 1484?\nAnswer: 2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -207200 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 12*m - 3 = 0, 5*m = 4*h + 27. List the prime factors of 29*(3 - 36\/h).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100010110100000 (base 2) to base 8.\nAnswer: -142640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/29418 and -77\/72?\nAnswer: 353016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 4 (c) -213\/164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87239 and 43309?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1894 = a - 3*b - 4728, 4*b - 26408 = -4*a. What are the prime factors of a?\nAnswer: 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v**6*(v**0)**(-7\/12) assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*(2 + sqrt(147) - sqrt(147))*2)**2 - ((sqrt(147) + 1 - sqrt(147))*-1 - (-2*sqrt(147) + 0))).\nAnswer: -14*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.64275 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**0\/z*z))**(-44)\/(z**0)**(-50))**(11\/4))**(-50) assuming z is positive.\nAnswer: z**6050","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -230*i**2 + 35*i + 202. Let m(o) = -114*o**2 + 16*o + 101. Let p(z) = 13*m(z) - 6*y(z). Find the second derivative of p(l) wrt l.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2182355318092 + -9?\nAnswer: -3.7817644681908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/3 + 158*c\/3 - 672 = 0.\nAnswer: 16, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*c = -40, -3*c = -c. Let g be (3\/(-5))\/((-3)\/10). Solve 0*f = -g*f + z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 + 10 = -115*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*b - 34, 3*b = 2*j + j + 30. Calculate the remainder when 77 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 3*n**5\/5 - 2*n**3\/3 + 2*n**2 - 354*n. Let h(d) = -35*d**3 + 11*d - 11. Determine 4*h(k) + 11*x(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329.8119 grams to tonnes.\nAnswer: 0.0003298119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a1 - -41c6?\nAnswer: 4487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13233522*d**2 - 11304050?\nAnswer: 26467044*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9232 + 482. Let j = s + -5753. Let d = -10291 + j. What is d rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-65)*(-25)\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3172 - 17616 = 628*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28 + -1)*(-7)\/(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118\/177*(18\/36)\/((-1)\/(-171))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1040.5 - -1040. Is o at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w + 495 = 0. Let x be 862 + (8 - 2 - 12). Let i = w + x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*f - 29 - 41 = 0, -56 = -2*j - 6*f. Let u be (-6)\/9 + (-664)\/(-6). What is the greatest common divisor of j and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(128) - sqrt(128)*-2) + 4)**2*-5*-1.\nAnswer: 960*sqrt(2) + 5840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179881 by -13837.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -296, -0.065, 3\/11 in decreasing order.\nAnswer: 3, 3\/11, -0.065, -2, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49870*h**3 - 35*h**2 + 49874*h**3 + 16*h**2.\nAnswer: 4*h**3 - 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6169, -6178, -6199, -6238, -6301, -6394, -6523, -6694?\nAnswer: -6913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 15*g**2 - 404*g - 12188. Give a(45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -366700*a**2 - 246812 with respect to a.\nAnswer: -733400*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -824.82 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 8) to base 3.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 16. Is 77\/3 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2256 - 1464 = -40*m. What is the greatest common divisor of 7037 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*n + 359*n + 26 = -4*o, 5*o - 5*n + 20 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 - 1580598*d**3 - 208198739307*d**2 - 2081868849720*d - 5204573338800 = 0 for d.\nAnswer: -263428, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) -47 (c) -2\/83 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6699120*r**4*u**2 - 5*r**4*u - 2*r**2*u**2 + 2*r**2 + 971*r*u - r - 2*u**2 + 172 wrt r?\nAnswer: 160778880*r*u**2 - 120*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/28 and -103\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -176, 1.\nAnswer: -176, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 a, and 1 y when four letters picked without replacement from aaayyaaaaaaada?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1583, -6725, -11867, -17009, -22151?\nAnswer: -27293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/26*39\/27.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*n - 13*n + 58 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/485 - -1926\/3395. Suppose 0 = 4*n - 26 + 30. Let u = -0.11 - -0.51. What is the closest to n in -5, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*p = 5*l - 32, 0 = 4*l - 3*p - 86. Suppose 2*i + 3*c - 49 = l, -c = 5. Let w = i - 40. What is the remainder when 9 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jll when three letters picked without replacement from {j: 3, q: 2, k: 2, l: 13}?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1379 is divided by 154?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/48)\/(-29)*-12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzyyzzyyyy. Give prob of sequence yy.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkkvttkvttvttkt. Give prob of sequence tt.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.82 - 14. Let h = 5.32 - a. What is h rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 960. Let v = -3717\/4 - b. Factor -1\/4*t**3 + 3\/2 + 3\/2*t**2 - v*t.\nAnswer: -(t - 3)*(t - 2)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/21456 and -69\/10.\nAnswer: 107280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.9 and -201?\nAnswer: -1989.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*r = -42*r + 234 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 10*z - 7*z - 6*z**2.\nAnswer: -6*z**2 - 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928242424.\nAnswer: 2, 31, 53, 70621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*o**4 - 8*o**4 - o**4 + (-2*o - o + 2*o)*(2*o**3 + 3*o**3 - 3*o**3).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10904\/23 + -474. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 + 2*x**3 - 2341*x**2\/3 - 782*x.\nAnswer: x*(x - 46)*(x + 1)*(x + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 50. What is t(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 11197358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b1766 + -21?\nAnswer: -b1787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -636 at most -639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066538445 + 7?\nAnswer: -1066538438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = h + 7, -z - h + 3 = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22298, 22418, 22704, 23240, 24110?\nAnswer: 25398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(sqrt(6)\/sqrt(3) + -1 + sqrt(8)\/sqrt(144) - (0 + sqrt(2)*3 + 2 + sqrt(4)\/sqrt(2)))**2.\nAnswer: 415\/18 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, i: 4, h: 4, w: 2}. Give prob of sequence iie.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 1265 = -4*y, -4*l + 965 = 3*y - 3*l. Suppose 0 = 2*k - y - 24. Find the second derivative of -o**3 - k*o + 165*o - o**3 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:45 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31 - (1 - 0)\/1. Let f be (-2)\/10 + 126\/a. Let r(s) = s**2 - s - 5. Is r(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174655950 is divided by 216.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2825*u**2 + 16965*u - 3. Give g(-6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + 19 + -18 + (-20 - 1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, k: 9, s: 2}. What is prob of sequence keks?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -90.6, 0.4, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -39*z - 2. Let l be o(-4). Let w be 1\/4 + 8626\/56. Let u = l - w. Put -1, u, 3 in descending order.\nAnswer: 3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3171*v + 47585. Calculate x(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -14 - (39 + -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-39) + (-4 - (-221985)\/65). What is the greatest common divisor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158.99999822 - 159. Round l to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3409521269 take away 409?\nAnswer: -410.3409521269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 1098?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c42 - 15?\nAnswer: c2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 41. Let w be m(-7). Solve -14 = w*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 17 + 35 = 0. Let o be (3\/(-6))\/((-1)\/w). Let u be (104\/24)\/((-1)\/(-3)). Calculate the highest common factor of o and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 347295205, -0.2, 0.2 in ascending order.\nAnswer: -0.2, 0.2, 347295205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23370431 (base 8) in base 14?\nAnswer: -96d729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156405910 is divided by 78202952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*i + 3 - 346*i - 3 + 616*i.\nAnswer: 39*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/((-2)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 155 = 4*g + 162, 5*y + 10 = -15*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111230233 (base 4) in base 14?\nAnswer: -11d659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + n + 96 - 22 = 0, 0 = 4*f - 3*n + 128. Let l = f + 47. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -101, -148?\n\"Answer: -47*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -250.6859 rounded to 1 dp?\nAnswer: -250.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3770 * -5393\nAnswer: -20331610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -7.1, 4032, 5 in decreasing order.\nAnswer: 4032, 5, 2, -3, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0572756 micrograms?\nAnswer: 0.0000000572756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 + 6905?\nAnswer: 68c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 4:19 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 7*l**3 - 22)*(-2 + 1 + 2 + (4 - 2 + 0)*(-6 + 2 + 3) - 11 + 10 + 16).\nAnswer: 98*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-530*c**3 + 530*c**3 + 9*c**4)*(-2*c + 4*c - 3*c) - 2*c**5 + 5*c**5 - 2*c**5 - 2.\nAnswer: -8*c**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/616*(-4)\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 196, 202, 198, 172, 112, 6, -158?\n\"Answer: -2*j**3 + 7*j**2 - j + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*u - 1454 = -2*u - 3540. What is the least common multiple of 133 and u?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(207*(-102)\/(-566559)*(-28)\/6)\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30442 rounded to three decimal places?\nAnswer: 0.304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4195 = 4*d - 2*d, 3*b + 15 = 0. Find the common denominator of -59\/6 and (11718\/d)\/(4*3).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 6*c + 2. Let p(j) = -j**3 + 5*j + 2. Determine -3*p(d) + 2*s(d).\nAnswer: 3*d**3 + 2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Let c(v) be the second derivative of -1\/90*v**6 + 0 - 4*v - 1\/2*v**z - 10\/9*v**3 - 4\/3*v**2 - 7\/60*v**5. Factor c(d).\nAnswer: -(d + 1)*(d + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 2484?\nAnswer: -993.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1089*t + 1145*t - 14952 = 0. Solve 0 = 8*g + t - 243 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 1:16 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8050?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/1110516 and 37\/8601.\nAnswer: 67741476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74.8 + -72.8. What is the closest to x in 0, -7, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a. Let z(u) = 9*u - 33. Let l(g) be the second derivative of -g**3\/6 + 2*g**2 + 2*g. Let k(p) = 33*l(p) + 4*z(p). Determine f(k(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -405 + 401. Is a > -1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + 2 - (-10)\/15*-3. Let a be 1\/(-15)*24\/r. What is the nearest to 3 in 2, a, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913472 a multiple of 1350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:51 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/246?\nAnswer: 1\/246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -15*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5370602 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 387 + -383. Let t be (-49)\/(0 - (-3 + f)). Solve t = r + 48 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -3647089.\nAnswer: -18235445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 1640?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6)*1)\/((-126)\/1323)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by 19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 4*k - 4, 3*q + k - 18 = -k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s. What is the remainder when 9 is divided by x(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.57.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1089852 and 15\/73928294.\nAnswer: 443569764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p - 12 - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 173*a**3*f**3 + 3*a**3*f - 98*f**3 + 4*f**2 wrt a.\nAnswer: 519*a**2*f**3 + 9*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180 + -174. What is the units digit of 506 - (3 + -5) - v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 37*j**2 + 154*j + 192.\nAnswer: (j - 32)*(j - 6)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -698*w**2 - 69*w**3 + 26*w**5 - 41*w**5 + 69*w**3 wrt w.\nAnswer: -900*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**7\/63 + 7*t**6\/45 + 7*t**5\/15 + 4*t**4\/9 - 42*t. Let r(v) = 0. What is v?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 10*h + 15. Let q be i(11). Suppose q*s + s = 20. Suppose s*l - 5*l + 67 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5377, 5245, 4999, 4615, 4069, 3337, 2395, 1219?\n\"Answer: -4*p**3 - 33*p**2 - 5*p + 5419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 25*l + 97. Let b be p(-4). Let o(x) = -147*x**3 + x**2 - 76*x. Let g(n) = -n. Let j(s) = b*g(s) + o(s). Find the third derivative of j(y) wrt y.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 8 - -3) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 5*m**2 + 4*m + 2. Let a be w(-3). Suppose k - 7 = 2*j + 1, -4*k + 2*j = -a. Solve -3*b - 4*u - 31 = k, -4*u + 6 = 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5296477 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y = 3*k + 1499, 3*k = -5*y + 1511. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:48 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3211.04653 + 3210.9. What is m rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 11:34 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose r*h = h - 3. Find the second derivative of -6*d + 2*d + h*d + d**2 wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.911 + 0.4\nAnswer: -3.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11951574809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + -1.98. Let y = 2 + s. Let g = y - 0. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/81 or 1?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/24)\/((-7)\/4 - -2). Let m(d) = n - 14*d - 1 - 16*d. Let k(c) = 6*c**2. Determine m(k(h)).\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + i**2 + 2*i**4 + i + 3*i**2 - 2*i**2 + 0 to m + f*i**3 + o*i**2 + w*i**4 + c*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - d = 1203, 5*q - 4*d = 1844 + 161. Let u = 404 - q. Solve 10 = 5*s - w - u*w, 0 = -2*w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h = -65*h - 4*d + 13639, 4*d - 40973 = -3*h. What is the greatest common factor of h and 519?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*m + 5*s + 58, 6 = 2*s. Suppose 125 = 3*k - 2*z - 173, 3*k - 292 = -z. What is the remainder when k is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56861 is divided by 14206.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r - 616 = 87*r. Let v be (0 + -5 + 4)*(r - -14). What is z in 1\/6*z**4 - 1\/6*z**2 + v*z - 1\/6*z**5 + 0 + 1\/6*z**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 1 + 2*d)*(-d**4 - 17*d**4 - 16*d**4).\nAnswer: -68*d**5 - 34*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 22 = 5*p + 7*q, -4*p - 5*q + 21 = 0. Let h be -1*p*-2 + -3 - 0. Solve -18 = 2*r + 4*u, 2*u - 1 = 2*r + h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**2\/2 + 10*b - 1. Let m be a(8). Suppose h = m - 0. Calculate the lowest common multiple of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {s: 4, h: 2, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + 0*f)*(0 - 3 + 1)*(-2 + 9 - 3).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/4)\/((-72)\/(-336)*(-7)\/(-6))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -326305*h**2. Let o(j) = 2*j. Determine o(c(u)).\nAnswer: -652610*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 5. Let o be p(-2). Is 7 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208) + -2 + sqrt(91)\/sqrt(7)*-3 - 1*(sqrt(26)\/((sqrt(72) - sqrt(2))*-2) + 0))**2.\nAnswer: -22*sqrt(13)\/5 + 1973\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -3 (b) -2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k**2 + 7*k + 7. Give q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.20094 and 2?\nAnswer: -2.40188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 13*c - 6*c - 5*c to g*c + p and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*n + 20*j - 22*j, -3*j = -4*n + 15. Let p be n\/(-5 - (1 - 7)). Solve -2*q - 2*h - 8 = p, 4*q + q = -3*h - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7589 = -12*z, -2*q + 14 = -0. What is the remainder when z is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 + 8*s**2 - 1187*s**4 + 1197*s**4 + 0*s + 0*s + 2*s**4 + (2*s**3 + 0*s**3 + 0*s**3)*(s + 2*s - s) + 0*s**2 + 0*s**2 + 2*s**4.\nAnswer: 18*s**4 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -11*s + 6*s, 2*c = 2*s - 61464. Which is smaller: -30740 or c?\nAnswer: -30740","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z**2 - 5*z**2 + 8*z**2)*(1 - 2 + 2) - 12*z**2 - 8*z**2 + 4*z**2.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 494 - 494. Let y = 3 - 8. Let n = y + 3. Put g, n, 5, -3 in decreasing order.\nAnswer: 5, g, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1470) - 2*sqrt(1470))*5)\/(sqrt(10) + 6*(sqrt(10)*-2 + sqrt(10) - sqrt(10)) - sqrt(50)\/sqrt(45)).\nAnswer: 105*sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*q**2 + 107275*q + 8940 = 0. Calculate q.\nAnswer: -1\/12, 1788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 118 = 7*x, -157*t = -78*t - 76*t + x - 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9004175?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225*u - 1004*u - 50*u**3 - 16*u**3 + 65*u**3 to the form z*u**2 + h*u**3 + p + k*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 208372968 divided by -17364414?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -5*c + 15. What is the remainder when 13 is divided by ((-5)\/3)\/c*12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101376 and 594.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/4 + 5*c**3\/3 - 2*c + 25. What is n(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566383751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 8*r**2 - 13*r - 14. Let f be j(5). Which is the third smallest value? (a) -1 (b) -227 (c) 3\/2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96922657, 96922659, 96922661, 96922663, 96922665, 96922667?\nAnswer: 96922669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okebrbk. What is prob of picking 1 o and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1380\/1150*30\/612\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 462 = 7*l. Let u = l - 62. Solve 0 = -2*x - h + 5, -5*x + 4*x = -2*h - u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155247 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*h**3 - 221*h**3 + 922*h**3 - 466*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmgvat. Give prob of picking 1 g, 2 m, and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10490 divided by -10\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 divided by 1?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*2*(-7)\/(-8). Let z(q) = 1. Let c(m) = m - 3. Let j(f) = 2*c(f) - 6*z(f). Let i be j(u). Solve -3*b + k = -i, -b = -6*b + 3*k + 28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 102 = 6*u, -44*p + 68 = -40*p - 4*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let d be y(-15). Let k(a) = -2*a**2 - 3*a - 3. Let o(f) = -10*f**2 - 14*f - 14. Determine d*k(p) - 3*o(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30790657 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 168*v - 1709. What is y(-9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 161 (b) 4 (c) 0.4 (d) 0.2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 3. Let i(g) = -2*g + 2. Let a be (0 + (1 - 0))*3. Suppose a*h + 4 = -8. Determine h*u(v) + 5*i(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 29 = -2*q + 3*x, -q - 2*x - 3 = 0. Suppose -q*f = -62 + 20. Solve -34 - f = 8*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50099 and 595?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9702 and 693.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 264, 1710 in decreasing order.\nAnswer: 1710, 264, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -30 (b) -4 (c) -0.3 (d) -75 (e) -0.03 (f) -2\/5 (g) 15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*v - 4*a, 0 = -2*v + 5*a - 23 - 7. Solve v = -12*b + 14*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126157313 is divided by 335?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 427704 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 7575.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/24 - 5*v**3\/6 + 7*v**2. Let c be s(-7). Is (-1)\/((-1)\/108*c) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -766 + 767. Solve 0 = 3*m + 6, p + 11 = w - 5*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354.06*2\nAnswer: 708.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84614939?\nAnswer: 41, 2063779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.4. Let g = -61 + 61.1. What is the smallest value in -2\/7, y, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.13 (c) 0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440595 to the power of 1\/2, to the nearest integer?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - 10. Suppose 0 = 4*n + b*c - 21, -1 = 5*c - 6. Suppose n*l = 96 - 16. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62656*y**2 + 35*y + 227?\nAnswer: 125312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 3*g - 5*m, 5*g = 41*m - 37*m + 501. What is the remainder when g is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {k: 2, r: 4, b: 5, t: 2, e: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -227, 1, 0, -1.9 in increasing order.\nAnswer: -227, -1.9, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2\/321 (c) 719 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 70 = 5*t - 4*n, -5*n - 75 = -4*t. List the prime factors of 390\/t + (-1)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 21. Let g be 0*4\/(-2 + l). Suppose 4*m = m + 3*u + 15, 3*m + 3*u + 15 = g. Solve m*q - 8 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356215 is divided by 178065?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1819*p**2. Let l(n) = -2*n**2. Determine i(l(f)).\nAnswer: -7276*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/2 - 393*t**2\/2 - 38415*t\/2 + 38809\/2 = 0. Calculate t.\nAnswer: -197, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 108.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8658167ng to micrograms.\nAnswer: 0.0008658167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = a + 17*o + 9, 2*a = 3*o - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/6 - 2179*p**3\/6 + 49247*p**2\/6 + 735559*p\/6 - 130438 = 0.\nAnswer: -11, 1, 33, 2156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 1, s: 1, g: 1, r: 1}. Give prob of sequence rgps.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3001 - 887 = -8*v. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 3242?\nAnswer: -3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39506 + -31549. Calculate the highest common divisor of q and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214699 = 269*h + 219541 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -45*b + 1. Let d(a) = 2*a. Determine w(d(p)).\nAnswer: -90*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 + 1 = 0, 9 = -3*j - 3*h. Let k = 1 - -3. Let u(t) = 3 + k*t + 3*t**2 - 2*t - 4*t**2. Determine u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u + 9*u + 361 = 0. What is the remainder when 64 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, y: 2, c: 5, g: 4}. Give prob of picking 1 y, 1 c, and 2 t.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 15573012400 to the nearest 1000000.\nAnswer: 15573000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -135 and 2731.\nAnswer: -368685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/3)*v\/(v*v*v**7)*(v\/(v\/(v\/v**2)))**(-1\/51) assuming v is positive.\nAnswer: v**(-373\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 16*r**2 + r + 49. Calculate f(-15).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1800475 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.127 - -61.127. What is the third smallest value in -2\/25, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*i - 7, 5*i = t + 4*i - 22. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5713771 is divided by 218.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-242)\/20 - ((-29)\/(-10) - 11 - -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 4, z: 3, y: 6}. Give prob of picking 1 t, 1 z, and 1 y.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/120 + h**5\/10 + 5*h**4\/24 + h**3\/2 + 22*h**2. Let w be v(-4). What is the derivative of -3*m**3 - m**3 + w - 6 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16219*h**3 - 33216*h wrt h.\nAnswer: 97314*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**6\/120 + 7*a**5\/60 + a**4\/24 - 5*a**3\/3 + 8*a**2 - 112. Calculate u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from bvbwbbovb.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*a = -175, 0 = -2*f + 2*a + 2*a + 80. Let z = 54 - f. Suppose 0 = -z*d + 6*d + 7958. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 19b7c7d8?\nAnswer: -19b7c7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23315277 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269*d**6*r - 41*d**5*r**2 + 13*d**2*r**2 + 2*d**2 - 5*d + 12*r**2 wrt d.\nAnswer: 32280*d**3*r - 2460*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/3 - 11558810*j**2\/3 - 23117623*j\/3 - 11558812\/3 = 0 for j.\nAnswer: -1, 11558812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = 5*s - 2*i + 58, i - 327 = -5*s. Suppose 0 = t + 2*p - s, -2*t - 4*p = -4*t + 124. What is the remainder when t is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-22) + 786\/66. Is 12\/((2\/(-10))\/(s\/(-45))) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510 (base 10) to base 5.\nAnswer: -4020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 2*w**2 - 10*w - 10. Let h be c(6). Let v(k) = 139*k - h*k - 70*k. Let j(f) be the first derivative of f**3 + 1. Determine j(v(g)).\nAnswer: 75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*q**4 + q**3 - 916*q**2?\nAnswer: 552*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**2 + b**2)*(6*b**2 - 8*b - 12*b**2 + 2*b**3 + 4*b).\nAnswer: 2*b**5 - 6*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.873757 micrograms?\nAnswer: 0.000000000873757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 168, -0.5, 1, -3\/5.\nAnswer: -4, -3\/5, -0.5, 1, 2, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 884, 2.\nAnswer: -19, -2, 2, 884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (44 + -12)) + 1 + -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -147*z - 435. Let x be m(-3). Solve -13 = -x*j - 37 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 39*i - 38*i + 1, -2*i - 2 = 3*v. Solve -4*g - g = -2*u + 11, -5*g - 5 = v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*d + 19, -31*d + 3*k = -26*d - 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12014*h + 3895*h - 2809*h.\nAnswer: -10928*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 - -122.5. Which is greater: 0.8 or m?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46.2 < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 3. Let t be n(8). Suppose t*k - 34 + 4 = 0. Suppose 5*b + 305 = 3*i, 95 = i + b - k*b. What is the remainder when i is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:42 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1257.504 + 1427.91. Round m to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 2*c - 34*c + 37*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 33 = -3*j, -3*p - j + 27 = -4*j. Solve 4*b = -0*b + p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 39, 52, 65, 78, 91?\n\"Answer: 13*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 365859 times 3\nAnswer: 1097577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 7:10 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34407001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 422 - 1142 = 2391. Sort -6, 0.2, l, -2\/7 in decreasing order.\nAnswer: l, 0.2, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 17 = -3*b, 4*c = -2*b - 3*b + 37. Suppose -2*d + b = -3*d. List the prime factors of (-1)\/(3 - (-30)\/d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170016 and 520536.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Let i = 4.7 - s. Let y be 1\/(-5) - 3*4\/(-60). Put 5, i, y in descending order.\nAnswer: 5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most -1388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 + 8*b**3 - 12*b**3 + 8*b**3 wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-1 + 4) + 0. Calculate the common denominator of (f - -1) + (-188)\/(-24) and -1 + 0 + (-38)\/(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*m - 13 = 13, 0 = 2*d + 4*m - 22. Solve d*k + 20 + 15 = 5*t, 2*k = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 3.65878, 3 in increasing order.\nAnswer: -5\/4, 3, 3.65878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(0 + 14\/(-70)). Suppose -2*l = -5*l - 27. Let d = l + 39. What is the greatest common divisor of d and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:16 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose -2*w = -a*w + 50. Let g = w - 91\/2. Calculate the common denominator of -81\/4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*k**5*s + 2892*k**3*s**2 + 61*k**2*s**2 - 463*k**2*s + 14*k*s**2 wrt k?\nAnswer: 6240*k**2*s + 17352*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28751, 115003, 258763, 460037, 718831, 1035151?\nAnswer: 1409003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-220)\/16)*8\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23*z + 4. What is the remainder when d(3) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.38 smaller than -31777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -359*v**3 - v**2. Let p(u) be the first derivative of u**2\/2 - 6*u - 2. Let g be p(7). Let n be d(g). Round n to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13194463 or 13194465?\nAnswer: 13194463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from wdbwdbobwffwff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/83 + 376\/1743. Let u = 13 - 18. What is the nearest to 0.1 in u, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 3*y**2 + 6*y. Let f(g) = 4*g**3 - 10*g**2 + 19*g. Calculate 2*f(t) - 7*r(t).\nAnswer: t**3 + t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12291679 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 12) to base 6.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(((-2)\/(-4))\/(-1)). Let t be 45*-7*(-6)\/126. Suppose -3*o = 3*d + 9, -14*o + 4*d = -15*o - t. Put v, -3, 5, o in descending order.\nAnswer: 5, v, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -7 - (-308)\/55)\/(-4). Suppose 0 = m - 2 + 1. Is m less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000775057 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203*b + 81*b + 100*b)*(2 + 0 + 4) + (-2*b - 3*b + 3*b)*(3 - 1 - 1).\nAnswer: -134*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3287, -6616, -9955, -13304?\n\"Answer: -5*q**2 - 3314*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5812652 + 4?\nAnswer: -5812647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.063 + 0.062876. Round k to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. Suppose m*f - 4*f = -102. What is the remainder when f is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.15, 4\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 - 3*g**2 + 5*g**2)*(18460*g**2 - 36865*g**2 + 12579*g**2) to v*g**2 + d*g**4 + p*g**3 + n + l*g and give d.\nAnswer: -5826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - 5*s - 185 = 0, -1464*x + 1463*x + 25 = -5*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*i + 6*i. Suppose i*z - 4*z = 0. Suppose z*k = -2*k + 20. What is the smallest common multiple of k and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjyjyj. What is prob of sequence jj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2 - 3*l + 12. Let r(h) = 44*h**2 - 17*h + 63. Determine -11*p(n) + 2*r(n).\nAnswer: -11*n**2 - n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 13 = -2*k. What is the smallest value in k, 0.09, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-961)\/(-248))*(-187)\/(-136)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 24 = -18*v. Solve -5*j = 2*w + 6, -6*j - v = -3*w - 3*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39377 and 676?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 38 + 10 - -43 - 55\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/680195 + 37409789\/318331260. Calculate the common denominator of b and -25\/234.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 14. Calculate the remainder when 71 is divided by i(-11).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**4\/2 - 25*l**3 - 115*l**2\/2 - 35*l = 0. What is l?\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 1, -52, 21, -3 in decreasing order.\nAnswer: 21, 1, -2, -3, -9, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 97. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 768*z**2 - 779*z**2 - 8*z**6 - 3*z**6 wrt z?\nAnswer: -1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 15915*x**2 - 84418275*x + 149241021625.\nAnswer: -(x - 5365)**2*(x - 5185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.3 - -25. Let h = 0.3 + l. Sort h, 3, 0.4 in ascending order.\nAnswer: 0.4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + l = 2*z - 2, -4*l = -4. Let i be (-1 - z)\/(1\/4). Is (-2922)\/i - 2\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057392529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 4166\/3, 0.02, -5, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.62 + -10.66. What is the second biggest value in 1\/4, -0.05, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -59*z - 17. Calculate r(-2).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 355795370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3*b - 4*b + 3 + b - 3 + 5 - b - 5 + (-5*b + 3*b - 2*b)*(-4 + 2 + 3) + 3*b + 2*b - 4*b)*(5 - 1 - 2)*(0 + 0 - 4*b).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v**2 - 2*v - 2. Give a(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/457 + 11434\/1371. Which is smaller: 9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20986400 to the nearest integer?\nAnswer: 4581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (6 - (-1 + 13))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15364 and 644.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -412 (base 8) to base 11\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1947454274.94 and -3.\nAnswer: -1947454277.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-60))\/((-770)\/(-77))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 2*d - 19 + 31 + 23*d**2 - d**4 + 5 - 17 to q*d**2 + n*d**3 + k*d + z*d**4 + s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 5*v**2 + 2*v - 5. Calculate the lowest common multiple of 1 and b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vas when three letters picked without replacement from auvsvs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500)*-4*-2)\/((3*sqrt(352) + sqrt(352) + sqrt(352))\/sqrt(8) - sqrt(44)) + 1.\nAnswer: 1 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 687 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 7 = 2*q, 0 = 5*u - 2*q - 3*q. Let c = 0.7 - 0.5. What is the closest to u in c, -3\/5, 2\/13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39991 and 39990 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.1 + -14643471.\nAnswer: -14643462.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 391546133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*w - 21 = 0, -3*i + 2*i + 2*w = 4. Let f = -4 - i. What is the third derivative of -2*a**2 - f*a**3 + 2*a**5 + 2*a**3 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/4)\/((-2)\/(-4)). Suppose -11*m - p = -8*m. Suppose -14*n - 8 = -6*n. Put m, n, 0 in increasing order.\nAnswer: m, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7476047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1.005.\nAnswer: -0.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1629*z**3 - 29316*z**2 - 131841*z + 486.\nAnswer: -3*(z + 9)**2*(543*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 56 - 20 = 4*p, -5*f = 3*p - 16. Suppose 4*s - p = -4*d, s + 3*s = -3*d + 11. Solve -5*g + 12 = 3*h, g = -6*h + h - s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 49*t**3. Let k(m) = -4*m**2 + 169*m + 307. Let w be k(44). Give d(w).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 169*o**2\/3 - 248612*o\/3 + 91431844\/3 = 0.\nAnswer: 9562\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 25. Let y be -562 - l\/((-20)\/8). Round y to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 80871034\nAnswer: -161742068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 9:54 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -1\/3, 0.15983 in ascending order.\nAnswer: -1\/3, 0.15983, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 16 = -11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -4*l + 8, 3*l = -2*y + 11. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/6)\/((-693)\/(-81) - 9). Is n bigger than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 14, w: 4}. What is prob of picking 2 w and 1 o?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/30 + (-4)\/10. Let f be ((-4)\/27)\/(32\/48). What is the second biggest value in f, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.19 and -2.808523.\nAnswer: -2.998523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110126560 is divided by 606.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 346524 and 1039572?\nAnswer: 1039572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1719584, -1719589, -1719590, -1719581, -1719556, -1719509?\n\"Answer: w**3 - 4*w**2 - 1719581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31915052 divided by -52\nAnswer: -613751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171387, -342757, -514107, -685437, -856747?\nAnswer: -1028037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 76 = -0*g - 3*o, -g + 48 = -4*o. Suppose -g = 2*h - 6*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 195808692.5 to the nearest 100000.\nAnswer: 195800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2, 1, 19 in decreasing order.\nAnswer: 19, 2, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1139 (base 12) to base 9\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*i = 36*i + 185*i + 99*i + 28560 for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010101000001110000?\nAnswer: 1010101000001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350159044 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2260, 9617, 21872, 39019, 61052, 87965?\nAnswer: 119752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:35 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c - 14*c - 13*c - 1.\nAnswer: -42*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3035 = 3*l - 4*i, -i - 3*i - 4044 = -4*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 7. Suppose 622 = -4*o - 3*q, -q - 789 = a*o - 3*q. Let w = -55 - o. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0109199 to 4 dps.\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2)*z*z**3)**(-3\/16)*((z*z**(-1\/2))**(6\/11))**(11\/6) assuming z is positive.\nAnswer: z**(-13\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6*2\/15)\/((-3)\/30)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*(1 - -3). Suppose -3*i - 46 = p*x - 0*i, 5*x - 4*i + 92 = 0. What is the least common multiple of 2 and (x\/(-14))\/((-3)\/(-21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 18225?\nAnswer: 18223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 220786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.38619 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 2. Let r be 0 + (-1)\/3*-6 - 0. Let u = 0 - -5. Let f(x) = x**2 + 3*x - 5. What is r*f(q) + u*a(q)?\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000110001001110 + -1?\nAnswer: -1011000110001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160006214.\nAnswer: 2, 569, 140603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 9*m + 2. Let s = 5 - 11. Let j be i(s). Suppose d = 5*d - j. What is the nearest to 1 in 4, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:50 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 1 - 60\/33. Let i = 7 + -6.6. Sort i, y, 0.1 in ascending order.\nAnswer: 0.1, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -33, 3, -2, 23 in decreasing order.\nAnswer: 23, 3, -2, -10, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 12*v + 24*v = 0. Which is the closest to 7.8? (a) v (b) -2\/7 (c) 2\/15 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75858621 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 6*q**2 - 4*q. Let r be v(5). Suppose -r*s - 7582 = 7918. What is s rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-30) - (-2)\/(-5). Let j = -235063\/8 + 29383. Which is the nearest to r? (a) 2\/13 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 4 - 4)*(3 - 3 - 2*f**3) + 5 - 5 - f**5 + 8*f + 2*f**5 - 8*f + (-f**3 - 3*f**3 + 2*f**3)*(0*f + 0*f + 2*f**2).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 - 1938*c**2\/7 - 10108*c.\nAnswer: -2*c*(c + 38)*(c + 931)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {s: 4, o: 16}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26494 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 84553848 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -20 + 36 - (-3 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-3 - (-4)\/10). Let r = -129 - -129.41. Let q = -0.31 + r. Which is the closest to y? (a) 0.3 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10262 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 2*d - 3*d)*(5 + 4*d - 5)*(-1 + 2 + 1)*(-2 - 1 + 6) in the form t*d + m*d**2 + g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:20 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2800 and 7184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 366 - 364. Let r = -1.94 + -0.06. Put v, r, -0.3 in decreasing order.\nAnswer: v, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61502702749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -111 + 102 - (0 + -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4569 or 2?\nAnswer: 4569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, 3, 5, 2\/7 in descending order.\nAnswer: 5, 3, 2\/7, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2\/15, 15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(30\/32 - 1). Let n = -110 - g. Suppose -6*q + 2112 + n = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 2*g - 18*g**2 + g**3 + 3 - 12*g**2 + 33*g**2. Let q be s(-3). Solve -2*c + 2*b = -2, q*c + c + 11 = 4*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 19.2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (1 + -14 + (-114 - -124) + 11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*w + 30, 4 = 3*b + 4*w - 24. Let x be -2 + (b\/(-5))\/(12\/(-30)). What is the second derivative of 5*n**2 - 14*n**5 - n**2 - x*n**2 - 37*n wrt n?\nAnswer: -280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -968883358531568.9999914 - -968883485887298. Let s = 127355627 - t. Let c = s + 102. What is c rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 237742409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22157 (base 13) to base 6.\nAnswer: 1153525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.086 and 432.\nAnswer: 37.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 23 + 82 - 39 + 734*d**2.\nAnswer: 734*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*o**4 - 2*o**2 + 8*o - 6 wrt o?\nAnswer: -1752*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20048, 0.5, -0.24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25740 - 25737 - 87*q - 8*q.\nAnswer: -95*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**4\/4 - i - 3. Let b be o(1). Let l(m) be the third derivative of -m**5\/60 + 7*m**3\/6 + 2*m**2. What is l(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (-8 - (10 + -10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*l + 2 = 0, -q - 14 = -3*q - 6*q - 2*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*r - 5662 = 311*r. List the prime factors of r.\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219279695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13652, -13556, -13460?\n\"Answer: 96*v - 13748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from beegpkgkekt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.13 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-65)\/2)\/(5\/(-20)). Let i = -64 + v. Suppose 4*b + 2*u - i = 0, -b + u - 16 = -2*b. What is the highest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v**3 + 5*v. Let z(h) = -10*h**3 + 6*h. Suppose 3*l = 5*p + 16, -4*p - 4*l = -0*p + 32. Give p*z(w) + 6*f(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-336)\/385)\/(-12))\/((-9)\/(144\/(-64)))?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3046 to two dps.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7884247\/988 + 7980. Are 1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/3 + (1 - -1). Let r(p) = 1 + p**2 + h - 7. Let w(s) = 4*s**2 - s - 16. Give -7*r(j) + 2*w(j).\nAnswer: j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1495*y + 56 - 1495*y + 2993*y)*(-6*y + 2*y + 2*y + (-3*y - y + 2*y)*(5 + 0 - 2)).\nAnswer: -24*y**2 - 448*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 21 - 2*t + 18 - 39. Let a(w) = w. Let j(i) = -3*a(i) - 4*d(i). Let o(k) = 2*k**2 + 8*k. Let l(g) = -g. Let q(r) = 8*l(r) + o(r). Calculate j(q(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 91116088 divided by -49\nAnswer: -1859512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 + -5.09. Let x = -124 + 123.81. Let s = 0.81 - x. Which is the closest to 2\/7? (a) 2 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95548, 95547, 95546, 95545?\nAnswer: 95544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 9*v + 2. Let z(w) = w**2 + 3*w - 5. Let d be z(2). What is p(d)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -1 + 7. Let j(i) = -7*i**2 + 5*i + 4. Let y(u) = -3*u**2 + 2*u + 2. Let c(q) = 2*j(q) - 5*y(q). What is c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/18)\/((8\/(-36))\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 17*j**2 - 38*j + 24. What is the remainder when ((-16)\/6 + 2)*-69 is divided by k(19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5884*w - 5879*w - 397 = -14*h, -5*h - 3*w + 143 = 0 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*r + 2 = 112*r. Sort -2, 0.3, 1, r in increasing order.\nAnswer: -2, 0.3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -509 - -801. Let v = k + -289. Let -1\/3*r**v - 4\/3*r + 5\/3*r**5 - 4\/3 - 13\/3*r**4 + 17\/3*r**2 = 0. Calculate r.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/400)\/(73\/(-1825)))\/(573*1)?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2. Let m(n) = n - 3. Let c(z) = 3*h(z) - 2*m(z). Let a(t) = -3*t**2. Calculate a(c(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30752028 and -96.\nAnswer: -30752124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*j + 1224 = -70*j. Let h = -11 - -23. What is the highest common factor of h and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459800 = -14*r + 7450. Suppose 46*d + 1083 = r. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(13)*-2)*-1)**2 + 5.\nAnswer: 12*sqrt(13) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1730*17.9.\nAnswer: 30967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 1. Let j(r) = 5 + 15 - r**3 - 5*r + 4*r**2 - 2*r**2 - 24. Calculate -5*b(m) - j(m).\nAnswer: m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o + 7 = 31*o. Suppose 6*n - o*n + 2 = 0. Solve -f + 3*x + n + 1 = 0, 3 = -4*f - 3*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 16, -11 = -2*s - 3*s + k. Solve 0 = -a - 2*i - 3, s*a - 6*a + 19 = -i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 16838, 1\/18, 0.3?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:32 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 575 - 269. What is the first derivative of 306*l**3 - i*l**3 - 29*l**4 + 30 wrt l?\nAnswer: -116*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/177?\nAnswer: -16\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -403, 219, 845, 1475, 2109, 2747, 3389?\n\"Answer: 2*c**2 + 616*c - 1021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77007 and 1827?\nAnswer: 6699609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177 - (21 - -67) - 100?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4952539, -9905080, -14857621, -19810162, -24762703, -29715244?\nAnswer: -34667785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 14. Let k = -5 + w. Suppose 0 = k*p - 3*g - 0 - 6, -p - 5*g + 8 = 0. Let x(j) = -j**3 + 3*j**2 - 2. What is x(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -56. Suppose 10 + 0 = -c*j, 3*a - j = 26. Solve 0 = 3*n - 4*f + 11 + a, -24 = 4*n - 4*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694 times 4?\nAnswer: 10776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + -1 + (0 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 268*a\/3 - 8978\/3.\nAnswer: -2*(a + 67)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 5*q - 180880 = 9*j, 2*q + 36164 = j. What are the prime factors of j?\nAnswer: 2, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211925 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10964.2 rounded to the nearest one hundred?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2.06. Let p = 0.14 - h. Which is the second biggest value? (a) p (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194012 divided by 1?\nAnswer: 194012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-3) + (-6 - -7)*2. Let f(x) = 22*x - 4. Determine f(y).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19556851 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1738 = 5*p, z - 2442 + 700 = -p. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27007876 and 1933?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 4, b: 5, p: 1, e: 3}. Give prob of sequence db.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -3760955 and -313.\nAnswer: -3761268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 4:56 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:51 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -465, 1\/3 in increasing order.\nAnswer: -465, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 3*m + 70, m = 3*n - 105. Let f = n + -173\/5. Which is the closest to 0? (a) -0.2 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -0.1199206068375.\nAnswer: -1.1199206068375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17707 or -69518?\nAnswer: -69518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -20*t + 86. Let v be u(3). Are v and 24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2306595 and 16515?\nAnswer: 6919785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Suppose -3*c - 34 = -f*d + 14, 3*d - 15 = -3*c. Let i be (0 + d)*1\/3. Calculate the highest common factor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16910, -33879, -50912, -68009, -85170?\nAnswer: -102395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20138634740 - -27.\nAnswer: -20138634713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 124, 128, 126, 118, 104?\n\"Answer: -3*a**2 + 13*a + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 910*f**2\/3 + 2673*f - 27030.\nAnswer: (f - 6)*(f + 15)*(f + 901)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmnrgrnrorqmogrrno. What is prob of picking 1 n and 1 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/526 and -55\/408.\nAnswer: 107304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 12*o + 36 = 0. Suppose -20 = 4*h, 5*c = -3*h - 4 - 11. Suppose c = -q - 4*q + 225. Calculate the highest common divisor of q and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/7 + 1096756*t\/7 - 1096758\/7 = 0. Calculate t.\nAnswer: -548379, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0648 and 231420?\nAnswer: 231420.0648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -46, -69, -94, -121?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2260, 2691, 3392, 4363, 5604, 7115?\nAnswer: 8896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 1\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -28046\/11 (b) -1\/2 (c) 0 (d) -0.23 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f + 5*f)*(-6 + 4 + 1)*(-1 + 3 - 4).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/1080 + c**5\/90 + c**4\/18 - c**3 + 17*c**2. Let m(j) be the first derivative of f(j). Factor m(n).\nAnswer: (n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -22. Let z be 8*((-2)\/(-2) + s). Let x = 63 - z. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001110000010 (base 2) in base 9?\nAnswer: -32283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**3 - d**2)*(-69*d + 7*d - 19 + 18).\nAnswer: -124*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186181307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 81*h**5\/7 + 755712*h**4 + 7640959*h**3\/7 + 2612284*h**2\/7 + 261228*h\/7 = 0.\nAnswer: -65307, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -950 plus 4804.7867?\nAnswer: 3854.7867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*s + 18*s - 5*s)*(s**3 - s + s)*(4 - 5 + 8) in the form a*s**4 + w + j*s**3 + h*s + x*s**2 and give a.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.038 and -190457.9.\nAnswer: -190457.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39379 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + -1)\/((-2)\/5). Find u, given that -12*u + 3*u - 5*u**4 + 15*u**5 - 6*u**3 - 4*u**4 - z*u**4 + 24*u**2 = 0.\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*q = 131*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6260 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 20721239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84564.44cm in micrometers?\nAnswer: 845644400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -698687092, -698687082, -698687066, -698687044, -698687016, -698686982, -698686942?\nAnswer: -698686896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19518 divided by 2.\nAnswer: -9759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/238 - (-140)\/34. Let o be 24\/n + (-8 - 1). What is the closest to 2\/7 in -1\/3, 2\/13, 0.45, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 9*c - 9. Let m(d) = d**3 - 6*d**2 - 6*d - 6. Let r be m(7). Let h be (r - 3\/3)\/(-2). Put -7, h, c in decreasing order.\nAnswer: h, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 14. Suppose -y - 11 = -5*d. Solve -d*i + 6 = -4*a - 20, 0 = -2*a + 5*i - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 8\/5*g**2 + 4\/15*g**3 + 0*g - 25 - 4\/25*g**5 - 4\/5*g**4. Find t such that h(t) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0 = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/85 and -111\/40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q + 17*q**3 + 16*q)*(-6*q**2 + 2*q**2 + 2*q**2) - q**5 + 5*q - 5*q + q**5 + 3*q**4 - 3*q**4 + (-4*q + 2*q + 4*q)*(q**4 + 0*q**4 + 0*q**4).\nAnswer: -32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 7*k - 4. Let x be t(-5). Suppose 0 = u - 2. Suppose -x = -d - u*d. Solve 2*j + 1 = -j + 5*l, -d*j - 5*l - 9 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 - 35*c**2 + 14*c + 18. Calculate l(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12*n + 1133990 = 58*n. What is the greatest common divisor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76946.\nAnswer: 2, 79, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 1)*(0*b**2 - b**3 + 0*b**2) + (-3*b + 5*b - b)*(1 + 2*b**2 - 1).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 1:14 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -1039?\nAnswer: -1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 0.99. Let p = 1.8 - q. Let y = p - -0.1. Which is the biggest value? (a) 1\/9 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(117) + 2))**2 - (1 + -5*sqrt(13)*2 + sqrt(13)).\nAnswer: 57*sqrt(13) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 15*a**3 + 7*a**2 - a - 7. Let h(z) = 10*z**3 + 5*z**2 - z - 5. Let w(r) = -7*h(r) + 5*u(r). What is the second derivative of w(f) wrt f?\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 4, t: 5, v: 2, o: 1, q: 1}. Give prob of picking 1 q and 3 t.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -38, 0, 5, -24, 29, -6 in decreasing order.\nAnswer: 29, 5, 2, 0, -6, -24, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -1.3. Let b = x - 1.02. Let d = b - 3.98. What is the closest to 2\/3 in d, -2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1573) + 1 + sqrt(1573))*4 + 4)**2.\nAnswer: 100672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2125\/10*-2 + 1. Is -424 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190462615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -151 - -3605?\nAnswer: 3474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2005, -15857, -53441, -126619, -247253, -427205, -678337, -1012511?\n\"Answer: -1977*s**3 - 4*s**2 - s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q - 4. Let g(x) = -5*x + 3 + 12*x + 3*x. Let l(t) = 5*b(t) + 4*g(t). Let o be l(-4). Solve 2*p + p = o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1080, 8, -2983 in decreasing order.\nAnswer: 1080, 8, -2983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 5*z + 5. What is the remainder when q(-6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2)*(-5 - -6). Let s(d) = d**2 + d + 3. Let w be s(u). Suppose 2*c = l - 5, -w*l = 2*c - 68 + 21. Solve -4*j - 3*o = l, -o - 4*o + 25 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (150 - 114) + -34 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555465618?\nAnswer: 2, 7, 111104687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-30) + (-54)\/(-15) + -3. Suppose -2*l + 4*i + 26 = 0, 3*l - 6*l = -5*i - 35. Solve l*t + 3*q = 5, x*t + 18 = 3*t + 4*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - 1.67. Let f = -1.46 - m. Let n = -0.32 - 1.28. Put 0.3, f, n in decreasing order.\nAnswer: 0.3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*p - 15, 3*t - 4*p - 13 = -3*p. Let f be 58\/3 - t\/3. Calculate the greatest common divisor of 162 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*s - 3*s. Suppose 0*z - 1293 = -s*z. What are the prime factors of z?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**8\/2520 + 43*r**6\/900 - 7*r**5\/75 + 87*r**2 - 1. Solve b(n) = 0 for n.\nAnswer: -7, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.31311 + 98.43211. Let u = -0.119 + v. Let l = 96.99999922 - u. Round l to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*(-18)\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 14\/4*2. Suppose 0 = 6*l + 35 - 47. Factor 17*h**l - 5*h**2 - 6*h**2 - p*h - 2*h**4.\nAnswer: -2*h*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15541 (base 10) in base 8?\nAnswer: 36265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -654?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1323 + 9068. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3430054*i**2. Let f(r) = 2*r**2. Determine f(u(c)).\nAnswer: 23530540885832*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9010*m - 9016*m - 6*m**2 + 18026*m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 197*b + 1336. Give f(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -58*r**5\/15 - 308*r**4\/5 - 5504*r**3\/15 - 14464*r**2\/15 - 4608*r\/5 + 1024\/15 = 0.\nAnswer: -4, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122854*s - 580466*s + 3 + 4 - 5.\nAnswer: -703320*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 294 - 876 = 0. Let o = p + 117. Let f(z) = -z**3 - 3*z**2 + 2*z - 1. What is the remainder when f(-5) is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/7 - 10338*k\/7 - 116938944\/7 = 0.\nAnswer: -5487, 10656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3386 and 93\/382334.\nAnswer: 647291462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-31248)*-105*32\/(-12)?\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32419*u**2*v**2 + 5*u**2*v + u*v - 462 wrt v?\nAnswer: 64838*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 87?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 14 = -2*b, -17*b - 4*x = -19*b + 26. Calculate the greatest common factor of b and 1665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10156.987 - 10169. Let w = c - -12. What is w rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22846 take away 0?\nAnswer: -22846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 1 + 1)*(4*c**2 - 4*c**2 + 2*c**3) + (-4*c + c + 6*c)*(-3*c**2 + 3*c**2 + c**3).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210010 - -31?\nAnswer: -203313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0)*-5 + sqrt(144)\/sqrt(3) + sqrt(3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-1 + 1 - 1)*(3*i - 3*i + 2*i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1717 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r - 3*r - 6*r to the form i + l*r and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqtqqtqzzzqt. What is prob of picking 2 z and 2 q?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65389 bigger than 65391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -242, 4 in decreasing order.\nAnswer: 4, -1, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + -9 - (2 - 1). Let b(r) = r + s*r - r. Let p(y) = -9*y. Determine b(p(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a3 - -3814?\nAnswer: 44b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:16 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -49, -90, -147, -220?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 30. Which is bigger: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (-1 - (-39 + 7)). Calculate the least common multiple of 228 and 30\/(-12)*((-20)\/o)\/(-1).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 5. Let z be 3 - 7 - (-2)\/q. Suppose 0 = -j - j - 2. Is j < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1508961176 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/9317249 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + -1*sqrt(475) + sqrt(475))*5 + -4.\nAnswer: -4 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262244.232 - -8.\nAnswer: 262252.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppv. What is prob of sequence pvp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 4150453?\nAnswer: -4150502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**3*t + 2*o**3 - 715*o**2*t + 252*o**2 - 3*o*t + 19*o - t - 3 wrt t.\nAnswer: -o**3 - 715*o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Suppose x + 4 = -2*c. What are the prime factors of c\/11 - 79\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.39 - -0.09. Let x = -9.3 - -12.3. What is the third biggest value in 0.3, -5, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzp when three letters picked without replacement from pzzisnpn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 39321852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -50*c - 10*c**2 - 1\/12*c**4 + 0*c**3 + 7\/20*c**5 + 0. Differentiate g(w) wrt w.\nAnswer: 21*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (-10 + (12 - 6)). Solve j + j = x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:22 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92845 is divided by 774.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453897946 plus 1?\nAnswer: 453897947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/21*(-1 + 24\/(-12)). Let c(o) be the second derivative of 13\/3*o**a + 0 + 0*o**2 + 33*o + o**5 - 4*o**3. Let c(j) = 0. Calculate j.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 - 7*a + 140 - 769 + 482.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 14 - 8 - 4 - 100*a**2.\nAnswer: -100*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9) + 52\/12. Let u(h) = 2*h**2 + 7*h - 7. Let c(o) = -o**2 - 5*o + 5. Calculate a*u(m) + 7*c(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.622304 to 3 dps.\nAnswer: -0.622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x*x\/(x\/x**(-6\/13)))\/x)\/x)\/x)**(-26)\/((x*(x**(1\/18)*x)\/x*x)\/x*x\/x**(14\/3)) assuming x is positive.\nAnswer: x**(731\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 240, 360?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 - 884*j + 12698. Give m(206).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -4 (c) 3\/4 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/((-52)\/(-1)))\/(18\/(-40)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185943*j**3 + 9892233*j.\nAnswer: 1115658*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/120 - t**4\/24 + 3*t**3\/2 + 11*t**2. What is k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z - 15 = -31*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1530 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q - 6*q - 13*q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 2*b**2 + 3*b + 2. Let g be t(3). Does 2 divide (g + 4)\/(-3 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkkw when four letters picked without replacement from wkwkqqqqqqq?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 4. Let r be z(6). Let l be ((-18)\/(-15))\/(12\/r). Sort 3, -3, l in decreasing order.\nAnswer: 3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32\/3 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 19*i + 23. Let r be p(-20). Solve 6*k - 3*k + 4*o + 32 = 0, 5*k - r*o = -5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69412545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 6*a - 2. Let z be x(-4). Suppose 4*r = -z + 14. Suppose r*j + 2*j + 111 = b, j - 376 = -4*b. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12*a. Let s(h) = h - 1. Let z(l) = -6*l + 8. Let m(i) = 8*s(i) + z(i). Calculate m(d(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7593918, -15187834, -22781748, -30375660, -37969570, -45563478?\nAnswer: -53157384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5409519?\nAnswer: 3, 17, 73, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -533 - -523. Let b(j) = -165*j - 389. What is the tens digit of b(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 8 + 1 + 0. Let l(n) = -204 - n**2 - 4*n**m + 204. Let x(i) = -16*i. Calculate l(x(j)).\nAnswer: -1280*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19480 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 8*z**2 + 5. Let u(m) = m**2 - 1. Let g = 16 + -17. Let h(c) = g*a(c) - 5*u(c). Find the third derivative of h(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2790 = -3*d - 2*d. Suppose q - 145 = -4*u, -5*u = 4*q - 0*u - d. Suppose -156 - q = -4*s + 5*j, s = -2*j + 83. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 3, r: 1}. What is prob of sequence lrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 72609 = -3*v, -2*d = -4*d + v - 29037. Is d\/(-56) + (-2)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -362 + -2?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-40) + (-3)\/15.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*((-71)\/3)\/((-4)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 20 = -2*q, -q - 2*m + 14 = 4. Let i = q - 99\/10. Let w = 0.216288 - 0.616288. What is the nearest to -1 in w, i, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92.8 + -93. Put o, 1, -5\/3, 1\/2 in descending order.\nAnswer: 1, 1\/2, o, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151 - -154. Let y(m) be the first derivative of m**4 + 1\/24*m**6 + 2 - 2*m**2 - 2\/3*m**x - 7\/20*m**5 + 4*m. Let y(v) = 0. What is v?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 1, 3\/4, -12, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 135 = -0*p. Let d be 18\/(-30) - (-78)\/p. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7))**(-5\/8))**(31\/2)\/(t**(1\/4)\/t*t*t\/(t\/((t\/(t\/(t**(-2\/9)*t)))\/t)))**(-1\/60) assuming t is positive.\nAnswer: t**(-52309\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**2\/6 + 25445*h\/6 + 543125 = 0.\nAnswer: -125, 5214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**3\/3 - 9*m**2\/2 + 19*m - 25. What is the remainder when 24 is divided by k(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/9))**48)**(-2\/11) assuming y is positive.\nAnswer: y**(-128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26626 is divided by 26607.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vobb when four letters picked without replacement from {b: 2, n: 2, o: 2, v: 3, h: 1, d: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 28, 65, 116, 181, 260?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose -2*n = -a*n - 8. What is the third derivative of -2*u**4 - 2*u**4 - 2*u**n - 8*u**2 + 2*u**4 wrt u?\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/126)\/((-4)\/8)*(9 + -16). Sort 5, 2, 62, k in decreasing order.\nAnswer: 62, 5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/240*5)\/(6\/72*-13).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 9 = 45. Solve 0 = -6*w + 2*w - 3*j - 8, g*w = -5*j - 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*v**2)*(1 - 2 + 3) + v**2 - 5*v**2 + 3*v**2 + (-3 + 3 + 2 + (3 - 3 + 2)*(-2 - 2 - 1))*(4*v**2 - 4*v**2 - 2*v**2).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 23*z**2 - 6*z + 3. Does 20 divide g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a + 3. Let b(w) = w + 1. Let r(h) = 4*h**2 + 8*h + 8. Let k(i) = a*r(i) + 8*b(i). Let t(l) = 10 + 12 - 22 - l. What is k(t(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 62 = 19*d. Solve 0 = -4*f, -5*o = f + d + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = 3*n, 2*n - 1 + 3 = -4*u. Let t(i) = 3*i + 31 + 0 - 2*i. Let l be t(u). Calculate the greatest common factor of l and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2235.4.\nAnswer: -2231.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/14 - (-192)\/42. Calculate the greatest common divisor of s and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11476\/3020)\/((-1)\/(-5))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 164 = 28*y. What is the remainder when 15 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139442809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 times 0.5\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 365 * -0.1.\nAnswer: -36.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29213, -28373, -27533, -26693, -25853?\n\"Answer: 840*r - 30053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.90387 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a meter in micrometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 379884*p**3 - 1806757*p wrt p.\nAnswer: 2279304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.4343 weeks in nanoseconds?\nAnswer: 289357064640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/2 of a millennium?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -356*k**2 + 359*k**2 + 2*k**3 - 1 - 1205*k + 1175*k as o*k**3 + t*k + y + g*k**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56981242 to the power of 1\/2, to the nearest integer?\nAnswer: 7549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*x**3 - 314*x**3 + 2*x + 151*x**3 - 2*x.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -1293?\nAnswer: 9\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - -1163137.4\nAnswer: 1163137.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -57*h + 20. Calculate l(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71? (a) -1\/5 (b) 3 (c) 6 (d) -4.6 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337844*q**2*r**3 - 14*q**2*r - q**2 - 306*q*r - 277*r**4 - 27*r wrt r?\nAnswer: 2027064*q**2*r - 3324*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + k - 71, 16*o + 3*k - 61 = 12*o. Calculate the remainder when 138 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - -790.5. Let v = -734 + z. Which is the third smallest value? (a) v (b) 4 (c) -2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 + 2*l - 3. Suppose 0 = -2*c - 2*o + 12, 1 + 24 = 5*o. Let g be k(c). What is the nearest to -1 in g, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 - 7476*q**2\/11 - 29880*q\/11 - 29872\/11.\nAnswer: -2*(q + 2)**2*(q + 3734)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3\/3 - 7*k**2\/2 + 5*k + 1. Let q be (1\/4)\/(1\/12 - 0). Let l(j) = -j**2 + 7*j - 5. Let m be l(q). What is y(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 197 and 8784?\nAnswer: 1730448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11 = -p - 2*y, -y + 13 = 2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 33350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 z when four letters picked without replacement from {z: 3, r: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 55 - 12 - o)*(o**4 - 3*o**4 + o**4).\nAnswer: -o**5 - 43*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-16 + 33 - 23)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.99 to the nearest integer.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 2. Give a(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24142203031 + 1?\nAnswer: -24142203030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845444 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let y(q) = -5*q - 4. Determine -4*c(d) - 2*y(d).\nAnswer: 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(-6)*m*m)*m*m)**11 assuming m is positive.\nAnswer: m**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, a: 2, v: 15}. What is prob of sequence amvv?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 18 = -24*q. What is the least common multiple of q and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 less than 199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 946 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 282 - -34. Suppose -4*q + y = 48. Suppose 51 = 2*m - q. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 557, 833, 1111, 1391?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from ygzzgtdy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(1\/26)*y**(-37)*y*(y**(-35)*y)\/((y*y**(-36)\/y*y)\/y) assuming y is positive.\nAnswer: y**(-859\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9074, -35141, -78586, -139409?\nAnswer: -217610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7288462 and 519057?\nAnswer: 519056.2711538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1242 + 4451550?\nAnswer: 4450304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i + 48 = 3*o, -4*i + 4*o = -32. Suppose -7*l = -i*l + 730. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 98*n**5\/5 + n**2\/2 + 55*n - 37. Find the second derivative of y(o) wrt o.\nAnswer: 1176*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -287, -1026, -2455, -4790, -8247, -13042, -19391?\n\"Answer: -36*o**3 - 21*o**2 + 50*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g - 3. Let l be a(1). Let j(k) = k - 3*k + l*k. Let x(c) be the third derivative of c**4\/8 - c**2. Calculate j(x(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39762 - -59763. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117\/19 bigger than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 19*s + 11291. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 + (24 - 6) + -9 + 0 + 13 + -12\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*x + 501, 179 = 4*w + 2*x - 323. What is the greatest common factor of w and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m - m**3 + 219*m + 0*m**3 + 143*m to h*m + y*m**3 + b*m**2 + q and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 2 = -7*f. Solve -f*n - 2*n - 5 = 0, n + 10 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504\/55 equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17885948 is divided by 5961977?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56793, 56795, 56799, 56805, 56813, 56823?\n\"Answer: a**2 - a + 56793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 143*c - 693 - 312*c + 170*c)*(31*c + 11*c**2 - 31*c).\nAnswer: 11*c**3 - 8173*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 8.3. Round g to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2480 = -5*c - 11*c. Calculate the remainder when c is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v**2 + v - 9*v**2 + 7*v**2 + (-6*v + v + 2*v)*(-49 - 19*v + 49).\nAnswer: 67*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1989215 + 1989202. Let r = -1 + -4. Suppose n + n = -6. Put o, n, -2, r in descending order.\nAnswer: -2, n, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.532 - 4.032. Let h = 221\/4 + -56. Put h, -4, b, -1\/9 in decreasing order.\nAnswer: -1\/9, b, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 22*o + 0*o**3 - 1\/50*o**5 + 0*o**2 - 1\/20*o**4 + 2 + 1\/150*o**6. Find z such that u(z) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, c: 2, i: 6}. What is prob of picking 2 e and 1 c?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165 + 168. Solve 0*r + j*r = c - 11, 2*r + 19 = 3*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3694, 0, -1 in ascending order.\nAnswer: -3694, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035492 at most as big as 5035494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7345*l + 11*l**2 + 7345*l.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-984*u**2 - 3877*u**2 + 119*u**2 - 1928*u**2)*(0*u**2 + 0*u**2 - 3*u**2) to the form w*u**4 + x + q*u**2 + h*u**3 + l*u and give w.\nAnswer: 20010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 680 - 361. Let b = s - 39. Suppose -7*z = -9*z + b. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o - 5. Suppose 40*d = 32*d + 32. Let w = d - 17. Let i(k) = 8*k + 11. Give w*l(t) - 6*i(t).\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111.276 - 111. Let y = 0.024 + g. Let x = y - -3.7. Which is the nearest to -1? (a) x (b) 2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.17963282 rounded to 2 dps?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 3*h - 0*h, -5*k = -h - 13. Suppose h*y - y - 3 = 0. Sort -3, 1, y in descending order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h**2 - 7*h - 9. Let l(p) = 6*p**2 + 4*p + 1 - 4 + 0 - 6*p. Let f(z) = -2*c(z) + 7*l(z). Find the first derivative of f(y) wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 - 65*l**3 - 115*l**2 - 55*l.\nAnswer: -5*l*(l + 1)**2*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011111110101011 - -1111?\nAnswer: -101011111110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.3 (c) 53475\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(sqrt(36) - sqrt(324) - sqrt(36)))\/(sqrt(300)*3).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m + 50*m + 5 = 0. Let q(u) be the first derivative of 0*u + 3\/35*u**m + 0*u**2 + 16 + 0*u**4 + 0*u**3. Let q(a) = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 3*n**3 + 2*n**3 + 2*n**3 - 6*n**3 - 2*n**3 + 0*n**2 - n**3 + 0*n**2 + (-4*n**2 + 3*n**2 + 0*n**2)*(0 + 0 - n) + 0*n**3 + 3*n**3 - 5*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, h: 2, n: 11}. What is prob of picking 1 b and 3 n?\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2448) + (-3*-1*sqrt(2448))**2 - sqrt(2448)) + 3 + 4 + ((sqrt(2448) + 0)*5)**2*6.\nAnswer: 389244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000100000 (base 2) to base 8.\nAnswer: 10040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o. Let a(x) = -85*x**2 - 51. Let z(r) = -2*r**2 - 1. Let i(s) = a(s) - 51*z(s). Calculate i(y(q)).\nAnswer: 1377*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 157745633 to the power of 1\/2, to the nearest integer?\nAnswer: 12560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + m - 1 + 0. Let o(c) = -c + 1. Let x = 640 + -643. Give x*g(f) - 3*o(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 572255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -544641.90100208 - -544642. Let k = o + -0.099. Round k to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -346564 (base 7) to base 16\nAnswer: -f3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 + 0*n + 0*n. Suppose 4*x = -x - 3*q - 15, -3*x + 4*q - 38 = 0. Let w(k) = -5*k**2. Give x*h(u) + 5*w(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 9*t - 165. Let v = t + -4. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2403a2 (base 11) to base 8\nAnswer: -1350325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7854, 16233, 24612?\nAnswer: 32991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46576 (base 12) in base 9?\nAnswer: -153100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/8 - 36241581*s\/8 - 54362385\/4.\nAnswer: 3*(s - 12080530)*(s + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5719637837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 15 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847957714?\nAnswer: 2, 83, 151, 33829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679092805?\nAnswer: 5, 135818561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/15*(-3)\/4*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 + 262*y + 104 = 0. Calculate y.\nAnswer: -52, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 6. Let o(i) = i**2 + 5. Let z(w) = 6*o(w) + 5*x(w). What is the second derivative of z(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 - 4. Let z = -34.4 - -36.4. Which is the second biggest value? (a) z (b) x (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8168 + -1?\nAnswer: 8167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8365612 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.62 + 0.1. Let n = -0.57 - a. What is n rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1892138 litres in millilitres?\nAnswer: 189.2138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7783*1.\nAnswer: 2.7783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**18*p**(26\/3))\/(p**(-32))**(-6\/29) assuming p is positive.\nAnswer: p**(-1301\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*p - 6 = 0, -m - 6 = -3*m - p. Let c be (18\/27)\/(m\/(-6)). Is (c + 0)\/((-4)\/284) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26c0 (base 16) to base 5\nAnswer: -304140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 6710592.\nAnswer: 6710592","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 2, l: 2, r: 8}. Give prob of picking 1 h, 1 l, and 2 t.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 3. Let c be y(0). Which is bigger: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345*l + 1050*l + 930*l - 267852 = 673*l for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 7*h + 6. Let w be g(-6). Suppose 3*c - 13 = 5. Solve w*f + 2*f = c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161796271 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -0.055?\nAnswer: -14.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 4. Let h(w) = -w - 4 - 2 + 2*w. Let k be h(g). Solve -m = k*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 45 - (166 - 152).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*y + 69*y - 2 - 11*y**3 + 0.\nAnswer: -11*y**3 + 73*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*l + 140 - 136 + 38*l.\nAnswer: 75*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agevevtgetetgesetge. What is prob of sequence sg?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h**2 - 10*h - 5. Let t be i(-1). Which is smaller: 21 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 8*k. Let i(p) = -p**2 - 8*p + 2. Let f = -3 - 5. Let t be i(f). Let m(x) = 10*x - x - 29*x**2 + 28*x**t. Give 6*m(b) - 7*y(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9 (b) -1.6 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let m(y) = 7*y**2 - 3*y. Let t(d) = -d**2. Let f(v) = -3*m(v) - 6*t(v). Let n(b) = -f(b) + 3*r(b). What is the units digit of n(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 2, m: 1, g: 9, l: 5}. Give prob of picking 1 g, 1 y, and 1 m.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = -y + 63, 5*y - 27 = -s. Suppose 135 = -n + 4*m, -5*n + 5*m + 48 - 738 = 0. Calculate the common denominator of n\/s - (2 - 5) and -61\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6893 and 57981317?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*r + 540 + 333 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1459040 divided by -8\nAnswer: -182380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 11\/3, -3, -40 in ascending order.\nAnswer: -40, -3, -0.2, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 83 = 4*f, -2*f - 20 = -f + 2*r. Let t = 36 + f. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 - (-274 - -71 - -94)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 827675238, 827675236, 827675234, 827675232, 827675230, 827675228?\nAnswer: 827675226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -0.5 (c) 2\/5 (d) 0 (e) 0.007 (f) 44\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 2. Suppose -17 = -5*v - 2. Let i be d(v). Solve -3*q - q = -i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (308\/(-4))\/(-13 - -12). Let j(q) = -4*q - 5. Let p be j(-4). Calculate the highest common divisor of p and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 3. Let n be a(-4). Find the second derivative of -c**5 - 29*c + 0*c**n - 5*c**5 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -294 + ba2?\nAnswer: 90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 24381.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/30, -0.12, 4\/5883.\nAnswer: -0.12, 4\/5883, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - f - 5 = 0, 0*w + 15 = w - 3*f. Suppose -5*p = -w*p + 4*v - 28, 2*v + 16 = 5*p. Let j be p\/176*16\/10. Are j and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77211384 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-803 - (-12)\/(-2))\/(-2 + 25\/13)?\nAnswer: 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34759 divided by -1\nAnswer: -34759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*j - 335, 52*c + 1567 = 57*c + 2*j. Let l be 14*(-1 - -2) + 1. What is the greatest common factor of l and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -29. Let q be (m - 3)\/(3\/9). Suppose q*x + 2*x + 2*y - 550 = 0, 0 = -5*x + y + 565. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 5*b + 5. Let y(l) = l**2 + 6*l + 5. Let u(s) = 6*o(s) - 5*y(s). Does 15 divide u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9902 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: Let l(z) = 6*z**2 + 11*z - 6. Let s(h) = h**2 + 2*h - 1. Suppose -3*x + 3 + 63 = 0. Let a = 16 - x. Determine a*l(o) + 34*s(o).\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48543460 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5635014 divided by 2817507\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1079740096*l*p**3*x - 23*l*p**2*x + 3794*l*x - 4*p**2 wrt p?\nAnswer: 6478440576*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205\/2*18\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80829 is divided by 539?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -276, 29 in ascending order.\nAnswer: -276, 1.4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8787, -8780, -8771, -8760, -8747?\nAnswer: -8732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162.94 + 159. Let l = -7.06 - -7. Let b = h + l. Sort 3\/5, -1\/3, b in decreasing order.\nAnswer: 3\/5, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + ((-189)\/(-24))\/(-7). Let w be ((-4)\/(-40))\/(-3*1\/(-18)). Which is the nearest to 1? (a) w (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 11*d + 9. Give c(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*t - 24, -5*a - 2*t = -10*a + 10. Suppose 3*n + 3*w = -18, -4*n + a*w - w + 4 = 0. Put 2, 5, n, -1 in decreasing order.\nAnswer: 5, 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2943 * 0.3\nAnswer: 0.08829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 2*p**2 + p + 3. Let c be f(3). Find the common denominator of 77\/8 and c\/(-4) + 3010\/(-120).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 16*x**2 - 14*x + 18. Let h be y(-15). What is the second derivative of -3*j - h*j - 4*j + j + 3*j**2 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 35 (b) -1\/11 (c) 0 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2234\/((2 - 1)*10). Let f = -1068\/5 + a. Calculate the common denominator of -83\/2 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19493696 divided by -59432?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**3 - 45*h**2 - 11*h + 59. Calculate the remainder when y(13) is divided by 160.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05179 to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18923 = 4*z, -10*z = -5*z + 5*p + 23660. Let u = -1201685 + 7238423\/6. Let o = z + u. Find the common denominator of -19\/8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**3\/l*l)\/l))\/l)\/l**1)\/((l*l\/(l\/l**(2\/3)))\/l*l*l\/l**(-2\/5))*(l**1)**(-47)\/(l*l**0)**(-35) assuming l is positive.\nAnswer: l**(-286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 0.2 (c) 6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18169 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*b + 158*b**2 - 70*b + (-3*b - 2*b + 4*b)*(3*b + 0*b - b) to the form x + y*b**2 + l*b and give y.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 + 4 - 4 - 2*f**2 + (12*f**2 - 3*f**2 + 5*f**2)*(-f**2 - 1 + 1) in the form y*f**3 + h*f + u + n*f**4 + w*f**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b - 36*b = -381*b - 21791 for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 4. Suppose -3*v = -v - 10. Suppose 0 = g - 2*p + 3*p + v, -4*p = 3*g + 20. Calculate the smallest common multiple of 2 and h(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 5*x**3\/6 - 12*x**2 + 67*x. What is the tens digit of r(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3)\/(2\/(-30)). Let k(s) = s**3 - 8*s**2 - 18*s - 15. Let j be k(10). Solve 0 = -3*f - 15, -j*g + 2*f - y = f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:36 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 725505013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*a + 668 = 0, -h - 3*a = a - 338. Let v be h\/11*2\/5. List the prime factors of (6\/4)\/(9\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 + 1. Let z be f(1). Let r(b) = b**2 - 6*b - 4. Let m be r(z). Let h be (-105)\/m + (-2)\/8. Solve -3*a - a - h = -2*p, -a = -4*p + 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 847 - 22577*h - 2467*h - 369 - 478 to the form v + t*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30932 and 12616?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from iiijjijiciai?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 317*l + 49. Let k be c(3). What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 120 = 8*y. Calculate the greatest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -41, -10434?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118159 is divided by 3282.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*w - 0. Let o be 13\/(-91) + (-12)\/14. Let n be 23 - (o - 5)\/(2 - w). What is the highest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6926256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.3 + 6.7. Let v = -10.02 + a. Let g be 13\/(-4) - (0 - 3). What is the third biggest value in 4, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-3)*26\/(-78).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -7. Let r be (1\/2)\/((-1)\/s). What is j in 4*j**2 - 4 + 0*j**r + j**3 - j**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/2)\/4 - 48. Let y = m - -48. Let j be (-1)\/(4\/(-40)) + y. Solve 2*x + 2*z - 5*z + j = 0, -2*z + 14 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -54. Suppose 2*w - l = -2*f + f, 5*w + f - 55 = 0. Let o be 8\/(-20) - (-184)\/w. Solve -4*m - 2*y = -o, 0*y = m - 2*y - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12062010005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 + -5) - (15 + -16 + 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12039, -9142, -4321, 2424, 11093?\nAnswer: 21686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 4. Let s be b(-4). Let z be (-10)\/(-35)*14\/s. Let d be -1 - 0\/(4 - 2). Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/(-441)*-7*(-7)\/2. Sort 1936, 1\/6, -5, z.\nAnswer: -5, z, 1\/6, 1936","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - -24799.\nAnswer: 24798.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -9. Let x = 13 - c. Calculate the highest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*g - 12 = 0, -11*g = -5*u - 9*g + 2. Let i(a) = -2*a**u + 337 - 167 - 170. Let h(x) = 22*x + x**2 - 3*x**2 + 3*x**2. Calculate h(i(v)).\nAnswer: 4*v**4 - 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253.978 - -254. Let q = k + -0.01911. Round q to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*w - 211*w - 209*w + 625*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325947344 or -325947345?\nAnswer: -325947345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6971578 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 100209*x + 300610. Determine g(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**3\/3 + z**2 - 1. Let h be y(-2). Suppose u + u - 4*i - 48 = 0, h = 5*i. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26180 by -14.\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 + (-68)\/(-18). Suppose a - i*a + 9 = 0. Let g(v) = 2 - v - v + a*v. Give g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*t**2 - 23 + 29 - 7*t**2 wrt t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 634375*b**3*d*r - b**3*r + 2*b*d*r + b*d - 83*b + 593*d*r + 2*d - 8 wrt b.\nAnswer: 3806250*b*d*r - 6*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Suppose l*b - 1 - 19 = 0. Suppose -3*x + x + b = 0. Solve -v + 0 + x = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*h - 136 + 56 = 0, -5 = -y - 2*h. Sort y, 2, -6 in descending order.\nAnswer: 2, -6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -19. Let u = o + -44.7. Let t = 1.1 + -1. Which is the second biggest value? (a) -4 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*x + 49. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463670.\nAnswer: 2, 5, 199, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.2, 95, 19, 1.6, -0.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 5, 1, 2, 1.36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**3*p**4 - 2*h**3*p + 973*h**3 - h*p**2 with respect to p.\nAnswer: -16*h**3*p**3 - 2*h**3 - 2*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3507863 to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -733 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4 = -2*s + x, -5*s - 13 = -2*x. Let h be ((-134)\/18)\/((-1)\/s). Let o = h - -23. What is the second biggest value in 0.1, o, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2\/2 - 117*x\/2 - 676 = 0.\nAnswer: -104, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13801866791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 + 2200 = 64*s + 6*s for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 9 - (0 - 15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 1, e: 1, r: 1, q: 1}. What is prob of sequence rww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57967*c**2*g**2*k + c**2*g**2 + 22*c*g**2*k + 6*c*g**2 - 37*g**2*k + g wrt c?\nAnswer: 115934*g**2*k + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, 0, 1, 0.5, -30757, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-26 - -16) + 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 5*m + 25*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2 - 5997*l + 132418 = 0.\nAnswer: -6019, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 107, 261, -5, 1, 0 in descending order.\nAnswer: 261, 107, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o + 12 + 0*o - 6*o + 7 to the form v*o + s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35905\/12978 - 2\/32445. Calculate the common denominator of r and 97\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) 2\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14608132 to the power of 1\/2, to the nearest integer?\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54666, -109114, -163562, -218010, -272458, -326906?\n\"Answer: -54448*s - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 7:42 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3\/3 + 2*f**2 + 2*f + 8. What is o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - t + 17. Let n(q) = -2*q**2 - 2*q + 32. Let c(x) = -4*n(x) + 7*w(x). Suppose 0 = -2*v + v. Give c(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:10 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92020.\nAnswer: 2, 5, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 17*m**2 + 75*m - 43. Let u(y) = -4*y**2 - 19*y + 11. Let d(p) = -9*u(p) - 2*x(p). Let h be d(-11). List the prime factors of (17\/h*-2)\/((-1)\/(-3)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 - 5097*k**3 + 2476971*k**2 - 264776931*k + 7890455430 = 0. What is k?\nAnswer: 55, 78, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177.1 - 174.1. Which is the closest to -0.1? (a) r (b) -5\/14 (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -169*q**2 + q + q + 170*q**2 + 5*q**3 + (-5 + 2 + 2)*(2*q**3 + 0*q + 0*q) - 3*q**3 + q**3 + 0*q**3 to c + v*q + s*q**3 + o*q**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - 0.6. Suppose n + 640 = 11*n. Let r = n - 52. Sort r, a, 0.3 in increasing order.\nAnswer: a, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/53)*k**(-37)*(k**(5\/16))**(-45) assuming k is positive.\nAnswer: k**(-43269\/848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:17 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -27*m + 60. Put m, 5, 4 in decreasing order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16191 = -25*s + 356*s - 24853 for s.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/3)\/(1610\/(-414))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 5:59 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*j**4 + 31*j**3 + j**2 - 9465*j.\nAnswer: -228*j**2 + 186*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-9 + 8 + (0 - (3 - 4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38806*s**3 - 6617*s wrt s?\nAnswer: 232836*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/7 + 337212*w\/7 + 9475994412\/7.\nAnswer: 3*(w + 56202)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1534414 millilitres to litres.\nAnswer: 0.0001534414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -17 + 9 + -1 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k = 5*f - 16, -2 = -5*k + f. Suppose -2*i + k = -7. What is the second derivative of 4 - i + r - r**5 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**3\/6 + 23*b**2\/4 - 165*b - 367. Factor f(j).\nAnswer: (j - 10)*(j + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23\/2*(1 + 1). Let t(v) = -15*v**3 - 2*v - 1. Let z be t(-1). Solve 3*k = 5*r - z, 5*k = -5*r + w + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -143 - -575\/4. Sort -3\/4, a, 2 in descending order.\nAnswer: 2, a, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -30, 3, -48.\nAnswer: -48, -30, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109663988 a multiple of 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11110110101111001 (base 2) to base 3\nAnswer: 20102021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*114\/(-24) - (-3)\/(-4). Let u(c) = 4*c**3 + c**2 + 3. Let q(h) = 5*h**3 + h**2 + 4. Determine s*u(p) - 3*q(p).\nAnswer: p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.68 + -0.78. What is the nearest to 3 in -0.3, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/25 in 2\/29, 0, 2\/3, 3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 2*z**3 + 30 - 3*z**2 - 3*z**3 to the form y*z**3 + p + d*z**2 + k*z and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -191230000 rounded to the nearest 1000000?\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 12841761868?\nAnswer: 12841761867.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2 + 136768*a - 1169092864 = 0.\nAnswer: 17096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5202.1 milligrams in kilograms?\nAnswer: 0.0052021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/70*-2*2\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019149742.\nAnswer: 2, 13, 307, 127681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-3 - -4 - 0))\/((-4)\/80*5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (16 + -14)*(-37)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 4754\nAnswer: -1\/2377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 104*t**2 - 216*t.\nAnswer: 2*t*(t - 54)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-441)\/(-12348))\/(2\/((-80)\/46))*6\/(-15)?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10785000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -217, -444, -749, -1126, -1569, -2072?\nAnswer: -2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 29742?\nAnswer: 565098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11519 - -11520. Solve 5*l + v = -4*i, 5*i - 2*i + l = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4881976599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**2 + 2*i**2 - i + 8 - 2*i**2 + 3*i + i**3. What are the prime factors of x(7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 48. Let f be z(15). Let t = 78 - f. Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792347 is divided by 638?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-14))\/((-909)\/606)*2\/(-8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -39, 370, -3\/5, 2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21) + 25\/((-13125)\/(-180))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12741 and 1488.\nAnswer: 203856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50126.421 - 50157. Let y = z + -1.071. What is y rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43465.04 and -32?\nAnswer: 43497.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l - 1. What is the remainder when g(21) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*2\/(-4) - -853. Let l be 2\/(-7) - g\/(-42). Solve -3*h = -3*w - 6, -2*w + l = -2*h + 6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 0.8. Let b be (-2)\/5 + (-7084)\/(-660) + -11. What is the third smallest value in g, 1\/2, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**3\/2 + 6*i**2 + 6*i. List the prime factors of d(9).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 33*w + 392 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -35 - 2*b**2 + b**3 + 22 + 8*b**2 - b**2 + 16. Suppose 5*k = 2 - 27. What is l(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (-45 + 24 + -1) - 75?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41974, 77744, 113506, 149254, 184982, 220684, 256354?\nAnswer: 291986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3640*y**3 - 2*y**2 - 231*y - 3.\nAnswer: -21840*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*h**2 - 32*h**3 - 31*h**2 - 18*h**2 - 22*h**2 + 69*h**3 - 26*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -239, -657, -1235, -1973, -2871, -3929?\n\"Answer: -80*a**2 - 178*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464834 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3\/3 - 7786676*v**2\/3 + 7786679*v\/3 + 5191118 = 0.\nAnswer: -7786677, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 12:53 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 187*n + 19.\nAnswer: -187*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -3*g - 41*g - 289 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 3*q. Let n be d(4). Let j be 1\/(0 - 2\/4). Let x = 8 + j. Solve -x*u + 2*u + n = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 15) + 31 + -65 + 56.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 669301937?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0293? (a) -1\/4 (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04263528 to 4 decimal places.\nAnswer: 0.0426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 + 18 = -40*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*g + 137*g + 25*g + 1393 = 41*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 8) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 36. Let p be u(-14). Is p\/(-24)*240\/(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10272439097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - 566*m**2 + 4939*m - 1903. Determine v(274).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-1 + -1 - 3\/1). Let j = 11 - 5. Calculate the greatest common factor of j and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -55 - (87 + -75 + -2 + 3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -82a - 21a?\nAnswer: -a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 1, e: 2, c: 1, l: 4, z: 2}. Give prob of sequence ml.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/10*2475\/(-1485)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -86. What is the highest common factor of g and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -14442330?\nAnswer: -14442334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24461800 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33, 58, 99, 156?\n\"Answer: 8*w**2 + w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94243810 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16706 by 3.\nAnswer: 16706\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l - 32. Let o be g(5). What is the second biggest value in 0.02, o, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -41713*k. Let h(r) = -89*r. Give v(h(d)).\nAnswer: 3712457*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 9*k**2 + 5 + 0*k + 11*k**2 + k**3 - 7*k**2. Let v(s) = 39*s**3 + 2*s - 1. Let p be v(1). Suppose w + 9*w = p. Determine l(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*n + 130 = -2591, 2*o - 5435 = -3*n. Calculate the greatest common factor of o and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + i**3 - 10117*i**2 - 947*i - 58 wrt i?\nAnswer: -12*i**2 + 6*i - 20234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 28*v + 6 - 4 + 98*v**2.\nAnswer: 98*v**2 + 28*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.09331234 - -4\nAnswer: 2.90668766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-7))**(-33)*(c**(-1\/2))**(-18) assuming c is positive.\nAnswer: c**(-255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*f**2 + 679 + 3*f + 2*f - 676 - 7*f**2 + 14*f - 14*f + (0 - 1 - 1)*(-2*f**2 + 0*f + 0*f) as b*f + a + y*f**2 and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2889 and -16\/405.\nAnswer: 43335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 4*r - 64 = 0, 12*r - 7*r - 44 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1728\/(-9) - -120)*(-82)\/30. Solve -f*o - 396\/5 + 3*o**2 = 0 for o.\nAnswer: -2\/5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2) - 0 - (-416)\/16. Calculate the highest common divisor of 266 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 15*p - 14. Let l be h(-16). Let j = l - -8. Suppose j + 34 = 4*s. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 220*h**2 - h + 1. Let p(s) = 2*s**3 - 3*s**2 - s + 1. Determine k(n) - p(n).\nAnswer: -n**3 - 217*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-110) + (-134)\/(-11). Let f(v) = -v**3 + 11*v**2 + 11*v + 10. Let j be f(r). Let z = 70 - j. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0.9, 0.07, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 - 7*k + 3. Let s be y(-8). Let b(j) = -j**2 - 7*j + 1. What is the tens digit of b(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(75) + 2.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17715 - 2091. Is s a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/12 - a**3\/3 + 3*a**2\/2 + 13*a. Let q be r(1). Find o, given that 2\/5*o**q + 4\/5 - 6\/5*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.5 (c) 4\/301 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/2))**(5\/3))**(-9)\/(((c\/c**(-1))\/c)**(-29)\/(c**(6\/7)\/(c\/(c*c**8)))) assuming c is positive.\nAnswer: c**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -471 times 204.805\nAnswer: -96463.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 741.3302l?\nAnswer: 741330.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:32 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2871915g?\nAnswer: 0.0002871915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33474606 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/4 + 62*7. Let k = 931 - o. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 = 20*i - 474. What is the greatest common factor of i and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852165.\nAnswer: 3, 5, 29, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 42 = -132. Let j(l) = 20*l. What is the remainder when m is divided by j(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*h**2*q**2 - 2*h*q**3 - h*q*r - 6*q**3 - 18*q*r wrt h.\nAnswer: 26*h*q**2 - 2*q**3 - q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.18 + -0.18. Let f = n - 6.6. Which is the second smallest value? (a) 4 (b) 1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 75.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4205*k**3 + k + 17293 wrt k?\nAnswer: -12615*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/11 and -91\/26128420?\nAnswer: 287412620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/(26\/(-104))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Suppose -f*p - 5*y - 620 = -3*p, -1608 = 5*p - 2*y. What is p rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497015 is divided by 124247?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-12)*4\/40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621 and 16307.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106.063 - -106. Round y to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from ccaopff.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4*(sqrt(448) + (sqrt(448) - sqrt(448)*2) + sqrt(448)))**2*4 - (1*(0 + sqrt(448) + 1))**2)*5.\nAnswer: -80*sqrt(7) + 141116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2100)*-2 + sqrt(2100) - sqrt(2100)) + sqrt(336)*1)\/(sqrt(120)\/sqrt(10)*6) + 2.\nAnswer: -4*sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 15. Let u = -53\/6 - x. Suppose -h + 0 = 4*d + 4, -4*h + 3 = -3*d. Which is greater: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 301334, 602675, 904016, 1205357?\n\"Answer: 301341*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/390)\/(2\/21*(-28)\/(-16)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*b + 24 = 5*t, -t - 5*b + 20 = 0. Suppose 5*c - 10 = n, -8 = -4*c + 6*n - 4*n. Let m(l) = -l + 4. Let y be m(c). Solve t*a = y*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, 29, 182, 367, 584?\n\"Answer: 16*c**2 + 73*c - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -186 + 157 + (0 - -18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 861*i**2*w**3 + 8*i*w**2 - 4*w**3 wrt i?\nAnswer: 1722*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 624 and 24?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 6*h**2 + 3*h - 15. Let d = 184 - 169. What is the lowest common multiple of d and v(-3)?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 577 = -z - 587, 8 = -g - 5*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35069*v**3 + 11555*v wrt v.\nAnswer: -210414*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 15*v**2 + 11*v - 25. Calculate d(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 733, 2161, 3589, 5017, 6445?\n\"Answer: 1428*z - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10 + 0*r + 5*r - 4*r. Let m be n(-8). Sort -3, m, -4 in descending order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*z**5 - 1425313*z**4 + 47982673*z**2?\nAnswer: -900*z**2 - 34207512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731964566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:27 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -277470 divided by 138735\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:46 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*d**2 - 87*d**2 - 88*d**2 - 183.\nAnswer: -d**2 - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**5\/120 - 199*h**2. Factor a(q).\nAnswer: -q**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 - 7*a + 7*a)*(3797*a**2 + 81*a + 104*a + 107*a - 292*a).\nAnswer: 22782*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 12 = 4*v. Which is smaller: v or 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {e: 1, u: 1, j: 1, p: 2, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-244)\/2*(-8)\/(16\/6)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*w + w + 10, w + 13 = -4*f. Let z be ((-2)\/f)\/((-3 - -2)\/16). Which is smaller: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/15 + (-43)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24372054 minus -2032?\nAnswer: -24370022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -1. Let q = p - -6. Is (-90)\/(-8) + q\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 478*y - 17. Let i(b) = 8*b**2. Determine i(d(m)).\nAnswer: 1827872*m**2 - 130016*m + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 7867*y**6\/60 - y**5\/60 - y**4\/2 - 19*y**3\/3 - 1280*y**2. What is the third derivative of g(w) wrt w?\nAnswer: 94404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1938*i + 1961*i - 1719*i + 2106*i.\nAnswer: 4286*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36627 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 9:24 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 49725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 150225240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -4, 2, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2028\/(-50))\/((-20)\/50). Let s = j + -101. Which is the nearest to s? (a) 0 (b) 1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((275\/60)\/(-11))\/(30\/(-48)). Let -4\/3*y**3 + 4\/3*y**2 - 2\/3 + q*y**5 + 2\/3*y - 2\/3*y**4 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 319. Suppose 2*x - f - 296 = 0, -2*x + 4*x - 3*f - c = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2369 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23904 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514157189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6163275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2879086, -5758160, -8637220, -11516260, -14395274, -17274256, -20153200?\n\"Answer: z**3 + z**2 - 2879084*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s - 14. Let g = 24 - 16. Suppose -7*q - g = -29. Let x be t(q). Solve c + x = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -61.8. Let z = 8 + -6. Let u be z*((-7)\/3 - -2). Sort b, u, -0.4.\nAnswer: u, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 4*q - q)*(2*q - 2*q - 2*q) + q**2 + q - q + 12*q**2 + 458*q - 458*q - 28.\nAnswer: 11*q**2 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 1263 = -1319 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 31, -61, -189, -353?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15894 divided by 1?\nAnswer: -15894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a. Let d(o) be the first derivative of o**6\/72 - 5*o**3\/3 - 8. Let u(s) be the third derivative of d(s). What is j(u(i))?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 18447\/55100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287610 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 15. Let p be (3 - d)*1*-10. What is the highest common factor of p and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39817962487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055215 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1921372586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**3 + 8645*k**2 + 3741120*k + 3732480 = 0.\nAnswer: -864, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -0.007406?\nAnswer: 0.407406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 14714?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41800 and 142215?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (462\/1617)\/(-2 + (-226)\/(-112)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26, 61, 84, 89, 70, 21?\n\"Answer: -u**3 + 42*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*i + 45, -i = 2*w - 5*w + 190. Suppose -6*x = -x - w. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r + 3*r**4 - 4 - 12*r + 0 + 22*r - r**3 to x*r**2 + s*r**3 + v*r**4 + u + m*r and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281\/364 + 2\/91. Let u = -1008.09 - -1004. Let a = -0.09 - u. Put 5, a, x in decreasing order.\nAnswer: 5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3895085*p - 10120778 wrt p?\nAnswer: -3895085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - a - 1. Let w(r) = 6*r**2 - 5*r - 3. Let f(y) = -15*s(y) + 3*w(y). Differentiate f(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 261*u**3 - u**2 - 12*u + 33. Let g be y(2). What is the greatest common divisor of 1274 and g?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197867.\nAnswer: 29, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1238\/7 in -2, -62, 30\/11, -0.4?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 63, 101, 151, 219, 311?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1690004 decades in years?\nAnswer: 1.690004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 54. Suppose -2*v - 32 - 12 = 3*x, -3*v - 88 = -x. Let a be m(v). Let l(o) = -3*o**2 - o + 4. Let h be l(3). Do a and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -21 - -35 - (-8 + 81)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzs when three letters picked without replacement from {z: 2, s: 1, u: 1, d: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7252.51 to the nearest one hundred.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(1573)*-1 + 0 - (-5*sqrt(1573)*2)**2) - (-1*(sqrt(1573)*2 + 0 + sqrt(1573) + 5*(sqrt(1573) + 1)))**2).\nAnswer: -1044493 - 946*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-6) - (-2)\/6. Suppose s = w*s - 2. Let i be (52 - 0\/3)*s. Calculate the greatest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17981098181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55736*y*z**4 + 24*y*z**2 + 6*y*z - y - 3 wrt z?\nAnswer: -1337664*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 871, 1299, 1723, 2143?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - j)*(2*j**2 + 2*j**2 - j**2)*(6*j + 5*j - 6*j).\nAnswer: -30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 14*h. Let q(c) = c**2 - 4591*c + 2337. Let z(g) = q(g) + 2*w(g). Differentiate z(n) wrt n.\nAnswer: -2*n - 4563","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*b + 237*b - 224*b + 245*b + 69*b in the form s + j*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 + (-1 - 10 - 21)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 6 = 0. Suppose -x + w*v = -10, 4*x + 3*v = -x - 4. Solve 3*o + x = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*14*12\/24024?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)*m**(-4\/5))\/(m**(-1))**(-22)*(m\/m**(2\/27)*(m**(-5)*m*m*m)\/m)**(1\/33) assuming m is positive.\nAnswer: m**(-411871\/17820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 349*l**2 + 1416*l + 40. Calculate t(4).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 990 and 6?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83422 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2) + -176 + 177. Let u(v) be the third derivative of -22*v**f + 0*v + 11\/20*v**6 + 37\/30*v**5 + 0 + 3\/35*v**7 + 2\/3*v**3 + 5\/4*v**4. Factor u(o).\nAnswer: 2*(o + 1)*(o + 2)*(3*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/80)\/((-12)\/10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*f*o**2*v + f*o**2 + 111*f*o*v - f + 14*o**2*v + 737*o*v wrt o.\nAnswer: 312*f*v + 2*f + 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438787, -877344, -1315901?\nAnswer: -1754458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*o + 302 = 60, 5*o = -n + 242. Calculate the greatest common divisor of n and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -335 - -335.2. Let d = -0.4 + 0.3. Let i = d + -0.2. What is the smallest value in i, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -45) + -18 - (-2 - -37).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, m: 10, y: 3, g: 3}. Give prob of picking 1 y, 1 i, and 1 m.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/61, -20, -2\/17, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**6*t**3 - 2173*g**6 + 3*g**2 + 22*t**3 wrt g?\nAnswer: -240*g**3*t**3 - 260760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, 0.4, 24, -414, -63?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + l + 3*l)*(-4 + 1 - 2)*(12*l - 3*l - l) as s*l**2 + w*l + o and give s.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*g - 678 = 765 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 716.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w - 20. Let t(p) = 2*p**2 - 15*p + 11. Let q be t(w). What is the highest common factor of 16 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 7*r**2 + 2*r + 16. Let y be u(-7). Suppose -a + 4*h + 0 - 3 = 0, y*a + h + 6 = 0. What is the third smallest value in a, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136350*k**4*v - 2*k**4*y + 2*k**2*v*y - 160*k**2 + 2*k*y + 8*v*y + 3*y wrt k.\nAnswer: -3272400*k*v - 48*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.0222419 and 17?\nAnswer: 19.0222419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnkf when four letters picked without replacement from llffcfffdknklfcfkf?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1443 times 32316\nAnswer: 46631988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c - 18. Let r(t) = -3*t + 19. Let b(u) = 6*r(u) + 5*s(u). What are the prime factors of b(16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by 597547.\nAnswer: 204\/597547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12511, -12513, -12515, -12517, -12519, -12521?\n\"Answer: -2*c - 12509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 10*w - 36. Suppose 12*m - w = 9*m. Solve 0 = m*x + x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98054921399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*k - 14. Let y be (14\/4)\/(k\/(-28)). Suppose -d = -46 + y. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2430 = -3*l - 1444, o = l + 1937. What is the remainder when o is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*3 + 12\/6. Suppose 3*r = -n + 2. Let u be 5*(-3 - r - -2). Solve 0 = -3*h + 12, u*k - 4*h + 7 = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 5:29 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75442, -77699, -79956, -82213, -84470?\nAnswer: -86727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -477091.77 * -0.1\nAnswer: 47709.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -1.2.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) + 94\/18. Let y be 5*g*(-8)\/(-20). Calculate the greatest common factor of y and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 6*c**2 + 6*c. Let l(p) = 11*p + 0*p**3 - 2*p**3 - p**3 + 0*p**3 + 11*p**2. Determine -6*l(h) + 11*u(h).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45309 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 9*c + 18. Let t be d(-7). Suppose -t*f - 2*q = 3*q - 6831, 0 = -5*f - q + 8544. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8498918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81432, 79359, 75902, 71061?\n\"Answer: -692*l**2 + 3*l + 82121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 388*j - 2723. What is k(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + x - 6. Let r(q) = 2*q**2 - 3*q + 13. Let z(p) = 5*c(p) + 2*r(p). Determine z(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 14*f**2 - 26*f - 26. Let o be g(-12). Let b(q) = 6*q + 6. Let x(y) = 4*y + 4. Let d(u) = 5*b(u) - 7*x(u). Give d(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {h: 11, i: 1, c: 4, r: 3}?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -65, -71?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:31 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u*y**3 + 34*u*y + 352*u + 6*y**3 + 30*y**2 wrt u.\nAnswer: -y**3 + 34*y + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*t - 2*u + 8, 0 = 2*t - 2*u + 4. Suppose 972*f - p - 8 = 971*f, 0 = -2*f + 5*p + 34. Solve t = v + v + f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 239.4 and -2023.\nAnswer: -484306.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*z = 150*z - 94*z + 270 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25646*u**2 + 51305*u**2 - 25658*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.01, 9, -0.4 in descending order.\nAnswer: 9, -0.01, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333685741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3021500 to the nearest ten thousand.\nAnswer: 3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*h - 40148*v + 40152*v, -4*v = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1189*n**3 + 1199*n**3 - 2391*n**3 + 49843 - 49843.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 + 6.79. Let k = -7.26 + x. What is k rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2322101?\nAnswer: 2322030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 1\/2*u**3 - 51\/4*u**4 + 5\/2*u**2 + 28*u - 4. Find the second derivative of m(k) wrt k.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -30. Let g(v) = w*v + 4 + 2 - 2 + v**2. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 1952.\nAnswer: 214.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Suppose -c = -6 + 4, 2*d + c - 2 = 0. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*g - 72*g + 2559*g**2 + 238*g + 3422*g**2 - 97*g.\nAnswer: 5981*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -26. Suppose -4*m = -o + 9. Find the third derivative of 12*t**m - 49 + 14*t**3 + 49 wrt t.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -48. Let i be 192\/9*a + 0. Factor 32*k + 44*k - 3*k**2 - i*k - 9.\nAnswer: -3*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.41 + 45311?\nAnswer: 45144.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34\/7 in 5, -2, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 9*i**2 - 8*i + 5. Let z be j(-8). Solve -3*a = c + z, 4*a = -c - 8 + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 35. Let h be t(-9). Sort -0.4, 3, h.\nAnswer: -0.4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1341 + -1395.1. Let q = -50.1 - g. What is the second biggest value in -0.5, -4, 3\/14, q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8101, -64864, -218953, -519034, -1013773, -1751836?\n\"Answer: -8111*f**3 + 3*f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from efeyeyyfe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 74*d**2 + 153*d + 156. Is j(70) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbb. Give prob of sequence bb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j**4 + 0*j**6 + 5\/3*j**3 - 5\/7*j**7 + 0*j**2 + 0*j + 5 + 0*j**5. What is the third derivative of f(s) wrt s?\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 + 83 = -15*i. Suppose i*k = 16*k + 16. Solve 0 = -2*a + 4*a - k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2\/11*a**3 + 4\/11*a**2 + 0 - 2\/11*a**4 + 0*a = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 8 = 4*z - 10*z - 2*d, -5*d = -1 - 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f + 55971. Let s be d(0). Suppose -24244026 = -3*u - 3*m + s, 5*u = 2*m + 40500002. Round u to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 6 = d, -283*t + 36 + 15 = -281*t + 5*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, 3, -4, 326, -1, 0.\nAnswer: -283, -4, -1, 0, 3, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, a: 3, e: 3, g: 2, s: 1, o: 1}. What is prob of picking 2 g and 1 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -cd904 (base 15) to base 6\nAnswer: -22001004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let o(f) = 17*f + 5. Let m(h) = 120*h + 36. Let p(v) = -5*m(v) + 36*o(v). What is p(n(k))?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112936427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*-3*(2 + (sqrt(441) - (sqrt(441) - (sqrt(441)*-2 - sqrt(441))))\/sqrt(7)))**2.\nAnswer: -61668 + 3888*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 559774.906 to the nearest 10000.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 504185?\nAnswer: 504190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -73. Let h be 44*(-6)\/48*-20 - -3. Let f = h - j. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*2 + (6 - 10). Suppose -5*u + n = 29 - 83, -3*n + c = 2*u. Differentiate -2 - 1 + u*y - 9 with respect to y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1937.0000000907 - -1937. What is n rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 54\/121673?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -581*v + 14. Let x = 27 - 34. Let o be k(x). Suppose 5*d = -2*d + o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = y + 5*w, 3*w + 0 = -15. Suppose -2*f - 3*r = -27, 2*r - 4*r + 28 = y*f. Solve f*g + 12 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**8\/10080 - h**7\/1260 + h**5\/10 + h**4\/8 + 79*h**2. Let m(l) be the third derivative of s(l). Find n such that m(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 438740 and 965228?\nAnswer: 4826140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*c - r + 4, -c + r + 6 = 0. Put -2\/5, c, 7.9, -5, 0.2 in increasing order.\nAnswer: -5, -2\/5, 0.2, c, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -9 - 3 - -9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.280179 years to centuries.\nAnswer: 0.06280179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388590 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let o(r) = -8*r + 8*r + 0*r + 34*r**2. Give z(o(q)).\nAnswer: 2312*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 0)*(10294\/6 + -11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 14*n + 2. Let g be h(12). Suppose 0 = 19*u - 6*u - g. Factor 20*b**3 - 115*b**u - b**4 + 10*b**5 + 110*b**2 - 24*b**4.\nAnswer: 5*b**2*(b - 1)**2*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 411195 and 1388?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9494962um?\nAnswer: 0.0000009494962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/24 - 3\/14. Are 1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.913291 centuries to years.\nAnswer: 891.3291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.832208 to three decimal places.\nAnswer: 1.832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 7*f - 2*f + 10, 3*l = 5*f + 30. Suppose -l*m + 80 = -0*m. What is the smallest common multiple of (2 - -4)\/(-5 - (-106)\/20) and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*j - 54*j - 483*j**3 - 58*j - 60*j + 492*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2992*a**2 + 38 + 2974*a**2 + 2981*a**2 - 8950*a**2.\nAnswer: -3*a**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265404 is divided by 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.038914 times -0.1\nAnswer: 0.3038914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 38. Suppose 0 = -5*n + 46 + 44. Calculate the lowest common multiple of 2 - (3 + c + -1) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2 - j - j**2 + 2*j**2 - 11. Let z be m(4). Which is smaller: z or 18\/11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c4 (base 13) to base 8.\nAnswer: 6202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.3 - 6.6. Let g = -1 - -0.9. Which is the nearest to 1? (a) y (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 14726164606282.\nAnswer: 14726164606281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.25 and -8.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204508\/(-129))\/(-29)*(-27)\/(-12)*4\/6.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227 - -229. Suppose -4*k = 3*s - 160 - 96, g*s = -4*k + 172. What is the highest common factor of s and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1534 + 2871. Let q = 53483\/40 - v. Is -1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + l + 1831, l - 464 = -75*t + 74*t. Calculate the greatest common factor of 544 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 307 + 230 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8330558 to the nearest 10000.\nAnswer: 8330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.5, 1\/14, 0.2, -17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -20*3\/12*-5. Suppose 2*r - k = -3*r. Suppose 0 = 6790*f - 6932*f + 4686. Calculate the remainder when f is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c97 (base 13) in base 12?\nAnswer: -15935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.14 + -0.14. Which is the closest to -0.1? (a) -5\/2 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*i + 148, -u + 44 = -i - 6*u. Let a(m) = -2*m**2 - 13*m - 12. Let l be a(-11). Let n = i - l. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 4 (c) 122.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228538052?\nAnswer: 2, 57134513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**3 - g**4 + 26*g**3 + 26850*g**2 - 26895*g**2 wrt g?\nAnswer: -24*g + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52008)\/(-72) + (-8)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w = -10. Let j = -5 + w. Solve 3*r + 4 - 13 = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70820 - 48744. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*w**5 - 2*w**4 - 393*w**2 + 68258*w wrt w?\nAnswer: -1120*w**3 - 24*w**2 - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11622 - -26261. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 236 and -0.9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1169 = -4*z + 3*v, 0 = -20*z + 15*z + 3*v + 1462. What is the third derivative of -4*o**2 + 280*o**5 + 13 + 2*o**2 - z*o**5 wrt o?\nAnswer: -780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -0.03656805?\nAnswer: -0.33656805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10*s + 1176 = 0. What is the remainder when s is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -15. Suppose 0*w = -x*w + 81. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91 - 127 + 127*z + 37 + 372*z - 49 wrt z.\nAnswer: 499","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let d(f) = 7*f**2 - 6. Let k(q) be the first derivative of -26*q**3 + 65*q + 68. Let a(u) = -65*d(u) - 6*k(u). Calculate a(t(b)).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20120122112 (base 3) to base 5.\nAnswer: 13121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)*z*z**6)\/(((z*z*z**(-4)\/z*z*z)\/z)\/((((((z\/((z*z**(-8))\/z))\/z)\/z)\/z)\/z*z)\/z*z)))**(-4) assuming z is positive.\nAnswer: z**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 3, 122, -1, -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -27. Let c = z - -12. What is the remainder when 77 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1827064 millennia?\nAnswer: 18.27064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*a + 131*a - 9374 = 9037 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1\/330*c**6 + 0*c**2 - 2\/11*c**4 - 9\/220*c**5 - 2 - 10\/33*c**3 - 3*c. Factor y(q).\nAnswer: -q*(q + 2)**2*(q + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9616534*f**4 + 142406670 wrt f.\nAnswer: 38466136*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -42.91. Is 0 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539)*4 - sqrt(1539)) + sqrt(1539))*3)**2.\nAnswer: 221616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.541*0.4.\nAnswer: -0.2164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 8) + (8 - -16) + (-1 - -24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4*(2 - 0) - 3. Suppose 2*n - 40 = -g*n. Solve -2*i = -5*i - 6, n = 4*m - i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-406)\/(-14))\/(-9*(40\/45)\/(-8))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-7.793.\nAnswer: 0.38965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1486650, 2973363, 4460076, 5946789, 7433502, 8920215?\nAnswer: 10406928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/(-6))\/(9\/(-3828)). What is l rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7. Let w(m) = -m + 13. Let c be (-12)\/28 - 138\/21. Let t(z) = c*g(z) - 4*w(z). Give t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16477238 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 28*u - 1. Suppose 4*t + 28 = 3*b, 2*t + 9 + 29 = 3*b. What is the remainder when v(-15) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 412512216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212883177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 132a0 - 3?\nAnswer: 13299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5120, -50340, -95560?\n\"Answer: -45220*o + 40100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 2, m: 1, c: 4, d: 6, e: 3}. Give prob of sequence ev.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from nwnnnnnzwnlnn.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 712609080 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/30 and 62\/5165?\nAnswer: 30990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 26944361 = -40802239. Round v to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - (-2)\/2*(6 - -13). Calculate the highest common factor of 481 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7679, -7680, -7681, -7682, -7683?\nAnswer: -7684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419 divided by 11?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124237 is divided by 2628?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:46 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjjnjnjnjnnnjjjjjnn. Give prob of sequence jjjn.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 19 + 1 - 7 - 21*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 20*s**2 + 8. Let i(l) = -l**2 + l - 1. Let y(p) = -5*p**2 - 2*p - 1. Let u(m) = 2*i(m) + y(m). Determine 3*n(o) + 8*u(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 1496 = 1815. Calculate the highest common factor of 43 and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13439995 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, -4, -1, 0.04 in increasing order.\nAnswer: -17, -4, -1, 0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 931 + -914. Suppose x + 1 = 2*x, -m = -3*k - 2*x. Put 7, 4, k, 1 in increasing order.\nAnswer: 1, 4, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -65489702.\nAnswer: 26195880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46136*d**3 + 9057*d**3 - 59358*d**3.\nAnswer: -96437*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 661 - 661.1. What is the nearest to 118 in x, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 2 (c) -0.316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 224944356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 13996409?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -9) + (-10 - (-15 - 9))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -1 - (219 + -128 - 95)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 0*b**3 - 4*b**3)*(-3*b + 2*b - 2*b)*(-10 + 2 + 26).\nAnswer: 108*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13398 or -13397?\nAnswer: -13397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 81 + 2*b + 8*b**3 - 122 + 42 - b**2 to l*b + c + v*b**2 + j*b**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61829*r = 61779*r + 650 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/10806613 or 0?\nAnswer: 6\/10806613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -302 + 301.55. Let r = 0.25 + i. Sort -0.5, r, 24 in descending order.\nAnswer: 24, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {f: 5, a: 4, m: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 28\/16)*12. Let d(s) be the first derivative of -6 + 0*s - 1\/4*s**2 + 0*s**h + 1\/8*s**4. Suppose d(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330706.9 millilitres in litres?\nAnswer: 330.7069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 644?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*256.\nAnswer: 153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*q + 57, -a + 4*q - 2*q = 3. Let b(s) = s**3 + 8*s**2 - 10*s - 8. Calculate b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10300002222 (base 4) to base 11\nAnswer: 780720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1737481292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214 - -2201. List the prime factors of y.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-27)\/12)\/((-1)\/(-24)). Let v = 105 + g. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 4.94, 2\/23, -1\/6?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*d**2 + 246*d**3 - 67*d**2)*(-3 + 6 + 14*d - 21*d).\nAnswer: -1722*d**4 + 738*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 157114 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, j: 6}. Give prob of sequence jcj.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 8*s - 2. Let k be a(-6). Suppose 0 = -4*n - 2*p + 6 - k, -3*p = -5*n - 5. Sort -5, 4, n, -3 in increasing order.\nAnswer: -5, -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 9*t - 7572 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 8. Let q(w) = -w**2 + 10*w - 8. Suppose 0 = 5*h - g - 147, 25 = 2*h - 5*g - 20. What is the remainder when h is divided by q(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 8*v**4 + 3*v**4 + (-3*v - 23 + 23)*(19*v**2 - 19*v**2 + 10*v**3).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-350)*18)\/(12\/20)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 0*x**2 + 2*x**2 + x**2 + 0*x**2 - 2*x**2 + (-4*x - 2*x + 3*x)*(-3 + x + 3) - 602*x**2 - 10 + 14*x + 8 + 447*x**2 as w*x**2 + y*x + f and give w.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -141 times -1132\nAnswer: 159612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwcuwawuaicicacuca. Give prob of sequence aaw.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slqyyssyyls. Give prob of sequence qssl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*v**4 + 804*v**3 - 44*v**2 - 25*v + 272394 wrt v?\nAnswer: -360*v**2 + 4824*v - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63004 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(24) - sqrt(2400)*6)\/(sqrt(392)*-2)*-1.\nAnswer: -59*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbp when three letters picked without replacement from {p: 4, b: 2, u: 5, g: 2}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1778, -1807, -1848, -1895, -1942, -1983, -2012, -2023?\nAnswer: -2010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1647*z**2 + 44*z + 1757. Let a(w) = 3296*w**2 + 99*w + 3513. Let x(o) = 4*a(o) - 9*y(o). What is the first derivative of x(p) wrt p?\nAnswer: -3278*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1417 (b) -1\/8 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107646 is divided by 14323.\nAnswer: 7385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -547751 + 14126?\nAnswer: -533623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*55\/(-105) - (1 + -4). Find k such that -2\/7*k**3 - 6\/7 - t*k**2 - 2*k = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.9 and 1318529.\nAnswer: 1318525.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*x - 4*w - 7300 = -325*x, -36485 = -5*x + 5*w. Does 32 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1008)*-3 + 3) + 5)**2.\nAnswer: -4896*sqrt(7) + 145441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = x - 6, j = 2*x - 4. Suppose 0 = j*a + 8 - 24. Let k = -5 + a. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, and 1 g when three letters picked without replacement from {t: 4, g: 2, d: 8, q: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgph when four letters picked without replacement from {h: 1, g: 2, r: 7, f: 7, p: 1}.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**2 + 1926342*g - 5371678 wrt g?\nAnswer: 2*g + 1926342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 + 14*p - 6. Let w(o) = o**3 - 7*o**2 - 28*o - 14. Let i be w(10). Give n(i).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 19*n**2 + 21*n - 86. Let k be b(7). Let o = k - 232. What are the prime factors of o?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -675, -1814, -3391, -5406, -7859, -10750?\nAnswer: -14079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12222131311 - 144?\nAnswer: -12222132010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -138, -317, -594, -1017, -1634, -2493, -3642?\n\"Answer: -8*c**3 - c**2 - 120*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-70)*-4*(-50)\/(-40)*-4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.151\nAnswer: -0.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 10 = -5*k, -2*k - 28 = -95884*o + 95886*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*n**4 - 32*n**3 - 675*n**5 + 679*n**5 - 36*n - 47*n**2 - 25*n**2 = 0. What is n?\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -933808 divided by -2.\nAnswer: 466904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*-2*sqrt(432) + sqrt(432)))\/((sqrt(16)\/sqrt(2)*-6)\/(sqrt(32)*-2)).\nAnswer: -432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 7*p**2 - 9*p + 241. What is x(0)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.0281 + -0.0719. Round q to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkerykkyykykee. What is prob of picking 2 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 3*a**2 + 3*a - 3. Let u(v) = -v + 30. Let d be u(27). Let p(q) = -5*q**3 + 7*q**2 - 7*q + 7. Determine d*p(x) + 7*m(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 495164644 a multiple of 2681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.002 + -8. Let k = 0.11 + d. Let v = -1.628 - k. What is v rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 24, -750*a = -3*h - 747*a - 9. Let n = -6 - -3. Sort 3, h, n, -11.\nAnswer: -11, n, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 4*l**2 + 2*l + 10. Let k be r(-2). Differentiate k*p**2 - 10 + 29*p - 29*p - 18 wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420178 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 569667010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5509 + 7920. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*a = 0, 4*c + 4*a = 2*a - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/495 and -125\/108.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/5)\/(((t\/(t\/(t*t*t*t*t**(-2\/9))))\/t)\/t)*t**(2\/7)*(t\/(t\/t**(1\/18)))\/t*(t**13\/(t**(-5)\/t))**(2\/25) assuming t is positive.\nAnswer: t**(-2257\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 131 + 131.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -406 + 419. Suppose -68 = -4*z - a*z. Factor 8\/3 + 4\/3*l**3 - 4\/3*l + 4\/3*l**z - 4*l**2.\nAnswer: 4*(l - 1)**2*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in -6, -17\/6, 1.387, 0?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -195 + 187. Let p(y) = -3*y + 28. Let q(i) = -7*i + 55. Let l(d) = r*q(d) + 7*p(d). Let h be l(6). What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 - 10464*k**4 - 31366*k**3 + 41832*k**2 = 0. What is k?\nAnswer: -5229, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204890007 is divided by 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, u: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144924 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 6*i - 3. Let x be -1 + (i - -3 - -3). Solve 4 = -2*h - 6, -2*h - 22 = x*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 280 = -0*h. Suppose 18864 = 47*m + 346*m. What is the least common multiple of m and h?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -17, -41, -93, -185, -329, -537, -821?\n\"Answer: -2*s**3 + 4*s**2 - 6*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q. Let k(z) = z**3 + 2*z**2 + 4*z. Determine 4*b(l) + k(l).\nAnswer: l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 314?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4116, 16396, 36862, 65514, 102352?\n\"Answer: 4093*f**2 + f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125670 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10603190 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930956?\nAnswer: 2, 13, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (-1289 + 1297 + (0 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 8*i + 6. Let q be z(6). Let h = 8 + q. Suppose -6*y + h*y + 72 = 0. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 915339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10793354 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 579, 2\/3, -4\/5, -4, -1 in increasing order.\nAnswer: -4, -1, -4\/5, 2\/3, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 19. What is u in -1 - 24*u**x - 5 + 6*u**3 + 21*u - 3*u**5 - 23*u**4 + 29*u**4 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by (-1139)\/(-85) + 6\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 16*p + 18. Let h be g(0). Let l(s) be the first derivative of 1\/13*s**2 - 2\/39*s**3 + 0*s + h. Let l(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 3, 0, 73 in ascending order.\nAnswer: -5, 0, 3, 9, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (sqrt(112) + -1 + 4)**2 + -3).\nAnswer: -121 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941951160 a multiple of 7140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 times -13842\nAnswer: 4014.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m**2 - m. Let l be g(0). Suppose 5 - 1 = 4*b + 3*d, 4*b - d + 12 = l. Is 5 a factor of (-45)\/(-6) + b\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/24 - 67\/((-5025)\/100).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 51*i + 624. Give v(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*r + 24 = -0*f, 0 = f + 2*r - 7. Put f, -2, -4 in ascending order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Calculate the highest common factor of 55 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*x**3 + 2*x + 0*x**2 - 14*x**3 - 2*x**2 to j*x**2 + h*x**3 + r*x + g and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10 - 3*c - 8 + 4*c. Let z be t(2). Solve a + z = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 41*y**5\/30 - y**4\/12 - 51*y**2 + 2. Let n(j) = -j**2. Give n(l(w)).\nAnswer: -6724*w**4 + 328*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 bigger than -46\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:08 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**2 - 14*x**2 - 3*x**2.\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -97. Let y(c) = c**2 - v + 21. Let j(w) = -3*w + 3. Determine j(y(r)).\nAnswer: -3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 14*w - 5. Let l(t) = -22*t + 7. Determine 5*l(j) + 8*r(j).\nAnswer: 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2638 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/17 and -5\/19?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 0*l)*(-4 + 2 + 1)*(l - l + 3*l**2) + (4*l + 0*l - 3*l)*(3 - 3 - l)*(-50*l + 5*l - 308*l).\nAnswer: 362*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1432*i - 304*i + 301*i to the form h + q*i and give q.\nAnswer: -1435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*r = 2*f - 292, r = 2. Do 142 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -188. Let z = -150.9 - r. Round z to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96830186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123952.\nAnswer: 2, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 5*y**2 + 40*y - 32. Let o be b(9). Let m be 2\/8 + 6537\/12. Suppose -o*k + m - 193 = 0. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnttcttcttnntntttt. What is prob of sequence ttcn?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 0*i = -30. Sort 3, 14, -5, i in decreasing order.\nAnswer: 14, 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(475) - sqrt(19)) + 0)**2.\nAnswer: 6859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/9, -0.072, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 8*h - 34. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 559854 - 559857.01213. Let b = u - 0.01887. Round b to one decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n = -126*n + 288*n - 6007 + 16459 for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(114) - (sqrt(114) + sqrt(114)*-2 - sqrt(114)))\/sqrt(6))*-2*3)**2 - ((sqrt(19) + 2)**2*-2 + (-1 + sqrt(1539) - sqrt(1539))).\nAnswer: 8*sqrt(19) + 10991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3718393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19373150 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/18*90*5. What is the highest common factor of 1890 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:03 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3875 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/60 + 169*x**4\/24 + 502*x**3\/3 + 441*x**2. Differentiate w(i) wrt i.\nAnswer: 2*i + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*g + 34 + 294 = 0. Solve o - 10 = -g*o - 5*q, -2*o + 3*q + 13 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1377) + 4 - (sqrt(1377) - ((sqrt(1377) + 0)*-6 - sqrt(1377))))**2 - (sqrt(1377) + 1)*-1*5.\nAnswer: -387*sqrt(17) + 49593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 437040 divided by -218520\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Let l = -94 + 91. What is the third biggest value in b, -3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-1 + -1 - -2). Suppose y = -5*w + w + 8. Solve 2 = 3*b - w*j, 0*j + j = 5*b - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 516, 523, 530?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3886003 (base 9) in base 15?\nAnswer: -2be320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*k - 15*a + 2*k**2*m + 3*k**2 + 14*k + 2*m wrt k.\nAnswer: 2*a + 4*k*m + 6*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 527 - 40. Suppose 13*g = r + 28. Solve 0 = 3*x - 5*f + g*f + 17, 3*f + 18 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1717*h**4 + 4*h**3 + 48*h + 728. Let z(v) = v**4 + v**3 + 49*v - 1. Let u(k) = -t(k) + z(k). What is the second derivative of u(c) wrt c?\nAnswer: 20616*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1097, -1095, -1093, -1091, -1089?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1162770, 1162813, 1162856?\n\"Answer: 43*s + 1162727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 + 154 + 34*g + 148 - 607 + 152.\nAnswer: 34*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = p + 3, -2 + 0 = p + 2*f. Let w = 1 - 2. Let q be (-1*2 - -2)*w. Solve q*c - c - 18 = -5*a, p = -4*a - 2*c + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-3) - (-14)\/7. Suppose 3*j + 11 + 67 = w. Suppose -5*n - 136 = -11. Are n and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -11091 (c) 3 (d) -12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 4*f**2 - 3*f - 4. Let o be g(-6). Let u = -40 - o. Let s = 52 + 1. Calculate the remainder when s is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-9)*(-55998)\/915?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*b - 5 = 0, -3*b - 34 = 3*m - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z + 10. What is h(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 - -1110110?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11 + 20*v**3 + 15*v**3 - 34*v**3 - 1 + 7*v**2. Let j be i(-6). Calculate the greatest common divisor of 42 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4845*y + 1941.\nAnswer: -4845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145*b**3 - 16*b**4 + 145*b**3 + (0 + 2*b + 0)*(2*b**3 + 0*b + 0*b**3 + 2*b).\nAnswer: -12*b**4 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*c - 320 - 644 = 0. What is q in 0*q + 3\/7*q**c - 60\/7*q**2 + 0 - 3\/7*q**3 = 0?\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000090931408 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 10. Let s be (63\/54)\/((-13)\/(-156)). Solve h*t - 4 = s*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39959 + -39959. Let f(o) be the first derivative of -8\/5*o**5 + p*o**2 - 3 - o**4 + 2\/3*o**6 + 8\/3*o**3 + 0*o. Let f(h) = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/(39960\/925)\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000835666 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -60*f + 3865. Let a be c(58). Solve 101*o - 120 - a = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 9. Let a be g(-5). Suppose -m = a*m - 5. Let o = -7 + 4. Is o >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, o: 3}. Give prob of picking 2 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 6719*m**2 - 6719*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 20*v**2 + 18*v + 1. Suppose 31 = r - 3*b, 3*r + 18*b = 14*b + 41. Calculate q(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 13438568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**3\/3 + 16864*u**2 + 1369012*u\/3 - 473200 = 0.\nAnswer: -28, 1, 12675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/24)*z)\/(z**(1\/3)\/z)*((z\/(z**14\/z)*z)\/z)\/(z\/z**(6\/17)) assuming z is positive.\nAnswer: z**(-4055\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 6. Let l be p(5). Let s(u) be the first derivative of -l + 2\/15*u**3 + 0*u - 2\/5*u**2. Factor s(x).\nAnswer: 2*x*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 26. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29197109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104\/45 + -28\/9. Let u(z) = -168 - 14*z**2 + 28*z**2 + 6*z**2 + 29*z - z**3. Let k be u(21). Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*w - 73*w = -187*w + 46 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 245986.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/224 and -38\/567?\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-3 + 1) + 15. Let d(y) = -y + 14. Let h be d(u). Suppose -h - 8 = -2*f. Let t(i) = -i**3 + 6*i**2 - 5*i - 3. Give t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858 divided by 3.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19440 by 5.\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3358\/253 - (33 - 19).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*o + 11 - 12 + 17 - 10 - 6.\nAnswer: 203*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 317*b**2. Let p(w) = 801093*w. Give p(l(d)).\nAnswer: 253946481*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10851840, -10851843, -10851846?\nAnswer: -10851849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*1\/4)\/(5\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.5 and 17.70399.\nAnswer: 256.707855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.5673 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 981630229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46410 divided by -3094\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 3*m + 3. Suppose 0 = -2*n - 6 + 8. Let i(b) = 5 + b + 12*b**2 - 13*b**2 - 13 + 9. Determine n*t(p) - 3*i(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*u**4 - 12*u**2 - 1?\nAnswer: -4776*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -534 or -690?\nAnswer: -690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 239 and -1787958?\nAnswer: 1788197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*y - 29049996 = 72*y - c, -3*y = -c + 17429996. Round y to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a*(a*a*a\/((a**(-3\/8)\/a)\/a))\/a)\/a)\/a)\/(a\/a**(-4)))**(1\/10) assuming a is positive.\nAnswer: a**(3\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 27. Suppose d = 4*c + 2*z, -c = 5*z - 32 + 5. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1.3, -1\/2, 7, 22\/9 in ascending order.\nAnswer: -1\/2, 1.3, 2, 22\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 630372 and 133620.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -57*q**3 + 24*q**2 - 8*q + 5. Let y(u) = 169*u**3 - 68*u**2 + 23*u - 14. What is 17*m(j) + 6*y(j)?\nAnswer: 45*j**3 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 431, 1789, 4065, 7259, 11371, 16401, 22349?\n\"Answer: 459*m**2 - 19*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10054311*w**5 - 10623488*w**2 wrt w.\nAnswer: -603258660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let h be y(1). What is the units digit of 8\/(-24)*(-10 + h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:57 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-2 + 15\/(-9)). Let d = b + -10. Let p = d + 35. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -432.\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.15 + 273.15. Let g = -9513 - -9782.61. Let m = y - g. Round m to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4554, 9084, 13614?\nAnswer: 18144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**4\/126 - 2*m**3\/7 - 19*m**2\/21 - 25*m. Let n(g) = 0. Calculate g.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**6\/5 - 7*i**5\/20 + 63*i**2\/2 + 66*i - 73. Let g(p) be the first derivative of d(p). Differentiate g(w) with respect to w.\nAnswer: 24*w**3 - 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -805*w**4 + 15*w**3 + 15*w + 315. Let f(h) = -115*h**4 + 2*h**3 + 2*h + 45. Let m(o) = -15*f(o) + 2*n(o). What is the derivative of m(k) wrt k?\nAnswer: 460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h - 12*h + 190. What is the remainder when 387 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/7 - -20\/21. Let m = 34040 + -34034.5. Let t be (4\/(-6))\/(-2*1). What is the second biggest value in m, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 3*d**2 + 0*d - 1\/12*d**4 + 0*d**3 + 0 + 0*d**5 + 1\/60*d**6. Let f(t) = -2*t**3 + 2*t. Calculate 2*f(g) + 3*i(g).\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 428, 422, 416?\n\"Answer: -6*y + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*q - 22 + 3, -q + 6 = y. Suppose y = t + 1. Suppose 0 = -t*h + 282 - 98. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1)**(-29)*((r*r**(1\/9)*r)\/r)**6 assuming r is positive.\nAnswer: r**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 6, 4\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -596274, -1192543, -1788812, -2385081, -2981350, -3577619?\n\"Answer: -596269*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + 622 + -628.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 17. Suppose t + 0*t - 2 = 0. Suppose 5 = -t*r + 3. Do r and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1698 - (1 + -4 + 8))\/(-1) is divided by 1703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 354.97 + -352. Let z = g - 3. Let p = 4.03 + z. What is the biggest value in p, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let w(d) be the first derivative of -3*d**5\/5 - 15*d**2 + 6. Let i(x) be the second derivative of w(x). Determine i(l(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/50 + (2 - 2))\/(968\/(-1815)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-30 - -12)) + -2 - (-7 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-2 + (-15)\/10))*5\/(-15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123503502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 15*d - 20. Let u be x(14). Let j be 1\/u - 372\/(-72). Solve -4*b + j = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 2. Let v(z) = 2*z**2 + 0*z**2 + 9559 - 9565 - 6*z + 13*z - z**3. Determine v(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/50433 and -139\/192?\nAnswer: 3227712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6053 + -10504. Is -4450 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-333)\/3)\/((1 - 9) + 7). Let c be -23*2 - (-1 + 0). Let a = l + c. Calculate the lowest common multiple of a and 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8921220 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:34 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d, -20*f - 4*d + 515 = -15*f. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(1\/18)*(((n*n**3)\/n*n*n)\/n*n)\/(n*n\/(((n*(n*n**6*n)\/n)\/n)\/n)*n))\/((n**(1\/2))**(-27)*(n\/(n*n**(-2\/7)*n))\/(n\/n**(-1)*n)) assuming n is positive.\nAnswer: n**(1592\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 t when three letters picked without replacement from {g: 2, t: 1, p: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(190)*-4 - sqrt(190)) + sqrt(190))\/(sqrt(810)*1).\nAnswer: -16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 + 216 - ((0 - 0) + 21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:59 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 20. Let o be (m + (1 - 3))*-1. Suppose 3*g - 78 - 108 = o. Round g to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44635*f**2 + 62105*f wrt f.\nAnswer: 89270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3709, -14926, -33641, -59860, -93589, -134834, -183601, -239896?\nAnswer: -303725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 530 (base 16) to base 5\nAnswer: 20303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 19 = x, -65*x + 21 = -6*m - 62*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -4*x**3\/3 - 179*x. Let n(q) = -4*q**2. Give n(b(d)).\nAnswer: -256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/(-35) - ((-26)\/(-30) - (-2)\/6) and 191\/546?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-246)\/(-5) + (-68)\/(-85). Suppose -p - 9*p = -j. Solve 0 = w - p, 0 = -2*g + 4*w + 6 - 34 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**18\/((r**(9\/2)\/r)\/r)*(r\/r**(1\/44)*r)\/r*r*r*r**18\/r assuming r is positive.\nAnswer: r**(1561\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1490 and 3427?\nAnswer: 34270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 10, 13?\n\"Answer: 3*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose 0 = -q + 5 - b. Suppose f = q + 18. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 142 = -446 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-4) - (-2)\/2. Let x(v) = v - 1. Let y be x(c). Put y, -5, 0 in decreasing order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 794879.000084 - 794870. Let i = g + -9. Round i to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784\/6*-57*(-66)\/(-4389)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -17. Let n = -6 - -6.04. Let m = -0.06 - n. What is the nearest to b in -5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16271.99999882646 - 16272. What is l rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289456.\nAnswer: 2, 79, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -56.6. Let x = -1.6 - t. Let n = -8 + x. Which is the nearest to 2? (a) n (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dec8cb (base 15) to base 4.\nAnswer: -220201202030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Let a(p) = -8*p**2 + 23. What is w(a(c))?\nAnswer: -8*c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (1 + -1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (110\/25 - 5)*(-5)\/1. Let z be 255\/(-180) + o\/4. Let a = z - 5\/6. What is the second smallest value in 0, a, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38969*g**2*h**2 - 4*g**2*h + 86526*g**2 + 10*g*h**2 - 2*h**2 wrt h.\nAnswer: -77938*g**2 + 20*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/244868 and 79\/979472.\nAnswer: 979472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33080259 to the nearest integer?\nAnswer: 5752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37359822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2449 and -2437 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/148 and -61\/34568?\nAnswer: 1279016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145197.98 seconds in days?\nAnswer: 13.25460625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) + (-4)\/18. Let m = 5 - g. Suppose m*t + 0*t - x = 34, 5*t = -3*x + 18. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {e: 3, d: 2, j: 11, k: 1, y: 1, h: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/261 and 68\/195.\nAnswer: 16965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11339097 + -11338755.11607. Let w = -341.9 + y. What is w rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20684185 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (14\/(-35) + 1)*1407550\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43\/4? (a) 0.1 (b) 2\/41 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/3, -0.4, 0.2, -2\/11 in increasing order.\nAnswer: -0.4, -1\/3, -2\/11, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 570\/35 - 4\/14. What is the highest common factor of c and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -153 in ascending order.\nAnswer: -153, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -93, -299, -627, -1065, -1601, -2223, -2919, -3677?\n\"Answer: 2*j**3 - 73*j**2 - j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 3:32 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 3*c + 7. Let i be t(-4). Suppose -4*p - i*p = -154. Let k be -2 - ((-10)\/(-45) + p\/(-18)). Is k less than or equal to 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 392 + 372 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-203)\/29 + (-1035 - 1). Calculate the common denominator of f\/858 - (-42)\/(-231) and (23\/6)\/(16\/(-18)).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2860 and 14674?\nAnswer: 1907620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 5797596?\nAnswer: -579759.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/41, -4\/7, -0.4, -9, 3, 4 in descending order.\nAnswer: 4, 3, -2\/41, -0.4, -4\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 148*y - 300. Let i be f(145). Solve -101 = -17*k - i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/2*i**2 + 10*i + 6 - 1\/2*i**4 - i**3.\nAnswer: -(i - 3)*(i + 1)*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 225\/27 + 12\/18. Which is greater: d or 0.92?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 10. Calculate x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 31046?\nAnswer: -31044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -35. Let k = t - 44.5. What is the nearest to 1 in 0.2, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/20)\/((-1)\/8). Suppose 4*v + 5*k = -31, 2*v - 16 = 3*v + 4*k. Is 1 - o\/(v\/37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -5, 2, 5, -738 in descending order.\nAnswer: 12, 5, 2, -2, -5, -738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 - t + 2769. Let p be y(0). Suppose -o - p = -14*o. List the prime factors of o.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(78)\/sqrt(6) + sqrt(13)) + 0)*4.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333365 is divided by 66669.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1268 + 1262. Let w(c) = -182*c**2 + 7 - 209*c**2 - 1 + 5*c. Let u be w(v). Round u to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 405 + 248 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 - -184.9. Let w = 10.96 + n. Let x = -1.14091 - w. What is x rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3768 by -6.\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-14 + (-120)\/(-10))*(5 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 331 + -329. Calculate the smallest common multiple of u\/((-4)\/1440*-6) and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*((-588)\/30)\/14?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, l: 3, e: 1, h: 4, a: 1}. What is prob of sequence llla?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -943 - 688 = 81*a + 151 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(284\/290 + -1). Let v be (1\/4)\/(55\/6460)*(-1)\/145. Let f = v - r. What is the third biggest value in 0, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1971 = -74*q + q. Calculate the least common multiple of 9\/(2\/(5 - 3)) and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 77 = 731. Let g = -88 + 92. Find the common denominator of s\/(-108)*3 - g and 59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.8 - -7.869. Round d to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/516 + -2839\/516. Find the common denominator of -113\/966 and u.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c + 33. Let h = c - -21. What is the second derivative of -8*w + 12*w - w**3 + h*w**3 wrt w?\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(-4\/17)*a*a**(4\/5)*a*a*a*((a\/(a\/a**(-15\/7)))\/a)\/a*a assuming a is positive.\nAnswer: a**(1056\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -105, -106, -111, -120, -133, -150?\n\"Answer: -2*v**2 + 5*v - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19315 - -0.29315. Let m = 1.1 - 0.1. Let p(n) = -n**2 - 6*n + 2. Let u be p(-6). Which is the nearest to m? (a) -0.2 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 7. Let i(c) = 4*c**3 + 2*c**2 + c - 2. Let k be i(1). What is the second biggest value in k, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4\/9 (b) -4\/3 (c) 18 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67.63 - -4684.37. Let s = 5304.9 - q. Let h = -524 + s. Round h to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007133 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -135*u + 44*u - 44*u - 6*u + 0*u + 5*u + (3 + 1 - 2)*(3*u - u + 0*u) - 1 - 2*u + 1 + 0*u + u + 0*u.\nAnswer: -133*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1745089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (0\/(-4) + -807). Let d = h - 241. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 + 4*g**3 + 5 - g**3 - 4 - 3*g**2 as c*g + p*g**2 + y + r*g**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {j: 2, g: 1, e: 1, x: 2, z: 3, l: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011000111111000 (base 2) in base 8?\nAnswer: -730770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -5264 (c) -0.3 (d) 0.3 (e) 1 (f) -3 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 5*(960\/25)\/(-6). Let t(g) = -61*g**2 + h*g**2 + 34*g**2. Let r(f) = -7*f. What is r(t(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 200667390 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12942035*m**3 - 2*m - 4397249.\nAnswer: 77652210*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) 17 (c) -1\/101 (d) 5 (e) -0.4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - -0.14. Sort 1\/7, p, -4.\nAnswer: -4, 1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3, 0*d - 4*k = 2*d - 132. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 56. Suppose 19*f = 24*f - r. Suppose -q + 2*g + 38 = 0, 13*q + g = f*q + 51. What is the smallest common multiple of q and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8457481 is divided by 969?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 220565.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 320, 321?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 5:59 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325402 + -2423?\nAnswer: -331125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12935740*g**3 - 8674992 wrt g.\nAnswer: 38807220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 k when four letters picked without replacement from nknnklnkknvnll.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 123. Suppose 2*u - 6*u = m - v, -u + 5*m + 37 = 0. Calculate the remainder when 70 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-5))\/(7 + (-149808)\/21400). What are the prime factors of u\/10 - (-6)\/(-4)*-4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*n = 3*b - 18, 4*n + 15 = 3*b. Solve b = -2*w - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41489853 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25)\/(2\/((-10)\/(-1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.55 times -187.99?\nAnswer: 1043.3445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1605?\nAnswer: -1\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 111814003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + -3)*(-1 + 0). Suppose -3*i + t = 1. Which is the closest to i? (a) -4 (b) -1\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4bd20 (base 14) in base 16?\nAnswer: -2d838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/330 + 61*t**4\/132 - 42*t**3\/11 - 9*t**2 - 7*t. Factor b(d).\nAnswer: 2*(d - 2)*(d + 63)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 204175*t - 1020903. Give v(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*n - 902*n + 15 - 15.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 - (67 - -83) - (-2 + 2 + 2 - 2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365354*k - 16*k**2 - 365354*k.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8963, -4, 1\/2, -5, 8 in descending order.\nAnswer: 8963, 8, 1\/2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3. Suppose -2*j = -j + g. Let o(n) = -4*n**3 + n**2 - 1. What is o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -70. Suppose v = -0*p + 2*p + u, -2*p = -2*v + 66. Let m be 20\/25*v\/44. Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 2*v**2 - v - 1. Let k(r) = 3*r**3 - 7*r**2 - 3*r - 3. Let h(g) = -7*c(g) + 2*k(g). Let q(p) = p**2 - p. Let m be q(2). Give h(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*d = -20 - 139, -8*z - 24 = -5*d - 245 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -k + 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602650 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.9985 and 0.04.\nAnswer: 8.0385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, p: 2, j: 1, i: 2, r: 1}. What is prob of sequence cj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*u - 12, -4*u = 4*a + 12 - 28. Suppose -4*g = 3*f + 399012, u*f - 4*g + 266015 = -9*g. What is f rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2. Let z be y(1). Let c = 23.1335 + -0.0335. Let i = c + -23. What is the biggest value in 4, z, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 7*a**4\/12 + 31*a + 3. Let u(v) = 4*v. What is f(u(x))?\nAnswer: 112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 2*w - 8*w = 5*j, 33*j = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {r: 2, q: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + a + 52, -2*a + 20 = -l + 70. Let b be ((-3)\/l)\/(3\/12). What is the closest to -0.06 in -2, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 56*m**4\/5 - 1618*m**3\/5 - 12272*m**2\/5 + 10474*m\/5 + 672 = 0.\nAnswer: -48\/7, -1\/4, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -38 (b) 0.3 (c) 14 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*j + 35, 25 = -5*x - 2*j + 154. Suppose -2*w + 124 = 2*w - 5*c, -3*c + 92 = 4*w. Are w and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = 10. What is the remainder when s is divided by ((-4)\/(-1))\/((-60)\/(-45))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1. Let d(y) = -y - 2. Let h(i) = -d(i) + 2*q(i). Let j be h(2). Let w be (-1 - 5)\/(j\/(-1)). Solve -6*a = -w*a - 2*l - 13, 3*a + 3*l = -12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 12:56 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 7*c**2 + c**3)*(-7*c**2 + 34*c - 34*c).\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200010100001 + 2122?\nAnswer: 2200010102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w - 13. Let z be h(9). Let j = z - 15. Let u(f) = -f**2 + 8*f + 2. What is the units digit of u(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173 + -133. Calculate the least common multiple of a and 14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -3 (c) -767.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**5)\/d)\/d**(2\/19)*(d**(1\/4)*d)\/((d\/(d*d**(1\/11)))\/d)*(d**(-6\/5)\/(d*d**3))\/((d\/(d**(-4)*d))\/((d*d**(-1\/5))\/d)) assuming d is positive.\nAnswer: d**(-9047\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(20\/8) - -214. Let m = -58 + 85. Calculate the highest common factor of s and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 5915 = -228*h + 689 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 + 169. What is the units digit of 13\/39 + 1673\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 1, s: 2, y: 2, j: 1, h: 5}. What is prob of picking 1 h, 1 s, and 2 y?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -47*v**2 + 178*v + 88. What is t(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -242 + (124 - 158) - -158\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3\/2 + 255*m**2 + 1551*m\/2 + 519 = 0 for m.\nAnswer: -2, -1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -1852*d - 14653 + 5637 + 5328 + 3*d**2 - 7*d**2 = 0.\nAnswer: -461, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 5)*(-3*s + s + 0*s)*(-3*s**2 + 2*s**2 - s - 4*s**2) to the form j*s**2 + h + z*s**3 + v*s and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1344 and -30.\nAnswer: -4.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/209 and 101\/190.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:22 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29237501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/7, -2\/27, 9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9*-3*-30. Let x be 42\/a + 2\/5. Sort x, 0, 4.\nAnswer: x, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302 or 309?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*9\/45 + 983\/4465. Let z = -6082\/52687 - n. Calculate the common denominator of z and -4\/3.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*2*(sqrt(3) + (sqrt(27)*1)\/sqrt(9) - (sqrt(27) + 5) - ((0 + sqrt(12))*-4)**2).\nAnswer: -1966 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let g be ((-28)\/(-12) - p)*0\/2. Suppose -4*x + 3 + 5 = g. Solve -x*o - 25 = -7*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-7)\/2)*-10. Let y(l) = -3*l**2 - 2*l + 9. Let h(m) = m**2 + m - 1. Let j(i) = 4*h(i) + y(i). Let q be j(z). Solve -q = -0*n + 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 46 - (-8 + (-3 - -10) + -6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4424, -14251, -24078?\n\"Answer: -9827*u + 5403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8098 to 1 dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5. Let h be ((-6)\/8)\/(d\/(-8)). Suppose -l = -3*k, 5*k - 26 = -h. Calculate the greatest common divisor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -24. Suppose 2*f = -t + 335. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21195 and -0.2.\nAnswer: 21194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.8 and 1.383.\nAnswer: -5.2554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epppepeeppppeepppp. What is prob of picking 2 p?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 10, 38, 11, 0 in decreasing order.\nAnswer: 38, 11, 10, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/51)\/i)\/(i\/(((i**(2\/13)\/i)\/i)\/i)))**(-24\/7) assuming i is positive.\nAnswer: i**(25496\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 604860 and 748?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1704, 6797, 15298, 27213, 42548, 61309, 83502, 109133?\nAnswer: 138208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -849.7 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 8*y**2 + 9*y - 9. What is f(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 190 = 42*s, -11663*q + 2*s + 10 = -11668*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 11) to base 5\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 - -10 - (455 - 345).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 84. Let d = 9 + -10. Let v be (1 + -2 - -2) + d. Which is the third smallest value? (a) -0.2 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1592 >= -1610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -237870 times 8\nAnswer: -1902960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 5*q = -3*j - 140, -3*q = 2*j - 56. Calculate the remainder when 97 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40199426364.00315 + -40198518355. Let j = p - 907961. Let y = j - 48. What is y rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 244*v + 9542. Calculate u(-39).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*m + 1878*x - 1881*x, 4*m - 36 = 4*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 6, t: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 210 = -3*n, -5*n + f + 294 = -0*n. Calculate the lowest common multiple of n and 164.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -2\/67 (c) -2 (d) 0.186 (e) -1\/2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/30*(-8000)\/440 and 73\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 18*y**2 + 15*y - 13. Calculate v(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 11*t**2 + 8*t + 8. Give n(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34707, 34692, 34667, 34632, 34587, 34532?\n\"Answer: -5*z**2 + 34712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1260 - 723. Let p = z + -537. Which is the second biggest value? (a) 12\/11 (b) p (c) -3\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 15137?\nAnswer: -3027.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (9 + -4))*2. Sort q, -5, -53 in ascending order.\nAnswer: -53, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a - 29*a - 4*a - a + 2*a - 4*a + (a + 0*a + 0*a)*(-3 + 7 + 1).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61, 144, 229, 316, 405, 496?\n\"Answer: i**2 + 80*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 + 0 = 0. Suppose -n + k*n - 10 = 0. Suppose 0 = -7*i + 2*i + 30. What is the remainder when n is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -3. Let c(w) = -4*w + 40. Let f be c(9). Suppose q + f = x. Solve -4*k + 3*m + 17 = 0, 4*k + m + q*m + 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 316 = -4*l - 91, 3*l = 2*u + 155. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 35, 41, 43, 41, 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177*r**5 - 18*r**5 + 15*r**5 + 343*r - 66*r**5 wrt r?\nAnswer: -4920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2067, -16703, -56423, -133767, -261275, -451487, -716943, -1070183?\n\"Answer: -2090*v**3 - 2*v**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + 69 + -250 + 80?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 186932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 46*u**2 - 949*u + 53706. Determine q(49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 + 182. Suppose 0 = 3*l + 39 - 15. Let w = l + h. Solve -2*z = -w*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 3:22 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10380*n + 10315*n = 1430 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41882*b**2*l*y**3 + 2926*b**2*y - 47*b*l**3*y**3 - 25*b*y - l**3*y**2 - 7*y**2 wrt y?\nAnswer: -251292*b**2*l - 282*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 1423, 2857, 4711, 6985?\nAnswer: 9679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 2*f + 3665. Let v = f + 2507. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47132873 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2\/2 + 280*f + 15399\/2 = 0.\nAnswer: -531, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4545703668533821963\/4010178 + -1133541620480. Let m = n - 2\/23047. Calculate the common denominator of 83\/10 and m.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19746075 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c**5 + 0*c + 20 - 1\/3*c**6 + 0*c**3 + c**2 + 0*c**4. What is the second derivative of a(g) wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 1. Let f(c) = -11*c - 6. Let u(j) = 34*b(j) + 6*f(j). List the prime factors of u(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(153) + -1)**2 + sqrt(153)).\nAnswer: -462 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60949 + -27447. What are the prime factors of z?\nAnswer: 2, 7, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24333, -48207, -72087, -95973, -119865?\n\"Answer: -3*y**2 - 23865*y - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywygyggwwyg. What is prob of sequence wg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553615 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/9 + 106*a**2\/9 - 230*a\/3 + 118 = 0. Calculate a.\nAnswer: -59, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -37374120 divided by 311451\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 1\/1512*c**8 - c**2 + 0*c**3 + 0 + 0*c**4 + 1\/270*c**5 - 1\/945*c**7 + 0*c - 1\/540*c**6. Factor k(b).\nAnswer: 2*b**2*(b - 1)**2*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 1\/8, -1, 1747493?\nAnswer: 1747493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 7*c**2 + 13*c - 2. Determine d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -5*b**3\/6 - 5*b**2 + 2*b. Let j be i(13). Let h = j + 142. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437117957?\nAnswer: 3, 11, 1612927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476780 = 682*h - 662*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-13)\/(-5) + 1)*-10. Let r = d + 85. Suppose -2*f = c + 7 - r, 2*f = -4*c + 42. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**6\/120 + 3*x**5\/10 + 8*x**4 + 208*x**3\/3 + 1731*x**2. Factor f(p).\nAnswer: -(p - 26)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -275005, -550023, -825035, -1100041, -1375041, -1650035?\n\"Answer: 3*t**2 - 275027*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1340.1 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101000 + 111?\nAnswer: 111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:41 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*m - 4, 4*m - 2*m - 4 = 0. Let f(p) = -4*p + 2*p**2 + 0*p**2 - p**d - 4. Give f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 1:38 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 123\/5 - (8 - (-168)\/(-20)). Suppose -5*z + h = 48 + 3, 3*z - 2*h = -a. Is z smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*z - 270 = -3*n - 113*z, 0 = 4*n - z - 385. Solve n*v - 91*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (254 + 63 + 46 + 348 + 179)*(n - n - n).\nAnswer: -890*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)\/u**8)\/(u**(-2\/9)\/u*u\/u**7) assuming u is positive.\nAnswer: u**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*k + 32*k = -72*k - 11*k - 6780 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*(b*b**(4\/9))\/b)**(-2\/29)*(b**(-2\/5)\/b)\/b**5*b*b**6*b*b**7\/b assuming b is positive.\nAnswer: b**(10238\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 10*y - 5*b = 54, -4 = b. Suppose -26*n = -y*n + 1040. Are 386\/3 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -22*c - 10. Let f(n) = -n**2 + 7*n + 3. Let o be f(8). Let a be u(o). What is the units digit of (-2)\/6 - a\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4570 = -4573 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-24)\/(-6)) + (-78)\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2*u**3\/3 - 7*u**2\/2 - 8*u + 24. Let z be t(6). What is the highest common factor of 33 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 10*k. Let q be j(-5). Let o = -2 - -7. Let y(n) = -n**2 + 6*n - 2. Let l be y(o). Solve -l*b - 4*g = -q, -2*g = b - 0*g - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 11*r + 20. Let s(h) be the third derivative of 1\/120*h**6 + 0*h + 0 + 0*h**4 - 1\/60*h**r + 0*h**3 - h**2. Determine q, given that s(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125055223 (base 6) to base 15.\nAnswer: -33ee10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (1 + (3 - 1)). Let f(i) be the first derivative of g*i**4 + 4\/5*i**5 + 0*i**3 + 0*i - 2 + 1\/2*i**2. Find the second derivative of f(u) wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -87*b + 128. Let n(q) be the third derivative of 0*q - 11\/30*q**5 - 30*q**2 + 0*q**b - 3\/8*q**4 + 0. What is the second derivative of n(x) wrt x?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 5, s: 1, h: 4}. What is prob of sequence jc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 99282196.\nAnswer: -3\/99282196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 121*c*q*z + 28*c*q + 671*c*z - 12*c + 3*q*z - 124*q - 173*z - 2 wrt q?\nAnswer: 121*c*z + 28*c + 3*z - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 214, 408, 670, 1018?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001189422 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 6*p**2 - 7*p - 6. Let m be b(-7). Let f(v) = -v**2 - 13*v - 6. Is 12 a factor of f(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*53\/((-5565)\/810))\/(5\/(40\/12))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*b = 0, -37*b + 673 = -2*z - 41*b + 655 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) - ((-3*sqrt(1210) - sqrt(10)) + sqrt(10))).\nAnswer: sqrt(7)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -39, -86, -151, -234, -335, -454?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-18) + 28\/63. Determine x, given that 0 + 1\/6*x**5 + 0*x**4 + 0*x**2 - y*x**3 + 1\/6*x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-10))\/(1\/(-5)). Let y = 12 - r. Let k be (-4 - -13)*(12 - 1). What is the highest common factor of y and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 85.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 16*j**2 + 43*j - 17. Let y be m(-20). Suppose 123*s = 122*s + y. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}