diff --git "a/data/dm_maths/full_data_1/219_11255.jsonl" "b/data/dm_maths/full_data_1/219_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/219_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f(y) = y**2 - 6*y + 5. Let l be f(5). Suppose -2*j + 14 + 6 = l. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.03301, -2, -0.5.\nAnswer: -3, -2, -0.5, 0.03301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 104805?\nAnswer: 209610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z - 5*z)*(3*z**4 - 5*z**4 + z**4) - 3 + 2*z**5 + 3 - 49*z**5 + 13*z**5 + 3*z**5 + (0 + 6 - 5)*(-3*z**5 - z**5 + 3*z**5).\nAnswer: -29*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14352 and 7872?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21723, -88540, -200453, -357462, -559567, -806768?\nAnswer: -1099065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -6224253?\nAnswer: -2\/2074751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278136 divided by -6.\nAnswer: 46356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4 - 3.9. What is the nearest to 1\/2 in k, 1, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = 2*a - 3*q + 5*q, -4*a - 5*q = 601. Let t = a - -159. Solve t*j - 3*j = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -4 (c) 23 (d) -1\/3 (e) 6\/11827\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + g**4 + 66191*g**2 + g**3 + 4*g**4 - 66216*g**2 to r*g**3 + a*g**2 + z + p*g**4 + q*g and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 4*a)*(-613 - 851 - 594) + (0 - 2 + 3)*(2*a - 40 + 40) to the form d + p*a and give p.\nAnswer: 8234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8477, 34074, 76717, 136412, 213165, 306982, 417869?\n\"Answer: k**3 + 8517*k**2 + 39*k - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*n + 837, -421 = -n + 4*z - 5*z. List the prime factors of n.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(1248\/(-84))*61\/61.\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-24) + (-2)\/(-3))\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/896 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46422, 46573, 46974, 47751, 49030, 50937, 53598?\nAnswer: 57139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/41 in 2\/19, 0.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 790 = 510. Suppose -2*u = -5*u + 4*a + 312, 5*u = 4*a + 528. What is the remainder when u is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:40 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103123 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -168685.2 and 57670.\nAnswer: -111015.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 4*h - 2. Let c(k) = -4*k - 9. Let p be c(-1). What is j(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4503009 + 0*v - 6*v**2 - 51*v + 4503012 to the form p + w*v**2 + t*v and give t.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -638*r*v**2 - r - 111*v**2 - 135522 wrt v?\nAnswer: -1276*r*v - 222*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 - 1050 + 593 + 6*f**3 + 457.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20290*p**2 + 35*p - 28*p + 20289*p**2 - 7*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-30) + 28\/(-315)*5*171\/(-24)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 m when four letters picked without replacement from {u: 7, m: 12}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214962.\nAnswer: 2, 3, 11, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -2.\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 2. Suppose -132 = -t*i - 54. Let f(x) = -13*x + 742. What is the remainder when i is divided by f(56)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 19*l + 11. Let k be o(-10). Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85363772?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 256\/140) + 6\/14.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 150*w + 280.\nAnswer: 5*(w + 2)*(w + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 - 22?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, 8, 52, 2.1, -3\/2.\nAnswer: -3\/2, -0.22, 2.1, 8, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 25\/4*b**4 - 145\/6*b**3 + 47*b**2 - 1\/12*b**5 + 1 + 0*b. Let c(d) = 0. What is d?\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 + 3316*a**4 - 16668*a**3 + 10028*a**2 + 16664*a - 13344 = 0. Calculate a.\nAnswer: -834, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17827118 is divided by 169?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19658 (b) 0.8 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 - 4*k + 5. Let f(l) = -7*l**3 + 9*l - 11. Give -3*f(z) - 7*m(z).\nAnswer: -7*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -17*b + 4. List the prime factors of z(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-9) - 17\/153.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 221 = -3*v, -3*t = 3*v - 0*t - 219. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 (base 13) in base 2?\nAnswer: -110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011100010000000 (base 2) to base 6.\nAnswer: 10344144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/30*(-53)\/(-265)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3369619 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196932459.\nAnswer: 83, 131, 110083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -41\/309, 2\/75, -1, 5, 0 in increasing order.\nAnswer: -1, -41\/309, 0, 2\/75, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(6\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 3519586\nAnswer: -17597930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 17*r**6\/30 - 7*r**4\/6 + r - 9. Find the third derivative of o(y) wrt y.\nAnswer: 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(2365\/516)*(-2)\/4*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 + 32*l**2 - 160*l + 1203. Calculate v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 343984 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 7*p + 143. Let b be p - ((-6)\/2 - (-1 + -5)). Suppose 5*x - 15 = 5*l + 20, 4*x = -3*l + 14. Solve x*r = b + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15518 - (-3 + 3 + -2). Let u be (2653398\/27)\/(((-3)\/2)\/1). Let q = u - o. Round q to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*l**5 - 27*l**5 + 57*l**5 + (-1 - 2*l + 1)*(l**4 + l**4 + 0*l**4))*(-3 - 2 + 3).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7677*o*q**2 - 7111*o + q**2 + 2*q wrt q.\nAnswer: 15354*o*q + 2*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q - 8. Let n(v) = 6*v**2 + 3. Let t(p) = p**2 - 1. Let x(b) = n(b) + 5*t(b). Calculate the remainder when x(-2) is divided by i(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -1, 66, -112, 4, 5 in decreasing order.\nAnswer: 66, 5, 4, 0, -1, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 - 210. Suppose 3*l = 2 + 10. Suppose l*y + 15 = 4*a - 9, y - 44 = -4*a. What is the remainder when q is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*w + 10, 4*k + 16 - 6 = -5*w. Let d(n) = 7*n**3 + 498*n**2 + 496*n - 2. Let l be d(-1). Sort w, 6, l in descending order.\nAnswer: 6, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0685 + -3.1585. What is d rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 3*j + 20. Let d(c) be the third derivative of c**5\/60 - c**4\/6 - 7*c**3\/2 - 131*c**2. Let g(k) = 3*d(k) + 4*x(k). Calculate g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -52*d. Suppose -3180*n = -3152*n + 84. Let f(a) = 3*a. What is n*q(g) - 78*f(g)?\nAnswer: -78*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 9*u**2 - 2. Let n be ((-8)\/(-16))\/(1\/30). Let v(f) = 2*f**3 - 10*f**2 + 2*f + 2. Let m be v(5). Suppose 3*o = -n - m. Determine r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0425 - 56453.6.\nAnswer: -56453.5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 6*p**2 + 6*p + 3. Let g be n(-4). Let f = -11 + 12. What is the highest common factor of g and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0388159 and 3.\nAnswer: 2.9611841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/54450 and 41\/27225.\nAnswer: 54450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 383784491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -84.7. Which is smaller: -1\/3 or l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 2*i**3 - 3*i**3 + (-45*i - 50*i + 115*i)*(0*i**2 - 3*i**2 + 4*i**2).\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8350*r**2 + 8350*r**2 + 4847*r**3.\nAnswer: 4847*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09324069289 to 6 dps.\nAnswer: -0.093241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45194.89 micrometers?\nAnswer: 45194890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h**2. Let y(b) = 2122804*b. Calculate w(y(c)).\nAnswer: -85619639625904*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1590797 to the nearest ten thousand.\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 56*p + 17. Calculate m(5).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 3*l**2 - 6*l + 7. Let w(t) = t**2 + 3*t - 2858. Let c be w(52). What is h(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + 2*v - v)*(79453*v - 3657*v**2 - 79453*v) as x*v + k*v**2 + l*v**3 + w and give l.\nAnswer: 7314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -5*c**4\/24 - 2*c**2 + 4419*c + 1. Let v(w) be the second derivative of w**3\/2 - w. Calculate d(v(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 2, h: 4}. What is prob of sequence hbhb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 2.393\nAnswer: 14.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 54*z**2 + 541*z - 3. Give v(-8).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-3))\/((-2)\/(-12)). Let d = 9 + -4. Suppose -2*f = -d*t + 4*t + 10, -3*t - 3*f = -3. Calculate the highest common divisor of t and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2984, -226, -42 in ascending order.\nAnswer: -226, -42, -5, 2984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -4. Suppose -5*x = 2*i + 2*i, o*i + 20 = 0. Suppose 51 = x*u + 19. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -17, -58, -121, -206, -313, -442?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(160) - sqrt(160)*-2 - sqrt(160)) + sqrt(160))\/((sqrt(432) + sqrt(48))\/sqrt(12)))\/(-1*-6*sqrt(128)*6).\nAnswer: 13*sqrt(5)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 2*m - 2. Let y be (5 + -1)\/((-8)\/(-6)). What is f(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5338 times 159657?\nAnswer: -852249066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 4 (c) 1\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 1413598?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.934 to 1 dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030473908 rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -54, -122, -218, -342, -494?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529541 = -73*a + 1269339 - 509116. Does 116 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -2\/5, -2, -11.21, 66, 0.2?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 10 - 8. Let p be (-35 - 6\/a)\/2. Let d be (-2 - p) + 6\/3 + -3. What is the greatest common factor of 128 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -505 and 0.09486.\nAnswer: -47.9043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 478749150 to the nearest integer?\nAnswer: 21880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 76707.98ug?\nAnswer: 0.00000007670798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1249 + -1084. Calculate the highest common divisor of n and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.5. Let o = -59 - -173\/3. Let y(u) = -u**3 - 84*u**2 - 881*u - 1228. Let r be y(-72). Put o, r, a in increasing order.\nAnswer: r, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1359070381 to 4 dps.\nAnswer: 0.1359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 7*h**2\/4 + 9.\nAnswer: (h - 6)*(h - 3)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-70)\/(-21) + -4)*-2. Let b = 29\/33 + -6\/11. Put w, 5, b, -0.2 in ascending order.\nAnswer: -0.2, b, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5*t = 24, -5*h = 6*t - 2*t - 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1786*i. Let t(u) = 21*u. Let r(k) = 171*t(k) - 2*v(k). Let y(o) = -2*o. Determine y(r(x)).\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240200*u**3 + 15*u**2 - 28*u + 46 wrt u.\nAnswer: 1441200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -91723906.\nAnswer: 5\/45861953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 688807448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1127686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, 0, 2\/3, 3, -2\/17, -0.5, -4.99?\nAnswer: -4.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -945 + 1576. Let y = -635 + r. Let c = -0.1 - 0.4. What is the second smallest value in y, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-126))\/(6\/(-28))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -2, -0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1516\/(-420) - (-44)\/11*1. Let w = 8396\/21 + -400. Let m = a + w. What is the second biggest value in m, 1\/10, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779192029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 100*y**2 + 147*y + 807. Is u(34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 4*p. Let r = -113 - -108. Let z(o) = -o**2 + 4*o + 1. Let m(g) = r*z(g) - 4*t(g). Give m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m + 2*w = -0*m + 39*m + 42, 5*m - 3*w + 57 = -0*m + m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 80*t. Let a(m) = -4*m. What is a(b(r))?\nAnswer: -320*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -72. Let t = -38 + v. Solve 2*j - t = 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -37. Suppose -z*t - 13 = -1. Let v be (-6 - t)*(0 - 1). Let h(d) = 2*d + 4. What is h(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 + (186\/(-24) - -7). Suppose 3*k = -q*k - 36. Let b(n) = n**2 + 13*n + 3. Give b(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 54*h**2 - 67*h - 734. Calculate q(-53).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 10) + (-13)\/(-3). Which is the third biggest value? (a) 0.4 (b) 0.08 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 12:41 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44\/383 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 k, and 2 n when four letters picked without replacement from noonnkookooknknoko?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6) - 17\/22. Let p(t) = 4*t + 7. Let g be p(-2). Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19d - 4?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f + 14. Calculate w(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:22 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 271. Let b = -202992738 - -202992584.000061. Let w = b + s. Round w to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3940 + -3842. Calculate the remainder when f is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -3*m - 2*m. Solve -5*g = -2*t + m, -3*g - g = 4*t - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 26*m**2 + m + 2. Let n(z) = -51*z**2 - 2*z - 4. Give 5*h(v) + 2*n(v).\nAnswer: 28*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 25 - 40 = -21. Which is the nearest to -34? (a) 2\/7 (b) 6 (c) 4\/3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*z**2 + 3284*z**2 + 0*z**3 + 24*z**3 - 54*z**2.\nAnswer: 24*z**3 + 3102*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4466 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -123*h**3 - 15*h**2 - 15*h + 15. Let u(l) = l**2 + l - 1. What is -g(s) - 15*u(s)?\nAnswer: 123*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -60, -6481, -17\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3796 - 412*y**2 - 1633*y**3 - 1893 - 1903 wrt y.\nAnswer: -9798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119.67 - -119. Let s = j + 0.27. What is the third biggest value in -7, -2\/13, s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31980 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 7322211\/5 and 1464441 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -408*(159\/4 - (56 + -16))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -151 + 1?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - k = -9*n - 71, -18*n - 259 = -5*k - 88 + 148 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + h - 4*h = -4, u - 6 = 2*h. Let s(q) be the first derivative of 0*q - u - 1\/2*q**2. Let p(a) = -2*a. Give s(p(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(16)*-2)\/sqrt(8))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 266\/105*(-153)\/102?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*b - 15, 4*o + 1235*b = 1239*b + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -0.2, -10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8102 (base 10) in base 5?\nAnswer: 224402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1125363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 24*i - 6. Let t(h) = -42*h. Give m(t(u)).\nAnswer: -1008*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -541550819*v**4 + 350530998?\nAnswer: -2166203276*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2544 and -137\/8268.\nAnswer: 33072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1272, 2536, 3776, 4980, 6136, 7232?\nAnswer: 8256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 13. Let y be s(10). Let q be (-2)\/3 + 42\/9. Let f be y + -3 + q\/14. What is the third smallest value in 2, f, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.03713 times -15\nAnswer: 195.55695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-7 + 4 - -1). Suppose 3*v = 5*o + 192, g*v = -4*o + 128 + 22. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79154.133 rounded to the nearest one thousand?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.51 to zero decimal places.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028663.\nAnswer: 1028663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 - 3*m + 3. Let n be (1*2)\/((-2)\/4). Let z(w) = -5*w**2 - 4*w + 4. Calculate n*o(c) + 3*z(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*-5*84\/280. Let y(j) = j**3 + 5*j**2 - 3*j - 7. Let k be y(-5). Solve -n*z + k = -7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i + 68 + 51 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279 is divided by 65?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/7*b - 6\/7*b**4 + 0 + 3\/7*b**5 + 0*b**3 + 6\/7*b**2 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:19 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 + 6*c. Let h be r(-10). Suppose -2*y - 2*y + 8 = 0, j - 13 = -5*y. Suppose -j*v + h = 2*v. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z = 28*z + 4*w - 5, 9 = 5*z + 4*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -20 + 11)*(-33)\/6 + (-1136)\/104.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*a = a + 3, -3*a = 3*v. Suppose 0 = 10*i + 108 - 148. Suppose 3*s - 5*o = 13, i*o - 7*o - 3 = 3*s. What is the closest to s in v, -0.5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:47 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20 = 5*b - 96, 5*r + 180 = 10*b. Let c = 16 - -4. Calculate the highest common divisor of b and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127917, 255820, 383723?\nAnswer: 511626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4559100 to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*n + 17, 4*n - 9 = 2*n - 3*q. Suppose -4*b + n*t + 192 = 0, -t = -3*b - 6*t + 115. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = -2*j, 6*j + 4*q - 18 = 3*j. Let c = j + -4. Suppose g = c*g - 11. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*c + 23 - 8 - 43*c)*(-4 + 3 + 0).\nAnswer: 8*c - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 + 5 = 0. Let k(b) = -29*b - 136. Let z be k(-11). Suppose 189*n = z*n - 18. Sort v, -2, n, 0 in descending order.\nAnswer: v, 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212718 to the power of 1\/2, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3 + 1091496*z**2 + 8732112*z + 17464320 = 0?\nAnswer: -4, 363840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1775 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98594.2 and 392?\nAnswer: -38648926.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (39446 - -2) + 170 + -179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 49740005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a + 78 = -22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2623*g**3 - 254*g**3 - 301*g**3 - 971*g**3.\nAnswer: 1097*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + (21 - 25) + (3 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*y - 13 + 11 + 378*y - 1075*y.\nAnswer: -158*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = r - 10, 4*r + 0*i - 25 = -5*i. Suppose -212 - 308 = -r*f. Calculate the remainder when f is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-9 + 9 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0051 and -0.05.\nAnswer: 0.000255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103432776*s**5 - s**3 + 25*s**2 + 4426168?\nAnswer: -6205966560*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 789253965 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-227 - 120 + 120)*(9*c - 31 + 31) + c - 5*c + 0*c in the form m*c + p and give m.\nAnswer: -2047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2121 (base 3) to base 13\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/13)*l)*l*l**8*(l*l\/(l**(-10)*l))\/((l**(-6)*l)\/l))**16 assuming l is positive.\nAnswer: l**(5232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4 - 456*r**3 + 902*r**2 + 456*r - 904 = 0.\nAnswer: -1, 1, 2, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67 - -3.87944.\nAnswer: 70.87944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.128+-1567203672\nAnswer: -1567203672.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1150 - 3121. Let x = -1127 - y. Suppose -7*h + x = -5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 18 = -58. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219979951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, 0.463, -5, -2.49?\nAnswer: 0.463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 856213032 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4192179 + 4192135 = 0 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -871046610 rounded to the nearest one hundred thousand?\nAnswer: -871000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*r + 20, r - 6*r = 0. Solve 2*m + 4*h = 6 + y, 15 = 3*m + h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366808480 to the nearest integer?\nAnswer: 19152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + p**2)*(6*p**2 - 7*p**2 - 11*p**2 + (-p - 3 + 3)*(-2*p + p + 0*p) + 4*p**2 + 3*p**2 - 4*p**2).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02523941 + 3.43527521. Let m = -3.41 + h. What is m rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6291 or 6290?\nAnswer: 6291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4 + 1. Let n = 4 - q. Let r be 7\/(n\/(18\/3)). Solve y - r = -5*h, 4*h + 5*y = 3*h + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w - 35. Give h(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/10 - j**4\/6 + 8*j**2. What is the second derivative of m(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14271, -28992, -43727, -58482, -73263?\nAnswer: -88076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) - (sqrt(512) + -1 - sqrt(512)) - (0 + sqrt(2) + sqrt(2))*-6*-5)**2.\nAnswer: -88*sqrt(2) + 3873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78526896901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-15950)\/(-87))*(-8)\/(-6)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4 = -h, -2*y - 2*y - 16 = 4*h. Let l = -8 + 17. Let p = 9 - l. Solve -j + 1 + y = p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -208 in decreasing order.\nAnswer: 5, -4, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -968 by 4.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -2012020?\nAnswer: 2012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 248.04507 months?\nAnswer: 0.0206704225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2364705449184 - 2364705448007.999999123. Let s = -1176 + t. Round s to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -7878.\nAnswer: -7877.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 203*w + 171*w - 650*w + 224*w. Let h(s) = 7*s - 6. Let o(x) = 13*x - 11. Let j(a) = 11*h(a) - 6*o(a). Calculate m(j(b)).\nAnswer: 52*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let a(s) = 814251724*s. Determine z(a(k)).\nAnswer: -663005870036972176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149182 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -13. Let a = -691 - -8985\/13. What is the closest to -7 in a, -2\/19, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*v + 5*v. Suppose -y + 5 = v. Is (-2)\/y + (-142)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299142121.\nAnswer: 299142121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -4\/3*t**3 + 21*t + 43\/2*t**2 + 1\/2*t**4 + 2. Is p(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a. Suppose 4*d - 18 = -3*n + 4, 0 = -d + 3*n + 13. Let q(t) = 5*t + 2*t - 2*t**2 - d*t. Give q(x(f)).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*t - 255, 290 = 5*s + 5*t + 45. Suppose 0 = 2*p - s + 2. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 205\/(-2) + (-3)\/(-6). What is the common denominator of 1\/(-4)*-38 + 1 and (-2)\/(-12)*j\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from daaaeadqex?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3646 + 2365. Let o = -1280.8926 - d. Round o to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184 plus -3.5?\nAnswer: 5180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (-16470)\/(-135) - -198.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = -2*w + 1068. Suppose -4*x + w = 4*q, -4*x + 147 = -3*x - 5*q. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61631144 to the nearest integer?\nAnswer: 7851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.1 - 12?\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7676846 * -0.08\nAnswer: -614147.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-4)\/(-1)) + 2. Let z = 21 + -11. Calculate the least common multiple of i\/4 - 66\/(-4) and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 91. Let d = -0.021 + -4.979. Let a = d + 4.9. What is the second biggest value in 1\/5, a, n, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:56 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 4*q**2 - 6*q - 3. Let y be t(-5). Suppose 2*r + 2*p = 0, -2*p = y*r - p. Let f(n) = n**2. Let i be f(r). Solve i = 3*z + 13 + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -30. Let n = 34.5 - 34. Sort f, n, 4 in descending order.\nAnswer: 4, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*b = 1, b - 8 = l - 3. Let g(c) = -c**3 - 9*c**2 - 9*c. Let v be g(l). Calculate the greatest common divisor of v and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*u - 323 = -5740, -3*u - 5377 = -s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.1 - 4.3. Let v = 1.2 + o. Do 1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = j. Suppose j*w - 2*w = 16. Find the third derivative of -w*t**2 + t**2 - 5*t**2 + 5*t**4 + 5*t**4 wrt t.\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 8*x**3 + 101*x**2\/2 + 59*x. List the prime factors of c(10).\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*k + 5*k + 3, -4*k + 3 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 - 45. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/102 and 19\/1554055?\nAnswer: 9324330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, r: 2, d: 1, l: 1, i: 1}. Give prob of sequence lldi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 552, 822, 1090, 1356, 1620, 1882?\nAnswer: 2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - 8) - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from isdysiidsb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.3473 greater than or equal to -7\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**5*d*d**(-1)\/d)\/(d*d**6*d*d*(d\/(d\/(d**(-5\/3)\/d)))\/d))**(2\/87))**(-2\/27) assuming d is positive.\nAnswer: d**(16\/7047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -180, -241, -360, -567, -892, -1365, -2016?\n\"Answer: -5*j**3 + j**2 - 29*j - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(-9))\/s))\/(s\/(((s**(-6)\/s*s)\/s)\/s)))**(-23) assuming s is positive.\nAnswer: s**391","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((18880\/550)\/4 - ((-265)\/55 + 5)) + -8. Let h = 46 + -45.929. What is the closest to 0 in h, 2\/21, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.84722177 to one dp.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48815, 48827, 48863, 48935, 49055, 49235, 49487, 49823?\nAnswer: 50255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48715*f**3 + 37*f**2 - 51 wrt f?\nAnswer: 292290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 19*r + 83. What is p(12)?\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 306\/24*(-24)\/9*26\/(520\/(-30))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-20)\/(-5) + -6 + 83 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 - 606*b**3 - 89*b**3 - 182*b**3 + 328*b**3.\nAnswer: -549*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(448) + sqrt(448) + -3)*6)**2.\nAnswer: -4608*sqrt(7) + 65088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270.6 + 271. Let g be (-3 + 1)*1\/(-13). Which is the smallest value? (a) -0.04 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 13*l**4\/9 + l**3\/9 - 52*l**2\/3 + 196*l\/9 + 16\/9 = 0.\nAnswer: -4, -1\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70485487\/545835 + -2\/181945. Let v = 129 + k. Which is the smallest value? (a) -1 (b) v (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 5, r: 4}. Give prob of picking 2 k and 1 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79128834 and 9834.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 - (-7 - -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8962\/2266667 - -4\/1543. Is m at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:57 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -11, -14, -17?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.075, -1\/7, -1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223227 less than -459602.7?\nAnswer: -682829.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f + 3. Let t(k) = 1. Let m = 69 + -64. What is m*t(z) - s(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z. Let d = 2 - 1. Suppose 3*q = 2 + d. Let y(r) = 5*r + q - 1. Determine t(y(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:17 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.51 rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Let z be (1 - 1 - 1)*2. Suppose 3*o - 24 = -o - 4*t, 4*o - 4*t = 0. Sort z, o, n in decreasing order.\nAnswer: n, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22969312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1607*s + 1592*s - 195 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = -12. What is the second derivative of -l**3 + l**3 - 7*l**4 - 3*l + 2*l**d wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 74422*a**2 + 3345340*a + 14866400.\nAnswer: 2*(a + 5)*(a + 40)*(a + 37166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/3)*(-8)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 14*v - 39. Let w be i(-16). Let j(t) = -t**2 - 5*t + 5. What is j(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i - 9 = 2499 + 79 + 91 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*96\/(-480)*8\/(96\/45).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226819 divided by 226819?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39991, -79981, -119971?\n\"Answer: -39990*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, -44, 4 in increasing order.\nAnswer: -44, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + 0*i - 2*i)*(-4 + 3 + 2) + 5*i - i - i + 45924*i - 756 - 751 + 1507 as r + t*i and give t.\nAnswer: 45925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 0 - w**3 - 3 + 3*w**2 + w**2. Let i be g(4). Let m be 3\/(54\/(-4)) + (-8103)\/3996. Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 49. Let o be (-16)\/(-18)*j\/20. Factor -o*p**2 + 0 + 1\/3*p**3 + 2\/3*p**4 - 1\/3*p.\nAnswer: p*(p - 1)*(p + 1)*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwuuuuwwuwwuwwuu. What is prob of sequence uuuw?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 6*p**2 - 3*p. What is the tens digit of t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1552 divided by -4\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z - 5 + 0*z**3 - 5*z**3 - z**2 + 3 + 3*z to the form h + x*z**3 + i*z**2 + n*z and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -317, -1, 3, -10, 0 in ascending order.\nAnswer: -317, -10, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, -24, -1757, 4\/3, -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*o - 9, 0 = o + 3*o + 4*n - 12. Suppose -2*z - o = -7. Suppose 7*t**5 - 5*t**5 - t**4 - z*t**5 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12045\/54*(-99)\/(-6). Let d = k - 3675. What is the common denominator of d and 121\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*l, 38107*l - 96 = -3*p + 38110*l for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**2\/4 + 4485*z\/4 + 80325\/2 = 0.\nAnswer: -35, 1530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 1. Let s be 1*(2 + -4) - 1. Calculate the remainder when 19 is divided by y(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31668736 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 3*u - 8. Let m be j(-8). Suppose -s = s + m. Let d be (-34)\/s - (-1)\/(-4). Solve 4*b = -3*h, -2*b + h - 6 = d*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36221*d - 10172*d + 139165*d - 14430*d.\nAnswer: 150784*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -17*k + 350. Solve 0 = 2*h - 5*y - k, -4*h + 4*y + 17 + 23 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/5 - 87*p**4\/5 - 489*p**3\/5 - 233*p**2\/5 + 162*p = 0.\nAnswer: -81, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36953 + 60416. Does 99 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/(171\/(-1995)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(-2*sqrt(156) - sqrt(156)))\/(sqrt(300)*-2))**2.\nAnswer: 7488\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 920\/(-105) + (-5 + 7 - -2). Let o = b + 29\/6. Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -6*h**3 + 219*h**2 - 708*h + 495 = 0.\nAnswer: 1, 5\/2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/32 - -29\/32. Let w(p) be the first derivative of -s*p**2 - 4 - 3*p. Give w(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1013 - -11?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 21*i - 4. Let c = 90 + -69. Let h be x(c). List the prime factors of (33*(-4)\/14)\/(h\/28).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2\/5 (b) -1 (c) 0.9 (d) -0.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 2*b**2 - b - 2. Let c be s(-2). Let g = c - 13. Suppose -g*m + 21 + 3 = 0. What is the least common multiple of m and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*m + 224 = 44*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336518 is divided by 167472?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*a**2*q**2 + 494363*a**2 - 32664*a*q**2 + 4*a*q + 2*a + 2*q**2 + 2*q wrt q.\nAnswer: -338*a**2 - 65328*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 392499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 994 by -71.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1633820 is divided by 986.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36695 by -5.\nAnswer: 7339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*u - 153 + 29, 4*f - 4*u = 560. Let k = f - 106. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 - (2331\/590 - (-464)\/116) and -15\/118?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/33 - 2\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -75. Suppose -7374 = -2*i - i - k*r, 5*i - 4*r - 12327 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/4*2\/(-4)*-4. Calculate the highest common divisor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*s**3 - 22*s**3 + 118*s**2 + 24*s**3 - 117*s**2 + 51*s**3 - 21 wrt s.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (37 - (18 + -3)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-90)*-3*(2\/6)\/(75\/(-1350)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6*1*2. Let v be (0 + p - 1) + 11. Let c = 6 + v. Calculate the remainder when 44 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h**2 + 2*h + 2. Let a be x(-1). Let r be 3449\/a + (-12)\/54. Let v(y) = -r + 383 - y**2. Let s(i) = 2*i**2. Determine v(s(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 200211121220000 (base 3) to base 11\nAnswer: 5718690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -0.4, 0.05, -2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-9)\/2 + 3. Let j = 40028 + -40004. Determine v so that -l*v + j*v**2 - 3 + 45\/2*v**3 = 0.\nAnswer: -1, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0239*3\nAnswer: -0.0717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1287 + 1212 + -1 + 78. What is c in 7\/2*c**5 + 10*c**3 + 2*c**j + 23\/2*c**4 + 0*c + 0 = 0?\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + (-4*1*sqrt(65) + sqrt(65) - sqrt(65)) - sqrt(65) - sqrt(65))\/(sqrt(5) + (sqrt(245)*-1 - sqrt(5)))*-6 + -3)*-2.\nAnswer: 6 + 60*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 19*i**2 + i - 109. Calculate the remainder when d(-11) is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 61144?\nAnswer: 61144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61977958, 61977963, 61977968, 61977973?\n\"Answer: 5*i + 61977953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2303687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/267003 and 91\/59334.\nAnswer: 534006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.79 + -1.2. Let p = -0.01 - m. Let k = -0.2 - -0.7. Put p, 0.06, k in descending order.\nAnswer: k, p, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:45 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9\/32*(57 + 9686\/(-174))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57447810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 138, 185, 232, 279?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t. Let s(v) = v + 1. Let y(w) = -6*w - 4. Suppose -3*h = 2*h + 3*f + 8, 3*f + 2 = h. Let z(d) = h*y(d) - 4*s(d). Calculate j(z(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14921703 and 52893.\nAnswer: 134295327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcohmmqhhqmh. What is prob of picking 1 m and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45064, -44995, -44926?\n\"Answer: 69*m - 45133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48781541129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = f - 21, -2 - 3 = -a + 5*f. Let i be (16\/(-20))\/((-4)\/a). Factor -j**3 + j**4 - 2*j - i + 1 + 3*j**3.\nAnswer: (j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j - 16 + 16 as c*j + g and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = n + n + 11, 5*n + 3*a = -50. Is (n - 4)\/(3\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633296 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + -1 + -5 - (-2 + sqrt(2299))*-3) + -2 - (-1 + sqrt(2299) + 1 + -5*sqrt(2299))*6)**2.\nAnswer: -8624*sqrt(19) + 1802612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.47 - 6.518. Let m = -7.6 + a. Round m to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/17 + 16*t**4\/17 - 36*t**3\/17 + 8*t**2\/17 + 38*t\/17 - 24\/17 = 0.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((19*2\/114)\/(28\/(-6)))\/(-1)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/14*(-14)\/(-24))\/(4372095\/(-201789)).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**4 + 29*g**3 + 32*g**2 - 6*g + 208205.\nAnswer: -16*g**3 + 87*g**2 + 64*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = -4*p, -5 = -5*m + 6*p - p. Suppose 0*l - m*l = -36. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2216128851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 417626806603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 - 133782*s\/7 + 1491468627\/7.\nAnswer: 3*(s - 22297)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 1. Let m(z) = 6*z - 1. Suppose -5*h = -4*b + 32, -5*b = 7*h - 3*h + 1. Suppose 3*p - 3 = 3*f, 2*f - 8 + 9 = b*p. Determine p*m(k) - 3*g(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*c - 11*c - 7*c)*(-28 + 28 - 21*c) to i*c + k*c**2 + v and give k.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 20 = -2*p. Let r be (-1)\/(-1 + p\/5). Suppose -4*v = -2*v. Solve 0*u - r*u = v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9614750 and 26921300?\nAnswer: 134606500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/(-6608) + 1\/(-26))*(-161)\/46?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - u + 10, 3*u + 0*u = -4*w + 19. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.015, 3\/11, -9, 11 in decreasing order.\nAnswer: 11, 3\/11, -0.015, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 21*p + 2*p + 2*p - 5*p - 8.\nAnswer: -p - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -28. Let x = p - -68. Solve -3*j = -3*f + 9, 2*f + 34 - x = -4*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66, -101, -164, -261, -398, -581, -816?\n\"Answer: -h**3 - 8*h**2 - 4*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 40.589.\nAnswer: 40.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63 + (4 - (2 - -6)). Suppose 3*h + 0*h = 4*t - 41, -5*t = 4*h - c. Do 12 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 9*p - 16. Calculate m(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22756056 divided by -1896338?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p, 5*a + 5*p - 10 = 0. Let y(w) = -4*w + 82*w**a + 3 + 5*w - 4*w. Let d be y(-3). Round d to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 54. Let k = -5 - -5.3. What is the second biggest value in -1\/4, k, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(432) - -2*sqrt(432))*-4 + sqrt(432))\/sqrt(9))**2 + -3.\nAnswer: 5802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 807213\/(-10675) + 76 - (-2)\/(-14).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -8. Let q = 0 - k. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.21 * 0.4.\nAnswer: 6.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7176 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 + 3*d - 2. Let q = -7 + 12. Suppose -x - c = -4*x + 8, -3*c - 8 = -q*x. Is z(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 21a397?\nAnswer: -21a394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1085151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**3 - 27*n**2 + 3*n - 1. What is d(6)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 6. Let y(b) = b - 5. Let g(q) = -2*q + 14. Let f be g(7). Let i be 24\/(-40) + 34\/(-10) + f. Give i*y(n) + 3*z(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - v = -1386. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 - 25. Let z = j + 3945. Suppose 0 = p + z - 19124. What is p rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 divided by 4?\nAnswer: -1211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 12*l - 6 - 8*l - 9 - 6*l. Give h(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10023 + 41?\nAnswer: 10064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*w - 0*w. Let l = -15.85 + 0.55. Let n = -15.5 - l. Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 291, 845, 1887, 3579, 6083, 9561, 14175?\n\"Answer: 27*m**3 + m**2 + 36*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 = 1. Suppose -p*o - 4 = -2*y, 0 = -0*o + 4*o - 2*y + 8. Let h be 0\/o + (-4)\/(-18). Which is the biggest value? (a) h (b) -1 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:04 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260441.\nAnswer: 260441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 5, m: 4}. What is prob of picking 2 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/24 - 2585*s**4\/24 - 747*s**2 - 2*s + 1. Factor n(u).\nAnswer: -5*u*(u + 1034)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9 + 3*j - 4*j + 6. Let q be x(13). Factor -1\/3*i**3 + 0 - 1\/3*i - 2\/3*i**q.\nAnswer: -i*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 3\/23 (c) 2\/15 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2155205ns in microseconds?\nAnswer: 0.0002155205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81165, 80943, 80723, 80505, 80289, 80075, 79863?\nAnswer: 79653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -227*q**2 - 5243*q - 101. Determine u(-23).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 4*s + 4. Let i be k(4). Let t be 2\/(-6)*i\/18. What is the second biggest value in -5, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/24 + j**5\/60 - j**2. Let n be z(-1). Let d = 52499 - 52496. Solve -w - 15 = d*q, -4*w + 26 = -n*w - 5*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 191.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3772*v**2 + 2589*v**2 - v**3 - 3656*v**2 to r*v**2 + q*v + o + x*v**3 and give r.\nAnswer: -4839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213200 + 2323?\nAnswer: -210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 2:55 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99320726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (84 + (-37 - 15))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.129739 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000656805014 to seven decimal places.\nAnswer: -0.0006568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/60 + 17*n**4\/9 + 578*n**3\/9 + 48*n - 1. Factor f(w).\nAnswer: w*(w + 34)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21311222 + -3?\nAnswer: 21311213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 692 + -610. Calculate the lowest common multiple of 76 and z.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20466 divided by -10233\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m = -42 + 3354 for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.04 - -19. Let f = -0.08 - p. Which is the closest to 2\/5? (a) f (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -185, -187, -191, -197, -205, -215?\n\"Answer: -a**2 + a - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*h**2 + 114 - 42 - 35 - 254*h**2 - 39.\nAnswer: -459*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 3. Let s(g) = g - 2. Let j(o) = -3*l(o) + 4*s(o). Calculate the lowest common multiple of j(8) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*w + 24, 2*i - 22 = 3*w - 3*i. Is -99 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8975.4 - 9113. What is the second biggest value in q, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 45*b - 5. Let j be f(2). Suppose -2*n = -5*n + 174. Let o = n - 41. What is the highest common divisor of o and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + 5*-1*sqrt(243))**2 + (-1*(sqrt(432) + -1*sqrt(432) - sqrt(432)))**2*1 + 3).\nAnswer: -13020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-30)*-3*65\/(-39). Let i(f) = -6*f**2 - 5. Let z(c) = -13*c**2 - 11. What is t*i(g) - 4*z(g)?\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7384999 less than -7047?\nAnswer: 7377952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442912 is divided by 242?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**5\/20 + 7*n**4\/12 - n**3 - 3*n**2\/2 + 190*n. Suppose -2*g = 3*j - 0*g + 14, -2*g = -4. Is r(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4562*q + 165502 = -1625 + 2895 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 - -1. Let l = -82.5 + k. Which is the closest to l? (a) -3 (b) -1\/10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17005 + (-2 + 36\/8)*-2. What is j rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124221 + 103111?\nAnswer: 232332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k - 41. Let a be g(5). Let t = -83 - a. Suppose s + 10 = -5*h, 4*s = 3*h + 2*h + 10. Sort s, t, 2 in increasing order.\nAnswer: t, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8661509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4. Is (-4 + 1)*b - -538 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 114. Let a = s - -114. Suppose -a*w = -67*w - 11535. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -67 (b) 7 (c) 5.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + x - x + (-2*x**3 - 2*x**3 + 3*x**3)*(4 - 6 + 4) + 127*x**3 - 781*x**2 + 781*x**2.\nAnswer: 127*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (-5 + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 16*u - 11*u - 21*u - 23*u**2 + u**3 + u**3 to v*u**2 + y*u**3 + c + z*u and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is af + -fc?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 2*d**2 - 2*d + 2. Suppose 0 = 2*n + 3*o + 2, 3*n + 4*o - 5*o = 8. Determine a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 14 + 4\/((-12)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 45. Let z(t) = 2*t - 43. Calculate 6*q(d) + 7*z(d).\nAnswer: 2*d - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2108234217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/173, -4, -5\/3, 0.1.\nAnswer: -4, -5\/3, -1\/173, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-4)\/sqrt(10) - (-2 + -2 + 1*sqrt(5)).\nAnswer: -17*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1235*d**2 + 11143*d + 18. What is z(9)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 38*m. Let c(p) = -p**2 - p + 102*p - 104*p. Determine c(y(k)).\nAnswer: -1444*k**2 - 114*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b + 10 = 0. Suppose 2*h + 2*c = 12, -b*h + 3 = 4*c - 17. Let -2 - x**2 + 0*x**2 - 4*x - x**h = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/244167 and 43\/2175306?\nAnswer: 23928366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.62 + -12468?\nAnswer: -12465.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*1 + 5 + 3 + 3*(4 + sqrt(176) + -1) + -3)**2.\nAnswer: 448*sqrt(11) + 3012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**6 - 91*u**5 - u**4 + 474*u**2.\nAnswer: 480*u**3 - 5460*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153768 and 5960.\nAnswer: 768840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19071 by -6357.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 - -21aa0?\nAnswer: 21a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1781, 1955, 2245, 2651, 3173?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.2. Let t be -3 - (-742)\/(-246)*-1. Let q = t - 256\/615. Which is the closest to p? (a) 3 (b) q (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5833176 and 4176?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-24)\/81 - 4\/18. Let b(z) = -z**3 + 3*z + 3. Determine b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-1 - (-4)\/16). Calculate the common denominator of (-3480)\/s*(-1)\/(-20) and 10\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + 11\/(-10) - 2 and 1*(-3 - 48\/9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 4. Let n(y) = -4*y + 7*y + 3*y**2 - 2*y**2 + q. Calculate the remainder when 27 is divided by n(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 5*d = -48. Let n be d*-6*5\/20. Calculate the greatest common factor of 96 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.923 + 907?\nAnswer: 897.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 21*v - 20*v - 2668 = 0, 0 = -m - v + 667. Let t = 3316\/5 - m. Do t and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*a + 4319 - 4319 to o*a + j and give o.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 25*f + 14. Let s be x(7). Let y = s + -115. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/(-54) + 2\/(-12). Let j be ((-1)\/3)\/(-1)*-1. Put j, i, 2\/7 in descending order.\nAnswer: 2\/7, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + 77*s - 17. Let m be k(19). Factor 1 + 1251*j + j**3 - 1248*j - 1 - 4*j**m.\nAnswer: j*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 9254.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 5*f**2 - 8*f - 2. Let r be d(-6). Let z be r\/(-15) - 244\/(-6). What is the greatest common divisor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2092 - -3019?\nAnswer: d67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -11 + (11 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 18, -1, 0, 837, -4 in descending order.\nAnswer: 837, 18, 1, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + q + 115. Let g be o(-7). Solve -2*n - a + 19 = 29, -5*a + g = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -756*c + 134. What are the prime factors of u(-3)?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12*h - 912 = 0. Let c = 382 + h. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (132\/8)\/(-11)*6\/27. Which is the closest to -2? (a) -1\/2 (b) 2\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a8 (base 15) to base 14\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*s + 340, 0 = 2*h - 4*s - s - 326. Suppose 0*d + 26 = 2*d. Suppose 0 = d*v + 170 + h. Is v smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7350096 divided by -8?\nAnswer: -918762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115950 and 13350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 561342*k + 1122680.\nAnswer: (k - 561340)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 10*w**2 + 12*w + 16. Let j be c(-11). Let x = 0 - 0.1. Sort j, x, 0.4 in descending order.\nAnswer: j, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lemmu. Give prob of sequence ue.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 108. Calculate v(6).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2 + 3\/2). Suppose q = -p + 5*p. Suppose -3*u + p*u + 12 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 + 1570*u**4 + 192452*u**3 - 1192552*u**2 + 2410384*u - 1615360 = 0. Calculate u.\nAnswer: -631, -160, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1006481487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 328052314 to the power of 1\/3, to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -14. Calculate the greatest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -209*s - 1 - s**2 + 3 + 211*s. Let w(z) = 0*z + 2 - z - 3. Give -f(x) - 4*w(x).\nAnswer: x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4927, 4898, 4853, 4792, 4715?\nAnswer: 4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1572, 12571, 42420, 100545, 196372, 339327?\nAnswer: 538836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9108 and 513612.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2200112201010 (base 3) to base 14.\nAnswer: -29252a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6*b = 690. What is the greatest common divisor of 1173 and b?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -6)*2610\/928*17\/(340\/192)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96302*r**3 + 939*r**2 + 2*r wrt r.\nAnswer: 577812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = -2*g. List the prime factors of g\/(-2)*(8 - 12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -3855666764443?\nAnswer: 3855666764442.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589474 greater than 2589474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398 by 40.\nAnswer: -199\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 386884*h**2*v**3 - 24*h**2*v - 42*v**3 + 65388 wrt h?\nAnswer: 773768*h*v**3 - 48*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3930 + -3928. Solve t*w = w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4 - 56. Suppose -s - 2*s = -h. Suppose s*i - 21 + 5 = 0. Solve 3*f + 23 = -5*w, i*w + f + f = -18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476908?\nAnswer: 2, 3, 7, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -62194638, -124389282, -186583924, -248778564?\n\"Answer: t**2 - 62194647*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 56651?\nAnswer: 56656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18070, 36189, 54302, 72415, 90534, 108665, 126814?\nAnswer: 144987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/31 (b) 15 (c) -3 (d) 4 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137058*i**2*x**2 - 3*i**2 + i*x - 45*i + 869784349*x**2 wrt i?\nAnswer: 274116*i*x**2 - 6*i + x - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149852, 299721, 449590, 599459, 749328, 899197?\n\"Answer: 149869*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2*v + 4*v)*(3*v**2 - v**2 + 0*v**2)*(2 - 2 - 3*v).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*d - 5, -26*p + 29*p - 2*d = 1. Suppose 14*o - 1601 - 653 = 0. Put o, p, 5, 0 in ascending order.\nAnswer: p, 0, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/421 and -3\/10.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, -0.6, -4, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -161*j - 622. What is z(-3)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -3988?\nAnswer: -5\/1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7911, 8066, 8309, 8640?\nAnswer: 9059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5425\/3 or -0.1008?\nAnswer: -0.1008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 289 and 6.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2 - 5*a**2 + a + a**3 - 6*a - 3*a**3 + a**3. List the prime factors of z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15888.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 6, -7 - 2 = 3*t + 5*x. Suppose -3*j + 7 = -c, -t*j + 3*c + 10 = 5*c. Suppose 0*d + j*d = 39. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -124179772 and -4647.\nAnswer: -124184419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63770 is divided by 624?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**3 + 532*l**2 + 4*l - 403. What is a(76)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/180 + h**4\/8 - h**3\/3 - 2*h**2. Let r(j) be the first derivative of z(j). What is the first derivative of r(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (-27 + (-48 - -68) - 48).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/4 + 4800*x**3 - 7670394*x**2 - 30739200*x - 30758412.\nAnswer: -3*(x - 3202)**2*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -566.\nAnswer: 65\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t + 25. Suppose -g - t*q + 11030 = 4*g, -3*g = -5*q - 6594. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*o - 5*o**2 - 137*o)*(5*o + 3*o - o)*(4*o**2 + 2*o**2 - 3*o**2).\nAnswer: -105*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -11.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 - -203. Suppose -178 = -5*y + y - g, -y + d*g = -49. Calculate the remainder when 174 is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.100281 or -0.02?\nAnswer: 0.100281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*o - 5051 = -5056, f - 30 = 5*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -64987.3 * 0.01\nAnswer: -649.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1241*v**2 - 56*v + 172. What is the hundreds digit of z(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26\/5 of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849514 is divided by 224.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 89*a - 349. Determine z(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8043649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*6.43\nAnswer: -2.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 850*h + 3468*h - 1 + 1 - 1888*h to the form l + x*h and give x.\nAnswer: 2430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332554 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100000?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 322 (b) -51 (c) -0.05 (d) -0.1 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -556 - -603. Let u = -90 + r. Which is the second biggest value? (a) 5 (b) -6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, 5, 2\/7, 0.6, 1\/3, 1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20882556 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*q + 18 = 0, -3*q + 10 - 2 = c. Suppose 3*a + 764 = 779. Solve a*k = c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.086 and -123?\nAnswer: 122.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 1, s: 1, z: 1, n: 1}. What is prob of sequence fis?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + (sqrt(60) - sqrt(240)*-2) - sqrt(60))\/(1*sqrt(192)))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-88)\/14 + 0 + 16\/56. Let m(x) = -2*x - 8. Let s be m(l). Let j be 2 - (0 + (0 - 4)). Solve k + s*i - 15 = 0, -2*k + 3*i = 5*i - j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 168 = -s, r + 28454 - 28360 = 4*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 338*f**5 - 182*f.\nAnswer: 6760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-1))\/4 + -19. What is the units digit of (15\/c)\/((-1)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -86*m + 85*m + 27, 0 = 3*p + 49*m - 873 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -19*x**2 + 10*x + 15. Let d(c) be the first derivative of -41*c**3\/3 + 10*c**2 + 32*c + 230. Let q(v) = 13*a(v) - 6*d(v). What is q(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 27676*r. Let l(q) = 1819*q. Calculate l(a(y)).\nAnswer: 50342644*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 3887?\nAnswer: 50531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/5)\/((-6)\/(-105))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 2*v**2 - v - 2. Let k be n(-2). Let i be (k + -2)*5\/2. Let g = -0.7 - -3.7. Which is the second smallest value? (a) g (b) i (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*b + 31699996, -x - 5*b - 9384176 - 6465819 = 0. Round x to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 8)*(-2)\/(-2). Let u = -4 + h. Let l(c) = -c**3 - c**2. Let a(v) = v**3 + 2*v**2 + v. Let g(b) = u*a(b) + 2*l(b). What is k in g(k) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7218052234.\nAnswer: 2, 19, 23, 8258641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/2 + 3 + (6 - 8). Suppose 13*h = s*h - 12. Suppose 3*d + h*u = -0*u, 5*d - 20 = 5*u. Solve -f + 5*t - 4 - d = 0, -4*f = 2*t + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 618457, 618453, 618449, 618445, 618441?\n\"Answer: -4*t + 618461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 + 18. Let n(c) = -c**2. Give i(n(s)).\nAnswer: -5*s**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 6*o)*(-15*o - 134*o - 49*o) + 4*o**2 - o**2 - 4*o**2.\nAnswer: -1189*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lclc when four letters picked without replacement from cccqlcclq?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/(-4))\/7)\/((-1)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 28093471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, 3, -20 in ascending order.\nAnswer: -20, -17, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 6*p = 2*p - 41, -2*p - 18 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by -66.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -59452008 + 0.4?\nAnswer: -59452007.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -818*h**2 - 5*h + 4. Let s(q) = -1633*q**2 - 8*q + 6. Calculate -5*i(m) + 3*s(m).\nAnswer: -809*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1825121191159 - -386924904325149\/212. Let b = 3717935 + f. Let z = -9\/106 + b. Calculate the common denominator of 31\/2 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/4 - l**3\/2 - l**2. Let h be b(4). Is 8\/(-12)*h\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02701 rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 + 3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -1 + -4 + 0 + 252538 + -252472.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 3*h + 30, 107*c = 106*c + 2*h - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*54904.5\nAnswer: -164713.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 40\/(-25))*3\/6. What is the third smallest value in n, -2\/11, 4\/3, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 1585 + 247. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 3*n + 1. Let k be l(4). Suppose k*w - 54 = 26. What is the common denominator of 44 and w\/40 + (-277)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887*u + 1714*u + 275 = 852*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3421386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from xffxfffffxfffff.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 510\/34*(-5)\/15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 7. Let u be y(-5). Suppose 3*j = 5*j - 4*p + 12, 2*j + u*p + 5 = 0. Let w be -6 + 0 - 21\/(-7). Sort j, w, 2 in decreasing order.\nAnswer: 2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 9*g**2 + 10*g**2. Let w(v) = 13*v. What is k(w(h))?\nAnswer: 338*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, -1, 3 in descending order.\nAnswer: 3, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2\/13, 55, -2 in decreasing order.\nAnswer: 55, -2\/13, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/590382 and 107\/50310?\nAnswer: 126932130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1598*y**3 + 5*y**2 + 8*y + 9. Let d be k(-3). Let t = d - 30677. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 103 = -600. What is the tens digit of w + 869 - (-3 + 2 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607933 (base 13) in base 6?\nAnswer: 120040044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13 + 4*v + 22 - 44 + v**2 + 19. Does 25 divide i(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(81\/(-12))*30\/20?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -171 (b) 6 (c) 0.087 (d) -0.3 (e) 4 (f) -3 (g) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = -526499 + 526649 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -21*q - 178*q**2 + 266*q**2 - 1 - 91*q**2. Give g(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - (sqrt(192) + sqrt(192) + sqrt(192) + (-2*sqrt(192) + sqrt(192) - sqrt(192)) + sqrt(192) + sqrt(192))*3)*3)\/(sqrt(600)*-2*6))**2.\nAnswer: 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20648 + 42331 + 601*b - 17754 wrt b.\nAnswer: 601","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 6*w. Suppose l - 41 = -w*l - 4*k, 3*l + k - 68 = 0. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -315.6112?\nAnswer: 31.56112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5649859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 v when four letters picked without replacement from qqvqqqqvqqqqqqqqqq.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-11 + 3705\/338)*(-590)\/(-35) and -27\/221.\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*q = 3, -5*u - 3 = -2*u + q. Is -36*-1*(2 + u) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = 2. Suppose 0 = y*f + f. Suppose 129 = 3*g - f*g. Round g to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 2:16 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m**3 - 6*m**3 + 1 + 13*m**3 to t*m**3 + j*m**2 + c*m + u and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5445*x - 8 + 2244*x - 6091*x.\nAnswer: -9292*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 + 2926*d**4 - 278164*d**3 + 7611932*d**2 - 38476362*d + 54195606 = 0. What is d?\nAnswer: 3, 47, 1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407 - 253. Suppose -2*r = 4*s - j, 2*r + s = -23 + 165. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 3. Let a = 8 - 5. Suppose a*m = 5*m - 6. Let y(r) = r - 2. Determine m*y(x) + 2*v(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14611 is divided by 2431?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 21016188.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/(-18) + 26 - (-312)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o - 3*x = -16, 3*o = 3*x + 9. Let s be -9 - (6\/(-56)*2)\/(-13 - 9534\/(-732)). Which is the closest to s? (a) 1\/9 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777106 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 15 = -3*o. Let k(s) = -o + 2 + 3 - 1. Let i(h) = -h**3 + 5. Calculate -i(z) + 5*k(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818\/6*(0 + -4 + 7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194108648 by -1.\nAnswer: 194108648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 183.2. Let d = y - -177. Which is the closest to 0? (a) 5 (b) 6\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 763 - 720. Suppose z*k - 666 = 22812. What is the highest common factor of 42 and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 2*t, d - 27 + 7 = -5*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -41.54. Round y to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/330?\nAnswer: 13\/330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c**2*v**2*y + 1571*c**2*v**2 + 42*c**2*v - 2*c*v**2*y - c*v**2 + 2*c*v - 1052*c + 59*v*y + 12*y wrt c.\nAnswer: -20*v**2*y + 3142*v**2 + 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + -2.3. Let n be 4\/(-22) - 92\/(-253). What is the smallest value in j, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:38 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52, 103, 154, 205?\n\"Answer: 51*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -100, -394, -884, -1570, -2452, -3530, -4804?\n\"Answer: -98*t**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.4 (b) 2\/7 (c) 1\/6 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 2) + 0)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4 - 3 - 4*h + 7. Let w(a) = a**3 - 9*a**2 - 11*a + 4. Let n be w(10). Give o(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*o - 5*t, -11*o + 13*o = 5*t + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/193090936 and 85\/9378?\nAnswer: 1737818424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(1 + -6) + -2. Let s be 3 + j\/1 + 19. What is the second derivative of -s*r + 16*r**2 + 18*r - r**2 wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**4 + 4*x**2 + 4*x - 5. Let y(b) = b**4 - b**2 - b + 1. Let i(a) = k(a) + 4*y(a). Differentiate i(n) wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28295.3 + -28289.30000075. Let j = 9 + -15. Let k = j + i. Round k to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 6*y**2 + 5*y + 2. Calculate the remainder when i(6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 11*m + 11. Let o(v) = -2*v**2 - 6*v + 5. Give 11*o(i) - 6*u(i).\nAnswer: -4*i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -51. Let y = -0.3 + 0.1. Is y at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 2 - 2*v**4 - 4*v**3 + 0*v**3 + 3*v + 0*v**4 + v**2 in the form d*v + f + k*v**2 + a*v**3 + h*v**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.238 + -3?\nAnswer: -3.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 + 38*w**2 - 141)*(3 - 4 + 0) - 531*w + 2*w**2 - 4 + 531*w + (4*w**2 - 3*w**2 - 3*w**2)*(-4 + 2 + 1).\nAnswer: -34*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/280 - (-8190)\/30958200.\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**3\/6 - v**2\/2 - 2*v. Let p be (-3 - -2)*(-2)\/2. Let a be 1 - p - 9\/(-3). Calculate y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from vfffffffffff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:34 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9278, -18564, -27850, -37136?\n\"Answer: -9286*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 872181 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1594*z - 1503*z - 4641 = 0 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -76*q**3 + 76*q - 336. Let k(r) = 3*r**3 + r**2. Let x(v) = -f(v) - 24*k(v). Find b, given that x(b) = 0.\nAnswer: -4, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5700 and -86.38?\nAnswer: -492366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.821 + 0.381. Let f = a + 4.44. Is 112\/5 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {e: 1, r: 1, f: 2, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 6*y + 7. Suppose 1 + 5 = -c. What is the remainder when v(c) is divided by (82\/112 + (-71)\/(-568))\/((-3)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 1\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 558\/(-1209) + 33\/(-13). Which is the closest to g? (a) 4 (b) -7 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29557463 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/61915 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 + 34*p - 26. Determine l(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:29 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8140, 8142, 8144?\nAnswer: 8146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.2552064 milliseconds to days.\nAnswer: 0.000000037676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.0066 (b) 0.1 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.69721mg in nanograms?\nAnswer: 73697210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 + 5*l + 5. Let p be s(-2). Solve -7 = 4*m - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 + 0*b**2 + b**2)*(-597*b**2 + 1078*b - 1078*b) as v + s*b**4 + i*b + p*b**3 + h*b**2 and give s.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891, -976, -1115, -1308, -1555, -1856, -2211?\nAnswer: -2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175 divided by 2.\nAnswer: -175\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64071010 divided by 6\nAnswer: -32035505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 405, 407, 409, 411?\n\"Answer: 2*o + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -18*m**2. Let y(c) = 6012827*c**2. Calculate v(y(x)).\nAnswer: -650773593574722*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - q - 4 - 3. Calculate x(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1287\/(-91) + 204\/(180\/15)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39616063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 117\/26*1\/((-6)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k + 14*k = -57*k - 62 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 3. Let s be g(6). Suppose -3*a - 2 = -w, 3*w - 4 = 4*a - s. Let z be -1*1\/(-22)*-12. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l. Suppose l*b - b = -3. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/38 (b) -65 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 507049*s - 257098688401\/2.\nAnswer: -(s + 507049)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-306)\/81 + 5 + -4 - (-4)\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*l*y**3 - 11*l*y**2 + 17*l*y - 181*l - 11599*y**3 - 65*y - 5 wrt y.\nAnswer: 162*l*y - 22*l - 69594*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 12 + 18. Suppose -h*u = 13*b - 14*b, -2*u - 3*b = 0. Is 381 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 18098 + 9612 = 5*d, 2*d = -2*u + 11088. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*2\/20?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/7 + 1815630*r**2\/7 + 39250158972*r + 1804958515416.\nAnswer: 3*(r + 46)*(r + 302582)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*193*(-11)\/11. Let k = -84 - m. Suppose -10 = 3*s - k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1426*f**4 + 3 + 2*f**2 + 697*f**4 + 732*f**4 in the form v*f + c*f**2 + y + z*f**4 + h*f**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2508299220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*d - 9, 3*m + 9*d - 21 = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3506325, -3506324, -3506321, -3506316, -3506309?\nAnswer: -3506300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*v = 20, -5 = 2*w + 4*v - 21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.046, -4.3 in increasing order.\nAnswer: -4.3, -0.046, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 10:41 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 6*h - 6. Let z be g(6). Let f be 9\/z - (-9)\/2. Suppose -f*b + 20 + 13 = 0. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p + 285. Let n be p\/(-4)*104\/(-39). Let c = -36 - n. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110300033 (base 4) to base 16\nAnswer: -114c0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 242 * 0.5.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + 3*v + 5*v**2 + 0*v**4 - 2*v**4 - 8*v**2 to q*v + r*v**3 + u*v**2 + s + z*v**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -513.394 + 514. Let q = 0.5599 - p. Round q to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92762 is divided by 15207?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Suppose 25 - 3 = 2*j + s, 3*j + s - 32 = r. Factor 866 - 5*l**3 - 866 - j*l**4 - 5*l**5.\nAnswer: -5*l**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (249\/(-12))\/(2\/(-16)). Suppose -2*c = k - 160, -3*c + 5*c + 4*k = j. What is c rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -x + 9. Let a(o) = o + 76. Calculate the remainder when a(29) is divided by x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jttj when four letters picked without replacement from attjttttjtaataaat.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/7 - 34803*x**2\/7 + 14481576*x - 2512570800\/7.\nAnswer: 3*(x - 5788)**2*(x - 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/2 - (-6 + -1). Suppose -2*g = 1 - m. Solve -u + 4*r = 0, -g*u + 1 + 2 = -5*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*h + h**2 - 139*h + 279*h - 1 in the form g*h + j*h**2 + n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 8540203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from exxexxex?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 54. Suppose 3*a - a = c*k + 22, 0 = -k - 3*a - 2. Sort k, 1, -3, -1.\nAnswer: k, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - 165. Let o(i) = -23*i - 5. Let b be o(4). Let w = b - k. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvxvxxxxxvvvvvvvvvv?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0756803 rounded to 5 decimal places?\nAnswer: -0.07568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4, 3*q + 24 = 2*t - t. Suppose t*u = 2536 + 6158. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3796*r**2 + 26*r**3 - 7*r**3 + 3796*r**2.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -417 + 411.96. Let m = 0.16 - 0.2. Let j = m - i. Sort j, 0.07, 2\/3 in ascending order.\nAnswer: 0.07, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 12. Let x be o(20). What is the tens digit of (-8)\/x - (0 - 103\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2432, -2429, -2424, -2417, -2408, -2397, -2384?\n\"Answer: m**2 - 2433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 0*w**3 + 14*w**3.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (792\/(-57200)*-39)\/((-2)\/(10\/(-3)))?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/429? (a) 4 (b) 1.6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d + 2. Let j be -3*1\/(-2)*2. Let o be c(j). What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -2\/12562507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 27 = 7. Let u be (17 - q)*(-1)\/((-6)\/50). What is the tens digit of (-2 - u\/15) + (-80)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5 + 267*b**4 - 11595*b**3 + 162265*b**2 + 89997*b - 84132 = 0.\nAnswer: -1, 1\/2, 36, 41, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 595271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4296 and 370128?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55555 + -3?\nAnswer: 55552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 7:47 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(832) + 3 - ((0 + sqrt(832) + sqrt(832))**2 + -3 - sqrt(832)))*3.\nAnswer: -9966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/15990 and -79\/66092?\nAnswer: 991380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 2*v**2 - v - 2. Let h be j(-2). Suppose 2*m = m - 4*w + 293, -3*m - 3*w + 879 = h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Suppose 4*p - 80 = y*i, -5*p + p - i + 74 = 0. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65\/6 - -23\/2. Which is greater: q or -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuus when four letters picked without replacement from {u: 2, c: 3, b: 6, x: 5, s: 1}.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 384.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10785*b + 21390. Calculate w(-2).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/120 - y**2. Suppose 2*p - 4*p + 2 = 5*s, 0 = 4*p + 16. Let d(j) = -4*j**3 - 2*j**2 - 1. Determine s*a(b) - d(b).\nAnswer: 2*b**3 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 283944 * -82\nAnswer: -23283408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:26 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/6*18\/468.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odao when four letters picked without replacement from {d: 2, b: 1, m: 6, a: 5, l: 1, o: 5}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 50 = 4*j, 3*j = -5*k - 27 + 77. Solve 0 = 3*a - 4*z - 2, 4*z + k = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31293 and 0.5.\nAnswer: 15646.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*f + 46, -s + 3 = 2*f - 14. What is the remainder when (-22)\/(-6)*(2 - -1) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**4\/3 - 3*m - 2. Let x(a) be the first derivative of z(a). Let t(l) = 2*l. Determine x(t(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19940 (b) 1019 (c) -1 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*a**2)*(120 - 6 + 10).\nAnswer: -248*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.5. Let w = -3879 + 15517\/4. Which is the third biggest value? (a) 31 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238438435943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 596 + -600. Put -10, 5, i in descending order.\nAnswer: 5, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 6934 + 6934)*(-10 - 7 + 11).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2317 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 62375580 divided by 102930\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/9396 - 214417\/234900. Find the common denominator of 4\/105 and o.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1833? (a) -8\/133 (b) 0.1 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338213862, 676427725, 1014641588, 1352855451, 1691069314?\nAnswer: 2029283177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f**2 - 3*f. Let b(c) = 3*c**2 - 2*c**2 + 13534 - 13534. Calculate b(q(z)).\nAnswer: 121*z**4 + 66*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1643 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 28. Solve -1 = -i*v + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237820036 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 185 = 81. Let v(z) = z**2 - 12*z + 10. Let x be v(7). Let q = 43 + x. Calculate the smallest common multiple of q and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 10 = 6*g + 3*d, d - 6 = g. Let m = 124\/5 + -1602\/65. Sort g, 1, m.\nAnswer: g, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 6*l. Let m(k) = -2*k + k - 2*k**2 - 3*k**2. Let j be m(1). Let x be y(j). Is 0.2 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:25 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5333427um to meters.\nAnswer: 0.0000005333427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y + 24*y - 2*g + 221, -4*g - 197 = -3*y. What is the lowest common multiple of y and 10?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 486, 973, 1460, 1947, 2434, 2921?\n\"Answer: 487*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -319748232?\nAnswer: 319748232.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + u**2 - 3*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Let h = v + -4.9. What is the nearest to 1 in 2\/23, -0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 39*h = -123*h - 327 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/21)\/((-3930)\/4585)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000272989 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 687217.\nAnswer: -2\/687217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/6840 and 101\/324900.\nAnswer: 649800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*n - 66*n + 221 - 86 as q*n + w and give w.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.11, -6, 0.3, 1\/7 in ascending order.\nAnswer: -6, -5, -0.11, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.1 times -0.1?\nAnswer: -5.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1373152*c**2*i*v**3 - 41*c**2*i - c**2*v**2 + 3*c*i*v**2 + 2*c*i + 24*c - 16*i*v + 13*v wrt v?\nAnswer: -8238912*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30975366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3163*k**2 + 3163*k**2 - 1255*k**3)*(12*k + 23*k + 5*k - 2).\nAnswer: -50200*k**4 + 2510*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = 4*a + 108 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10388.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55150648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -54*c - 12. Let s be o(10). Let y = -1069\/2 - s. Calculate the common denominator of (-43)\/16 + 3 + (-8)\/(-4) and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 103\/100)\/(83\/((-10624)\/(-240)))\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k - 236 + 208 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -31 - 1. Suppose 0 = -u - l + 1, -4*u + z*l + 9 = 3*l. What is the third derivative of -16*d**2 - 15*d**6 + 43*d**u - 2*d**2 + 11*d**2 wrt d?\nAnswer: -1800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265823?\nAnswer: 3, 13, 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15503209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzdd when four letters picked without replacement from {n: 1, d: 4, c: 4, z: 7, u: 4}?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410880685 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 80380.56ml in litres?\nAnswer: 80.38056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -113, -59, 139, 529, 1159, 2077, 3331?\nAnswer: 4969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*g + 2*y, 5*y + 15 = 2*g - 10. Which is bigger: g or 188\/201?\nAnswer: 188\/201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14647 (base 9) to base 4\nAnswer: 2130112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 + 121.21. Let h = -120.99795 + o. What is h rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4396 by -611.\nAnswer: -4396\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**3 - 81*g**2 + 247*g - 82. Is w(-45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 873459 = -39*x. List the prime factors of x.\nAnswer: 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*w = -8, 1026*p = 1046*p + w - 101 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 14*g. Let r(t) = -t**2. What is u(r(m))?\nAnswer: 4*m**4 + 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124*x**2 + 550?\nAnswer: -248*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52302 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423 and 118346.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*n**4 + 1733*n**3 - 10996*n**2 + 23412*n - 1008 = 0. Calculate n.\nAnswer: 4\/91, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -42. Let r(g) = -g**2 - g - 4. Let t be r(0). Let l(f) = 2*f + 6. Let i be l(t). Do i and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 2. Let o(f) = -1 + r + 6 + f. What is the units digit of o(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(5))\/sqrt(11) - (sqrt(2) - (sqrt(2) + 0)**2*6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 2. Let m be p(8). Let q = 19 + m. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3106371 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130 + 171266?\nAnswer: 171406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84650, 84571, 84508, 84467, 84454?\nAnswer: 84475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(19) + sqrt(19)*-3 + sqrt(19)) - (sqrt(95) + (sqrt(95)*2 + sqrt(95))*4)\/sqrt(5).\nAnswer: -11*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1\/3 in ascending order.\nAnswer: -1\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/15 - 2\/(-10). Suppose w = -5*p + p. Solve -4*u = 4 - p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963 greater than 2963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 124525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7212.\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 10:14 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -213, -402, -581, -756, -933?\n\"Answer: -z**3 + 11*z**2 - 215*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(2*s - 4*s + 0*s) + 0*s + 0*s - 4*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 8 (b) -8 (c) 3 (d) -0.5 (e) -0.9 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4\/7 (c) -3\/4 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 40\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 36 = 3*j - 18*i, -2*j = 5*i - 21 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22 = -2*r, -4*h + h = 5*r - 57. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -77, -13.86, -1.3?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:41 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 5*a + 2, 2*i - a - 12 = 0. Let s = 34 + i. What is the remainder when s is divided by (0 - 2\/(-1))*7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5) + 359\/1020. Let v be (95\/(-30) - -4)*(-6)\/(-340). Let t = v + r. Which is the nearest to 0.1? (a) 4 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/10956 and -31\/436548.\nAnswer: 398568324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {p: 1, n: 5, e: 4, u: 5, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let h(q) = 2*q - 17*q + 3 + 1 + 0. Let n(g) = -31*g + 9. Let d(b) = -7*h(b) + 3*n(b). Give 2*d(u) + 22*w(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.016795 + -1.0154\nAnswer: -1.032195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 407 and 111?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 2*u**2 - 11*u + 11. Let g be d(5). Let o = 1651 - 3241\/2. Let k = g - o. Which is smaller: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nun when three letters picked without replacement from {n: 11, u: 5}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -53*u**2 + 21*u**2 - 21 + 24 + 33*u**2 - 10*u. Determine b(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 26*y + 96. Let m be (1020\/(-12))\/(-5) + 0 + -1. Let v be g(m). Solve p - 2*k - 1 = v, -k = -0*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3850 + -9)*2*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - 2*t**5 + 6*t**5 + (t**4 - 2 + 2)*(1 + 2*t - 1).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 + 26. Let j = 145 + u. Put -2, j, 4 in descending order.\nAnswer: 4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.107 - 10226.\nAnswer: -10223.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -3, -33 in increasing order.\nAnswer: -33, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 39 + 0 + 21 - h.\nAnswer: -2*h + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7569 divided by 5?\nAnswer: -7569\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1262, -1258, -1252, -1244, -1234?\nAnswer: -1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 6:36 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 20 = 4*s, 15 = -3*o + 261*s - 263*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/58, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2501977*j**2 + 83*j - 154. Let t be z(40). Let b be 2\/14 + t\/238. Round b to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 - 7*x**4 + 10*x**4 - x + 0*x**4 to v*x**4 + p*x + c + a*x**2 + z*x**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13c042 (base 13) in base 9?\nAnswer: -816074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97596, -195191, -292786, -390381, -487976?\nAnswer: -585571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4049\nAnswer: 4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 + 1 - (-6)\/3. Let q be ((-12)\/10)\/((-6)\/165). Let s = q - k. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n. Let h(i) = 9*i - 2*i - 2*i - 12*i. Give t(h(o)).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 3 (c) 28 (d) -1\/2 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, -0.12, 1\/6, 1\/134 in decreasing order.\nAnswer: 0.5, 0.3, 1\/6, 1\/134, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33.5 and 106.\nAnswer: -3551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h\/(h*h\/(h**(2\/7)\/h))))\/h))\/(h*h*h**(-1\/19)))\/(h*((((h**(-2)\/h*h)\/h)\/h)\/h)\/h*h**(-3\/11)) assuming h is positive.\nAnswer: h**(3820\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 4*q**2 - q - 3. Calculate x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f - 2. Let j = 6 + -1. Let v(x) = -6*x + 2. What is j*p(m) + 4*v(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*d**2 + 7*d**2 + 93*d**2.\nAnswer: 187*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16977, 33951, 50925, 67899, 84873, 101847?\nAnswer: 118821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -101020?\nAnswer: 101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -961 - -959. Let l be -5 - ((1 - 1) + -1). What is the second biggest value in l, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-826)*-163 - (6270\/(-665) - -9)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2\/5 + 32*w\/5 = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-8)\/(-10))\/2)\/1. Let b = 71\/35 + -13\/5. Let g = -0.566 + 0.266. Sort b, w, g.\nAnswer: b, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 720 = -14*u. Let r = -14 + 55. Calculate the remainder when r is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -24*k + 3. Let n be j(-3). Let c = 35 - -15. What is the greatest common factor of c and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Suppose 2*x - 2*t = -3 + 17, -x - d*t = -27. Let c = 2 + 2. Solve -c*h - x = 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1238 - -0.2238. Which is the closest to o? (a) -0.2 (b) 5\/2 (c) -0.3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = 3*d - 34*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10e2 - 1?\nAnswer: -10e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2 + 15920*x + 127232 = 0.\nAnswer: -7952, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -2*y**5 - 3*y - 5\/6*y**6 + 50\/3*y**3 + 0 + 145\/12*y**4 - 30*y**2. Suppose v(c) = 0. Calculate c.\nAnswer: -3, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803473476?\nAnswer: 2, 3, 13, 311, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.058 from -13201789249.\nAnswer: -13201789248.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j + 3. Let x = 1 + j. Suppose -x*f + 4 = 0, 0 = 5*a + 3*f + 3 - 1. Let c(b) = 5*b. Give c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 68. Let q = 45 + w. What is the remainder when q is divided by (-166)\/(-7) - 2\/(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1605 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/5 + 1 - (-20)\/150)*159603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - -1) + (-162)\/36.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122468 and 34?\nAnswer: 122468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87786830 to the nearest integer?\nAnswer: 9369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 8 + 15 - 12. Let i be n(4). Solve 3*o - 14 = -3*p + 10, -5*p = -i*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = 27. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 19*q + 110\/3.\nAnswer: (q - 55)*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 + (-4 - 65\/(-10)). Let y(h) = -h**3 + 3*h**2 + 3*h + 2. Calculate the smallest common multiple of 7 and y(w).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 7*k**3 + 2*k**3)*((-4 + 1 + 6)*(5 - 5 - 5*k) - k - 11*k - 4*k) + (2*k**3 + 2*k**3 - 2*k**3)*(k + 0*k - 3*k) + 6*k**4 - 4*k**4 - 3*k**4.\nAnswer: 88*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c**2 + 5*c**2 + 0*c**2 + 2*c**2. Let p(a) = 13*a. Determine p(l(w)).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/13 and -4\/65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 11. What is the tens digit of (z\/(-5))\/(7\/(-35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12725 + -4?\nAnswer: -12731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12612*r**2 + 12*r + 4. Let a be f(7). What is a rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -23) + -2 + 4 - (126 + -76 - 51)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 4*d**2 + d + 14. Let q be s(-3). Find the second derivative of 40*w**q - 3*w + 33*w + 43*w**2 wrt w.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*u - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k - 7116826 = -43*k + 756074. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1\/2*t**2 + 0 + 1\/4*t**4 + 3*t - 2\/3*t**3. Is l(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by -6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 219.319ml?\nAnswer: 0.219319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/197, -0.4, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 330?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 + 214.0774. Let n = 0.0674 - m. Let u = -3 + 4. Is u greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 6*i**2 - i + 4. Let z be b(5). Let q be (-1)\/3 + z\/(-6). Suppose 0*o = -5*o + 10. Solve 0 = -3*j + q + o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*a**3 + 235*a**2 + 320*a + 60.\nAnswer: 5*(a + 2)*(a + 3)*(9*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/12 - 7*t**3\/6 + t**2 + 4*t - 14. Let j = -20 + 33. Calculate the remainder when h(12) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56655?\nAnswer: 3, 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 divided by 393?\nAnswer: 1192\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -4839.\nAnswer: -4838.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 12 - 2, -2*d - 10*d + 69 + 17 = -5*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*i)*(8*i - 2*i + 11*i) + (-3 + 3 - 3*i)*(2 - 2 + 3*i).\nAnswer: -43*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 268758.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -363eea - 9?\nAnswer: -363ef3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4286667.\nAnswer: 3, 7, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -1)*-8*(-45)\/108. Calculate the highest common divisor of h and 1030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 4008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23535 - -3447?\nAnswer: -20099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56744905193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001442 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2102 and 1226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -15*d - 18, 0 = 2*c - 6*d - 2159 + 2141 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from kkkkkxkkvxkvkvcxc.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 456, 459, 446, 411, 348, 251, 114, -69?\n\"Answer: -j**3 - 2*j**2 + 16*j + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -1\/2 (c) -3 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13219157 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(475) - sqrt(19)) + 5)**2.\nAnswer: 40*sqrt(19) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86452 is divided by 4543.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1459.63697 rounded to one dp?\nAnswer: -1459.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from cmcgtncotntttgmtgg.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7275806 + -7275845.000005. Let d = 39 + l. What is d rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {s: 2, n: 2, o: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/11)\/(1\/2). Suppose -4*t = -9*t - 5, 0 = 4*u + c*t + 6. Let b(v) = -v**2 + v. Let k(s) = 2*s**3 - s. Give u*b(w) - k(w).\nAnswer: -2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*-22.23\nAnswer: 40.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1123?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + -33. Let i be (3\/4)\/(6\/t). Let d(g) = -g**2 - 11*g + 10. Is d(i) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.59? (a) -0.5 (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1602793 - -9.\nAnswer: -1602784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4623 and 67804?\nAnswer: 203412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*o + 1. Solve 0 = -m + 5*m - o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*-10 + -2. Is y\/4*4 + 21 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139473\/5 > 27894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/4)\/1)\/(7*(-7)\/441)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 17238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v**2 + 32*v + 12. Let l(j) = -17*j**2 - 63*j - 26. Calculate -13*h(i) - 6*l(i).\nAnswer: -2*i**2 - 38*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 98538237 divided by -3\nAnswer: -32846079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-391) - 4\/102)\/(42\/(-3717))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*36\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 190872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 + 25*d - 53. Let a(r) = 9*r**2 + 74*r - 159. Suppose -6*i + 4*i + 8 = 0. Let x(g) = i*a(g) - 11*n(g). Differentiate x(v) wrt v.\nAnswer: 6*v + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 - 5*y. Give u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 7984789914286?\nAnswer: 7984789914286.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 2*w**2 - 6*w + 11. Let f be n(2). Is -1\/165 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 16751993.\nAnswer: 1675199.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -102\/19, 0, 0.7 in ascending order.\nAnswer: -102\/19, -2\/17, 0, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142055.1 and -1.4?\nAnswer: -198877.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 41057316.\nAnswer: -41057318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -34001*z - 3. Let w be n(-3). Suppose 8*p - 15 = 3*p. Suppose -p*b + w = -b. What is b rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiip when four letters picked without replacement from ppppipipqiipww.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 2202?\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4*y + 72 = 0. Let a = -17 + y. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66819510?\nAnswer: 2, 3, 5, 742439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1144 + (1 - -2)\/(-1). Let c = r - 533. Does 10 divide c\/24 - 2\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*j + 1, -n + 4*j - 6*j = 0. Let c(d) = -63*d - 10. List the prime factors of c(n).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3336\/297 - (-66)\/297. Which is smaller: 11 or p?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-231)*-102)\/10 - 14\/35?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 + 101?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 21*p**2 + 15856*p - 291432. Determine h(-773).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/(-8)*92\/(-230).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 14940 in descending order.\nAnswer: 14940, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**10\/2520 - a**7\/840 + a**4\/6 - a. Let z(w) be the third derivative of h(w). Find the third derivative of z(b) wrt b.\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 25. Let i be (178 + 0)*(-4)\/(-8). Suppose h - 18 = 3*s, -2*h = -6*h - m*s + i. Solve 4*v - 31 = -3*f, 0 = -2*v - 2*v - f + h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 15*f**2 + f + 2. Let g be w(-2). Suppose 0 = 3*s - 2*u - 79, -7*u = -5*s - 3*u + 131. Calculate the least common multiple of (9\/(s\/g))\/2 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 254*d + 124. Let v be l(4). Calculate the greatest common divisor of 1080 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 42274881200 to the nearest one million.\nAnswer: 42275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2. Let h(u) = -5*u - 6. Let w(x) = 15*x + 16. Let p(g) = 8*h(g) + 3*w(g). What is p(k(m))?\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11846 (b) -1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 = -19. Let z be 5\/(-10)*-2*-2. Let f = 13 - z. What is the remainder when f is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950780.\nAnswer: 2, 3, 5, 13, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 8) to base 10\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*k**2 + k**3 - 2 - 290*k**2 + 3*k + 149*k**2 in the form f*k**2 + d*k + n + m*k**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/10 - p**4\/3 - p**2\/2 - 158*p. Calculate h(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*i*k*v**3 + i*k - i*v**3 + 10*i*v**2 - i - 2*k*v**3 + 16*k*v - 5*k + 5*v**3 wrt v.\nAnswer: 486*i*k - 6*i - 12*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -278, -4, 4 in decreasing order.\nAnswer: 4, 3, -4, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 650794437 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*v - 9 = -0*v, 9 = -5*n - 3*v. Let q be -1*(-1 - (-6 - n)). What is the nearest to -0.2 in 0.1, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 + -5.7. What is the nearest to 0.1 in 2, 2\/7, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from coloccolooocllccoc. Give prob of picking 3 o and 1 l.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9575255ml?\nAnswer: 0.0009575255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - c**3 + 1)*(-3*c + 4*c + c) + (4*c**3 - 4*c**3 - c**3)*(c + 4*c + 10*c) - 3 + 6*c**4 + 3.\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -47 + (-1 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5299391125 - 222.\nAnswer: 5299390903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z - 124. Let y be (9 + -29)*(-18)\/48*(-8)\/5. Calculate p(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2 - 15*n + 144. Let f be z(4). Solve 11 = f*x + 3*b, -5 = -x - 2*b - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -98*s - 4*s + 47*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145696770 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 326 - 306. Calculate the remainder when j is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/54239 + -108492\/379673. Which is the nearest to -20? (a) w (b) -6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 2*a**6\/27 - 44*a**5\/45 - 5*a**4 + 84*a**3 - 2354. Factor f(j).\nAnswer: 4*j**2*(j - 9)**2*(j + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 1. Let s be z(-1). Let k = -10 - -14. Let g = s + k. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 13*x**2 - 20*x - 30. Calculate the remainder when a(-12) is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 + -1.6. Which is the third smallest value? (a) t (b) -4\/3 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2912, -2925, -2940, -2957, -2976?\nAnswer: -2997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 2)*464\/20. Let u be (i\/3)\/(-4) + (-8)\/12. What is the greatest common divisor of u and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 96 = 4*r, -3*r + 29 = -5*m - 41. Let b be (12*r)\/((-3)\/(-170)). Suppose -2*k + b = -k. Round k to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, -161, 2\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 - 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2756825 is divided by 66?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 19. Let u be t(-11). Which is the biggest value? (a) u (b) 4 (c) 0 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + -30. Let g = 120 - 11. Let p = g + t. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 585 and 9.\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**9\/b)**(2\/31))**41)**(-2\/59))**42 assuming b is positive.\nAnswer: b**(-55104\/1829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 10533, -1.\nAnswer: -17, -1, 10533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(7 - -1))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-3) - (-2)\/(-3). Let r = 0 - -36. Let x = -33 + r. Solve -5*f + 10 = -0*f, x*v = a*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22976*y**3 + 13801*y**3 + 9133*y**3.\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = -4*r + 50, r + 4*j = 18. Suppose 2*u + 4*y + 8 = 0, -6*u - 20 = -r*u + 4*y. Solve 7*f - u*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211013.\nAnswer: 11, 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 5, -4\/5, -737, 0.1, -37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6202 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**4 + 3*d**4 + 17*d**4)*(31 - 7 + 24) to the form k + s*d + y*d**2 + c*d**3 + g*d**4 and give g.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402118 is divided by 2099.\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 at least as big as 11750\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or -6?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8451272 + -3.846. What is s rounded to five dps?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1471, -1795, -2459, -3469, -4831?\nAnswer: -6551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6836229, 13672621, 20509013?\nAnswer: 27345405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o - 3*g + 1, o = -3*g + 5. Suppose -4*j - q = 0, 12 = -o*q - q. Let w be (0 + 1)*(1 + 2). Which is the nearest to -1? (a) 0.5 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 14.253, 0.03, 10?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*v - 88*v - 137*v - 86*v.\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502769 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6564*g**2*j - 2*g**2 - g*j + 183*g + j + 22 wrt g.\nAnswer: -13128*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.556008+-734\nAnswer: -733.443992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p. Let v(d) = 53*d - 6 + 6 - 44*d. Calculate v(h(u)).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -321?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 72 = k. Find the second derivative of -10*x + 9*x**3 + k*x + 12*x wrt x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:15 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2690\/40)\/(3\/(-492)). Let x = t - -16369. What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/5 - 9224*n**3\/5 + 4265156*n**2 - 254582832*n\/5 = 0. What is n?\nAnswer: 0, 12, 4606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*k + 46. Suppose 2*d = -0*d + 10. Calculate the remainder when k is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 424, -76, 68.\nAnswer: -76, 68, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 30*j**2 - 2*j + 37. Determine y(30).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -1\/4 (b) -98 (c) 2\/13 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z - 7. Suppose s - 31 = 11*a - 16*a, 2*s = 5*a - 13. Let k(w) = 28*w - 14. Let v(c) = s*k(c) - 13*h(c). Give v(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9708 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 98 = -3*j, 2*j - 2*r = -63 - 19. Let w be 1\/(-4) + (-54261)\/j. Let x = -21085\/14 + w. Calculate the common denominator of x and -37\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:40 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -3*u**3 - 18. Let f(s) = -19*s**2. Give n(f(g)).\nAnswer: -3249*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/4, 4, -86, 0.21, -1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 + 11*c**2 + 11*c - 9. Let o(h) = h**3 - 2*h**2 - 2*h + 2. Determine -2*d(i) - 11*o(i).\nAnswer: -i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003436343996 rounded to six decimal places?\nAnswer: -0.000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5\/3)*x)\/x)\/(x\/(x**(1\/4)*x*x)*x))\/((x\/(x**(-2\/11)\/x))\/(x*x**(-1\/10)*x)) assuming x is positive.\nAnswer: x**(-1121\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -19\/82 (b) -238 (c) -6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(396\/(-168))*(-33)\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/7 - 23*m\/7 - 3408\/7.\nAnswer: (m - 71)*(m + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 70*c**3 - c**2 + 70*c.\nAnswer: c*(c - 70)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 3*t**2 - 12*t**2)*(3*t + t - 3*t)*(4*t**2 - 3*t**2 - 3*t**2).\nAnswer: 30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2*z = -4777 + 4735, -5*s = -7*z + 102 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*0\/6*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8803*-0.7\nAnswer: -6162.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (11 - (-28 - -19)) + 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3709.145 millennia to decades.\nAnswer: 370914.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - a + 58 - 4 + 29. List the prime factors of d(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.152421cm in micrometers?\nAnswer: 31524.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 - 2*m**2 + 6*m**2 - 2441*m + 2441*m.\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/1*(-6)\/4. Let p(l) = -t*l - 3*l - 5 + 5*l. List the prime factors of p(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118049792 a multiple of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/5 - 2*u**2\/5 + 2*u\/5 + 2\/5 = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*b = 482*b + 20, 0 = 2*i + 4*b - 20. Solve 29*h + 16*h + 225 = i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 688 in 2\/15, 3\/5, -0.1, -3\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/4 + 19*o**3\/4 - 117*o**2\/4 + 81*o\/4 + 54.\nAnswer: (o - 3)**2*(o + 1)*(o + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + -0.11. Let f = -0.2 - z. Suppose -q = 2*v + 10, 2*q + 3*q - 5 = v. Do f and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g**2 - 30*g - 42. Give a(-6).\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/3*(142\/(-68) - (-14)\/7)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -3, -69, -5 in ascending order.\nAnswer: -69, -8, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 11 = -3*w, -4*w = -2*l - 2*l + 12. Suppose -w*j + 4 = -0*j. Solve -c = -3*u + 1, -c - 2*u - 3 = j*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27225 divided by -45?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/3)\/(410\/(-615))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2545 - 1425?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 4044*h**2 - 1024140*h + 1020100.\nAnswer: -4*(h - 505)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etet when four letters picked without replacement from {t: 1, e: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 34 = 3*j, 0 = 10*k - 8*k + j + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1135)\/(-15))\/((-19 - -40)\/63). Solve 242*u - a*u = -75 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1455 and 510?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/12 - 13*l**2\/6 - 199*l\/12 + 56\/3.\nAnswer: (l - 32)*(l - 1)*(l + 7)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1055)\/(-4) - (-5)\/20. Suppose 65 = -t - 40. Let w = x + t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.16174 and -4.\nAnswer: -4.16174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p + 4*p - 28 + 28 to the form d*p + g and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -29. Let b = d - 7.8. What is the third smallest value in -5, b, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27435624 and 870?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/((-7)\/28*-12)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 17\/((0 - -2) + -1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -35, 52, 173, 328, 517?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42575.89817 rounded to the nearest 10?\nAnswer: 42580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982325.\nAnswer: 5, 39293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730106?\nAnswer: 2, 13, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let m = 1.274 - 1.474. What is the nearest to m in -0.47, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - ((-4*sqrt(171)*-6 + sqrt(171) - sqrt(171)) + sqrt(171)))\/sqrt(9)*1.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*l + 2 - l - 27*l)*(-2*l + 5*l - 4*l)*(2*l - 4*l - l) + 3*l**3 + l**3 - 2*l**3 to n*l + p*l**3 + j*l**2 + z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -36*o + 96. Let w be a(2). Let b be (-3)\/(-5 + 26) - (-211)\/7. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156640885 to the nearest integer?\nAnswer: 12516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20737629 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.29 - -14.71. Let w = -15 + x. What is the closest to 2 in w, -3\/5, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2581 - -1696. What are the prime factors of 12*(-7)\/(140\/k)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2 + 3*y**3 + 3*y**2 + y**3 - 5*y**3 + 2*y. Let o be s(3). Solve p + 3*p - o = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 42 + 60. Let g be (45\/10*1)\/f. Factor 3\/4 - 3\/4*s**3 + g*s - 3\/4*s**2.\nAnswer: -3*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/26)\/(2 + -3). Let d = -133 - -138. What is the third biggest value in -2, d, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 3*z - 3. Let y be f(1). Solve 0*g + 2*x = g + 3, -y*g + 5*x = 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 17592535*l**2 - 15475066698480*l - 355917227674860.\nAnswer: -5*(l + 23)*(l + 1759242)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 + 98375*q\/6 + 98377\/3.\nAnswer: -(q - 98377)*(q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2788 and -63\/15334?\nAnswer: 30668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821871.\nAnswer: 3, 53, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Suppose 3*v + 21 = -4*l + 118, -t*v - 101 = -5*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -31986.\nAnswer: -31986.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*t - 4 + 3 as k*t + w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 27.7. Let k = 7.69999894 - g. Round k to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*m - 55, c + 3*m - 55 = 5*m. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*m - 2 = 0. Let t be 20\/6 - m\/3. Suppose 3*v + a = 7 + 1, -24 = -4*v - 4*a. Solve -t*g + c = -4*c + 13, -4*g = -3*c - v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 + 10.84?\nAnswer: 11.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 14 = 5*b - 5, -4*c - 5*b + 16 = 0. Is -2\/3235 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 6. Let a(w) = -11*w - 13. Let f(d) = -3*d - 51. Suppose 3*p + 3*o + 60 = 0, 4*p + 15 = -5*o - 70. Let q be f(p). Determine q*a(l) - 13*u(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -675*g - 1357*g - 1356*g in the form o*g + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/9 + 356*j**3\/3 - 31142*j**2\/9 + 62120*j\/3 + 56200 = 0. What is j?\nAnswer: -562, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -11, -227 in decreasing order.\nAnswer: 5, -0.2, -11, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -c + 4*c - 29, -3*j + 43 = 5*c. Suppose 14*g = j*g - 1536. Suppose 4*o - 7*y - g = -9*y, 4*o - 3*y = 778. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 180743?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4868380 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1498*p = -415*p - 53564 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 227*d**2 + 137 + 5*d**3 - 492 + 829*d - 352*d**2 + 11*d - 365 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383536 to the power of 1\/2, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-1) + 990\/90. Let x(g) = -2*g**2 + 3*g + 5. Let f(d) = d**2 - 2*d - 3. What is q*x(y) + 10*f(y)?\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -11, -29 in ascending order.\nAnswer: -29, -11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193.8483 - -194. Let q = y + -0.0437. Round q to three dps.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 8\/5523 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.57.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 8:10 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -14. Suppose -4 = m, -2*g + 0*m = -m - 44. Suppose -3*w - 35 + 16 = 4*x, -5*x = 3*w + g. Sort 5, w, o in descending order.\nAnswer: 5, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 14, -1, -32, -85, -166, -281, -436?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 935*q**4\/2 + 69175*q**3\/4 - 307235*q**2\/4 + 615*q = 0.\nAnswer: -41, 0, 3\/374, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1031248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 2. Suppose 0 = 550*v - 540*v. Suppose -4*n = q + 6, 5 = -q - 3*n - v. What is p(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 841.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -195, -293, -393, -495, -599?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2 = 3*s, 9541 = -4*z + s + 9530 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) -0.41949 (c) 171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -1. Let b(o) = -o**2 + o - 1. Let w(y) be the first derivative of y**3 - 5*y**2\/2 + 3*y - 422. What is v*b(g) + w(g)?\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -453 + 432. Let a(b) = -2*b + 136. What is the lowest common multiple of a(z) and 12?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 2. Calculate the least common multiple of 18 and a(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 3*r - 3. Let b be m(-2). Let p(f) be the third derivative of -5*f**4\/24 - 17*f**2. Let w(t) = 16*t + 1. Give b*p(a) + 2*w(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11101100011001000000?\nAnswer: 11101100011001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59237, -118604, -178237, -238268, -298829?\n\"Answer: -22*q**3 - q**2 - 59210*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(60)\/sqrt(4))\/sqrt(3).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 862*(-3 + 0 - 0). Let b = h + 518. Is (b\/(-6))\/(30\/45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j**2 - 174*j. Let h(o) = 22*o**2 + 693*o. Calculate -2*h(l) - 9*x(l).\nAnswer: l**2 + 180*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*g - 18694, g - 5902 - 9055 = -4*o. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*v + 60*v = -1859 - 1409 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 31 = -d + 28, 4*h - 3*d - 32 = 0. Suppose -407 = -h*c + 132. Calculate the remainder when c is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 78*l + 107. Let m be d(11). What is the highest common divisor of m and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*s - 3*s = 6, 2*u - 4 = -4*s. Let r(i) = -5*i**3 + 7*i. Let z(t) = -2*t**3 + 2*t. Calculate u*r(d) + 7*z(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2450) - sqrt(2450)*-4)\/sqrt(10))**2 + sqrt(35)\/(sqrt(7) - (sqrt(28) - -4*sqrt(28))).\nAnswer: -sqrt(5)\/9 + 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.2117953 to 2 decimal places.\nAnswer: -114.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*p**2 + 140*p**2 - 272*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*z = -9, -y + 0*y + 5*z = -15. Suppose 2*q - y*n + 14 = 0, -2*n = -2*q + 4*q - 14. Solve 0 = 2*c - 3*d - 3, 4*d + q = 3*c + d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 8:11 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179227302.\nAnswer: 2, 3, 163, 183259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -1. Let d = 21.87 + -22. Let l = d - 3.87. What is the second biggest value in l, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253889579.\nAnswer: 253889579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (12 - -3 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 75?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from -971.\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15443026 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y + t - 2, -4*y - 5*t - 14 = 0. Let h be (-1)\/((12\/8 + y)\/(-302)). Let c = -227 + h. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 522, 779, 1046, 1329, 1634, 1967?\n\"Answer: a**3 - a**2 + 253*a + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(770\/28*(-31)\/(-930))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -6*k - 7. Sort -2, k, 2 in descending order.\nAnswer: 2, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -170 and 0.3.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0821 - 0.5\nAnswer: -0.4179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1085 and 4970?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - j - 2)*(2*j**3 - j**3 + j**3) + 2*j**4 + 0*j**4 - 6*j**4.\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-56) - (-78)\/14. Solve g*y - 2*y = -5*u + 45, 2*y - 15 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Round 0.015585206 to 4 decimal places.\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*z - 4 - 0, -z = y - 1. Find the common denominator of (0 + (-255)\/(-6))*y and (56\/32)\/((39\/20)\/13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 76*x**3 + 280*x**2 + 272*x.\nAnswer: 2*x*(x + 2)**2*(x + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*v**2 - 111*v**2 - 9*v - v to k + m*v + n*v**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-347*h**2 - 293*h**2 + 584*h**2)*(0*h + 0*h - h) to the form s + w*h**3 + x*h + n*h**2 and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 14. Let w be a(-12). Suppose y = -3*v + 5, -w*y - 3*v - 2 + 9 = 0. Find the first derivative of 4*k**y - 9*k**2 - 7 - 11 wrt k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -6 - -11) + (-43 - 11 - -8)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u - m - 22939, 2*m - 2 = 0. Let n = -34325\/6 + u. Find the common denominator of n and 63\/(-10) + (-2)\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994352656 to the power of 1\/2, to the nearest integer?\nAnswer: 44658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 + 1 + 133*n - 30435*n**2 + 30435*n**2)*(1 - 6 + 4).\nAnswer: -5*n**3 - 133*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12040072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -372 in decreasing order.\nAnswer: 2, -5, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/26 and 71\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-8)\/20*105\/(-9))\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652 is divided by 168?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = -1. Suppose -3*a - 3*b = 27, -4*b - 3 = -3*a - 2. Let r = o - a. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -65 (c) -0.0441\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 740248 (base 11) to base 7\nAnswer: 13040232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-78)\/27 + 3). Let k = -4.8 - -7. Let q = -2 + k. Which is the closest to 1? (a) i (b) -1\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 98 = -2*b + 204 - 100, -3*o - 15 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*d - 216, 0 = -4*d + 20 - 4. Suppose -16*h + 15*h - 6 = -2*y, -5*h = 4*y - x. Solve f + y = -0*s - s, -3*f - 4*s = 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 7 + 4*f**2 - f**2 - 1133*f + 1133*f. Let g(r) = 3. Suppose n = 6 - 3. Let s(q) = n*l(q) + 7*g(q). Let d(y) = -3*y. Determine s(d(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000951758 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -187. Let g = 256 + o. Calculate the highest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+-170.53897314\nAnswer: -170.62897314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2. Let g(m) = 5. Let j(r) = -r + 25. Let z(d) = 5*g(d) - j(d). Determine v(w) - 4*z(w).\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*t - 2941 + 2509. Solve 4*j = -11*q + 13*q + 14, 0 = 2*q + 2*j + t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -917.088*-4.\nAnswer: 3668.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k - l, 0 = 3*l - 2*l + 4. Let y be -41 - 0 - (k + -4). Let d = y + 71. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (151 - 143) + -16 + 3 + -4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 0.227?\nAnswer: 0.227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 16 + 3 = r, 0 = -5*r - 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and (90\/(-50))\/((-3)\/20).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -17*x**4\/12 - 75*x**2 - 1. Let q(k) = -2*k + 5*k - 6*k. Determine q(l(v)).\nAnswer: 102*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95281702.\nAnswer: 2, 17, 2802403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/3, -90, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 15130 - 489610 = 0. Suppose 5*y - g = 160368. Round y to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3980.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20302745 + 6?\nAnswer: 20302753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86184.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148529*q + 365*q**3 + 148529*q)*(-2*q + 1 - 1)*(2*q - q + q).\nAnswer: -1460*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 68*u = 64*u + 6, -24 = 4*r + 5*u for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/(-30)*(-560)\/(-460)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c + -21a?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 4*g + 10 = -3*f, 0 = -f - 2*g + 2. Let o(x) = 4*x**2 + 2*x - 2. What is o(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2059 * -9.\nAnswer: -18531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/90 - 28*v**3\/5 - 5292*v**2\/5 + 711*v. Factor m(k).\nAnswer: -2*(k + 126)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -788 by -394.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -3. What is the remainder when z is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1 - -2) + 86 + -86.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -376*v - 26. Is i(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423.27 centuries to decades.\nAnswer: 4232.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9027 + 2127. What are the prime factors of q?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-395)\/390 - (-116)\/(-754)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -176, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -7*g + 76 - 121, 0 = -5*c - 4*g - 10. Let n(k) = k**2 + 5. Let a be n(0). Solve 2*r**c + 1\/2*r - r**4 - r**3 + 1\/2*r**a - 1 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-45))\/((15\/(-27))\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 275\/4. Let r = 0.13 - -4.87. Let b = 4.8 - r. What is the closest to -0.1 in 0.5, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239544*b*i**3 - 4*b*i**2 + 95517*b*i + i**3 wrt i.\nAnswer: 1437264*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/33 (b) 0 (c) 370 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -7. Let l be -354*((-1)\/2)\/(-1). Let h = l - -189. Calculate the smallest common multiple of n and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r - r + 0*r. Let u(p) = -19*p**2 - 53*p**2 + 103*p**2. What is u(v(m))?\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h - 6. Let u = -3 + 9. Let z be t(u). Suppose 0 = -2*d + z + 2. Calculate the smallest common multiple of 8 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*4\/(-110))\/((-25116)\/(-17940)).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002342285076 rounded to 6 dps?\nAnswer: 0.002342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -453.29 - -451.00097. Let j = t + -0.01797. What is j rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 8*v**2 - 4*v - 12. Let j be 31\/(-3) + (-16)\/24. Is z(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11794706 a multiple of 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29*((-3)\/(-3) - 2). Let y = 27 + b. Let i(p) = -p**2 + p + 1. Let c(f) = 7*f**2 - 8*f - 9. Let a(r) = c(r) + 6*i(r). Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99 + -1?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.02705 grams to nanograms.\nAnswer: 47027050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 1 + 1)*(-32*b - 4*b - 12*b)*(-b + 2*b - 2*b).\nAnswer: 96*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/14 and 6 - (3695\/350 + -6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.6574 - 7.713079. Round g to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 55 = -0 - 44. Let t = 2 - -12. Suppose -4*j = p + p - t, -p = 3*j - 8. Solve 0 = p*d - 4*o + 20, 4 + 1 = -l*d + o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79077 (base 12) to base 2.\nAnswer: 100111010000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -9aa0?\nAnswer: -9a9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 144372\/68 + (-192)\/(-102) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.659 + 7.059. Suppose 3 = -8*o + 5*o - 3*z, o = -3*z + 1. Sort -4, o, -0.03, v in ascending order.\nAnswer: -4, o, -0.03, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-886)\/420 + -4 + 114\/30 and -2\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 1:57 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -103413.99 less than 2?\nAnswer: 103415.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**2 + 9*s - 26. Let z be i(3). What is z rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*f + 567 = 98*f. Solve 0 = -5*q + f*n + 30, 4*q - 34 = 4*n - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z - 76. Suppose -8 - 76 = 6*l. What is the remainder when 30 is divided by v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4440*g + 4470*g - 8894*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*h + (0*h + h + h)*(3 + 1 - 2) + 0*h + 2*h - 4*h + (10*h - h + h)*(-4 - 1 + 6))*(-3 + 18 + 10) to d + i*h and give i.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 3}. What is prob of sequence ci?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -214812 - -1.12?\nAnswer: -214810.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1325 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69697497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000848459231 rounded to 7 decimal places?\nAnswer: -0.0000848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 4. Let j be w(5). Suppose -3*m + 29 = -2*h, 5*h = 2*h + 2*m - 56. Let y = h - -24. Solve -2*t = y*d + 6, -2*t + 8 = -2*d - j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5133*v. Let m(s) = 5*s**2. Give m(r(i)).\nAnswer: 131738445*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 5:38 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*q, b + 0*q = 4*q. Suppose b = 11*g + 17*g - 16912. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*1\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1494, -2972, -4420, -5838, -7226?\n\"Answer: 15*p**2 - 1523*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*f + 3157 = 9237 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98217.\nAnswer: 3, 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -12 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 1520*q - 38250.\nAnswer: 2*(q - 25)*(q + 3825)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 991165933*q - 872390875?\nAnswer: 991165933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c + 19f?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c053 (base 15) in base 5?\nAnswer: -201044303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1*l*l**3*l*(l\/l**(-2))\/(l*l**(-1\/9)) assuming l is positive.\nAnswer: l**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13390.\nAnswer: 2, 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 4425450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/2 + 1841*y\/2 - 23595 = 0. Calculate y.\nAnswer: 26, 1815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*n**2*v**3 + 5*n**2*v + n**2 - n*v**3 + 51*n*v**2 + 8 wrt n.\nAnswer: 28*v**3 + 10*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16\/6*(-30 + 885\/20) and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4*6*(-1)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkawiqwa. Give prob of picking 1 a and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bzhzhczzzbhbbzzb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20437 - 81751\/4. Put 30.8, 0, b in decreasing order.\nAnswer: 30.8, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:27 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1980 - -1986. Solve 6 = -2*p, -12 = -3*g + t*p - 5*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 107. Calculate the lowest common multiple of 22 and 2\/(-9) - q\/(-18).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21357 in -3\/2, 4, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11840\/11248)\/((-4)\/(-38)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22021221100 - 2221210?\nAnswer: 22011222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:22 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 5:27 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d**3 - 9*d**3 + d**3)*((1 + 2 + 0)*(-2 - 1 + 5) + (-6 + 6 - 6)*(-2 + 2 - 2)) in the form t*d**3 + x + f*d**2 + a*d and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1308188 divided by 38.\nAnswer: -34426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 5603?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -7.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 - 1 - 4*j**2 + 11*j + 1 to z + s*j + d*j**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 + 6*n**4 - 21*n**3 - 60*n**2 - 36*n = 0 for n.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.5, -56\/111, 26\/5?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*t**4 - 2*t**3 - 2082396*t**2 - 23*t + 4657346 wrt t?\nAnswer: 96*t**2 - 12*t - 4164792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99031 or 99032?\nAnswer: 99032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 99. Let x be t(16). Suppose s = 5*g - s + 35, -s = 4*g + 15. Let f be g*(9\/x + 4). Sort f, -1, 3 in increasing order.\nAnswer: f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(0 + 1\/(-2)). Let x = 9 + -7. Let p(d) = d**x + 2*d - 2*d + 0*d**2 + 5*d**3. Calculate p(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {l: 1, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*p - 27*p - 11592. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 340\/35 - 2\/(-7). Let w(o) = -o**3 + 11*o**2 - 8*o - 14. What is the units digit of w(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + f**3 + 5 + (1 - 5 + 3)*(-f**3 - f + f) - 1 - 5*f**3 + 1 + (-2 + 2 - f**2)*(f - 3*f - 2*f) + (3*f - f - 3*f)*(0*f**2 - 3*f**2 + 5*f**2).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001 (base 2) in base 9?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -571?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-9231\nAnswer: -4615.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 43) + (-134 - -36) + 103\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*z - 922, 3*g - 914 = -0*z + 2*z. Calculate the greatest common divisor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56457 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 2*p - s, 5*p - 813*s - 212 = -812*s. What is the remainder when 3608 is divided by p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - 1 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 = -7. Suppose 3*a = i + 6. Find the first derivative of 4*x**a - 2*x**3 - 3*x**3 - 1 wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2.5, -6\/11, 3, 0.4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9019405 years in decades?\nAnswer: 0.09019405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n - 4*n + 6*n**2 + 5*n wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -16*c + 100. List the prime factors of 2\/((-1)\/((-4228)\/(-1 + c))).\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 23. What is the third derivative of 0*i**2 + 2*i**r + i**3 + i**3 + i**2 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054377 + -2.172.\nAnswer: -2.226377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27672221749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 605701863 and 29.\nAnswer: 605701892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 49 + (-6)\/3 + -7. Solve 1 - k = 13*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 4*p - 44 + 44 + 0*p + 3*p - 4*p + (-p + 5*p - 2*p)*(1 + 5 - 4) - 2*p - 2*p + 3*p.\nAnswer: 6*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p**3 - 2*p**2 + p - 1. Suppose -3*f - 4*a = 6, -2*f = 2*f - 4*a + 8. Is b(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -496 + 863. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 542? (a) 2\/7 (b) -0.1 (c) -2 (d) 352\/7 (e) -1\/4 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eieiiceeec. Give prob of sequence eei.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1375221, 2750436, 4125651?\n\"Answer: 1375215*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 772250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + n + 3. Let y be p(4). Let o = y - -16. Let i = o + -7. Which is bigger: -0.6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2550 + 0?\nAnswer: -2550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:27 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - n**2 - 2*n - 3. Let t(j) = 8*j**3 - 5*j**2 - 9*j - 11. Suppose -3*g + 19 = 5*p, -2496*p + 2497*p + 2*g - 8 = 0. Give p*t(b) - 9*x(b).\nAnswer: -2*b**3 - b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + t + 147 = 0, 0 = 5*t - 27 + 2. Solve p*g + 12 = 35*g - 3*v, v + 10 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613, 609, 603, 595, 585?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335596, 671200, 1006804, 1342408, 1678012?\nAnswer: 2013616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3709 - 757. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-5) + (-2)\/10. Suppose 2*c = -2*g + 8, -5*c = 2*g - 3 - 14. Let q be (5 + -1)\/(142\/(-4) + 36). Put f, 2, q, c in decreasing order.\nAnswer: q, c, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h = -5*k + 3, 3*h = 4*k + 9. Sort 0.2, 4\/7, k in descending order.\nAnswer: 4\/7, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 18, -39, -154, -345, -630?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10990920432 and -0.12.\nAnswer: -10990920432.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 1, b: 1, t: 5, h: 4, x: 2}. What is prob of sequence tt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 + -0.18. Let x = -193\/11 + 17. What is the closest to x in 1, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139.33358 seconds in weeks?\nAnswer: 0.00188381875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 2*b - 1. Suppose 4*c = m - 6 - 0, -3*c - 4*m = -5. What is f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*k + 3*k. Let m = 5\/8 + -1\/4. Let n be (2\/(-6))\/(4\/6). Which is the closest to -0.1? (a) m (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 38*t - 10. Suppose 4 = -h + 2*h. Let y be 3*2\/(h\/2). Is 26 a factor of w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101100 + -10000101011111101?\nAnswer: -10000110001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 776 and 256468?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 22*m**2 - 12*m - 7. Let w be z(11). Suppose -w + 488 = -11*d. List the prime factors of d.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -4*m. Let z(s) = s**2 - 2*s - 6. Let o be z(3). Sort 6, o, m in decreasing order.\nAnswer: 6, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/c)**(4\/25) assuming c is positive.\nAnswer: c**(-16\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 568 and 12.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-168)*16)\/((-2)\/(-1095)). Which is smaller: b or -364?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6717367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3931938637 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqb when three letters picked without replacement from {q: 2, n: 4, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -1. Let d = u + -14. Let x = 0.1 - -0.2. What is the biggest value in d, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19479 is divided by 382.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -363.\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 - -100. Suppose 0 = 29*v - m*v + 84. Let z(b) = -7*b - 6. Give z(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14909.7 and 2?\nAnswer: -29819.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/9576 and 61\/16758?\nAnswer: 67032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thththhhtttttthhhh. What is prob of picking 1 t and 1 h?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0169612607 to four dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 1\/120*n**6 + 0*n**3 - 7\/60*n**5 + 0*n + 2*n**2 + 1\/4*n**4 + 0. Suppose -58*p = -53*p - 30. Give r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f\/f**(-2\/17)))*f*f\/(f\/f**(3\/7))*f)\/((f**(-4\/7)\/f)\/f*f**(-1\/4)*f))**12)**(-2\/109) assuming f is positive.\nAnswer: f**(-2190\/1853)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1733 and 1734 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -12*j - 65600. What is j rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*z**4 + 6 - 17 - 786*z**3 + 787*z**3 + (0 - 2*z + 0)*(-z**3 + 2*z - 2*z) to the form c + i*z**3 + g*z**4 + q*z + m*z**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - -16. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*s + 2 - 28, 3*w = 4*s - 96. What is the lowest common multiple of 252 and s?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 504*p - 19716.\nAnswer: -3*(p + 62)*(p + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:05 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 1. Let y(j) = -j**3 + 3*j**2 + 5*j - 6. Let a be y(4). Let z be l(a). Let c be z\/((-3)\/30*-2). Solve -3*o = -0*n + 3*n - 6, 0 = -c*o - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65416 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 38434360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16595, -66835, -150563, -267779, -418483, -602675?\nAnswer: -820355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 406*w**2 - 94*w**2 + 53*w**2 - 2.\nAnswer: -447*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1000 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/19 - 104*t\/19 + 330\/19.\nAnswer: -2*(t - 3)*(t + 55)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -513507666*b**2 + 13530407.\nAnswer: -1027015332*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23667055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 + s**2 + 2*s + 2. Let r be t(-1). Which is the closest to r? (a) -2 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15560 - -15046.15. Round y to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3202261.\nAnswer: 97, 33013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683891259?\nAnswer: 3, 137, 139, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.163528 to three dps.\nAnswer: 2.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0283824283 times -1\nAnswer: 0.0283824283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275010616.\nAnswer: 2, 41, 838447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 15, -5*m - 37 = -y + 23. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/33)\/(2550\/14025)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(34)\/sqrt(2)*4 + 1*(-3 + sqrt(833)))**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 - 30*j**3 - 64*j**2 + 5846*j.\nAnswer: 24*j**2 - 180*j - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12357 + 242. List the prime factors of k.\nAnswer: 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/7)*p**(-1))**(1\/42)*((p**(-1))**(-16))**38 assuming p is positive.\nAnswer: p**(89377\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a**2 + 325*a + 30*a**2 - 325*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109174?\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-105) - 24\/84 - (-308026)\/3495?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5876 - 1704 = -20*r + 6120. What is the smallest common multiple of 285 and r?\nAnswer: 39045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cncerckcr. What is prob of sequence cecn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 60 = -8*o. Calculate the highest common divisor of o and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 35 = -1020*m + 1015*m, 0 = -5*m + s + 29 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Suppose -d*i - 12 = -9*i. Let f be 1\/(3\/(-9)) + i. Solve f*j - 2*j - 6 = 4*p, 3 = -5*p - 4*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-30) + 6\/40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*h - 4*u - 0, 0 = -4*h - 3*u + 20. Solve -3*w = -4*v - 21 - 10, 4*v = -h*w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 41667 (base 12) to base 9\nAnswer: 140387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -751 - -650 - (1 + 7 + -16 + -13).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 17*o**2 - 11*o + 18. Let x = -101 + 85. Give d(x).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-5)\/3 + (-1)\/3. Let r be (1 - n) + 669*(-2)\/3. What is r rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2. Suppose -2*f = -4*f. Suppose -4*l = -f*l. Let b(o) = 117 - o**2 + l*o**2 - 117. Determine b(s(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)\/v)**(-2\/7)*v**(-12)*v**9\/v assuming v is positive.\nAnswer: v**(-136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 4*f + 504 - 2*f - 504 as d + s*f**2 + m*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3560)\/534)\/((24\/27)\/(-2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0519012 litres in millilitres?\nAnswer: 51.9012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-53852)\/(-9) - (-17 + 745\/45).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -0.5 (b) 1 (c) 2\/11 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -1\/85, 0, -1, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/8 - 4*u**2. Let q be d(1). Let c = q + 3. Let f(o) = -o + 10. Calculate f(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 4241, -17, -14 in ascending order.\nAnswer: -17, -14, 0, 4, 4241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 2608519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1374 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a**0)**35 assuming a is positive.\nAnswer: a**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -471\/4 (b) -1\/4 (c) 1\/7 (d) -155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1304*h - 7790*h - 332*h**2 + 334*h**2 - 919*h)*(0*h - 2*h - 2*h) to the form l*h**2 + v + j*h**3 + o*h and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdb when three letters picked without replacement from {d: 1, j: 2, g: 1, z: 1, b: 2, v: 7}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 2, -2\/49, 0.2, -3, -0.3 in decreasing order.\nAnswer: 2, 0.2, -2\/49, -0.3, -7\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 6*j - 4. Let q be u(-4). Let n = 5 - q. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -33.46.\nAnswer: -33.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 874 = -7*a + 9*a. Find the third derivative of -a*s**3 + 65*s**2 + 17*s**2 + 308*s**3 wrt s.\nAnswer: -774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18 + -27)\/(-2 - 1). Solve 4*o = o + y - 11, -x*o - 1 = y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/8 + (-3)\/(-4) + 5. Suppose -2*d + v*o = o - 386, 5*o = -15. What are the prime factors of d?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21372 and 198001716.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1071.86 - 1072.86. Let y = -91\/4 + 22. Let p = y + 1\/12. Which is the nearest to f? (a) p (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*h + 11, 3*h = -5*r + 12 + 4. Suppose 5*z - 88 = -k - 3, 0 = 4*k + 20. Suppose 0 = -u - 0*u + z. Calculate the remainder when u is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) 6.6 (c) -1\/3 (d) 69 (e) 0.12 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (105\/(-135))\/(5\/(-90)). Let y be -4*14\/4 + -1. Let l = 13 - y. What is the greatest common divisor of l and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30130431 (base 7) to base 4\nAnswer: -21201012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -25. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g*r**2*x - 3*g*r**2 - 9*g*r*x + 6*g*r - 7*g - 198939*r**2 - r*x - r + 43584 wrt r.\nAnswer: 10*g*x - 6*g - 397878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -40d?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 1002721.\nAnswer: 300816.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 5*h**2 + 8*h. Suppose -2 = 2*l - 3*l. Let x = 4 + l. What is the tens digit of i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.4 and -0.131819?\nAnswer: 2.8209266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/((-16)\/4))\/2. Is (290\/a)\/((-3)\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:05 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3030 and 942.\nAnswer: 475710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 2*b - 4, -x - 5*b = -7. Suppose 4 = 5*h + 2*w, 5*h = x*w + 2 - 6. Suppose t - 81 + 23 = h. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/3 - 8*f**3\/3 + 19*f**2\/3 - 4*f = 0. Calculate f.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 41*a - 5 + 9)*(2*a + 2*a - 6*a).\nAnswer: -72*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.042 and 75?\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17869*b**2*j**3 + 2*j**3 - 53*j - 6 wrt b.\nAnswer: 35738*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -453, -1797, -4027, -7143, -11145, -16033, -21807?\n\"Answer: -443*x**2 - 15*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.18 - -1.46. Let m = r - 0.08. What is the biggest value in m, -2, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -161, -349, -553, -779, -1033, -1321, -1649?\n\"Answer: -v**3 - 2*v**2 - 175*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 5)*(-5*i - 8 + 8).\nAnswer: -55*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 - 8*q**3\/3 + q**2\/2 - 7*q - 2. Let s be c(-8). Let g = s + 37. Solve -4*r = 3*w - 4, 5*r - w + g = 2*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3 + 9 + 2 + 2*a. Let z = -173 - -167. Calculate i(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 - 10. Let x = -64 - k. Let u be 50*40*(-882)\/x. Round u to the nearest one thousand.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.1. Let j be 4\/(-3)*3\/(-2). Let r be 1\/(-8 + -1 + 2). Which is the closest to 0? (a) r (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 36*u**2 - 75*u - 22. What is c(38)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 1563 = 18*i. Suppose s - f = 663, 2*s + 3*f - 825 - i = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - k + 11. Let b(p) = -p**2 + 11. Let m(q) = -6*b(q) + 7*v(q). Let t be m(-8). Solve -4*r - t = -c + 8, 14 = c - 5*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2657\/820 - -2\/205. Let x = -144.82 + 139.82. Is k at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, i: 4, c: 3, y: 1, w: 1}. What is prob of sequence ccoy?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-27))\/((-2)\/12). Suppose -r + f*r = 3. What is the second biggest value in r, -2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 - 3 = 0. Suppose -p + 31 + 24 = -u*l, 64 = p + l. Calculate the remainder when p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * 23552\nAnswer: -58880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5911996 by 2955998.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:09 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxo when three letters picked without replacement from {l: 3, n: 1, o: 3, d: 3, u: 2, x: 3}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -61. Suppose -5*r - n*a + 427 = 0, -2*r + 4*a = 2*r - 316. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(320) + sqrt(320)*1*4)*-5)\/(-1*sqrt(810)*-2 + sqrt(810) + (sqrt(810) + sqrt(810) + sqrt(810)*2 + sqrt(810))*-3).\nAnswer: -50*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 3*i - 2. Determine o(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5 - 84*i**4 - 387*i**3 + 644*i**2 + 948*i = 0 for i.\nAnswer: -79, -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45308 + -23621. Suppose 2*j + 3693 = -2*t + z, 0 = -4*t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 430, 506, 584, 664, 746, 830, 916?\n\"Answer: o**2 + 73*o + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233305 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 8, -0.2, -3, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/4 - y**3\/6 + 3*y. List the prime factors of s(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let n(h) be the second derivative of -13*h**4\/6 + 122*h. Give n(a(l)).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89935850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdyi when four letters picked without replacement from ffdrrirydrfrr?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23309149, 46618295, 69927441, 93236587?\n\"Answer: 23309146*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4996?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -6, -5 in descending order.\nAnswer: 61, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 475 - 472. Solve 5*s = p*z - 0*s + 37, 0 = 3*s - 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1606.2 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/71 - -63\/284. Let y = 11 - 7. Suppose a = y*a. Which is bigger: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -163, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943100 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 2*m + 4. Let g(q) = 5*q**2 + 3*q + 5. Suppose -4*a - 1 + 13 = 0. Give a*j(w) - 2*g(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 5 + (-8 - (0 - -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -323 and -5.\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 14*w**2 - 10*w - 6. Let u be t(13). Find the second derivative of -4*q**4 + 33*q**3 + 7*q - u*q**3 wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.206 - -1.206. Let f = 26.8371 + 0.1029. Let t = 27 - f. Which is greater: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1\/(-6) - -1. Let m = 2\/1483 - -143843\/5932. Let r = m + -24. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.602 > -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 3:06 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169 + 430. Calculate the greatest common divisor of h and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -63, 4 in descending order.\nAnswer: 4, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2\/7*z**5 + 0*z - 6\/7*z**3 + 0 - 2\/7*z**2 - 6\/7*z**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 15*o - 4787. Give j(67).\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 4314762570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 > -20006\/683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -1\/4 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 11352 in ascending order.\nAnswer: -6, -3, 11352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - 5.72.\nAnswer: -29.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -435971364*w**2 - 4*w + 21436357?\nAnswer: -871942728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112784?\nAnswer: 2, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 6, p: 5, z: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 6*u + 1. Let l = 19 - 3. Let f = 10 - l. Calculate n(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-43 - (-35 - 42))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:43 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 488471342347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12245394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 571, -2, -1203, -3032, -5489, -8574?\n\"Answer: -314*x**2 + 369*x + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-196)\/(-21) - 8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 9\/2 (c) -4\/13 (d) -0.23 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 6 + 1 = 3*l, -4 = -4*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5 = 2*v. Let u be ((-21195)\/1570)\/(54\/(-8)). Put 3, u, v, 1 in ascending order.\nAnswer: v, 1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6 = -3*n. Suppose -5*s = -k - 17, -n*k + 3*k - s = -5. Let q(x) = 7*x + 1. What is q(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 2291*a + 1149*a + 1148*a - 1. Let d(w) = -28*w - 315. Let v be d(-11). Give k(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -10*r - 12. Let t be 108 - 7 - 1*-1*r. Let u = 6 + t. What is the highest common factor of 26 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j - 4. Let s(t) = 23*t. What is s(g(v))?\nAnswer: 184*v - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*r = -965*r - 435 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 + 125460*g**4 - 1254265*g**3 + 4138730*g**2 - 5016480*g + 2006560 = 0.\nAnswer: 1, 4, 25082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 5*t**4 - 1 + (-2*t**2 + 2*t**2 + 3*t**2)*(-6 + 1 + 3)*(0*t + 0*t + 3*t**2).\nAnswer: -23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 8509 = 10*y - 4*u, 0 = 3*y + 3*u - 8481. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7497 by -3.\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.3 + -0.3. Is 11 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-21) + 2\/(-14). Let d be ((-66)\/(-32))\/(9\/(-12)) - -3. Which is the nearest to d? (a) n (b) -1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631889.\nAnswer: 631889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2422*t = 2*g + 2423*t - 8, -43 = -7*g + 4*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(8\/7174) - (-8)\/2. Let h = j + 3472. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 14) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k + 3. Let l be h(3). Let d be 10\/5*(-3)\/l. Sort d, -5, 0.1 in increasing order.\nAnswer: -5, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4332132031 (base 5) to base 9\nAnswer: -18365748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**21*((h*h\/(((h\/h**(-2\/7)*h)\/h)\/h))\/h)**(1\/7))**(-18) assuming h is positive.\nAnswer: h**(5202\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35061635 divided by -16979?\nAnswer: -2065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/442061552 and 91\/22.\nAnswer: 4862677072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 92.69. Round r to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*s + 6 = 0, 3*t + 0*t - 4*s - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4027 = -3*y, 7*a = 5*a + 5*y + 1586. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.3 - -48. Which is the second smallest value? (a) -0.4 (b) -2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4356, -4354, -4336, -4296, -4228?\n\"Answer: w**3 + 2*w**2 - 11*w - 4348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775954495.\nAnswer: 5, 155190899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 + -1)\/(-8 + 10). Suppose -5*y = -2*s - 15, s + p*y = 3*y. Sort s, -1, 5 in increasing order.\nAnswer: s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-9))\/((-4)\/6). Let l = -212 - -212.83. Let i = l + -0.75. Sort m, i, 1 in descending order.\nAnswer: 1, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 40*v + 250 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4611 and 8004.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606533*0.2.\nAnswer: 121306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18317\/(-273) - (-1)\/28*1328\/498.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5 - 10. Put -5, m, 1 in decreasing order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**5\/120 + i**3\/3 + 2. Let q(w) be the third derivative of f(w). Let x(t) = t + 3*t - 2*t. Calculate x(q(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(14) + sqrt(42)\/sqrt(3))*-2)\/(sqrt(77)\/(sqrt(11)*1) + sqrt(343) + sqrt(343)*-2).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3134 + -0.0134. Which is the third smallest value? (a) -1\/7 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-9)*-2 - (8 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqssxqqsssfsdqsxss. Give prob of sequence fxxq.\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2\/65)))\/u*u*u*u**1)\/(u\/((u\/((u**(3\/8)\/u)\/u)*u*u)\/u*u))**(-33) assuming u is positive.\nAnswer: u**(-61149\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 2*h + 6. Let a be r(5). Let l(y) = -2*y - 19. Let j be l(a). Let z be (-1)\/3 + 56\/294. Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - c + 2 + 2 = 0, -4*g - c + 9 = 0. Suppose -2 = 2*f - 8. List the prime factors of 48*g + 12\/f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/o)\/o**(5\/6) assuming o is positive.\nAnswer: o**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*t - 6*t + n, -t + 5 = 3*n. Solve -g - 4 = 0, 0 = 4*k - 4*g - t - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 7*b**3 - 3*b**3)*(2 - b**2 - 2) + (2*b**4 + 5*b**4 - 5*b**4)*(-1 - 2*b + 1).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**3 + 81*r**2 - 3*r + 20. Is d(-10) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -5*b + 3*v, 3*b - 2*v + 46 - 64 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21199 + 21211. What is the remainder when 89 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 3. Let d(l) = 2. Let p(x) = -1. Let t(v) = 3*d(v) + 5*p(v). Calculate -m(n) - 3*t(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19322, -19341, -19394, -19499, -19674?\nAnswer: -19937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7896 and 876174?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (9 - (1 + -4 + -3 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40659928 to the power of 1\/2, to the nearest integer?\nAnswer: 6377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 9*q**4\/2 - 98*q**3 + 757*q**2\/2 + 593*q + 112 = 0.\nAnswer: -1, -2\/9, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 575. Let j be n(28). Do j and -461 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/l*l**1*l)\/(l\/(l\/l**(1\/2))*l)**43 assuming l is positive.\nAnswer: l**(-141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 37*x - 257. Determine w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1348.4 + 1641. Let c = -293 + w. Let z = 1420\/9 + -158. What is the biggest value in -4, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2071 and 8611.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 0.1 (c) -2\/21 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -4 (b) 0.5 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -44. Suppose a*w - w = 4, -5*k + 28 = -3*w. Suppose 16 = 4*r, s - 3*r + 1 = k. What is the remainder when 75 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10\/987 - 12133\/3948. What is the common denominator of k and -81\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k + 2*v + 174 = 0, -3*k - 5*v = -301. What is the highest common factor of k and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -287723003 <= -287723003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 174?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6051, -47675, -160507, -380151, -742211, -1282291, -2035995, -3038927?\n\"Answer: -5934*t**3 - 86*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 25425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 9:12 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07415 and -724182.8.\nAnswer: -724182.72585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**3 + c**3 + c**3 + 7*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(297)*2)\/(-5*sqrt(12)*-1).\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-9) - (-734)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a + 4 - 6 + 2 as o*a + c and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*r**2 + 25*r**3 + 85*r**2)*(-20 + 20*r + 20).\nAnswer: 500*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r + 8431 + 9233 = -76*r + 30*r for r.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -35, 5\/23, 5, 0.3?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 at least as big as 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2907 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1549 - -4430. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114207723*x*z + 6854344*z + 1 wrt x?\nAnswer: -114207723*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223930.2 milligrams in micrograms?\nAnswer: 223930200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2464, -5004, -7610, -10312, -13140?\nAnswer: -16124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*d + 6*d**4 - 21*d + (0*d**3 - 4*d**3 + 2*d**3)*(d + 4*d - 4*d).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 0.1.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppwj when four letters picked without replacement from jpjpjppwjjjjjwjw.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 67.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1550 and 775.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-6))\/(3\/(297\/(-44))). Solve 5*i = o + 23, 5*o - t*i + 11 - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0353333 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 39547*n. Let v(y) = 102*y**2 + 2*y. Determine v(b(w)).\nAnswer: 159524451318*w**2 + 79094*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t - 28*t + 114*t - 42*t - 22*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12770183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 51. Solve -b + 18 = i*w, -3*b + 2 = -4*b + w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.9146 micrograms to kilograms.\nAnswer: 0.0000000149146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5688036 and 648.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 - 21*g + 37. Let s be f(2). Solve -s = 19*m + 61 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69792*o + 2 - 34278*o - 34793*o to z*o + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 122908 minus 56.1641955?\nAnswer: 122851.8358045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 447171 divided by 27.\nAnswer: 149057\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11328 is divided by 697?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 + 2*a + 35. Let f be d(0). Find the third derivative of -35*z + f*z - 2*z**3 + z**2 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p - 1 - 11 + 4*p + 3*p**2 with respect to p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355871460 rounded to the nearest 1000000?\nAnswer: 2356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -5 + 2)*-3. What is the remainder when 69 is divided by ((-6)\/1)\/((-1)\/t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - k = -25, -3*t - 2*t - 3*k - 27 = 0. Let y = 10 + t. Let i = 11 - 7. Is y at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40440b1 (base 12) in base 5?\nAnswer: -11040041200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-10) + 12\/(-30). Solve d - m = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/33)\/(1 + 1 + -4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -44. Suppose -4*c + 3*i + 1 = -b, -5*c + 3*i = -25. Solve -6 = 3*w + 2*m, c*w - 3*m + 17 = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*-2*(-1)\/4. Is 19\/(5\/5 + r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a + 113 + 62 = 0. Let q(j) = -2*j - 1. Give q(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 737\/2 or 369?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 186, 0.1, 155?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 6*z - 2. Let b be w(-8). Calculate the highest common divisor of 70 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -114689 + 114684, -10 = 5*u + 5*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17*q - 732. Let b(i) = -48*i + 2074. Let p(g) = 6*b(g) + 17*l(g). Let a be -4 + 2 - (0 - 10). Let z be (-3)\/(3\/a) + 2. What is p(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-3))\/((-2)\/6). Suppose y*a + 53 = 3*s, 3*s + 0*s - 5*a - 58 = 0. Solve 3*x = -s - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.137, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 15*u + 15. Determine b(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 882?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/123600 and 85\/1854.\nAnswer: 370800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -29. Suppose -f + 14 = t*h, -f - 3 - 4 = -4*h. Solve -25 = -h*a + 4*d, 0 = -2*a + 4*d - 3*d + 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -49 - 8\/15*l**3 + 1\/3*l**6 - 4\/5*l**4 + 14\/25*l**5 + 0*l**2 + 0*l. Determine u, given that s(u) = 0.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - r - 7, -2*g + 0*g + 5*r = -19. Let d be -3 - (-14*1 + 4). Suppose -g*s = d + 3. Let t(f) = -f**2 - 7*f - 7. What is t(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 96. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(96\/85))\/(((-15)\/(-4))\/((-27)\/(-6)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) -1\/6 (b) 7 (c) -328 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7448 (base 12) to base 16\nAnswer: -31b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/8)\/(v*v\/v**(2\/23)*v)*v*v*(v*v**(-1\/3))\/v*v\/(v\/v**0) assuming v is positive.\nAnswer: v**(-481\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + 150\/12)*(-6)\/(-381) and 31\/6.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12521783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/30 + 7*u**4\/24 - 16*u**2. Find the second derivative of a(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Suppose r = 2*r + 6. Let y be q(r). Let n(i) = -i**3 - 4*i**2 - 1. Is 12 a factor of n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 3*h - 49, 0 = -4*v - 5*h - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -31*t**2. Let i(q) be the second derivative of q**5\/60 + q**2\/2 - 21*q. Let f(b) be the first derivative of i(b). Determine f(c(k)).\nAnswer: 961*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9419, -4, 4, -1 in decreasing order.\nAnswer: 4, -1, -3, -4, -9419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 26*v - 45. Let j(y) = 1. Let h(m) = -a(m) - 2*j(m). Differentiate h(p) with respect to p.\nAnswer: -4*p - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -14 - -12 - (6 + 8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422082 divided by -179.\nAnswer: 2358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 10:37 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.25 - -0.25. Let n = y + 15. Is 11 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**2 + 33*t**2 - 22*t**2 + 23*t**2. Let v(h) = 3*h**2. Calculate l(v(m)).\nAnswer: 252*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 142988*g - 1276*g**4 - 142988*g + 3*g**4 - 5*g**4 + g**4 + (-2*g - g + 2*g)*(g - g - 2*g**3).\nAnswer: -1275*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14666.\nAnswer: 2, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3285, -3803, -4327, -4857, -5393, -5935?\n\"Answer: -3*t**2 - 509*t - 2773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d - 2. Let a be (21 - 1)*2\/(d - -3). Solve -5*x = -x + a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*z - 13 = 0, 0 = 4*h - 2*z + 4*z - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9576 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 76 = d. Let w = d + -17. Solve -3*o + 2*o + 3*n = -10, -w*o - n - 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 296791*j**2 + 126*j - 118123761?\nAnswer: 593582*j + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 8. Let z = -6 + f. Let u = -28 + 52. Solve m = -m + 2*x, z*m = -x + u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -33, -57, -85, -117?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1436, -5722, -12864, -22862, -35716, -51426?\nAnswer: -69992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4) + (4 + -2 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 22*l - 158 - 138, -49 = -5*m - 3*l. Factor 5\/7*c - 1\/7*c**m + 6\/7.\nAnswer: -(c - 6)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Let d be 2\/4 - 14\/4. Let y(t) = t**3 + 4*t**2 + t - 1. Let i be y(d). Let c(a) = 0*a - i*a + 4*a. Give v(c(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/1*-2. Let v be 3\/4 + 11\/(-4) - 5. Let d be (0 + 4)\/(18\/v). Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -38*h. Suppose -5*f - 7*f = -0*f. Let r(m) = f*m + 0*m + m - 3*m. Determine b(r(z)).\nAnswer: 76*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1161\/86*9\/(-3)*(-28)\/126?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/18 - (-2)\/(-9). Let u be 74*k*(-12)\/(-8). Is (u\/6)\/((-1)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 12:58 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/49545 and -38\/330855.\nAnswer: 1092814065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -86 and -7.\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -1, 79, 207, 401, 679, 1059, 1559?\n\"Answer: 3*z**3 - 3*z**2 + 38*z - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/x*x**24)\/((((x*(x\/(x**(-28)*x))\/x*x)\/x)\/x)\/(x*x**18\/x*x)) assuming x is positive.\nAnswer: x**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56599 + -33380. Is n a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7918?\nAnswer: 2, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 12 - 54. Suppose 286 = 25*f + f. What is the remainder when j is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595974 smaller than 595975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 171*t - 3. Let g be 57\/(-9) + (-4)\/6. Let p be q(g). What is p rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654 divided by 6.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -21.124\nAnswer: -10.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -62?\nAnswer: 5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 d when three letters picked without replacement from llllcdclldcccldccd?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41291561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 0*q**2)*(-2*q + 2*q + q) + (12*q - 8*q + 9*q)*(-4 + 4 + 2*q**2) + 9*q**3 - 5*q**3 + 16*q**3.\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5\/5 - 18*x**4\/5 - 24*x**3\/5 + 18*x**2\/5 + 27*x\/5 = 0. What is x?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 5*l - 3. Let t be u(-3). Suppose 4*b = 5*r - 2*r + 4, 4 = b. Let g = 4\/33 + -5\/11. What is the smallest value in r, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -124400*q**2. Let h(d) = d**2 + 83. Calculate h(n(j)).\nAnswer: 15475360000*j**4 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-33*z + z - 31*z + (-7 + 13 - 39)*(-3*z + 2*z + 4*z)).\nAnswer: -162*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021011 (base 3) to base 5.\nAnswer: 23101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*m + 43666, 2*b - 2*m - 12673 = 30957. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + 18 + 15 + -2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*r + 53. What is the smallest common multiple of 22 and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p - 5. Let a(m) = 4*m - 3. What is -10*a(q) + 6*u(q)?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -206510, -206667, -206824, -206981?\n\"Answer: -157*o - 206353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h - 3. What is u(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 1\/3*r**6 + 11\/30*r**5 - 1\/7*r**7 + 0 + 2\/9*r**3 + 0*r**2 + 12*r - 11\/18*r**4. Let h(n) = 0. What is n?\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 7, l: 12}. What is prob of sequence ylu?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t. Let i(n) = -n**3 + 11*n**2 + 11*n + 9. Let d(j) = 4*f(j) - i(j). Let k be d(8). Let r = 19720\/53973 + 10\/1999. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31375549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4904664 millennia to decades.\nAnswer: 49.04664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243528 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 5. Let u(l) = 7*l - 11. Let n(h) = -4*u(h) - 9*v(h). Let i(j) = j + 1. Let m = 1422 - 1420. Determine m*n(x) + 3*i(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4560\/8789 - -4638278\/3207985. Let d = v + 4\/73. Calculate the common denominator of -73\/6 and d.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(704) + -1*sqrt(704) + sqrt(704) + 1 - (-5 + sqrt(704) + 0)*-6)**2 + -5.\nAnswer: -2912*sqrt(11) + 35167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**3\/3 + 11*a**2\/2 - 21*a - 5. Let v be (9 + -3)*(-3)\/(-2). Let c be n(v). Let i(o) = o**3 + o**2 - o + 4. Give i(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 4 (b) 69 (c) -3\/7 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**8\/560 + c**5\/40 - c**4 + c. Let d(a) be the third derivative of m(a). Find the first derivative of d(w) wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 4 - 1 + 2*z**3 - 3 + 2*z**2 - z to the form d*z + b*z**4 + w*z**3 + g + n*z**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -125.4151?\nAnswer: -8.779057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4316300.\nAnswer: 2, 5, 17, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110670472*j**2*u*z**2 - 167351*j**2*z**2 + j*z - 32*z**2 wrt u.\nAnswer: 110670472*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(726) + sqrt(726)*-2 - sqrt(726) - sqrt(726)) - (sqrt(170)\/(2*sqrt(10)*2))**2.\nAnswer: -17\/16 - sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 106*d - 6*d**2 - d**3 + 110*d + 14 + 1 - 222*d. Determine f(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7475 + 11681. Suppose 41*j - 837 - f = 0. Calculate the highest common factor of j and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 20 = -3*d + 31*u + 94, -5*u + 111 = 4*d + 9 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:00 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 243 = 12*n. Suppose -4*w = -47 + n. Let o(f) = -f + 2. What is o(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 - 5*o + 3. Let l(b) = -b + 1. Let p(z) = -c(z) + 6*l(z). Let a be p(-3). What is the highest common factor of 48 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 24*n + 117. Calculate the remainder when 1*698 - 1\/((-1)\/4) is divided by v(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134\/335*(-35)\/(-70)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k + k + 0*k - 2 + 4. Let h be s(0). Solve h*l - 12 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034522 rounded to 7 decimal places?\nAnswer: -0.0000345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 44*y. Let c(q) = 5*q. Suppose 0 = 2*g + 3*g - 50. Suppose -g - 94 = -2*t. Let v(z) = t*c(z) - 6*i(z). Let j(k) = 4*k. Calculate j(v(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + 0.35. Suppose m - 29 = -3*p, 2*p - 3*m + 1 = 13. Let y = -13 + p. What is the second biggest value in r, 2, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*f + 223*f = -83 - 17. Let -56\/5*h**4 - 134\/5*h**2 + 129\/5*h**3 + 12*h - 8\/5 + 9\/5*h**f = 0. What is h?\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27\/38 + -4\/19. Let z = -1.049625 - -0.049625. Which is the closest to z? (a) -3 (b) 3 (c) u (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3146 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 30. Suppose -t = -w + 1, 0*t + c = 2*t. What is the units digit of (-1573)\/(-77) + w\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1061 (base 13) to base 14.\nAnswer: -b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 10) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2 = 5*b, 20*j = 19*j + 3*b + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 + 5*m**2 - 5*m**2)*(2 + 1 - 5) + m**2 - 1 + 1 + (-m + 2*m + 0*m)*(4*m + 2*m - m) as d*m + o*m**2 + x and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 415 divided by 2\nAnswer: 415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596354 is divided by 511.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000227 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 + 0*u**2 - 5\/3*u**4 - 1\/2*u**3 - 34*u. Find the second derivative of g(t) wrt t.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*h - 3579*h = 3419*h - 246602 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194826 divided by 3.\nAnswer: -64942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1337 and 0.458.\nAnswer: -1336.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 8:18 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = c - 14, 22*y - 4*c - 88 = 17*y. Let i(k) = k**3 - 13*k**2 - 23*k + 37. Is i(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Suppose 0 = 3*d - 0*d - 2*x - 14, 5*x + 22 = d. Let j(p) = 2*p**3 + 2 - p**3 - d*p**3. Give j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 5, -3, 369 in decreasing order.\nAnswer: 369, 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, -0.24, -0.1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 - n - 2. Let x be l(2). Solve -3*j + j = x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -42. Which is the second smallest value? (a) k (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -25. Suppose -y = 5*b + 3*q, 10*b - 5*b = 4*q - 28. Suppose -2 + 0 = 2*n. Sort n, 3, b in decreasing order.\nAnswer: 3, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52408880.\nAnswer: 2, 5, 655111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48920576 is divided by 2233.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2769\/117 + -25)*(6\/28)\/(-1). What is the third smallest value in 1088, s, -0.2?\nAnswer: 1088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 14, 657468 in ascending order.\nAnswer: -3, 4, 14, 657468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b - -4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33383 * -3.\nAnswer: 100149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10023023 (base 7) to base 10\nAnswer: -829391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50953 = -y - 3*m + 33047, -y - 2*m = -84000. What is y rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z - 28. Let l be m(3). Which is the biggest value? (a) 1 (b) l (c) -4\/3 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21564862 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 56350\/(-1250) - (-10416)\/(-200)*-1\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 937*r + 55*r**5 - 2409050*r**2 + 2409050*r**2 - 18*r**3 wrt r?\nAnswer: 1100*r**3 - 108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 + 3 = 0. Let f be 81240\/38589 - (112\/342 + (-4)\/18). Solve 0 = -3*t + 12, -z*x - f*t = -7*t + 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 170947.\nAnswer: 3\/170947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * 1.4\nAnswer: 0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30814225.7994 and -133.\nAnswer: -30814358.7994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3451613?\nAnswer: 11, 313783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -115, -140, -187, -262?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2 + 406332*d*v - 804273*v + 2 wrt d?\nAnswer: 2*d + 406332*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70278 and 340?\nAnswer: 702780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2426*u**2 - 9 + 5 - 2395*u**2 - 2412*u**2 + 7184*u**2.\nAnswer: -49*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-16)\/(-12))*(-5 + 635\/130)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**3 + h**2)*(-1 - 1 + 3) - 4*h**3 + 658*h - 663*h + 6 - 7.\nAnswer: -5*h**3 - 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1220061, -1220266, -1220471, -1220676?\nAnswer: -1220881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmqcecqqcqqmecqeq. Give prob of picking 2 c.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 119248 - 119267 = 3*m, 4*m - a + 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -527631 (base 12) in base 10?\nAnswer: -1298629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/814 and -3\/1454396.\nAnswer: 15998356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -28*k**2 - 941988*k + 2422440 = 0.\nAnswer: -33645, 18\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 99627 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1394 divide 41182942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 23\/8 of a micrometer?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from srmsrmsmmssr?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-46))**(-2\/17) assuming t is positive.\nAnswer: t**(-92\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 + 2\/2. Let q = -55 + 56. What is the second biggest value in f, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 204*w + 3007. Let a be n(-16). Which is smaller: -38\/447 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9974513ng to tonnes.\nAnswer: 0.0000000000000009974513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 1. Let s(j) = j. Let p(l) = -k(l) - 2*s(l). Let c be p(-4). Factor 6*n**5 + 8*n**5 - 5*n**3 - 2*n**3 + 3*n**c + 10*n**4.\nAnswer: 2*n**3*(n + 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -77048*x**2 + x + 7. Let n(y) = -18*y. Give f(n(g)).\nAnswer: -24963552*g**2 - 18*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296\/(-74)*((-856)\/112 + 10)*(-1)\/3?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522*i - 260*i - 260*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/27 - 31\/108. Let i(x) = -3*x**2 - 25*x - 41. Let n be i(-2). Which is the closest to -1? (a) q (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 822 in decreasing order.\nAnswer: 822, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(18\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - 0) + 395\/237*-6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 1)*8\/(-6). Let u be (o\/6)\/(2\/6). Let z(i) = -5*i**3 + 13*i + 2. Let x(f) = -2*f**3 + 11 - 6 + 6*f - 4. Calculate u*z(q) + 9*x(q).\nAnswer: 2*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 189*h - 186*h + 7 = -4, 0 = 4*n - 3*h + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and 871.\nAnswer: 870.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*f + 936*f + 30187 = 77435 + 36188 for f.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 11) to base 6.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 9, s: 2, o: 4, i: 1, h: 1}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -10934756.42?\nAnswer: 10934754.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 5. Let v(j) = 26*j - 6. Determine v(t(n)).\nAnswer: -52*n**2 - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421189477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d**3 + d**2 - 6*d - 7. Let n be i(-1). Suppose -n*s - 14 = -40. Solve -m - 5 + s = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let m be 10\/(-6) + (-4)\/(-6). Let o be x(m). Factor 12 + 1 + o*v**3 + 0*v**3 - 5 - 6*v**2.\nAnswer: 2*(v - 2)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104948 - 104948 - 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158418 is divided by 39604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -4)\/(3\/5541) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuxx when four letters picked without replacement from xllxlululxuxx.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from imiiiiiitimttiimiimi.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**2. Let q(k) be the first derivative of -7*k**2\/2 - 17. Calculate m(q(v)).\nAnswer: -392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) - (-3)\/((-18)\/(-816)). Suppose 2*j = 3*b - 120, 2*b - n = -b - 4*j. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(4 + 6 + 0)*(j + j + 0*j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(320))**2.\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4484 or 1?\nAnswer: -3\/4484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154\/9 + 764\/45. Suppose 25 = -5*h - 2*d - 12, 0 = -h - 3*d + 3. Let r be 4\/6*h\/21. Which is the nearest to r? (a) s (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205868?\nAnswer: 2, 73, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 4*j**2 - 4. Let i be h(3). Suppose r + 24 = -i*w, -4*w - 10 = 10. Is r not equal to 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 6*y - 3. Let b(n) = 3*n**2 + 14*n + 1. Calculate -2*b(h) + 5*x(h).\nAnswer: -h**2 + 2*h - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, -7.188, -1.2.\nAnswer: -281, -7.188, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/6)*k**(-3\/10) assuming k is positive.\nAnswer: k**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*c**3*v + 17*c**2*v + 1085*v wrt c.\nAnswer: -114*c**2*v + 34*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 2, l: 4}. Give prob of picking 3 k and 1 l.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 15076746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 18. Let j be 89*2\/f*3. Suppose 2*g - j = -3*i, -3*i + g + 57 + 47 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 54*h**2 - 39*h + 105. What is the hundreds digit of y(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 4 - 3*i**2 - 7*i - 1 - 3. Let x be q(-3). Let n be (-2 - x\/3)*(-5 - 16). Solve -5*k - 19 = j, -2*k = -0*j + j + n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 - (65 + -24 + 9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2386 + 2*f**2 - f**2 - 13 - 6*f**2 + 3*f.\nAnswer: -5*f**2 + 3*f + 2373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 1, s: 1, r: 2, j: 1, c: 1}. Give prob of sequence su.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 - 1.21. Suppose 7 = -2*t - 5*u - 3, -u = 5*t - 21. Let v = 3480 + -3479.9. Which is the nearest to v? (a) 0.4 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465336 by 18.\nAnswer: -25852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19756*p - 19050*p - 261*p**2 + 37*p**2 wrt p.\nAnswer: -448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.4, -2, 5, 52\/1093, 2\/3, -0.1?\nAnswer: 52\/1093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5466772?\nAnswer: 2, 1366693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/699810 and -27\/10.\nAnswer: 699810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.14 - 23. Let u = 0.06 + k. Which is the nearest to -1? (a) 1 (b) u (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:53 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20227486*x - 20227486*x - 3*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + f + 0*f)*(0 - 3 + 1 + (-3 - 1 + 5)*(-4 + 5 - 3) + 4 - 3 - 3 + (1 + 2 - 6)*(0 + 0 + 3) + 0 + 3 - 1 + 1 + 3 - 2).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25*d + 30 = 30*d, -2*d = 4. Solve -x*r + 20*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 4. Let f be g(11). Let y(k) = -k**2 + 8*k + 3. Let s be y(f). Find the second derivative of 2 - 2 - 211*t + 208*t + s*t**2 wrt t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39233 - 16?\nAnswer: 39219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + 20*w**2 + 48*w + 1. Give x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 74692.3 nanograms?\nAnswer: 0.0000746923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(9\/11)\/(l*l\/(l\/(l*(((l*l**(-11\/4))\/l)\/l*l)\/l)*l)*l) assuming l is positive.\nAnswer: l**(113\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4)\/14 - 12\/189.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from jbatbvt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 16. Let x(t) = -t**2 - 8*t - 7. Let u be x(a). Let m(n) = -n**2 + 11*n - 7. Does 10 divide m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*z**2 - 73*z + 150*z - 77*z as y*z + m*z**2 + g and give m.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggeeggege. What is prob of sequence ggg?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*l**2 + 1002*l - 1002*l.\nAnswer: 88*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27 - -89031 - 45\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -322 + 171. Let l = w + 255. What is the remainder when l is divided by 51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Suppose 0 = 3*f - 7*f + 12. Let b(y) = -5 + 1 + 4 + 5 + f*y. Let k(x) = x + 2. Let l(t) = 2*b(t) - 5*k(t). Determine l(u(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -555 + 555. Put s, -10, -0.01 in descending order.\nAnswer: s, -0.01, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51554?\nAnswer: 2, 149, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1*(23 - (-575)\/(-46)). Let a(i) = i**2 + i - 2. Let g be a(-2). Put g, -2, 3, y in increasing order.\nAnswer: y, -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*a + 62, 2 = 3*a - 4*g - 44. Suppose -4*z = a - 30. Suppose l + z*l = 6. Sort 5, l, -1 in decreasing order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66006 divided by 5?\nAnswer: -66006\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 13 + 4*x**3 - 2*x**3 + x**4 in the form w + c*x**3 + o*x + i*x**4 + u*x**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3 - 22\/3*p + 5\/3*p**2.\nAnswer: (p - 4)*(5*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -34037*i**2\/2 + 37*i\/6 = 0.\nAnswer: 0, 37\/102111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 35, 74, 147, 266?\n\"Answer: 2*g**3 - g**2 + 6*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 864315311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, -6548, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 45*p**2 + 47*p + 78. Let n(x) = 450*x + 234. Let a(o) = 24*i(o) - 5*n(o). What is the derivative of a(y) wrt y?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + (-54)\/10. Let b be ((-6)\/(-4))\/(9\/18). Let k(l) = -l**2 + 1 - 5 - 7*l + b - 4. Give k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3382 + 5851. Is g a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941916 is divided by 4963?\nAnswer: 3909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*y - 43932047, 2*k - 2*y = -0*k - 29288030. Let l = -9744017 - k. Round l to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -95*i**3 - 15*i**2 - 61*i + 18. What is the hundreds digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 58956755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 6, 0.3, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4)\/(7\/(-49)). Let r(p) = -6*p**3 + 1. Let b be r(-1). What is the highest common factor of l and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(g - 5*g + 3*g)*((-5 + 2 + 2)*(-2 + 0 + 4) - 2 + 0 - 2).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5039.\nAnswer: 5\/5039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 15\/5)\/(-1*1). Suppose 3*s - 7*s + 10 = 3*u, -u + 7 = b*s. Solve -10 = -u*h - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110001110011010101 (base 2) to base 8\nAnswer: 1616325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 + 580310*v**2 + 3481878*v + 5222826.\nAnswer: -2*(v - 870471)*(v + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -4) + 17 + 4\/(-2). What is the units digit of f\/10*392\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 11*f**2 + 36*f - 166. Let r be l(9). Sort 111, 13, 4, r in increasing order.\nAnswer: r, 4, 13, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:05 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 4*g + 10*g + (-10 + 10 + 3*g)*(2 - 1 - 2).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 4:46 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 39. Suppose -m + 3*m + 8 = 4*b, -a*b + 5*m + 10 = 0. Solve b*i = -4*x - 10, 2 = -x + 2*i - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3*a - 6 = 0, -2*l - l - 4*a = -453 + 450 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3005*f - 138199. Give h(-46).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(13\/(-208)). Let m(u) = 28*u - 3. Is m(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*n + 48, -4*n + 5*c - 31 + 25 = 0. What is the least common multiple of 1324 and n?\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918\/715 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, 1 s, and 1 v when four letters picked without replacement from {o: 2, u: 1, s: 1, j: 2, z: 2, v: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:37 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.29432 years to millennia.\nAnswer: 0.01829432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k**5 - 3*k**5 - 2*k + 2*k**5 wrt k.\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -80*j + 1680. Let u be r(21). Let i = -81 - -114. Put i, u, -1 in descending order.\nAnswer: i, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 138\/15*(-65)\/(-26). Solve 98 = 34*k - l*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(171) + 3*1*sqrt(171)) - (sqrt(171)*2 + 4 - (sqrt(171) - (sqrt(171) + (sqrt(171) + 1)*5))).\nAnswer: -57*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167858 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhaaaa. Give prob of picking 1 a and 1 h.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - 55*p**3 - 286 + 145 + 53*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h**4 + 0*h - 5\/3*h**3 + 1 + 0*h**2 + 3\/5*h**5. What is the third derivative of y(i) wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180201269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 366893074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-80)\/8)\/140 - 9523\/2492\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w)**(-1\/28) assuming w is positive.\nAnswer: w**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let r = i + -2.3. Let w be 0 + 1*(-8)\/14. Which is the nearest to 0.01? (a) -3 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -379.6003678 to two dps.\nAnswer: -379.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 256. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 + 11*s**3\/4 + 23*s**2\/4 - 35*s\/4.\nAnswer: s*(s - 1)*(s + 5)*(s + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90958 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2*q**3\/3 - 5*q - 4. Differentiate d(y) with respect to y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-1)*(-48)\/(-36). Suppose -2*i + j = 4. Suppose -6*t = -2*t - 56. What is the least common multiple of i and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 41648922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 0 + (17 - 94) + 96\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282788 - -282796. Let d(a) be the third derivative of a**6\/120 - 7*a**5\/60 - 11*a**4\/24 - 7*a**3\/6 + a**2. Determine d(q).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 569.1996759 + -569.2. What is d rounded to five decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273 or 794577?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 + 71. Let p be -4 - -1*f\/(-16). Let d be 6\/20 - (-1)\/5. What is the biggest value in d, p, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, 0, -4\/7, 5\/2 in increasing order.\nAnswer: -4\/7, 0, 0.2, 0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5897331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1465, -1468, -1473, -1480, -1489, -1500?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 11. Suppose 5 - a = -5*m. Let d be (m - (-2)\/(-3))*3. Solve 3*x = -2*h + 9 - 4, 2*h = -x + d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -222519 and -222520 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 372, 815, 1424, 2193, 3116, 4187?\nAnswer: 5400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541370 is divided by 21653.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 328534805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72 + 21?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.47 + 6.47. Let j be 140\/30*48\/(-56). Put k, -4\/5, j in decreasing order.\nAnswer: k, -4\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Suppose -2*r - 4 = 3*s, 0*s + 4 = -o*r - s. Does 3 divide 1\/2 - 17\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66959 (base 11) to base 16.\nAnswer: 17ad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9715864 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 3:58 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5 - 42*v**4 - 544*v**3 + 3419*v**2 - 10 wrt v.\nAnswer: -120*v**2 - 1008*v - 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 732051474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.5614g in tonnes?\nAnswer: 0.0001025614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2181 + 3975 + 3405 - 2308 - 40*v wrt v?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4))**(-16) assuming j is positive.\nAnswer: j**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1159*g**5*r**2 + 3*g**2*r + 4*g**2 + 16*g*r**2 wrt g.\nAnswer: -69540*g**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/50 and 64\/805735.\nAnswer: 8057350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 227, 224, 221, 218?\n\"Answer: -3*c + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -7 + 17. Solve n*c = 14 - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - i + 0*i**3 - i**3 - 2 - i**2 to the form y*i**3 + t*i**2 + p + k*i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51.508 < 350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3488409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -0.4 (c) -2\/7 (d) 0.28 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:21 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*s + 1251 + 2016, -4350 = -4*k - 2*s. Suppose 2*m = 2*h + k, 3*m - 4*h - 2716 = -2*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -106*(-2 - (0 - 3)). Is (p\/(-6))\/(5\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19*p + 230. Give y(-10).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 9.3. Let f = i - 18. Let b = 11 + f. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5, 7*g + 2*k = 4*g + 31. Suppose 3*b = -2*w + 5 + 6, 4*w + b - 7 = 0. Let y be w\/(-3)*(-30)\/5. Solve 3*m = y*p - p + g, 4*p + 2*m = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137ca (base 15) to base 9\nAnswer: -104671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -20 (c) -45\/7012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82.5921 - 0.1079. Let n = 77 + d. Let q = -15.7 - n. Which is the second biggest value? (a) -0.3 (b) q (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - -17. Let t be (4 - 8)\/((-2)\/x). What is the highest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42927, -42926, -42925?\nAnswer: -42924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.1731?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 12:50 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 6, d: 11}. What is prob of sequence dq?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7492*q + 1445. Is b(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(-2 + sqrt(1573) + 1 + sqrt(1573) + sqrt(1573) + 1 + -4) + -3)**2*3.\nAnswer: -9504*sqrt(13) + 679968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 30 = -3*z. Suppose q - 5*y + z = 0, y = q - 5*q + 6. What is the hundreds digit of q - ((-3)\/4 - (-8145)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 12:58 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**3\/3 + 2*b**2 - 1. Let m(d) = -d. Let y(g) = 4*m(g) + u(g). Let n(o) = -43 - 35 + 82 - 4 - 2*o - o. What is n(y(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 8*i + 2*h + 64, 0 = -h + 2*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:47 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7292963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 9*g + 1. Let r be b(-9). Is 4 - 6\/r - -221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aa58 (base 15) in base 8?\nAnswer: -251264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f. Let b(l) = l**3 + 5*l**2 + 5*l + 2. Let d be b(-3). Solve f = -d*z - 2*i, 4*z - i = -0*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 60 = -3*t, -6*d + 2*d = t - 20. Suppose x = u + t, 0 = x + 2*u - 0 - 5. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3584917, 4, 0 in decreasing order.\nAnswer: 3584917, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.38005 to 1 decimal place.\nAnswer: -45.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -2\/3 (b) -4\/5 (c) -0.3 (d) -162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 12*b = -74*l - 49*b + 21*b - 2014, -l - 31 = -b for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33\/33*((-66)\/(-3))\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*v = -z - 425, -4*z + 820 = 4*v. Let p be (-1)\/(-1)*(-32)\/z. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 668\/44 - (-6)\/(-33). Is 6\/c - 132\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*p + 5*h - 250, -h - 115 = -2*p. What is the highest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - -29. Let h = -31 + f. Calculate the greatest common factor of h and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28140 divided by -7?\nAnswer: -4020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**3\/2 + r. Let a(y) = -6*y - 6*y + 15*y - 5*y. Calculate n(a(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311688628 is divided by 10565.\nAnswer: 10563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -2, 8, 22, 40, 62?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -648? (a) -79 (b) -3 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 + 4*v + 4. Let d(x) = -8*x**2 + 7*x + 7. Suppose -43*i + 45*i + 6 = 2*a, 4*i - 5*a + 8 = 0. Calculate i*q(f) + 4*d(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 3*m + 6*m + 10*m. Let t(c) = -135*c. Let u(l) = -5*l. Let o(q) = 2*t(q) - 55*u(q). Calculate o(y(j)).\nAnswer: 80*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 at most as big as 492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101952 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-90) + (-440)\/(-550)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492 and 216.\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/9 greater than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -363, -356, -347, -336, -323, -308?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) - (-60)\/35. Find the second derivative of -3*v**5 + 2*v**4 - a*v**4 - 14*v + 13*v wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199461?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-8 - -6) + (-6 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/213?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -639584 - -1508139011\/2358. Calculate the common denominator of f and 59\/36.\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -17. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)**(-6\/5)\/((j\/(j\/(j*j**1)))\/j**(3\/2)))\/((j\/(j**3\/j))\/(j\/j**6*j))**(-13) assuming j is positive.\nAnswer: j**(397\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = -52 + 103. Suppose -p + 13 = 4. Calculate the highest common factor of p and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1131*f + 31. Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11002102201 (base 3) in base 8?\nAnswer: -235172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*v**3 + 10*v**4 + 75*v - 75*v - 8*v**2 + 20*v**2.\nAnswer: 2*v**2*(v + 3)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, d: 3}. What is prob of sequence adad?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1411*w - 4343*w + 1688*w - 4122*w - 4246*w.\nAnswer: -12434*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 111 - 191. Suppose 3*g = -0*g, x - 29 = -g. Calculate the remainder when x is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 divided by -7?\nAnswer: 524\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 0.61126.\nAnswer: -2.38874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**8\/6720 - 29*y**5\/20 - 46*y**2 - 2. Let r(j) be the third derivative of u(j). Let i(d) = 15*d**2. Calculate i(r(g)).\nAnswer: 135*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1926 + 1874 - 3798 + 16*f**2. Let m(a) = 16*a**2. Determine m(b(c)).\nAnswer: 4096*c**4 + 1024*c**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 120066867, 120066856, 120066855, 120066870, 120066907, 120066972?\n\"Answer: a**3 - a**2 - 15*a + 120066882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + (3*sqrt(304))**2)*-1 - ((-2*(sqrt(1900) + sqrt(1900) + sqrt(1900) + 2 + sqrt(1900)))**2 + sqrt(1900)).\nAnswer: -124352 - 654*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u + 5. Let k = 22 + -4. Suppose 24*a - k*a = -30. Let i(b) = 3*b - 9 - 6*b - 6*b. Determine a*x(d) - 3*i(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/4)*g*g**(-6)\/g)**(2\/73)*((g*g\/(g\/(g\/g**1)))\/g)**22*g**(-1\/6)\/(g**(-3)*g) assuming g is positive.\nAnswer: g**(367\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sua when three letters picked without replacement from {a: 14, u: 1, s: 2}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 4*g**2 + g + 2. Let c be k(-4). Let s(m) = -m**3 + m - 1. Determine s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74, 152, 230, 308, 386, 464?\n\"Answer: 78*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 6:07 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.45 - -0.3. Let s = -0.23 - k. Let j = -3.92 + s. Sort 1, 4, j in increasing order.\nAnswer: j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhnhhn. Give prob of picking 1 n and 2 h.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/4 (b) -4 (c) 0 (d) 7\/6 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 13) to base 11\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(2\/7)\/c))**(-4\/27)\/(c**(4\/11))**(-41) assuming c is positive.\nAnswer: c**(10156\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 10 = 5*z, 4*z - 20 = -w - 2. Suppose z*m + 30 = 9*m. Suppose 0 = -m*k + 3*k + 72. What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(4\/(-32) - 0) + 1. Let i be y*(2 + 8\/12). Let f be 195\/(-26)*i\/6. Solve -f = 5*g - o - 4*o, 0 = g - 4*o + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1403, -2790, -4177, -5564, -6951, -8338?\nAnswer: -9725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*s - 125 = 138*s. Solve -4*q + s = -9*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*y**2 + 1952*m**3*y - 111*m**2*y**2 - 25*m - 2*y**2 wrt m.\nAnswer: 6*y**2 + 11712*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 9, -153, -453, -933, -1635, -2601, -3873?\nAnswer: -5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 5*m**2 + 2*m - m**2 - 4*m**2 - 24 in the form h*m**2 + a + v*m and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 20*k**2 + 3*k - 3. Let j(i) = 19*i**2 + 2*i - 2. Let o(n) = -3*j(n) + 2*z(n). Let x(r) = -r. Calculate x(o(u)).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - 5*(-4*sqrt(76) + sqrt(76)))\/((sqrt(32) - -4*sqrt(32))\/sqrt(8)).\nAnswer: 16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**5 - 4*q**4 + 3*q**2 - 4. Let l(z) = -2*z**5 - 5*z**4 + 4*z**2 - 5. Let f(j) = -5*g(j) + 4*l(j). What is the third derivative of f(h) wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 226954*v - 1588674. Calculate k(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4382*f**2 - 36*f - 315 wrt f.\nAnswer: -8764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65144?\nAnswer: 2, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064055 to the power of 1\/2, to the nearest integer?\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Suppose -5*y = o - 24, 3*o + w*y - 6 = -o. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1182, -1171, -1138, -1071, -958, -787, -546, -223?\n\"Answer: 2*o**3 - o**2 - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38274 = 881*g + 1262*g + 15301 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -0.08.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 265 + -413. Let a = -143 - f. Calculate the highest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/36)\/((-747)\/(-13446))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/30 - p**4\/6 + p**3\/3 + 2*p**2. Let y = 6 - -9. Calculate the remainder when y is divided by q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 412 and 22.\nAnswer: 4532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6015*y**3 - 5999*y**3 + 12015*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:15 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1 - (-30 - -24)) + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.5 (c) -33\/2 (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -908878 + 345762?\nAnswer: -563116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-890)\/(-130) - (15 + -8)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -18. Let j = k - 10. Solve -6*t + j*t + 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -706977*d - 77041.\nAnswer: -706977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 w, 1 n, and 1 x when four letters picked without replacement from {z: 1, l: 2, w: 5, q: 5, n: 1, x: 5}.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.112 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 32 = n. Let m be 1 + 1 + 0 - 38. Let v = m - -67. What is the remainder when v is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -837 * 74\nAnswer: -61938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 114*q**2 + 0*q - 3*q - 107*q**2 + 65 wrt q?\nAnswer: 14*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -2128?\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 8*x = 96, -184*u + 2*x - 16 = -181*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.2 (c) -1\/55 (d) 0 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5147 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34574.04 kilometers?\nAnswer: 34574040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o = 0. Suppose o = 3*a + 6, -2*a = -3*n + 6*n - 323. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 349*q**3 - 14*q**2 + 6*q - 14. Let r(s) = -116*s**3 + 5*s**2 - 2*s + 5. Let o(t) = -11*r(t) - 4*u(t). Let i be o(1). Round i to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2467150259 to the nearest integer?\nAnswer: 49670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 1\/5 (c) -0.3 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.55994 - 0.55965379. Round v to 6 dps.\nAnswer: 0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + q - 26 = 0, -9*f - 319*q - 325 = 14*f - 324*q for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(3\/14)*t**(-28)*(t**(11\/4))**17 assuming t is positive.\nAnswer: t**(587\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/20 - 17*h**4\/12 - 8*h**3\/3 - h**2\/2 - 4*h. What is the units digit of o(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2670 = -122*i + 1329 - 2657 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*j - 69*j + 358*j + 6*j**2.\nAnswer: 6*j**2 - 33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = -2*u, 4*u - 4*i = 3*u. Suppose j + u = 19. Determine b so that -j + 15*b**2 - 3*b + 5*b**3 - 2*b - 5*b + 5*b = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13 = 1. Let i be t\/24 + (-30)\/(-8). Let h(g) = g + 5 + 3 - i. Determine h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 0.1, 5, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.41*-7481\nAnswer: 3067.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0723 * 0.5.\nAnswer: 0.03615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0*j**3 + 0*j + j - j**3 - 3*j**2. Suppose -2*i - 1 = 5. Determine g(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302895 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -358*m**3*u - 19*m**3 + 130676*m**2 + 42*m*u + 6*u with respect to u.\nAnswer: -358*m**3 + 42*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/9, 0.1, -2\/3, -1058, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-6) + -1 + (-4 - 14\/(-3)). Factor -4\/7*z**t + 2\/7*z**4 + 288\/7 + 48\/7*z - 46\/7*z**2.\nAnswer: 2*(z - 4)**2*(z + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162589, 3, 18\/19 in decreasing order.\nAnswer: 3, 18\/19, -162589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (70\/(-88) - 24\/(-44))*-8. Let i(w) be the first derivative of -3\/10*w**p + 4\/15*w**3 + 9 - 1\/5*w. Factor i(g).\nAnswer: (g - 1)*(4*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 5 (c) -4 (d) 287 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -23*k**3 - 3*k**2 + 21*k + 46. Is r(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 2*n + u, n = 6*n - 3*u + 312. Let w be ((-1)\/(-3))\/(7\/n). Let a = 24.096 - 24.096. What is the biggest value in a, 2\/17, w?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55796)\/(-8004) - (9 + 1 + (0 - 3)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -292*w**5 - 65708*w**4 + 820180*w**3 - 1979140*w**2 + 1190832*w + 34128 = 0. What is w?\nAnswer: -237, -2\/73, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 58. Let v = a - 1. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 + 15078*d**2\/5 + 33208*d\/5 + 3624 = 0.\nAnswer: -6\/5, -1, 1510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - 155. Let p = -50 - d. Let w(y) = y**3 - 15*y**2 + 1. Let g be w(15). Put g, p, -12 in ascending order.\nAnswer: -12, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4236217.\nAnswer: 79, 53623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 c when three letters picked without replacement from iiiiixxihiici?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4) + 2)*0. Suppose u = -3*s + 20 + 16. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 2*o**2 + o**3 + 3*o**2 + 6*o**2 + 2 - 5*o. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2*(-18)\/(-8) + -4). Let x be 4\/12 + (14\/3 - k). Suppose 0 = -x*f + z - 0*z + 193, f = -3*z + 61. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/(-11))\/((-168)\/(-84)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(-h**3 + 5*h**3 + h**3) + 0*h**2 + 3*h**3 + 0*h**2 + (0 - 2*h**3 + 0)*(0 + 0 - 4) in the form o*h**3 + n + v*h**2 + j*h and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 281401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1944 = 3126*p - 1555*p - 1607*p for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 2*i**2 - 5*i - 3. What is the units digit of v(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 851 and 148787?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13945224 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 2. Let m(o) = 13*o + 11. Is 20 a factor of m(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 3, t: 5, n: 1, k: 3, j: 1}. Give prob of sequence tkn.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*m**2)*(1 - 3 + 0)*(-10197 - 10817 - 1161 + 1694) + 3*m**2 + 2*m**2 - 7*m**2 to the form h*m**2 + j + z*m and give h.\nAnswer: 81922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3187510.92 and 0.4.\nAnswer: 1275004.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -6bcb29?\nAnswer: -6bcb28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + c - 2*c**2 + (3*c + c - 2*c)*(2 - 2 - 2*c))*(-10 - 11 + 1)*(-17 - 21 + 49) to l*c + p + s*c**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/5))**(-14)\/((l**(-6\/11)\/l)\/l**(11\/2)) assuming l is positive.\nAnswer: l**(-149\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 2342?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t - 7. Let r be c(-5). Let p be (-4)\/18 - (-274)\/r. Suppose -2*m = 3*w - 233, 3*w - 22 = m + 199. What is the highest common divisor of w and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(6\/1343)*-12?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1485.2 + -1485. What is the second smallest value in s, 5\/3, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8085 + 10274. Which is the closest to -2\/5? (a) w (b) 0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000761230274 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -43.543 - 0.4\nAnswer: -43.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 + 8*l. Let a(x) = 5*x - 791. Give u(a(h)).\nAnswer: 225*h**2 - 71150*h + 5624801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*i**2*u**4 + 427465*i**2*u**2 + 53541848*i**2 wrt u.\nAnswer: 64*i**2*u**3 + 854930*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-3))\/((-4)\/18). Let q be ((-23)\/d)\/(4\/12). Is q smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 5*k - 72. Let y = -85 + k. Solve 2*b - 8 = -y*l, -5 = -4*b + 4*l - 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let b(i) = -2*i + 3. Let h(g) = 2*b(g) - 5*q(g). Suppose -16 = -4*w - 4*s, 3*w = -2*w - 2*s + 8. Let m be h(w). Let t(l) = 5*l. Give t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.050008 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 6. Let u(k) = 22*k - 6. Let g(t) = 38*t - 9. Let h(p) = 5*g(p) - 8*u(p). Calculate f(h(i)).\nAnswer: -42*i - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2096, -10, -5, 5, -3 in decreasing order.\nAnswer: 2096, 5, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4642, -4640, -4638?\n\"Answer: 2*k - 4644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k = a + 9, -2*k - a = -3. Factor 2*q + 2*q**2 + q**3 + q + k*q**2 + 0*q**3.\nAnswer: q*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 26838 + 7566. What are the prime factors of i?\nAnswer: 2, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 192*h + 83 = 195*h, 0 = -5*c + 2*h + 415. Solve -3*j - 3*r - c = -86, -7 = -3*j - 5*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2867\/186 - -67\/62. Let f be (-3)\/(-2)*1*10. Let p = z + f. Which is the nearest to 0? (a) -1\/12 (b) p (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59366947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6715702482 minus 2520?\nAnswer: 6715699962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2477 divided by -212\nAnswer: -2477\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, -14, 7, 62, 163?\n\"Answer: 2*p**3 - p**2 - 12*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -22 - (0 + -2) - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3374729387?\nAnswer: 251, 13445137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1213, -0.5, -3\/4, -2\/7 in decreasing order.\nAnswer: 1213, -2\/7, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25645565?\nAnswer: 5, 11, 466283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*o + 61 + 49, 32 = t + o. Let x(g) = g - 78. Let v be x(15). Let j = v + 71. What is the remainder when t is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31617*s - 221324. Determine r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 4*t**2 + 11*t - 33. Give i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 681210457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6 + 0*j - j to the form v + a*j and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 + 2 = 3*p, -40 = -4*n + 5*p. Suppose -3 = -n*t + 3*o, -2 = 5*t + o - 1. Suppose -2*f - 3*f + 15 = t. Solve 5*c - 17 = f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.251 + 10.089. Let s = 10 - q. Let v = s + 0.04. Sort 3, -2\/9, v.\nAnswer: v, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10072*r + 2320 = -9840*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2 + 1. Suppose -12 = 4*l + 4*c, -5*l + 3*l - 5*c = 12. Determine p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 6*z + 114 = 0, 0*i + 2*z - 2 = 2*i - 0*i - 22 - 30 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 7982240*z**2 - 31928972*z + 31928976.\nAnswer: (z - 2)**2*(z + 7982244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.2 - -12.8. Which is the third smallest value? (a) 2\/5 (b) t (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 + 215. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*r**3 + 25458432*d*r**2 + d*r - 3836*r - 269 wrt r?\nAnswer: -6*d*r + 50916864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:44 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(-1*sqrt(3)) - sqrt(27)*-1) + sqrt(3) + (sqrt(3) - (sqrt(75) + 4))**2 + 4 + sqrt(3) + sqrt(3) + 4 + -5.\nAnswer: 37*sqrt(3) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 63. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -624 (base 12) to base 2\nAnswer: -1101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6) + -4 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Suppose -2*k + 264 - 266 = 0. What is the nearest to f in 3\/2, k, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**4*v))**(-1\/24)*v**(1\/2)\/((v*v\/v**(1\/14))\/v) assuming v is positive.\nAnswer: v**(-11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 8 - 8)*(s - 1 + 1)*(2 + 2 - 2) - s**2 + 4*s**2 + 0*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = 2*g, 0 = -2*g - 5*k - 13 + 2. Suppose -10 = 2*n - 4*s + g, -n - 7 = -s. Let x = n + 9. Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(108) + (sqrt(108) - (sqrt(108) - (2 + sqrt(108)*-2))) - (sqrt(108) + 3*(sqrt(108) + 1))) + 0)**2 + -1.\nAnswer: 60*sqrt(3) + 2702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -118*d + 972. Calculate h(10).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1574*j = 5*f + 1562*j + 221, j = -5*f - 182 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2725167 (base 12) to base 7.\nAnswer: 122664640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i**3 - 4*i**2 + 2*i - 1. Let l be j(3). Suppose 3*q + 269 - l = 0. Calculate the remainder when 59 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let n(j) = j**2 + j + 1. Let y(v) be the first derivative of 3*v**3 + 6*v**2 + 12*v + 78252. What is p*y(z) - 12*n(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:19 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g**2 + 5*g - 3. Let l be j(-4). Let u = -12 - l. Let v = 400 - 396. What is the remainder when u is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*387\/(-45)*44\/((-2904)\/110)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 54. Let k = -18 - x. Which is greater: 2\/9 or k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.378? (a) 0.4 (b) -6 (c) 9 (d) -1\/46 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f - -4?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.8 minus -58290?\nAnswer: 58268.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(13) - (sqrt(13) + 6*sqrt(13)*-4)) + sqrt(13) + -1 + 1 + (-3*(sqrt(78)*-3 - sqrt(78)))\/(sqrt(216)*-5))**2.\nAnswer: -492*sqrt(13)\/5 + 196777\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m - 8. Let f = 19 - 16. Let h(d) = -3*d - 9. Let q(g) = f*k(g) - 2*h(g). Factor q(r).\nAnswer: 3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2. Suppose 25 = -0*j + 5*j. Let m(o) = -7*o + 5. Let h(v) = 10*v - 7. Let f(z) = j*h(z) + 7*m(z). Give w(f(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27322 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27777332 = 3*j - 21572692. Suppose 5*l - j = 2*h, -8 = h + h. What is l rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68 and -0.03206848.\nAnswer: -2.18065664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 29*c - 13. Calculate f(12).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9535 divided by -5988\nAnswer: -9535\/5988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/5))\/((s**(-14)\/s*s*s)\/s))\/((s\/(s*s\/(s\/(s\/s**7))))\/(s*s\/s**(-1\/7))) assuming s is positive.\nAnswer: s**(383\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*f*n*q**2 - 3*f*n*q - f*n + 4*f*q**2 - 4*f*q + 13*f + 41*n*q**2 - 15*n*q - 53*n + 1503*q**2 - 14*q wrt q?\nAnswer: -306*f*n + 8*f + 82*n + 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-30)*(-4 - 12 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146.443 - 146. Let d = n + 0.057. What is the third biggest value in -4, d, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-42)\/(-105))\/((-4)\/(-10)))\/(-1 + 0). Put 3, 4, d, -240 in decreasing order.\nAnswer: 4, 3, d, -240","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(((-168)\/(-32))\/21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97737215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.03 (c) 5\/4 (d) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.779632 centuries in years?\nAnswer: 477.9632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 23 + 3 = 4*h, -40 = -5*h - 5*o. Let n be ((-12)\/(-1))\/((-5)\/(-20)). Suppose 3*c - n = -c. Solve c = y + 4*z, -h*y + 4*z + 4 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/36 - 321\/(-4) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {a: 2, k: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*x**3 + 6*x**2 - 2 + 3*x**4 - x**4 + x**4 + 3*x + 3 to the form u*x**3 + b*x**2 + r*x**4 + y + i*x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.612412t?\nAnswer: 9612412000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*y + 0*y - 10 = 0, -5*y - 10 = -3*x. Suppose x = -a + 5*a + 328. Let w = 175 + a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184912610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 20. Let x(d) = -114*d. Let a be x(c). What is the tens digit of a\/(-18) - (-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 622 and 458.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*k + 19*k**3 - 20*k - 14*k - 95*k**3 wrt k.\nAnswer: -456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (4 - 40)) + -5. Let v be (-204114)\/h - 1\/6. Round v to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1045 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 36*d + 4. Let k be q(5). Suppose -6*o + k = 2*o. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a3 (base 13) to base 5\nAnswer: 20231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t = 0. Solve -2*k - 2*k = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12239 and -0.1.\nAnswer: 12238.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l**3\/7 + 204*l**2\/7 - 333*l\/7 + 54\/7 = 0.\nAnswer: 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -650988800 rounded to the nearest one million?\nAnswer: -651000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77605076?\nAnswer: 2, 19401269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -5709 + 45355\/8. Let c = d - -40. Put 4, -2\/13, c in decreasing order.\nAnswer: 4, c, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27862600618 - 27862600810.99999843. Let n = 193 + o. What is n rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:14 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r + 139 = 91 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1510 divided by 1571.\nAnswer: -1510\/1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 814441 to the power of 1\/2, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -11.806?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -938730 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1094 - -1099. Let i(g) be the second derivative of 3\/20*g**x + 0 - 3\/2*g**2 - 3\/4*g**4 - 9*g + 3\/2*g**3. Factor i(r).\nAnswer: 3*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1. Let o(g) = g. Let d(x) = j(x) + 3*o(x). Let n be d(2). Solve 8 = n*k + 33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -1\/6 (c) 3 (d) 8\/11 (e) -3039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*q + 42 = 6*g, -5*q = 5*g - 30. Suppose j + 10 = 2*r, -2*r + 4*j + g = -0*r. Suppose -r = -2*t + t. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(12\/(-9)) + -3. Let g = 808\/133 + -110\/19. Factor g*n**4 + p*n**3 - 2\/7*n**2 - 1\/7*n + 1\/7*n**5 + 0.\nAnswer: n*(n - 1)*(n + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4007? (a) 2\/41 (b) 6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**2 - 2 + 1 + 0*d**2 to o*d + h + k*d**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1058*t = 6147*t - 325696 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 14. Let l be n(4). Suppose 0 = -2*s + 26 - l. Calculate the greatest common factor of s and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266 + 586. Round q to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24492.\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6714, 13396, 20112, 26880, 33718, 40644, 47676?\n\"Answer: 3*y**3 - y**2 + 6664*y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 2*j - 2. Let b be p(-2). What is the least common multiple of (-10)\/15 + 28\/b and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20678 and 8862?\nAnswer: 62034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32655791 divided by -759437\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ca38 (base 13) to base 16.\nAnswer: -dd56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 29. Suppose 34 = -v*u - 4*b, 6*b = 2*u + 4*b + 58. Let t = 36 - u. Is t at most 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7989.3541 + 7989. What is j rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let v(s) = 29*s**2 - s - 1215. Determine v(t(c)).\nAnswer: 29*c**2 - c - 1215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p*p*p**(-2)))\/p)\/p)\/(p**(-2\/3)*p)*(p\/p**0)**33*(p**0*p**(2\/11)\/p)\/((p*p*(p\/(p**(-1)\/p))\/p*p)\/p**(-7)) assuming p is positive.\nAnswer: p**(655\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 260\/156 + (-113885985)\/(-9). What is g rounded to the nearest 100000?\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296160 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001176131 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*((-60)\/70)\/(4\/(-7)))\/((-105)\/(-70))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 94734\/11 (b) -0.1 (c) -1 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -815 + 969. Sort -5, -2, q in ascending order.\nAnswer: -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/278 and 1\/5*-1*(-59)\/((-15576)\/(-22220))?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 1. Let l = -4.09 - f. Let i = -2.91 + l. What is the nearest to 0.1 in i, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-48)\/304*20\/300)*(-1)\/10\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 1\/4*d**4 + 2*d**2 + 0 - d**3 + 0*d. Let o(p) = 5*p - 6. Let v(s) = -4*o(s) + 3*t(s). Determine v(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/145 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 0.09747901?\nAnswer: -6.09747901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214 - -215. Put 14, 2, -2, u in decreasing order.\nAnswer: 14, 2, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93927860 a multiple of 2990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = v - 49, 0 = -4*v - 0*g + 3*g + 197. Suppose -4*r = -b + 155, -4*r - 2*b + 0*b = 170. Let m = r + v. Solve 4*p + 20 = 2*y, 5 = -3*p - 4*y - m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.285 - 1.285. Let i = -1.4 + -1.6. What is the second biggest value in 0, -0.11, i, a?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*s + 1264*s - 1570*s**3 - 861*s.\nAnswer: -1570*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134457*f*i**2 + 49199*f wrt i.\nAnswer: 268914*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45137*y**2 + y + 17112 wrt y.\nAnswer: 90274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.73*0.054\nAnswer: 0.14742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-533 - -540) + 7 + -6 + 38.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 19*r**2 + 2. Let g be a(19). Put 5, 3, -23, g in increasing order.\nAnswer: -23, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrrrrbrrbbrrr. Give prob of picking 3 r.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25253046 (base 7) to base 14\nAnswer: -4358cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 15*v**2 - 4*v - 1. Let n(h) = -h**2 + 2*h + 1. Calculate 2*n(b) + r(b).\nAnswer: 13*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136753 not equal to 1136752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w*w\/(w**(1\/9)\/w*w)*w\/w**(1\/3)*(w*w\/(w*w\/w**(2\/7)))**(-29) assuming w is positive.\nAnswer: w**(-172\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.457 * 11.4.\nAnswer: 5.2098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -5ba9?\nAnswer: -5bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 8478759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11231204 - -1002?\nAnswer: -11230202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 5701 = -5902. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**3 + 2*d + 1704 + 5*d**3 - 1702 + 110*d**4 in the form p*d**3 + m*d**4 + s + l*d**2 + y*d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539202, -539205, -539208, -539211, -539214?\nAnswer: -539217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -83 (c) 4\/9 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*o**2 + 0 + 0 + 0.\nAnswer: -111*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + -4 + 1 + 2*-5*(sqrt(99) - (-3 + sqrt(99) + 2))))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:17 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.7 - 41.7. Suppose -2*i + 3 + 1 = 0. Which is the third smallest value? (a) i (b) o (c) -3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -32*x. Let v(u) = 21*u. What is 5*a(j) + 7*v(j)?\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4764.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 25 = 30 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 + 99\/21. Suppose -2*u + 42 = -4*a, -u - y*a = -0*a + 14. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56822, -113648, -170464, -227264, -284042, -340792, -397508?\n\"Answer: r**3 - r**2 - 56830*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1330 = 10*p + 4*p. Let k = p + 5. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r + 4*v = -32, 0 = 2*r - 2*v. Let d(m) = 383 - 128 - 5*m - 134 - 127. Calculate d(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -127 (b) 989 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881117 is divided by 275?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u - 9 - 16 + 53 - 2 + 46.\nAnswer: -35*u + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-4040)\/(-810) - 5). Suppose 0 = 71*q - o*q - 80. Let n(m) be the first derivative of m**2\/2 + 4*m - 2. What is n(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 6*v - 3*k, 8*k - 12 = -4*v + 12*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = l + 4*l - 1577, 0 = 5*p + 5*l - 3905. Calculate the highest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2916004, 5832007, 8748022, 11664055, 14580112?\nAnswer: 17496199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o**3 + o**2. Let w(q) be the third derivative of q**2 + 0 + 0*q**5 - 1\/120*q**6 + 0*q**3 + 55*q + 0*q**4. What is d(v) - 4*w(v)?\nAnswer: -7*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 401 + -376. Suppose -4*n + 1454 = -2*y, 9*y - 4*y + m = 0. What is the remainder when n is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 17, -2, 3 in descending order.\nAnswer: 24, 17, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 403*o**2 - 403*o**2 + 9 + 6 + 3*o**3 - 4*o**3 as i*o + q*o**3 + t + s*o**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -347957 - -348028. What is the remainder when z is divided by (-3)\/9 - (-92)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 3*o + 17 + 0*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2642*l - 10582. Give h(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11640*c + 58197. Calculate x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 925783321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24440\/7 - 2493601\/714. Let i = 94007\/6 + -15663. Find the common denominator of i and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/(-7791)*27\/9\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 867, 1298, 1727, 2154, 2579, 3002?\nAnswer: 3423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2361845395 to the nearest integer?\nAnswer: 48599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 14*x**2 + 2*x - 37. Calculate c(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (-183)\/21)\/((-3)\/(-18)*-4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + c - 7*c + c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 63\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-57*o + 4*o - 7*o)*(1 + 0 + 1) to the form j*o + t and give j.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i - 17. What is the tens digit of b(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14427.1174 to the nearest integer.\nAnswer: -14427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-100)\/(-175))\/(1\/(-7)). Let g(u) = -2*u**2 - 4*u + 20. Let n be g(z). Solve -19 = -5*d - n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 111, 226, 341, 456, 571, 686?\n\"Answer: 115*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l*(l*l**(-2\/7)*l)\/l)\/l*l)\/l)**(2\/129))**(2\/17) assuming l is positive.\nAnswer: l**(16\/5117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 15\/45073154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 15\/(-6))*-4. Suppose -15 = 3*f, -p = -2*l - 2*f - 4. What is the second derivative of 2*u - 10*u**l + u**4 - 6*u - 6*u wrt u?\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.04942 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1*sqrt(99))\/sqrt(9) - (sqrt(891) - sqrt(891)*2)))**2*-5 + ((4 + sqrt(44)\/sqrt(4) - sqrt(99)\/(1*sqrt(9)))*1 + -1)**2.\nAnswer: -3511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 72*s + 455. What is g(-63)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 + 3*v**2 + 8. Let y(f) = 11*f**3 - 5*f**2 - 15. Let d(c) = -5*q(c) - 3*y(c). Find the first derivative of d(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 4, e: 3, i: 5}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138785, 277625, 416465, 555305, 694145?\nAnswer: 832985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/g)**(-18)\/(g**(-3)\/g*(g*g\/(g*g*(g*g**(2\/33)*g)\/g))\/g) assuming g is positive.\nAnswer: g**(2576\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3)*t)\/t**3)\/((((t*(t*t**(-7))\/t*t)\/t)\/t)\/t**3))\/((t\/(t**(-2\/7)\/t))**27*(t**0)**(6\/13)) assuming t is positive.\nAnswer: t**(-397\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1, 8 in increasing order.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1080990, -2161957, -3242924?\n\"Answer: -1080967*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 73145.33 nanograms in tonnes?\nAnswer: 0.00000000007314533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*y**2 - 7*y + 579 wrt y?\nAnswer: 60*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51\/15 + ((-8)\/20)\/1. Let g = 53 - 27. Suppose -3*h + 45 = 5*q - 8*h, 3*h = 5*q - 43. Solve 0 = 3*p - 5*o - 28, p - q*o - g = -x*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47133765, 47133757, 47133749, 47133741?\n\"Answer: -8*u + 47133773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m**(-4\/9)*m)\/m*m)\/(m*(m\/(((m*m**(-2\/3))\/m*m)\/m)*m)\/m*m)*m**(4\/7)\/m**(-1\/12))**(2\/17))**25 assuming m is positive.\nAnswer: m**(-9175\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1443413455 - -41?\nAnswer: -1443413414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -353, 16, 85 in descending order.\nAnswer: 85, 16, -3, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, i: 3, s: 1, r: 3, u: 1}. What is prob of sequence mmur?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3849, 14086, 31197, 55188, 86065?\n\"Answer: d**3 + 3431*d**2 - 63*d + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5 + v**2 + 9*v - v**2 - v**2. Let a be y(9). Put a, 2, -3 in decreasing order.\nAnswer: a, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 198734 = 6*m + 198515, -5*m + 173 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-29776\nAnswer: -29776.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 17*h**2. Let x = -194 - -245. Let z(n) = -4*n + 50 - 101 + x. Give g(z(m)).\nAnswer: 272*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/(-12) + (30 - -1). Let d be (10\/6 + -2)\/((-1)\/c). Let j = 82 - 34. What is the highest common divisor of d and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 115?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-1)\/(-2)*-2. Suppose -g*q + 183 = 5*x - 4*q, -138 = -4*x - 2*q. Factor x + s - 34*s**2 - 6*s + 38*s**2 - 19*s.\nAnswer: 4*(s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/8 and 26\/12 + -2 - 884\/(-2418).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 5387590*f\/3 - 5387587.\nAnswer: -(f + 3)*(f + 5387587)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/4 (b) -77 (c) 0.5 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110300 (base 4) in base 8?\nAnswer: -22460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*b - 90*b - 60. Let p = -9 - -17. Suppose -4*x - 12 = 0, p = 5*y + 7*x - 3*x. Sort 1, y, 5, b in descending order.\nAnswer: 5, y, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70475 is divided by 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 4*t + 11*t to b*t + j and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, -0.3, -10 in ascending order.\nAnswer: -111, -10, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:26 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/28654 - -42979\/57308. Factor 3\/2*o + 0 + d*o**2.\nAnswer: 3*o*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6914*i + 3 - 3 + 7103*i. Let j(m) = 6 - 6 + 0 + m**2. Determine n(j(r)).\nAnswer: 189*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643400 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 1987 - 6156 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 27 = 33. Put k, 2, 5, 3 in descending order.\nAnswer: 5, 3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37172 is divided by 413.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {s: 1, d: 11}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.71821 to two decimal places.\nAnswer: -8.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20073.7569 rounded to the nearest one hundred?\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**3 - 2*n**2 - 2*n + 43. Let i(u) = 13*u**3 - 5*u**2 - 5*u + 85. What is -2*i(b) + 5*x(b)?\nAnswer: 4*b**3 + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 803826818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/4, 1\/9, 27 in decreasing order.\nAnswer: 27, 5, 1\/4, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -102, -105, -108, -111?\n\"Answer: -3*v - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + p. Suppose 5 = -3*c + c - f, 2*c = p*f. What is the units digit of 1 + (2\/(-2) - c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*q - q - q - 5*q**4 + 4*q**2 + 48*q + 16*q to u*q**2 + i*q + z*q**4 + n + m*q**3 and give i.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. What is the common denominator of -22 and (-12)\/((-18)\/s) + (-79)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2527 divided by -7.\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(1053))*1 + 2.\nAnswer: -1 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23183 and 20554.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 195 + 489 = 0. Calculate the remainder when c is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-6)\/136)\/(9\/1044).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 2. Let x(q) be the first derivative of -2*q + 1. Let m be 2\/(-6) + (-68)\/12. Let i(y) = 2*y + 9. Let t be i(m). Give t*x(k) + 2*w(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -47 + 1\/7*a**4 + 30\/7*a**2 - 12\/7*a**3 - 4*a. Let t(r) = 0. What is r?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 77077?\nAnswer: 616616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9)*-1)*-2 - ((sqrt(104) + 4*(sqrt(104) + sqrt(104)*-2 - sqrt(104)) + sqrt(104))\/sqrt(8))**2.\nAnswer: -468 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bc + -379182?\nAnswer: -379271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = -714. Let a = 501 + n. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(2 - 8)*-297. Let m = 515 - h. Calculate the remainder when 86 is divided by (m\/4)\/4 + -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2672337345506 + 1.\nAnswer: -2672337345505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030276 rounded to five decimal places?\nAnswer: -0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7*o + 8*o = 66, 0 = 5*q + 5*o - 70. Let n be (10\/8)\/((-2)\/(-16)). Let r = q - n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 14, -0.05, -63460, 2\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.016087ms in days?\nAnswer: 0.0000009955565625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287 - 285.13. Let u = x + -1.87136. Round u to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -37*r**2 - 29*r**2 + 72*r**2 - 3 + 82*r**3 - 84*r**3 - r. Determine o(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-136)*(-7)\/(91\/(-6305)). Let j = -117\/17 - g. Determine h so that j*h**2 + 4*h + 16 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 4*z. Let b = 68 + -60. Let x(f) = -5*f - 2*f**3 - 5*f**2 - b*f + 3 + 3*f + 15*f. Let o be x(-3). Give n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/20506824 and -111\/14.\nAnswer: 143547768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyyyyyyqqqyyyq. What is prob of sequence qq?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 32890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59\/6 - 10. Let b = 0.02 + -0.22. Let d = -3.26 + 2.26. What is the closest to b in 5, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -33*c + 771. Give u(25).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j. Let g(z) = 2*z. Let n(a) = -9*g(a) + 4*k(a). Let h(l) = -16*l + 5. Let u(r) = -18*r + 6. Let s(q) = 6*h(q) - 5*u(q). What is n(s(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 39, 1489, 0 in ascending order.\nAnswer: -4, 0, 2, 39, 1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(18))\/sqrt(9) + sqrt(2) + -1.\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 1 + 9)*(3 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-5))\/(4\/10). Let m = -6 + 8. Let a(u) = -2*u - m*u + 3*u**t + 3*u. Determine a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k**2 + 2. Suppose 7 + 7 = -2*a. Let b = a - -10. Suppose -1 = l - b. Determine y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-9))\/(4\/(-6)). Let a be 20\/w + 31*-1. Let o be 48\/a - (-12)\/(-54). Sort o, 4, 2 in increasing order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9448 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:25 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w\/(w*w**(-1\/2)*w)*w*w))*w**(-2\/19))**(-18)\/((w**0)**(-39)*w*w\/(w\/w**6*w)*w*w*w**6) assuming w is positive.\nAnswer: w**(-1085\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 8\/((-32)\/(-2))*-18. Solve -11*m = -p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 - 218*h + 23762.\nAnswer: (h - 218)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 7*p**2 + 12*p + 5. Let l be (1*-1)\/1 + 27\/(-9). Let z be h(l). Let r be z\/10 + (-3)\/(-6). What is the third biggest value in 1\/4, r, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(-5*(-1 + sqrt(1053)) - (1 + sqrt(1053) + 5)**2)*-5*-4.\nAnswer: -216800 - 30600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Let j be 2\/f + 6\/4. What are the prime factors of 4 + (4 - j - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 15411246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 3*s + 24. Let b(h) = -19*h + 3. Let z be b(s). Is z - 5\/(15\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 402, 1140, 2382, 4128?\n\"Answer: 252*b**2 - 18*b + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*m + 367, 1088 = -u + 4*u - 2*m. What are the prime factors of u?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddwddwdddddd.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*c - 47 + 47 = 0. Let y(g) be the second derivative of 0*g**3 + c - 14*g + g**2 - 13\/6*g**4. Differentiate y(l) wrt l.\nAnswer: -52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14542?\nAnswer: 2, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2145, -1642, -1139, -636?\n\"Answer: 503*o - 2648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2688)*3)\/sqrt(6) + -4)*6 + 0.\nAnswer: -24 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -325302 (base 9) in base 15?\nAnswer: -3c7de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 81969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1291115 + 137.\nAnswer: -1290978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-4))\/(12 - 3885\/220). Is 0 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*k + 51, -5*k = 257*l - 260*l - 37. Find w, given that -12\/7 - 4\/7*w + 1\/7*w**k = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97439 or 97437?\nAnswer: 97439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 11) to base 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2)*(-1 + 3). Suppose -162*y + 160*y + 4 = 0. Sort y, p, -2 in decreasing order.\nAnswer: y, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(98) + (sqrt(98) - (sqrt(98) - (sqrt(98) - (sqrt(98) - (3 + sqrt(98))) - sqrt(98)))) + 4 + 1*3*(sqrt(98) - (3*sqrt(98)*2 + sqrt(98))))**2.\nAnswer: -1960*sqrt(2) + 39249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(2\/4). Find the common denominator of 101\/2 and n\/(-4) + (-37)\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486193 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27626172 and 9866490?\nAnswer: 138130860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -57*w**2 - 80*w + 29. What is c(-2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 83?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4061312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13404 (base 7) to base 4.\nAnswer: -320232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 51, 90, 137, 192?\n\"Answer: 4*d**2 + 19*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/((-1)\/1) - -2. Let a(d) = 6*d**3 - 7*d**2 - 2*d + 6. Let v be a(3). Calculate the highest common divisor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2757 - 301 + 6393 - 1533 = -59*t for t.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/(13126560\/1009748 + (-14 - -1))?\nAnswer: 13, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -91. Find the second derivative of 5 + 7*f + 38*f**d - 13 + 6 + 5*f wrt f.\nAnswer: 228*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u + 68. What is t(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/3 + 1)*8\/(80\/21435). What is a rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1 + sqrt(117))*1)\/(-6*sqrt(144)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -1*2\/(-1). Solve d*a + 4*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205.1+-1.98612\nAnswer: 203.11388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1375\/14 + -411\/7. Calculate the common denominator of n and -15\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.53 + 50.33. Sort j, -2\/105, 2\/17, -3\/4 in descending order.\nAnswer: 2\/17, -2\/105, j, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - 0.174.\nAnswer: -25.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 + 7*m + 4. Let w be q(7). Let p be w\/14 + (-288)\/616. What is the second smallest value in -1, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4587417 - 2287417. Round g to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = t - 2077, -5*a - 4157 = t - 3*t. What are the prime factors of t?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2612, -2379, -1768, -599, 1308?\n\"Answer: 30*s**3 + 9*s**2 - 4*s - 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -47*d**3 + 2*d**2 + 4*d + 5. Let y be q(-2). Suppose 0 = -5*c + 34 + y. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 516, -5, -3 in decreasing order.\nAnswer: 516, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 267946.8ng?\nAnswer: 0.2679468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 19*x - 8. Let g(s) = 18*s - 8. Let c(m) = 4*g(m) - 3*r(m). Let l be c(-7). What is the greatest common divisor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*q**2 + 4\/5*q + 0*q**3 - 2\/5*q**4 + 0.\nAnswer: -2*q*(q - 2)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*-4 - sqrt(30))*2 + sqrt(330)\/(sqrt(176) - sqrt(11)))\/(-5*(sqrt(90) + (sqrt(90) - (sqrt(90) + sqrt(90)*-1))*5)).\nAnswer: 29*sqrt(3)\/270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 168 - 111) + 71?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1032*g**3*w - 120447393*g**3 - 2*g*w - 37*w wrt w.\nAnswer: -1032*g**3 - 2*g - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -2\/3*h**3 + 0*h + 0 + 156667\/6*h**4 - h**2. Let a be f(3). Round a to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010 (base 3) to base 2.\nAnswer: -1011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4)\/34*(-74)\/(9 - 46)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m**2 - m + 101. Let i(d) = -3*d**2 + 25. Determine -9*i(u) + 2*s(u).\nAnswer: u**2 - 2*u - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, -58, -114, -202, -328, -498, -718?\n\"Answer: -i**3 - 7*i**2 - 2*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 1 s when three letters picked without replacement from ksnnznh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5168*u**3 + 31*u**2 - 4*u - 5. Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1628\/(-592))\/(4\/(-256)*-4*-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/11))**(-3\/13)*(d\/(d*d*d\/(d\/(d**(-7)\/d))*d*d*d*d))**(-2\/63) assuming d is positive.\nAnswer: d**(-223\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1. Let r(s) = 1. Let j(b) = 2*b**2 + 6*b. Let x(a) = j(a) + 8*r(a). Let f(z) = -4*c(z) + x(z). Determine y, given that f(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-495)\/(-660))\/((10\/(-24))\/(-5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) - 1\/2. Let g = -1899 - -1700.9. Let i = g - -198. What is the closest to -0.1 in -2, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99895 divided by 225?\nAnswer: 19979\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-2754)*(-83)\/((-4980)\/36)\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g*w**4*x + 15*g*w**4 + 2*g*w - g*x - 4*w**3*x + 10*w**3 + 137*w**2 wrt w.\nAnswer: 24*g*w*x + 360*g*w - 24*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58*q**4 + 77*q**3 + q**2 - 21*q - 165768 with respect to q.\nAnswer: 232*q**3 + 231*q**2 + 2*q - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-8) - 11787\/(-6). Let 1960*d**2 - 80 - p*d**2 - 33*d + 83*d = 0. Calculate d.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 56817.\nAnswer: 568170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*r**3 + 600*r**3 - 286*r**3.\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -227*p**2 - 29*p + 37. Let r(s) = 57*s**2 + 7*s - 8. Calculate -9*r(w) - 2*u(w).\nAnswer: -59*w**2 - 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*o**4 + 6*o**4 + 10*o**4 + (-2*o**2 + 1 - 1)*(0*o**2 + 0*o**2 - 2*o**2).\nAnswer: 34*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*(-14)\/21 - (-18)\/(-3). Let i(g) be the third derivative of 0 + 0*g - 1\/6*g**4 + 0*g**5 + 1\/30*g**6 + t*g**3 - 11*g**2. Factor i(n).\nAnswer: 4*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*m**3 + 113*m**3 - 49*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -915050.5 + 915050. Let z = 29 + -45. What is the closest to z in -0.2, p, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -408 + 408.487. Is 0.2 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3*-1*2\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.4, 2, 3.\nAnswer: -9, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*d**2 + 12724*d + 135240 = 0. Calculate d.\nAnswer: -69, -490\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9))**31*r**(8\/7)*r**1 assuming r is positive.\nAnswer: r**(-1938\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886499946?\nAnswer: 2, 3, 37, 61, 21821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.2 - 1.2. Let a = 8 - c. What is the second smallest value in a, 1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from ppzpzzzfzzppyzpypp?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1916 = -5*k - 4*n, 5*k - 2*n + 4*n - 1908 = 0. Suppose 4*z = k - 124. Find the first derivative of -18 + z*x**4 - 6 - 147*x**4 + 67*x**4 wrt x.\nAnswer: -64*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 9*t = 0. Suppose t = -2*v - v - 5*r + 15, -4*v + 2*r = -20. Solve 4*s = 2*p + 2, -v*p = -3*s - s + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 70 = -16. What is the tens digit of c\/(-4)*(-4)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10684 - 6063. Suppose a = -7*t + 11684. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/(-10) - (-2)\/4. Let r = -22837\/126 + 1210\/7. Calculate the common denominator of r and 3\/g + 285\/(-80).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3 - 102*d**3 + d**2 - 43*d**3 - 35 wrt d.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1567 + 1567. Solve h + 1 = -0*h + 3*d, p = 2*h + 3*d + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 15 + -1 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 19*j**2 - 23*j + 407. Calculate x(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74514 is divided by 1504?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - f**4 + f**4 + 0 + 0 + f**4 + (0*f**2 + 2*f**3 + 0*f**2)*(-f + 2*f + f).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 13) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48286 by 24143.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*k - 126*k = -41986. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j - 468 = -2316 - 4886. Calculate the remainder when j is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, 7, 0.2, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/30)\/((-1)\/(-6)). Suppose -h*q + 20 = -q. Suppose -9 = q*j + 5*x - 29, -2*x = -4*j + 10. Solve -4*m - j = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -2848.82.\nAnswer: 569.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = 172*q - 153*q. What is the remainder when 508 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/((sqrt(32)\/sqrt(4))\/sqrt(4) + sqrt(2)))\/(sqrt(12)\/sqrt(4)*4 + -1*sqrt(432)).\nAnswer: -sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -74, -87, -122, -191, -306, -479, -722, -1047?\n\"Answer: -2*q**3 + q**2 - 2*q - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {m: 5, j: 2, s: 2, h: 2, b: 1, a: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 420717327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (172\/(-516))\/(3\/(36\/32))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 4. Let a be b(-1). Let t(y) = 2*y**3 - 15*y**2 + 7*y - 11. Let j(h) = 9*h**2 - h**3 + 62 - 5*h - 57 + 2*h - 2*h**2. Determine a*j(z) - 3*t(z).\nAnswer: z**3 - 4*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12220 - -11?\nAnswer: -12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 300*w**5 + 690820*w**4 + 3589996*w**3\/3 + 1003028*w**2\/3 - 478592*w\/3 + 12272 = 0.\nAnswer: -2301, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - j**3 + 0*j**2 - 2*j**3 - 9*j**3 + 8*j**3 + 3*j**3 - 4*j**3 - j**3 + (j + 0*j + j)*(3*j**2 - 4*j**2 - j**2).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 310*i**3 - 386413138*i**2 + 120415412639802*i + 776873646018.\nAnswer: 2*(i - 623247)**2*(155*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111 + 1?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r**2 - 2*r + (21 - 21 + 2*r)*(2*r + 3*r - 4*r) - 4 + 4 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 20 + 2\/7*d**2 - 142\/7*d = 0?\nAnswer: 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7882237 and 748.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/18)\/(-8)*18\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, and 1 w when three letters picked without replacement from {s: 1, w: 1, o: 1, y: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 1\/2, 3520?\nAnswer: 3520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1280736 by 96.\nAnswer: 13341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31093.\nAnswer: 17, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 2 p when four letters picked without replacement from jrhyppz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 2)*(3*p - 3*p - 2*p) - 2 - 2*p + 2 - p - 3*p + 3*p + 2*p - 2*p - 2*p - 2 + p + 2 + (-5 - 2 + 2)*(2*p + 4*p - 5*p) as u*p + o and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w - 2*w**2 + 0 - 1\/24*w**4 + 0*w**3. Let a(g) = -12 + 2*g + 12. Give a(u(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 + 6)*(-a + 4*a + 4*a).\nAnswer: 91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 58165281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u - 1\/2*u**3 + 0 + 3*u**2. What is j(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k\/(k*k*k*k**(-2\/3))*k assuming k is positive.\nAnswer: k**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.094 (b) 0.1 (c) 2 (d) 5 (e) 4 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326857.\nAnswer: 19, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -122 times -0.08\nAnswer: 9.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*t - 204*t + 17*t**2 + 410*t.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23152 + 23127.263. Round j to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002480006 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let f = 63977 + -2943177\/46. Let s = -60\/23 - f. Which is the second biggest value? (a) 2\/7 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -5, -1302 in decreasing order.\nAnswer: 87, -5, -1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410546 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 909*n**3 - 22*n + 39. Let c(t) = 455*t**3 - 12*t + 21. What is 11*c(f) - 6*w(f)?\nAnswer: -449*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*i - 20, 3*i + 12 = -0*m + 2*m. Determine d so that -2\/9*d**2 + 0*d + m - 2\/9*d**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107108 is divided by 107097.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*k + 53 = 0, 0 = 4*z - 3*z - k - 6. Let i = -6 + z. Suppose 5*h + i*b = 135, 4*b = -4*h + 5*b + 123. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3157079582.00000423 + -3157079508. Let j = q - 74. Round j to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15 = 4*u, -u = 19*x - 18*x - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 15*o**2 + 12*o - 22. Give r(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18 - 0)\/((-20)\/10). Suppose f = k - 6. Suppose -f*i - 1508 = -7*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.7 + 4.2. Let o = -0.8 - -1. Put o, -3, d in increasing order.\nAnswer: -3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370423597?\nAnswer: 53, 1619, 15971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 4 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 + (-88894)\/39. Let o = p + 3462. Let s = 158 + o. Round s to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**6)**(-5) assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*4 - (2 + sqrt(28))) + 1 - (1*sqrt(847) - (4 + sqrt(112))**2)) + -3.\nAnswer: 31*sqrt(7) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37862702 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470 + 952 + 885 - 3*v**3.\nAnswer: -3*v**3 + 1367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18449 - n - 2*n + 4434 - 22883.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 883, 883, 893, 919, 967?\n\"Answer: a**3 - a**2 - 4*a + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwcsccacaacw. Give prob of picking 1 c and 1 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 122121?\nAnswer: 122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 100, 164, 240, 328, 428, 540?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 3. Let r be b(5). Suppose -388 = -r*h - 5*v, 16*v = -2*h + 12*v + 392. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28440)\/35)\/(-9) - 4\/14 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 16*h = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2914 = -j, -3*j + 8748 = -8*f + 7*f. Find the second derivative of -23*r**2 - j*r + 2919*r - 2*r**2 wrt r.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 5:47 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than or equal to -3558\/389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82393363 to the power of 1\/2, to the nearest integer?\nAnswer: 9077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179\/15 - 343\/30. Let l = 239\/4 - 59. What is the third smallest value in l, 2\/7, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2.04. Let c = -1.96 - d. Let a(g) = g + 6. Let l be a(-6). What is the smallest value in -4, l, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 15, -3*p - 4*k = -403 - 554. Calculate the highest common divisor of 1245 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t + 5*t - 5*t + t**3 + 0*t**3.\nAnswer: t*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.63 - -72. Let s = f + -0.17. Let k = 0.6 - 0.5. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 895 - 294 = 4*d, 0 = 3*p + 3*d - 1224. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + r - 2. Suppose -2*v + 3*v = 8. Let q(p) = -p - 5*p - 3 - v*p**2 - p**3 + 2*p**2. Let w be q(-5). Determine u(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0\/(0 + 2). Let z(s) = -s**4 - 2*s**3 + 4. Let k(l) = l**4 - l**3. Let p(x) = y*k(x) + z(x). Differentiate p(w) wrt w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 18 + 4*k**2 - 32 + 14. Let l(o) = 2*o**2. Calculate h(l(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 405, 403, 401?\n\"Answer: -2*w + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244 and 6.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171727, -686889, -1545485, -2747515?\nAnswer: -4292979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 8, -4, 3, 1, -76183 in descending order.\nAnswer: 11, 8, 3, 1, -4, -76183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4194.216 to the nearest integer.\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9601.\nAnswer: 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151371 and 455364.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 3 - 0) + -2 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1102*f**3 + 4*f**2 - 2*f + 1. What is the hundreds digit of d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-14) - (-100)\/(-420). Let s = -1.3 - -1.5. Put 1\/2, i, s, 3 in descending order.\nAnswer: 3, 1\/2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 25 = -25*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.0029133 to two dps.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 15. Let h be j(6). Let i be (-2)\/((3\/13)\/(-3)). Suppose -i*m + h*m = -145. Calculate the remainder when m is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13382 = -4*w - 2*g, w - 4*w - g + 10035 = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -18 + 7 + (-4 - -5) + 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v. Let g(f) = 35*f - 47583. Calculate g(x(m)).\nAnswer: -245*m - 47583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*d = 90, 0 = -4*y - 5*d + 74 - 1. Let v = y - 13. Suppose c - 15 = -4*c. What is the least common multiple of c and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -68289, -68290, -68291, -68292, -68293?\n\"Answer: -u - 68288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2315 + -16208\/7. What is the third biggest value in 0, -1\/12, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**2*l**4 + 2*g**2 - 5*g*l**4 + 36*g wrt l.\nAnswer: -8*g**2*l**3 - 20*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -0.1 (c) -4 (d) -2985897\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/28)\/4*7*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 632 * 0.028\nAnswer: 17.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/23)\/(x**(1\/5)*x) assuming x is positive.\nAnswer: x**(-143\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -319 - 4*f**2 + 319 + 8*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 0, -19\/2, -61, 1.3, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w + 7. Let j be n(0). Suppose k = 2*u - 7 - 5, -20 = -3*u + 2*k. Suppose -u*p + 37 + 19 = 0. Calculate the highest common factor of j and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -101, -75, -29, 43, 147?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f, -2*j - 5*f = -75 - 107. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 2*q - 18. What is j(8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141040 (base 10) to base 15.\nAnswer: -2bbca","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/327333 or 1?\nAnswer: -7\/327333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*o - 129 = -5*o, -2*d - 3*o = -89. Suppose -5*x = w - d - 77, x - 2*w - 19 = 0. Let j = 7 + -1. What is the remainder when x is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13087\/8220 - -6\/685. Find the common denominator of -35\/16 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1\/(-3))\/((-65)\/(-325))*-3423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -44, -86, -126, -164, -200?\n\"Answer: j**2 - 47*j + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 298785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -1792 + 250. Let w = 477 - v. Let t = w + -655. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34579904 is divided by 1329995.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - -3) + -1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-1\/10)\/d))\/d*d)\/d**12)**(2\/71) assuming d is positive.\nAnswer: d**(-99\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795 < 1798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00605866673 rounded to 6 decimal places?\nAnswer: -0.006059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -622 and 7519 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 0*s + 5*s - 7*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1953 and 8897.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -1561\nAnswer: 23415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*s - 6 + 27, -14 = -4*d + s. Suppose 0 = u + 4, -2*h = -h + d*u - 12. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:48 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389 less than 2390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 2*j**2 - 4*j - 5. Determine l(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11896224107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -651*m**2 - 6*m + 6. Let b(x) = -131*x**2 - x + 1. What is 11*b(u) - 2*p(u)?\nAnswer: -139*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.3 - 32. What is the biggest value in 1\/4, m, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7236, -7232, -7218, -7188, -7136, -7056, -6942?\n\"Answer: p**3 - p**2 - 7236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109341 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1226 - 1216. Solve -254 = f*d - 284 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 818*p - 2463.\nAnswer: (p - 821)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from dvkv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 453 - 1?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - f + 1. Let b(j) = 4*j**3 + j**2 - 3*j + 3. Let n(r) = b(r) - 3*t(r). Give n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210995639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a263 (base 14) to base 15.\nAnswer: 5187a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q**2 + 0*q**2)*(-2*q**2 - q**3 + 2*q**2) + 3*q - 3*q + q**5 + (3*q**4 + 2*q**3 - 2*q**3)*(18903 + 768*q - 18903).\nAnswer: 2307*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 13*i = 6*i - 811 + 202 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 76797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197020285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 2:49 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102139, 204276, 306413?\nAnswer: 408550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4445 is divided by 120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -10. Suppose 0*p + 33 = 2*p - 3*h, -5*h = m*p - 11. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -293830*d**3*j + 12328*d**3*n + 26*d**2*n**2 - 2*j*n**2 + 3*n**2 + 3*n with respect to j.\nAnswer: -293830*d**3 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14242 - 13843. What is the highest common divisor of 231 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 80336814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + z - 4. Suppose -17*t = -20*t + 12. Let g(i) = 3*i**2 + i - 5. What is t*u(w) - 3*g(w)?\nAnswer: -w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.28, 418, -668, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43279 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 51. Let j(w) = -w + 1. What is -3*j(h) - p(h)?\nAnswer: -h - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.059635.\nAnswer: -0.0059635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 1)*-2 + -4 + (sqrt(288) - (sqrt(288) + -2)))**2.\nAnswer: 192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2888\/133 + 2\/7. Suppose -b*g - 1860 = -34*g. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d - 3*y, 21 = -4*d - 4*y + 5. Is (-665)\/(-3) + 2\/d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3832 or -3833?\nAnswer: -3833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = -4*p, 0*p + p = 3. Let a = 23 - n. Suppose -4*d = 3*l - 368, -a*l - d = -4*l + 132. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 3*z + 2*z)*(z - 2*z - 2*z + (6*z - 8 + 8)*(1 + 5 - 2)) as x + v*z**2 + u*z and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 1637790575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 0.7.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185266, -185013, -184572, -183949, -183150, -182181, -181048, -179757?\nAnswer: -178314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -74*p**2 - 872*p - 2483. Determine b(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 7*h**2 - 9*h - 9. Let k = 9 - 15. Let b be o(k). Suppose q - b = 33. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 264, 370, 448, 492, 496, 454?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -25059 + 25139 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from hhabshhbadhbhzabhsa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 8. Let h be (8\/3)\/(t\/6). Suppose -r + h = -0*r. Calculate the greatest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 65 - 69. Let l be a\/(-9) + 646\/(-171). Suppose -f - 4 = -1. Sort f, -8, l.\nAnswer: -8, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1.022 (c) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 7*k**2 + 20*k + 3. Let i be v(-2). What is the fifth biggest value in 35, i, 0.4, 9, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3810*o**3 - 1833*o**3 - 1868*o**3 + (-2*o**3 - 2 + 2)*(-4 + 4 - 1) + (5*o + o - 5*o)*(-o**2 - 4 + 4).\nAnswer: 110*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 3*f**2 + 2*f + 2. Let r be m(-3). Let n = r + 5. Which is bigger: -2\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 11*h - 7. Let d(k) = k**2 + 6*k - 4. Let o(u) = u**3 + 5*u**2 - 17*u - 14. Let z be o(-7). Determine z*d(v) - 4*c(v).\nAnswer: 3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 364905544 a multiple of 4318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8371 = 538*y - 869 - 29494 - 16744 for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 2 (c) 0.4 (d) 3 (e) 15 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -83.8 + 0.9\nAnswer: -82.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, l: 1, e: 3, y: 5, j: 1, a: 2}. Give prob of sequence yjea.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 + 58 = -78*d. What is the nearest to 1\/4 in d, -1\/3, 2, 67?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73282 (base 9) in base 3?\nAnswer: 2110022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 11*a + 39. Let v be l(-13). Calculate the greatest common divisor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 3*u + 3*u)*(-3*u + 3*u + u**2) + 0*u - 2*u**3 + 0*u - 418*u**3 - 14*u**2 + 4*u**2 + 10*u**2.\nAnswer: -419*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x - 475 + 99 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411323298.\nAnswer: 2, 3, 29, 2363927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12032)\/(-1792) - 3\/(-2)*320\/(-60).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 506 = 26*x. Let g = x - -359. Calculate the greatest common divisor of g and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46809*b**3 - 28944.\nAnswer: -140427*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2115506 - 3?\nAnswer: 2115503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 25 = 5*x, -90*x = -88*x - a - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 + 64*o = 0. What is o?\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2421 + 2605. What is the smallest common multiple of 8 and w?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5\/8 + 201*m**4\/8 + 1707*m**3\/8 - 705*m**2\/8 - 15471*m\/4 - 3591 = 0.\nAnswer: -57, -7, -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + z + 32 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85025097 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.6578 - -0.3422. Which is the fourth biggest value? (a) 3\/5 (b) -2 (c) 4\/3 (d) -1\/4 (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + 16 + 7490\/20. Let k be s\/((-48)\/(-64) + (-1)\/12). Calculate the greatest common factor of k and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 186928947891 and 1.2?\nAnswer: 186928947889.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19481\/10 + -1952. Let r be 1\/(-5) - (-438606)\/(-45). Let x = r + 117037\/12. Find the common denominator of v and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3861*n - 3820*n = -128617. Is -3136 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*u + 3*d + 5, -2*u - 3*d - 3 = 0. Suppose -y = 8*i - 4*i, u = -3*i + 2*y. Solve 3*q + 1 - 4 = i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -2 (c) 9179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.441, -3\/8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 13*i + 14. Let y be r(14). Suppose 8*c + 1287 - 7599 = y. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f**2 - 191*f - 184. What is z(-10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.8667 millilitres to litres.\nAnswer: 0.5718667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, -0.2, 0.09, 1, 109 in descending order.\nAnswer: 109, 5, 1, 0.09, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/83 (b) 5 (c) 5\/3 (d) -2 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n - 10445 = -10*w, 0 = 3*n + 2*w - 31475. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/9)\/(5\/(-15)). Let w(a) = -5*a**2 + 9*a + 1. Let f(j) = 2*j**2 - 4*j - 1. Let o(m) = r*w(m) + 9*f(m). What is the derivative of o(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 32*p**2 + p - 27. Let i be u(32). Suppose -5*g - r = -5, -5*g + 9*r + 30 = i*r. Solve t + c + 4 - 2 = 0, g*c = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 3*p + 3*p)*((3 - 3 + 1)*(p - p + p) - 4 + 27 + 2*p - 7 + 0*p + 3*p - 2*p) as m + x*p**2 + l*p and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - 6*c + 10. Let o(j) = 5*j**2 - 5*j + 8. Determine 5*o(r) - 4*u(r).\nAnswer: 9*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:23 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.33 - -3.33. Let p = 16 + -12. Which is the nearest to p? (a) 0 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 2. Let g = -11.1 + u. Let j = -1.1 + g. Which is the smallest value? (a) -2\/9 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7323.27 months in years?\nAnswer: 610.2725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6. What is the closest to t in -2\/7, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/10)*f*f*f**(-11)*f*((f\/(f*f**(-23)))\/f*f)**(2\/45) assuming f is positive.\nAnswer: f**(-619\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (0 - 3) + -2 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 1 j when three letters picked without replacement from {a: 1, j: 1, h: 2, m: 2, l: 2, y: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*a = -12, 4*d - 4133*a + 28 = -4130*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 659\/10. Let b = 28\/9 + -22\/9. What is the second biggest value in b, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 20*g + 5\/4*g**4 + 45\/2*g**2 + 16 + 10*g**3. Factor k(j).\nAnswer: 5*(j + 1)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 782 + -542. Is u a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -533 (base 8) to base 7.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435015.8 weeks to seconds.\nAnswer: 263097555840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-30)*4\/18*(-38 + (93 - 94)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 r when three letters picked without replacement from rwrkwwrrrrrkkkrrw.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48888647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gllgglgclgl. Give prob of picking 4 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -206*s**2 + 3206*s - 30. Calculate v(15).\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33874, -33903, -33948, -34009, -34086?\n\"Answer: -8*x**2 - 5*x - 33861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 161*p**2 - 3529*p + 8159. Calculate m(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 13176044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26944\/(-17682) + 20\/14.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -57 (b) 1 (c) -20\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-150)\/(-9) + 3\/9. Let t = f + -12. Suppose 0 = -5*x + t, 2*x - 1 = -2*g + x. Solve 0*o + 2*o = g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5573644?\nAnswer: 2, 479, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2352798*d**2 + 4*d - 1. Let k be z(-3). Let w = -12065195 - k. Round w to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421341954 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821668 is divided by 366.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-143))\/(3\/(-33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-1)\/(-1))\/((-4)\/286). Let w = r - 142. Is (0 - w) + (0 + 6)*78 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10757003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, d: 7}. What is prob of picking 3 d and 1 j?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Simplify o*(o**(-5\/6)*o)\/o*o*o*(o\/(o*o**(-4))*o)\/o*o*o*o**2\/o*o*o**7 assuming o is positive.\nAnswer: o**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 27 + 3 = 0. Suppose 3*k + 2*j - 19 = 0, 3*k + 0*j - 2*j = -1. Let q be ((-9)\/(-42))\/(k\/f). Which is the biggest value? (a) q (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 6*t - 3*t. Let s(i) be the first derivative of -5*i**2 + 4. Determine s(u(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 - 20*n - 10. Suppose -11 = -k + d, -2*k + 6 + 22 = -5*d. What are the prime factors of z(k)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 31. What is q(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190.5 - 374.5. Sort 0.2, q, -4 in descending order.\nAnswer: 0.2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-48)*-122 - -3 and 33\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*d - 1806 = 0, -5*d + 1812 = a - 8*d. Calculate the greatest common divisor of a and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1715*w + 13364 - 35 = -35486 - 4350 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 63688.34 to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 100530, 97940, 95350, 92760, 90170?\n\"Answer: -2590*f + 103120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 632*m + 636.\nAnswer: -4*(m - 159)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 40222941*v**2. Let i(n) = -2*n**2. Give m(i(y)).\nAnswer: 160891764*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 578736.2s?\nAnswer: 578736200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/162846777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(3\/10*5). What is the highest common factor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11570 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23*3\/(-9)*3. Let a = -14 - q. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225*g + 1235*g = 264280. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14021 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 1, x: 3, z: 2}. Give prob of picking 1 j, 2 z, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -11, -4, 17, 58?\n\"Answer: j**3 - 2*j**2 - 2*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 1051, 2837, 6317, 12055, 20615, 32561, 48457?\nAnswer: 68867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78968617*c**2*i**3 - 6*c*i**2 - 7*c*i + 199*i**3 + 64*i wrt c?\nAnswer: 157937234*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10000110100?\nAnswer: 10000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*d)*(-8*d**2 + d**2 - 18*d**2) in the form z + v*d**3 + k*d + n*d**2 and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (1 + -3)) + 4. Solve 5*u + z = g, u + 11 = -5*z + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-9))\/(2\/27). Is ((-18)\/p)\/((-4)\/(-126)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s. Let n be u(1). Let v(q) = q - 5. Let t = 14 - 9. Let o be v(t). Solve -n*c - 6 - 9 = o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o*o)\/((o**(1\/7)*o*o)\/o) assuming o is positive.\nAnswer: o**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*p - 6*p**4 + 3*p + 4*p**4 to the form x*p**3 + d*p**4 + w*p**2 + g + a*p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**8\/336 + 3*s**6\/20 - 3*s**4\/4 + 52*s**2. What is the second derivative of c(m) wrt m?\nAnswer: 20*m**3 + 108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 6*x**2 - 5*x - 7. Let w(h) = -2*h**2 + 11*h - 9. Let n be w(2). What is a(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 161, 1253, 3741, 8165, 15065?\n\"Answer: 90*a**3 + 158*a**2 - 12*a - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0. Is k less than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4933 and -0.061714 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 126\/8 + 1\/4. Suppose -z + o = 3*z. Suppose 29 = z*y + 9. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93000 < 93001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lslc when four letters picked without replacement from {d: 1, b: 1, c: 10, s: 2, l: 3}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*q**6 - 4 - 9*q**2 + 4 wrt q?\nAnswer: 960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 53 + 10. Calculate the greatest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(612) + -1 + (0 + (sqrt(612) - 1*sqrt(612) - sqrt(612)) - sqrt(612)))**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -5, -16, 0 in descending order.\nAnswer: 8, 0, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - l - 17 = -2*s, 5*s = -2*l + 32. Suppose -c - s = -11. Calculate the lowest common multiple of 25 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -609 + 609. Put -38, 1\/2, y in decreasing order.\nAnswer: 1\/2, y, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 294*h**2*x**2 + h**2 + 8*h + 3932*x**2 - 9702 wrt x.\nAnswer: 588*h**2*x + 7864*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 12, 90, -4 in descending order.\nAnswer: 90, 12, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/5 (b) 1\/2 (c) -0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164\/9*j + 1\/9*j**2 + 6724\/9 = 0.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 320, 2, 0.3, 5, 1, -68, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 271386 and 900?\nAnswer: 13569300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 36*x**7\/7 + 14*x**3\/3 + 24. Find the third derivative of g(z) wrt z.\nAnswer: 4320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-24 - -20)*(15 + -14 + (-11)\/(-2))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*p - 2598*j + 2599*j, p - 3*j - j = 60 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*v - 57, -b = -3*v - 6*b + 75. Let s(x) = x**2 - 18*x - 12. Is 28 a factor of s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 27, -2, 5 in ascending order.\nAnswer: -5, -2, 3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/12 + 157*w**3\/3 - 3*w**2 - 468. Let v(x) = 3*x. Determine v(k(p)).\nAnswer: -15*p**2 + 942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*h + 4*m, 3*h - m = 12 - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5947 - 5275. What is the lowest common multiple of 14 and r?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/s*s*s**(-6))**(-24))**13 assuming s is positive.\nAnswer: s**3120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-5) - (-286)\/10. Let i be (9\/6)\/((-1)\/(-50)). Let s be 5*(-5)\/(i\/(-21)). Calculate the greatest common factor of s and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**7\/420 - z**6\/180 + z**3 + 5*z**2. Let r(h) be the first derivative of d(h). Find the third derivative of r(o) wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3410 and 413137?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -2 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-8 + -11)) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**6\/6 + x**3\/2 + x + 6. Let a(w) be the first derivative of h(w). Find the second derivative of a(y) wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(168))\/(-3*sqrt(36)))\/(2*(sqrt(54) + (sqrt(54) - -2*sqrt(54))*1)).\nAnswer: -sqrt(7)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -17, -15, -13, -11, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14686458 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -158*a + 318. Calculate g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20216 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 5. Let q be d(-3). Solve 3*x - 1 = q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3001\/3 - 1001. Let x = 0.4 - -0.6. What is the closest to x in i, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 24. Let q = s - 5. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 10. Let s(j) = -1. Let z(p) = r(p) + 10*s(p). Let o(m) = -497*m**2. What is z(o(h))?\nAnswer: -494018*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 1\/2*t**4 + 1\/2*t**2 - 6 - 1\/3*t**3 - t. What is the tens digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k**2 - 7*k**2 + 39*k**2 - 4 + 4 to g + u*k**2 + x*k and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12*o = -3*o. Solve o = 6*p - 5*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145711.89 + 8899\nAnswer: 154610.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-92)\/(-12) - 7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 2\/11, 0.69, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3132 and 1450.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 69\/72*2 + -2 + (-75)\/(-36)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - l + 4)*(2 - 3 + 3) + (46*l - 117 + 117)*(6 - 4 - 1) - 2*l + l + 3*l.\nAnswer: 46*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 138*j**2 - 3*j - 19. Is c(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1304*z**3 + 3*z - 16 + 5*z + 1311*z**3 + 16 - 2617*z**3.\nAnswer: -2*z**3 + 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -390 - -390. Let f(j) = j**2 + j + 4. What is f(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 7917?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*a*v**3 + 176*a*v**2 - a*v - 5*a - 6*v**3 - 2197*v - 93 wrt v?\nAnswer: -810*a*v + 352*a - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3243)\/282 + (-4 - -2) + 9. What is the closest to -5 in 1\/9, 1, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40807\/10 + -243536311\/59680. What is the common denominator of c and 51\/22?\nAnswer: 131296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154\/109 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (1 - (-6 + -2 + 9 + 1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**2 + 1 + 6*d + 0*d - 4*d + 8*d**2. Suppose 3*q = -4 - 5. Is r(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*c + 47, -6*c + 71 = -2*c + 3*n. Let t(v) = -8*v**2 + 6*v**3 - c*v - 9*v**2 + 0*v**2 - 5*v**3. List the prime factors of t(18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -5. Let p = m - 9. Suppose -7*x**2 + 54*x**4 + 51*x**3 - 12*x + 7*x**p + 15*x**5 = 0. Calculate x.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 20. Is 4\/5 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 240 + -6 + 0\/17?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhss. Give prob of sequence hhhs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2494 and 1803278?\nAnswer: 77540954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/59 + -157\/118. Do z and -97 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/120 + 4*o**5\/15 - o**4\/24 + 5*o**3 - o**2 + 5. What is the remainder when 235 is divided by x(16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.4. Suppose 1985 = -709*m + 3403. Put m, -2, z in increasing order.\nAnswer: -2, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*r - 2*v, -4*r + v = -0*v - 57. Suppose 0 = 2*w + 9 + 7. Let b = r + w. Solve -3*i + 28 = -0*i - b*s, 0 = 3*i + 3*s + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.016 (b) -4 (c) 0 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 10*n + 4. Suppose 5 = -5*g, -r + 5*g + 3 = -2. Let t(c) = -c**2 + 12*c - 2. Let y be t(9). Solve o + n*o + y = r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -23*o + 20. Let n be w(1). Let p(g) = 77*g**2 + 6*g + 7. What is the units digit of p(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/(3\/150*5). Let n(o) be the second derivative of o + 0 + 3*o**2 - 1\/12*o**g - 1\/3*o**3. What is n(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {k: 1, t: 3, a: 2, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000511001838 rounded to 7 decimal places?\nAnswer: -0.0000511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/15)\/((-585)\/(-5850))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 - 3 + 0 - 24*z**2.\nAnswer: -16*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19875 and 388225?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 12}. What is prob of picking 2 v?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/957 and 85\/1131.\nAnswer: 12441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 21 = 19, -4*l = -n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 0.2 (c) -6 (d) -3 (e) 0.9 (f) -2\/5 (g) -6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7390, 14531, 21424, 28069?\n\"Answer: -124*o**2 + 7513*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -520 - -1343?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8404 (base 14) to base 13.\nAnswer: a473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 21. Let f(s) = -6*s - 22. Let z(v) = 3*c(v) + 4*f(v). Let o be z(-5). Let q(p) = -p**2 + p + 6. What is q(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u - 20 = 0. Let z(p) = -p + 17. Let o be z(13). What is the units digit of 119\/u - 3\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 b, and 1 j when three letters picked without replacement from ekjbllte?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 96, 138, 180?\n\"Answer: 42*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 4*x - 3*a - 17 = 0, 2*x - 4*a - 6 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3b06f (base 16) to base 13.\nAnswer: 22b7a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-18)\/(-1584)*44)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-534)\/3252 + 1\/6. Let n = t + -1909\/4878. What is the common denominator of -77\/24 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 27 = 2*k + 3*k, 2*k = 3*r - 48. Suppose -2*x + 8 - r = 0. Let m = x - -11. Let j(u) = u - 4. Calculate j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2, -7\/38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*u = 2*u + 1135, 0 = 4*p + 2*u - 1114. Let k = p + -155. Does 22 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 + 9. Let r(q) be the third derivative of 0*q**4 + 0*q + 4*q**2 + 1\/60*q**6 + 0*q**5 + 0 - 2\/3*q**3. Determine 4*a(f) + 9*r(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from dkdak.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 2*q**5 + 2*q**3 + (4367*q + 144*q**2 - 4367*q)*(q**3 - q**2 + q**2) + (2*q - 2 + 2)*(q**4 + 0*q + 0*q).\nAnswer: 148*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = -14*h + 3*q + 4, 0 = -2*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -261, -131, 51, 285?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348648 and 150672.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/237 and ((-183)\/9)\/(8\/(-12)).\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dd (base 16) in base 13?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -28. Let k be (-4112)\/(-30) + 2\/(-5). Let m = k - 138. What is the closest to q in m, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -6494917?\nAnswer: -2\/590447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 + s - 2 - 3 + s**4 - 3*s**2 + 7 to d + i*s**2 + u*s + k*s**3 + g*s**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4327 and -7501.\nAnswer: -32456827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 6*j**2 + 8*j + 11. Let v be f(-7). What is the tens digit of 196 + (-5)\/10*v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84639209 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5169 is divided by 115?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1642157987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 19*k + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.914 - 0.086. Let w = u + 32.1. Let h = 3.9017 + w. What is h rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2320.8642 milliseconds?\nAnswer: 0.03868107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*g - 1029, -4*d + 18 = 3*g - 757. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a factor of 44527581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139753609 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 534*p. Let f(w) = w. Give f(q(m)).\nAnswer: 534*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13775098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12899, -51551, -115953, -206087, -321935, -463479, -630701?\n\"Answer: 3*h**3 - 12893*h**2 + 6*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -167552.8 rounded to the nearest 1000?\nAnswer: -168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210378382.\nAnswer: 2, 105189191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 132\/(-3762) - (-688)\/114. Let d(g) = 4 + 2*g**2 - g**2 - 1 + 4*g. Let a be d(-4). Calculate the greatest common divisor of a and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 3 - r**2 - 5 + 3*r**2 + 2*r**2 - 3*r**2 + 2*r**2 - 4*r**2 - r**2 + (-2*r**2 + 3*r**2 - 2*r**2)*(1 + 7 + 11).\nAnswer: -19*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 6*o + 5700000. What is o rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 11*i**2 - 12*i - 21. Determine o(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 + 48 = -45*r + 7 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20522 + 10751. Let u = y - -29052. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 1\/11, -2, -3\/11, -18?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let n(b) = -920*b**2 - 18*b - 1. Let q(m) = -918*m**2 - 15*m - 1. Let k(h) = 5*n(h) - 6*q(h). Calculate k(s(f)).\nAnswer: 3632*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*v = -435*v + 187 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.4, -0.04, 8\/3, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 8. Let m(b) = -3*b + 174. What is -m(q) + 6*v(q)?\nAnswer: -3*q - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6556 and 173\/2010.\nAnswer: 6588780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 41*z - 1292. Determine x(31).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 7 + 14 = 5*o, -5*o = 4*v - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006461843 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -2 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3604, 1, -73, 4, -4, -3.\nAnswer: -3604, -73, -4, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -27*u + 25. Let g be y(6). Let h = 125 + g. Let f(i) = 0*i + i + 10 + 0*i. Calculate f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -v + 12, 4*v - 1 - 2 = 3*d. Suppose -5*y + 2708 = -4*x, 0*y - 3279 = -6*y - 5*x. Suppose -389 = -v*j + y. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-32) - (-15)\/(-8). Let a = p - -4. Suppose -a*o - 4*o = -1302. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*(-1995)\/190.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or 62?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12490264.6706 - -12488875. Let z = -1390 - f. Let h = 0.33 + z. Round h to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 792051 + -442?\nAnswer: 791609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -448*k**2 - 3*k - 3. Let o(c) = -68093*c**2 - 457*c - 457. Let u(f) = -3*o(f) + 457*r(f). Let t(j) = 2*j**2. Calculate u(t(q)).\nAnswer: -1828*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2 + 3*f**2 + 3*f**5 - 6*f**2 wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5254 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2142\/131755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(108))**2 + (sqrt(108) + -1)**2 + -5 + (-4*sqrt(27)*-1)\/(sqrt(54)\/(sqrt(6)*-4) - sqrt(9)).\nAnswer: -76*sqrt(3)\/5 + 3992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.89 - 39.69. Let z = 36.3 + p. What is the third smallest value in -0.4, 32, z?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 33*d**2 - 349*d + 223. Calculate y(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + y = k - 35, 179*y + 40 = -4*k + 175*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-1*6)\/((sqrt(64) + (sqrt(64) - 2*sqrt(64)) + sqrt(64))\/sqrt(8)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 q when four letters picked without replacement from qmqmpmkqpvvpqqpq.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1046576 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bb - 168?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 13. Suppose -7*h - 60 = -p*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 13. Suppose 0*t = -2*t - 12. Let n be b(t). Let u = n + 7. Solve 6 = 3*v - 3*p, 0 = 7*p - 5*p - u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = -17*l + 171 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 9:25 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 182719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 3 in descending order.\nAnswer: 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 30081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6207*o + 483411 - 296708 + 402962 for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:21 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*1 - (1 + (-12 - 1)). Suppose y + 2 = -5*t. Find the common denominator of -145\/12 and t\/6 + (-554)\/(-60).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(0 + sqrt(567) + -1 - (1 + sqrt(567)*2)))**2 - (4 + sqrt(567)*-1 + sqrt(567) + 1 + sqrt(567) + -1))*2.\nAnswer: 2574*sqrt(7) + 41104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 873*s**2 - 9478*s - 62. What is i(11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38882.0972 - 38873. What is b rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h - n, 0*h - 3*n + 15 = h. Suppose -w - 1 + 4 = h. Let p be (w*-1)\/(21 + -20). Put -5, 40, p in decreasing order.\nAnswer: 40, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45276\/(-112) + (-1)\/(-4). Let r = 708 + n. Calculate the highest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-105)\/(-49)*1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 2*i - 9. Let x be k(-4). Suppose 4*g - x = 49. Calculate the highest common divisor of 80 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*z + 11 = 7*z, -2*j + 28 = -4*z. Let c(m) be the second derivative of 0 + j*m + 0*m**2 + 1\/3*m**3. Let q(i) = 5*i**2. Calculate q(c(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4 - 3*h**2 + 5*h**2 - h**2 - 8*h - 6. What is q(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/765)\/((-5)\/30)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -717?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -24, -3, -166, -2, 0 in descending order.\nAnswer: 45, 0, -2, -3, -24, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s - 23. Let g = 155 + -97. Let b = -46 + g. Calculate the lowest common multiple of s and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(6292) - sqrt(52)) + sqrt(52).\nAnswer: -2 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53*6*2\/(-16)*(-12)\/(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - 10*g - 21. Let y(m) = 8*m**2 + 29*m + 62. Let f(c) = 11*u(c) + 4*y(c). Let p be f(8). Let a be 6\/(-12)*(p - 1). Round a to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2504*y = -2513*y + 112, 5*y + 225 = 5*z for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 + 2*s + 2. Let f be k(-1). Solve -15 = -f*m - 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2820800 to the nearest 10000.\nAnswer: 2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 831.0521 and 1578.\nAnswer: 2409.0521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1507426.2us in weeks?\nAnswer: 0.0000024924375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 26 (b) 2\/231 (c) -0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 30*o**2 + 40*o - 75. List the prime factors of j(30).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*t**2 + 45\/2 + 43\/4*t.\nAnswer: -(t - 45)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1\/9 (c) 25\/3 (d) -3 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 10*a**2 + 17*a - 303. Let d be m(7). Calculate the greatest common divisor of d and 36588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/24*3*(14 + -11 + -13). Which is the nearest to l? (a) -1\/5 (b) 2\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 20*y**2 + 12*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let o(u) = u**3 + 14*u**2 + 14*u + 12. Let m be o(-13). What is the closest to -1 in m, -0.2, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*n + 9*n. What is the lowest common multiple of (6\/9)\/((-1)\/(-6)) and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10 + 3\/(-5). Suppose -5*r - 68 = -l*r - g, -5*r + 5*g = 80. Let t = 22 + r. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 29 = 3*c, 0*z - 5*z = 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*n - 23 + 23 - 1335*n.\nAnswer: -1560*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/51029?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*o - 11*o + 2*o)*(-7 + 2 + 17).\nAnswer: -180*o + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 3*v**5\/20 + 53*v**4\/12 + 29*v**3\/6 - 85*v**2\/2 + 166*v - 1. Factor l(b).\nAnswer: (b - 1)*(b + 17)*(3*b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*k - 115 + 115 as s*k + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4996 or -4993?\nAnswer: -4996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**3 - 3*i**2 + 3. Let s = -24 - -40. Let d(r) = -26*r**3 + 16*r**2 - 16. Calculate s*g(m) + 3*d(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 6*z = 138, -214*k - 5*z - 29 = -216*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14767*w**2 - 14759*w**2 + 25 - 7 - 9 - 9 + 29527*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1315)\/1578 - 5\/(-6))\/(6 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7112776?\nAnswer: 2, 11, 131, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {c: 2, v: 1, j: 1, l: 10, u: 4}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -11213?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44654.75636 rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 3 + 5 + 0. Let h be m(-4). Suppose h*j - 21 = 3*d, 5*d + 2 = 7. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kycc when four letters picked without replacement from {k: 1, h: 5, n: 3, c: 2, y: 5}.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**6 - v**4 - v**2 - v - 1. Let a(y) = 3*y**6 - 5*y**4 - 4*y**2 - 5*y - 5. Let t(r) = a(r) - 5*p(r). Find the third derivative of t(j) wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 11*z**2 - 18*z**2 - 3*z**4 + 4*z**2 - 3*z as x*z**4 + h*z**2 + p + o*z**3 + r*z and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 3*p**2 + 49*p - 45. Calculate y(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/11 (b) -0.4 (c) 1 (d) 3 (e) 3\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.5 - 9. Which is the closest to 1? (a) 5 (b) 3\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*c*h**2*n**2 - c*h**2*n + 2*c*h*n**2*p + 16*c*n*p - h**2*n**2 + 4*h**2*n*p wrt p.\nAnswer: 2*c*h*n**2 + 16*c*n + 4*h**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 36275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**3 - 14*p**3 - 14*p**3.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = -74*v - 31*v - 5760 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -60 - -52 - (-2 + (2 - -2) + 3) - 75\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -47338.\nAnswer: -41\/47338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c849 - 14?\nAnswer: 8c835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-61)\/(-4) - (-3)\/(-12). Let c be 23\/5 - (-6)\/p. Solve -2*k + 9 = -c*d - 6, 2*k - 11 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f + 15*f - 67 - 53*f + 16*f.\nAnswer: -2*f - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 477, 4117, 13997, 33237, 64957?\n\"Answer: 520*l**3 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 175001 + 150?\nAnswer: 175151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41965 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 172 = -52*w. Calculate the least common multiple of w and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 - -847\/5. Let w(p) = 8*p - 52. Let a be w(7). Suppose -3*l + 5*x = -13, -5*x = -2*l + 8 + a. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125 - 92 - 69)*(-5 - 2*z + 6 + 0) to the form a + b*z and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/32274 and 151\/155502.\nAnswer: 1710522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3542258 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 40. Suppose -n - 25 = -2*s, 4*n + o = -2*s - 50. Let l = n - -16. Which is the second biggest value? (a) -5\/3 (b) -5\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from bbiwbnbibrrwbwbrrrib.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 323733727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 3*m**2 - 6*m - 27. Let w be u(5). Let q be -1 - w\/7*361. Is q equal to 361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 + 2. Suppose w - 5 + 0 = 0. Let u(l) = -l**2 + 13*l - 2. What is the lowest common multiple of u(12) and j(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 4*n**2 + 725 + 732 + 5*n + 731 - 2186. Give l(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2799 and 152701.\nAnswer: 1374309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 - 1)*(47*q**3 + 132*q**3 + 127*q**3) + 2*q**3 + 3*q - 3*q in the form p*q + y + b*q**3 + l*q**2 and give b.\nAnswer: -2446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55526931 a multiple of 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 - 900\/7. Let t = 3.993 + 0.007. Which is the nearest to 0.06? (a) u (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4 + 12. Suppose -5*m - 4*i + 9 = -0, -3*m = -4*i + 1. Solve n = h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(2 + (-5)\/4). Suppose h = g*h. Suppose h*l + 34 = l. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 0.5 (b) 0 (c) -2\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqb when three letters picked without replacement from {b: 9, q: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -270, -273, -276, -279, -282, -285?\n\"Answer: -3*m - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**2 + 3 - 3)*(-j**2 + 2*j**2 - 3*j**2) - 73*j**4 + 292*j**4 + 143*j**4 in the form o*j**2 + f*j**4 + w*j**3 + n*j + d and give f.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 1. Let d be f(-1). Let a = 7 + -3. Suppose a*p + p = 4*h + 71, 4*p = d*h + 56. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (6\/8 - 931\/(-28)). Let z = o + 38. Solve -z*b = -2*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*n - 3*x + 36, 5*x = 0. What is the greatest common factor of n and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16372 + 2021*x - 8186 - 8186 + (2 - 6 + 3)*(5*x - x - 6*x) + 6*x + 0*x - 4*x.\nAnswer: 2025*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/21))**(-1\/5)\/(a*a**23*a)**34 assuming a is positive.\nAnswer: a**(-89273\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/23 in 4\/11, -1, 2, 453?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527 - 1590 + 122*z - 204*z + 103*z + 529 + 534.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30863 is divided by 175?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 2, 10, -5, 79, 0 in increasing order.\nAnswer: -5, 0, 2, 10, 28, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7324541 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -9\/4*d**3 + 9\/4*d - 3\/2 + 3\/4*d**2 + 3\/4*d**4 = 0. What is d?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 11*q + 1 + 8 - 4*q**2. Let s be 17\/(17\/3)*1. Let k(d) = d**2 - 5*d - 4. Determine s*c(t) + 7*k(t).\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yit when three letters picked without replacement from {i: 2, t: 1, s: 1, l: 2, y: 1, q: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -5\/4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 1. What is the nearest to -4 in -2\/17, o, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:55 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2182951440?\nAnswer: 2, 3, 5, 997, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.38761*0.1.\nAnswer: 0.638761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**4\/12 - 2*x**3\/3 - x**2 - 2*x + 42. What is p(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 18, 12, 2, -12, -30?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 278?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 - 138. Solve -q*z + 4 = -14*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 + 69*c. Let w(j) = 6988*j. What is w(k(f))?\nAnswer: -34940*f**2 + 482172*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 3*p**2 + 3*p + 4. Let g be q(-4). Suppose 272 = 4*a - 4*m, a - 3*m + 180 = 4*a. Let v = a - g. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 15500*o + 23494*o in the form j*o + p and give j.\nAnswer: 7994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9410498.\nAnswer: 2, 4705249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39137264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -33887 - (2 + 0)*-1. Let l = a - -76605. Let y = l - -18280. What is y rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 5. Suppose 0 = -p - 0*d + 2*d + 9, 3*d = 3*p - 21. Let u be s(p). Suppose -c = -u*c - 11. Solve 2 = 2*i, 2*i + 3*i = -2*g + c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 4\/4 - -2. Factor -9*h**3 - a*h + 2*h**3 + 11*h**3.\nAnswer: 4*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 (base 14) in base 8?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.06 - 0.06. Which is the closest to -8? (a) k (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -24*y**2 + 5. Let x be k(-1). Let u = x - 33. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. What is the third smallest value in 0, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -53733, -214933, -483599, -859731?\n\"Answer: -53733*k**2 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 3*f**2 - 4*f**2 + 11*f**2 - f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 - 4441*z**2\/2 + 1481041*z - 1478820 = 0. What is z?\nAnswer: -5030, 1, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 83*j**5\/15 - 6815*j**3\/6 + 18*j**2 + 367. Find the first derivative of i(q) wrt q.\nAnswer: 664*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 445985370 - 445999709.79985. Let s = y + 14335.7. Let d = s + 4.1. Round d to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*g - 54, 5*u = -0*u - g + 102. Suppose -3*n + u = 4*h, 2*n = 4*n - 5*h + 9. Suppose -4*f - 4 = -n*f. Put 1, f, 5, 2 in increasing order.\nAnswer: f, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 - m**2 - 2*m**2 + (-2*m + 3*m - 3*m)*(-5*m - 10*m - 3*m) + (-m**2 - 5*m**2 + 5*m**2)*(3 - 2 + 0) - 10*m**2 - 3*m**2 + 51*m**2.\nAnswer: 70*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g**3 + g**3 + 2*g**3)*(2*g - 18*g - 1 + 0) to the form t*g + y*g**2 + u*g**4 + j + s*g**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 13022221?\nAnswer: -13022231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185139682 by 7120757.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g - 24*g + 164*g + 104*g.\nAnswer: 265*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 22322 = 6362. Suppose -6*b + b = -p. Round b to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - o = -991, 2*f - o - 395 = -0*f. Solve 9 = -207*t + f*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -25*c**2 - 4*c - 3. Let n(r) = 301*r**2 + 49*r + 35. Let x(z) = -3*n(z) - 35*w(z). Let v(a) = 9*a**2 + 2*a. Determine 7*v(i) + 2*x(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 26*g**3 - 32*g**2 + 6*g - 14. Let x(k) = -9*k**3 + 11*k**2 - 2*k + 5. Let c = -3 + -13. Let h = c - -2. Let r(j) = h*x(j) - 5*m(j). Factor r(d).\nAnswer: -2*d*(d - 1)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877043 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64882*w**4 + 183150*w wrt w?\nAnswer: -778584*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 354357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/203 in -0.1, 46.91, -1, -49?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 1. Let s(o) = -4*o + 9. Let c(z) = -3*a(z) - s(z). Let l be c(12). Suppose k = -2*f - 4, -3*k + 7*k - 3*f - 17 = l. Solve 2 = -4*j - k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2543 and 439939?\nAnswer: 439939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 844990, 845115, 845240, 845365?\n\"Answer: 125*w + 844865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2297*y**2 - 270*y - 539. What is the thousands digit of u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -54, 3, 4, -2, 248 in ascending order.\nAnswer: -54, -2, -1, 3, 4, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5867 - 5861. Is 204\/41 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:13 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-1092))\/((-1595132)\/531708 - -3). Let s = -75\/104 - h. Let r = 60 - s. Sort r, 11, -2 in descending order.\nAnswer: 11, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 10:12 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -303 + 302 - 54*x + 55*x. Let c(l) = -l**2 - 9*l - 9. Let v be c(-6). Give k(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 - 12*o**2 - 15*o - 59. Give x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2 + 4*b - 21 = 0?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(1900)) + 5 + sqrt(1900) + 1 + 0 - ((1 + sqrt(171) - sqrt(171)) + -5 - ((2*sqrt(931) - sqrt(931)) + -2 - sqrt(931))))**2.\nAnswer: 1960*sqrt(19) + 93296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -674*w - 5. Let t(u) = u. Determine a(t(o)).\nAnswer: -674*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - (23 - -28) - -50?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.410532g in tonnes?\nAnswer: 0.000000410532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 3*s - 4*s)*(-14*s - 6*s - 18*s**2 + 19*s)*(1 - 5 + 3)*(-1 - 2*s**2 + 1).\nAnswer: 72*s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 730158 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 603501694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3214.0236238 and -0.271?\nAnswer: 3213.7526238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2158973 + 2.216. What is s rounded to 6 decimal places?\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4743*i - 3904 wrt i.\nAnswer: 4743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001110110101000 (base 2) to base 15.\nAnswer: 35bdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**6\/30 + d**4\/6 - 9*d**2\/2 - 4*d + 39. Let n(s) be the second derivative of u(s). Find h, given that n(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320564217.\nAnswer: 7, 47, 113, 35521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 1. Let y be m(-1). Let l(f) = -y + 1 + f**2 - f + 0*f. Calculate the remainder when 12 is divided by l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 68*a. Let p(i) = 108641*i**2. Calculate d(p(o)).\nAnswer: 7387588*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -2260.77?\nAnswer: -6782.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1\/c)**(-48)*c**(1\/8)\/((c*(c*c\/(c*c*c\/(c*c*c\/c**6)*c*c)*c)\/c)\/c))**(-30) assuming c is positive.\nAnswer: c**(-735\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m\/(m**(-4\/13)\/m*m)))\/m)\/m*(m\/(m*m\/(((m*m\/(m**12\/m)*m*m)\/m*m*m*m*m)\/m)))\/m*m*(m\/m**(-2))**0 assuming m is positive.\nAnswer: m**(-95\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 1, n: 2}. What is prob of picking 2 n and 1 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -232 - 48. Let n(h) = -h**2 + 21. Let r be n(4). Solve -k = -3*f + 20, 2*k - r*f = -0*k - i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 - 2*u**4\/3 + 4*u**3\/3 - 7*u**2\/2 - u. Let n be w(7). Suppose 0 = -r - n*r + 3. Solve -r*v + 3 = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p + 0*p**2 - 1\/3*p**3 - 42. Let r(c) be the third derivative of -c**5\/6 + c**2. Calculate o(r(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1291*i**8\/84 + i**5\/15 - i**4\/24 + i**3\/6 + i**2 - 7*i - 94. What is the third derivative of k(s) wrt s?\nAnswer: 309840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0 (b) -4 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -1 - 2)\/(7\/(-70)). List the prime factors of (8 - (-2776)\/20)\/((-4)\/w).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59, -133, -207, -281?\n\"Answer: -74*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 47*b + 8. Let p(y) be the first derivative of -4\/3*y + y**b - 2 - 8\/3*y**2. Factor p(s).\nAnswer: (s - 2)*(9*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3786038409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, g: 4, j: 3, u: 1, r: 3, q: 2}. What is prob of sequence ou?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**2 + 1245*n + 50. Let p(k) = -k**2 - 10. Determine -j(f) - 5*p(f).\nAnswer: -2*f**2 - 1245*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/35 in 10, -1\/2, -1.7, 3\/2, 2\/11, 3\/14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6766.\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3 + 3 + (-2 - 3 + 7)*(-3 + 2*w**2 + 3) + 2*w - 2*w - 4*w**2 + 45*w**2 - 21*w**2 + 23*w**2)*(5 - 2 - 2).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2. Let q(k) = -4*k - 4*k - 2*k + 5*k. What is q(t(d))?\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259434?\nAnswer: 2, 3, 7, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 61. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405023717?\nAnswer: 7, 57860531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812733071?\nAnswer: 43, 167, 391691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10787.023 and -0.4.\nAnswer: -4314.8092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**3 - 6*y. Let j be l(2). Suppose j*m - 864 = -7*m. Which is the biggest value? (a) 2\/11 (b) 0.2 (c) m (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 7 + 1. Let a = -1.93 - 3.11. Let w = 0.04 + a. What is the second biggest value in t, -2\/11, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-12) + 50\/8. Suppose -w + x = w. Find g such that -2*g - 9*g**3 - 3*g**2 + 4*g**2 - w*g**2 + 2 + 11*g**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -40*a - 240. Let k be l(-6). Suppose -2897 = -3*i - f - 132, k = -5*i - f + 4609. What are the prime factors of i?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a*k**4 - 137*a*k**3 + 2*a*k**2 + 9*k**4 - 19966*k**2 - k wrt k?\nAnswer: -72*a*k - 822*a + 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19081.\nAnswer: 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 1344.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17343*h**2 - 11866*h wrt h.\nAnswer: -34686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.4 + -0.4. Let k = -4 + y. Let d = k - 1.7. Round d to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 10) to base 14\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2090*v**2 - 9*v + 9. Let g(p) = p**2 + p - 1. What is 2*f(q) + 18*g(q)?\nAnswer: -4162*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 235?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m - 3*m - 9*m**2. Let g(n) be the second derivative of -n**4\/6 - 202*n. What is i(g(v))?\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.5, 2\/7, -5, -9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 762067398691.\nAnswer: -762067398690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -51. Let u(m) = m**3 + 6*m**2 + 2*m + 2. Let s be u(-6). Let a = r - s. Sort 2, -3, a in increasing order.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7622 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-34*24\/(-1224)))\/(-16).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 5*i**2 + 8*i**2)*(-3*i**3 + i**3 + 5*i**3) + 49*i**5 - 64*i**2 - 47*i**5 + 49*i**2.\nAnswer: 8*i**5 - 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 375*b*t**3*v**2 + 7*b*t**3*v - b*t**3 + 7*t*v wrt v.\nAnswer: 750*b*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + (-236)\/354*(-2 - (-19)\/2). Sort 3, -1, -52, f.\nAnswer: -52, -1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 750047605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - b + 9 = x, x = 3*b + 8. Is (-55)\/(-2)*10\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278196, -278194, -278192, -278190?\nAnswer: -278188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:23 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*m - 14*m + 293*m**5 + 2 + m**2 - m**2 - 105*m**5 wrt m.\nAnswer: 3760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10989.71496ns in weeks?\nAnswer: 0.000000000018170825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-325)\/(-78))\/(-25)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:14 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + a = -15698, -a - 344 + 23911 = 3*c. List the prime factors of c.\nAnswer: 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 15*a - 1165. Let n(j) = 11*j**2 + 31*j + 2337. Let h(y) = 9*i(y) + 4*n(y). Differentiate h(u) with respect to u.\nAnswer: -2*u - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - 10)*22\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.65441 + -67267945\nAnswer: -67267952.65441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -631 times 0.077\nAnswer: -48.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -69\/514249?\nAnswer: -69\/514249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(2\/(-12) - 0))\/(59\/413)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d - 60*d = 3*i + 4, -i + 4*i + 434 = -82*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -22728*k. Let a(t) = -3*t - 8. Determine v(a(f)).\nAnswer: 68184*f + 181824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 equal to -213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsyjssyjjysbysj. Give prob of picking 4 y.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + x - 65822, x = 158*b - 157*b - 16463. What are the prime factors of b?\nAnswer: 7, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9290188 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: What is the seventh root of 2388228089 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-4))\/(603\/(-1876)*20\/(-75))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5367358 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p**(-1\/2)*p))\/p)\/p)\/(p*p**(-6\/11)*p*p*p))**(-27) assuming p is positive.\nAnswer: p**(3537\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:33 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1306 and 132.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/2 + (-154)\/(-44). Do j and 3\/341 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1*sqrt(2736) + -4) - (3 + -4*(sqrt(2736) + 2 - sqrt(2736)) + sqrt(2736)))*-4)**2.\nAnswer: -40320*sqrt(19) + 1101456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 1320*r + 1318*r - 35.\nAnswer: -2*r - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 30 = -5*f, 4*b - 28 = -4*f. Let x(u) be the second derivative of 0 - 1\/12*u**4 - 1\/6*u**3 - u + 0*u**f. Find y such that x(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65442\/11 - 6540493\/1100. Let h = -58\/25 + n. Calculate the common denominator of 0 - 1 - (-166)\/28 and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66.25771 greater than -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3074*o + 1382 - 676 - 706.\nAnswer: -3074*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 197*u - 11393 - 8307. Put 6, u, -5, 5, -4 in descending order.\nAnswer: u, 6, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.42 - 0.02. Let d = z - 2.1. What is the fourth smallest value in -0.1, d, -0.4, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20568 + 1480963\/72. What is the common denominator of h and 35\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*q**4 - 1221*q**3 - 15*q**2 - 439*q**3 - 3*q**4 + 216 + 4970*q - 12*q**4 + 3104.\nAnswer: 5*(q - 332)*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*z**2 - 78*z**2 + 115*z**2)*(0*z**2 - 3*z**2 - z**2).\nAnswer: 224*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 234, 31 in decreasing order.\nAnswer: 234, 31, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h + 1 = -2*s, -2*s + 2 = 4*h. Suppose -4 = -i + h. Suppose 186 = 2*t + i*p - 171, -2*t = -4*p - 384. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001397 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 2*s**6\/15 - s**5\/30 - 31*s**3\/6 + 48*s. Let r(z) be the second derivative of b(z). Solve r(v) = 0.\nAnswer: 0, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55591371 + -114573812021\/2061. Let r = o + 6\/229. Factor 14\/3*s**2 + 0 + 2\/9*s**4 - r*s**3 - 4*s.\nAnswer: 2*s*(s - 3)**2*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 259*d + 808. Determine o(-5).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*w**3 - 18172*d*w + 363*w**3 - 24*w**2 wrt w.\nAnswer: -12*d*w + 2178*w - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 + m**3 + 2*m + 5024 - 4867 - 6*m**3 to the form b*m**2 + q + d*m**3 + a*m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 0 - 4 - 2*u**3 - 2 + 2511*u.\nAnswer: -2*u**3 + 2511*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 187769901 from 72640.\nAnswer: -187697261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 10:39 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172739, 345614, 518489, 691364, 864239?\nAnswer: 1037114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -256 + 255. Let q be (u\/7)\/(34\/(-476)). Let d(y) be the second derivative of -y**5\/20 + y**4\/12 - y**3\/6 + y**2\/2 + 3*y. Give d(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/12 - (-420)\/630*3\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -174 - -61 - -84 - (-91 - -1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 65 = 7. What is the highest common divisor of 60 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = -c, -2*c - 14 + 3 = 5*k. Let p = k + 0. Let z = -1\/300 + -2\/25. Sort z, p, 1.\nAnswer: p, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2341033 (base 5) to base 3.\nAnswer: 2012100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((3 + -2 + 2*sqrt(832) + (sqrt(13) - (3*sqrt(26) - sqrt(26))\/sqrt(2)))*4 + 5))**2.\nAnswer: 1080*sqrt(13) + 46881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291886186?\nAnswer: 2, 241, 605573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 745165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 3*i**2 - 7*i**2 + 2*i**2 - 33*i + 26 to q*i**2 + v + c*i and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/82 and 21\/451.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 110, 2\/15, 1\/3, -1\/2, 4 in descending order.\nAnswer: 110, 4, 3\/7, 1\/3, 2\/15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965311571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27516771?\nAnswer: 3, 827, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 17*t**3 - t**2 - t + 1. Let h(u) = u**3 + 8*u**2 + 6*u - 2. Let k be h(-7). Let d be 2\/(k - 1 - 2). Give m(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*l - 75*l = 54. Let r = l + 36. Calculate the lowest common multiple of 60 and r.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 425\/(-15) + 2\/6. Let a = -37 - -24. Let v = a - g. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*d**3 + 3*d + 26*d**3 + 10*d**3 as y*d**2 + c*d**3 + k + t*d and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -441*n - 5929. What is g(-16)?\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9485012*h**3*y**2 + 404042*h**2 - 8*y**2 wrt h?\nAnswer: 56910072*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**3\/3 + 3*l**2 - 3*l - 1. Let b be w(5). Suppose b*h + 100 = 6*h. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1069477 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.84568 to two decimal places.\nAnswer: -6.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 7*u = -10. Let k(x) = 5*x + 151*x**3 + 7*x**2 - u - 150*x**3 - 2. Determine k(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*j - 2597 = 562 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5212, 43578, 147706, 350476, 684768, 1183462, 1879438?\nAnswer: 2805576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10200.964 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k + 494 = -289. What is the third derivative of -235*h**2 - 270*h**2 - 2*h**4 + k*h**3 + 410*h**2 wrt h?\nAnswer: -48*h + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 8. Let n be u(-7). Let p(a) = -14*a - 2. List the prime factors of p(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7550 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 16. Suppose -3*t = -s*t + 3*c + 63, -2*t = c + 43. Let y = 52 + t. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(98) - sqrt(98))*-1 - -4*-2*sqrt(242)*3)**2.\nAnswer: -2710*sqrt(2) + 146907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17124 divided by 17124?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 16bd8?\nAnswer: 16bdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 0, 1\/9, 6\/107 in ascending order.\nAnswer: 0, 6\/107, 1\/9, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 10 = -7*y - 3*o, -5*y - 3*o + 14 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2502 is divided by 74.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1164, 507, -146, -795, -1440, -2081?\n\"Answer: 2*i**2 - 663*i + 1825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**3 + 36*l**2 - 432*l - 40. Determine q, given that g(q) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3408826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*s + 2*p - 362, -s - 4*p - 64 = 0. Let l = s + 185. What is the remainder when l is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -14*d**2 + 3*d + 1. Let q be l(-1). Let j be (76\/q + 4)*-4. List the prime factors of (-192)\/(j\/6 - (-12)\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16001?\nAnswer: 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.6 - 12.6. Put 3, 3\/4, v in decreasing order.\nAnswer: v, 3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 16) to base 13\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 2 + 48 + -141 + 72\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -601 - -630. Let l be ((-5)\/(-5) - 1)\/(-3). What is the remainder when (-164)\/(l + (-4)\/2) is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*s**3 + 43*s**3 + 48*s**3 + 93*s**3.\nAnswer: 298*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.21 + -13.93. Let o = h + -0.28. Let x = o + 9.0000008. Round x to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 - -14329?\nAnswer: 14308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3\/9 - 2*j**2\/3 + 40*j\/3 - 200\/9 = 0.\nAnswer: -10, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5996*w + 239840. Determine a(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**7\/6 - 43*r**6\/120 - r**5\/25 + 17*r**4\/30 - 8*r**3\/15 - 147*r**2. Determine g, given that u(g) = 0.\nAnswer: -4\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004851121003 rounded to 5 dps?\nAnswer: -0.00485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*p - 33 = 0, -5*p - 12 = -z - 0*p. Let d be (6\/8)\/(2\/8). Suppose d*y = z*y. Solve y*s - 6 = -s - 2*h, 5*s + 18 = 2*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 7 + 2. Suppose 1671*n - 1226 = 3787. Sort n, 1, m, 11.\nAnswer: 1, n, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -5*k - 5*u, -86021 + 86127 = 2*k + 4*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y**2 + 2*y - 2. Let o(m) = 22*m**2 + 4*m - 3. Determine -5*d(l) + 3*o(l).\nAnswer: 11*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 44 = a - 2*r, 106 = 5*a + 4*r. Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -369*w**2\/4 + 4503*w\/8 - 225\/4 = 0.\nAnswer: 25\/246, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 9. Suppose 2*r + 5*f - 17 = 20, -2*r + 3*f + 13 = 0. Let l be (24\/(-6) + r)*(-2 - -3). Let z be m(l). Is 14\/11 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -270*a**3 + a + 2. Let l be s(-1). Round l to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/(-30)*(-537)\/(-358)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (32 - (-3 - -36))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8602631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 1699\nAnswer: 11\/1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -4*b + 589 - 109. What is the smallest common multiple of b and 1701?\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33232 divided by -268\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5814*o - 29070. Calculate p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -2)*3 - sqrt(68) - sqrt(68))**2.\nAnswer: -24*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:34 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f - 3 + 8*f + 3 + 1 - 2*f**3 to the form k*f**3 + s + u*f + g*f**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 538\/35, 12, -1.6 in descending order.\nAnswer: 538\/35, 12, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 10\/(-6) - (-1)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 32 + 8 + 0.\nAnswer: -2*z + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 31 (c) 0.957\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 54*j + 20*j = -17*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.328885972 to 4 dps.\nAnswer: 0.3289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54976 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1376139650?\nAnswer: 4128418950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 + 2 + (-44)\/(-12). Suppose 0 = 3*u + u + 3*m + 41, 0 = -x*u - 2*m - 60. Sort 5, 2, u, 1 in decreasing order.\nAnswer: 5, 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4649\nAnswer: 5\/4649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/(-50))\/(1\/5). Suppose x - 9 = -x - j, 2*x = i*j - 6. Solve -x*f - 4 = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = 3*k. Suppose 5*r = 9*r + 24. Let h = k - r. What is the remainder when 13 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.836 + -0.024. Let h = -0.86 - i. Which is the nearest to h? (a) -3\/8 (b) -0.5 (c) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 682.5 + -178.5. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 4*c + 158 + 152 - 494 + 78 - 17*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.1269 and -4?\nAnswer: 60.5076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/42*-2*-7. Suppose w*p - p = 4. Suppose -p*t + 113 = -t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -21.4?\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4\/3 + 76\/5*x**2 - 14\/15*x + 56\/15*x**3 - 208\/15*x**4 - 14\/5*x**5 = 0?\nAnswer: -5, -1, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 659 + -5289\/8. Calculate the common denominator of 27\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1118)\/390 - (-24)\/9. Which is greater: u or -3\/64?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - -4.11. Let s = v - 4.2. Let r = -54 - -52. What is the second smallest value in r, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 17. Let p(x) = -3*x - 39. Let z(c) = -5*i(c) + 2*p(c). Suppose 4*q = -q + 35. Let u(y) = -3*y - 5. Let t(n) = q*u(n) + 5*z(n). Give t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6052, -5984, -5884, -5752, -5588, -5392?\nAnswer: -5164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 3 - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3397*v**2 - 15*v + 4896. Let r(u) = 1695*u**2 + 8*u - 2448. Let a(b) = 6*n(b) + 11*r(b). Differentiate a(k) with respect to k.\nAnswer: -3474*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h\/(h**(3\/23)*h))\/h*h))\/h)\/(h*h*h*h**(-24)) assuming h is positive.\nAnswer: h**(463\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/20 - 29*t**4\/12 - 19*t**3\/6 - 51*t**2 - 81*t. Let j be p(30). Calculate the greatest common factor of 57 and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120343 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.9981 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 = 0, -k = 439*n - 438*n + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8745459 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d. Let l be (2 - 0)*(-126)\/(-12). Let s be (-21250 - d)*(l - -3). Round s to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 43*j - 70. What is d(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -0.1 (c) 0.02 (d) 1 (e) -6 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhh when four letters picked without replacement from {b: 10, h: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-52) - 92\/78. Let p = -5\/3 - z. What is the smallest value in -2\/13, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3 - 1110934*y**2 + 3332820*y = 0.\nAnswer: -555470, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 56*b**2 - 2*b. Let n be x(1). What is the second derivative of 14 - 64*r**3 - r + 54*r**2 - n*r**2 wrt r?\nAnswer: -384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 510903724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:38 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 359 + v**2 + 171 + 169. Let u be 0\/(2\/(-1) - (4 - 4)). Calculate c(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j**2 + 2*j - 28*j**2 + 90*j**2 - 5 + 13*j**2 as c*j**2 + u*j + n and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 84 (b) 1 (c) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 26) + 31 - 50 - -62\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/3 (b) -2\/21 (c) -2\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1024515 (base 6) to base 11.\nAnswer: 34880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 + 6740?\nAnswer: 6682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let y be (k\/(-10) + 1)*30. Suppose -p - y = -n + p, -44 = -n - 3*p. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) 11 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(2548*c**3 - 7 + 7 - 2547*c**3 - 44*c**2) as q + b*c + y*c**2 + m*c**3 and give y.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 3, 1\/4, 0.1, -0.1708?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c = 4*x, 0 = 2*c - 5*x + 5. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 423 = 527. Solve 3*m = -s + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011256 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -22028*b**2 + 188. Let a(d) = 9*d**2. Calculate y(a(z)).\nAnswer: -1784268*z**4 + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 1632 = -180*f, -39726*f + 39721*f = 4*x + 29 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*z = -113, 3*o - 10*z - 69 = -7*z. What is the lowest common multiple of 9 and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f - 3*f**3 + 78*f**2 + 5*f**3 - 78*f**2.\nAnswer: 2*f**3 + 62*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -63, -109, -173, -261, -379, -533, -729?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u**2 - 30552*u - 4*u**3 + 5*u**3 - 12*u**2 + 30514*u - 12*u**2 + 30. Determine k(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26524*a**3 + 1425 wrt a.\nAnswer: -79572*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*g + 900. Let v = -1 - g. Suppose -2*i - v = 5*u - 2436, 0 = -5*u - 3*i + 2258. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + -138. Suppose -d = -3, d + 2*d - 33 = -4*t. Which is the third biggest value? (a) t (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3239*v - 2. Let o(n) be the first derivative of -n**3 + 2594. What is o(y(d))?\nAnswer: -31473363*d**2 + 38868*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -1*sqrt(110))*3 + sqrt(110)*2*-5)\/(sqrt(10) - (sqrt(10) - -1*sqrt(360)) - sqrt(90)*-3).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.1 rounded to zero dps?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 519227*l*x**3 + x**3 - 3875*x + 16 wrt l?\nAnswer: 519227*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 14*q + 14 = 0. Suppose q*r = -2*r + 1472. Calculate the greatest common divisor of r and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 89869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-4)*74\/(-2590).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-45)\/(-24))*(-12)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 times 3.7?\nAnswer: 954.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75899?\nAnswer: 71, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times 27.1234?\nAnswer: 867.9488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 110 + 21 = 5*o, -5*o - 103 = 2*i. Let f be 19\/i + (-2)\/(-6). Which is the biggest value? (a) f (b) 0.5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5710 = 2*z - 5*w - 3433, -13708 = -3*z + w. Is z a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/16 - 46\/(-8). Let y be (w\/(-8))\/((-2)\/8). Suppose 16 = y*j + j. Solve -5*o + j = -11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -59*u**2 + 6*u. Let l(s) = -470*s**2 + 47*s. Let w(h) = -47*c(h) + 6*l(h). Let a(r) = -2*r**2. Calculate w(a(i)).\nAnswer: -188*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 9*i - 16. Give s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 5. Let b be t(5). Let j(m) be the first derivative of m**2 + b*m - 4\/3*m**3 + 2 + 1\/2*m**4. Factor j(s).\nAnswer: 2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102581*k - 155570 wrt k.\nAnswer: 102581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -99. Which is the nearest to 3? (a) 1\/3 (b) z (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Let n be z(-7). Let c(q) = q**2 + 6*q + 3. Let d be c(n). Suppose -d*i = -5*i - 2. What is the closest to -10 in -2, -0.4, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 433 * -4.\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -214084 (base 10) to base 2\nAnswer: -110100010001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m + 14985 + 15007 - 45016 + 15019. Let f(x) be the third derivative of -11\/8*x**4 - 7\/2*x**3 + 0 - x**2 + 0*x. What is 5*f(d) - 21*k(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (529211*q - 264605*q - 705 - 264602*q)*(4 - 2*q**2 - 4).\nAnswer: -8*q**3 + 1410*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 5*j + 2. Let v be s(-5). Suppose 4*q - v = 18. Suppose -5*x - 2*c = -49, -q*x + 3*c + 30 = -x. What is the remainder when 17 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-9))\/(36\/(-270))*(-2538)\/(-564)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -116, -172, -226, -278, -328?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*r = 35, 2*f + r = 4*r + 36. Suppose z - 6*z + f = 0. Suppose -z = -3*u + 6. Solve -5*m + n - 23 = 0, -m = -u*m + 2*n - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c - 43*c + 1 - 2*c in the form i + p*c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 579 divided by -1\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 550 - 323. Let u = -223 + o. Solve z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*20835\/(-2315).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 0*s**3 - 1\/6*s**4 - 4*s + 0 + 0*s**2. Let r(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 10084.36.\nAnswer: -10084.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -67*c. Let j(t) be the first derivative of -17*t**2\/2 - 123. Give 9*j(f) - 2*o(f).\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00883065 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -101132210?\nAnswer: -101132203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-5\/2)*w*w\/w**(6\/7)*(w**(-2\/39))**(1\/2) assuming w is positive.\nAnswer: w**(-209\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19486.86 nanometers?\nAnswer: 0.00001948686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2560562547.\nAnswer: 3, 389, 797, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*u + 121*u = -58 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*u + 19. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1077 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(n**4 + 2*n**4 + 0*n**4) + (-2*n**4 - 2 + 2)*(-3 - 1 - 20).\nAnswer: 57*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 1)*(-11*q + 11*q + 48*q)*(-2 + 2 - 2) to the form d + f*q and give f.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 23*j**2 + 109*j + 33. Let h be p(-27). Let k be -8*(-1 - 0 - 23). What is the highest common divisor of k and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**(-12)*g)*g)*((g**(-21)\/g)\/g*g)\/g)\/(g**(5\/8)\/g**(-2\/41)) assuming g is positive.\nAnswer: g**(-12029\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 326582141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffzzfofoj. Give prob of picking 1 f, 1 j, and 2 o.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-25) + (-4)\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*o + 30*b**2 + 275952*b*o - 203678400*o wrt b.\nAnswer: -2*b*o + 60*b + 275952*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + -2*sqrt(2))*1.\nAnswer: -2*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2229 = 2*z - 127. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 + p - 4. Let m be a(6). Let x(q) = -m*q - 2*q + q. Let c(y) = -y**2. Determine c(x(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/4 + -4)*-62. Let m = -37 - l. What is m rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 11*s + 11. Let o be w(-10). Does 9 divide 14\/(-70) + o\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1680977*s + 142*s**3 + 1680940*s - 3361917*s.\nAnswer: 142*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326738233.\nAnswer: 31, 79, 133417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*c - 276*c - 13717 = 22847 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014223371 rounded to six decimal places?\nAnswer: -0.001422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50163?\nAnswer: 3, 23, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 962 and 23569.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/36 of a hour?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 6*u + 6. Let x(a) = 1. Let n(b) = -m(b) + 3*x(b). Suppose -20*g - 33 - 47 = 0. What is n(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 5*t + 32. Let o = -1 + t. What is the remainder when 33 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/189 and 139\/171180.\nAnswer: 1198260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 27 - 12 + 14 - 7*b.\nAnswer: -7*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 75366*q**2. Let z(o) = o. Calculate z(y(s)).\nAnswer: 75366*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11312 (base 4) to base 3.\nAnswer: -111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 21 - 15. Which is the nearest to q? (a) 0.5 (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12 + (-159)\/18 + (0 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/12 - t**2\/2 + 2*t\/3 - 20. Suppose p(g) = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 16023*j**2 - 104276295*j + 120588551469.\nAnswer: 3*(j - 2061)**2*(j + 9463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 5*j - 2. Let z be k(4). Suppose 5*c + 0*u + 2*u - 8 = 0, -5*c - 8 = -z*u. Solve -3*n + 2*w - 8 = c, 4*w - 5 + 13 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810572 is divided by 1049?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11252 - 11257. Let m = 0.2 + -0.3. What is the fourth biggest value in h, 1, m, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*z**4 + 3*z**3 + 8478*z**2 + 29229249*z + 2.\nAnswer: 804*z**2 + 18*z + 16956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -10. Suppose 5*a - 3*d = -d + 37, 0 = 5*a + k*d - 32. Suppose -4*m + a*m = 438. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*o + 59*o - y - 13, -6 = o + 3*y. Sort o, -5, -4, 0, 4.\nAnswer: -5, -4, o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 2*b**2 - 4*b + 7. Let m be q(3). Let t(z) = -z**2 + 3*z + 7. Let k be t(m). Suppose 15 = -k*p + 102. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 154346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*i - 518*i - 3*s = 78, 0 = -4*i - 2*s + 92 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-28)*-25*18\/(-675)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t - 5, 4*n + 2*t - 18 = 0. Suppose -2*y + 2 = -3*y, -335 = -b - y. Suppose 5*s - 115 = 2*d, n*d - 65 = -3*s - b. Is d bigger than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 5*r + 1. Let h be u(8). Let d = h - -28. Solve 5*n = d*q - 20, q = -5*n - q - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 8, -3*j = -o - 0*j + 18. Let v(f) = f**2 - 37*f + 154. What is the smallest common multiple of v(33) and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781421 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139291 + 139291.1900016. Let m = t + -0.19. What is m rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108230*i**2 + 114773*i wrt i?\nAnswer: 216460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4\/15 + 7284*b**3\/5 + 68419082*b**2\/15 + 15897956424*b\/5 + 9527363294792\/15 = 0?\nAnswer: -5029, -434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -10.6. Let b = 3.5 + -3. Let l = 8 - 3. Sort l, n, b in decreasing order.\nAnswer: l, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -283.2 - -280.2. Which is the third biggest value? (a) 0 (b) -0.4 (c) 5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 4:11 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + 2 + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -521*q - 25. What is the tens digit of a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*s - 916, -5*j - 676 = 4*s + 468. Let z = 236 + j. Let n = 8\/11 + -29\/55. Which is the smallest value? (a) 4\/9 (b) 0.5 (c) n (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 41*k + 187. Calculate o(-13).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.116 + 0.186. Let b = -26 - -38. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2 - (0 - 5). Suppose 3*t + s + 4 = 0, y*t - 3*s + 0*s = 0. Let n(o) = -3*o - 1. Give n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g. Let c be k(6). What is the tens digit of ((-220)\/12 + -5)*c\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -477 - -482. Suppose o - 4 = 1. Solve -3*z + o*q = -9, -q = -5*z - j - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1139 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -542*b**2 - 542*b**2 + 1088*b**2 - 117 to v + l*b**2 + p*b and give v.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 0) + 35 + -39 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*j**3 + 5*j**3 - 7 + 5*j**4 - 3*j**4 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {a: 1, w: 2, n: 4, v: 1, f: 2, o: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/8)\/((-8)\/(8 + -16))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**4 + 16*k - 6\/5*k**5 + 0*k**2 + 28 + 0*k**3. What is the derivative of v(y) wrt y?\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((5\/15)\/(2\/(-6)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11191, -22603, -34093, -45661?\nAnswer: -57307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -25870\nAnswer: -25870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5*8\/32*4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134, 121, 108, 95?\n\"Answer: -13*o + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3120 - 1102?\nAnswer: -10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 28. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3\/3 - 24*f**2 - 5618*f\/3 - 17864 = 0.\nAnswer: -29, -12, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.7 - 6. Let h = 0.06 + -0.06. Put c, h, -0.4 in descending order.\nAnswer: h, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/156476?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w + 127. Let n be a(-31). Suppose 4*s + b + n - 14 = 0, 2*b + 14 = s. Solve -4\/7*l**2 + 0 + 0*l + 2\/7*l**s + 2\/7*l**3 = 0 for l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1.9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -41, -63, -85, -107, -129?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d. Suppose -l + 5*l - 12 = d. Suppose -3*j - 5*h - 770 = 0, -h = l*j + 2*j + 1298. What is j rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + 6 + -6 + 8 + -5 + -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*w + u + u, -339603*w = -339608*w - 4*u + 41 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y - 3*y - 521356*y**2 + 521418*y**2 + 1 to o*y + p + x*y**2 and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + b**4 - b**3 - 11 + 3*b**3 + 2*b**2 as r*b**4 + o + c*b**2 + f*b**3 + a*b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 76\/9 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from kkn?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*w + 39*w - 44. Suppose s - 14*c - 17 = -w*c, 2*s + c = -1. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a06d7b - 4?\nAnswer: 1a06d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -540494537*f**2*r**3 + 49*f**2*r**2 - 256217*f**2*r + 4*f**2 wrt r.\nAnswer: -3242967222*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70571 - 70543. Suppose -5*g + 0*g - 420 = -5*c, -4*c - 3*g + 357 = 0. Calculate the remainder when c is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/38 or 0.341707?\nAnswer: 0.341707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 h when three letters picked without replacement from {f: 3, h: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p, 8104 = 4*t - p - 25250. What is t rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (-47 - -32)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 417 + 106 + 108 + 3*g + 104 + 100. Let z(n) = 4*n + 2. Let q(i) = 3*i + 1. Let u(r) = 5*q(r) - 4*z(r). What is 5*l(y) + 2*u(y)?\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50384, -201526, -453426, -806084, -1259500, -1813674?\nAnswer: -2468606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623505 is divided by 617?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.1. Suppose -190 = -q - 187. Put f, -0.13, q, -2 in increasing order.\nAnswer: -2, -0.13, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1. Let j(z) = -z + 3. Suppose -10*a + 894 = 214. Let f = 72 - a. Calculate f*n(b) - 2*j(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 288*b**2 + 1533*b - 1818.\nAnswer: -3*(b - 101)*(b - 1)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**2\/11 + 68964*r\/11 + 131547360\/11.\nAnswer: -6*(r - 13160)*(r + 1666)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/30*-48*29\/232.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.053 + 23.053. Which is smaller: s or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12810 rounded to the nearest 100?\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/2)\/((-1)\/5). Let h = -14 + 11. Let z be (-12)\/8*h\/(-27). What is the third biggest value in a, z, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*a - 4*a + 77, 107 = 4*c - 3*a. Let n be (-1)\/(-4) + (-21)\/(-12). Let u = n - -7. What is the remainder when c is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79873 + -44838. List the prime factors of l.\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:07 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551987345.\nAnswer: 3, 5, 29, 1229, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6820, 13622, 20418, 27208, 33992, 40770, 47542?\nAnswer: 54308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237 - -237.444. Let f = 0.244 - r. Let d = 0.01 - 3.01. Which is the nearest to 0.1? (a) f (b) d (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvwwvvvvvvvvvvv. What is prob of picking 2 w and 2 v?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(5) - 3*sqrt(605) - (sqrt(80)\/sqrt(4) + 1)*4.\nAnswer: -42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 38831.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cc + -12?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + -10 + 41 + 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 7, 5, 1, -18, -5 in ascending order.\nAnswer: -18, -5, 1, 5, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.2, -3, -4, 3\/161, 1\/4 in ascending order.\nAnswer: -4, -3, 3\/161, 0.2, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6 - (-7)\/(-30). Let f be (-57)\/((-1)\/1*5\/5). Let h = -55 + f. Which is the nearest to h? (a) -1\/4 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 + 3 - 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1 - sqrt(21)\/sqrt(3)*-5 - (sqrt(98)\/(sqrt(7)*-2))\/sqrt(2))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/4 (c) 0.4 (d) -3 (e) 436.3 (f) 2 (g) -2\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40408177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 10:16 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1763\/12 + 147. Let f(l) be the third derivative of 0 - p*l**4 + 0*l**3 + 2*l**2 + 0*l. Give f(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*p - 2190. What is p rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-1\/7)\/t)**(-43)\/(t*t*t**(-21)*t*t**(-2\/3)) assuming t is positive.\nAnswer: t**(-382\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477 by -159.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2470*k**6 - 80*k**5 - 97630*k**2 - 11*k wrt k.\nAnswer: -296400*k**3 - 4800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 - 90. Suppose -5*g = 2*o - 387, -b*g - 13*o + 8*o = -159. What is the remainder when g is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 7. Let y = -8 - -5. Calculate the remainder when t(y) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/(-315))\/(8\/364)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01201 rounded to four dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -430, -1240, -2516, -4264, -6490?\nAnswer: -9200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5.7 (b) 11 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*d + 3*d + 90, d + 180 = 2*c. What is the common denominator of 2 + -2 + 141\/c and (((-3)\/(-18))\/((-4)\/(-62)))\/1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2) + (-16)\/(-8). Let u = 28 - 28.8. Let i = 0.2 - u. What is the third smallest value in 1\/3, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r. Let z(b) = -2*b - 6. Give l(z(v)).\nAnswer: -26*v - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(238\/(-4) + 3). Let v = j - 111. Solve 2*l = -0*l - v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85263 and 4.\nAnswer: 341052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 59\/472*336*(-8)\/8\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:08 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797487261.\nAnswer: 3, 265829087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*u**3 - 444*u**3 + 108*u**3 + 109*u**3 + 111*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-5)\/(-2)*(-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*t - 30. Is (t + -1)\/(-2) + 88 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*f - 484 - 208, -2*z + 458 = f. Let w be z\/(-14) + (-6)\/(-21). Let n = w - -22. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 105728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 32*g + 114. Suppose 4*n = -5*w + 1095, 6*n + 3*w - 822 = g*n. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 48*r - 190*r + 63*r + 4 + r**2 + 61*r. Determine f(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.016 and 113457.\nAnswer: 228729.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -56. Suppose -w*q - 13015 = 22585. Is (-9)\/27 + q\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1077 and 3935505?\nAnswer: 1412846295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10. Let n be d\/((4 - 0)\/8). Let j = 1.6 - 0.6. Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-238)\/192))\/((-8)\/42).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -2, 20, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 21 = 2*p. What is the remainder when 34 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 362 + -2?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/3)*f*f*f\/(f\/(f*f**(2\/3)\/f))*f assuming f is positive.\nAnswer: f**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -71476?\nAnswer: 71473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 + 16*l - 60 + ((-3 + 2 + 2)*(-5 - 2 + 4) + 2 - 7 + 1)*(-5*l - l - 19*l) to r*l + v and give r.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -815634 + 2.\nAnswer: -815632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.5 (c) -4454\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**7\/14 + 11*y**4\/12 - 9*y - 4. Let o(s) be the first derivative of v(s). Find the third derivative of o(c) wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzh when three letters picked without replacement from hbblzll?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 2*w - 2*w**5 + 2*w**4 + 2*w**5 - 2*w**4 + (-w - 1 + 1)*(w**4 + 3*w**4 - 3*w**4) - 24*w**5 + 42*w**5 - 21*w**5.\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 16*k**2 + 14*k - 21. Let i be f(17). Calculate the lowest common multiple of (-2)\/9 - 304\/i and -3 + 19 + (1 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + q - 25. Let y(x) = 2*x**2 - 2*x + 50. Let m(h) = 7*d(h) + 3*y(h). Let j be m(0). What is the units digit of 2\/(-4)*(j + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -46 - 21. Let u = o + 935\/14. Find the common denominator of u and (-95)\/(-6)*98\/(-140).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2700 and 62820.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 - 4*t + t + 3*t - t**2 + (2*t - 3*t + 2*t)*(92*t - 50*t + 403*t).\nAnswer: 438*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.21 (b) -1 (c) 7 (d) -0.2 (e) 2\/121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 8\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 10:55 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0271 - 4.5729. Which is the third biggest value? (a) 0.3 (b) n (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -23.\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 - 3*s + 1. Determine o(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f = -3258 - 13734. What is the remainder when f is divided by 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -237, -234, -241, -264, -309, -382, -489?\n\"Answer: -u**3 + u**2 + 7*u - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4160*o - 3867. Is i(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-z + 2*z - 2*z)*(-2*z**2 + 8*z**2 + 0*z**2).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 678531.39 + -116280644.39. Let w = 115602583.00451 + a. Let z = 470 - w. Round z to four dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7160238 to the nearest integer?\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 equal to -1752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 167300.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f - 542. Let u be b(-121). Which is greater: u or 542?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.099 - -0.399. Let s = 8 - 11. Sort s, 6, n.\nAnswer: s, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 12. Determine w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -78 divided by -3019762\nAnswer: 39\/1509881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -1\/2*n**3 + 0 - n**2 - 83\/24*n**4 + 0*n. Is r(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1\/712, 11, -0.11 in descending order.\nAnswer: 11, 1\/712, -0.11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-1\/6)*k*k)\/k)\/k*k)\/(k*k*k\/k**(-2)))\/(((k*k**(1\/3))\/k)\/((k**(2\/9)\/k)\/k)) assuming k is positive.\nAnswer: k**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let v = 61 + -21. Suppose 4*b + v = 9*b. Solve b = y*a, 3*d + a + 3*a - 1 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/8 less than or equal to 15.38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 = -4*j - 15, -4*j = 2*d. Suppose d*f - 10*f + 48 = 0. Let s be 4 + (-5)\/4 + 2\/f. Solve 0 = -2*h - 3*v - s, 2 = 4*h - h - 2*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/24 - o**3 + 50*o**2. Give f(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 106\/40366755 and -37\/4485195.\nAnswer: 40366755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.47284 * 3194\nAnswer: -1510.25096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/2 + (-2)\/(-4). Let l be (n\/(-14))\/((-2)\/(-14)). Let i = 5 + 12. Solve -2*d + 12 = -2*v + l*d, -4*v + d = i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w + 87*w - 712272 = 0. Is 209 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 14185?\nAnswer: 14185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b + 31?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/11730 and 139\/30600.\nAnswer: 703800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-5\/4)\/(m*m**9*m*m*m\/(m*m**(2\/7)\/m)))**(5\/9) assuming m is positive.\nAnswer: m**(-535\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18 - 67*w - 106 - 194*w - 66 - 99*w wrt w?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -125944 and 17?\nAnswer: -2141048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*-6*(69\/(-184))\/(1\/(-12))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*u)*(3 + 0 - 2) + 4 - 2*u - 4 - 1 + 1 + u + (3 - 2 + 1)*(-2*u + u + 3*u) - 4 + 4 - 2*u - 1 - 2*u + 1 in the form n + y*u and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - -4588.98.\nAnswer: 4513.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1*(2 + -6). Suppose 5*d = j + 16. Calculate the common denominator of 58\/d + 3\/9 and 125\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12114 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 31*d**2 - 1254*d + 278. Let n be w(23). Suppose -2\/7*o**n + 0 - 4\/21*o - 2\/21*o**3 = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(45) + sqrt(5))*4 - (sqrt(605) + -1)**2)*1.\nAnswer: -601 + 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*g + 6, -x + g + 2 = -4*g. Suppose t + x = 3*t. Calculate the remainder when 11 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 391292923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 7*j + 5. Let b be z(-7). Let c = b + -2. Factor 1\/3*h**2 + 0 - 1\/3*h**4 + 1\/3*h - 1\/3*h**c.\nAnswer: -h*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2032 divided by 508.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.814 + 1.571. Let w = s + -0.085. Let k = 5 - w. Round k to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 0. Let i = p - -76. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115786.866 rounded to the nearest one hundred?\nAnswer: 115800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from apaaappatap.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -83152.\nAnswer: -83151.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b = -61 - 74 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 508*f = 36*f - 10971 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.2 (c) -0.0251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -585, 317, 2767, 7539, 15407, 27145, 43527, 65327?\nAnswer: 93319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/71886 and 33\/83867.\nAnswer: 503202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 82437.903 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15119.\nAnswer: 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (236\/56 - 4)*3\/(-36). Let j = 47\/504 - l. Put j, 2\/5, -18, 4\/7 in descending order.\nAnswer: 4\/7, 2\/5, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*u = 2*u - 114, 5*n - 2*u = 146. Let x = n - 29. Solve x = a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*p**2 - 92*p**2 - 339*p**2)*(1 - 2 + 0) - p**2 + 3 - 3 + (0*p - p + 2*p)*(1 + 2*p - 1) + p**2 - p**2 + 2*p**2 + 0 + 0 - 2*p**2.\nAnswer: 380*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*w + 24 - 115. Let f(u) = 18*u - 20*u - w - 6 - 2. Calculate f(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329810961 to the nearest integer?\nAnswer: 18161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1*1*-2. Let m be ((-3)\/(-2))\/(p\/6). Differentiate -2 + 0 - 2*n**m + 3 with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -69 (b) -5 (c) 5 (d) 6511.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -950*v**3 + 38003*v**2 - 121*v + 52. What is k(40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-15)*18\/(-8). Solve -4*a = -20, -3*a = 2*l - 7 - c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*51\/(-1122)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a54014 (base 12) to base 10\nAnswer: 2598928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.0531 (c) 0.93 (d) -0.1012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4685.175km in nanometers?\nAnswer: 4685175000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287335463 to the nearest integer?\nAnswer: 16951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.6 and 272854?\nAnswer: 3983668.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 160, 2321, 8494, 20689, 40916, 71185, 113506?\n\"Answer: 335*u**3 - 4*u**2 - 172*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18711374 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-15 - ((7 - -11) + -40)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/9 (c) 5 (d) -5\/4 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81223.96ml to litres.\nAnswer: 81.22396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 10*v**2 + v + 3. Let y be g(10). Suppose z - y = -0. Suppose 5*q - 35 = 3*a + z, -3*a - 12 = -2*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5505?\nAnswer: 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-468)\/(-585)*(-10)\/84?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, b: 7, d: 3, u: 1, a: 2, t: 1}. Give prob of sequence vb.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7293 and 13156?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -r + 7, 26 = 4*r - z - z. Let w(k) = -3*k - 1. Let l be w(-7). Suppose 0 = 5*y + l, -5*y = i + 1 + 3. What is the remainder when i is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190274752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/20)\/((-7)\/(-5))*(-154)\/(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 389\/7. Which is the smallest value? (a) -2 (b) 86 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/(-15 + 41) - (32\/11 + 1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6103*w**3 + 1603*w**3 + 1573*w**3)*(2*w + 4*w - 3*w).\nAnswer: -8781*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-5))\/((-12)\/(-5320)). Let d be (g\/(-42))\/(1\/(-3)). What is d rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7 + 2*v**2 - 7. Let p(l) = -2*l - 6. Let q(d) = -d - 9. Let o(a) = -6*p(a) + 4*q(a). What is g(o(u))?\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 + 4. Let n be c(0). Suppose 0 = h + 3*o + o - n, 4 = -2*h + 4*o. Suppose 3*x - 39 = -h*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1709890 - 7090110. What is g rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -8.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380 divided by -5.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14486963 is divided by 3621740.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -3 - (0 + 1)) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*f**2 + 161*f**2 - 79*f**2 + 2*f + (-2 + 2 + 2*f)*(-6*f + 2*f + 2*f) + (-2*f**2 - f**2 + f**2)*(-1 + 1 + 1) - 25*f**2 + 8*f**2 + 9*f**2 - 2.\nAnswer: -18*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 44, 84, 120, 140?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + v + 3 - 4)*(6*v**2 - 12 + 12).\nAnswer: 6*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000211685544 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -8, -10.013 in ascending order.\nAnswer: -10.013, -8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -128\/5 (b) -4 (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*z + 320 = 45 - 353 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2) + 36\/810*9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586*z + 583*z + 957 = 0. Calculate the smallest common multiple of 29 and z.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3708 + 12\/(-198) + (-1141)\/231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 2032430242?\nAnswer: 2032430241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 4*a**2 + a + 19. What is the tens digit of c(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 175 = 2*h, 51*h + 52*h - 152*h + 12*o = -50*h - 682 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8409641 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.6 - -8. Sort p, 4, -3 in descending order.\nAnswer: 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-11 - 2) + 9 + 2 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x + 5. Let v be p(-7). Suppose 10 = v*r, -10 = -3*c - 2*r + 30. What is the smallest common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u + 2. Suppose -5*t = -4*t + 4. Let c be s(t). Let l = 47 + c. What is the highest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + (sqrt(1584) - (2 + sqrt(1584) + 0)))*3 + -2)**2.\nAnswer: -576*sqrt(11) + 14320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 11:35 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -275 (b) -7 (c) -3 (d) 4 (e) 5 (f) 0.04 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47823 + -9.11616.\nAnswer: -47832.11616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13979 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(91\/(-56))*(-18)\/(-96)*10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = 7. Solve -d*x + x + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-550)\/(-5005)*65)\/((-6)\/7)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 1:35 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -742577 rounded to the nearest ten thousand?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0*f**2 - 10 + 41\/6*f**3 + 2*f + 50\/3*f**4. What is the second derivative of x(p) wrt p?\nAnswer: 400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j - 1. Let r be (4 + 0 + 0)\/j. Suppose 0 = -r*x + 5*v + 142, 0 = -5*x - 0*v - 2*v + 161. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 7:01 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, -9391\/5, -4.\nAnswer: -9391\/5, -4, -1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-35)*((24\/(-28))\/3)\/((-60)\/175)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + h + 657 - 648, 0 = 4*h - 20 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -49.4 * -3928\nAnswer: 194043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -372806885*a - 32671888?\nAnswer: -372806885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*f = -91*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - (7 - 4)) - -15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3393841.\nAnswer: -6787682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.2814472*-0.3\nAnswer: -1.28443416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022130 (base 4) in base 16?\nAnswer: 229c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/1 - -11) + -3. Suppose 5*u - 3*i = 22, -4*i - 12 = -5*u + 9. Is u greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 126656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let b(c) = -c + 3. Let h(k) = 6*k - 14. Suppose 0 = -5*d + 33 - 3. Let m(o) = d*h(o) + 28*b(o). Determine j(m(y)).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-6))\/((-2)\/180). Let u be 1\/((2\/s)\/(-1)). Suppose -33 = -3*o + 2*o - 2*b, -2*o + u = -3*b. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 8*n**2 + 48*n - 5. Calculate the least common multiple of m(7) and 1410.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -26, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6250823 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -40\/9*t**5 + 14\/9*t**2 + 0 + 4\/9*t - 74\/9*t**4 - 8\/3*t**3 = 0.\nAnswer: -1, -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeekboh. What is prob of sequence ko?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/7 - 37937*j\/7 + 37944 = 0. Calculate j.\nAnswer: -37944, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/22 and -79\/6270.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 28*y - 1. Let o(b) = 4629*b**2 + 112*b - 3943. Let m(a) = -4*k(a) + o(a). Find the first derivative of m(h) wrt h.\nAnswer: 9242*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.37 + 83. Let h = -29.37 - m. Let j = h - -31. Which is the smallest value? (a) j (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, n: 1, v: 1, t: 7, k: 4}. What is prob of picking 2 k and 1 t?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3 - 2133789*q**2 - 7*q + 6587847 wrt q.\nAnswer: 12*q - 4267578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f - 2. Let c(o) = 6*o - 5. Let u be (-2)\/((-4)\/(-2))*5. Let q(b) = u*r(b) + 2*c(b). Let d(s) = -229000 + 229000 + s. Calculate q(d(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 3*b + 6. Calculate j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 3509 = -397. Are 435 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) + 7\/((-343)\/161). Let d be 17\/14*-2 - o. Suppose 0 = 3*r - 4*r. Which is greater: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 9. Let s = -117 + 1289\/11. Let k = 19\/24 + -5\/12. What is the second smallest value in p, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*s - 5. What is the second derivative of 4*j + 6*j**3 + s*j**2 - 33*j**2 + 6*j wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + -5 + -1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 24624018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - a + 4 = -6*a, -i - 2*a = 2. Let m be 1 + -2*i\/4. Solve -5*o = -m*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, n: 7}. What is prob of picking 2 l and 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 13*y - 24. Solve 5*o - y*o - 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -6, -4, -499, -1 in descending order.\nAnswer: 1, -1, -4, -5, -6, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/12238 and -101\/16.\nAnswer: 97904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/3, 4, -0.3, 1256.585, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/910*((-32)\/8)\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192992207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 42*k - 64. What is the remainder when 124 is divided by g(16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f + 14 - 2*f**2 + 1\/120*f**6 - 11\/60*f**5 - 4*f**3 + 13\/24*f**4. List the prime factors of h(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(3\/5)*(l\/l**(-11))\/((l**(-1\/8)\/l)\/l) assuming l is positive.\nAnswer: l**(589\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 - -0.3. Let w = v - 9. What is the second biggest value in 0, 2\/7, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66072283*d**4 - 42405613.\nAnswer: 264289132*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/17)\/(-4)*2. Let l = -2 - -2. Put w, l, -0.5 in decreasing order.\nAnswer: w, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 26*r + 7. Let y be a(-5). What is the common denominator of -83\/22 and y\/(-48) - -1*1?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 67. Suppose 0 = v + 7 - r. What is the remainder when 80 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -33.06. Let t = 9 + -40. Let k = -26 - t. Which is the nearest to 0.2? (a) k (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 1, o: 1, j: 2, b: 1, w: 1}. Give prob of picking 1 j, 1 c, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 2 = -3 - 26. Sort -3, 1, -4, p, -48.\nAnswer: -48, -4, -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-95) - (-40672)\/(-1558). Let t = 50 - 25. Let f = -50 + t. Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7645 in -1, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 1225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -507543794*k**3*x**2 + 231*k**3 - 85504 with respect to x.\nAnswer: -1015087588*k**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -4*c + 489. Calculate the greatest common divisor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -69, -2, 2 in increasing order.\nAnswer: -69, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (989\/(-5934))\/(2\/(-744)*1). Solve -7*m = 13 - j for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9297.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1386 = 4*m + f, -m = 2*m + 5*f + 1048. Let a = m - -366. Suppose -5 = s, -2*g + s + 291 = -2*s. What is the lowest common multiple of a and g?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 6:37 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1.73\nAnswer: 0.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) 0.06 (c) -1.6 (d) 0.4 (e) -6\/881 (f) 3 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*m**3 - 66*f**2 - 2*f*m**2 + 220*f*m + m**3 wrt f?\nAnswer: -4*m**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -3*i - 9, 12*i - 13 = -3*f + 8*i + 8*i - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + 5 + sqrt(3) + (sqrt(75) - (0 + sqrt(75))) + sqrt(6)\/(2*sqrt(18)) + -2 + (-1 + sqrt(147))**2.\nAnswer: -77*sqrt(3)\/6 + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/6 less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144682 is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*l + 80. Suppose 0 = b - l*c - 7, 3*b = 4*c + 17 - 1. Factor -8\/5*r + 2\/5*r**b + 8\/5*r**3 - 8\/5 + 6\/5*r**2.\nAnswer: 2*(r - 1)*(r + 1)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 50.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12447, -50804, -114719, -204192, -319223?\n\"Answer: -12779*v**2 - 20*v + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -74071292, -148142581, -222213868, -296285153?\n\"Answer: y**2 - 74071292*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 f, and 1 u when three letters picked without replacement from guffgzffafaffg?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j. Suppose 2*t + 3*t + 10 = j, -4*i - 12 = 4*t. Let r(n) = 6*n**2 + 47*n - 53. Let g be r(1). Which is the closest to i? (a) g (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 64 + 197 + 3*p**2 - 65.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 103. Let g = -46 - -80. Let j = v + g. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 2.56?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -1.5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2. Let o = 58 + -56. Let z(q) = 1 - 32*q**o - 1 + 37*q**2. Determine f(z(t)).\nAnswer: 150*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46688443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -181? (a) 1\/5 (b) -1\/11 (c) 1\/2 (d) 0.1 (e) -56\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 5346.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 276.2995 microseconds?\nAnswer: 276299.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = -11*f + 4*p - 4, -5*p = 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 3*k**6\/10 - 4*k**4\/3 + 16*k. What is the third derivative of o(i) wrt i?\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34241529 plus -296?\nAnswer: -295.65758471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**3 - 1750288*b**2 - 3500564*b - 1750280 = 0.\nAnswer: -437570, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 19*h + 31*h - 2566445. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/20 + y**4\/3 + y**3\/3 + y**2 - 2*y. Suppose -4*k - 6 - 10 = 0. Determine l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = 2*r - 8, -r + y - 1 = 0. Which is greater: r or 5\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*o = -477 + 686 + 691 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7508 + 436 = -4*d. Let q = d - -158883\/80. Is 1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0122 + 1.2878. Let d = -3 + 2.8. What is the second smallest value in d, j, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191323 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + w = -33, 2*w - 11 - 13 = 5*l. Let f(q) = -4 - 2 + 0*q + 0 + 5*q - 4*q. Let k be f(3). Which is the second smallest value? (a) l (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1250, -5665, -13026, -23333?\nAnswer: -36586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 f when three letters picked without replacement from {f: 7, h: 6}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**8\/336 + 919*i**5\/60 + 415*i**4\/3 + i**3\/3 + 3724*i**2. Find the second derivative of t(s) wrt s.\nAnswer: -20*s**3 + 1838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 236 + 12?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*4\/(-56))\/((-6)\/(-21))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5956925 smaller than 5956922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*(-14)\/10)\/((-29)\/(-145)). Let b(k) = -15 - 8*k + 2*k - k. What is the units digit of b(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 95. What is the smallest common multiple of j(15) and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 18. Let n(z) = -25*z - 11. Let k be n(i). Suppose -3*y = -k + 88. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7511\/1116 - 63\/124. Calculate the common denominator of -27\/5 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -13) + 35 + -2 + -25.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21912 + 25597 + 32027 = 576*o for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Suppose -b*a + 4*y = -0*a - 16, -20 = -4*a - 4*y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 4, -0.3, 3 in decreasing order.\nAnswer: 4, 3, 1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 - 2*d. Let j be z(-3). Let l be j\/9 + 2\/6. Solve -l*i + 2*i - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16570 >= 297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**3 - 175608*m**2 - 1947421824*m - 438666024320 = 0.\nAnswer: -21836, -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*a**3 - 282*a**3 - 136*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11808892 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 5*m + 13 + 5*m - 10*m**2 - 8 + 2. Let w be b(-11). Solve w = -3*h + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = l - 2*w + 6, 2*l + 7 = w. Let y(n) = -6*n**2 - 5*n - 13. Let r be y(4). Let b be 6\/(-27) + l + r\/27. Put -3\/2, b, 1, 3 in descending order.\nAnswer: 3, 1, -3\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450*g**2 + 139*g + 85*g - 617*g**2 wrt g?\nAnswer: -334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((286\/(-1794))\/(-11))\/(1\/6).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -492+-46723906778\nAnswer: -46723907270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-3990)*84)\/(11\/5)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 121*y**2 + 11. Let t(z) = -24*z**2 - 2. What is 2*f(u) + 11*t(u)?\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 11*p**2 - p + 14. Let s be j(11). Factor 16*k**s + 3*k**5 + 12*k**4 + k**3 - 2*k + k**3 + 12*k**2 + 5*k.\nAnswer: 3*k*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2 + 2 + 2.\nAnswer: -2*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-975 - -949) + (1 - -13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by 472937?\nAnswer: 228\/472937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 - -0.06. Let l = 9.2961 + 0.7039. What is the second smallest value in l, h, -0.05?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-95))\/(-24 + (-756)\/(-40)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = 4*x - 5365*m + 5383*m, -2*x - 34 = -4*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3038 is divided by 1517?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/804)\/(7245\/34776)?\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 51, 67, 83, 99?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(99))\/(-2*sqrt(81)\/sqrt(9)).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40487, -40497, -40495, -40475, -40431, -40357?\n\"Answer: r**3 - 17*r - 40471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -250, -249, -248?\n\"Answer: i - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 37*u**2 + u + 1. Let o(j) = -j - 1. Let c = 4 + -4. Let a be o(c). Is w(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) -1\/2 (b) -3 (c) -1\/9 (d) 111.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 3072?\nAnswer: 46080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6629 + 0?\nAnswer: 6629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 20223 + 207163 = -213260. What are the prime factors of v?\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 14*t + 2*c = 6, 4*c = 2*t - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/3 + 207548*o**3\/3 - 10768835525*o**2\/3 - 21538501250*o\/3 = 0.\nAnswer: -2, 0, 103775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 3, -21007, -5, -4.\nAnswer: -21007, -44, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19927\/6 or 3322?\nAnswer: 3322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 22*t - 54. Let m be r(14). List the prime factors of m\/(-9)*(-1749)\/22.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25857950 + -1?\nAnswer: -25857951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -11*i - 6. Let p be o(5). Let h = p + 88. List the prime factors of 1*(-7)\/((-21)\/h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 346436 and 7.\nAnswer: 2425052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/1)\/(-36))\/(1\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86384 is divided by 1080?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 5*j**2 + 26*j - 87. Let s be c(7). What is the nearest to s in -8, -1\/2, 4, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, m: 3, t: 2}. What is prob of picking 1 u and 1 m?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 r when three letters picked without replacement from {l: 6, x: 1, r: 1, s: 7}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 2*n + 1. Let g be x(2). Suppose k - 2 = 4*c + 4, -g*c = 0. What are the prime factors of 4\/k + (-112)\/(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169638 by 84819.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5011081 is divided by 3519.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73677*z - 19 - 292*z**3 - 73677*z - 80 with respect to z.\nAnswer: -876*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 17*n + 21. Let j be p(-18). Suppose -j*t + 140 = t. Let y = t - 19. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 7*l + 5. Let u be y(-5). Let p = -94 - -96. Let v(m) = -5 + 3 + 4 - p*m. Give v(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 = -4*j + x, -2*x + 197 = -4*j + 653. Solve j*u = 111*u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 8 + 8 - 2 - 5*b to the form k*b + x and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 449055601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 235, 471, 717, 979, 1263, 1575, 1921, 2307?\n\"Answer: k**3 - k**2 + 232*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n = -7. What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9979 at most 7953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 + 85. Let b = q + 84. Put 0.4, 2\/7, b in decreasing order.\nAnswer: b, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrjlljlrrl. Give prob of picking 1 l, 1 j, and 1 r.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*q**3*y + 2*n*q**2*y + 2*n*q*y - n*q - 2*n*y - 16*n - 2200*q**3*y - 7*q*y wrt q?\nAnswer: 12*n*q*y + 4*n*y - 13200*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11364827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 divided by 6399?\nAnswer: 512\/6399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**4\/4 + 5*c**3\/3 + 3*c**2 + 3*c - 1. Let i be 63\/14*4\/3. Does 3 divide o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 63 in decreasing order.\nAnswer: 63, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1300 or 1306?\nAnswer: 1300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -n - 24, -19 = -4*n + 2*u + u. Let z be (3\/63)\/(12\/108). Put z, 0, n, -1\/9 in increasing order.\nAnswer: -1\/9, 0, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336085.\nAnswer: 5, 67217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 2*j + 3. Let a be n(-2). Suppose -4*h = a*h - 644. Suppose 2*m - h = 80. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*q - 3*q + 3, -5*q - t = -21. Let z be ((150\/8)\/5)\/(6\/32). Solve q*k + k = -z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -2*-1*sqrt(114) - (sqrt(114) - (sqrt(114) + sqrt(114)*-3)*-5))\/(-4*(sqrt(96) - 5*-2*sqrt(96))).\nAnswer: -3*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -42 - 3*y + 20*y + 22*y - 2297*y**2 + 2288*y**2 = 0?\nAnswer: 2, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -519, -1, -33 in increasing order.\nAnswer: -519, -33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 48 = 3*m. Let r = 25 - m. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0*m + m + 6 - 1. Let s be t(-5). Let c = -5.6 + 0.6. Sort s, c, 0.4.\nAnswer: c, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32715 and 250?\nAnswer: 1635750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42751512 - 1?\nAnswer: -42751513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2888 and 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-368)\/(-46) - (-2 - (6 + -18)). Let q = -3 + 2. Which is the closest to q? (a) 2 (b) t (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2322202011210 - 3?\nAnswer: 2322202011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -90*z**3 - 4*z**2 - 450*z - 448. What is c(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131 and -0.5.\nAnswer: 65.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 + 0.42. Let c = n - 1.1. What is the second smallest value in c, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -2449?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 27102430*-2\nAnswer: -54204860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -117 - b661aa?\nAnswer: -b662c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*m + 7. Let p = 5.85 + 0.15. Is p bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 5\/6, -350?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5190?\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1761 - 20790 = 345*r - 1506 for r.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 46. Let x = -242.2 - -242. Which is the smallest value? (a) h (b) x (c) -3 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and -861.\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 8. Suppose 23 = -k*v + 4*v - 5*o, -5*v - 3*o - 5 = 0. Calculate the lowest common multiple of 1*8 + (5 - 7) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - 7*n - 7. Let s(y) = -y**3 + 2*y + 2. Suppose 3*c + 110 = f, f = 2*f - 5. Let u = c - -21. What is u*s(o) - 4*t(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -58, 1.4, -53, 2\/5?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9477376 is divided by 199.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 - 8*w + 5. Let p be r(6). Suppose 4*a = 3*j - p - 127, -5*a - 209 = -4*j. What is the remainder when 45 is divided by 8\/10 + j\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 18615?\nAnswer: -18613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12831340?\nAnswer: 2, 5, 29, 22123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovbooivivl. What is prob of sequence vvi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**5 - 90 - z**2 + 45 + 43 + 6*z**3 wrt z?\nAnswer: 180*z**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - 22\/(286\/(-55575)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbhiog. What is prob of sequence og?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:13 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12\/30)\/((-1)\/10)*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 207029 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1732 and 36765164.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -20. Let x = k + 27. Differentiate 3*g**2 - 10*g**2 - 1 - 10 - x*g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -921, -2\/3, 5?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((0 - 2) + -3) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 6*r**2 + 2*r - 23. Let z be t(0). Let l(n) = n**3 + 23*n**2 - 6*n + 47. Is l(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 19098 = -0*d - 5*l, 3*l - 9538 = -2*d. Let j be (-112)\/(-32)*d\/1. Suppose 4*g = 3*q - j, 6*g - 3*g = 2*q - 11134. Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 28*u - 33*u + 26, -5*q + 24 - 134 = -21*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 55*p**3 + 2*p + 1. Let q be m(-1). Let v be 0 - (q + (-2)\/2). Let x(n) = 2*n**2 + 1. Let i be x(3). Calculate the highest common divisor of i and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69263 is divided by 624.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f + 7 - 25. Let n(d) = -9*d - 18*d**3 + 4 - d + 33*d**3 - 14*d**3 - 7*d**f. Determine n(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-5 + sqrt(133)\/(sqrt(14)\/sqrt(2)).\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 a when four letters picked without replacement from aawaatwwwdw.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1180 - -1169. Let v(c) = 4*c**3 - 4*c**2 - 3*c + 2. Let b(l) = -12*l**3 + 11*l**2 + 8*l - 6. Give p*v(q) - 4*b(q).\nAnswer: 4*q**3 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/((-432)\/(-18420)) + 3\/12. What is the highest common factor of z and 864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464552 - -11?\nAnswer: -464541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -81*v**3 - 8*v**2 - 8*v - 6. Let w(u) = 82*u**3 + 7*u**2 + 7*u + 5. Let r(c) = 5*d(c) + 6*w(c). What is the third derivative of r(j) wrt j?\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)\/(i*i**4))\/((i\/i**0)\/(((i\/i**(11\/5))\/i)\/i*i)) assuming i is positive.\nAnswer: i**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 148\/42)*-510. Let p = -2824 + m. What is the common denominator of -13\/10 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -9163*h**2 + 15*h - 13. Let t(u) = -18326*u**2 + 33*u - 29. Give 11*a(g) - 5*t(g).\nAnswer: -9163*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545346411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20708688 divided by -78\nAnswer: -265496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 507354 by -1.\nAnswer: -507354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39*(-1)\/(-6)*2. Suppose s*r = 2*r. Let z(g) = -2*g + 20. What is the tens digit of z(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 194*o**2 + 11833*o + 244. What is d(-61)?\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 - 5 - 1 + 5 + 14 + 15*y**2 - y**2.\nAnswer: 3*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**(-1\/4)*d)\/d*d)\/d)\/d)\/d)**(4\/11) assuming d is positive.\nAnswer: d**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56947555 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 54*o + 5. Let g(h) = 269*h + 27. Calculate 11*a(b) - 2*g(b).\nAnswer: 56*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*u = -81, -3*j - 4*u - 119 = -9*u. Let k be j\/(-7) + -1 - (-508)\/889. Solve -2*c - t = -k*c + 17, -t = c - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 2*z - 3. Let f = -26 - -31. Suppose -2*m = 2*m - 5*a + 13, -5*m + f = -2*a. List the prime factors of y(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1945*s - 19461. Calculate a(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3863 + 1264. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2193.4 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-29 - (3 + (27 - 30)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3212146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -11*l - 113. Is l less than -33\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -8701, 5 in decreasing order.\nAnswer: 16, 5, -8701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55099*d**3 - 3*d - 4255.\nAnswer: -330594*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 - -a?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-2 - (-37)\/1)*16080\/280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -38, -45, -52, -59?\n\"Answer: -7*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2119, -2884, -2593, -1240, 1181, 4676?\n\"Answer: x**3 + 522*x**2 - 2338*x - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*y + 660 = -39*y. Solve y = 4*i + 2*f, -4*f + 28 = 3*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.5280173 * -3\nAnswer: 37.5840519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -9 - 4 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*11580.04.\nAnswer: -579.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from rrjjrrjrgrjrj.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14556.\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/216)\/((-1)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 1, p: 7, h: 1, e: 2, c: 4}. Give prob of sequence ph.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -665120 (base 7) to base 14\nAnswer: -30910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -3750?\nAnswer: -48750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/7? (a) -937 (b) -1\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.4138 centuries to months.\nAnswer: 685696.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 487*o**3 + o**4 - 169*o**3 - 166*o**3 + o**4 - 164*o**3 + 20*o + 6*o**2 = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 + 2543. List the prime factors of k.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d7 (base 16) in base 5?\nAnswer: -10402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + (1*(sqrt(228) + -1*sqrt(228)*1))\/(2*sqrt(1728) + sqrt(12) - ((sqrt(192)*2 - sqrt(192)) + sqrt(12))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6 + 72. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -87, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 14 = 3*f, -2*h - f + 1315 = 0. List the prime factors of h.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 14 = 7*y. Let z be y*3\/(-9)*16*-3. Solve -39*w = -43*w + z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 193*s**2 - 8894*s - 38728.\nAnswer: -(s - 103)*(s - 94)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*a + 7*a = 8*a + 28, 5*a = -52*d - 1020 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4901*g**3 - 22*g**2 - 5795. Let k(l) = 1225*l**3 + 6*l**2 + 1449. Let x(s) = 22*k(s) + 6*o(s). What is the first derivative of x(h) wrt h?\nAnswer: -7368*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**8\/13440 - y**7\/840 - y**6\/480 + y**5\/24 + 9*y**4\/2 - 28*y. Let i(w) be the third derivative of l(w). Factor i(u).\nAnswer: -(u - 1)*(u + 2)*(u + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(j - 9 + 9)*(2*j - 1 + 1).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 + 86. Let a(o) = 11*o**3 + 57*o**2 - 65*o + 6. Let z(x) = -7*x**3 - 38*x**2 + 43*x - 4. Let q(j) = 5*a(j) + 8*z(j). List the prime factors of q(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i + 270. Is 19 a factor of -1 + (-14)\/(-18) + (-8220)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*315*3\/6. What is the highest common factor of t and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - (6 + -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.250987 rounded to zero dps?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 8*z**2 + 56*z**2)*((3*z - 34 + 34)*(-4*z + 2*z - 2*z) + (-3*z**2 + 3*z**2 + 2*z**2)*(3 - 3 + 1)).\nAnswer: -520*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 2*l - 5*l)*(-911*l**4 + 38*l + 5*l - 44*l).\nAnswer: 1822*l**5 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**5 - t**4 + t**3 - t**2 - t. Let p(w) = -4*w**4 - 3*w**3 + 11*w**2 - w. Let u(a) = -3*j(a) + 3*p(a). Factor u(r).\nAnswer: 3*r**2*(r - 3)*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 2*o**2 + 2*o + 4. Let b be f(5). Suppose 0 = 4*d + 37 - b. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*t - 5*t. Let z = -12 + t. Does 17 divide (17*(z - 3))\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 537 - 325 = -5*h, -5*h - 4*d + 886 = 0. Which is smaller: h or 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 19*h. Let r(o) = 26*o - 10*o - 6*o - 7*o. Let c(s) = 6*p(s) - 39*r(s). Let u(d) = 15*d. What is u(c(m))?\nAnswer: -45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2762 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 280?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -72, 20, 13 in descending order.\nAnswer: 20, 13, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 60, 153, 296, 495, 756?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -1.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r - 3*r)*(6*r - 7*r**2 - 6*r) - 39*r**2 + r**3 + 177*r**2 + 85*r**2.\nAnswer: -6*r**3 + 223*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -13 + 8 - -6 - 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2619224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(3 - 1 - 3) + 4 - 2 + 1 + 0 - 1 + 0 + (0 + 0 - 1)*(1 + 0 + 2) - 4 - 3 + 3)*(-2 + 2 + 2*m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.48112 rounded to two decimal places?\nAnswer: 10.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199 - -202.5. Let u = r + -6.5. Let p = -0.21 - 7.79. Which is the smallest value? (a) u (b) 2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 8. Let c(a) = 7*a. Determine c(z(d)).\nAnswer: 14*d**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 1, a: 1, p: 2, z: 2, r: 4}. What is prob of picking 1 a and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294 - 3236\/11. What is the second biggest value in 3\/4, u, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199858247?\nAnswer: 23, 8689489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**7\/2520 - b**4\/6 - 4*b**2. Let i(m) be the second derivative of r(m). Let d(f) = -4*f + 6*f - 4*f. What is d(i(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42652 + 42666. Let p(h) = -h**3 - 6*h**2 + 8. Calculate the least common multiple of p(-6) and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 53*v + 89. Let y be p(-26). Suppose y = 45*n - 20. Solve -4*c = -n*s + 5, 0*c + 2*s = -c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*l = -393*l - 72. Solve -5*c - 4*w - 3 = 0, 0*c + l*w = 3*c + 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348952971*v**3 + 3*v**2 - 1388690 wrt v.\nAnswer: 2093717826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2790 and 84010?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 80728*s + 242191. Determine x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 423 or 425?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45085145 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3*h**(-1\/2)*(h*(h**(-1)\/h)\/h)**(-5\/8) assuming h is positive.\nAnswer: h**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 12378586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 14*d**2 + 1. Let o be b(14). Suppose -2*v - 2*c - 8 = 0, -4*v - 5*c - 21 + o = 0. Solve 3*n + 12 + 0 = v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -20*r**3 - 11*r**2 + 5*r - 4. Calculate p(4).\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 721.2 - 720. What is the nearest to 0.1 in 0.1, -3, b, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23246\/2946153 + -16\/1761. Let w(a) = a + 11. Let h be w(-11). Which is greater: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 4*a - 8. Let t be o(3). Suppose -t*f + 414 = -4*f. Suppose f = j - 21. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 6. Let v be u(-4). Let f(n) be the first derivative of -n**3\/3 - 9*n**2\/2 - 8*n + 2. Let m be f(-8). Solve m = -v*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2936 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**9)\/(t*t**(-18)))**(1\/64))**44 assuming t is positive.\nAnswer: t**(99\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 401 - 388 - (0 + 28)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -6\/849817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/86002 and -54\/11.\nAnswer: 946022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5743.2921 + 5743. What is t rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(352) - sqrt(352))\/sqrt(11) - (sqrt(800) + sqrt(50) + 2))**2.\nAnswer: 296*sqrt(2) + 5484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 256209.214+0.4\nAnswer: 256209.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/2 (b) 514 (c) 0.2 (d) 6 (e) 15\/52 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -31.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 19*u - 4*u**3 + 16*u**3 - 5*u - 14*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:09 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9999 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34972345.\nAnswer: 5, 6994469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 7 - 5 = 0. Let d(c) = -c**3 + c**2 - 1. Let q be d(v). Calculate the greatest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*g - 180 = 224*g. Let j(f) be the first derivative of -g + 2*f**2 - f**3 - 4*f + 1\/4*f**4. What is j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*c - 10 + 1 + 9 + 292*c to a + f*c and give f.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1008\/108 + -6)*(-66)\/(-4). Calculate the highest common factor of 143 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(2*d - 3*d + 0*d) - d + 0*d + 0*d + (4*d - 2*d + 0*d)*(0 + 3 - 5).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 99?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 + 4*m + 3. Let s = -19 + 12. Let n be c(s). Let j(r) = 8*r**2 + 3*r - 2. Let w be j(2). What is the greatest common divisor of w and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 11*t + 6 = -12*t, -t = -5*b + 18. Sort b, -5, -1, 2 in decreasing order.\nAnswer: b, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140 + -152 + 191\/16.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolzcaw. Give prob of sequence oa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2642 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*u**3 + 21*a**3 - 78*a**2*u**2 + 922*a*u**3 - 65*u**3 + 2*u + 12 wrt u.\nAnswer: 12*a**3 + 5532*a - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-3)\/(-3)) + -1. Put 2, w, 6 in decreasing order.\nAnswer: 6, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*g = -18, -3*k + 3*g - 73 = -g. Let a = 1 - k. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - n + 2. Let p be j(-2). Suppose 0 = -p*y + 3*y + 10. Suppose -11 = -y*a - 1. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -8*q**3 - 1\/10*q**5 - 22 + 0*q - 16*q**2 - 3\/2*q**4. Let v(c) = 0. What is c?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(192) - (((-1*sqrt(192) - sqrt(192))**2 - sqrt(192)) + 2)) + (sqrt(192) + 1)*-1 + (-2 + (sqrt(192) - (sqrt(192) - (0 + sqrt(192))))**2)*2) + 2.\nAnswer: -780 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9319?\nAnswer: 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 42*q - 35. What is the smallest common multiple of 294 and l(9)?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 3*l**5\/5 + 5*l**4\/8 - 5*l**3\/2 - 15*l**2. Let z(u) = 5*u**2 + 2*u - 2. Give 2*c(o) - 15*z(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 5*i**2 - 2*i - 5. Suppose 4*x + 4*c = 5*x - 1, -3*x + 16 = c. Calculate y(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174480 divided by 1476.\nAnswer: -14540\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1560\/(-360)*(-1296)\/117?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17787, 17790, 17793, 17796, 17799?\n\"Answer: 3*s + 17784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 144874367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6)\/u)\/(u*u**(-8)*u))\/((u**(-6)*u*u*u)\/u*u*u**(5\/2)) assuming u is positive.\nAnswer: 1\/sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 r when four letters picked without replacement from {h: 3, m: 1, v: 2, r: 7, d: 4}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/13 - 483066*c\/13 = 0.\nAnswer: 0, 241533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - 0.06. Suppose -21*y = -19*y - 56. Let n be (-4)\/(y\/(-11)) - 1. Which is the second biggest value? (a) 2 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164842.75 - 17399895\nAnswer: -17235052.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 13*t - 128 = 0. What is the smallest common multiple of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*n + 54 = 0, 155*t - 160*t = -5*n - 90. Calculate the least common multiple of 2\/4 + (-17)\/(-2) and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 6 + 27 + (-17 - -26)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 5, 1, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -u - 8 - 0, m + 35 = -4*u. What is the remainder when 44 is divided by (-4*u\/6)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*h = -111360, h = -3*c + 6042 + 77466. List the prime factors of c.\nAnswer: 2, 3, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = -4, -37 = -5*h - o. Suppose -h - 3 = -2*q. Solve 5*g + b + 4*b = -20, q*g + 4*b = -17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(13) + sqrt(13) + (sqrt(130)*2)\/sqrt(10) - (sqrt(13) - (-3 + sqrt(13)*-2)))*-6)**2.\nAnswer: -17496*sqrt(13) + 64152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - (34 - -6 - 12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**2 + 21*l**3 - 17*l**3 - 21*l**2.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(528) - sqrt(33) - sqrt(33))*-1)\/(sqrt(24)\/(sqrt(8) - sqrt(72)) + sqrt(3)) + -3)**2.\nAnswer: 24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -255*d - 3\/2*d**2 - 504.\nAnswer: -3*(d + 2)*(d + 168)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 1. Let a(f) = -8*f**2 - 9*f + 2. Let g(v) = a(v) - 2*x(v). What is the second derivative of g(l) wrt l?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 559.3 + -551. Which is bigger: 1\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -29*l**5\/10 - l**2 - l + 4. What is the first derivative of a(h) wrt h?\nAnswer: -174*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccnsctnssccqcsn. What is prob of picking 1 t and 1 c?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43633 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 + 275. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/22 - -71\/198. Let x = -4.4 + 0. Let f = 0.6 - x. What is the closest to -0.1 in s, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -21?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77649*k + 6*k**3 + 77649*k.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 9. Let t(s) = -s - 1. What is t(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 39860180.\nAnswer: 39860180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 23789646?\nAnswer: 166527522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 322632\/2078845 - 98\/629. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 - 5*b**3 - 3*b**3)*(2490 + 5151 - 5553 + 6018 + 10786).\nAnswer: -37784*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78, -37, -164, -309, -478?\n\"Answer: -s**3 - 108*s + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 65 - 5 = 0. Solve 5*q + j = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/4 - 45*w**3\/4 - 125*w**2\/2 = 0.\nAnswer: -5, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-22))**(-29)*(d*d**(1\/5)\/d*d)**8 assuming d is positive.\nAnswer: d**(3093\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*g**4 + 3697*g**3*w - 117*g**3 - 16371*g**2 + 1543*g*w wrt g?\nAnswer: 912*g + 22182*w - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 2)*(-3 + 1). Suppose -9*n**l - 5\/2*n**5 + 1 - 11*n**3 - 4*n**2 + 3\/2*n = 0. Calculate n.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/1*(-2)\/4. Suppose 2*q - 2*g = b, 5*g = -4*q + 3*g + 42. Let c(s) = s**3 - 9*s**2 - 9*s - 6. What is the smallest common multiple of 9 and c(q)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88\/10 - (-1)\/5. Let g(m) = 3*m - 12. What is the units digit of g(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 1406*o - 10*o**3 - 1406*o + 5*o**2 - 5*o**2 + o**4 + (o**3 + o**3 - o**3)*(0*o + 2*o + 0*o) + 2*o**4 + 4 - 4.\nAnswer: 6*o**4 - 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 4*v**2 - 6. Let n be j(3). Suppose -7*i - 4*s - 485 = -4*i, -4*i = n*s + 656. Let g = -113 - i. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 35*r**3 - 12*r**2 + 60*r - 12. Let p(s) = 35*s**3 - 9*s**2 + 63*s - 9. Give -4*p(m) + 3*q(m).\nAnswer: -35*m**3 - 72*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391 divided by -84?\nAnswer: -797\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28209894*i**2 + 41*i - 22*i**3 - 28209894*i**2 to q*i + b + h*i**2 + s*i**3 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -1, -5, -3 in decreasing order.\nAnswer: 4, -1, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(567) + (sqrt(567) - 1*sqrt(567)))**2.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 12. Suppose -2*r + 29 = -3*m + 8*m, -2*m + d*r + 4 = 0. Suppose -a + 4*a + 5*k = -14, 4*a + m*k + 12 = 0. Solve a*n = 4*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u\/u**(3\/5))\/(u**(1\/3)*u)**(-1\/5) assuming u is positive.\nAnswer: u**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -473637015*s**3 - 1649326*s**2 - 21 wrt s?\nAnswer: -2841822090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2744, 2487, 2230, 1973, 1716, 1459?\nAnswer: 1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 301888*u**3*z**2 - 111*u**2*z**2 - 574766733*z**2 with respect to u.\nAnswer: 905664*u**2*z**2 - 222*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14652156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 7. What is n(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 48 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1012*j - 390*j + 2576*j to the form d*j + t and give d.\nAnswer: 3198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (949\/(-8541))\/(3\/2*(-1)\/(-3)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 59.4. Which is the closest to 0? (a) 5 (b) r (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445972 is divided by 19380.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z + 10. Let c be (z - -2)\/(-3 - -1). Suppose c*a + 15 = 3*a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 6*m + 15. Suppose 0 = 5*k - 20, -186 = 2*v + 4*k - 212. Determine b(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - -117 - (2 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 127, 194?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdpz when four letters picked without replacement from {p: 4, h: 1, z: 7, e: 3, d: 1}.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.95094 rounded to 0 dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*n + 6*p + 12, -4*n - p = 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 8181302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 392*i = -393*i, -3*o - 9*i - 402 + 450 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810\/(-432)*(-25)\/(2500\/(-1040)).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -841*t**3*w**3 - t**3 - 73*t*w**3 + 63*t*w - 4*w**2 + 4*w wrt w.\nAnswer: -5046*t**3 - 438*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141.8 + 150.8. Let p = 22.9 + -25. Let s = p - -2. Which is the second smallest value? (a) s (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 - x + 10*x + 0*x. Let k(b) = 8*b**2 - 26*b. Let j(y) = 11*c(y) + 4*k(y). Let q = -96 + 92. Give j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {k: 1, f: 3, s: 4, n: 5}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (9 + 0 - (48 + (-28 - -14) + -7))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 4, -0.04, 0.02, 1, -64?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*r + 37, -16 + 60 = 2*w + 4*r. Sort w, -3\/4, -2\/7 in descending order.\nAnswer: w, -2\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6833 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -1. Let g = -4 - r. Factor -5*h**3 - h**4 - g*h**4 + h - h**2 + 4*h**2 + 4*h**5.\nAnswer: h*(h - 1)**2*(h + 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7470 is divided by 999.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let h = 10567.943 - 10578. Let r = h + 0.057. Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 18 = -4*n. Let k be ((-540)\/42)\/(n\/(-56)). Suppose -20 = -k*f + 116*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -25 in decreasing order.\nAnswer: 0, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201644, -403260, -604906, -806576, -1008264, -1209964?\nAnswer: -1411670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 8*k**2 - 10*k - 12. Let p be (-24)\/10*(-110)\/(-33). Is g(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/4*12\/4*-2. Solve -10 + j = -35*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3842*d - 4095*d + 2024 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/7 + 22*g**2 - 457*g - 3354\/7.\nAnswer: -(g - 129)*(g - 26)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + -6 - -7 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2099.1 + -2099. Sort b, 9\/2, 6.\nAnswer: b, 9\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 504710.5 decades?\nAnswer: 5047105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 3:38 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23547 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 4, b: 2, s: 1}. Give prob of picking 1 v and 1 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(2)*-1 - sqrt(200)*-2) + 3)**2.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 23*p - 2. Let c be 3 - (1 - (-1 + 1)). Let s be g(c). Is 4 a factor of (s\/(-12))\/(1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.4871502 to three decimal places.\nAnswer: 14.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 + g - 6. Let n(l) = -3*l**3 + 10*l**2 - 4*l + 21. What is -4*d(a) - n(a)?\nAnswer: -a**3 - 14*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*v = 2*v + 16, -5*s - 1 = 2*v. Which is smaller: s or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 30 = 3*j. Suppose -56 = -j*z + 190. Suppose 6*w + 2*l - z = 3*w, 0 = 5*w - l - 77. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342596 <= 5342651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-14 + 22 + -47)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**3\/11 + 1341998*m**2\/11 + 8051952*m\/11 = 0?\nAnswer: -1341992, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111010101 (base 2) to base 8.\nAnswer: 6725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/sqrt(63)*-2*-1)**2 - ((sqrt(108) - -5*-1*sqrt(108))**2 - sqrt(108) - (1 + sqrt(108))*-6)) + 0.\nAnswer: -1722 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 2.2. Which is the third biggest value? (a) u (b) 0.5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 10*x**2 - 7*x. Calculate the lowest common multiple of 20 and t(9).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -95.9. Let n = o - 5. Let u = 4306.6 - 4307. Which is the fourth smallest value? (a) -0.2 (b) n (c) u (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13\/4 + -7\/4. Suppose -1 = 2*r - 7. Suppose -x + 0 - r = 0. Put b, x, 0.4 in ascending order.\nAnswer: x, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p - 3. Let q be g(-23). Let r = q - 248. Solve 5*n = -r*w + 13, 3*w - 5*w - 3*n + 7 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156\/40639 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 3*r**2 - 5*r - 2. Let x be g(-4). Suppose 2*k + 1 = 3*s, 2*k + x*s - 18 + 4 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98039 is divided by 344?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, h: 2, k: 12}. Give prob of sequence hh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -31. Suppose t*n - 53 = 212. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, 7 in decreasing order.\nAnswer: 7, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((-1*(-2 + sqrt(612) + sqrt(612)) - sqrt(612)) + 3)*3)*4 + 2)**2.\nAnswer: -28512*sqrt(17) + 797508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1076.5 + -2.\nAnswer: -1078.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-574 - 5957 - 5212 + 2161)*(2*x - 3*x**2 - 2*x + (x - 2*x + 3*x)*(4*x - 6*x + x)).\nAnswer: 47910*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = 0. Let b(q) = q + p - 4 - 1 - 2. Let v(w) = w**3 - 4*w**2 + 2*w - 3. Let r be v(4). Give b(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 615 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/127 (b) 14 (c) 1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/((-2 - -3)*-1). Let c be 1\/(3 - 88\/a). Let g = c - -9. Calculate the remainder when 7 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:41 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 498489051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4976*k + 4976*k - 2*k**3 + 5.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.1 (c) -1\/4 (d) 3 (e) -1 (f) 4\/3 (g) -0.368\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*u - 105. Let w(p) be the third derivative of p**4\/8 - p**3\/2 + 3*p**2. What is the remainder when u is divided by w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1938*-0.16.\nAnswer: 310.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 13024\nAnswer: -1\/13024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) 2\/9 (b) 1 (c) 0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -23*l**3 + 7*l**2 - 9*l + 6. Is g(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + s**3 - s**2 + 7*s**2)*(1 - 1 + s).\nAnswer: s**4 + 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 + 302347400?\nAnswer: 302347425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 4, u: 7, o: 3, z: 4}. Give prob of sequence ou.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 336347\/32 + -10509. Calculate the common denominator of 125\/12 and v.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/4781088 and -47\/2.\nAnswer: 4781088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -16. Let r be (6\/(-4))\/((-9)\/6). What is the nearest to r in -0.5, m, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1574, 2936, 5206, 8384, 12470, 17464, 23366?\nAnswer: 30176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -14193?\nAnswer: -14189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 2*j - 10. Suppose -5*q = j*t - 36, -t - 4 = t. Solve 7*f = 3*f + q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35067356.\nAnswer: 2, 211, 41549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/2))**(-1\/41)\/(p\/((p**1*p)\/p))**45)**(29\/4) assuming p is positive.\nAnswer: p**(-87\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - -477502040698?\nAnswer: 477502040697.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.45 + 0.438. Round p to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 35 = g. Suppose -17 = 2*j + g. Let f = 27 + j. Calculate the remainder when 28 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - 29*u + 9. Let n be o(10). What is the highest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147 * 34.\nAnswer: -4998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(-2))\/((-5)\/(-140)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 - 374*o**3 + 364*o**2 + 1496*o - 1488 = 0 for o.\nAnswer: -2, 1, 2, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -13*j - 3. Suppose s = -1, -j*s = 5*r - 2*s - 19. Let k = 1 - -3. Solve -m - r*m + 5*t = 25, k*m = 3*t - 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3648460016 divided by -6.\nAnswer: -1824230008\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*c - 11 = -7*c, 3*d = -5*c + 9. Let o = d - -7. Suppose -5*t - 9*g + 12 = -13*g, 3*t + 3*g = -9. Sort o, t, 11 in descending order.\nAnswer: 11, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846 < 259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5705 is divided by 2841?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -18, -2, 3 in increasing order.\nAnswer: -18, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {g: 13, a: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*m + 5*m - 9*m)*((-3*m**2 + 4*m**2 + m**2)*(0 - 1 + 2) + (-5 + 3 + 3)*(0*m + 0*m + m)*(-32 + 10 - 17 - m)) to r*m**3 + y*m + x + b*m**2 and give b.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d8 + 778?\nAnswer: a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -736484 divided by 2\nAnswer: -368242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.233\nAnswer: -0.233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 66\/25, 0.0455, -4, -2, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/3, 2\/13, -530, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 284 + -265. Calculate the remainder when 278 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525438511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 18*m**2 + 2*m + 35. Give i(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 0) + (16 + 4 - 1) + (-18 - -3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = 17*m - 186 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 596 + 581, b + 2*m = 2*b - 14 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 24*y**2 + 8*y. Let m(b) = b**2 + b. Determine j(n) - 8*m(n).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4684 greater than or equal to 10142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3883253 (base 9) to base 15.\nAnswer: 2bd950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 235? (a) 5 (b) 1\/9 (c) 1 (d) -0.1357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 10 + 15, 7*l + o = -0*l - 2*l - 157 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 - 3*l**2 - 8 + 12 + 1. List the prime factors of o(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(320) - -3*(-2*sqrt(5))**2) + (sqrt(280)\/(sqrt(42)\/sqrt(6)))\/((sqrt(120)\/sqrt(5))\/sqrt(3)).\nAnswer: -23*sqrt(5) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(-1\/11)\/(k\/(k**(1\/2)\/k)*k*k)**(-2\/15))\/((k*k**(-2\/7))**29)**(-7) assuming k is positive.\nAnswer: k**(7999\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513) - (sqrt(513)*2 - sqrt(513))) + sqrt(513))\/(sqrt(27)\/sqrt(324) - sqrt(3)))**2*-4.\nAnswer: -24624\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1477*r**2 + 676*r - 80. Let v be z(32). What is v rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 3*x - 2*x + 37 - 16 - 11*x.\nAnswer: -16*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 - 8*p - 82. Let d(g) = 5*g**2 + 13*g + 151. Let z(u) = -4*d(u) - 7*n(u). Calculate z(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(6116\/110 + -59)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9533 and 2.\nAnswer: -19066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24340153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 63, 130, 223, 342, 487, 658?\n\"Answer: 13*y**2 + 2*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 19*w**4\/12 + 29*w**3\/6 + 19*w - 1. Let c(i) = -2*i. Give t(c(b)).\nAnswer: 76*b**2 - 58*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33428 + 17.\nAnswer: -33411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 15*k = -19*k - 624. What is the greatest common factor of k and 15574?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -24*j + 13*j. Let t = 240.1 + -240. What is the second biggest value in 1\/114, j, t?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31473 and 13923.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17805751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*m + f + 99999, 0 = m + 3*f + 19997. Round m to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 14 - 31 = 0. Is 11 a factor of ((-12)\/(-10))\/(j\/660)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27292?\nAnswer: 2, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -8*x + n, -5*x = -10*x + 5*n - 15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1, 0.23, 0?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/(-4) - 2\/(-8). Let o(a) = -a**3 - 6*a**2 - 2*a - 9. Let u be o(m). What is the second derivative of -4*w**2 + 2*w**2 + w - u*w wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66911421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*q + 9 = 366*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80.585 + -85.6799. Let j = 75.1 + -70. Let z = b + j. What is z rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10054211 (base 6) in base 16?\nAnswer: 4627f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26684622 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (0 + (149 - 127))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {w: 3, x: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 8:32 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/8 - 2) + (-2)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0038 and -5.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 51390215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 7*a + 3. Let v be q(5). Let h = v + -5. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:30 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*j - 24 = 0, -2*f = -2*j - 3*j. Suppose 3*b = n + 14, -2*n - 18 = -2*b + b. Let k = n + f. Solve -k = -3*y + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-108)*(-8)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 20. Let x be t(-7). What is the closest to 1 in -2\/9, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25531 and 891.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -22. Let k be (-2 + 7)*8\/z. Suppose -7*x + k*x = 82. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*y - 5*v, y = 6*y - 5*v + 35. Let h be (124\/y)\/((-1)\/(-3)). Is -2 - h - (-1 + 0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.8 * 1.651.\nAnswer: 11.2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:59 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 277 (b) 370 (c) 0 (d) -12 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -bc16?\nAnswer: bc17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7 + 6)*(-p + 3 - 3)*(-p + 3*p + 0*p).\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/333360 and 61\/4167000.\nAnswer: 8334000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 + -53. What is the remainder when 132 is divided by b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 10*w**2 - 5*w - 5. Let j(f) = -5*f**2 - 11*f + 13. Let a(k) = 11*k**2 + 24*k - 28. Let x(c) = 6*a(c) + 13*j(c). Give 2*m(i) + 10*x(i).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -30*y**2 + 8*y + 7. Let o(h) = -61*h**2 + 18*h + 15. Let q(s) = 3*o(s) - 7*v(s). Differentiate q(x) wrt x.\nAnswer: 54*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 4, -0.3, -5, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3243, 2835, 2141, 1161, -105?\n\"Answer: -143*h**2 + 21*h + 3365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(825))\/(-1*sqrt(396)))**2.\nAnswer: 625\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339688883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6226182 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-13)\/11 + 8\/528. Let c be -5 - (-64)\/(-216)*99\/(-6). What is the closest to -23 in k, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400014 and 1466718?\nAnswer: 4400154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 + 1884*u**2 - 5 - 942*u**2 + u - 943*u**2. Let l(d) = 6*d**3 - d**2 + 2*d - 8. Give -5*l(k) + 8*v(k).\nAnswer: 2*k**3 - 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 127. Let v = t - 43. Suppose -i + 56 + 47 = a, -2*a + 2*i + 186 = v. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4c (base 15) to base 9.\nAnswer: -3160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -23 (b) 0.2 (c) 1\/2 (d) -0.41 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 151*r**4\/2 - 8*r**3\/3 + 15*r + 279. Find the third derivative of u(i) wrt i.\nAnswer: 1812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 11*z - 12*z, -4*z = 3*h - 56. Let t = 6 + 1. Suppose -w + 3*p + h = -t, 3*w - 50 = 2*p. What is the remainder when 30 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ioig.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 685777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -1693 + 1658. Solve a*d - 4*d = 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199 by 11.\nAnswer: -199\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + (sqrt(12) - sqrt(36)\/sqrt(3)) - sqrt(12))**2)*-2 + (-4*(sqrt(147) + 0) - sqrt(147)*-3*3)**2.\nAnswer: -16*sqrt(3) + 3639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+159761\nAnswer: 159761.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -447 and 14621?\nAnswer: -6535587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(45)\/sqrt(9) + 5))**2 + (sqrt(5) - (2 + sqrt(15)\/sqrt(3))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 7*n**4\/24 - n**3\/6 - 2*n**2. Let r(v) = v. Let k be (45 - 39)*4\/24. Determine k*j(x) - 4*r(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 69.6 + 8782.\nAnswer: 8851.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(75) + sqrt(75) + sqrt(75) - sqrt(33)\/(sqrt(22)\/sqrt(2)))**2 + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7560 and 27552.\nAnswer: 1239840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/44)\/(1 - 1\/2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1 + 4*v + v**2 - 4 + 0 - 11*v. Let c be m(8). Suppose 33 = c*k - 4*l, -7 = -k + l - 0*l. Solve k = -5*z - o, 5 = 4*z + 3*o - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and 72.23.\nAnswer: -2094.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddtdtdd. Give prob of picking 1 t and 2 d.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59\/245 - 2\/49. Let o(z) = -5*z**2 - 1. Let j(l) = -l**2. Let x(c) = -11*j(c) + 2*o(c). Let n be x(-2). What is the closest to n in 2\/5, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbhhbdbhdhbdbb. Give prob of sequence dd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -448.9 + -1.\nAnswer: -449.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (-1 - -1) - 3) + 5. Let x be 18060\/(-36)*l\/(-2). Let g(n) = 4*n**2 - 1505 + x. Let a(t) = -5*t**2. Determine a(g(h)).\nAnswer: -80*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/14)\/(2\/7). Let b = -1\/690 - 19144\/2415. What is the common denominator of (-6)\/(-14) + 7\/a and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7253 = -39*i - 6629 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006236227893 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhehhh. What is prob of picking 2 h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 815655 and -31.\nAnswer: 815624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.5 + -27.5. What is the biggest value in f, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*h + 185. Let g = h - -96. Suppose -p = -2*p + g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -1057 + 3157. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*a + 230 = 4*j, 5*j - 180 = -5*a. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3\/4, 1, -0.1.\nAnswer: -1, -0.1, 3\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027134257 to 5 decimal places.\nAnswer: -0.02713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35)\/14)\/(2\/(-4)). Suppose 2*v - 11 = -4*p - 3*v, 3*v - q = -4*p. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*h**3 - 3*a**2*h + 186*a**2 + 1350*a*h**2 + a*h - a - 3*h**2 wrt h?\nAnswer: -24*a**2*h + 2700*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 102. What is the second derivative of -r*l - 91 + 91 - 36*l**4 wrt l?\nAnswer: -432*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(72)\/sqrt(2))\/sqrt(2).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*i + 4*m, 2*i + 24 = 71*m - 74*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -14, 1\/46, -0.2, -2\/13, -1?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 29*g + 141. Let m be x(26). Solve 8 = 65*y - m*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 352303530258.02.\nAnswer: 352303530255.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 7*j - 14. Suppose -j*g - 2*g = -8. What is the least common multiple of 0 - 0 - (-9 - -1) and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6688 is divided by 69.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 - 578256*i**3 - 41803860524*i**2 - 919475035248*i - 5056727893778 = 0. Calculate i.\nAnswer: -144553, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:09 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 80 - 148 = 0. Let i = 99 - n. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/((n**5\/n)\/n)))\/(n*n**(-8\/7)*n))**(-7\/3)\/((n**1)**(-7\/3)*(n**(-1\/4)*n)\/n**(1\/6)) assuming n is positive.\nAnswer: n**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b**2 - 4*b + 7. Let d be g(4). Suppose 2*f - 36 = r + 67, 5*f + 3*r = d. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -18. Let l(o) = -3 - h - 2*o - 4*o. Let m be l(-5). Solve -5*g - 4*y = -9, 2*g + m = g - 4*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d - 7. Let k be o(9). Let j be k\/26 - (-36)\/(-234). Suppose 18 = -2*x + 5*v, -5*x + 7 + j = v. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5164272 + 1?\nAnswer: -5164271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 4. Let b = -10280 + 10292. Let m(v) = 0*v - b*v + 11*v - l. Determine m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362518 divided by 2?\nAnswer: 1681259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 410055 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 304, -3\/7, -1, -5, -3\/4, -318?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39902 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(243) - (sqrt(243) + 1 + 5 - sqrt(243))) + 0)**2.\nAnswer: -972*sqrt(3) + 2511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by ((-9)\/(-6))\/(4\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1614*u - 137*u**4 + 67*u**4 - 1 - 20*u**2 + 68*u**4 + 20*u**2 to the form x + v*u**3 + n*u**4 + w*u**2 + g*u and give g.\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70409 and 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/6 - 7*u**3\/6 - 17*u**2\/2 + 6*u. Let h = 15 + -6. Is l(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3178 - 3164. Which is bigger: 238 or m?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2*s - 11. Let h(m) = 3*m**2 + 4*m - 21. Let i(u) = 2*h(u) - 5*j(u). List the prime factors of i(10).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 1182 = 25*h. Is h a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44 (b) 0.24 (c) 0.2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 - 4*x**2 + x - 1. Let i(n) = 14*n**3 - 11*n**2 + 2*n - 3. Let v(b) = 4*i(b) - 11*m(b). Let w be v(-2). Does 9 divide 1 + 3 + 20 - w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 804 divide 456728312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 - 2*y - 11. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 2171*r = 2169*r - 96, -2 = -r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799 = 113*z - 2301 - 591 - 55 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -17*d**2 + 5. Let x be ((-7)\/(21\/2))\/(3\/9). Let i(h) = -4*h**2 + 1. Give x*b(r) + 9*i(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-495*z**2 + 42 + 979*z**2 - 487*z**2)*(-6*z**2 - 3 + 3) to k*z + h*z**3 + f + a*z**4 + r*z**2 and give r.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 12, 1, -14?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 2979?\nAnswer: -2973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*o + 18, -o + 5*x = 3*x + 15. List the prime factors of ((-6)\/6)\/3 + (-1416)\/o.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:17 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61432*o - 48833.\nAnswer: 61432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 4 - d**2 - 3*d**2 + 2*d**2 - 3*d**2. Let j(y) = 3 - 3 + 0 + 0*y - 5*y. What is j(p(n))?\nAnswer: 50*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 202350882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8737172 = 9*i + 2665828. Round i to the nearest ten thousand.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 463*s**2\/2 + 13*s + 10. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4172 or 4173?\nAnswer: 4172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(72 - 72 - 5*h)*(1 + 2*h + 0*h + 1).\nAnswer: -10*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3548090 divided by -14\nAnswer: 253435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 4}. What is prob of sequence ff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 smaller than 0.040973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/25974 and -35\/26.\nAnswer: 25974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -405*b + 57526*b**4 + 5*b**5 + 4*b**3 - 57526*b**4 + 66*b**2 wrt b.\nAnswer: 100*b**3 + 24*b + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -2 - (-39 + 4 + 10 - -30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from rdhhhdshe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490050474.\nAnswer: 2, 3, 81675079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0 + 1820*r - 2 - 13 - 10. Let u be i(3). Suppose -126*p + u = -121*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148415307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33a (base 11) to base 12\nAnswer: 29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/3 (b) -5 (c) 0.2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(2\/6 - 0). Let t = 93 - 60. Let b = t + q. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8048 divided by -9\nAnswer: -8048\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23, -63, -105, -149, -195, -243?\n\"Answer: -j**2 - 37*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**(2\/31)*v*v)**(-39) assuming v is positive.\nAnswer: v**(-6123\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -333*d + 3769. Let c(s) = 533*s - 5654. What is 5*c(h) + 8*z(h)?\nAnswer: h + 1882","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -14. Let p(c) = -2*c**2 + 16*c - 2. What is the remainder when p(5) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-7\/3))\/s)\/(s*s\/s**0))\/(s**0*s\/(s*((s**(-1\/2)*s)\/s)\/s*s)))\/(s**(-1)\/(s*s**(3\/10)))**(-12\/7) assuming s is positive.\nAnswer: s**(-863\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 20. What is the smallest value in -1, -5\/3, m?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/2*(1 + 0). Let j(d) = -9*d - 48. Let h be j(-6). What is the derivative of h - 2 + i + 0*l + 5*l wrt l?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 6*o = -51 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, 363, 1068, 2405, 4584, 7815, 12308, 18273?\n\"Answer: 35*d**3 + d**2 + 35*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k**2 + 30*k**3 - 26*k**2 + 9*k**2 - 8*k.\nAnswer: 30*k**3 - k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1723 or -1538?\nAnswer: -1723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6584 - 5095 = -27*l + 8571. What is the smallest common multiple of 1250 and l?\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043678.\nAnswer: 2, 3, 7, 13, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 1, y: 3, u: 6, b: 1}. What is prob of sequence ib?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3253 + -130123\/40. Calculate the common denominator of -73\/80 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 23. Suppose 2*b = 3 - 1. Let x(v) = -2*v + 6. Let f be x(5). Sort f, t, b in descending order.\nAnswer: t, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65156190 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67557151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12480871 rounded to 4 dps?\nAnswer: -0.1248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -13*z + 7\/6*z**3 - 2 + 3*z**2. Let q(c) = c + 1. What is j(t) - 6*q(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*g**2 + 287127*f**2 - 2*f*g - 44*g**2 - 30*g with respect to g.\nAnswer: -6*f**2*g - 2*f - 88*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 192.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 886*m - 1747?\nAnswer: 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.2 - -39.863. Let o = m + 0.397. Which is the nearest to 6? (a) o (b) -3\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47833 - 179959007?\nAnswer: -180006840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21735 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 642.5 - 2.4174957.\nAnswer: 640.0825043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2. Let k(w) = 6*w**2. Let d(v) = -5*a(v) + 7*k(v). Let h(y) = 7*y + 4. Let s(f) = 57*f + 33. Let p(b) = -33*h(b) + 4*s(b). Determine p(d(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)*s**(2\/11)*(s**(-2\/5))**(-9))**(-2\/3))**(-15\/7) assuming s is positive.\nAnswer: s**(460\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - 5) - (-14)\/56*44?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 - -155. Calculate the remainder when 7 is divided by (-16)\/6*h\/10 - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -22*s + 20 - 18*s + 86 - 13 + 34*s. Let v be u(6). Calculate the highest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1566 + -1448. What is the remainder when b is divided by 47?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3109 - 283*f - f**2 - 3109)*(-3*f + 3*f - f + 24).\nAnswer: f**3 + 259*f**2 - 6792*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w - 3*w)*(-32*w + w**3 + 12*w + 19*w).\nAnswer: w**4 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/4*(-8)\/(-6). Let g = 5 - 3. Let m = q - g. Solve 0 = -4*f + 8 + m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45137169 from -0.04.\nAnswer: -45137169.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*w - 30*w + 18*w)*(3*w - 2 + 6*w - w).\nAnswer: 96*w**2 - 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 n, and 1 j when four letters picked without replacement from eenkinkjlkellkii?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i - 4. Let r be y(3). Let p(l) = -12*l + r*l**2 + 12*l. Let b(m) be the third derivative of -m**5\/12 + 12*m**2. What is b(p(f))?\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/11 + (-28)\/(-154). Let z be -2 + (-54)\/(-12) + (-1)\/y. Solve z*t + 4 = 3*g + 11, -g = t + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3 + (0 + 2 - 4)*(-5 + 3 + 1))*(26 + 38 - 21)*(-1 + 3*m + 1).\nAnswer: 387*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1290879051 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -21*z**2\/2 - 8*z - 29. Let s(m) = -m**2 + 8*m + 4. Let k be s(9). List the prime factors of o(k).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (2 - (-2 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 53, 54?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:20 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5403, -5371, -5339, -5307, -5275?\nAnswer: -5243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 102233 (base 4) to base 3\nAnswer: 1122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from nkkknnnknnkkkknnnk.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**2. Let s(f) be the second derivative of -2*f**3 - 3*f**2\/2 + 28*f. Let p be s(-7). Let i(q) = p*q - 40*q - 39*q. Give i(a(l)).\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/b**(-19\/3) assuming b is positive.\nAnswer: b**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1651*p**4*x**3 - 10*p*x**3 - 3*x**3 + 2*x wrt p.\nAnswer: -19812*p**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -1\/2 - 3*y**3 - 7\/6*y**4 - 11\/3*y**2 - 13\/6*y - 1\/6*y**5 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = o - 3*o + 245, 0 = 3*o - 2*c - 370. Calculate the greatest common factor of o and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2020751928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145 - -335) + -177 + (20 - (0 - 1))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taiabibiattibuatiut. What is prob of sequence abb?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1661, -7671, -23957, -55655, -107901, -185831, -294581, -439287?\nAnswer: -625085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y. Let g(o) be the third derivative of 61*o**6\/360 - 113*o**3\/6 - 3*o**2 + 2. Let p(w) be the first derivative of g(w). Determine p(a(t)).\nAnswer: 549*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 2*d**3 + 0*d**3)*((2*d - 3*d + 2*d)*(-8*d + 3*d + 3*d) + 13*d**2 + d**2 + 25*d**2).\nAnswer: 74*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3329*a**3 - 2*a**2 + 13316*a + 8.\nAnswer: -(a - 2)*(a + 2)*(3329*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-9)*3*(-1)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2856 = 2846 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*-490525\nAnswer: 2452625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64*h**3 + 7*h + 4838 wrt h?\nAnswer: 192*h**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 31 + 23. What is the remainder when 68 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + w**2. Let s(f) = 6*f**3 - 10*f**2 + 4*f. Let c(b) = s(b) + 2*x(b). What is j in c(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -70*i**2 - 7*i - 4. Let g(y) = 139*y**2 + 13*y + 6. Determine -3*g(c) - 5*h(c).\nAnswer: -67*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 25. Suppose x = -2*q + 6, -3*q + o*x - 9 = -x. Let k be (-31 - q)*(501 - 1). What is k rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*k = -6, -5*k + 15 = a + a. Suppose 3*j - 2*q = 3*q + 1, 2*q - 6 = -2*j. Solve a = j*x - 5*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 20*a**2 - 220*a + 58. Calculate j(28).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-387)\/(-60))\/((-60)\/(-50)) and -47\/3938?\nAnswer: 15752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 3*q**2 - q + 4. Let d be l(3). Let r(n) = 4*n**3 + 3*n**3 + 1 - 3*n**3 - 2*n**2. Let v be r(d). Solve 5*s - o = 3*o, -v*s - 4*o = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14998, -14973, -14944, -14911, -14874?\n\"Answer: 2*f**2 + 19*f - 15019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.62+0.08\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -0.2, 272 in decreasing order.\nAnswer: 272, 5, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29066 - -61533. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Let b(x) = 49*x + 34 - 50 + 21. Let m(a) = 759*a + 77. Let r(o) = 77*b(o) - 5*m(o). What is k(r(l))?\nAnswer: 484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 772659724 to the power of 1\/3, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - -14. Suppose 96 = 4*s + 4*b, 0*b - 2*b + 2 = 0. What is the remainder when x is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -66*u**2 + u**2 - 2*u**2 - 1. Let i(a) = a**2. Calculate f(i(y)).\nAnswer: -67*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 111*(-2 - (-4)\/24*10). Let i = z + 143. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2952 and 119\/61254.\nAnswer: 245016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/((-72)\/(-1836)*-34).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 20. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-2)\/(-6)*(-26 + 23). Sort -1, 0, w in increasing order.\nAnswer: w, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61249, -61247, -61243, -61237?\nAnswer: -61229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80027.\nAnswer: 79, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 144*g**3 - 56 - 81*g**3 + 107.\nAnswer: -225*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 0.4 (c) 8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 8. Let u be n(-4). Suppose i + 11 = -5*v, 3*i - 23 = -u*v + 3*v. Suppose -c + 89 + i = 0. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52286934151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2 - 1328*p + 152800 = 0.\nAnswer: -764, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-18)*s**(-20)\/s)\/(s**(-12)*s)**9 assuming s is positive.\nAnswer: s**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**3*q**2 + 11038*f**3 - 62*f**2*q**2 - 2*f**2 - 3*q with respect to q.\nAnswer: 6*f**3*q - 124*f**2*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, -0.3, -1\/2 in increasing order.\nAnswer: -184, -1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.096655 millilitres in litres?\nAnswer: 0.005096655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15 + 20\/5)\/1. Let j = 34 - s. Suppose 4*a = 3*r + 48, 5*r + 20 = -0*r. Calculate the greatest common divisor of j and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((690\/(-1380))\/(42\/(-4)))\/((-32)\/(-14)))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2091 and -836002523.\nAnswer: -836004614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13254 is divided by 381.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 1 - (7 - 4) - (327 - 337).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3422408397177 and -0.21.\nAnswer: 3422408397176.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3105, 9366, 18783, 31356?\n\"Answer: 1578*o**2 + 1527*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.04 - -0.04. Let a = 30.68 - 26.2. Let z = a + -2.48. Sort 0.5, z, x, 0 in descending order.\nAnswer: z, 0.5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358626.\nAnswer: 2, 67, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -239017, -955564, -2149811, -3821758, -5971405, -8598752, -11703799?\n\"Answer: -238850*w**2 + 3*w - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2736) + 1*sqrt(2736) + -3 - ((sqrt(2736) - (0 + sqrt(2736)))*-1 + sqrt(2736))) + -4*((sqrt(2736) - (sqrt(2736) + 2)) + sqrt(2736))*1)**2.\nAnswer: -720*sqrt(19) + 49298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 621 by 673.\nAnswer: 621\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 4, c: 2, w: 3, t: 7}. What is prob of sequence cwc?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 6*m + 6. Let t(f) = 3*f**2 + 13*f - 12. Let i(b) = -3*t(b) - 5*z(b). Let a be i(9). Suppose a*k - k - 70 = 0. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w - 3*w)*(3 - 3 + 1) + 383*w + 355 - 734*w + 342*w.\nAnswer: -10*w + 355","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/60 - b**4\/24 + b**3\/2 + 53*b**2. Let o(v) = -v**2 + 2*v - 4. Calculate -3*o(f) - 4*q(f).\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 1. Let i(c) = -4*c - 5. Let a(t) = -20*t. Let u be a(1). Let d be 3 - (-5)\/(u\/16). Let j(b) = d*i(b) - 4*h(b). Calculate j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -73374\/107003?\nAnswer: -73374\/107003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from bbjbbbjbbbbjbbjbbbbb?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 406 - 406.571. Let l = t - -17.531. Let u = l - 17. Round u to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21613, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 16*m + 12. Find the common denominator of -5\/42 and m\/24*((-1064)\/(-6))\/(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o**2 - 40*o**2 + 14*o**2 to r*o + s + g*o**2 and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1051*n**3 - 8*n**2 - 15*n + 4. Let a be w(-4). What is a rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m - 25*m**3 + 5*m + 12*m + m**4 to g + r*m**3 + h*m**4 + l*m**2 + f*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-42)*((-27)\/(-5))\/3*(-724270)\/3243?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3635)\/1454*28\/10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.044, -3, 1\/4, -0.4 in decreasing order.\nAnswer: 1\/4, 0.044, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 20*j - 26*j + 54, 4*j = 20 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/(1*(-1 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19143.40931746 - -0.2\nAnswer: -19143.20931746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -17*z**2 - 3*z. Let f(v) = 86*v**2 + 16*v. Let c(b) = -3*f(b) - 16*h(b). Let m(g) = -2*g. Give c(m(s)).\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/722553 or 1?\nAnswer: 1\/722553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6 and 24\/(-40)*((-16345)\/2142 + 7).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1003.6 - -1003.6406. What is the biggest value in 1, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14808 by 2468.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13989 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1404 and -101\/2132052.\nAnswer: 19188468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 111001?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 42*d - 296. Suppose 4*r + 56 = 3*j, j + 2*r - 27 + 5 = 0. What is the tens digit of y(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvr when three letters picked without replacement from vrvvvvvvrvvv?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -52.57. What is f rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 2*r - 2. Let u(x) = -5*x**2 - 9*x - 9. Let l = -4 + 13. Let y = -2 - 0. Give l*p(a) + y*u(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3539\/17 + -208. Let l(v) = 203*v + 20706. Let p be l(-102). Is j < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12779465 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 at least as big as 221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3558966 to 3 decimal places.\nAnswer: 0.356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29783.1ml in litres?\nAnswer: 29.7831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -8, -3, 15420?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12547396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2 + 239*h + 44.\nAnswer: -2*h + 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463 + 789. Find the second derivative of -323*i + w*i + 3*i**2 - 3*i**2 - 4 + 7*i**2 wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/5, -116, -1, 0.4?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4816)\/(-40))\/43)\/((-3)\/5)*189\/18?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0061, 0, 1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*8\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*32\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-20))\/((-3)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -85*b - 22. Let f(s) = s - 11. Let k be f(9). Let c(v) = -84*v - 22. Let w(i) = k*c(i) + 3*t(i). Is w(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364.4385km to micrometers.\nAnswer: 364438500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50848 + -104477\/2. Let n = 1391 + w. Suppose 0*j - 1\/6*j**3 + 0 + n*j**2 = 0. What is j?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a7b (base 13) to base 10\nAnswer: -6186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 <= -281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -320701 times 0.1?\nAnswer: -32070.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 + 74*x - 36*x - 38*x.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67638 and 1032.\nAnswer: 11633736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:03 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - n. Suppose -4 = -j + 2. Suppose -3*l = -j - 12. Let r = l - 2. Let f(s) = 2*s**2 - 2*s + 1. Determine r*m(t) - f(t).\nAnswer: 2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.662351 less than 1058.49652?\nAnswer: 1057.834169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0466*-0.41\nAnswer: 0.019106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10447*z**2 + 31364*z**2 - 10489*z**2 - 10469*z**2.\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 659 + -659. Solve -h - h = r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1*-5*-1 - ((sqrt(192) - (sqrt(192)*2 + 3)) + 5))**2 + -4.\nAnswer: -192*sqrt(3) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 - -10.5. Let k = -12.99999997 + z. Round k to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 561 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4693 = 7*o + 1788. Let a = -263 + o. Calculate the remainder when a is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86137, 86357, 86723, 87235, 87893, 88697?\nAnswer: 89647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/4 - 1)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 65.12. Let a = -3.6 + 6.72. Let t = x + a. Sort -0.3, 5, t.\nAnswer: -0.3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5550.61 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r**3 + 615068*r**2 + 1366656*r + 273328 = 0 for r.\nAnswer: -17083, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*g - 46 - 80, 2*g - 42 = -x. Suppose 2*s + s = x. Calculate the greatest common divisor of s and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6476925 and -76\/7665.\nAnswer: 6476925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021555894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 5239500 rounded to the nearest 10000?\nAnswer: 5240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 8. Let r(a) = 1411 + a - 687 - 724. What is r(x(z))?\nAnswer: z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 49. What is f(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 8 (b) -3 (c) 3 (d) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 1210?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31988 - -64826. Does 78 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -50.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15333 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5343)\/24 + 6\/(-16). Let s = -88 - l. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 6*l**2 - 7*l - 4. Let i = 1989 + -1985. Determine d(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 64. Let b be t(8). Suppose -2*m - 50 = -b. Solve 3*k + 9 = -m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.4, 1018, -2\/17, -2\/11, 0.02, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 952174486 - 0.14?\nAnswer: 952174485.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(54)\/(sqrt(9)*-2))\/(-5*(sqrt(3) + sqrt(3) + sqrt(12)\/sqrt(4))*-6).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 - 1698*o**2 + 3393*o - 1696 = 0. What is o?\nAnswer: 1, 1696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 773 + 737. Let o = 8 - 5. Suppose 3 = -3*v + u, o*v - t*u - u = -3. Put 0, v, -3 in ascending order.\nAnswer: -3, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328 - 323. Let f = -24 + 9. Which is the closest to f? (a) 2 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 6*f + 5. Let c be b(6). Let h(g) = -5*g + g - 10 - c*g - 4*g. What is the tens digit of h(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 10*p + 5*p - 65, p = -2*i + 11. Suppose -i*y = -744 - 696. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1077 - -1080. Which is the closest to 0.15? (a) -2\/3 (b) -2\/9 (c) v (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {n: 8, s: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2696*h - 632*h**2 + 5384*h - 2690*h to a*h**2 + c + g*h and give a.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -194\/5. Let y = 3 - 1. Which is the closest to y? (a) -1\/2 (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 20. Let v(r) be the second derivative of 1\/12*r**4 + 0*r**3 + 0 + 0*r**2 - s*r. Let n(j) = -4*j**2. Determine v(n(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725 - 597 = -16*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.104 - 13. Let c = 0.6 - 0.7. Let j = c + a. What is j rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 653\/2982 - 1\/213. Let k = -13\/28 + j. Suppose -4 = -2*s + 6. What is the second biggest value in k, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*l - 949141 = 189*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 + 9*a + 17. Let u(g) = -6*g**2 - 9*g - 18. Let w(h) = -5*r(h) - 4*u(h). Let q be w(-6). Solve -q*x + 0 = -10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 + -66. Calculate the remainder when 3*((-29)\/(-3) + 1) is divided by (-69)\/(-6) - k\/(0 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/297 and -119\/27162.\nAnswer: 298782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 52 = -5. Let j be (-8)\/l*(-9)\/12. Let h = 4 + -4. What is the second smallest value in j, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064.493 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-21))\/3*(-56)\/(-16). Let o(d) = 9*d**3 - 27*d - 4. Let i(n) = -4*n**3 + 14*n + 2. Give c*o(u) - 5*i(u).\nAnswer: 2*u**3 - 16*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 13*h**6\/30 + 7*h**4\/6 + 9*h. Find the third derivative of k(g) wrt g.\nAnswer: 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 12. Let p be v(6). Let l(a) = -a - 4201 + 2093 + 2100. Give l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + r**3)*(-2*r - 2*r + 7*r - 2*r + 4*r - 3*r + (-2 + 3 - 3)*(0 + 2*r + 0) + 2*r + 0*r - r)*(-2 - 4 - 1).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*d - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, d: 1, u: 10, v: 2}. Give prob of sequence vd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19934\/(-13)*(-1)\/2. Let f = p + -33145\/39. Let l = f + 250\/3. Which is the nearest to 0.1? (a) 2\/5 (b) l (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 120\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20144 - 8*v - 10153 + v - 10116 to o*v + n and give n.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -636 - 441 - 102121*l**2 - 111 + 102119*l**2 - 16*l.\nAnswer: -2*l**2 - 16*l - 1188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:43 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 116 = -2*f, 2*k - 126 = -2*f + 6*k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/8*8\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565 divided by 1?\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-2))\/(-2) + -21 + 103. Let u = b + -56. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4768191466 to the nearest integer?\nAnswer: 69052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 81 + 21. What is the remainder when 29 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2059 and 41731.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggibbhhqgb. Give prob of picking 1 g and 1 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1508, -3389, -5308, -7265, -9260?\n\"Answer: -19*q**2 - 1824*q + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 - 414*s - 2806. Give w(-20).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g**2 - 3*g + 1. Let i = 7 + -10. Let b be x(i). List the prime factors of b - (-1 + -3 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.617 rounded to 1 decimal place?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*w**3 + 78*w**3 - 68*w**3 + 76*w**3 + 79*w**3 - 249*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5 + 1. Let x(p) = 0 + n*p + 0 + 0. Let q(a) = -30561*a**2 + 3111. Let j(w) = 59*w**2 - 6. Let m(f) = 1037*j(f) + 2*q(f). Calculate x(m(r)).\nAnswer: 122*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36896937*c**2 + 30415551.\nAnswer: 73793874*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -106*b + 231. Let o(w) = -159*w + 370. Let n(v) = -5*o(v) + 8*y(v). Calculate n(-2).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5915452833 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {v: 1, j: 3, o: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 17488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 427682 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484 = -14*u + 2*r, 0*u + 83*r - 38*r - 40*r + 14 = -u for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-624)\/(-936) + (-1)\/6)*9\/882.\nAnswer: -1\/196","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (3 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 723413 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + 6*p**2 + 2*p. Let s(f) = 3*f**3 - 7*f**2 - 2*f. Let n be 64\/12 - (8\/(-3))\/(-8). Calculate n*s(x) + 6*v(x).\nAnswer: 3*x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4729 - 4723. Solve -9*m = 5*q - z*m - 20, -q + 4 = 5*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 12*o + 56. Calculate g(-19).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*b - 1. Let s be -4 + (-2)\/((-8)\/(-76)). Let v(q) = 2*q**2 + 44*q - 41. Let j be v(s). What is the biggest value in 1, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1707, 2\/5 in increasing order.\nAnswer: -3, 2\/5, 1707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -2*g**6\/15 - 3*g**2\/2 - 5*g + 5. Let l(h) be the first derivative of k(h). Differentiate l(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -71238?\nAnswer: -142476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:32 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f**(-1\/5))\/((f*f\/f**(-2\/5)*f)\/(f*f\/f**(-1))))\/(((f*(f\/(f**(-1\/2)\/f))\/f)\/f**(1\/5))\/((f\/(f*(f**(1\/5)*f)\/f*f))\/f*f**(2\/3))) assuming f is positive.\nAnswer: f**(-91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1311024 (base 5) to base 2\nAnswer: -110010010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-4)\/(-630)*-35*(-4)\/16?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) 1\/3 (c) -17773\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.9 + 1.9. Let t = a - -21.3. Let r = t - -0.7000017. Round r to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -1 - (-10 + 11 + 10 - 20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302150 rounded to the nearest 1000?\nAnswer: 302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-704)\/(-384) - 5\/15*12?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1027*n - 1032*n - 1028*n + 3082*n + 7. Let v(o) = -11*o + 13. Give 6*v(j) - 11*w(j).\nAnswer: -11*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -5. Suppose -j = -4*t, 5*o + 0 = -2*t + 6. Suppose 5*z + o*l + 4*l - 106 = 0, 92 = 4*z - 4*l. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -269 - 43. Let c = h + -14. Suppose -4*j = -33 - 7. What is the lowest common multiple of j and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 31 = 3*m, -6 = -3*m + 9. Let p(c) be the first derivative of -c + 1\/10*c**5 + 6 + 1\/6*c**3 - 3\/4*c**2 + 3\/8*c**x. Solve p(w) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -5, 7, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/10 - 66066584*d\/5 - 2182396760714528\/5.\nAnswer: -(d + 66066584)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from ononeynooy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w. Let d(f) = 5*f**2 + 6. Let i(r) = 1. Let u(m) = d(m) - 6*i(m). Calculate u(l(j)).\nAnswer: 125*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 divided by -4780?\nAnswer: -241\/2390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c - 2. Let m be f(2). Let r = m + 29. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-3 - (-3 - -1)). Suppose -2*w - 3*d + 3 = 4, -2*w + 23 = -x*d. Calculate the lowest common multiple of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, p: 5, y: 1, b: 4, d: 1}. What is prob of sequence pbb?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)\/z)\/z)**(-4)\/(z*z**1*z)**(-36) assuming z is positive.\nAnswer: z**(820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3742 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 774*q**2. Let z(r) = -133*r. Determine s(z(h)).\nAnswer: 13691286*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from rrrllrlrrrlrrrllrrr?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 172 = 4*u, 4*u - 103 = -2*h + 9*u. Let l be (h\/280)\/((-4)\/(-10)). Factor 0 - l*z + 2\/7*z**2.\nAnswer: 2*z*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.5564235 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007048 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70672 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 5*q - 50 = 0, 2*d = -2*q. Let r be d\/(-1)*(0 - -1). What is the third derivative of 5*t**2 - 4*t**2 - 2*t**r + 0 + 0 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 252042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 1:29 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 32 (c) -80 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122370794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 31746?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60433.0052 - 60541. Let q = 108 + z. Round q to four decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 184 + 171 + 187 + 421 + 28)*(-1 + 2*f + 1) as l*f**2 + r + h*f and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 27 + 69. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 7 (c) 0.1 (d) 0.05 (e) -4\/9 (f) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19124548 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5 + 11. Factor 1\/2*s**n - 1 + 1\/2*s.\nAnswer: (s - 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 - -336.7. Let g = 0.9029 + -29.3029. Let f = q - g. Round f to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 3*u + 0*u)*(-62 - 1 + 19) + 3*u + 5 + 4*u - 10*u + u - 4 + 4 as v*u + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 4*b + 9. Let j be (-15 - -13)*(5\/2)\/(-1). Let r be k(j). Suppose -a - r*a = -20, 2*a = -2*u + 12300008. Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) - (-3237)\/(-135). Let b = -1039\/63 - w. What is the common denominator of -28\/5 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269 + 259. Let i(y) = -y. Calculate i(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Suppose p + 4*p = 15. Suppose 3*h = p*i - 30, -3*i = 3*h - 21 + 3. Solve s = 3*a - i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q - 4. Let z be 2 + (4\/(-4) - q). Solve 5*g + z = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 2494.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*h + 51, -5*r + 4*r + 2*h = -9. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 33 = -5*y + 15, 5*y = -3*m + 31. Suppose 5*j + m = q, 2*q + 2 = -j - 8. What is the second smallest value in 1\/7, -1\/7, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*x**2 + 3*x - 16*x + 10*x + (x + x - x)*(2*x + 0*x - 3*x) as z + k*x + b*x**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 4*q - 5*g + 92, -4*g = -2*q + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 5. Let o(z) = 2*z + 3. Let f(c) = 60*c - 65. Let t be f(1). Calculate t*o(u) - 3*s(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 24*c**2 - 3*c**3 + 16 - 2*c + 2*c + c + 6*c**3. What is the lowest common multiple of a(-8) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**9*c))\/(c**(2\/13)\/c) assuming c is positive.\nAnswer: c**(-106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - t - 1. Let w(l) = -l**2 + 3. Calculate 3*j(m) + w(m).\nAnswer: -4*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38\/3 + -13. Let q = 17 + -16.7. What is the smallest value in f, 4, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4112, 8224, 12336, 16448?\n\"Answer: 4112*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4590 = -2*h + 2*x - 4544, 15*h - 5 = -4*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 127 = 5. Let g = f - -31. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*j**2 + 1)*(-j - j + 4*j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 9. Let d(c) = 387*c**2 + 13*c - 5. Give d(b(p)).\nAnswer: 387*p**4 + 6953*p**2 + 31225","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133\/(14 + (-181)\/13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1955 + 1954. What is the second biggest value in -2, q, -52?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, -2, 8, -3 in decreasing order.\nAnswer: 21, 8, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 23*y - 5*y.\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.1 (b) 4\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*y - 38 = 0, 6*x - 20 = x + 5*y. Suppose -1920 = x*v - 21*v. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11215 or -11226?\nAnswer: -11215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186180244549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 244?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1555 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i**3 + 2*i**2 + 3*i + 3. Let w(o) = -o**3 - o**2 - o - 1. Let x(h) = f(h) + 2*w(h). Let n be x(-1). Let z = n - 6. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*a - 2 = 1, -5*t = -a + 12. Let i be -1*1 + (t - -36 - -1). Which is bigger: 30 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -487 (base 16) to base 7\nAnswer: -3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6717114 by -4694.\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 divided by -93.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 2, k: 1, o: 3, w: 1, z: 2}. Give prob of sequence wffk.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-194)\/8 - 3\/(-12). Let x = h - -29. What is the units digit of 48\/(24\/8 + x\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 245*j + 251*j = 34, -4*p = -4*j + 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54.999765 - 55. What is o rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = m + 6, 0 = -0*m - m + a + 6. Is 1*(891 + m\/((-12)\/8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-11) - (-34)\/(-187). Suppose 3*y + o*r = 107, 0 = -5*y - 5*r + 199 - 19. What is the remainder when 629 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218004 is divided by 14486?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10859 - 3862. Is j 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 201 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2)\/y))\/(y*y**2))**(-47)*(y**2*y*y**(5\/2))**(-21\/4) assuming y is positive.\nAnswer: y**(-607\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43676 (base 16) to base 10.\nAnswer: -276086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 1\/3, -0.1, 5014.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**27\/j**(-14\/11))**(-3\/13) assuming j is positive.\nAnswer: j**(-933\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 1296?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1 + -1*2. Suppose -f + 72 = 3*f. Does 10 divide 292\/f + y\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-2)\/(16\/28))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*t**2 + 295*d**3 - 1335*d**2*t**5 + 2*d*t wrt t?\nAnswer: 2*d**3 - 26700*d**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/43)*k*((k\/(k\/(k\/(((((k*k**(2\/65))\/k*k)\/k*k)\/k)\/k*k))))\/k*k)\/k)**(-5\/3))**33 assuming k is positive.\nAnswer: k**(-31229\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6668021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*l + 49*l + 53*l + 37*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 15\/158 (c) -1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 38. Let h = a - -73. Suppose 3*z + h - 111 = 0. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/14 of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 - 12*o - o**4 - 3*o)*(-o + 2 - 2).\nAnswer: 2*o**5 + 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (106807\/145)\/(1\/((-10)\/(-2))). Which is greater: 3684 or i?\nAnswer: 3684","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, 10 in decreasing order.\nAnswer: 10, 5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.86239 + -0.03761. Which is the second biggest value? (a) -4 (b) 0.3 (c) 2\/9 (d) -27 (e) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -27483?\nAnswer: -2748b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10237, -5, 5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12123 - -121?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = 32*m - 34*m. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76230 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*j - 8 = 0, -3*m - 2*j = 45 - 27 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 + 5*f + 5. Let m(z) = 3 + 12 - 6 - 15*z**2 + 45*z - 36*z. Give 5*m(b) - 9*n(b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 35*o**2 + 39. Let g(b) = -36*b**2 - 39. Let h(d) = -4*f(d) - 3*g(d). What is the first derivative of h(j) wrt j?\nAnswer: -64*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1687 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -2 + -1)*-1. Solve -4*f + 0*f = k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 2*o**2 - 6*o**2 + (5 - 5 - o)*(-3*o + 10*o - 5*o) + (-1 + 1 - o)*(o - 3*o + 4*o) - o**2 + 22 - 154*o - 22.\nAnswer: -7*o**2 - 154*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.192 - -0.222. Let t = q - 0.141. What is t rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.03 (c) -40\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 8:54 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 1. Let u(v) = v + 2. Let d(n) = -u(n) + 3*x(n). Let i be d(-4). Find the second derivative of 15*y**4 + 24*y**3 - 24*y**3 - i*y wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/95)*o**(1\/6)*(o**(-2\/19))**22)**(-1\/2) assuming o is positive.\nAnswer: o**(1213\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t + 22. Let v(o) = 13*o - 31. Let z(d) = 4*f(d) + 3*v(d). Let q(b) = -17*b - 9. Determine -6*q(r) + 11*z(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 6)*(-5)\/(-2). Suppose 2 = s*j - 3, -3*j - 7 = -5*o. Solve 0 = 2*i - o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5651510 and 55916?\nAnswer: 3994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3253*g**3 - 7*g**2 + 733.\nAnswer: 19518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z + 2*z + 55634*z**2.\nAnswer: 55634*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12173353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + v**4 + v - 40 + 33 to the form j*v**3 + i + q*v**4 + b*v**2 + a*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -1, -0.2, 14, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -0.5, -0.1, 3, -5, 100?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/((-2489)\/(-262)))\/(2\/((-4)\/(-7))))\/(-22).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822965.7 days in milliseconds?\nAnswer: 71104236480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*i - 14*i + 20*i)*(839*i**4 + 106*i**4 - 74*i**4 + 503*i**4).\nAnswer: 45342*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g + 61*g = 137*g - 574834. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331794?\nAnswer: 2, 3, 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 6*i + 9. Suppose 7*u - 5 = 6*u. Let t be a(u). Factor 0 - 1\/2*x**t + 0*x + 0*x**2 - x**3.\nAnswer: -x**3*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2564408 by 1282204.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -381, -1335, -2865, -4971, -7653?\n\"Answer: -288*o**2 - 90*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -680136 (base 9) to base 8.\nAnswer: -1432560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 1025*o + 1 - 95*o**2 + 964*o wrt o.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-18)\/(v**9\/v) assuming v is positive.\nAnswer: v**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -4.08\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = 4*z + 38, 5*l = -2*z - 54. Let d be 15\/l*12\/(-9). Solve 3 + 3 = d*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -966 - -967.797. Let p = t - 1.8. Round p to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (318\/(-6784)*-112)\/(1\/((-16)\/2)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 18 + a**2 - 5*a + 7*a + 11*a. Suppose 31 = -3*q - 5*s, 463*q - 32 = 466*q + 4*s. Let k be y(q). Calculate the highest common factor of 54 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/10 and (-153)\/(-9) + -15 - (-62)\/(-120).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1136 + 1139.996. Let k = q + 0.004. Which is smaller: 0.08 or k?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -84. Suppose 28 = h*v - v. Solve -1 = -3*y + v*y + 2*i, 5*i = 4*y + 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41447 and 87669?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -11.5.\nAnswer: -0.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*v**3 - 9*v**3 - 7*v**3)*(3 - 3 - 3) in the form z*v**2 + u*v**3 + o + y*v and give u.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 5*d - 2*d + 4*d. Let g(h) = 3*h**2. Determine g(f(z)).\nAnswer: 363*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1729 - -3775. Calculate the smallest common multiple of s and 1488.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1\/6)\/c*c*c**(-2\/5)*(c\/((c*c**(-2\/9)*c)\/c))\/c*c\/c**(5\/2) assuming c is positive.\nAnswer: c**(-83\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(1 + -2))\/2. Suppose b = 5*f + 2*l - 50, 3*l - 30 = -3*f - l. What is the highest common factor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 3 - 5)*(5*s - 10*s + 0*s)*(4 - 4 + 9) - 2 + 2 - s.\nAnswer: -226*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2*b + 2. Let w be t(-6). Let s = 26 + w. Calculate the remainder when s is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 1\/8 (c) -2 (d) 1\/7 (e) 1434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (6\/3 - -3). Let u be (-39 - -3)\/(-6) - 3. Solve u*q - 5 = y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 101951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12634 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1272 = -7*b. Suppose -5*w - 33 + b = 0. Suppose -2*i = -3*u + w, 4*u - 13 = 4*i + 63. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -0.5 (c) 55 (d) 26 (e) -5 (f) 0 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 5 = 4*y. Let j be (y + 3)\/(1\/11). What is the highest common divisor of j and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*g = 28, 3*c - 2*g + 6*g = 7. Suppose -3*m + c*m = 666. List the prime factors of m.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150745 = -2171*h - 127143 for h.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 419, 2\/19, -9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 199 = -4*f, -4*r = 4*f + 122 - 930. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1092.4841*0.01\nAnswer: -10.924841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(2\/9))\/w)\/((w\/w**(-2))\/w))\/(w*w**(3\/5)*w*w\/(((w**(-2\/3)\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-427\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 280 - y**2 - 94*y**4 + 2*y - 157*y**4 + 0*y**2 + 4*y**4 - 278 to n*y**2 + c + m*y**3 + a*y + w*y**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, b: 3, p: 3}. Give prob of picking 1 b and 1 p.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -13*t**2 - 3. Let h(d) = 37*d**2 + 8. Let r(k) = -3*h(k) - 8*n(k). Let y(p) = 6*p. Determine y(r(z)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753*a = -766*a + 195 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)*q\/(q**(-8)\/q)*q)\/(q*q**(2\/15)*q*q\/(q\/(q*q**(1\/10)*q))))**(13\/5) assuming q is positive.\nAnswer: q**(2509\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6 - 14. What is the remainder when 17*(-9)\/(-21) - (-2)\/(-7) is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 571464?\nAnswer: -57145b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -448, -1117, -2092, -3379, -4984, -6913, -9172?\nAnswer: -11767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 2*v + 2*v)*(13*v + 2*v + 2*v).\nAnswer: -34*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 - 11*r**5\/60 - 11*r**4\/24 + r**3\/2 + 108*r**2. Let j = 32 - 42. Give k(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -328207903, -328207900, -328207897, -328207894?\n\"Answer: 3*r - 328207906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*12\/45*(-325)\/(-52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 12*t + 15704 = 0. Suppose -4*n + 3832 = -t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194024773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1394 + -555. Is 89 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4584*x - 6. Let f(p) = 4586*p + 4. Give -3*f(i) - 2*k(i).\nAnswer: -4590*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**2 + 6*p. Let t(a) = -30*a**2 + 25*a. Let k(x) = -6*t(x) + 25*v(x). Let b(g) = 2*g**2 + 5. Calculate b(k(w)).\nAnswer: 50*w**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-13 - -23)) + (4 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 + -5 + 0 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -4801\/986?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14*g**3 - 4*g**2 - 18*g. Let t(v) = 15*v**3 - 4*v**2 - 18*v + 1. Suppose -b + 4 = -2*b. Let q(s) = b*t(s) + 3*y(s). Determine n, given that q(n) = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638 = 11996*k - 12007*k for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.609452 nanoseconds in minutes?\nAnswer: 0.0000000004768242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zryryhj. What is prob of picking 1 y and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 94461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 5*r**3 - 5*r**3)*((0 - 2 + 0)*(-2 + 3 + 0) + 1 + 3 - 2 - 6 + 2 - 1).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 + -4.25. Which is the fourth biggest value? (a) 0.2 (b) n (c) -3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:53 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*(-3 + (-11)\/(-2)). Let s = -18 + z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, 0, 18546, -4 in descending order.\nAnswer: 18546, 3, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103808909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(143)*-4 - sqrt(143)) + -1*sqrt(143)*-6)\/(-2*(sqrt(1100) - (sqrt(1100) + (sqrt(1100)*1 - sqrt(1100)) - sqrt(1100)))) + 0.\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/120 + s**5\/12 - s**4\/8 - s**3 + 2*s**2 + 71*s. What is l(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 364589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 39979.7 and 1.48.\nAnswer: 39981.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1220.2 - 1220.1. What is the biggest value in -2\/3, 1.17, n, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69446707717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 6bb?\nAnswer: 6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (-1 - (19 + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - -231. Let r = p - 156. Suppose -d = 3*o - 51 - r, -5*o - 4*d + 280 = 0. What is the greatest common factor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 11 - 2 = 0. Suppose -5*n - 5*u + 3150015 = -0*n, 5*u = f*n - 1889985. Round n to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 1, i: 8, c: 1, p: 7}. Give prob of sequence tci.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 100. Solve 0 = 5*v - c - 24, v = -h*v - 3*c + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*f + f - 7 = 0, 5*a - 2*f - 19 = 0. Solve 20 = 2*d - 5*k + 16, 5*d - a*k - 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 288*h + 42329. Give x(-147).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0) + -9 + 19 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 14. Suppose 0*p + 6 = -3*p. Let x be 2 - (4\/p)\/(-2). What is the second biggest value in t, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.174 - 2.174. Put 1\/5, g, -0.4, -4 in ascending order.\nAnswer: -4, g, -0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 2370?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1894 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86540 and 6763101?\nAnswer: 135262020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3204654ml in litres?\nAnswer: 0.0003204654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*q**2 + 24*q + 162.\nAnswer: -2*(q + 3)*(5*q - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1\/30*f**6 - 3*f - 1\/12*f**4 + 0*f**2 - 1\/20*f**5 + 0 + 1\/6*f**3. Factor y(h).\nAnswer: h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308592 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.4 and 0.2.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1865\/2 + 113773\/122. Let q = 174\/793 - h. Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 6 + 13 - 7.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -2, -929, 0, -1, 4, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 0.07 (c) -0.6 (d) -0.3 (e) 0.5 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10.24. Let o = -0.13 + y. Let n = 0.23 + o. Round n to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1441 (base 6) to base 3.\nAnswer: -112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-12) + -1)\/(14\/2000). Let r = -3722\/105 - d. Find c such that -r + 2\/15*c - 2\/15*c**3 + 4\/15*c**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000331826786 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*c - 7073246 = -2621919. List the prime factors of c.\nAnswer: 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n + 32*n + 3712 = 0. Suppose -2*r - 2498 = 19*w - 23*w, 3*w + 2*r = n. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2838*w = 2602*w - 2832 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -53. Let x be (-30)\/t*(-6)\/5. Suppose -2*u = 4*z + 2*u, -5*z - 4*u = -3. Sort x, 4, z in descending order.\nAnswer: 4, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 + -0.03. Suppose -6*f = f + 10*f. What is the closest to f in l, -3, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/17 + 32832*i\/17 = 0 for i.\nAnswer: 0, 16416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -138 - 2*m + 138. Let a(v) = -6*v. Calculate a(l(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + c**3 + 2*c + 2*c**3 - 2*c**3 + 2*c**3 + (-67 + 32 - 62)*(3 - 3 + c**3) in the form f*c**3 + s*c**2 + o*c + z and give f.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1153455, -1153426, -1153387, -1153338, -1153279?\n\"Answer: 5*l**2 + 14*l - 1153474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/525 + s**6\/100 - s**4\/15 - 723*s**2. Factor x(r).\nAnswer: 2*r*(r - 1)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4493.5146 minutes to days.\nAnswer: 3.12049625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-7) - (-44)\/(-28). What is the remainder when s\/(-9) - (-3296)\/72 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -570272*a + 4212878.\nAnswer: -570272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, 240, 37?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1789, -1799, -1809, -1819?\n\"Answer: -10*c - 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190*p + 171*p - 323*p)*(-1 - 2*p + 1).\nAnswer: -76*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -76, -99, -140, -205, -300, -431, -604?\nAnswer: -825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -534289, -534274, -534255, -534238, -534229, -534234?\n\"Answer: -v**3 + 8*v**2 - 2*v - 534294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s - 452 = 40*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*z**4 + 149 - 149)*((2 + 2 - 3)*(1 - 1 + 2*z) + z - 4*z + 2*z + 2 - z - 3 + 3*z).\nAnswer: -174*z**5 + 58*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -2424 (c) 1\/5 (d) -9 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a decade?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6836387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*p - 365 - 175 = 77*p. Solve -p*z = 78*z - 588 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (2 - (5 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-7)\/d*d))\/d*d*d*d**(3\/5)*(d**(-4\/7)\/d)\/(d*d**(-9)\/d))\/((d**(-7\/6)\/d)\/d**(2\/3))**(3\/23) assuming d is positive.\nAnswer: d**(28011\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421\/4 - 1\/4.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -7249, 1, 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 1, 3*d = 175*x - 172*x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*d = -4*d - 7, -5*x - 19*d = 59*d - 68 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85496?\nAnswer: 2, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = g + 35, j - 175 = 5*g - j. What is the units digit of 15\/g - (-412)\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360*14\nAnswer: -5040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxjxgngx. What is prob of picking 1 g, 1 n, 1 j, and 1 x?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 134322?\nAnswer: 134330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(162) + 1)*-1*-3)**2.\nAnswer: 162*sqrt(2) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-27)\/(n*n**20\/n)*((n*n\/(n\/n**(-4)))\/n)**35 assuming n is positive.\nAnswer: n**(-187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + 5) - (-6 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -430330*z - 860651. Give p(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 57 = 5*i. Determine n so that i*n**2 - 2*n - 5*n**2 - 2*n**2 + 6*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 274*f**3 - 161*f**3 + 234*f**3 + (-3*f**2 + 4*f**2 + f**2)*(3*f + 4*f - 9*f) - 2*f**2 + 2*f**2 + f**3.\nAnswer: 344*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*(-4)\/(-8))\/((-6)\/(-28)). Suppose -f*m + 36 = -5*m. Solve m*q - 3 = -19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6323859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -358 + 363. Let r(w) be the third derivative of -1\/12*w**k - 3*w**2 + 0*w + 0*w**3 + 0 + 1\/24*w**4. Find the second derivative of r(y) wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -13*w**5\/60 + w**4\/6 + 4*w**3\/3 + 103*w**2. Let i be s(-3). Which is smaller: -123 or i?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 12*b + 7. Let q(w) = 29*w + 133. Let v be q(-5). Let m be l(v). Solve m + 3 = 10*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 598193206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*y - 8 = 0, -56*b = -63*b - 4*y + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/8*-8 + 63300013. Suppose -3*h - 3*r = -d, -2*h = -h - 2*r - 21099994. What is h rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a + 11*a + 8. Let s = 4 - -10. Let x = s - 12. Solve -3*u = -a*u + 5*t + 25, -4*t - 20 = -x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16549543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 13410*z**3 + 2 - z**2 + 13378*z**3.\nAnswer: -32*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.17 and -11857.3.\nAnswer: -11857.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -1051\/80?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*p - 0*p - u, 3*p + 4*u - 12 = 0. Suppose p = -6*i + 54 + 6. Let j = i - 9. Solve 0 = 4*t + 2*z - 8, -4*t = z + j - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.2 + -13. Let p(o) = -o**2 - 11*o + 1. Let g be p(-11). Let x = 9 - 5. Which is the nearest to g? (a) x (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*k = -243*k + 30. Calculate the smallest common multiple of k and 72\/7 - (-2)\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 21 + 24 + (3 + 4 - 6)*(-10 - 17 + 126))*(0*z**2 + 2*z**2 + 2 + z + 0*z) as f*z + u*z**2 + i and give i.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -39*(0 + (-114)\/18). Let p = z - 117. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 31. Suppose -2*c - 414 = 4*c. Let k = c + 57. Let o be b(k). Solve -24 = q + 5*d, -5*d = -o*q - 0*d + 30 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 308 - -323. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 9*o**2 - 7*o - 11. Let x be l(-7). Let h = -35 + x. List the prime factors of h.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0 - 1\/9*p**3 + 0*p**2 + 1\/30*p**5 + 0*p**4 - 4*p. Solve h(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*y - 230 - y**2 + 57*y - 6*y**2 + y**2 + y**2 + 0*y - 2*y**2 + 0*y + (2 + 1 - 1)*(2*y**2 - 1 + 1) - y**2 + 2*y**2 + 0*y**2.\nAnswer: -2*y**2 - 230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/14 and -61\/6239162.\nAnswer: 43674134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 4:09 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.3744 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2350727*k*l**5 + 374*k*l**2 + 4*k*l - l**4 - 2*l**2 + 578 wrt l.\nAnswer: 141043620*k*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*l - 72. Suppose -880 = -l*c - 8*c. What is the highest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) + 12*(-4)\/(-8). Suppose a - 9 = -n. Determine v, given that -1\/2*v**2 + n + v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) 2\/15 (c) 3 (d) -102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**2\/2 + a + 687. Let t(b) = 2*b**2 + 106. Determine d(t(k)).\nAnswer: 2*k**2 + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.101 (b) -550 (c) -0.4 (d) -5 (e) -0.3 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (870\/2320)\/((-12)\/448)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**3\/3 - 2*a - 22. Let h(w) = -w**2 - 2*w + 5. Let j be h(-3). Let y(x) = -3. Calculate j*y(m) - 3*g(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 104*u - 1327. Determine p(-63).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66119.4 seconds to milliseconds.\nAnswer: 66119400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaigjaayaavi. Give prob of picking 1 a and 3 i.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/5 (b) -4 (c) 14112 (d) -27 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 4 - -2) + (-59 - 70)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 9:19 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -48. Calculate the greatest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, d: 3, n: 6, m: 5}. Give prob of sequence dld.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.179 - 0.3140025229\nAnswer: -0.4930025229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 999\/377 or -20\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-3) - 0)*4. Suppose m*f = -c - 5, -c + 0*f = 5*f + 4. Let k(v) = -v - 1. Does 6 divide k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 13*x + 31. Calculate j(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0 (c) 5 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*m**2 - 5 - 5 - 22*m**2 + 35*m**2 to the form f*m + l*m**2 + y and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/3*-10)\/(-2*1). Let d(t) = 20*t - 8. Let y(a) = 0 - 3 - 3*a + 10*a. Give x*d(b) + 14*y(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162 + 48. Which is greater: -117 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*r - 1033, -b = r + 23 - 283. Let u = b - 195. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 1. Let a be i(-3). Let w(c) = -c**2 + 2*c + 8. Let h be w(a). Let d = 126 + h. Calculate the greatest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 39*t**2 - t - 2. What is the remainder when 151 is divided by g(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o\/(o\/(o\/o**(2\/31)))))\/(o*o**11\/o) assuming o is positive.\nAnswer: o**(-339\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**3 + h**3 - 3*h**3 - 3*h**3 + 5*h**3 + 0*h**3 - 2*h**3 - 7*h**3 + 3*h**3 + (5*h - 3*h - 4*h)*(-4 - h**2 + 4) + 2*h**3 + 4*h**3 - 5*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - 1 - (-10 + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15397900\/2700 + (-2)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h - 2. Let p be m(-1). Let z(g) = -2*g + 6. Let i be z(p). Factor -1\/4*t**5 - 1\/4*t**4 + 1\/4*t**3 + i*t + 1\/4*t**2 + 0.\nAnswer: -t**2*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5 - 3 + l**3 - 3 + 3*l**3. Let y be i(-1). Let w be 1 - ((-2 - -1) + 0). Which is the second biggest value? (a) -3 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (16\/136 - (-337260)\/2482).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 - 1 + 1 as a + h*v + f*v**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (4 - (19 + -5 + 4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539 greater than or equal to 624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234*d**2 - 96 with respect to d.\nAnswer: -468*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 686 + -1395. Let t = k - -708. Let r = 6.03 + -0.03. Which is the nearest to r? (a) -4 (b) -2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4 + (-2609)\/16. Let c = t - -161. Let q = 77427\/20 + -3873. Find the common denominator of q and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 - 3*h + 17. Let d be q(3). Is -5 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1439 + -1501.7. Let q = -58 - l. Let z = 5 - q. Which is the nearest to -2? (a) -3\/2 (b) -1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1, -28, -419, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 46 - (-140 + 153).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**3 - 3*h**2 + 2*h + 7. Let u(d) = d**3 - d**2 + d + 1. Let o(c) = q(c) - 3*u(c). Suppose 0 = 8*a + 8 - 8. Determine o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 0 (c) 2\/3 (d) -0.5 (e) -72 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 - 27*s**2 - 5*s - 6. Let z be j(7). Solve 0 = 4*h - 3*t + 12, 3*t + z = 2*h + 5*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 38*n - 9*n + 11*n + 7*n.\nAnswer: -35*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 749, 0.2, 2 in descending order.\nAnswer: 749, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2217012*s. Let f(z) = -2*z**2. What is f(g(j))?\nAnswer: -9830284416288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/((-2)\/4)*-6*37\/(-740).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*r*(r*r*r**(-2\/7)*r*r*r)\/r)\/r)\/r)**(7\/10)\/((r*r**(1\/2))\/r*r**(3\/8)) assuming r is positive.\nAnswer: r**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1364\/(-88) - -16)*-13?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18645 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 2, -6, 52, 5, -8, 0 in descending order.\nAnswer: 72, 52, 5, 2, 0, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7528 in 0, -5, -1\/1511?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1648, -3291, -4934?\nAnswer: -6577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221 + 513. Let q = 755 - y. List the prime factors of q.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n - 214*n**2 + 215*n**2 - n**4 - n**3 + 0*n**4 + (0*n - 5*n + 4*n)*(10*n**3 - 27*n**3 + 28*n**3) as b*n**3 + r*n**2 + x + g*n + h*n**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6440034ng to milligrams.\nAnswer: 0.0000006440034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6076423, 24305665, 54687735, 97222633, 151910359?\n\"Answer: 6076414*u**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - 554 - 166 = 38*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + 111. Let l = -3241 + s. What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 5:15 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(468) + 2)**2.\nAnswer: 60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 8:52 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 6*w**2 + 2*w + 307. Calculate j(0).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 325732367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-6) + -4)*4*-3. Solve p*h = 7*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-20)*(-50)\/630*-7.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 31 = -r, -4*r - r - 5*o = -5. Let f be ((-4)\/r)\/(1\/(6\/(-4))). Solve q + 1 = -f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-18) - -3)*-1*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/6 - 51\/(-18). Suppose 0 = 5*r - 4*r - 2. Which is the second biggest value? (a) m (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1052\/9, 2\/3, 20993 in increasing order.\nAnswer: -1052\/9, 2\/3, 20993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*o + 4*o - 5*s, o + s + 9 = 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 716204688 and 1272.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - x = 41, 2*p = -3*x + 17. Suppose -p*q = -25*q + 106935. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3966, -3958, -3950, -3942?\nAnswer: -3934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n - 3. Let l(s) = -s**2 + 34*s + 125. Determine l(x(m)).\nAnswer: -100*m**2 - 400*m + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15898?\nAnswer: 2, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11133 - 32?\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224682723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + u = 21, -2*u + 1 = -y + 4. Solve 0 = a - y + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000662334353 to 7 decimal places.\nAnswer: 0.0000662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59822944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 342*n - 17115. Calculate j(50).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1003 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 6*y**2 - 6*y + 13. Let c be s(-7). Suppose 66 = 4*n + 3*z, -8 = 3*n - 4*z - 45. Suppose -k + c*k = n. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 4*n - 2. Suppose 4*h + 40 = 3*l, -159*h + 161*h + 2*l + 6 = 0. Give j(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(700)*1 - (sqrt(28) + sqrt(252) + 1 + sqrt(252) + sqrt(28))*-3))**2*-3*2.\nAnswer: -33144 - 2016*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 11:21 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 0.0224, -2834?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3\/7 + 13956*t**2\/7 - 83612*t\/7 + 69660\/7 = 0.\nAnswer: 1, 5, 3483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p - 2. Let d(k) = 3*k. Determine -2*d(u) + 2*f(u).\nAnswer: -22*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/(50\/120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 6*j + 52 = 0. Suppose -c + 12*s - 11*s = -2, j*s = 4. Solve -c*p - 5 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -3 - 4 - -55. Let s = o - 53. List the prime factors of (s - (-717)\/6) + (-2)\/4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvfyfxvvyvf. Give prob of picking 2 y and 1 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 341, 322, 321, 338?\n\"Answer: 9*p**2 - 46*p + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006487 to four dps.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*3 + sqrt(22)\/sqrt(32).\nAnswer: 37*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-355)\/150*-5)\/((1\/(-7))\/((-36)\/(-42)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010728785 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 60, 81, 104, 129, 156, 185?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 10) in base 13?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165228911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 69. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q**(1\/4)*q))*q*((q**(-17)*q*q)\/q)\/q*q assuming q is positive.\nAnswer: q**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -44 and -133\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 - 9)*(93*p - 77*p + 32*p) as i + j*p and give j.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + -1)*8\/12. Let k be ((-57)\/(-38))\/((-3)\/o). Solve 2*q = -p + 2, -k*p - 4*q + 4 = -3*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70519.\nAnswer: 97, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139277561 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464, -1783, -3952, -6971?\nAnswer: -10840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ab971 (base 13) to base 10.\nAnswer: -1425269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 820 and 280030.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 - -0.6. Suppose p = 0, -5*q - 20 = -7*p + 3*p. Let h = 1\/207 - 629\/1656. Which is the nearest to 1\/4? (a) f (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 = -278*c - 7186 - 3138 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -2*r + 4*r. Suppose -r + 10 = 4*u. Which is smaller: u or -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1856 + 1855.9. What is the second biggest value in y, -1955, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17874112?\nAnswer: 2, 181, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 - 9 = 0. Suppose -w*v = v + 8. Let q(g) = 4*g + 3 - 142*g**2 - 145*g**2 - g + 288*g**2. Determine q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 4*v**3 + 14*v + 12. Differentiate d(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**3 + h**2 + 6*h - 14. Let j(s) = -2*s**3 + 2*s - 5. Let k(l) = 8*j(l) - 3*v(l). Let i be k(-3). Solve 0 = -5*b - 2 - i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/5 - 229*l**2\/5 - 154*l\/5 = 0. What is l?\nAnswer: -2\/3, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**4 + 12*y**3 + 8*y**2 - 22*y. Let v(r) = r**3 + r**2 - r. Let n(g) = -t(g) + 8*v(g). What is the second derivative of n(l) wrt l?\nAnswer: 24*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 7*t**2 - 10*t + 6. Let u be w(9). Suppose -5*g + u = 3. Suppose 0*f + 5*f = -2*m - 42500010, -g = 3*m. Round f to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -20?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Find the second derivative of 5*n**j - 5*n**2 - 3*n + 0*n**2 + 2*n**3 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + k - 1234 + 1213 = 0, 10662 = j + 711*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srssssssrs. What is prob of picking 1 r and 3 s?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.44 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4928.1999970171 + -4928.2. Round g to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272 = -8*q + 4*q + t, -4*t + 636 = 2*q. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 17*f**2\/2 + 115*f\/4 - 75\/2.\nAnswer: (f - 1)*(f + 5)*(f + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106 and 359270?\nAnswer: 19041310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 8508*l + 34080.\nAnswer: -3*(l - 4)*(l + 2840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((-4)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21228)\/116754 - 387*(-1)\/(-11)*-1.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27308.46 rounded to the nearest 100?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 53*a + 105209 - 271115. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20229 + 20229 + 79*v**2 as s*v + c*v**2 + z and give c.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + 1*-1*sqrt(114))\/(1*sqrt(150)) + sqrt(38)\/(sqrt(12)\/sqrt(6)) + -5 + (-4*sqrt(19))**2.\nAnswer: 6*sqrt(19)\/5 + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46526 and 4042.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/5 + 1229415*p - 67619640.\nAnswer: 3*(p - 55)*(p + 2049080)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -6 - (8 + 0) - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27689 or 32659?\nAnswer: 32659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5. Let o(c) = -3*c + 13. Let r(t) = -4*t + 20. Let j(p) = -7*o(p) + 5*r(p). Give 5*f(l) - 3*j(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 1 - -2 - -3. Let o = 12.065 + -12. Let p = o - 0.165. Which is the nearest to g? (a) -0.5 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -101. Solve -3*u - 5*d = -0*u + o, -5*u - 10 = -2*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.816309 plus -0.792?\nAnswer: 0.024309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 65943890 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 7, 17, 29, 43, 59?\n\"Answer: f**2 + 5*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*(4 - 210\/15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -221255160, -442510315, -663765470, -885020625, -1106275780?\n\"Answer: -221255155*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84825*x**5 + 211*x**3 - 2862*x**2 + 4340*x + 1 wrt x?\nAnswer: -5089500*x**2 + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 > 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-0.391044.\nAnswer: -0.391044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4 = -4*q - 0, q - 22 = 5*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262754187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 12. Let t be q(4). Suppose 0 = -2*a + r, 0*a - a - 5*r = 11. Let p be (t\/12)\/(a\/3). Solve -p*g + 0*g = -2*m - 10, -g - 4*m - 15 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.5. Let i = 0.5 - u. Let c = 2.7 + -3. What is the biggest value in -2, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 618156 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -978500 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 - 45 + 30)*(3*u**4 - 5*u**4 + 3*u**4).\nAnswer: -74*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -26*h**3 - h**2 + 36*h - 27. Calculate x(3).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**27\/j)\/j)\/j)\/j)\/j)\/j**18*(j*j*j**(-16))**(-1\/14) assuming j is positive.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47382 and 636?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 8*z + 2. Suppose 2*i = 3*i - 2*t + 2, -3*i + 29 = t. Let f be h(i). Solve -5*o - 3 = f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.99 + 10. Let f = s + -1.01. Which is the nearest to 1? (a) -0.1 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 15*f + 145. Let r(j) = -2*j + 37. Let a be r(10). List the prime factors of n(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*k + 3*p - 4, -k = -4*p + 19. What is the fourth biggest value in 5, -0.4, 3, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 187379.\nAnswer: 6\/187379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = 0, r - 603*g - 3 = -602*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, 0.4, 25063, -2\/21, -11?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23 + -20 + -1 + 17. Suppose 0 = 3*z + 7 - b, 2*z + 32 = 5*v. Let q be (-78)\/v*2\/(-9). Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*g = -2*r + 174*g - 2, 3*r + 5*g + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = -23409*v + 23396*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3 + 15362*c**2 - c - 15362 = 0 for c.\nAnswer: -15362, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-176)\/40)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 - 10*h - 5. Let n be a(5). Suppose 7*i + 51 = 8*i. Suppose 0 = w - i + 1. What is the greatest common divisor of n and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:43 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*o = 2 + 6, 3*k + 2*o - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100287264 divided by -6?\nAnswer: -16714544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**2 - 2 + 1 + 1.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2326204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2227531 (base 8) to base 6\nAnswer: -20522441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -769 + 767.172. Let y = g - 0.172. Sort 4, -6, y, 2\/11.\nAnswer: -6, y, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/22 - 356\/(-22). Suppose 4*g - b = 0, -2*n + 2*g - 2 = n. Let s(a) = a - 6*a + n*a - 6*a. Calculate s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l = -48*l - 54 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22936057 + 22936057 - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 193, 450, 831, 1348, 2013?\nAnswer: 2838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 9. Let k be b(-5). Is 30 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21157 and -0.04788.\nAnswer: 1012.99716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5945 and 435?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 940, 1881, 2822?\nAnswer: 3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258460292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:47 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 0. Suppose 2*x + x = b. Find the second derivative of x*n - 4*n**3 + 2*n**3 + n**3 + n wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2*j**3\/3 + j**2 - 2*j + 7. Let s(t) be the first derivative of o(t). Differentiate s(g) with respect to g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**8\/168 + 4*s**7\/315 + s**6\/180 - s**5\/45 - 5*s**2 - 46. Let g(c) be the second derivative of w(c). Factor g(v).\nAnswer: -2*v**2*(v - 1)**2*(3*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -0.8, 3 in ascending order.\nAnswer: -11, -0.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -41. Let q(w) be the third derivative of 0 + 0*w + 1\/165*w**6 + 0*w**3 - 1\/1155*w**o - 4*w**2 - 2\/165*w**5 + 0*w**4. Find k such that q(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1724120396 and 0.239?\nAnswer: 1724120395.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -11. Let u = -25 - -21. Sort u, 3, s in descending order.\nAnswer: s, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 20 + 0 - 3*x + x + 5. What is the tens digit of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101256 times 16.1?\nAnswer: 1630221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -13*a**4\/4 - 14*a**2 + 24*a. Differentiate o(l) wrt l.\nAnswer: -78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9703 + -9700. Which is the biggest value? (a) 1 (b) -2 (c) t (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 53612132.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q**2 - 336*q - 6294. Determine h(-18).\nAnswer: 2994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 78*h**3 + 12*h**2 + h + 32. Let f be p(15). Let w be -1 + f + (-3 - -8) + -1. Round w to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + l - 11, -3*f - 20 = -2*l + 13. Is (2392\/(-24) + f)*3\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q**2 - 174*q**3 + 93*q**3 + q + 86*q**3 to the form r*q + f + g*q**2 + m*q**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-100)\/176 - -1*12\/48.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73840215 is divided by 1015?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*f - 21 = 0, -4 = 3*h - 2*h - f. Find the second derivative of 2*l + 1 + 4*l + l**3 - h wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let s(i) = i. Let k(o) = -h(o) - s(o). Let w be k(-2). What is the units digit of 4\/10 + 13\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 23300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xoloxllllloxlllnxl. Give prob of picking 1 o and 3 l.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + (29 - -29 - (4 + -15 + 17))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o - 47. Let z be m(-5). Solve 4*u - 6*u = -2*d + 2, z*d = -u + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.99133ml to litres.\nAnswer: 0.04499133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178071 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.10155?\nAnswer: -0.050775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 294139, 294140, 294141, 294142, 294143, 294144?\n\"Answer: o + 294138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -10. Let x be 0 + t\/3*-1. Factor 0*s**2 + x*s - 2\/3*s**3 + 0.\nAnswer: -2*s*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 19474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 6*j + 6. Let c be l(-6). Let s be 3*(-3 + 5) - 3. Let m(v) = -s - v**2 + 0*v**2 + 1 + 7*v. Calculate m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 359284107?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -188?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 8*f**2 + 2 - 6 - 3*f**3 - 8*f. Let s be x(-7). List the prime factors of s\/9 - (-71)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 4*f**2 + 5*f + 6. Let z be s(5). Let g(q) = -3*q + z*q - 5*q. Let t(v) = -v. Determine t(g(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 13) to base 8.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Suppose 0 = -5*q + 2*y + 12, 3*q - 4*y - 12 = -q. Let p(s) = -2*s - 2*s + q*s. Give p(z(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 418996 and 310.\nAnswer: 2094980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 - 3*a - 4. Let b be s(-3). Suppose -5*r = -8*r - 2*z + 5, -2*r - 3*z = 0. Let o = r + b. Put -5, 2, o in ascending order.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*q - 19 - 25, 0 = 3*m - q - 32. Suppose -s + y - m = -5*s, 5*y - 28 = -4*s. Solve 0 - 8\/5*a**3 + 24\/5*a**4 + 0*a + 0*a**s - 18\/5*a**5 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22830 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32162 divided by 22?\nAnswer: 16081\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -25. Suppose 2 = -q, 0 = 26*f - a*f + 2*q + 5974. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + 1 - (13 + (9 - (-5 + 14)) + -14)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -289386, -1157435, -2604154, -4629543, -7233602, -10416331?\n\"Answer: -289335*l**2 - 44*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 5:45 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/(-3 - 42\/(-15)). Let c(d) be the second derivative of 0 - 1\/3*d**3 + 0*d**m - 4*d. Let a(z) = -4*z. Calculate c(a(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12301 - 0?\nAnswer: 12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1277924260*-3\nAnswer: -3833772780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26055114.\nAnswer: 2, 3, 131, 33149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-42)*28\/(-24)*123. What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 275*u**2 + 125*u + 1705. Calculate a(137).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v + 50. Calculate the remainder when 26 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 6*u + 7. Let h = -10 - -5. Calculate the remainder when 5 is divided by n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -207 - -42e3?\nAnswer: 40dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = 5*h. Suppose -5*l + 16 = 4*b, h*b = -3*l + 7 + 13. Let i = l + 6. Solve 0 = -p + 6*p + 2*g + i, -3 = -4*p + g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4 - 1162*y**3 + 117360*y**2 - 882848*y + 1728256 = 0.\nAnswer: -1256, 4, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.304 + 0.547. What is d rounded to two dps?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = g - 17, 0 = 14*z - 19*z + 5*g + 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)\/v)**(17\/2)\/(v**(-3)*v*v\/(v\/(v*v\/(v**(2\/11)*v)*v)))*(v**(-1)\/v*v*(v**(-2)\/v)\/v*v)**(-1\/31) assuming v is positive.\nAnswer: v**(-16331\/3410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.2 + 73.6. Round o to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6868415.\nAnswer: 5, 1373683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t + 1. Let m(y) = 21*y - 6. Let d(b) = -4*b + 3. Let g be d(-2). Calculate g*i(n) + 2*m(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(156)*1)\/sqrt(3).\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5) - (-8)\/20. Let i be (-3)\/b*(-2)\/3. Suppose g + 3*p + 6 = -2*g, -4*p = 20. Solve -2*n = -5*l - 5, -5*n + i*l - 1 = -g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 7*m + 13. What is the remainder when a(-12) is divided by 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7601445 minutes in hours?\nAnswer: 0.012669075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1585 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 94 = -6*k. Let a = -3 - -2. Let s = a - k. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -588804092*h**2 - 413043386*h.\nAnswer: -1177608184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 - r**3 - 4*r**2 + (-3 - 1 + 2)*(-3*r**3 + 4*r**3 + 0*r**3) + (r - 12*r + r)*(-r**2 - 3*r + 3*r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f + 3*f - 107*f**2 + 110*f**2 + 2 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 342\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let u be p(0). Suppose 2*v + d - 20 = 5*d, u = -4*v + 3*d + 15. Suppose -2*o + 447 = 5*j, v*o - o - 3*j = -222. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -1 - (12 - 4 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/180 and -76\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1540 (base 7) to base 14\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111103 (base 4) to base 6.\nAnswer: 5422523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 12*a + 43. Let r be m(-5). Suppose 0 = r*w - 11*w + 1221. What are the prime factors of w?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46961 and 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = 5*n - 111, 5*f - 5*n = 190. Suppose -12*i + 2*i = -750. What is the remainder when i is divided by f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:15 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 + -2 - 5). Suppose -5 = -5*q + 5*k, q + d*k = 2*q - 5. Let w = 3 + q. Solve r + 2 = -w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 12:53 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 476701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5.7830577 hours?\nAnswer: 0.0344229625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 20596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004793 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64134.49 litres to millilitres.\nAnswer: 64134490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 3, p: 2}. Give prob of sequence eep.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 4. Let x(o) = 810 - 415 - 396. Determine 3*t(u) + 21*x(u).\nAnswer: -3*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 137122950 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 - 21 = -70*t + 77*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 - x**2. Suppose 0 = 5*s - 0 - 10. Let l(a) = a. Let g(k) = 4*k. Let v(c) = s*l(c) - g(c). Determine m(v(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354914.\nAnswer: 2, 7, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 8*u - 10*u + 2, 0 = -3*m + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 2, 5, -11.\nAnswer: -124, -11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.503325g?\nAnswer: 5503325000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3622\/2397 + 1456\/799. Solve -2\/9*t**3 - 2*t**2 - c*t + 50\/9 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 33*z**3 - 6*z**2 - 6*z + 1. Let q(m) = -66*m**3 + 11*m**2 + 11*m - 2. What is -6*q(y) - 11*r(y)?\nAnswer: 33*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.4, -2\/5, 1382 in increasing order.\nAnswer: -2\/5, 0.1, 0.4, 1382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -23*c + 63. Let h = -0.22 - 0.08. Put c, -9, h in ascending order.\nAnswer: -9, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 10*a**2 + 10*a + 6. What are the prime factors of u(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*y - 3*q, -y - 5*q = -8*q - 12. Which is greater: y or 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522745499 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**34*i)\/i**13)\/(((i*i*i\/i**(-19\/2))\/i*i)\/i**(-2\/27)) assuming i is positive.\nAnswer: i**(563\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a = 0. Suppose a = -2*j - 2*j - 12. Is 47\/((-1)\/j*3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**12)**(-4)\/((s\/(s*s**24))\/(s**(-11\/5)*s)) assuming s is positive.\nAnswer: s**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2302*o + 1140*o + 1386 = -1228*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3978732 divided by -994683.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 29, -0.09, 11, 0.4, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 84. Let s(n) = 4*n. What is s(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z - 5, 3*j = -3*z. Suppose 0 = -2*l + j*l - 27. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 + 118.8. What is the third biggest value in -0.5, 5\/8, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -196. Let y = -6 - j. List the prime factors of y.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(1\/3))*(x**(-13)*x)\/x)\/(x**(-14)\/x**(-19)) assuming x is positive.\nAnswer: x**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -196\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r + 10. Let u(p) = p**2 - 5*p + 3. Let z be u(4). Which is the second biggest value? (a) r (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 762*u + 48387.\nAnswer: 3*(u + 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*w - 38, w + l = 3*l - 13 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -186 + 60?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -0.157, -0.6, -2, -8\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031768 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/160340 and 143\/60.\nAnswer: 481020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 967.40373 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from emmeeemmmm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1 - -2*2. Let k(w) = -8*w**2 - 4*w**v - w**3 - 8 + 5*w**2 - 8*w. Let l be k(-6). Solve -2*t + 3*a + 1 = -3*t, 2*t = -l*a + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 32. Let z be (-1)\/(2 - 9\/5). Let h = z - -44. Calculate the remainder when h is divided by p(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 17*l**3 + 4197*l**2 - 308*l + 45931. Calculate o(-247).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262599 is divided by 1339?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -186831.9?\nAnswer: -373663.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 14*f + 8. Let k be i(-13). What is the remainder when ((-3)\/k)\/(9\/1035) is divided by (-6)\/(-15) + (-176)\/(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -1 + 1 - (-91805 - -91829)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 66 - 59 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -828 divided by 4?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/9)\/(256\/384).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -463*t**9\/252 + 26*t**5\/3 + 3684*t**2. What is the third derivative of n(l) wrt l?\nAnswer: -111120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*c = 5, -30 = -9*a + 8*a + 5*c. Solve 3 + a = 2*v - 4*b, 2 = -2*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 + 44*u + 16. Let s be b(-7). Solve -35*c = -33*c + s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.480685173 rounded to four dps?\nAnswer: 1.4807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 110001101 (base 2) to base 4\nAnswer: 12031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3020 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*m = 17, a + 30*m - 31*m = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 - 241. Sort -3, x, -0.4, -17 in descending order.\nAnswer: x, -0.4, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1208 times 0.11\nAnswer: -132.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/39 - (-8)\/260*-31?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1322580 and 0.1?\nAnswer: 1322579.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 1. Let q(m) = -4*m - 2. Suppose 42*t + 532 = 56*t. Let j = t - 33. What is j*q(u) - 10*d(u)?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 823\/45 - 170\/9. What is the second biggest value in h, 3, -15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, f: 2, h: 8}. Give prob of picking 1 f, 1 h, and 1 k.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56568370, 56568373, 56568376, 56568379?\nAnswer: 56568382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 bigger than -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(-1020) - (-6)\/8.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 at least as big as -9.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i = 2*i - 36. Let o(q) = q**3 + 5*q**2 - 6*q - 8. Let k be o(-6). Let s = k + 12. Calculate the highest common divisor of s and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105264.2304us in weeks?\nAnswer: 0.000000174048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 5*t - 12. Let a be m(-9). Let n = 70 + a. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 11, h: 2}. Give prob of sequence afh.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-225)\/60)*(-28)\/35?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 442 or 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4580*o**2 + 4580*o**2 - 1105*o**3 - 492*o**3.\nAnswer: -1597*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -174 - 103 - 54*o**2 + 338 wrt o?\nAnswer: -108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 211681889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isqtqqixstsiet. Give prob of sequence iix.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0592323107 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o**2 - 10*o**2 - 5*o**2 - 16*o to w*o**2 + j*o + u and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**5\/30 + u**4\/9 - 8*u**3\/9 + 154*u. Let r(y) = 0. Calculate y.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 2*m. Let n be a(-3). Suppose -3*v = -0*u - u + 2, n*v + 22 = 5*u. Let q = 23 - v. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {i: 7, a: 1, l: 2, u: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 6. Let x be h(-9). Let f be 2\/4 + x\/8. What is the third derivative of -w**5 - 7*w**f - 7*w**2 + 15*w**2 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3692, 3693, 3704, 3731, 3780, 3857, 3968, 4119?\nAnswer: 4316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 15) to base 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 4184, 2 in ascending order.\nAnswer: 0, 1, 2, 4184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122555 and 21.\nAnswer: 2573655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5806176 and -13\/2976?\nAnswer: 5806176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1324373 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, e: 1, r: 2}. What is prob of picking 4 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12149 is divided by 217.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 4) to base 2\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.67118711 + 20\nAnswer: 23.67118711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*s + 5*x - 5, x = 2*s - 4. Suppose 2*g - 7 = s*g. Calculate the remainder when 118 is divided by (g + 6\/3)*-6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/u**8*(u**2)**2)**(-23) assuming u is positive.\nAnswer: u**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/151, 28, -1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 2*k**2 - 18*k + 199. What are the prime factors of a(8)?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*n = -31, 0 = -5*q + 4*n - 3 - 2. Let f(v) = -5 - 7 + v + 5 + q. Calculate f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858.1015 centuries in years?\nAnswer: 85810.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9 and 845.\nAnswer: 844.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448128 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1276.88 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 133789, 133795, 133791, 133771, 133729, 133659, 133555?\n\"Answer: -y**3 + y**2 + 10*y + 133779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2. Let d(h) be the first derivative of 3*h**3 - 56*h - 67. Let l(u) be the first derivative of d(u). Give a(l(o)).\nAnswer: 648*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199846*n**3 + 43128*n**2 - n?\nAnswer: 1199076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -27*h + 14. Let s(i) = -64*i + 27. Let r(m) = -7*g(m) + 3*s(m). What is r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8323 and 20944399.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 4, -0.4, 22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 1. Let v(o) = -o**3 + 4*o**2 + 4*o + 6. Let r be v(5). Let z be -28 + (-11)\/((-22)\/4). Let n be (-13)\/z*(r - -1). Calculate h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 10*n + 8. Let x be (8 - (-2 - -3))\/1. Is a(x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4991 - -11155. Suppose 5*t + 1744 - v = -5*d, 2*t = 3*d + 1793. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20c + -131?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.2. Let r = -1161 + 1166.13. Let t = 1.13 - r. What is the closest to -2\/5 in i, t, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -9, -11, -11?\n\"Answer: f**2 - 7*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6 + 1 + -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22203 (base 7) in base 13?\nAnswer: 270c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.37314038842 and -1.1.\nAnswer: -18.47314038842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1131*r - 242034. Calculate y(214).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + a)*(0 + 3 - 4) - 837*a + 3186*a + 1580*a + 5580*a in the form y*a + o and give y.\nAnswer: 9508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (-13 - -26) - -1 - -7) + -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3369 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 8:18 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276592?\nAnswer: 2, 23, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - f - 3. Let y(w) = 16*w**2 - 86*w + 141. Let z(j) = 3*j**2 - 17*j + 28. Let k(s) = -2*y(s) + 11*z(s). Let h be k(13). Determine i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -341 at least -333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-12)\/(-3))\/1. Let h(q) = q + 8. What are the prime factors of h(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z**3 + 7\/60*z**6 + 3\/2*z**2 - 1\/6*z**4 + 0*z + 1\/6*z**5 - 1. Let g(q) be the second derivative of k(q). Factor g(r).\nAnswer: 2*r*(r + 1)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01458354 to 5 dps.\nAnswer: 0.01458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 8696644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2117 divided by -2\nAnswer: 2117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 176 and 44852 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38618759 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/(-10) + -53)\/(-2*1). Suppose -5*b = -n + 733, 2*n + 25*b - 1460 = g*b. List the prime factors of n.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150771119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1271*m**4 - 945 wrt m?\nAnswer: 5084*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*i - 1 - 9, -2*x - 10 = 0. What is the second smallest value in -3, i, -5, -0.84?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 69 = 15. Calculate the remainder when 183 is divided by -2 + 7 - m\/(-3) - -31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2542248, 5084499, 7626750, 10169001, 12711252, 15253503?\n\"Answer: 2542251*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5bb4c5 (base 14) to base 13.\nAnswer: 860689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 13*f**2 + 3*f + 42. Suppose -3*p + 2*h + 30 = 0, 4*p - 6*p = -4*h - 12. Calculate the remainder when p is divided by x(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8424 and 15957.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1059 divided by 9.\nAnswer: -353\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 63*p - 1645. Calculate c(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 470694420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-21)*6\/(-8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 68.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 14*r**2 - 19)*(5*r**3 - 4*r**3 - 9*r**3) + 1 + 2*r**5 + 1 + 1 + 7*r**5 - 15*r**3 + 15*r**3 + 2*r**4.\nAnswer: -103*r**5 + 2*r**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 163 + 3*c**2 - 18*c**4 + 2*c - 2*c**3 - 85 - 4*c - 6*c**2 - 79 in the form m*c**2 + l*c + z*c**4 + r + p*c**3 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 4*k**4 - 8*k**2 - 7. Let g(y) = 3*y**3 - 3*y. Calculate -11*g(x) + 2*p(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/422, -0.1, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(3) - sqrt(38) - sqrt(38))*4)\/(sqrt(72)*1) - ((sqrt(190)\/sqrt(5)*-2)\/(sqrt(8)\/(-1*sqrt(4) - sqrt(4))))**2.\nAnswer: -304 - 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -624*a**3 + 5845*a + 1456. Differentiate v(y) wrt y.\nAnswer: -3744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -429, -469, -545, -669, -853, -1109, -1449?\nAnswer: -1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -1, 4, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*v - 20408 + 7335 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2049\/5*t - 252\/5*t**2 + 3\/5*t**3 - 360 = 0. Calculate t.\nAnswer: 1, 8, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 + 93.237. Round c to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 86. Let i be r\/(-10) + (0\/(-1))\/1. What is the second smallest value in 4, 0, -0.4, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(44))\/sqrt(4) + sqrt(11))*-3)**2 + 4 + -3 - (-3 + 0 + (sqrt(44) + 0 + -4)**2).\nAnswer: 43 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:02 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*6\/(-4). Let w be m\/(-3) - (-2)\/(-6). Let n be w\/(-2) + 1*15. Solve 0 = u + 4*u + n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 37 + 52 + 60 + 61*d**2.\nAnswer: 61*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 33*v - 133. Let j be o(-8). Let u = -0.9 - -1. What is the third biggest value in -5, j, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/30*2\/(-9)*-12. Let i(u) be the first derivative of 2*u**2 + 8\/3*u**3 - 4*u - 2*u**4 + 3 - d*u**5 + 2\/3*u**6. Suppose i(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4196 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millisecond in microseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3748.09246126 - -3698.092461. Let v = -50 - k. Round v to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5235)\/225 - -13)\/((-2)\/10 + 52\/60)?\nAnswer: -77\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8)*(-532)\/7. Calculate the highest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -279 in 96, 8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d + 15. Let f = 963 - 963. Suppose -2*j + d*j = f. Let a(t) = t**2 + t + 2. Determine a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4\/4 - 27*d**3\/2 - 3*d**2\/4 + 27*d\/2 = 0.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + -2*sqrt(350))*5 + sqrt(350) + sqrt(350))\/(sqrt(28)*5 - -1*sqrt(7)*-1).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21665, -21652, -21629, -21596, -21553, -21500, -21437?\nAnswer: -21364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6730? (a) -0.3 (b) -9 (c) 5 (d) -2 (e) 214\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.69 - 42. Let p = o - -3.31. Sort p, 2\/11, 27.\nAnswer: 2\/11, p, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 65?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/77 + 5\/77. Factor -1\/7*i**2 + l + 0*i.\nAnswer: -(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*q = -37, -4*n - 263 = -3*q - 279. Let c(t) = -t**3 + 8*t**2 - 6*t + 11. Give c(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.3 (c) -2 (d) 120 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 11) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30938 is divided by 1410.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*n**4 - n**5 - 16*n**4 - 2*n**5.\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 8. Let w be y(8). Suppose 0 = -3*m - 4*m + w. Suppose 0 = 12*h - m*h + 4. Let d(o) = -2*o - 1. Give d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 908 = -2*r, 7*r - 3*j = 9*r + 933. Let u be (r\/(-15) - 7)*5\/1. Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2769.97247 + 2770. Let b = p - 0.12749. Let j = -0.1 - b. What is j rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1587*j - 1581*j - 3 + 0)*(-40*j - 7 + 68*j - 40*j).\nAnswer: -72*j**2 - 6*j + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 3, 11 in ascending order.\nAnswer: -1, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103253 and -25936391.\nAnswer: -26039644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171935, -171925, -171909, -171887, -171859, -171825?\nAnswer: -171785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 + (-203354)\/(-3910))*(0 + -15).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Let x be 2*28\/7 - -14. Suppose 0 = -3*q + 2*w + x, -2*q - h = -4*w - 33. Solve -q*p + 15 = -3*m + 3, 0 = -3*m - 4*p - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650*-1.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 17. Let o(q) = q**3 + 4*q**2 - 6*q - 7. Let h be o(-5). Sort w, 2, h in decreasing order.\nAnswer: 2, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-458)\/(-10))\/(8\/40)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 1096*h**2 + 194682*h + 2594. Determine r(-873).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 680, 1323, 1966, 2609?\n\"Answer: 643*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, e: 5, l: 1}. Give prob of picking 2 i and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55049.\nAnswer: 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 + 0*t**2 + 6*t**2.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3760, 3730, 3700, 3670, 3640, 3610?\n\"Answer: -30*s + 3790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4728 (base 10) to base 3\nAnswer: 20111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -5, -7, -9?\n\"Answer: -2*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -8. Let f = x + 29. Let j = -5 + 11. Calculate the remainder when f is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f - 10. Calculate g(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1052\/5 - -3166\/15. Which is the closest to -1? (a) -2 (b) -2\/19 (c) -0.13 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 9. Let b be r(-5). Let o(i) be the first derivative of -i**4\/2 - 2*i**3\/3 + i**2 - i + 3. Determine o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**0*u)**(-15)*u**(1\/3)*u**(2\/35) assuming u is positive.\nAnswer: u**(-3109\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 194916891 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-17992)\/(-519)*(-18)\/39\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31620405 minus 0.4?\nAnswer: -0.71620405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*12\/36*1\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3070213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*k**2\/4 - 501*k\/4 - 42 = 0. What is k?\nAnswer: -1\/3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4 + 34*h**3 - 260*h**2 + 14*h + 3381 = 0 for h.\nAnswer: -3, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790854, 1581705, 2372556?\nAnswer: 3163407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 9:07 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -124, -26, 10, 0, -1 in descending order.\nAnswer: 10, 1, 0, -1, -26, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 33372 - 33372.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 29076689?\nAnswer: 23261351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = g - 4 + 2, 2*q = -2*g + 16. Let h = 0.16 + -0.26. Which is the smallest value? (a) h (b) -1 (c) 4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221569790 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, -306670, 1 in increasing order.\nAnswer: -306670, -11, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 199. Let s(t) = -3*t - 193. Calculate 5*s(z) + 4*y(z).\nAnswer: -3*z - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n**3 + 2 + 2 - 54*n**3 - 197*n**3 as x + q*n**2 + j*n + u*n**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)*j)\/(j\/j**(2\/17)))**(-18)\/((j\/(j**(-11)\/j*j))\/j**(2\/21))**3 assuming j is positive.\nAnswer: j**(-3074\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944\/311399 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 412\/3 + -137. Let l(z) be the second derivative of 0*z**3 + 0 - 4*z + 5\/2*z**2 + a*z**4. What is the first derivative of l(p) wrt p?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 22\/53?\nAnswer: 22\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 927 - 587. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644869410 to the nearest integer?\nAnswer: 25394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -419, -423, -427, -431?\n\"Answer: -4*n - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 95?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 29. Let h = -70 + l. Sort h, 2, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*x - 119 = -14405, -4*i + 14290 = -2*x. Suppose -2*k - 4*a - a + 3566 = 0, 2*a - i = -2*k. List the prime factors of k.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10175 - -11267. Is 51 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757091 is divided by 2411?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1467691 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 4. What are the prime factors of 4\/j + 116\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 4*r + 1\/12*r**4 + r**2 + 0 + 7\/6*r**3. Determine b(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -140000*j**3\/3 + j**2\/2 + 10*j + 2. Let n be x(-10). Round n to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167.5 + 168. Which is the nearest to -1? (a) -0.02 (b) -1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46918 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 4*l - 1. Suppose -5*j - 5*h - 25 = 0, 0 = 5*j - 5*h + 4*h + 13. Let w be n(j). Find the first derivative of g + w*g + 3 - g wrt g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224 + -219. Calculate the smallest common multiple of 25 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 36. Let w be (33\/i)\/(6\/20). Suppose -y = 3*s + 168031 + 371968, -180005 = s - w*y. Round s to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 42*o**4 - 49*o**3 - 45*o**2 + 87*o + 5. Let u(n) = -25*n**4 + 25*n**3 + 22*n**2 - 43*n - 3. Let l(w) = -3*p(w) - 5*u(w). Find h such that l(h) = 0.\nAnswer: -2, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 at most as big as -15.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 11*o + 32. Let m be d(-4). Let f be 2\/m*46\/161. Is f equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:54 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r - 7. Let c(s) = 3*s + 3. Calculate 7*c(p) + 3*u(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from jvjjdjkdvdjdvhv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/7)\/u*u**4*u**(1\/5)*u*(u\/(u*u\/u**6))\/u*(u\/(u*u*u**(-7)*u*u*u)*u*u\/(u**(2\/3)\/u))**33 assuming u is positive.\nAnswer: u**(6437\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 2\/(-8) - 19125\/(-340).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -18. What is the closest to 0 in -5\/4, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.029 and 3.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 519, 510, 501, 492, 483, 474?\n\"Answer: -9*m + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*((-12)\/10 - 0). Suppose 3*w - x - 123 = 0. Suppose 0 = -d - 4*n + 23, 0 = 8*d - 13*d - 2*n + 79. Calculate the remainder when w is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3145467 (base 8) in base 5?\nAnswer: -203312310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 16 - -6) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*h - 729*h + 1335*h + 1599 - 1599.\nAnswer: -174*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*6*14\/(-42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - f = -5*w + 14, 0 = 3*f - 6. Suppose 0 = 4*x - w*i + 40, -x - 5 = i + 3. Is x*(8\/6)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3 - 3)*(-3*y**4 - 2*y**4 + y**4) + (5*y**4 - 3*y**4 - 4*y**4)*(-5*y + 2*y + 2*y).\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*m - 7, -5*f - 3*m + 21 + 4 = 0. Suppose -j = f - 49. Let x = j - 27. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123572.\nAnswer: 2, 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2846304 and 0.074?\nAnswer: 210626.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207038*g**3 - 3*g + 147690*g**3 + 3*g.\nAnswer: 354728*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/4 + (-753)\/84 + 22 + 2 + -16.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/39*10\/40?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -127 (c) 13 (d) -3 (e) 2\/275\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3600) - sqrt(25) - (sqrt(625)*-2 + sqrt(625)))\/((2*sqrt(35) - sqrt(35))\/sqrt(7)*6))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -16 - 2 - x - x + 2. Let u be t(-9). Let d = 18 + -13. Solve 0 = -l + u*l - c + 8, -5 = 4*l + d*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -3 - (-3 - 0) - 1 - (-11138 + 11123).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6337 + -3238206\/511. Is s at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68*(-6)\/(-20))\/(3*(-22)\/495*-3)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, and 1 y when three letters picked without replacement from {f: 3, y: 4, x: 2, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 4, o: 2}. What is prob of picking 3 f?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 279817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j - 4. Suppose 0 = -6*w + 3*w - 6. Let h be s(w). Let g be 4\/(1 + 1) + -19. Is h >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**2\/i)\/i*i)\/(i\/(i*i\/(i*i\/(i*i\/(i**(2\/13)\/i))))))**(-1))**43 assuming i is positive.\nAnswer: i**(-2150\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271899960?\nAnswer: 2, 3, 5, 191, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) -215 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4607916mg to nanograms.\nAnswer: 460791.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + 1 + sqrt(325) + 4.\nAnswer: 5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 3*r**5\/5 - 3*r**4\/2 - 3*r**3 + 6*r**2 + 12*r - 33. Let o(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 14*q**2 - 1390*q + 1391. What is r(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9011 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.071 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 20212012220?\nAnswer: -20212012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -10*r - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002963 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4114 and 7130?\nAnswer: 14666410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:09 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -792*d**4 - 839*d**4 + 108*d**4 + 301*d + 203*d**4 - 3*d**2 wrt d?\nAnswer: -31680*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2633*f**5 - f**2 - 4*f + 7.\nAnswer: -157980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30107 + -30107.0000023037. What is l rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*a - 12 - 4, 0 = -4*k + a + 17. Suppose 62 - 8 = k*z. Let o(g) = -15*g + 8. Calculate the remainder when o(-3) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**7\/42 - 77*w**6\/30 - 229*w**3\/3 + 3*w + 14. Find the second derivative of c(h) wrt h.\nAnswer: 20*h**3 - 924*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17894032*h - 22908061 with respect to h.\nAnswer: -17894032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Let v be 39\/39 - 1\/17*12. Let p = v + -185\/51. Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -d - 0*p, -9 = -d - 3*p. Suppose -2 - d = -2*a. Let y(n) = 3*n - a*n - n. Let v(t) = 4*t. Give y(v(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oodhdollydddd. Give prob of sequence od.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 11, 0.1, -11137, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.141223 decades?\nAnswer: 1.41223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -724003?\nAnswer: -724010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*v - 13712 - 53833 = 0, v = -2*j + 135041. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 3:11 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 53 = k. Let t(n) = -5*n - 10. Let f be t(k). Let s(h) = -h**3 + 6*h**2 - 5*h + 2. Let a be s(f). Sort a, 3, -7 in descending order.\nAnswer: 3, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 21 = -34. Let p = -6 - q. Suppose 5*r + 0*o - 58 = -3*o, p*o - 38 = -3*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10406741, -20813485, -31220229, -41626973, -52033717?\n\"Answer: -10406744*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 4060.\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/12 - q**3\/6 + 3*q**2\/2 - 6*q + 3. Calculate w(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1081*s - 4*s**3 + 29 - 10 + 1083*s - 3*s**2 to the form o*s**2 + q*s**3 + u*s + v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, e: 8, v: 1, g: 1}. What is prob of sequence wg?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 1. Let x be a(3). Suppose -4 = 3*n + s, 0 = 4*n + 4*s - 8 - 0. Sort x, 2, n.\nAnswer: x, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007799 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 606 and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 360511 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one sixteenth of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1825 + -4?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + 0.075. Let s = 4.635 - j. Let b = s + -4.667. Round b to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42177 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 16*j - 11. Calculate the remainder when 168 is divided by h(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 14 = 68*r - 65*r, -13*x = -4*r + 44 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9971140139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (149 - 5\/((-5)\/2))*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4104 + 103672*u**2 - 103672*u**2 + u**4 + 15*u**3 - 68*u wrt u.\nAnswer: 4*u**3 + 45*u**2 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6) - (-1)\/3. Let l be (-25)\/2100*-708 - 9. Let g = -15 - -10. What is the nearest to n in l, 2\/21, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9223542 = 75*x - 9603933. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:21 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -s + 2*z, -4*s + z - 11 = 2*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o = -57402 + 57773 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -26. Suppose -z + 4*d = 105, v = -4*z - 0*z - 2*d - 438. Let u = -95 - z. What is the greatest common divisor of 42 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82.6 + -82.6. Let r = 8.84 - 9. Put h, -3, r in decreasing order.\nAnswer: h, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27481*w**3 + 12*w**2*z + w*z + 190*w + 282*z - 2 wrt w?\nAnswer: -164886*w + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 + 195. Let q = 299 - d. Differentiate -q*m + 15*m**2 + 221*m + 17 wrt m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 221, 217, 211, 203, 193?\n\"Answer: -u**2 - u + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**2 + 5*z - 2. Calculate the lowest common multiple of 3 and l(4).\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q + 3320. Let x be 4\/10 - 9*(-8696)\/(-360). Let s = q + x. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/54 + 357\/27. Let w = p - -1. Suppose 3*n = b - w, 2*n - 4*n - 14 = -3*b. Sort b, 1, -1.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3726 (base 8) in base 12?\nAnswer: 11b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66.77 + -63.77. Let i = -17.5 - -15. Which is the closest to 1\/3? (a) l (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(2\/73))**(-5\/3)*((s\/((s**0\/s)\/s))\/(s*s**(-2)))\/((s*s**(-4\/9))\/(s\/(s*s\/(s*(s**(-1\/4)\/s)\/s)))) assuming s is positive.\nAnswer: s**(43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*j - 69*j - 3*h + 25 = 0, -3*j - 5*h + 182 = 11*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96611815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 813 + -808. Which is the nearest to -0.1? (a) -2\/7 (b) p (c) 2\/13 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/44526 and 67\/1629?\nAnswer: 133578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 9 + h - 10 as i + x*h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -17.7. Let c = -12 + p. What is the third biggest value in 0, c, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 + -2.3. Let b = 7.9 + y. Let a = b + -1.9. Which is bigger: a or 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 - a**2 - a + 1. Let c(t) = 8*t**3 + 37*t**2 + 2*t - 2. Determine -c(n) - 2*d(n).\nAnswer: -14*n**3 - 35*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n - 2. Determine y(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4. Let i(g) = -5*g**2 + 8*g - 7. Let t(c) = i(c) + 4*v(c). Suppose t(y) = 0. What is y?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 3783?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 2\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**2 - 151341*f = 0.\nAnswer: 0, 50447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - j**2 - 2. Let s be o(0). List the prime factors of (-1)\/s*-2 - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + -2)*6\/12. Let z = -4 - m. Let c(h) = -7*h + 6. Let r(p) = -7*p + 7. Let v(i) = -7*c(i) + 6*r(i). Calculate v(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255283, -1024023, -2305265, -4099015, -6405279, -9224063, -12555373?\nAnswer: -16399215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -33, -61, -113, -195, -313, -473?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*j = -307*j - 2*f - 8, 4*f = 5*j - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a decade in months?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-16) - -10)*-92\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22 - -20)*2\/(-4). Suppose 642 = 4*g - 558. Let l be -2 + 4\/(592\/g). Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-t**2 + 5*t**2 - 5*t**2) - 16 - 2*t**2 - 21*t + 15 + 19*t.\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -42*s - 15*s + 96 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2. Let o(n) = 3*n**2 - 18*n - 1. Determine -o(q) - 4*s(q).\nAnswer: q**2 + 18*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 4468 - 2*v + v**3 + 62442.\nAnswer: v**3 - v + 66910","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/65? (a) -0.3 (b) -1.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:15 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(13 + -7)*(0 - 0). Suppose i = -5*h, g - 4*g - 3*h = -9. Suppose 2*r - 100 = -2*v, g*v + 2*r - 77 = 77. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*c**2 - 296*c - 640.\nAnswer: -(c + 40)*(7*c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80402*n**3 - 40195*n**3 - 40205*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.47, -24, 0.4.\nAnswer: -24, -4.47, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t = -43*t + 3672. Let j = -2755\/6 - t. Is j equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 5572?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 857871, 857943, 858055, 858201, 858375?\n\"Answer: -a**3 + 26*a**2 + a + 857845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2143 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 37*s**2 - 5*s + 5. Let i(w) = -114*w**2 + 16*w - 11. Calculate -7*d(q) - 2*i(q).\nAnswer: -31*q**2 + 3*q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*d + 4*r - 0, 3*d - 2*r = 5. Suppose 0*o - 30 = -d*o. Suppose 10 = 5*z - o. Solve 4*y - 4*i = 0, 4*y + z*i = -y - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*w + 733*w + 249*w + 464*w - 170*w.\nAnswer: 1175*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*r**3 - 4 + 4 + 85*r**3.\nAnswer: 175*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -31)\/(-8) - 120\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 36.9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -24. Suppose -53 = -5*z + c. Calculate the remainder when 44 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b + 4*p + 437914, 5*p - 350364 = -4*b. Let i = b + -61016. Round i to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1236495, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 1:52 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716876267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-3*t + 2*t - 3*t) - 7*t - 5 + 5 - 2 + 2 + 4*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1998\/4)\/9*(-4)\/(-6). Let m(y) = 347*y + 140. Is m(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 66. Let n(p) = -p**2 + 16. Calculate the remainder when t is divided by n(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 3:03 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 63*c + 231. Let z be s(-17). Let g = -395 - z. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -62. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18740910 is divided by 13610.\nAnswer: 13550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601448010 to the power of 1\/2, to the nearest integer?\nAnswer: 40018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*y - 94 + 8 = 0, 12*y + 16*y - 31*y + 2749 = c + 2759 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 + 1156*p + 4663. Let t be h(-4). Let u = -34 + 3. Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l**(-1\/2))*l)\/l)**14)**22*(l**0*l)**39\/(l**7*l*l**(3\/4)) assuming l is positive.\nAnswer: l**(1969\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551 divided by -3376?\nAnswer: -3551\/3376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267.618ml to litres.\nAnswer: 0.267618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -580562?\nAnswer: 580561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 2, y: 1, r: 1, e: 1, q: 1}. Give prob of sequence jr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = -14. Let u(t) be the second derivative of t**4\/12 - t**3 - 5*t**2\/2 - 4*t. Let y be u(f). Solve 9 = y*p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4075, 4073, 4071?\n\"Answer: -2*d + 4077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -383853 or -383855?\nAnswer: -383855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 58462*t - 1262. Let q be d(-49). What is q rounded to the nearest 10000?\nAnswer: -2870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*f - 75*f + 585. Suppose 14*u - f = 5. Solve 0 = 5*c - 2*z + 6*z + u, 5*z = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 3. Let t be h(5). List the prime factors of (84\/t)\/7*-42.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-792)\/(-440) - (8\/10 - 1). Solve -4*d = -w*j + 4*j + 10, 0 = -4*j + 3*d + 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veaprsesreeraraerrss. Give prob of sequence va.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16179118, 16179112, 16179102, 16179088, 16179070, 16179048, 16179022?\n\"Answer: -2*j**2 + 16179120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-6)*27\/(-6). Let d(z) = -19*z - 17. Let i be d(t). Calculate the common denominator of 12\/8 + -2 + i\/(-8) and -4\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 18*r - 24. Let h be c(-7). Differentiate 37 + 4*d**2 + h + 17 + d wrt d.\nAnswer: 8*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/((-186)\/(-18) - 9). Let y(i) = -i. Let r(g) = 28*g - 17. Let n(s) = -r(s) - 3*y(s). Let o(h) = 3*h - 2. Determine l*n(c) + 51*o(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -48 + 13*t**2 + 20*t**2 + 4*t - t**3 + 5 + 15*t**2 - 35*t**2. What is n(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2979 is divided by 1439.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5 + 3)*0. Suppose -3 + q = -b. Solve 0 = -0*m + m - b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 52. Suppose 12*v - 115 = -j*v. Calculate the remainder when (13\/(-4) - 0)*-4 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 n, and 1 f when three letters picked without replacement from fynlfnlflfflnnlnfl?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3603371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*u = 41*u + 18*u + 2664 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 285, -2, 7\/24, -1\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -51.4209666 and 1183.83.\nAnswer: 1132.4090334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4986989438?\nAnswer: 2, 2493494719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61.98 + -65. Let s = -0.02 - y. Let d = 198 - 196. Is s != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*7\/154)\/((-111)\/45177).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t. Suppose -4*b + 3*b + 4 = t. Solve -2*d = 3*j + 16, b*j = -d - 10 - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1970c - -9?\nAnswer: 19715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2 + k + 7. What is c(-3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24.139 times 0.133\nAnswer: -3.210487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231394241 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80.982 + 0.018. What is the third biggest value in -0.1, 1\/3, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8 + 4 - 4*y**5 - 17*y**3 + 15*y**3 + 0 + 5*y**2 wrt y.\nAnswer: -240*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -106. Let y(p) = -p**2 + 7. What is y(r)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 - 114876*n**3 + 48658*n**2 + n - 2.\nAnswer: 60*n**2 - 689256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 2 (c) 1\/6 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -2636b1?\nAnswer: -2636ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 30460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126871\/15 + -8460. Calculate the common denominator of l and -127\/2622.\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 5*t**2 - 11719*t + 4*t**2 + 11719*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4306877?\nAnswer: 29, 148513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + h**2 - 5*h + 4*h + (-1 + 2*h + 1)*(3*h + 4*h - 4*h).\nAnswer: 5*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/4, -4\/7, -6\/7 in ascending order.\nAnswer: -6\/7, -4\/7, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -178, -371, -590, -835?\n\"Answer: -13*w**2 - 154*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 8 = 3*a, 4*a + 45 = 4*b + 37 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -37 (b) -1 (c) -2 (d) 2552\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*k + 236*k = 4*t - 4, -k = 2*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-950)\/(-40)*(-2944)\/(-80) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.7 + -13.7. What is the closest to -1\/3 in k, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16123 + -16126. Let y be -1*1\/2*8. Let n be ((-1)\/11)\/((-2)\/y). What is the third biggest value in n, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = b + 2*r, 5*r = 3*b - 349 - 497. Let w = b + -80. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/13))**(-43))**36 assuming b is positive.\nAnswer: b**(-3096\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-20)*(-40)\/(-72). Let c(f) be the third derivative of -1\/3*f**3 + 0 - 3*f**2 - v*f**4 + 0*f. Let a(o) = 7*o + 4. Give -3*a(l) - 5*c(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -105*g + 118. Let c be b(0). What is the greatest common divisor of 649 and c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/38528844 and -35\/72?\nAnswer: 231173064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 49*x**3 - 3*x + 12. Let n(m) = 50*m**3 + m**2 - 4*m + 16. Determine -4*c(j) + 3*n(j).\nAnswer: -46*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 313, 309, 305?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 38 = 93. Suppose 5*x - w = 49. Suppose 0 = -3*g + g + x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-2460)*3*15\/27.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, h: 2, g: 2}. What is prob of sequence hh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -3 - 8 - -4. Suppose v + u + 4*u = -7, 4*v - 5*u - 47 = q. What is the highest common divisor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640338.\nAnswer: 2, 7, 117167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -221, -338, -459, -584?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**2 - 2119218 + 2119218.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + 13*c - 10. Suppose 0 = 4*k - 2*y - 12, -4*k + 11 + 17 = 2*y. Let d(j) = 3*j**2 + 9*j - 7. Calculate k*p(f) - 7*d(f).\nAnswer: -f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98385287 by 143.\nAnswer: -688009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((-1)\/3 + 27\/9). Which is the third smallest value? (a) 0.1 (b) l (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 1)*(-2*r + r - r)*(5 + 1 - 4 + (4 + 2 - 5)*(-3 - 4 + 5) + 1 + 6 - 3) to the form d*r + x and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-2) + 3 + 3. Suppose -5*b - i = -2*p - 42, -p = b - 7. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/(144\/(-48))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -20104.96 to the nearest 10.\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffbfbfbbfbbfcffbc. Give prob of sequence fbcf.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/14*-56*3\/(-16)*(-81)\/54\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 m when three letters picked without replacement from ssmmsmmims?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 - -1 - (-308)\/(-56).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55500023868 take away 0.04?\nAnswer: 55500023867.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, y: 1, x: 2, d: 4, w: 1}. What is prob of picking 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13092948 times 5?\nAnswer: -65464740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(36) - sqrt(36))\/sqrt(6))\/((sqrt(9)*-1)\/sqrt(3)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 9 + 31)*(34*l**3 - 20*l**3 - 19*l**3)*(2 - 2 - 3*l).\nAnswer: 495*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*n - 287*n = -336. What is the highest common divisor of n and 576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 19*i + 97. Determine f(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 + x - 7. Let w be s(7). Let i(h) = -4*h**2 + 6*h**2 + w*h**2. Let a(k) = 2*k. Give a(i(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -361*s - 4*s**2 + 17*s**3 + s**4 - 2 + 362*s - 17*s**3 in the form j*s + u*s**3 + i*s**2 + k + m*s**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 2 - (0 - -2). Let c(r) = 2*r**3 + 4*r**2 + 2. Let z be c(k). What is z rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)\/t)\/t*t)**(-5\/4)\/((t\/(t**(1\/5)\/t)*t)\/(t*t*t*t*t**(-10))) assuming t is positive.\nAnswer: t**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -169*q + 165*q + 16. Solve 0 = -q*c - 0*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123657 at most 7123658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-20)\/16*(-2)\/(-55). Let x = 0.5 - 0.3. Which is the closest to -1? (a) x (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 666\/70 + 18\/63. Let f = 8147\/5 + -1620. Let w = r - f. Which is the smallest value? (a) 1\/2 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 3}. What is prob of sequence mppm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -85807 to the nearest 1000.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 525\/189 - (1 - -2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 - 48 = 0. Let c = f - -450. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1949310 divided by 51\nAnswer: 649770\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {n: 5, y: 1, r: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88.3 - 93.33. Let q = 0.03 + h. Which is the closest to -3? (a) q (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*((sqrt(500)*-3)**2 + sqrt(500)) + 5.\nAnswer: 120*sqrt(5) + 54005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8 and 79\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.77 + -171.77. Let s = 117 + m. Let y = 50.9 + s. Does -8 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56921.5l?\nAnswer: 56921500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/x**(3\/7))**(-49) assuming x is positive.\nAnswer: x**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13250 + 13027.06. Round t to 0 dps.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 1586133708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 + 4*p - 4. Suppose 4 + 1 = -d. Let k be h(d). What is the third derivative of -k + 2*x**3 + 4 - 3*x**2 - 3 wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -12, -3, 2\/7, 3152, -0.4?\nAnswer: 3152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + -4 + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8877 - -8884. Calculate the smallest common multiple of h and 3971.\nAnswer: 27797","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-25)*f*(f\/f**18*f)\/f*f**(-28)\/(f\/(f*f\/(f*f*f*f**11*f))) assuming f is positive.\nAnswer: f**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 41*p**2 - 2*p. Let n(x) = x + 6. Let u be n(-8). Let y be z(u). Let i = y - 91. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -148*j**5 - 1662460*j**4 - 3054784*j**3 + 539088*j**2 = 0.\nAnswer: -11231, -2, 0, 6\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -24\/7, -0.5, 20, -1402, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 59, 5, -4 in decreasing order.\nAnswer: 59, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/2*2*1. Let o be (-11)\/(-33)*21*-1. Let t = o + x. What is the lowest common multiple of t and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 231*d**2 + 455*d - 2628. Give q(-233).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -185*a + 278. Let y(l) = -358*l + 557. Let b(r) = -5*k(r) + 3*y(r). Differentiate b(m) wrt m.\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:27 AM?\nAnswer: 233","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -526641 and -0.7?\nAnswer: 368648.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 44 = -0*o. Suppose -5*r = -20, 0 = -3*a + r - 3*r + o. Let y = -61\/212 - -2\/53. Is a > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -3405?\nAnswer: -3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 31?\nAnswer: -9\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/432 and 115\/216?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -472271402, -944542801, -1416814200?\nAnswer: -1889085599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 3. Let x be i(-6). Suppose -3*u - u - 20 = 0, -x*u = -4*o + 379. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 6 + 22)*(-2*y + y + 2*y) + 2 - y - 2 + (2*y + 3*y - 3*y)*(0 - 2 + 1) + y - 3*y + 4*y - 3*y + 2*y + 0*y in the form n + f*y and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -26. Let t = 0.3 + -0.2. Which is the closest to 1? (a) 0 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -1\/3*q**3 + 0*q**2 - 3\/4*q**4 + 0*q + 3. What is the third derivative of o(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v**3 - 16*v**2 - 16*v + 1. Give f(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(176) + sqrt(176)*-2 + 3 - (2 + sqrt(176) + 2 - sqrt(176))) + 5)**2*-4.\nAnswer: -708 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + n**2 - n**2 + 3*n**2 - 5*n**2 + (3*n + 2*n - 6*n)*(-3*n + 0*n + 4*n) + 0*n**2 - 2*n**2 + n**2 + (-2 - n**2 + 2)*(-3 + 1 + 4).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**6\/60 + 2*k**5\/5 + 1093*k**4\/24 - 11*k**2 + 127. Find the second derivative of a(d) wrt d.\nAnswer: 12*d + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {d: 1, o: 3, s: 12}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 375 = -3610. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -22. Let m = 12 + k. Let f = 10 + -7. What is the biggest value in -0.1, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18197 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/14242476 and 149\/8245644.\nAnswer: 156667236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*d**2 + 7265238*d - 78758765?\nAnswer: -66*d + 7265238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t\/(t**(-13\/2)\/t)*(t**0*t)**(-3\/17))**(-33) assuming t is positive.\nAnswer: t**(-9339\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*f + 72. Let p be (-8)\/f - (-50)\/18. What is the second derivative of 0*u**3 + 3*u + u**3 - u**p - u**5 wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v - 92*v - 707 = -176 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1100142 (base 6) to base 8\nAnswer: 152336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 9*v - 9. Let z(l) = 3*l + l - 2*l**2 + 5 - 3*l + l**2. Let t be z(4). Let p be m(t). What is the highest common divisor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 + 5. Let v be (-8)\/(-3)*4653\/(-66). Let d = -182 - v. Calculate j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 11. Let g be c(8). Let i = 20 - 10. What is the highest common factor of g and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012382 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b + 2 = 0. Let f = b - -2. What is the first derivative of f*s - 3 + s + 0 wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372832\/(-1211704)*3\/6*2*1\/2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -398\/993 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (8\/(-3))\/(-4)*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*l - 13 = 0, -54*l = -50*l - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)\/(sqrt(324) - sqrt(9)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(32) + 2 + 2*sqrt(200))**2.\nAnswer: 192*sqrt(2) + 1166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.35 - -0.48. Let m = 0.77 + w. What is the closest to 1 in 4\/5, 0, m?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/5 - -11\/10. Let l(s) be the third derivative of 3*s**2 + o*s**3 + 1\/8*s**4 + 0 + 0*s. Find the first derivative of l(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 81*j + 162*j - 81*j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5155, 20437, 45907, 81565, 127411, 183445, 249667?\n\"Answer: 5094*u**2 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/3)*i)\/i)\/i**(-2\/3))**(-27)*((i\/(i*((i\/(i\/i**(-1\/3)*i))\/i)\/i))**(2\/7))**48 assuming i is positive.\nAnswer: i**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0 + -3)\/3. Let z(d) be the first derivative of 4\/3*d + 1\/9*d**3 + q - 2\/3*d**2. Factor z(u).\nAnswer: (u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 2*n - 3*n. Let m(o) = -4*o. What is m(u(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 8*c + 6. Let g(a) = -6*a**2 + 8*a - 7. Let j(h) = -4*g(h) - 5*o(h). Let s be j(8). Which is greater: s or -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -27, -73, -151, -267, -427, -637, -903?\n\"Answer: -v**3 - 7*v**2 + 8*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 13*y**2 + 9*y - 24. Is b(-10) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 27*u + 70. Let o be i(-2). Let t = -211 + 427. Calculate the highest common divisor of t and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/558 and 91\/10230?\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4016 and 31\/327?\nAnswer: 1313232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241044 or -241045?\nAnswer: -241045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/2 (b) 21.4 (c) -14 (d) -3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = v + 1. List the prime factors of 38\/v + (-11)\/33.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12829667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*z + 3466 - 1426 = 0, 3*z = -j - 506. Let l = -4 - -5. Let w be j\/(-2*l\/(-25000)). What is w rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1659 divided by -3?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -s + 2 + 8, 3*s - 24 = 2*u. Let z(w) = -2*w**2 - 11*w + 7. What is the remainder when 9 is divided by z(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-9)\/((-45)\/1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:34 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.05, -0.4, -1.6, -0.1733?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -100*v**3 - 45*v**2. Let i(d) = 9*d**3 + 4*d**2. Let s = -52 + 56. What is s*n(z) + 45*i(z)?\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/2))**(1\/33)*(t*t*t\/t**23)\/t**(12\/7) assuming t is positive.\nAnswer: t**(-10025\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -100449.\nAnswer: 100447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:35 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 6*t - 1. Determine k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8096870552 to the power of 1\/2, to the nearest integer?\nAnswer: 89983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 949 = 3*v - x, 3*x = -v + 4*x + 319. What is the remainder when 297 is divided by (8\/(-6))\/((-28)\/v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(1\/3)*t*t))**(1\/5)*t\/(t**5\/t)*t**3)**(-50))**(-16) assuming t is positive.\nAnswer: t**(-640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**4\/8 - 2*w**3\/3 + 3*w**2 - 11. Let p be u(-5). Let h(v) = 20*v**2 + 16. Let d(k) = 4*k**2 + 3. Calculate p*d(b) - 2*h(b).\nAnswer: 4*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21.174, -3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:39 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2b77955 (base 13) to base 6\nAnswer: 1215033134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgllgfsll. Give prob of sequence sg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 8:11 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 19. Let z be k(-6). Sort z, -2, 3\/2.\nAnswer: -2, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32823, 131334, 295485, 525258, 820635, 1181598, 1608129?\nAnswer: 2100210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {a: 1, e: 4, l: 9}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29332 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 + 610*s**2 - 23100*s + 279000 = 0.\nAnswer: 30, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23301333 (base 4) in base 15?\nAnswer: -e470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 10*o**2 - 12*o - 18. Let f be u(-9). Suppose -f*c = -14*c + 955. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119)*2)\/sqrt(7) - sqrt(17))*-2)**2 - -4*(3*sqrt(119))\/sqrt(7).\nAnswer: 12*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j = -162. Let q be 39\/2*(-7)\/j. Let y = -1\/36 + q. Is y equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 9:56 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23091, 46178, 69265, 92352, 115439, 138526?\n\"Answer: 23087*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/3)*p\/p**(2\/17)*p\/p**(1\/2)*p**(2\/3)*(p*p**(2\/7))**(-19)*(p*p*p**1)**13 assuming p is positive.\nAnswer: p**(11629\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -23*n + 43 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, -1\/4, 67?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = 2*d - 3*d. Suppose -d = -5*t - 13. Suppose 4*m - t - 22 = 0. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322224 (base 5) to base 4.\nAnswer: -2222323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18773181 to the power of 1\/2, to the nearest integer?\nAnswer: 4333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-15)*1*(-18)\/15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Suppose 2*z - 3*z - 3*c = r, -2*z + 4*c = -10. Solve -z*q + 17 = 4*b, 2*b + 4*q + q = 19 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22111 + 2102?\nAnswer: -20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0087 - 0.1913. Which is the smallest value? (a) 16 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 7*o - 5*m - 43, 3*o + 59 = -m. Let w(k) = -k**2. Let l(r) = -10*r**2 + r - 1. Calculate o*w(d) + 2*l(d).\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 19*d. Let l be k(-19). Solve 2*y - 4*a = -a + 13, l = 4*y + a - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = -7*x. Suppose x = 14*t - 14064 + 5216. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96 - -95 - (15 + -8)) + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 124 = -9*i, 424488*v - 424471*v + 358 = 4*i for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 4*p - 8. Let i be h(2). Let g(q) = -6*q**2 - 2*q + 10. Let s(d) = 5*d**2 + d - 10. Let b(m) = -6*g(m) - 7*s(m). Calculate b(i).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 611, 2443, 5501, 9785, 15295, 22031, 29993?\nAnswer: 39181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 5:10 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(80)\/sqrt(90)) + (sqrt(99) - (1 + sqrt(99))) + 5 + 1*sqrt(11))**2 - ((-1*sqrt(495))\/sqrt(9) + sqrt(55))\/(5*sqrt(10)\/sqrt(2)).\nAnswer: 32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r**2 + 0 - r + 0 - 16*r**2 to d*r + g*r**2 + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21543484 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**9)*t*t**16 assuming t is positive.\nAnswer: t**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/40*-5*(-3 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231470, 462943, 694418, 925895, 1157374, 1388855, 1620338?\nAnswer: 1851823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 7*b. Let s be t(8). Solve 3*o - s = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eccu. Give prob of picking 1 u, 1 e, and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, -12 in descending order.\nAnswer: -4, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(2736) + 1*sqrt(1539))**2.\nAnswer: -42*sqrt(19) + 8380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 64*b + 8. Let f(m) = -256*m - 33. Let n(s) = 9*c(s) + 2*f(s). Let j be n(2). What is the units digit of (-2)\/(-4) - j\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/35 + 2\/35. Let w = 521\/8 + -65. Which is the nearest to 1? (a) w (b) u (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2014762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 1. Let u(p) = 8*p + 83. Let r(i) = -4*i - 38. Let z(o) = -11*r(o) - 5*u(o). Determine -7*t(l) - 2*z(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 2*i + 7*i**4 + 29 + 5*i - 3*i + 18 as c*i + w*i**3 + m*i**4 + d + q*i**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483201.\nAnswer: 3, 53, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u. Let y(x) = 3*x + 13. Let c be 375\/(-125)*(-1 - (-2)\/3). Give c*y(o) + 4*a(o).\nAnswer: -o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Let a(v) = -v + 7. Let c be a(m). Suppose 4*o - 24 = c*o. Solve 4 = 4*y - o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)*m**(-5)\/m*(m*m\/(m**1*m))\/((m\/(m*m**(-2\/11)))\/m))**(-20\/7) assuming m is positive.\nAnswer: m**(1184\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 + 218. Let l = -31 - -31. Suppose 5*v + l*v - 25 = 0, 4*d = -4*v. Put d, p, -0.2, 0.4 in descending order.\nAnswer: p, 0.4, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 26 = -10, 2*z - 2*s = 1 + 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606.43 years in millennia?\nAnswer: 1.60643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t + 40 = 0. Calculate the greatest common divisor of 104 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -12.18, 2, 2\/3, -3\/5.\nAnswer: -12.18, -4, -3\/5, 0.4, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-5)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27519024 to the nearest integer?\nAnswer: 5246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*q + 1 - 1 = -106*q - 418*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 941 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -106000000 to the nearest one million.\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -377, -3, -95, -4?\nAnswer: -377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 4. Calculate q(15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 15, -1\/4 in ascending order.\nAnswer: -1\/4, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 g when three letters picked without replacement from uugguupupuugppggg?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzqzzjzjz. Give prob of picking 2 j and 1 z.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 40 = -6. Let l(g) = -18*g**3 + 4*g**2 - 1 - 3*g**2 + h*g**3. Determine l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 0*3\/(-6). Suppose 5 = 2*u - p, 3*u - 4*p = 2 + 8. Calculate the highest common factor of u and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322550748 divided by -6?\nAnswer: -53758458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 12)*6\/(-15). Suppose 4*w - 10 = -w. Suppose d*r = -a + w*a - 9, 5*a = r + 26. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250 + 591. Suppose 0 = -4*r - 5*b + u, 5*b = 3*b - 6. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 2. Let r(x) = 4*x + 4. Let i(h) = -2*m(h) + r(h). Let l(n) = n**2. Calculate i(l(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzflfflllfflmf. What is prob of picking 1 m and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87686327 by 12.\nAnswer: -87686327\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 2*d**2 - d - 11. Let f be q(-5). Let l = -112 - f. List the prime factors of l.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42317761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1103 - 1088. Let x be ((-12)\/16*4)\/(-1). Solve p + p = 5*s + d, 0 = -p + x*s + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21378 * -2.4\nAnswer: -51307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394 - -1409. Does 35 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2121, 2522, 2925, 3330?\nAnswer: 3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.4 (b) -0.16 (c) -15 (d) 1 (e) 11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7*m - 2*i = -10, 4*m + 2*i = 8. Calculate the highest common divisor of 22 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3)*(-15)\/2. Suppose 2*f + 3*f = n. Suppose -5*k + 3 = -7. Solve -k*j = f*w + 5 + 10, -2*w - 4*j - 18 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = j - 14, -837*i + 842*i + 2*j = 16. Let z(o) = -2*o**2 - 3*o + 17. What is z(i)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15228 from 1.1.\nAnswer: -15226.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*h = 304, 0 = 3*u + 5*h - 516 - 398. Calculate the greatest common factor of u and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*s - 5*s + 4*s)*(2 + 1 + 3) + s - 3*s + 0*s)*(-6*s - s - s).\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3058\/88 - 34) + (-502)\/4*8\/16?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + k**2 - 2*k - 4. Find the common denominator of 35 and t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*y - 34944 + 36078 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let t(i) = -200*i - 2. What is -4*q(m) - t(m)?\nAnswer: 196*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 44 = 5*r + 38, 8 = 4*j + r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/48*(-28)\/(-123). Let l = s + -6\/41. Sort l, -2, -0.3 in descending order.\nAnswer: l, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1359 - -1373) + (5 - (1 - (0 - -2)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 904021 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 less than 156.7772881?\nAnswer: 42.7772881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 24. Let y be f - 0*4\/(-16). Suppose 2*v - 6 = y. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/10*(-1775)\/(-4260)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 2*b - 26 = 0, -7*b - 6 - 145 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 16, r - 169 = -4*b - 6. Is r a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -235379\nAnswer: 235381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 9*o**2 - 11*o + 1. Let i be -8 + -8 - 18\/(-2 + -1). What is y(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8082 = -28*c + 34*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2373, -2349, -2303, -2235, -2145?\n\"Answer: 11*n**2 - 9*n - 2375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i*i*i*i**0*i*i*i*i*i**(-11)*i*i**(-1\/2))**(-6\/13))**(-45) assuming i is positive.\nAnswer: i**(-405\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5035612, -5035613, -5035614, -5035615, -5035616?\nAnswer: -5035617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1306 - -1310.528. Let g = d - 4.5. Round g to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -8359134?\nAnswer: -1671826.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11 + 8 + 4*j + 7 + 0*j. Let y be x(-1). Solve 15 = -3*w - y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (3 + -4 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2950674, 2950677, 2950680, 2950683, 2950686, 2950689?\nAnswer: 2950692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 150?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 15977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -2*t, -2*t + 5 - 1 = 2*j. Suppose 0 = 4*l + t*a - 40, 4*l - a - 15 = 25. Let k(z) = z**2 - 2*z - 2. Let u be k(-2). Solve l = -u*x + x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*i + 6*h - 18, 0 = -3*i - 2*h + 13. Let t = 36 + -20. Let o be t*10*4\/(-32). Put o, i, -5, 2 in ascending order.\nAnswer: o, -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -x - 13779, 33*h - 5*x + 27558 = 35*h. What is the greatest common factor of h and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.162, 0.174, 5?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1075620 (base 9) to base 16.\nAnswer: 8df8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 143 = -80 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/111, -2\/7, 1 in decreasing order.\nAnswer: 1, -1\/111, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (5 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -110101011100000?\nAnswer: 110101011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 4*b**2 + b - 2. Let t be x(-3). What is the second derivative of 0*l + l - 34*l**t + 2*l**4 wrt l?\nAnswer: -384*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5448, 5513, 5578, 5643, 5708, 5773?\n\"Answer: 65*a + 5383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13391268 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5634664 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110101 (base 2) to base 4.\nAnswer: 21311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/5)\/((-48)\/(-80))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 115, -3\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from hwhhw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1050854 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**6\/15 + 13*p**2 - 26*p. What is the first derivative of u(y) wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1713 = 5*b, 0*b + 1701 = -5*b - 2*m. Let o = 686 + b. Suppose -z + o = 2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/68*(-40)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74599762 - 0.89?\nAnswer: 74599761.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*c**2 + 13*c + 10*c - 30*c + 10*c to the form i*c + l + n*c**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 65 = -3*o, 3*o - 2*o - 25 = -3*h. What is the units digit of 1\/(2 - 42\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*g + 652, 258 + 231 = 3*c - 2*g. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -24, -268 in descending order.\nAnswer: 8, -24, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14911 divided by -403?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 10, 16, 24?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*m - 259*m = 2*i - 20, -5*m - 5*i + 50 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2131, -4268, -6417, -8578, -10751, -12936?\nAnswer: -15133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26 + (-2460)\/90 - (-4 + 164\/84). Let m = -32 + 8. What is the third smallest value in m, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 4 - 3 - y)*(41 + 17 + 31 - 6 + 3 + 2 + (2 - 1 - 3)*(1 + 3 - 3) + 3 + 1 - 5 + 3 - 5 + 4).\nAnswer: -87*y + 1305","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74.8 + 75.2. Let i = 4 - 4.5. Which is the closest to -0.4? (a) i (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m + 2*j = -7, -3*m = 2*j + 17. Suppose o + 2*o + 16 = 2*s, 0 = -4*o + 3*s - 23. Let d be 3\/(-6)*(-4)\/o. Sort m, d, 0.\nAnswer: m, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(162) + (sqrt(162) + 1)*-4 + sqrt(162))**2*1 + -3 - (0 + 1*sqrt(162) + 5 + 1)).\nAnswer: 135*sqrt(2) + 659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*x + 532 = -847 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 49 + 17 - 3*u + 14.\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16385812128 and 2.\nAnswer: 16385812130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 12, 8, 4, 0, -4?\n\"Answer: -4*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24892 and 4?\nAnswer: 24892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 3362.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 3*z**2 + z + 1. Let c = -3631 - -3633. Give v(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -2.6. Let g = 161\/516 - 8\/129. Which is the closest to -0.1? (a) h (b) g (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/24 + 55*b**3 + 27225*b**2 + 5989500*b + 416. Determine c, given that n(c) = 0.\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose r + w - 3 = 0. Factor -3*o**4 - 3*o**3 + 3*o - r + 0 - 5 + 9*o**2.\nAnswer: -3*(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 128*h - 1. Let r(i) = 894*i - 8. Let w(q) = 2*r(q) - 14*u(q). Let c = 2 - 0. Determine w(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/26 + 324\/78. Suppose 2*o - v*c + 290012 = -3*o, 3*o = -c - 173997. Round o to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (29 - 28) + 1*-1. Suppose 55*g - 63*g + 1144 = n. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 770713697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -306596 divided by -2\nAnswer: 153298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 346 in -1, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-6))\/(61\/61)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (492\/(-3444))\/(2\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29896 = 7*q - 3212. Let x = q + 5401. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y = 4*y. Let k(z) = -z + 2. Calculate k(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/70*((-19)\/21 - (-16)\/48).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**2 + 8*z + 4. Find the first derivative of y(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**23\/(s**11\/s) assuming s is positive.\nAnswer: s**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 13, 11, 7, 1, -7, -17?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1.3, 8, -0.133 in decreasing order.\nAnswer: 8, 1.3, -0.133, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3134, 4208, 5282, 6356, 7430, 8504?\n\"Answer: 1074*t + 2060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**7\/77 + 4*h**6\/33 + 27*h**5\/110 + 5*h**4\/33 - 2*h - 11. What is s in m(s) = 0?\nAnswer: -5, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-9) + -3 + (-3)\/(-3) - 1552\/(-2112)?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - d - 49 = 0, -d - d = -4*m + 54. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 7:16 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*l - 5*o, 3*l + 10 = 6*l + 5*o. Suppose 10 = w + 3*j, 2*w + l*j - 10 = -3*w. Let s(i) = 4*i - 1. Let a(v) = -12*v + 3. Calculate w*a(k) - 7*s(k).\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4478 - 120892\/27. Find the common denominator of -145\/6 and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.184 + -8.4292. Let z = n + 6.25. What is z rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b + 1. Let h be g(1). Let y(s) be the first derivative of -3*s**4\/4 - s**3\/3 - 3*s - 1. Let t(u) = -4*u**3 - u**2 - 4. What is h*t(q) - 6*y(q)?\nAnswer: -2*q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/3 - k. Let s(j) = 2*j. What is m(s(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f**2 + 2*f. Let q(h) = -2*h - 2. Let d be q(-3). What is the units digit of i(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u + 4*r = 1072, 0 = 2*u + 4*r - 546. Let s = 266 - u. Let v = -0.7 - -0.2. Which is the third biggest value? (a) v (b) 2\/23 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -64. Let a = o - -59\/2. Let y = 5 - 5. Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 241715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 - -300a?\nAnswer: 302b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d + 4. Let w be t(0). Suppose 13*m - 13620 = -47*m. Suppose 97 + m = w*c. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*z - 2*z. Suppose -5*r - 70 = -5*p, 3*p + z*r = 4*r + 72. What is the remainder when 75 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(65)\/(sqrt(10)\/sqrt(2)))*-1 - ((sqrt(208) + 1)**2 - (sqrt(13) + sqrt(13) + 1 + 0)).\nAnswer: -208 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20423405 and 16338724?\nAnswer: 81693620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - 3?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 2*q - 1. Let b be y(-1). Let f(o) be the first derivative of -3\/4*o**4 - o**3 + 0*o**b - 1 + 0*o. What is the third derivative of f(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5\/4 - 416\/208\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 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: Suppose 13*z - 222 - 90 = 0. Solve 0*l - 6*l - z = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*(-30)\/20.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**3*o**3*v - f**3*o**3 - f**2*v + 12*f*o**2*v - 2*f*o*v - f*v + 4*o**3 wrt f?\nAnswer: -30*f*o**3*v - 6*f*o**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114076*p**3 - 134178*p**2?\nAnswer: -684456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - c**2 - 6*c + 3. Let b be f(3). Solve 4 + 2 = -b*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x**2 - 2*x - 30. Let h be r(-5). Suppose -3*l + 27342 = 2*l - 4*d, 0 = -h*d + 10. What is l rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**4 - x**3 - x**2 + x - 1. Let y(q) = 47*q**4 - 121*q**3 + 98*q**2 - 29*q + 2. Suppose 65*i + 1 = 66*i. Let g(u) = i*y(u) - r(u). Factor g(t).\nAnswer: 3*(t - 1)**2*(4*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4744, 9557, 14362, 19159, 23948, 28729, 33502?\nAnswer: 38267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 26*3\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8872 + -8869. Let r(t) be the second derivative of 4*t + 0 + 7\/2*t**2 - 1\/2*t**y. What is r(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 171*k - 342*k + 166*k + 454 = 0, -5*t - 5*k = -430 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**5 - 35*o**4 + 9*o**3 + 1031*o.\nAnswer: 40*o**3 - 420*o**2 + 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78, 356, 816, 1452, 2258, 3228, 4356, 5636?\n\"Answer: -b**3 + 97*b**2 - 6*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16*s - 12*s = -188, 4*s - 252 = -3*w. Solve w*f = 86*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -3 in descending order.\nAnswer: 5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*m + 1025 + 1884 + 339 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*h = -34 + 10, 4*h = 3*p + 21. Let y(f) = -f + 1. Let i be y(p). Calculate the remainder when (0 - i)\/(2\/(-11)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205960*h**2 + 14*h - 967 wrt h?\nAnswer: 411920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -15. Let s = b + 10.5. What is the biggest value in 0.2, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from {u: 4, p: 1, m: 1, o: 3, h: 2, r: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27043 + 21*y**3 - 27043.\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 31. Let g = 31 + j. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-156)\/153))\/(40\/(-48)*(-18)\/40).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 0.21. Let z = d - -0.15. Which is the third biggest value? (a) 5 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200022 (base 3) to base 10.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**2\/2 - 33. Let w(p) = -p. Let o(a) = -3*r(a) + 4*w(a). Let l(s) = -10*s. Give l(o(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3 - (-7 + -1). Solve -4*x + 5 = p*d, -d = -0*x + 3*x - 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -166? (a) 0.098 (b) -3 (c) 3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11231458 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -191875, -192044, -192325, -192718?\n\"Answer: -56*c**2 - c - 191818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1890*j = 6174*j + 77112 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 519654 = 519873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*r + 69. Let p = -18 + r. Let a(f) = -f - 2. What is a(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/16)\/(1\/2). Sort -4, r, -3 in ascending order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6550 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 812 divided by 203.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 3*y - 2*y - y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -10, -223\/7, 132, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1975435 + 113*g + 1975417 + 51*g in the form d + o*g and give o.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186451, 372909, 559373, 745843, 932319, 1118801, 1305289?\nAnswer: 1491783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 112, 165, 218?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123 - -33) + -107 + 2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*-4 - sqrt(14))\/sqrt(7)*-6.\nAnswer: 294*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((12546\/(-164))\/(-153))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 1:00 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -9067593 less than or equal to -9067595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-171)\/(-27))\/19*21\/(-33)*60\/35\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:13 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(-4\/31))**(12\/11) assuming z is positive.\nAnswer: z**(-96\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -186, -367, -526, -651, -730, -751, -702, -571?\n\"Answer: 2*u**3 - u**2 - 192*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-22)\/((a\/(a*a\/a**(-8\/5)))\/a))\/((a*a**(2\/31)*a)\/a**(-2\/27)) assuming a is positive.\nAnswer: a**(-85954\/4185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f - 5\/3*f**3 + f**2 - 1\/4*f**4 + 2. What is s(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose -50 = -x*v - 6. Let a = v - 8. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -4 - -21) + -13 + -7 + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, d: 1, q: 3, e: 2}. What is prob of sequence idee?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*l - 7 = -3*l, -5*p = -4*l - 16. What is the smallest common multiple of p and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2830791 or 2830797?\nAnswer: 2830797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/15 and -45\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 7 - 11)*(r**3 + 2*r**3 - 5*r**3).\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1372)*3)\/(sqrt(40)\/(sqrt(10)*-4 + sqrt(10)) - sqrt(4)))**2.\nAnswer: 27783\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3, -10, 616?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 36 + 38)*(-2*b + 3*b - 5*b).\nAnswer: 64*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(704) - (sqrt(704)*3 + -2)).\nAnswer: -16*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 10. Let p = 19 - d. Let c be (1372\/(-21))\/(6\/(-9)). What is the highest common divisor of p and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.042399 decades in centuries?\nAnswer: 0.9042399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*s + 167, -6*f = -5*f - 1. Let v(z) be the second derivative of -z**3\/3 - 3*z**2 + 2*z. Calculate the remainder when s is divided by v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2. Let f(q) = 486*q. Determine f(z(u)).\nAnswer: -1458*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 9. Suppose 0 = -3*p + 5*p. What is y(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 23629*n + 661535. Calculate o(-28).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, d: 2, v: 2, p: 1}. Give prob of picking 1 o and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -3. Let v(d) = -21*d + 284. Let p be v(13). Calculate the highest common factor of p and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-25)\/((q*q*q**(-1)*q*q)\/q**(2\/9)))\/((q**(1\/4))**(-47)*(q**(-2\/5)*q)**(-5\/2)) assuming q is positive.\nAnswer: q**(-523\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.17 (b) 3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 19*x**2 - 36*x + 2. Let q be z(2). Suppose 7*i - 7436 = -q*i. List the prime factors of i.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvv when three letters picked without replacement from {v: 4, w: 3, l: 6}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/3)\/(6\/4). List the prime factors of s\/6 + 17\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**2*x**3 - 3*a**2*x**2 - 7*a**2*x - 655593*a*x**3 + 9928*a*x**2 + 3*x**3 - 2 wrt x?\nAnswer: 66*a**2 - 3933558*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-3)\/48)\/((-1)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -139\/28, -0.03, -2\/39?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*t - 7*t + 116, -5*a = t - 7. Let u = t + 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -352305*k. Let h(w) = -131*w**2. Give m(h(i)).\nAnswer: 46151955*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 3*m - 5902532*m**3 - 5902539*m**3 + 23610138*m**3 - 5902539*m**3 - 5902532*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4740939243.\nAnswer: 3, 17, 43, 720617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwjjjwhwwwwwhw. Give prob of picking 2 j and 2 w.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53847\/2 + 27735. Let l = 831 - s. What is the common denominator of l and -25\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - -56. Suppose -4*v + 93 = -b, 4*b - c = -4*v + b. Let r = 620 - 615. Calculate the remainder when v is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/4 (b) -1 (c) -957 (d) 3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 176*b + 6144.\nAnswer: (b - 128)*(b - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 1 + (2 - 5). Let q be (-3)\/(33\/(-12) - o). Suppose -v + 5*v = 24. Put -5, q, v in descending order.\nAnswer: v, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f**2 + 0*f**2 - 4*f**2)*(55*f**2 - 114*f**2 + 60*f**2) in the form i*f**4 + x*f + r + n*f**2 + t*f**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032034 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*t + 5 = 0, -4*z - 4*t = -9*t - 1. Which is greater: -11\/41 or z?\nAnswer: -11\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798427889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2162163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 2 - 3 + 1 + 3*v**2. What is x(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 7. Let f(d) = -d - 7. Give -3*f(i) + 2*q(i).\nAnswer: -i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Suppose -q + 81 = 2*q - 4*v, v + 95 = u*q. Suppose 3*j + q - 71 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*j + 33*j**2 + 1740 - 1740 - 400*j.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -16395.2 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21350 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 11, g: 1, u: 1, a: 5}. What is prob of sequence ac?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 99513895?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d, 2*f = -2*d + 32 + 4. What is the remainder when (-34)\/(-4)*(0 + 4) is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 10*f**2 - 12*f + 3. Is y(-7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 143. Suppose 5*p = s*l - 1529 + 502, -4*l - 4*p = -1000. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 711, -24370, -2 in ascending order.\nAnswer: -24370, -2, 711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*c - 14*c**3 - 22*c - 25*c.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6)\/72*(-55)\/(-11)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173677 and 6923.\nAnswer: 3994571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6 = -2*n, 3*u + 2 = 4*u. Differentiate -17*k**2 - 1 + 15*k**n + 4 with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5052 + 572 = -4337*l - 37670 - 30435 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2220*v + 2*v**2 + 2318*v + 2*v**2 - 28*v**5 - 4*v**2 + 2 wrt v.\nAnswer: -560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -s + 35, -2*k - 113 = -5*k + s. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -535*b**4 - 3*b**3*p**2 + 20*b**3 - b**2*p**2 + 26289*b*p**2 wrt b.\nAnswer: -12840*b - 18*p**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-3))\/(7\/84). Let c = x - -30. List the prime factors of (-20)\/6*(-17 - c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*u**2 + 6*u**2 + 7*u - 9*u - 26*u wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 645 = -36*t. Which is the second smallest value? (a) t (b) 0.06 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3452 - -461?\nAnswer: -2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 711 - 667. Solve -10*q + x - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -86, 5, 17, -48, -2 in ascending order.\nAnswer: -86, -48, -2, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + 3. Let l(i) = 6*i - 5. Suppose -17*d + 64 - 183 = 0. What is d*v(n) - 4*l(n)?\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54207 and 628767?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*y**3 + 118 - 345*y**3 + 171*y**3 - 118.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3023.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -1121?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978.4 rounded to the nearest 10?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2576884, -5153852, -7730822, -10307794?\nAnswer: -12884768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 24*n**2 + 8*n + 11. Let m = 77 - 81. Does 33 divide h(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 209 = 224. Determine u so that -9*u**3 + 0*u**3 - 66*u + 11 - 15*u**3 + 63*u**2 + 13 + q*u**4 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3 + n**2 - 760*n + 3689.\nAnswer: 3*n**2 + 2*n - 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1094*q + 1091*q + 384. Solve -131*p + q*p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - (-11 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)\/a*a)**(39\/2)*a**(5\/3)*a*a**6)\/((((a\/a**5)\/a)\/a)\/(a*a\/((a**6\/a)\/a)*a*a)*(a*(a**(-1\/9)*a)\/a)\/a**(-1\/6)) assuming a is positive.\nAnswer: a**(841\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148309390 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -18. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - (4 - -1)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5275?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56 - 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 15*z - 105. What is the units digit of b(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 935967714.783 + 0.78.\nAnswer: 935967715.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 - 7*w**2 + w. Let v be y(-3). Are -15 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 - r + 8. Let o be t(0). Let y(p) = 5 + 12*p**2 - 22*p**2 + 11*p**2 - o*p. Let b(z) = z**2 - 5*z + 5. Let m be b(5). Give y(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619364302 to the power of 1\/3, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -52 times 96\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/18 + 2 - (-705)\/(-135)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/14 and 25\/758?\nAnswer: 5306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let m = -0.3 + -0.2. Which is the third biggest value? (a) -2 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4936 from 2009.4.\nAnswer: 6945.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 6*m + 22. Let h be u(-9). Let o(g) = -9*g + 11. What is the smallest common multiple of o(h) and 49?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/7)\/v)*v*v*v**3*v)\/((v*v**9*v)\/(v*v\/v**15)) assuming v is positive.\nAnswer: v**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, n: 12}. Give prob of picking 1 n and 2 w.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6. Suppose 4*s = 8, x = -5*k - 7*s + 4*s + 1856. What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 4. Let c be o(0). Let r be ((-9)\/c)\/(1\/4). Let s be 2\/(-10)*30\/r. Are s and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -317000 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8032686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {h: 3, a: 1, c: 1, p: 2, e: 1, t: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-8 - 10 - -6)) + 24 + 7 + -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) 0.33 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203844541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 8*v - 3. Let d(r) = -r**3 - 6*r**2 - 7*r - 3. Let b be d(-5). Let y(h) = -h + 8. What is the remainder when y(-6) is divided by n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 510, 1711, 4048, 7899, 13642, 21655, 32316?\n\"Answer: 63*j**3 + j**2 - j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 11 + 309 = 0. What is the highest common divisor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -4*b + 240. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540921.\nAnswer: 3, 180307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 7, 11, 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-30))\/((-10)\/(-50)). Solve 3*d - 27 = -u*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 10 = x, -i = -2*x + 1 + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -6 + 7 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20)\/(b\/(b\/b**(-19))))\/(b*b**(-8)\/b)**(-25) assuming b is positive.\nAnswer: b**(-201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000118068 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-26)\/(-9) - 4) + 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.308 - -4.308. Let t be 2927\/5580 - (-24)\/108. Let h = t - -1\/310. Which is the third smallest value? (a) 2 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464*j + 460*j = -96. Suppose j = t - 7*t. Which is the nearest to t? (a) 5\/4 (b) 1\/10 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260021 - 3*u**3 + 1260021 + u**3 - 2*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 38 (b) 5 (c) 2 (d) 1 (e) -13 (f) -2 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - 7\/5. Let g = -1 + 5. Let n be 8 + -8 - 7\/g. Which is bigger: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5989 plus -756?\nAnswer: 5233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456912695.\nAnswer: 5, 79, 1156741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 6. What is the units digit of b(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.6 and 386.6.\nAnswer: 7190.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 1235 - 185. Let t = 291 - u. Suppose 2*n = -4*m + 52, n - t = -3*n + 4*m. What is the lowest common multiple of n and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*c + 4 + 127*c - 4.\nAnswer: 38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -49. Suppose -p*l - 96 = -2*z, 15*z - l = 17*z - 76. Calculate the highest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*3)\/(-4*6\/64). Solve 2*c = 2 - z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - 1.99. Let k = -0.257 - -0.247. Let a = 139\/18 + -56\/9. Put w, k, a in increasing order.\nAnswer: w, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - l - 3*l - 5 + 13*l**2 - 9*l**2. Let t = -1 + 7. Does 11 divide k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:01 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001140094 rounded to six decimal places?\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/(-343))\/((-11)\/(231\/6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3368235 and -0.1068.\nAnswer: -3368235.1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 4\/3*p**2 + 0*p + 2\/9*p**3 + 240 + 1\/30*p**5 - 1\/2*p**4 + 1\/36*p**6. Factor k(d).\nAnswer: d*(d - 2)**2*(d + 1)*(d + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 + 7*m**4 + 3*m**3 = 0?\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r + 23*r = -5*v - 337 + 12, -5*v - 5*r = -365 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 0*n - 4 = 0, -5*n = 5*f + 30 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.10894065 - -16.17894. Let s = -0.07 + a. What is s rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/330457 and -27\/19883668.\nAnswer: 934532396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 2*r + 4. Suppose 357 = 7*c + 371. Let g(v) = 2*v**2 + 2*v + 1. Let j(n) = c*g(n) + m(n). Let i be ((-2)\/(-2))\/((-1)\/(-2)). Calculate j(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/405*14\/(-99). Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*y + 16, 3*q - 19 = 4*y - 2*y. Let d be 1\/4 + q\/4. Let n(o) = o. Let a be n(4). Solve a = d*t - 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 304977021325.\nAnswer: -304977021330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75) + 0) + (-1 + sqrt(75) + -3 - sqrt(75)) + 3 + -5 + (sqrt(75) - (sqrt(75) + 0 + -4)))**2.\nAnswer: 60*sqrt(3) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 400 + -1201\/3. Let m = 13\/15 - 1\/5. Let t = 0.14 + 8.86. Which is the nearest to m? (a) -2 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8189839807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14444? (a) 2\/2153 (b) -3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/a**31*a)*a**(-2\/39)*a*(a\/a**(4\/11))\/a**(-14) assuming a is positive.\nAnswer: a**(19556\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110010000001 + 11?\nAnswer: -1100110001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*s**5 - 140*s**4 - s**3 - s**2 - 2*s - 618 wrt s?\nAnswer: 840*s**2 - 3360*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/7 - 2440*a\/7 - 744200\/7 = 0.\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -118, -127, -134, -139, -142, -143?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57920.44 micrograms to nanograms.\nAnswer: 57920440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from mssfmmmfmfmm?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10 + 1)*-5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/15)\/(-16)*(-1)\/(-2)*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 170, 174, 190, 224, 282, 370, 494, 660?\n\"Answer: j**3 - 3*j + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 77 + (-5)\/((-15)\/(-18)). Solve -w*z - 20 = -67*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 8*a + 85. Let p be o(-14). Is p < 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 57937.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5182298*i**5 - 994314*i**2 + 2*i + 1?\nAnswer: -310937880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 565681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*j + 11. Let l be (3\/j)\/(4\/(-20)). Suppose l*y = -2*y. Solve y*h - 5*h + 4*r = -40, -2*h = 2*r + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, d: 3, l: 1, q: 1, j: 2}. Give prob of sequence lduq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -313*z + 20*z + 4864 + 1289 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 2*s**2 - 66*s + 181. Let g be f(4). Let i(c) = 7*c**2 - 2*c + 9. Let x(a) = 3*a**2 - a + 4. What is g*x(d) - 6*i(d)?\nAnswer: -3*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1001100 (base 2) to base 14\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + 2 + sqrt(147) + -2)**2.\nAnswer: 28*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -7. Suppose 3*z = -v + z + d, 0 = -v + 5*z + 50. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w**2. Let v(o) = -2382*o**2. Determine r(v(a)).\nAnswer: -68087088*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05913807 rounded to 4 dps?\nAnswer: -0.0591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10543520 - -535?\nAnswer: 10544455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*30\/45?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 - 31*d**4 + 74*d**3*o**3 + 2*d**2*o - 11744*d*o + 4*o**3 wrt d?\nAnswer: 60*d**2 - 744*d + 444*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1297 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*c**2*r**3 - 5*c**2*r - 5*c**2 - 6*c*r**3 + 5464*c*r + 287*r**2 + 2*r - 9 wrt r?\nAnswer: -468*c**2*r - 36*c*r + 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6367186 is divided by 1601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -22. Let x(v) = 7*v**3 + 2*v**2 + 3*v - 2. Let u(p) = -6*p**3 - 2*p**2 - 4*p + 3. Let s(t) = f*u(t) + 3*x(t). Calculate s(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48020 and 1850?\nAnswer: 8883700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40574, 43080, 45608, 48170, 50778, 53444?\n\"Answer: 2*l**3 - l**2 + 2495*l + 38078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5739*p**3 + 58*p**2 + 59*p**2 - 115*p**2.\nAnswer: 5739*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 3626\/(-84)*(-51)\/238.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.91 - -61275548834?\nAnswer: 61275548839.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99661\/22 + -15574517\/3432. Let q = 100\/13 + u. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19162237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122089 by -11.\nAnswer: -11099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 9 = -2*w, -3*w - 3*g + 6 - 9 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 + 29.9. Let h = -23 + d. Put -0.3, -18, h in ascending order.\nAnswer: -18, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(136) - sqrt(136))*-2 + sqrt(136) + sqrt(136) + (sqrt(136) - 4*(sqrt(136) + -1*sqrt(136))))\/(sqrt(40)\/(sqrt(120)\/sqrt(6)))*4.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 18*g + 4. Let y(p) = 35*p + 9. What is -9*l(b) + 4*y(b)?\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 - s + 4. Let u be b(-3). Calculate the highest common divisor of u and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*u - 39*u + 10*u)*(-2 + 6 - 2)*(3*u**3 - u**3 - u**3).\nAnswer: -84*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p\/(p*p*p**0))*p)\/p))\/p*p\/(p*(p*p**(2\/7))\/p*p))\/(p**1)**7*((p*p**(1\/5)*p)\/p**4)**40 assuming p is positive.\nAnswer: p**(-576\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = -6, 0 = -4*c - 2*o + 84. Suppose 0 = -h - 2*y + 1181, -2*y = 3*y + c. Suppose 3*l + 1580 = 4*p + 7*l, 3*p + 4*l = h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -2\/21, -2\/9, 1\/4, -2, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3 + 9. Suppose -h*b = -2*b - 12. Let q(n) = -n + 3. Let m(x) = -3*x + 7. Let t(u) = -2*m(u) + 5*q(u). What is t(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/14 and 179\/89407200.\nAnswer: 625850400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) 0.18 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 13*(-10)\/(-195)*18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/1089)\/((-1)\/18*2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-16) + 9\/(-4))*-2. Suppose -v*w + 3 = 3*n - 27, w - n = -2. Find o such that -8*o**2 - 23*o**3 - 13*o**2 + 12 + 17*o**w - 12*o = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9376243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 3*x**2 - 983*x**3 - 496*x**3.\nAnswer: -1479*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (2679 + 0 - 3) + -22 + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-111)\/18)\/((-40)\/(-54)). Let j = 76\/5 + o. Find the common denominator of j and 41\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 - 3*v**4 + 6*v**4 + 2*v wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 81023950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.533 - -1808900635.\nAnswer: 1808900636.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -3\/2*r**2 + 1\/6*r**3 + 0 + 1\/20*r**5 - 9*r - 3\/4*r**4. Let k be i(9). What is the greatest common factor of 18 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73874000 to the nearest one million.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j = 189 + 111. Solve -5*h - j = 0, 3*n + 8*h - 15 = 11*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12783 or -63912\/5?\nAnswer: -12783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.097517107 to four dps.\nAnswer: 0.0975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 338, 1350, 3034, 5390, 8418, 12118, 16490?\n\"Answer: 336*x**2 + 4*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 9*c - 15. Suppose 0 = 7*g + 3*g + 50. Let x be i(g). Put x, 8, 4 in descending order.\nAnswer: 8, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7e4e40 (base 15) to base 8.\nAnswer: 27026775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1314 and (-5)\/(10950\/(-3073)) - 222\/185?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 303090*a + 9. Let z(g) = -2*g**2. Give u(z(q)).\nAnswer: -606180*q**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 1 + 1)*(-4*o**2 - o**2 + o**2) + 4*o**4 + 0*o**4 + o**4.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 4663 + n + 6890.\nAnswer: -6*n + 11553","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.17 + 0.17. Sort x, -4\/7, 0, 0.05.\nAnswer: x, -4\/7, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 9:49 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.2910212\nAnswer: 0.1455106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5 = 3*w - 4*w, 0 = w + 2*b + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 2*6\/4. Let p = 25 + w. What is the remainder when 40 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 354 and 702?\nAnswer: 41418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235 - 37*t - 10 - 18.\nAnswer: -37*t + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)*x)**(1\/3)*x*(((x**(-1\/2)\/x)\/x)\/x)\/x*x*x**(4\/3) assuming x is positive.\nAnswer: x**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 7*y**2 - y - 2. Suppose 0 = -4*n + 3*t - 37, 4*n = -7*t + 4*t - 19. Let w be h(n). Which is the closest to 0.2? (a) w (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -143*h. Let d(i) = i. What is c(d(b))?\nAnswer: -143*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/122 and 1\/866.\nAnswer: 52826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/24*(5 + (-68)\/(-8) + -58 + 43)?\nAnswer: 51\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.86001 centuries to years.\nAnswer: 5586.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 397*a**2 - 8730*a + 27. Determine m(22).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.9791 - -14.9. Let r = z - -2.0791. Which is the closest to r? (a) -3 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36156 (base 7) to base 5.\nAnswer: 244401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13*u**3 - 21*u**2 - 13*u - 5. Let f(o) = 3*o**3 - 5*o**2 - 3*o - 1. Give -9*f(h) + 2*w(h).\nAnswer: -h**3 + 3*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((4\/(-3))\/2)\/((-1)\/6). Suppose 5*z - 16023 = -0*j + 2*j, -l*j - 3219 = -z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-60))\/(4\/(-12))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155 and 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 6 + 12*q - 10*q + 1 - 2 as m + d*q + r*q**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 343994 = -3*v + 961615, -v + 205876 = 2*a. Suppose 3*r = -2*o - 105985, -4*o - 4*r - v - 6106 = 0. What is o rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 45. Put w, 2, 1\/6 in ascending order.\nAnswer: w, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 + (-24 - -14) - (-12 + -3 + 11).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let x(w) = 6*w + 3. Let d(u) = -18*u - 8. Let s(f) = 3*d(f) + 8*x(f). Give s(v(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-490)*-7)\/((-1)\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5155.568 days?\nAnswer: 445441075200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*l**2 - 467*l**2 + 1119*l**2.\nAnswer: 1196*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7245 (base 13) to base 2\nAnswer: 11110110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 1. Let u be (0 - 1)\/(y\/4). Suppose 0 = -0*x - u*x + 3*r + 16, 0 = -4*x - 5*r + 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -2\/15, -1\/2, 1\/4, -2088, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eelecgklehghgk. Give prob of picking 1 e and 2 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 512, 534, 576, 644, 744?\n\"Answer: t**3 + 4*t**2 + 3*t + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x + 20*x + 34*x)*(-x**3 + 6*x**3 + x**3 + (-5*x + 5 - 5)*(-4*x**2 - 4*x**2 + 5*x**2)).\nAnswer: 735*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 80\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510104541.\nAnswer: 3, 71, 821, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.299 * -6\nAnswer: 1.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 - (-29)\/((-957)\/(-627)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5069197 to the nearest ten thousand.\nAnswer: -5070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*t = -194*t - 4560. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, f: 10}. Give prob of picking 1 f and 1 o.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -11*c**5\/20 + c**2 - c. Differentiate x(s) wrt s.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssycosossvouvoo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e7997 (base 15) to base 9.\nAnswer: 2726237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -867, -1095, -1055, -657, 189, 1573, 3585?\nAnswer: 6315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/17712 and 115\/3063096?\nAnswer: 251173872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 51.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -96, -111 in increasing order.\nAnswer: -111, -96, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 359 = 26. Calculate the highest common factor of 440 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9863 times 197?\nAnswer: -1943011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*z = -12, 4*i + 3938*z - 3935*z = -63 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 10 - 28 = 0. Which is bigger: h or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -9\/14020?\nAnswer: -9\/14020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Suppose 136 = j*q - 0*q. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(8 + (-4 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 + -5. Let n be (-2)\/10 - 18520\/a. Suppose 6*j = n + 697. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 9*b + 13. Is t(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**4\/24 - 2*d**3\/3 - 53*d**2 - 4. Calculate l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 9:28 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211302210 + 3300?\nAnswer: 211312110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -28. Let c be (-2)\/4*(-12)\/g. Let x = -13\/102 - 12\/17. What is the third smallest value in 4, c, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 43*j**2 + 38*j + 116. Give a(42).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74677446?\nAnswer: 2, 3, 563, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-39)\/36 - -1)*-3. Which is the second smallest value? (a) k (b) -49 (c) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxswxstwswjw. Give prob of picking 2 j and 1 x.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 46*p + 431. Suppose 0 + 1 = z. Calculate the lowest common multiple of a(33) and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18) - (-6)\/27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298109 is divided by 465.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.11264 - 0.30253912\nAnswer: -0.41517912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1607920801 to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*u + 170, 0*c + 5*c + u = 209. Suppose 3*n + 2*g = 48, 2*n - 2*g + 0*g - c = 0. Solve 3*x - 6*x - 2*r = -n, 0 = 4*x + 2*r - 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 7*z**2 - 14*z + 38. List the prime factors of j(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 + 5*g + 111 + 44 - 156 + 7*g**2. Give h(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299131752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-66)*4\/10 + 1475\/165.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15660271279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390147655.\nAnswer: 5, 78029531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1386, -3028, -4672, -6318, -7966, -9616?\n\"Answer: -z**2 - 1639*z + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 8*v**2 - v + 8. Let g be l(-8). Let b = g + 0. Calculate the remainder when b is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b60 (base 15) in base 13?\nAnswer: -1b297","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*f, 5*g + 5*f - 32 = 2*f. Suppose 4*h = 16, -774 = -w - g*w - h. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.1, 3\/4, -0.2, 0.3, 2.2, -146?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 12. Let n be (-3*(-2)\/3)\/(1\/2). Solve s*k + 2*k = -n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34173054581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**3 + 7*v**3 + 9*v**3 + (-294 - 388*v + 294)*(v**2 + 3*v**2 - 3*v**2) to the form o*v + b*v**2 + r + s*v**3 and give s.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 73*m + 17. Solve 6*r + m*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7359 + -7359. Let b = -0.5 - -1. Let s = 0.4 - b. Sort 1, -4, s, g in increasing order.\nAnswer: -4, s, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from iwwwwwwfiw?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7546*w**2. Let f(c) = -3*c**2. Give j(f(p)).\nAnswer: 67914*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12917771*h**3 + 3272677*h**2.\nAnswer: 77506626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1600, 37, 2 in ascending order.\nAnswer: -1600, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.24 * 0.2.\nAnswer: 0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*n = 242*n + 493 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 799*l**2 - 795*l**2 + 4*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 8 = 4*z - 1, 4*z = -3*b - 31 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r**4 - 31*r**3 + 4870*r + 4. Let p(h) = -3*h**3 + h**2 + 2. Let s(m) = c(m) - 2*p(m). Find the second derivative of s(a) wrt a.\nAnswer: 132*a**2 - 150*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17241.28 nanoseconds to microseconds.\nAnswer: 17.24128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(1 + sqrt(117)) - (1*((sqrt(325) + -1)**2 - sqrt(325)) - ((-1*sqrt(325) - sqrt(325))**2 + -4)))*5 + -1.\nAnswer: 375*sqrt(13) + 4949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -25*h + 16. Let c(b) = 5*b - 3. Determine -33*c(k) - 6*s(k).\nAnswer: -15*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from gphgamp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30115403 - 1?\nAnswer: 30115402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 409074447 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: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from sjsjsssjweoesjswx.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1938, 1936, 1932, 1926, 1918, 1908, 1896?\nAnswer: 1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36 and 3\/5020?\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16029.\nAnswer: 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002047 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6657 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: Let y(a) = -a**3 - 16*a**2 - 13*a + 35. Let n be y(-15). Solve n - 30 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 + -54?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25254313341.492 minus 1.8?\nAnswer: -25254313343.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43770355*b**4\/4 - 65655532*b**3 + 131311062*b**2 - 87540704*b - 4.\nAnswer: (b - 2)**3*(43770355*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6180*i**4*t**2 + 1471*i**4 - i**2*t**2 + 3816841*i*t**2 wrt i?\nAnswer: 148320*i*t**2 + 35304*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 63 + (-11 + -6 - 6)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 434206427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227*w + 159 wrt w.\nAnswer: -227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (-1053)\/(-216) - 2\/16. Sort 17, -81, k.\nAnswer: -81, k, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 15105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968 is divided by 320.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 427, 442, 457?\n\"Answer: 15*h + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*j + 4*j. Let m(z) = z**2 + 3*z. Let k be m(-3). Suppose k = -3*a + 2*a + 70. Calculate the greatest common divisor of j and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 6:56 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -16 + (-588)\/(-45))*15. Suppose 5*p = 3*p + 10. Suppose g = p*g. Put x, -2, g in descending order.\nAnswer: x, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4296)\/3120 + 1\/(-5) and 107\/494?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1433003441?\nAnswer: 1433004000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -13697db?\nAnswer: -13697d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6052\/260403 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + (-45)\/(-1) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/8))**43\/((k\/(k*k*k\/(k*k**(-2\/9)*k)*k))\/k)**(-3\/47) assuming k is positive.\nAnswer: k**(30155\/1128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 20 = 5*v. Suppose 23 = -v*y + 58. Suppose -154 - 161 = -5*i. Calculate the greatest common divisor of y and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.52? (a) -3 (b) -0.8 (c) 0.09 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21715*v + 43428*v - 12703*v**5 - 21713*v + 3 + v**5 - 3 + (v + v - v)*(-v**2 + v**2 + v**4) + 2*v**2 - 2*v**2 - 2*v**5 - 2*v**5 + 0*v**5 + 4*v**5.\nAnswer: -12701*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(4*(sqrt(304) + 2) + 2*sqrt(304) + 1).\nAnswer: 216 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/(l**(-4\/3)\/l*l)*l\/(l\/((l\/(l*l\/l**(-8\/7)*l))\/l*l))*l*l*l\/(l\/(l*l**(-6)))*l assuming l is positive.\nAnswer: l**(-101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 150 (base 6) to base 12\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 + 146*f**3 + 3579*f**2 + 35566563*f wrt f?\nAnswer: -24*f**2 + 876*f + 7158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m + 18 + 21. Solve -5 = -k + 5*u, -m*k - 3*u = 2*u + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.08 times -1611.1\nAnswer: 21073.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/9*h**4 + 28\/9*h - h**3 - 16\/3 + 32\/9*h**2 + 1\/9*h**5 = 0. What is h?\nAnswer: -2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q + 2 - 2 + (-1 - 2 + 1)*(17 - 17 - 3*q) - 2 + 2 + q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.19196 take away -0.3?\nAnswer: 2.49196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -187 and 853751?\nAnswer: -159651437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 6 (b) -52 (c) 5\/591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(1\/4)*x))**(-48)*(x**(2\/17))**(-21))**23 assuming x is positive.\nAnswer: x**(3726\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555 + -542 + 6 + -2 + (-69 - -1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 - 7) + 37*(-1)\/7. Which is the closest to -0.1? (a) y (b) 2\/203 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (-4*-3*sqrt(70))\/(sqrt(10) - -1*sqrt(10)*2).\nAnswer: -4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 8*k + 9. Let o be j(7). Suppose 3*m + o*l = 7*m + 18, -2*l + 6 = 0. Sort m, -7, 2 in decreasing order.\nAnswer: 2, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l + 2*l**2 - 9*l - 14*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:08 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51\/2, 2\/11, 2, 0, 0.33, -0.121?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3567 + 3567.783. Are m and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 + 898*b - 617 + 326.\nAnswer: 898*b + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350 + 354. Suppose 36*o = 35*o + l. What is the highest common divisor of 38 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - x**2 + 7*x + 6. Is 13 a factor of p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 m when four letters picked without replacement from mkmkmmmkkkkmkkkkkmk?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -0.11, -23, -2\/5, -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 29420 = 5*x, -2*x + 13050 - 1282 = z. What are the prime factors of x?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-5))\/((-1)\/(-178)). Let d = y + 142. Let i be (-1)\/((-4)\/16) - 3. Which is the closest to -1\/3? (a) d (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06305391771 to six decimal places.\nAnswer: 0.063054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, 5, -3\/85?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*p - 21, 2*p + 2 = -688*i + 686*i. Solve 11 - 11 = p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 1799.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 17, -1, 5, -147, -3, -2 in ascending order.\nAnswer: -147, -3, -2, -1, 5, 17, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 219\/(-42))*200\/(-30) + 2. Factor -c - 3*b + 3\/7*b**2.\nAnswer: 3*(b - 8)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 p when three letters picked without replacement from {r: 3, n: 5, p: 7, c: 1}.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.56147, 4, -54, 3\/4 in descending order.\nAnswer: 4, 3\/4, -1.56147, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 134 - -262?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 5. Calculate k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593003 is divided by 14824?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*w - 26*w + 28*w)*(-3 + 6 - 4).\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 3 = -3*r. Suppose -4*t - 386 = -r*u, u + 2*t - 116 = -3*t. What is the remainder when u is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m + m - 5*m)*(-3 + 1 + 0) - 886 - 287*m + 1851 - 962 as c*m + f and give c.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*a + 2*b, -a - 1 = 4*b - 20. Suppose -a*m - 11 + 2 = 0. Let l = m + -1. Which is greater: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040741 to five decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - l - 3)*(-381 + 145 + 383 + 4 + 0 + 0 + (-5 + 4 - 1)*(1 - 2 + 3)).\nAnswer: -147*l - 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-9))\/(73\/(-15768)*48)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 at most 5193\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581979390 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3258*i. Let d(f) = f**2. Determine n(d(s)).\nAnswer: 3258*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 8) in base 14?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tii when three letters picked without replacement from {i: 2, t: 2, d: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10257986141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150120 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + y. Suppose 0 = -2*f - 4*a - 24, -2*f + 5*a - 7 = -1. Let j be 6*-1 - -3 - f. Suppose -j = -6*g + g. Give q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3 (c) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*b - 47. Suppose -4*y + b = -y. Is 86\/8 + (-3)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024778 to five dps.\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25602803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 25 - (2 + 0 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**4 + 256*y**3 + 4*y**2 - 256*y = 0. What is y?\nAnswer: -1, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i + i - i + (1 + 2 - 2)*(5*i + i + 0*i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 639 (base 11) to base 8\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 120*q - 2. Let j be m(1). Let v = j - 73. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2. Let b(z) = 7*z**2. Let s(a) = -3*b(a) - 5*x(a). Give s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuc when three letters picked without replacement from {c: 1, u: 2, q: 1, t: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -x - 7, -2*v + 2*x + 2*x = -10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnnc when four letters picked without replacement from oocpnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.29ms in microseconds?\nAnswer: 305290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**19\/((m**(3\/13)\/m)\/m))\/(m**(-1\/7))**(-38) assuming m is positive.\nAnswer: m**(1396\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (464\/(-24))\/((-75)\/(-9)) and 46\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -71. Let i be (-18)\/(-8)*x\/(-6). Let u be i*6\/(-72) - 6\/8. Which is the biggest value? (a) -3\/4 (b) 3 (c) u (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*z - 24, b - 4*z - z = 0. Let t(v) = 179*v**2 + 834*v + 7. Calculate the remainder when t(-5) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1273*u - 1269*u + 20 = 0. Let j(o) = -2*o - 5. What is j(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**4 + 600*w**3 - 49875*w**2 - 103850*w + 153120 = 0.\nAnswer: -176, -3, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 42 = 5*w, -4*a + w + 5 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4903285141 to the power of 1\/3, to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:00 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 287610.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -141, -139, -137?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4912257158.\nAnswer: 2, 4603, 533593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 785459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211919.7s to milliseconds.\nAnswer: 211919700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 + j**3 + 0 - 4*j**3 + 4*j + 3 + 0. Let g be k(-2). Solve -12 = r + g*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, l: 4, e: 1, y: 1, s: 5}. What is prob of picking 1 s and 1 g?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*1\/(8\/208). Suppose -5*d = -x*d + 488800. What is d rounded to the nearest one thousand?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10952465, 21904931, 32857397, 43809863?\nAnswer: 54762329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2504277 divided by 3.\nAnswer: 834759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13244316 divided by 31?\nAnswer: -427236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - b**2 + b. Let k be f(-2). Let l(m) = -m + 6 + 0 + k*m. Let c be l(-3). Solve w = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 - 2*s. Let i be j(2). Solve i = -h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9643917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -18, 32, 122?\n\"Answer: 20*x**2 - 50*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-319 + -2)*((-1342)\/33)\/61*(-7)\/(-14)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 27*a + 0*a**7 + 0*a**3 + 0*a**2 + 0*a**5 + 0 - 9\/28*a**8 + 0*a**6 - a**4. What is the third derivative of u(j) wrt j?\nAnswer: -2160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 - 114. Let q = 55 - z. Suppose -q*j + 97 = -29. What is the lowest common multiple of 9 and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -4 (c) -4\/747 (d) -3\/4 (e) 0 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 10. Put 4, -2, x, -1\/29 in decreasing order.\nAnswer: 4, -1\/29, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*h**3 + 517*h**3 + 1086*h**3 + 380*h**3 + 430*h**3.\nAnswer: 2988*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-330)\/(-27) + (-2)\/9. Let q = -7 + z. Solve -2*o + 7 = -j, 57 = q*o + 3*j + 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 85*z**3 + 280*z**2 + 305*z + 110. Let u(o) = 43*o**3 + 139*o**2 + 152*o + 56. Let r = -632 + 629. Let a(d) = r*v(d) + 5*u(d). Factor a(t).\nAnswer: -5*(t + 1)*(t + 2)*(8*t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666250.755 rounded to the nearest 1000?\nAnswer: -666000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-140)*(-40)\/(-24))\/(68\/(-714))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013765349 to 6 dps.\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((147\/(-588))\/((1\/(-1))\/28))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 1. Let j(u) = -u + 1. Determine -f(b) + 2*j(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktztztzjzkthzzzzttz. What is prob of picking 1 j, 1 z, and 1 k?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 52494655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + (sqrt(272) - (sqrt(272)*-1 + sqrt(272) + -1)) + sqrt(272) - ((sqrt(272) - sqrt(272)*-2) + -5))*3)**2 + -5*(1*(sqrt(272) + 0) + -5).\nAnswer: -20*sqrt(17) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 39*q**2 + 21*q + 41. Determine l(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35647750?\nAnswer: 2, 5, 142591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1355080350 to the nearest 1000000.\nAnswer: -1355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63 - 680*a**2 - 594*a**2 - 75*a**2 + 232*a + 60 wrt a.\nAnswer: -2698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 11*h + 12. Let y be b(-6). Let w = y + -23. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/85134 and -41\/30.\nAnswer: 425670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 r, and 2 s when four letters picked without replacement from essrjsjjsjsj.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1448d - -5?\nAnswer: -14488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2 + 17 + 120\/(-12)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 97*q**2 - 460*q + 1387. What is h(3)?\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40410, -40459, -40496, -40515, -40510?\nAnswer: -40475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 35 (b) -0.2 (c) -2\/83 (d) 0.021 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-seven halves of a microsecond?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166805, 669095, 1506251, 2678279, 4185185, 6026975, 8203655?\nAnswer: 10715231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 982.29 kilometers?\nAnswer: 982290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 8*q**2 - 58. Calculate b(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.017309 * 0.2.\nAnswer: 0.2034618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040 = 106*g - 433 - 1071. Calculate the remainder when 2830 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2176851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 12*c + 8. Let u be n(6). What is the common denominator of ((-876)\/u)\/((-3)\/2) and -57\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 750187\/213 + -10568\/3. Let h = -46606451\/4 + 26472461457\/2272. Let l = w - h. What is the common denominator of -43\/12 and l?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3 - 11416*f**2 + 159236*f - 556640 = 0 for f.\nAnswer: 7, 2840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**3 - c - 1. Let z be r(-1). What is the second derivative of 7*b + 19*b**z + 18 - 18 wrt b?\nAnswer: 228*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ormi when four letters picked without replacement from {o: 2, i: 3, m: 6, r: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 0*y + 2*y)*(-2 + 2 + 4*y)*(9*y**2 - 1245 + 2*y**3 + 1245).\nAnswer: -16*y**5 - 72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwywuwuywtyywwtwwt. Give prob of sequence uyw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/9672 and -11\/1860?\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4674 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/((c**(-7\/8)\/c)\/c)))\/c)\/((c\/c**(-6))\/c))**(2\/29) assuming c is positive.\nAnswer: c**(-79\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 2*y**2 + 3*y.\nAnswer: -y*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 11:05 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -25, -4, 2, 5 in decreasing order.\nAnswer: 5, 2, -0.1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7))**(6\/23)\/(d*d**(-1\/9)\/d*d\/d**3) assuming d is positive.\nAnswer: d**(59\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53189, -67982, -82777, -97574, -112373, -127174, -141977?\n\"Answer: -b**2 - 14790*b - 38398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r - 370 = 74 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 109 + 17. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 5*v**3 - 8 + 4*v**2 + (-69*v + 69*v + 3*v**3)*(-4 + 3 - 1).\nAnswer: -v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 = 50. Suppose -4*s + 2*r - 8 = 0, 3*s = -3*r - 8 - i. What is the remainder when (-278)\/(-6) - s - (-2)\/(-6) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-3)\/(-9)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 992 and 868.\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2760.\nAnswer: 1\/552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(700) + (sqrt(7) - (1 + sqrt(7))**2)*-5 - (sqrt(175) - sqrt(175)*-1 - (sqrt(7) - (sqrt(7) + -3 + sqrt(112) - sqrt(7))**2)).\nAnswer: -81 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 3*u + 4*u + 17 = -21*f + 17*f, u + 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -449 + 864. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3176872 is divided by 1566.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 - 2*q**2 + 8*q + 8. Determine r(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-42)*(-1715)\/105?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 29. Suppose 4*z - 8*z + 5*k = 28, -3*z - 18 = -a*k. Let j be (100000\/2)\/(z\/(-16)). Round j to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33272 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - a)*(5 + 1 - 5)*(3859 - 3859 + 154*a**2).\nAnswer: -154*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -70. Calculate the least common multiple of 3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 513*o - 515*o - 26, -5*u + 59 = o. What is the lowest common multiple of 9201 and u?\nAnswer: 36804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73702762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9534438 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21869, -21902, -21949, -22016, -22109, -22234, -22397, -22604?\nAnswer: -22861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - f = -43, j + 2*f - 58 = 5*j. Let u = 10 + j. Let s = -2 - u. What is the highest common factor of s and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3653 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -310*y + 4040 + 165*y**2 - 461*y**2 + 3688 + 289*y**2 wrt y?\nAnswer: -14*y - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78968, 79782, 80592, 81398, 82200, 82998, 83792?\nAnswer: 84582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.672 - -0.072. Let g = 0.531 + -4.531. Put -2, c, g in descending order.\nAnswer: -2, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6\/(-6))\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 993999.12 to the nearest one thousand.\nAnswer: 994000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z. Let h(t) be the second derivative of -t**3\/2 + 8*t - 1. What is i(h(a))?\nAnswer: -45*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 8) in base 14?\nAnswer: -28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -12214?\nAnswer: 12212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + 3*sqrt(605) + (sqrt(605)*-3 - sqrt(605)) + sqrt(605) + -4 + -3)**2 + -2.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, w: 2, y: 2, i: 3, h: 2}. Give prob of picking 4 a.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbcubqc. Give prob of sequence cuq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccczzzzczcccz. Give prob of sequence zcz.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f - 5. Suppose 23*x = 1065 - 1157. Determine m(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:51 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-5 - 4) + 23 + 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17082)\/1314*64\/(-26)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 + -0.04. Let x = 13 - 8. Suppose -x*z = -z. Sort q, 1, z in increasing order.\nAnswer: q, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1 + x + 1 - 2*x. Let w(r) = r**3 - 6*r**2 + 10*r + 5. Let h(f) = 5*u(f) + w(f). Let z be h(5). Solve o - 2*o + 6 = -z*k, -2*k = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*r = -5*v + 24, -r = -3*v - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.03005 millennia in decades?\nAnswer: 4103.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 40*i**5 - 12*i - 10*i - 43*i**5. Let w(x) = -5*x**5 - 44*x. Let o(z) = 7*t(z) - 3*w(z). Find the second derivative of o(n) wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*h - 71*h - 228 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*o + 32138, -60461 = -5*h + 2*o + 19881. List the prime factors of h.\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + -1 + -9 + (170 - 155) + 1.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 992196 divided by -82683?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 3*y**2. Let c(n) = -20*n**3 + 9*n**2 - 72. What is -c(j) + 3*m(j)?\nAnswer: 17*j**3 + 72","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1409, -2851, -4291, -5729, -7165, -8599, -10031?\nAnswer: -11461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/sqrt(128) - sqrt(44))*2*6.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 97. Let n = z + -18. Let t = n - 20. Sort -2, 8, -4, t in increasing order.\nAnswer: -4, -2, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 30, 51, 86, 141?\n\"Answer: f**3 - 2*f**2 + 12*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*c + 5*c - 428, 0 = 3*c + 5*h - 642. Find the common denominator of 18\/6 - 195\/(-6) and c\/(-57)*1*(-2)\/(-8).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15 + 32 - 25*w + 18*w + 14*w. Let j be h(-6). Suppose -f = -0*f + 4*g - 198, 0 = 2*f - j*g - 409. Does 31 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 12402.\nAnswer: 2480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y = 56582 - 56638 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17160 + 17178. What is the lowest common multiple of z and (-7 + 0)*(-90)\/7?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 997*a = 1384*a + 1345908600. What is a rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:42 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**13\/(y\/(y*y**(-1\/2)*y))**(2\/17))\/((y*y**(-3\/5)\/y)\/y**3*y**0\/((y\/y**0)\/y*y)) assuming y is positive.\nAnswer: y**(-1814\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000110110100011 (base 2) to base 13.\nAnswer: -132522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 9.1 (c) -123 (d) -14 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(12)\/sqrt(6))*-6 - (sqrt(200) + 1).\nAnswer: -10*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790236?\nAnswer: 2, 11, 108869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7283 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*sqrt(44)*1 - (sqrt(33)\/sqrt(3) + 0 - (3 + (sqrt(66)\/sqrt(6))**2)).\nAnswer: -13*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -52697.\nAnswer: 26348.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*h**5 - 94*h**4 - 208*h**3 - 86*h**2 + 36*h = 0. What is h?\nAnswer: -9, -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 1. Let h = 3.7 - 2.7. Let p(o) = o**3 + 14*o**2 + 32*o - 11. Let g be p(-11). Which is the closest to h? (a) -6 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, d: 2, g: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-2)\/8 + -8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/5 (c) -2\/165 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9685699 hours?\nAnswer: 58.114194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35492393635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66169.74 nanograms in micrograms?\nAnswer: 66.16974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -664*m - 36. Let z(d) = -2*d**2. Calculate g(z(q)).\nAnswer: 1328*q**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9820985 is divided by 9820973?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 11*x**3 + 0 + 26*x**2 - 26*x**2 in the form t*x**3 + j*x**2 + i*x + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -46*a**2 + 2*a. Let v(l) be the first derivative of 92*l**3\/3 - 5*l**2\/2 - 3948. What is -5*h(d) - 2*v(d)?\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110111000 - 1001001101101001?\nAnswer: -1010011100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**4\/24 - i**3\/6 - i**2. Let r be (16 - (-488)\/(-32))*-8. Let d(s) = s**2 - 8*s - 6. Calculate r*a(l) + d(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5669\/8 + -504829\/712. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 195677558\nAnswer: -391355116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-33136)\/1216*(-4)\/5 - 20\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, -279, 3, -5 in descending order.\nAnswer: 24, 3, -1, -5, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2074050 divided by 66\nAnswer: -31425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5358)\/(-8) + 14\/14. Let x = q - 663. What is the common denominator of x and 29\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -53. Let f(h) = 10*h**3 + 39*h**2 + 18*h - 19. Let m(g) = -20*g**3 - 77*g**2 - 34*g + 37. Let b(a) = p*m(a) - 7*f(a). Find t such that b(t) = 0.\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/180 + i**5\/30 + i**4\/9 + 11*i**2. Let o(n) = 0. What is n?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372 = -62*n, 2*m = 3279*n - 3273*n + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -11. Let r = -9 - -15. Let k = r - c. What is the smallest value in k, 1\/3, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxu when three letters picked without replacement from {u: 4, g: 3, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 150 = -25. Solve 0 = -5*u + 25, -3*p = 5*u - 3*u - d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*g + 15*g + 12*g + 14*g + 27*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2056 (base 9) to base 14.\nAnswer: -79b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-24)*16\/(-42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + sqrt(243)*-2 + 4 + 2.\nAnswer: -9*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144.23 tonnes in kilograms?\nAnswer: 1144230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1413 in -3\/5, 2, -70?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 12790?\nAnswer: 3069.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/31, 1\/10, -2\/23, -2, 1 in ascending order.\nAnswer: -2, -6\/31, -2\/23, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j**2 - 18*j - 4*j + j**3 + 21*j to the form d*j**3 + h*j**2 + v*j + q and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 10 = -70. Suppose -2*q - 11 = -3*d, 2*q = 3 - h. Solve d*n - 3*t + 6*t = -6, -17 = n - 4*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*s + 0*s - s)*(-14*s - 32 + 32).\nAnswer: 56*s**2 + 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -v - 14, 2*q - 10 = -2*v. Suppose -q + 0 = -a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*l - 74*l - 12*l)*(-3 - 1 + 8)*(2*l - 4*l + 3*l) in the form u*l**2 + x + v*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/72 and 79\/666.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 245 + -249. Let l(s) = -22 + 9 - 70*s + 15. Is l(o) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4214 + 4*t - 1361 - 1317 - 1305.\nAnswer: 4*t + 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:03 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99) - (2 + sqrt(11) + 1)) + -2.\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 4*l**2 + 2. Let v be d(4). Suppose v*q - 3*c - 4 = -2*q, -q = 2*c - 12. Solve -q*h + 2*h - 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5294, 10, 4, 3, 0, 17 in descending order.\nAnswer: 17, 10, 4, 3, 0, -5294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.96 + -0.04. Suppose 0 = -8*b + 5 - 21. Let m be b\/3 + (-5)\/(-15). Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/5 - j**4\/12 - j**3\/3 + j**2\/2 - 3*j. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(324)*-2)\/(sqrt(900) + (sqrt(900) - (-1*sqrt(900) + sqrt(900)))))\/(sqrt(300)*-3 + -2*sqrt(192)).\nAnswer: sqrt(3)\/230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 16*p + 20 = 0. Solve -s - 2*b - 9 = -6*b, p*s = 2*b - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136\/(-8)*(-4 + 0) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74.9 + -35.3. Let c = 48 - 8. Let v = z - c. Sort v, -0.3, 0.\nAnswer: v, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101.128 - 9.128. Is -2 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 444820*i - 4892537. What is f(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33.82293 hours?\nAnswer: 2029.3758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, -6, -16\/9, 0.4, 8\/3, -2\/7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11*z**4 - 21*z**3 - 30*z**2 - 10*z + 10. Let k(w) = 23*w**4 + 43*w**3 + 62*w**2 + 21*w - 21. Let s(f) = -21*b(f) - 10*k(f). Factor s(r).\nAnswer: r**2*(r + 1)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t - 7. Let a(v) = -4*v - 6. Let c(i) = 7*a(i) - 6*k(i). Let y(u) = 11*u**2. Determine y(c(j)).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15019858*d**3 + 2*d**2 - 39100310 wrt d?\nAnswer: -90119148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**9\/7560 - p**7\/840 + 5*p**4\/3 - 3*p. Let x(d) be the third derivative of m(d). Find the third derivative of x(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15491.06561 to the nearest 10.\nAnswer: -15490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7\/46*3168\/(-5544)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289944 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - o**3 + 0*o**3 + (-4*o - o**2 + 4*o)*(-3 + 0 + 0 + 3*o).\nAnswer: -2*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 36. Let r = 22 + d. Solve r = 2*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220 - r**3 + 148 - 2*r**3 - 23 - 495 + 150.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7. Suppose x = 4*w - 9*w + 155. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = p + 2*g, 100 = 5*p - 4*g. Is (3 + (-69)\/(-12))*p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132.4 + 132. What is the biggest value in 2, -31, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 473*o. Let p(v) = 2*v**2 + 475*v. Give 6*d(m) + 5*p(m).\nAnswer: -2*m**2 - 463*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 3*c - 19 = -8*o, 0 = 3*o - 2*c - 4. Put 5, 2, 37, o in increasing order.\nAnswer: o, 2, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032172000 rounded to the nearest one million?\nAnswer: -1032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-55) - (-139)\/(-33) - -5.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-32)\/(-18) - 1) - (-1203720)\/(-5764959).\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 20*s**3\/3 + 295. Let u(r) be the first derivative of -r**3\/3 + 1. Determine u(h(j)).\nAnswer: -400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-416)\/72 - (122\/(-18) + 7). Which is bigger: v or -138\/19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -15. List the prime factors of 3 - -17*(2 - j).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/3, 0.4, 275?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2021 - 64679\/32. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 389 = -5*p, -3*o + 0*p + 4*p = -292. Suppose 3*z - o = -y - 36, -2*z + 2*y + 32 = 0. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0336 + 287.9664. Let x = w - 272.9. Let d = x + -15. Which is greater: d or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*b + 53, 0*b = -3*b + 4*r + 85. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -23 - 20) + (1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-392)\/(-5733) - (-14)\/(-63). Put -6\/31, 2, -5, o, -4 in descending order.\nAnswer: 2, o, -6\/31, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7562 + 7562. Solve y - 9 + 12 = z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/348 and -17\/6?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.59041 from -30.\nAnswer: -40.59041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -302b9 + 3?\nAnswer: -302b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -7*t**3 + 39*t**2 + 24*t - 2. Suppose f(j) = 0. Calculate j.\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhbb when four letters picked without replacement from bbbh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -45, -63, -77, -81?\n\"Answer: h**3 - 7*h**2 - 2*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10475770 to the nearest 100000.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 1 + (5 - 3 + 0)*(0 + 1 + 1))*(3 + 2*x + x + 0*x) as d*x + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1585.02 - 1585. Sort 0, c, -5.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*c**2 + 1\/10*c**4 - 1\/5*c**3 + 0*c.\nAnswer: c**2*(c - 4)*(c + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -56, -148, -318, -590, -988, -1536, -2258?\n\"Answer: -4*m**3 - 3*m**2 - m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x, 2*c - 6*x + 3*x = 40. Solve 5*v - c = 3*y, 5*v = 4*v - 5*y + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 13. Let n be -6 - -5 - (0 + 3*-1). Let l be (-3)\/((-15)\/n) - 224\/385. Put u, l, 5 in decreasing order.\nAnswer: u, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003470176 to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57.046 - 57. What is l rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1648, -3321, -4994, -6667, -8340?\n\"Answer: -1673*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20350*j + 20347*j + 2*n + 5 = 0, -20 = j - 5*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*3\/13. Let u = v - -7\/52. Suppose -3\/4*w - u*w**2 - 1\/2 = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 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: Solve -5*a - 7 = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o, -o - o + 5550004 = 5*b. Round b to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1963 - 2797 = -17*n. Calculate the highest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3985343892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023874 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -8. Suppose 5*q = 3*q + t. Suppose -2*n + p = n - 81, -108 = -4*n + q*p. Is n not equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -5\/8*s**4 + 13\/4*s**2 - 3*s - 1\/3*s**3 - 2. Factor n(k).\nAnswer: -(k - 1)*(k + 2)*(5*k - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 1378 - 1463 = -3*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271469?\nAnswer: 3, 423823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2379*d. Let p(f) = 5*f**2. Give l(p(a)).\nAnswer: -11895*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 2748120.\nAnswer: -8244360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2759, -2735, -2695, -2639, -2567?\nAnswer: -2479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*w - 503*w = -1016*w - 459 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:41 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*q = -2335 - 2791 + 974 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15 - 18*q + 11*q + 4*q - 37*q. Calculate the remainder when 146 is divided by f(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 41*t**2 + 82*t - 116. Let v be x(39). Let y be ((-64)\/v)\/((-16)\/64). Factor 2\/5*k**2 + 16\/5*k + y.\nAnswer: 2*(k + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-32)\/48).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**4\/2 + 3104*p**3\/3 - 913*p**2\/2 - 4*p + 5454. What is the second derivative of z(c) wrt c?\nAnswer: 12*c + 6208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2412143 + 2240?\nAnswer: -2404403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/120 + g**5\/4 + 13*g**4\/24 - 7*g**3\/3 + 17*g**2. Let s be d(-14). Solve -2*u - l - 3 - 6 = s, 21 = -5*u - 2*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 22. Suppose 5*g - m = 7. Let n be (72\/45)\/(2\/g). Which is the biggest value? (a) -3 (b) n (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*u + 134 = -417, -5*u + 935 = 5*j. Let h(c) = 46*c + 19. Calculate the remainder when j is divided by h(1).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998.293 kilometers in millimeters?\nAnswer: 2998293000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 1 - (3 - (6 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (445\/10)\/1*2. Let z = w - 75. What is the remainder when 26 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 87?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9.5 (b) 11\/5 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9 (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19129520 rounded to the nearest one hundred thousand?\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.22 in 4, -10, -6\/11, 91?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {i: 1, f: 1, w: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 0*u**5 + 0*u + 0*u**2 - 15 - 1\/3*u**6 + 0*u**4 + 6*u**3. Find the third derivative of w(l) wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*h + 5*l, h - 24 = -2*h + 2*l. What is the greatest common factor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 2. Let d(k) = -62*k + 2. Let v(g) = -10*b(g) - d(g). What is the first derivative of v(p) wrt p?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -68*v**3 + 8*v**2 + 5*v - 5398. Let x(u) = 73*u**3 - 10*u**2 - 5*u + 5397. Let g(b) = -5*j(b) - 4*x(b). Find the first derivative of g(m) wrt m.\nAnswer: 144*m**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y + 71. Let m(p) = 2*p + 1. Give -b(q) + 4*m(q).\nAnswer: 4*q - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {v: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxgnnwn. What is prob of picking 3 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(832))**2 + sqrt(832))*5.\nAnswer: -21025 - 1160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 359379a?\nAnswer: -3593799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2. Let f be (2 - 4)\/(-1) + 0. Let u(b) = f*b + 5 - 5. Calculate k(u(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3343478 divided by 2\nAnswer: -1671739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254 (base 7) to base 16.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 4567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-10))\/((-11)\/(-5))*(-1606)\/584. What is the closest to -2 in d, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 66\/9*-9. Suppose -b + 35 = -3*y, 6*y + d = 2*b + 2*y. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 1101, 1651, 2201?\nAnswer: 2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/429?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*b - 18, 21*z = 3*b + 17*z - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54404 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2729*r - 28061 = 178*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:41 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 80*v + 91 + 59 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 350 - 356. What are the prime factors of 957 + 1 + (2 - (f + 8))?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961 + 63 - 74 = 175*l - 625 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -13*k - 1. Let f(y) = 2*y - 4. Let z(w) = 10*w - 18. Let u(x) = -9*f(x) + 2*z(x). Calculate a(u(n)).\nAnswer: -26*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 = -0*b. Suppose 2*s - 5*s + 58 = 2*d, 2*s = -2*d + 42. Let g(z) = -s*z + 6*z + 6*z. Give g(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391319053 less than -630?\nAnswer: -4391319683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**8\/84 - 24*s**7\/35 - 26*s**6\/5 - 32*s**5\/3 - 3*s**2 - 1. Solve q(k) = 0.\nAnswer: -2, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 7. Let z(b) = 15*b + 17. Calculate 6*w(c) - z(c).\nAnswer: -3*c + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15168, 15166, 15164, 15162, 15160, 15158?\nAnswer: 15156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 2*z**4 + 13*z**3\/3 - 14. What is the third derivative of x(n) wrt n?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 1 s when three letters picked without replacement from {s: 6, l: 3, h: 1, y: 1, a: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -843934 divided by 26.\nAnswer: -32459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/(-768))\/((2\/(-3))\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = -3*o. Let g = -6 - o. Suppose -2*l - j = -1, g*j + 5 = l - j. Solve -l*p = 4 + 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/21)\/((-3900)\/(-4680))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 7987010*i + 7987012.\nAnswer: -2*(i - 1)*(i + 3993506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 0*q**2 + 4*q**2)*(-1156*q + 345*q + 91 - 636*q - 91).\nAnswer: -1447*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*j**4 + j**2 - 1112*j + 49933?\nAnswer: 48*j**3 + 2*j - 1112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194266705 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -4, -10 in descending order.\nAnswer: 6, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 - (-28)\/6. Let a(y) = -2*y**2 - 5*y + 4. Let c(v) = -3*v**2 - 7*v + 6. Let h(d) = o*c(d) - 7*a(d). What is the first derivative of h(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5\/(-60)*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 98\/5, -7, -8, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l + 22 + 6 = 0. What is the second smallest value in l, -0.5, 23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/6)\/(-3)*(-104)\/156. Let l(o) be the third derivative of t*o**3 + 11\/24*o**4 + 0 + 0*o + 1\/12*o**5 - 7*o**2. Find n, given that l(n) = 0.\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g + 65040 = 427560. Suppose 62*v = 74*v - g. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/3 - 4 - -2. Suppose t = 2*d - 4 - 2. What is the tens digit of (6\/(-4))\/(d\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -442 - -8396\/19. Sort 2, n, -1\/12, -5 in decreasing order.\nAnswer: 2, -1\/12, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 195985324 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0 - (100 + -93)) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177835.63328 + -0.133.\nAnswer: 177835.50028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 623203280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(200) - (1 + sqrt(200))**2) + 4.\nAnswer: -197 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*s - 216 = 309*s. Solve -s*l = -31*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f + 45. Let t be i(7). Suppose t*j = 22*j + 57. Sort j, 3, -6, 1 in decreasing order.\nAnswer: 3, 1, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3 + 740860*l**2 - 68609192450*l = 0. Calculate l.\nAnswer: 0, 185215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 191 (c) -2.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9210822.\nAnswer: 2, 3, 1535137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2 (c) -2\/5 (d) 0.4 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 151*j**7\/15 - 697*j**3\/2 + 25*j**2 + 39. What is the derivative of l(f) wrt f?\nAnswer: 8456*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, f: 2}. What is prob of sequence fkf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9)**(4\/35)*d**(-4\/9)\/d**(-5) assuming d is positive.\nAnswer: d**(1759\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*s = -42, 2*c + c - 107 = -4*s. What is the remainder when 184 is divided by c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119996, 239985, 359976, 479969, 599964, 719961?\nAnswer: 839960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -550 at least -548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -3\/2 (c) 0.3 (d) -1 (e) -863 (f) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*12\/(-112))\/3.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + -0.49. Which is the closest to 0? (a) o (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -55*k**3 - 5*k**2 + 38*k - 7. What is the thousands digit of a(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91686 + 91687 - 89*a**2 - 183373 + 75*a**2 - 274*a**2.\nAnswer: -288*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (949\/(-91) - -10)\/(1 + (-7)\/14).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4001383152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.124 or -142?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0*f**3 - 3*f**2 + 1\/8*f**4 + 0 + 0*f. Let v(m) = m**2. Give v(d(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 892, 1753, 2584, 3385, 4156, 4897?\n\"Answer: -15*y**2 + 906*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/55*(-48)\/(-18).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -53. Let b = -288 - -270. Let s = b - h. Sort 0.3, 1, s.\nAnswer: 0.3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:58 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 6*t + 10. Let r(v) = -v**2 + 5*v - 11. Let o(w) = 4*l(w) + 3*r(w). What is o(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b + 0 + 10\/3*b**3 - 8\/3*b**2.\nAnswer: 2*b**2*(5*b - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -9\/7, -0.5, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p + 2*p)*(-1 + 0 - 1) - 5*p**2 + 44*p**2 - 33 + 31.\nAnswer: 41*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(-4 + 2*(-2 + sqrt(28))) + -3.\nAnswer: -99 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**3 - 848 + 850 - 4*h + h to o*h + b + g*h**2 + a*h**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose 0*h = -q*h + 52. Let m(n) = 2*n**2 + 3*n - 4. Let c(r) = -9*r**2 - 13*r + 17. Let w(t) = h*m(t) + 6*c(t). Differentiate w(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 2.06. Let f = 99 - 193\/2. What is the third biggest value in h, f, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 3*y - 2*y + 4*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*n - 7939 with respect to n.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 19*w - 8. Let z be x(16). Let l = -51 - z. Solve -3*k = -l + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 111, 286, 729, 1584, 2995, 5106?\n\"Answer: 24*u**3 - 10*u**2 + 37*u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 25575 = -5*x, h + 13244 = 4*x - 7216. Suppose 5*u + 2*j + 0*j = x, 5*j = -3*u + 3069. What are the prime factors of u?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13106 is divided by 2460?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*h**3 - 2*h**3 + 5*h**3 - 4*h**3 + (h**2 - 5*h**2 + 2*h**2)*(-2*h + 0 + 0) - h**3 + 3*h**3 + h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-83855568)\/(-912) - (-4)\/38 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/24 + u**3\/3 - 3*u**2 - 10*u. Factor t(z).\nAnswer: (z - 2)*(z + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7 and 18.257?\nAnswer: 17.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -6, 5, -1842, 1 in increasing order.\nAnswer: -1842, -10, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 - 20\/30. Let h be 324\/(-9)*(-1 + n). What is the highest common divisor of 54 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -881.178 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z + 27. Let n be w(5). Which is the smallest value? (a) n (b) -4\/7 (c) -3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 4a7926?\nAnswer: 4a7938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 2\/135, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1377)*4 + 3 - (((sqrt(2754)\/sqrt(2) - sqrt(17) - sqrt(17)) + sqrt(17))**2 + 2)).\nAnswer: -6522 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-15 + 14 + 6)) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264023?\nAnswer: 83, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.439937kg?\nAnswer: 6439937000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.7 - 38.11. Let v = i + 0.409267. Round v to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) 1.21 (c) 3\/4 (d) -5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-1))\/((2\/654)\/(-1)). Suppose -5*r + 0*r = i - o, -55 = -r + 5*i. Let l = -46 + r. Calculate the remainder when 34 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -382537 + 802537. What is b rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 24*u - 56. Let z be g(21). Let b(o) = o. Let m be b(1). Solve -m - z = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52486509347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -34. Solve -4 + 0 = c*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*r**4 + 21383*r**3 - 2*r**2 - 2721507 wrt r?\nAnswer: 2472*r + 128298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -218.6 + 7.6. Let z = -211.283 - u. Round z to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3416 - 875*p + 3416.\nAnswer: -875*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*i + 3 + 18 = 0, -i + 7 = w. Suppose -g + 39 = w*g. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373394 divided by -373394.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5 + 28\/10. Suppose -162 = 12*t - u*t. Is 27 a factor of -54*(t\/4 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/332992 and -125\/19558?\nAnswer: 296029888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(539) - (sqrt(539) - -1*sqrt(539)) - sqrt(539)) + -5 - (sqrt(539) + -2 + sqrt(539) + sqrt(539) + 5)) + -6*(3 + 0 + sqrt(539) + 5))**2.\nAnswer: -273420 - 34496*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 + q + 3. Let x(n) = -n**3 + n**2. Determine w(d) + 5*x(d).\nAnswer: -5*d**3 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from ddlaaala.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(4212) + 4 + 2*sqrt(4212)*5)*-1)**2.\nAnswer: 2376*sqrt(13) + 509688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 5*i - 5. Determine q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2504894\/94300515 + 39\/39539. Calculate the common denominator of 167\/360 and k.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 - 2*h + 6. Let f be ((-11)\/33)\/(1\/(-12)). Suppose f*j - 14 = 10. What is the tens digit of g(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l + 6. Let a be s(3). Let v = 29 - a. What is the units digit of ((-4)\/v)\/((-10)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3 + 15464*g**2 + 3032469*g + 149622066 = 0 for g.\nAnswer: -15266, -99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.527, 274, -27\/2, 1\/9?\nAnswer: 0.527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(3\/2)*q*q)\/q*q*q)\/q**6)\/(((((q**(-4\/7)*q)\/q*q)\/q)\/q*q)\/q**9))\/((q\/(q\/(q*q**(3\/7))))**(6\/11))**20 assuming q is positive.\nAnswer: q**(-1465\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = -4. Suppose -v = -5*w - 14, 0*v + v - 4*w - 14 = 0. Suppose -2*o = -0*o - v. What is the remainder when o is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2356346\/5, 0.3, 0 in decreasing order.\nAnswer: 0.3, 0, -2356346\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-1)\/((-2)\/(-4)). Let u be 27\/(-36)*(-4)\/6*2. Sort -6, u, h in ascending order.\nAnswer: -6, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - l + 61, -3*l + 0 = 2*c - 43. Solve -2 = -3*g - c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 370*t**2 + 1840*t + 4. Give w(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*l + h - 4, 3*l - 4*h = -17. Let o be (0 + l)*(0 - -5). Is 3 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m - 13*m**2 + 50*m - 85*m.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45217 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 3*i - i. Let y(v) be the third derivative of v**7\/90 - 19*v**4\/8 + 6*v**2 + 1. Let k(q) be the second derivative of y(q). Calculate k(p(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/4, -1\/69, 61, 2\/9 in descending order.\nAnswer: 61, 1, 2\/9, -1\/69, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.378, -3\/4, -4\/9, 12\/7, 0.3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2765\/3 + -923. What is the closest to 8 in -1\/3, v, 1\/2, -2\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 30. Let r be d(0). Let z be (r\/(-25))\/((-1)\/(-5)). Let l = z - 6. Is 2\/35 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9129 - 2*z - 9*z**3 + 9129.\nAnswer: -9*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -405, -918, -1643, -2586?\nAnswer: -3753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from gggggccggggcggg.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3841068 centimeters in meters?\nAnswer: 0.003841068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/(3\/(-2))). Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -17*q + 7. Give j(12).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1176500 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 186 and -2.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1561345 (base 11) to base 16\nAnswer: -28afa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 65*z - 16. Let c be l(-32). Let o be 0*(c\/(3 - -1) - 5). Let p = 2 + 3. Solve 2*x - x - f = o, 0 = p*x - 2*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -145.9\nAnswer: -102.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150 + 122. Let n = b + -30. Let m = n - -74. Sort 3, -5, m.\nAnswer: -5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 930*y**2 + 166941*y + 9. Calculate d(243).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = 22. Let o(g) = 6*g + 2*g + 9*g - d*g. Let c(l) = 9*l. Determine o(c(y)).\nAnswer: -45*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 33*l**3 + 68*l**2 - 17*l + 4. Let d(i) = -19*i**3 - 33*i**2 + 9*i - 2. Calculate -4*b(x) - 7*d(x).\nAnswer: x**3 - 41*x**2 + 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, -5, 6.\nAnswer: -5, 3, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r + 3*h + 56, 44 = 4*r - 2*h. Let k(d) = -d**3 - d**2 - 2*d + 4. Calculate the remainder when k(-3) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -59*t - 99. Calculate g(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 + 0.4. What is the second smallest value in v, -4\/3, -4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbxcm. Give prob of sequence dc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, -2\/11, -978 in ascending order.\nAnswer: -978, -17, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1308647557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2))**(-36)\/(c\/((c**(-10)\/c)\/c)*c**(-5)\/c) assuming c is positive.\nAnswer: c**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/5 + 26256*k\/5 + 7471134\/5 = 0. What is k?\nAnswer: -12837, -291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 757623 + -757603.99972. Let u = -23 + 42. Let m = q - u. Round m to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i*o**4 + 4*i + 2*o**6 - 2*o**3 + 61*o**2 wrt o?\nAnswer: -144*i*o + 240*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1281*k**4\/8 + 1077*k**3\/4 + 2763*k**2\/2 + 411*k + 12 = 0. Calculate k.\nAnswer: -2, -2\/7, -2\/61, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (168\/(-6))\/((-2)\/(-4)). Let a = h - -55. Let n = 115\/4 + -1717\/60. What is the smallest value in n, 4\/9, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 258, -5, 3\/7 in decreasing order.\nAnswer: 258, 3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/120 + 17*f**4\/48 - 4*f**3\/3 - 83*f**2. Factor w(y).\nAnswer: -(y - 16)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**8\/28 + q**7\/42 - 199*q**5\/20 + q**4\/12 + 641*q**3\/3 + q**2\/2 + 7195*q. Find the third derivative of r(m) wrt m.\nAnswer: 240*m**3 + 60*m**2 - 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:38 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f**2 + 36*f - 9. Let l be g(16). Suppose -5*a + 3925 = 6*t - t, 5*a - t - l = 0. Calculate the greatest common divisor of a and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*g + 60. Let f(v) = 18*v - 5. Is f(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 8. What is the units digit of (x - 2 - (-177)\/6)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Let j = -6 + s. Put 0, j, -1 in increasing order.\nAnswer: j, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 60614 and 60620 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927162 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 < -315\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -22.65?\nAnswer: 407.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 3, f: 3, t: 6, k: 1}. What is prob of picking 3 f?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 3*m + 48*m as z + t*m and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-1 - 2) + 0 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deq when three letters picked without replacement from ddwneqqqqq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55b00 + 236b?\nAnswer: 5816b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4780 + -3087. What is the remainder when h is divided by 241?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 6*r**4\/7 + 86046*r**3\/7 - 774756*r**2\/7 + 2066304*r\/7 - 196800 = 0.\nAnswer: -14350, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 3*u**5\/20 - 2*u**3\/3 + 25*u. Let c(r) = r**3 - r. Give -4*c(f) + 2*g(f).\nAnswer: 2*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402661479.\nAnswer: 3, 11, 173, 251, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -14.068. Let z = v - 61.668. Let k = 52 + z. What is k rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.20108ns in milliseconds?\nAnswer: 0.00003220108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 11*v + 3*v**2 + 11*v.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 27*p + 15. Let t be o(-16). Suppose -t*h = -192*h + 20. Solve 3*i = -3*m, -m - 2*m + i = h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 21*w**2 + 2*w - 2. Let c be a(1). Let j = 16 + c. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*f**4 - 3*f - 25?\nAnswer: -852*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 7*l**2 + 2*l**2 - 2*l**2 + 0*l**2 + 0*l**2 + (3*l**2 - l**2 - 3*l**2)*(3 - 3 + 1))*(-3 - 3 + 5)*(l + 2*l**2 - l).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 8*l + 9. Determine m(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(((-35)\/45)\/7). Suppose 2*p = 5 + q. Calculate the highest common factor of p and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.20635 - -0.70635. Let l = 2.03 + -0.03. Which is the closest to -1? (a) i (b) l (c) -16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**4 - 4*y**4 + y**4 + y**4 - y + y + 3*y**4 + 5*y**4 - 5*y**4 + (-2*y - y**3 + 2*y)*(-y + 2*y + 0*y).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -10. Let j be w\/20 - (-21)\/(-4). What is the units digit of -3 - j\/((-15)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o - 144. Let l = -48 - o. Which is the nearest to l? (a) 2 (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*r = 28, -2*f + 3*r = -56 + 75 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -81.8. Let i = 4.8 + r. Which is the nearest to -0.5? (a) -0.3 (b) i (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1314, 3, -1, 0, 181, -5 in increasing order.\nAnswer: -1314, -5, -1, 0, 3, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*v + 3*h - 4*h, -3*v + 13 = -2*h. What is the second derivative of u**5 - 2*u**5 - 17*u + v*u + 0*u**5 wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 34. Let h = k + 13.9. Are 7\/2 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744 + 2544 = 225*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 274*v - 4724*v - 2451*v - 24.\nAnswer: -6901*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((440\/(-132))\/(-5))\/(2\/93)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169593\/27 - 2\/45*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 76*i + 79*i - 232*i + 75*i + 6. Give x(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 18 = 7*x. Suppose x*a - 55 = -13. Solve -a*v + 3*v = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**7\/14 - a**6\/40 - 3*a**5\/10 + a**4\/8 + a**3\/2 - 3*a**2\/8 + 12*a. Find g, given that l(g) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17723?\nAnswer: 37, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -223261*i**4 + 3*i*u**3 - 8*u**3 + 8*u + 8357 wrt i.\nAnswer: -893044*i**3 + 3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 8 = 10*q. Let m be (0 + q + 3)*830156. Let g = -30156 - m. What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2716.464 * 7.\nAnswer: -19015.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = t + 5*p, t + 2*p = 2 + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 3*n**2 + 4*n + 4. Let a(o) = -2*o**3 + o**2 + 3*o - 1. Let x be a(2). Let s = x - -11. Let y be m(s). Solve -i - i + y = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 0*f)*(-72 - 1 + 25)*(24 - 24 - 13*f) + (-1 + 1 - f)*(3*f - 4*f - f) - 4 - 3*f**2 + 4.\nAnswer: -1873*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3243)\/329 + 32 - 2\/14.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109019, -109558, -110097, -110636, -111175, -111714?\nAnswer: -112253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 180\/27 - 7 - (-1947)\/6003. Is o greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 82\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -0*v - 0*v + 4*v - 0*v, 4*c = -3*v + 832 - 858 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4125458?\nAnswer: 2, 17, 67, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101100001010010 (base 2) to base 15.\nAnswer: -59589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 0) + (9 - 16) + -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atr when three letters picked without replacement from vyyttraatmvt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 101100532 (base 6) to base 2\nAnswer: 110100111011001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34b78 - -51?\nAnswer: -34b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - p - 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2 - 6. Suppose -2*p = -14 + y. What is the lowest common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2681*q - 2659*q + 5329*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42135390?\nAnswer: 2, 3, 5, 11, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-11*p + 0*p + 2*p) to the form m + i*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/2)\/(36\/48). What are the prime factors of (-996)\/(-15) + r\/((-100)\/6)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 6*h - 3*t + 388 = 255, -2*h - 7*t + 367 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 710 + -1191. Let s = -484.77 - v. Let a = s - -0.37. What is a rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32088 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -23. Suppose 3*k - 2*k = 8. Suppose -k*u + 4*u + 16 = m. Calculate the greatest common divisor of 12 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -13*c - 4. Let b be m(3). Let s(u) = u**2 - 16*u - 329. Let f be s(-13). Let h = b + f. Solve -h = 4*o - 9*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14727 is divided by 3681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12*2)\/(48\/18).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19408 - 19415. Sort 1, 6, 19, 2, m in decreasing order.\nAnswer: 19, 6, 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:16 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 447585*t + 569340?\nAnswer: 447585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19980 divided by 3996?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*s + i - 202, s + 4*i = -86. Suppose -5*p = 2*h + 752, 3*p - 79 = 4*h - 525. Let k = s - p. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6136?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z, -13*j + 5*j + 6*j - 19*z - 62 = -21*z for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/30 - (-3615)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351192091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-10)*92\/3381*-315\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -677 + 676. Suppose -2*k = -2*r + 72, -4*r = -3*k - 60 - 84. Let l be r\/22*2\/(-6). Put 0.2, j, l in increasing order.\nAnswer: j, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86969970 is divided by 179690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 = -0*l - 2*l, 4*l = -3*r + 86. What is the lowest common multiple of r and 376\/28 + -10 + 444\/42?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31115034 (base 6) in base 9?\nAnswer: 1615854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 21, 34359?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*m + 13, -3*m = 5*j - 2 + 5. Suppose m*x - 5*x = -2*n - 191, 704 = 4*x + 4*n. List the prime factors of x.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.91 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4*q + 195, 0 = -2*x - 3*x - 2*q + 311. Let y = -57 + x. Solve 5*b = y*a - 8, -a + 5 = 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5318398*o. Let h(k) = -8*k**2. Determine h(i(p)).\nAnswer: -226282858291232*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -2\/7 (b) -0.5 (c) -2.6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**8\/240 - f**7\/420 + 7*f**6\/360 + f**5\/60 - f**3\/2 + 2*f. Let v(k) be the second derivative of w(k). Factor v(p).\nAnswer: -p*(p - 1)*(p + 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 2\/15, 1\/17, 0.77806.\nAnswer: -4, -0.2, 1\/17, 2\/15, 0.77806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130902 - 3*n - 130902.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15788460 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59051 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 500 and 2793250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*g**3 - g**2 - 472 + 34*g**3 - 4*g - 142*g**3 - 34*g**3 wrt g.\nAnswer: -1122*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2630 - 70. Let y be b\/(-1*(-5)\/(-250000)). What is y rounded to the nearest 1000000?\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 6*v + 3. Let t be w(6). Suppose -2*b = t*a + 2*b + 14, a + 3 = -3*b. Let o be 3\/a*-2 + 2. Solve -2*s = o + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93829335.\nAnswer: 3, 5, 1489, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmlwhz. What is prob of picking 1 z, 1 m, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/((sqrt(80) + -2*sqrt(80) - sqrt(80))\/sqrt(8)) + -4.\nAnswer: -4 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(10)\/(sqrt(5)*-3))*6)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63093984?\nAnswer: 2, 3, 19, 34591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -448 - -472. Calculate the highest common divisor of 456 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - z - z)*(5 + 3 + 7) to the form r*z + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 53 + 1166 + 260 - 110 to j*z + r and give r.\nAnswer: 1369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 2*w**3 + 144 + 2\/5*w**5 + 140*w + 0*w**4 + 0*w**2. Differentiate u(l) wrt l.\nAnswer: 8*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(20)*-3)**2 + -3) + ((3 + sqrt(605))*-4)**2 + -3.\nAnswer: 1056*sqrt(5) + 9113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Let j = a + 8. Calculate the remainder when 24 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-8))\/a**(2\/65)*(a*a\/((a*a**3*a)\/a*a))**(-8\/13) assuming a is positive.\nAnswer: a**(703\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4*n**2 - 118*b**3*n**2 - 8*b*n + 82*n**2 wrt b?\nAnswer: 24*b**2*n**2 - 708*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 10*(-12)\/(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/18)\/(2\/3*(-13 - -12)). Suppose 2\/3 - 50\/3*f**3 - 22\/3*f + 70\/3*f**c = 0. Calculate f.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -47. What is the smallest common multiple of 5 and 0 + t + 14 + -13?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20759 + -20757. Let y(w) be the first derivative of 0*w - 1\/3*w**3 - 3 + 0*w**i. Let r(j) = -39*j**2. Determine r(y(d)).\nAnswer: -39*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/395 (b) -1 (c) -1.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-6))\/((-6)\/(-36)). Find the common denominator of ((-7)\/((-28)\/(-18)))\/l and -38\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 96 + 10*b**3 + (-13*b**2 - 10*b**2 - 9*b**2)*(b - 3*b + 3*b))*(-b**2 + b**2 - 2*b**2).\nAnswer: 44*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - b4639a?\nAnswer: -b463a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -8 + -2 + 13 + -5 + -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*h - 8. Let f(b) = -b + 2 - h*b + 3*b. Suppose 3*k + 3 + 3 = 0. Calculate f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*k + 9 = 0, -k = 3*r + 4*k. Suppose -z - 31 = -7*i + 1, i + 16 = -5*z. Put -3, 7, r, i in decreasing order.\nAnswer: 7, r, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 1\/5, 73, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216393 a multiple of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t**2 + 267*t - 8. Let a(f) = -30*f**2 - 535*f + 18. What is -6*a(g) - 13*l(g)?\nAnswer: -2*g**2 - 261*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -240 - -240 - ((2 - 2) + 2 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2836 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - ((1 - -11) + (94 - 93))) + 79 + -4?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let k = 0 + t. Which is the smallest value? (a) 0.2 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/15 + 3*j**4\/8 - 13*j**2. What is the second derivative of a(f) wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3213.9 and -1593696.\nAnswer: -1590482.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5380d4 (base 14) to base 5.\nAnswer: 1210422011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-74 + 102 - 36)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 100990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 5*f**2 - f - 1. Let b be t(5). Let p be 2\/(0 + (-3)\/b). Let d be 2*((-14)\/p)\/(-7). Sort -2, d, -3 in descending order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 18*x**2 + 5*x + 9. Let k = -23463 - -23461. Give f(k).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 1. Let q(n) = n**3 + 7*n**2 + 7*n + 4. Let g be q(-6). Let b(w) = -2*w - 6. Let k(v) = g*b(v) + 6*f(v). What is the tens digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 73) + -4 + (-6 - -33)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w = -2*j + 16, 0 = -2*j - 5*w + 37. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97996 rounded to 3 decimal places?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46, 2, 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 times -7455.04\nAnswer: -18637.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1056427996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**3 - 380*m**2 - 7920*m - 25920 = 0.\nAnswer: -36, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m - 3*m)*(-97*m**2 + 63457*m - 63457*m)*(0 + 3 + 2) to a*m**3 + t*m + j + n*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c*c**7)**33\/((c**1)**(2\/65)*(c**1)**39) assuming c is positive.\nAnswer: c**(16768\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -4 - 0) + -9 + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -274, -502, -958, -1720, -2866, -4474, -6622?\nAnswer: -9388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 290375 to the nearest 1000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1)\/(2 + -3). Suppose -x + 5*k = -3*x - 2, 4*x - k - 18 = r. Sort x, 3, 0 in increasing order.\nAnswer: 0, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1232655604 + 3?\nAnswer: 1232655607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {y: 9, x: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 106741\/16*12\/10. Let m = 8005 - s. Calculate the common denominator of 1855\/(-140) + -3 + 19 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 6*o - 3. Let y be h(4). Let v(b) = -11*b + 1. Let z be v(-5). Let q = z + -25. Solve -2*a + y*d = -5*a - q, a = -5*d - 27 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 3*x**3 - 4*x**4 + 2*x**3 - 5 + 5 as b*x**3 + w*x**2 + f*x**4 + d*x + h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 418.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 732 and 182976?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 96. Suppose 0 = -a - 5*w + 2269990, 4*a - 5*w - 3023489 - 6056521 = t. Round a to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -32991\nAnswer: -98973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 10)\/(-4)*-1 - -4. What is the second smallest value in g, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 3)\/(1 - -1). Let b = c - -4. Suppose 0 = -b*k - 4*n - 16, 3*k + n + 8 = -3. Let y(j) = -j**3 - 5*j**2 - 2*j + 3. Determine y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2759, 5461, 8115, 10727, 13303, 15849?\n\"Answer: u**3 - 30*u**2 + 2785*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17720 = -2*x + 4*i, -3*x - 5641 + 32201 = 4*i. List the prime factors of x.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 0 + 0 + (-k - k + 0*k)*(-k + 1 - 1) + 4*k**2 + 3*k**2 - 2*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*d**3 - 32349*d**2 - 4044*d.\nAnswer: 3*d*(d - 1348)*(8*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-5 + -23 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**2 + 0*f**6 + 0*f**3 + 0 + 2*f + 0*f**5 + 1\/4*f**4 + 3\/56*f**8 + 0*f**7. Find the third derivative of h(o) wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2411 + -1061. What are the prime factors of q\/125 - 1\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 7*c - 2*c. Solve 0 = -3*f + a - 10, 4*f + a + c = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*f - 22 - 21, -31 = 3*f + 2*k. Let l = -41\/3 - f. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-45)*(-594)\/12*2*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -60*r**3 + 9361*r**2 - 153*r - 462. Let o be c(156). Let y(v) = 3*v - 6. Let u be y(4). Solve -4*p = -o*p - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1486368 and 127\/619320.\nAnswer: 7431840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3810.95 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = 7. Let k = r - 2. Calculate the greatest common divisor of k and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10714 and 58959629.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let u(y) = y**3 + 3*y**2 + 2*y + 2. Let p be u(-2). Let v(k) = 3*k**2 + 0*k**p - k**2. Determine z(v(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -o + 55630997, 166892997 = 3*o - 41*j + 40*j. What is o rounded to the nearest one million?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14250?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -548*m + 48708. What is g(87)?\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -96377.59322 plus -30927?\nAnswer: -127304.59322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 26665 times -83.98\nAnswer: -2239326.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 91 = -58 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38901398*a**4 + 330305*a**2 + 58*a?\nAnswer: -933633552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*b - 111 = -2*t, 5*t - 107 = -b. What is the greatest common divisor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12293 and 8246.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160838498.548718 take away -2?\nAnswer: 160838500.548718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 35*k**3 + 21*k**2 - 21*k + 21. Let j(t) = 7*t**3 + 4*t**2 - 4*t + 4. What is 4*a(y) - 21*j(y)?\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmmmmcmccmmmccmmccc. Give prob of picking 1 c and 1 m.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116323545 divided by 5.\nAnswer: 23264709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*54974.\nAnswer: 1649.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:18 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooxoooooxxxxxxo. What is prob of sequence ox?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4045 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: Suppose -5*a + 4*d = -90, -93 = -5*a + a - d. Suppose -2*o = -26 + 6. Calculate the least common multiple of a and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 5 (b) 1\/2 (c) -0.1 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 12*l**2 + 8*l + 6. Let z be k(10). Let b be 2\/11 - z\/66. Let a(y) = 2*y**2 + b - 11. Let f(r) = -2*r. What is a(f(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 8. Let f be 10\/(-780) + 2\/(-13). Let u = 0 + f. Which is the nearest to 1? (a) y (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*c**3*u**3 + 16*c**2*u**3 - c*u**3 - 59*c - 3*u**3 + 4*u wrt c?\nAnswer: -612*c*u**3 + 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1365061 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/22 and -19\/639660?\nAnswer: 7036260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - 3*u**2 - 3*u**3 + 0*u**2 + 6*u**3 to the form f + a*u + t*u**2 + k*u**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/7)*h)\/h)**(-1\/6)\/(h**(-1\/20)*h*h**(1\/17)))**(-49) assuming h is positive.\nAnswer: h**(20377\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -207*k**2 + 2*k + 3. Let d be 0 + -3 + (16 - 15). Let v be m(d). Let i = v + 1358. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*l**2 + 330*l - 157*l - 174*l + (-7*l - 3*l - 8*l)*(5*l - 3*l + 0*l) to the form r*l**2 + q + y*l and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -208. Solve b*y = -5*y + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c*c**(-5))\/c)\/c)\/(c*c**(-1\/4))*(c*c\/(c*(c*c**(2\/3)*c)\/c))**(-6\/25))**(-36) assuming c is positive.\nAnswer: c**(5031\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 13*m**5\/60 - m**3\/6 + m**2\/2 + 2. Let c(h) be the second derivative of b(h). Is 6 a factor of c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1661 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (0 + (-2)\/14). Let r = -31 - -32. Sort z, r, 2\/11 in descending order.\nAnswer: r, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 373255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -652, 3\/8, 5 in decreasing order.\nAnswer: 5, 1, 3\/8, -5, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3958110 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q - 1. Let d be j(8). Let h = d + -59. Let f be 6\/4*h\/21. Solve f*b - 8 = -2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.95008 + 0.04992. Sort -0.73, 0.1, a in ascending order.\nAnswer: -0.73, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50124, 3, -173 in decreasing order.\nAnswer: 3, -173, -50124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6 and (-4)\/(-66)*(-24)\/32.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494414*i - 4*i**3 - 494414*i - 106*i**3.\nAnswer: -110*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 45\/(-6))\/((-5)\/60)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409223814 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: What is -125.724856 minus 0.98?\nAnswer: -126.704856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 433 (base 7) to base 11\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1221\/(-1221))\/(-1 - (-46)\/45)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1427*x**4 - 4763*x**3 + 30854822*x**2.\nAnswer: -34248*x - 28578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.104 + -274.104. Let g = 238.6 + m. Let z = 35 + g. Which is the nearest to 5? (a) 0.3 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**3\/6 - 45515*c**2\/6 + 1765145*c\/2 + 17116425\/2 = 0.\nAnswer: -9, 127, 8985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1620*z - 10374 = -2019*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-32)*(-1)\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 11256*c**3 + 33744*c**2 + 33736*c + 11244.\nAnswer: 4*(c + 1)**3*(c + 2811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3300705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(51\/(-12) - -4). Let u be (-2 - -16)\/(k\/(-8)). Suppose -5*p = -19 - 1. What is the greatest common factor of p and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 4 + 139. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - o - 27 = 525, 2*o = 4*x - 444. What is the highest common factor of x and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7954347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 4*y + 7. Is q(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6354 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 3.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 388*f**2 - 20*f + 12*f.\nAnswer: -388*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43376 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(6\/(-2)))\/((-12)\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c + 2*c**2 - 2*c - 3*c + 3*c - 3*c - c**2 + (-5*c + c + 2*c)*(2*c - 2*c + c) in the form a*c + z*c**2 + h and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 1 - 1 + (5 - 2 + 0)*(4*q - 5*q + 3*q) + 0 - 2*q + 0 - 4*q + 14*q - q to the form h + o*q and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 527656, 1055382, 1583238, 2111290, 2639604, 3168246, 3697282?\n\"Answer: 11*g**3 - g**2 + 527652*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 z when three letters picked without replacement from fzffiffifiifi.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (15 - (16 - -12)) + -25.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41714186471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1799, 3074, 3283, 1892, -1633, -7826, -17221, -30352?\n\"Answer: -89*t**3 + t**2 + 1895*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*r - 154*r - 24*r + 10125 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, -5, -1, -65, 140 in increasing order.\nAnswer: -177, -65, -5, -1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 - 4*n**2 - 29*n - 61. What is a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 63. Does 11 divide (u\/2)\/((-3)\/(-111))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2782650.\nAnswer: 2, 3, 5, 13, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 33*j + 86*j**2 + 18*j**2 - 109*j**2.\nAnswer: -5*j**2 + 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*1 - (-4*(-132)\/48 + -6). Solve 4*y - 7*y - 7 = -2*u, -14 = w*y + 2*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147048803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 110010?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r - 297685 = -33*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1231572?\nAnswer: 1231572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 10. Give z(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023342440 (base 5) in base 15?\nAnswer: -2cc7b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 53*t**3 + 7*t**2 - 6. Let m(v) = -35*v**3 - 5*v**2 + 4. Give -7*m(z) - 5*x(z).\nAnswer: -20*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1449, 28 in descending order.\nAnswer: 28, -3, -1449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (62\/93)\/(2 + 24\/(-9)). What is the closest to -0.33 in 0.2, -5, 3, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1318 + 2046. Suppose r = -22*o + 9832. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7122 + 7122.4. Let s = -1.3 - -0.3. Suppose 0 = -5*n - 0*n + 15. Put z, n, s in ascending order.\nAnswer: s, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106.1 - 101.1. Which is the biggest value? (a) 1 (b) m (c) -1 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 49*r**2 - 2*r + 103. Is m(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*-2840.8453\nAnswer: 14204.2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 less than 0?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 1733*q + 20 = -1729*q, -54 = -n - 13*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3865.527 centuries to millennia.\nAnswer: 386.5527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80211 * 3.245.\nAnswer: -260284.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 7. Let p be g(6). Let w(y) be the first derivative of 7*y**3 - y**2\/2 - y - 3. Is w(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1023.\nAnswer: -1\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 56) + 6 + (15 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/14650 and -91\/3910.\nAnswer: 5728150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/84 - (-314)\/3297. Solve s = 4*g - 2*a + 20, 0 = -g + 5*a - 11 - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311099 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - a - 3*a + 79 - 21. Let f be k(11). Calculate the greatest common factor of f and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2787.\nAnswer: 2\/2787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 6 = -25*w. Suppose -w*d + 4 = 0, -5*d + 3*d + 5604 = 2*k. Round k to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9092477 is divided by 5773.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Let y be (a\/8)\/(660\/160). Put -1\/6, y, 5 in ascending order.\nAnswer: -1\/6, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1105, 0.2, 2\/9, -12, 0.1 in ascending order.\nAnswer: -12, 0.1, 0.2, 2\/9, 1105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 76\/(-14)*140\/400.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7692 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c2017 (base 14) in base 12?\nAnswer: 1a5b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 7*q + 5. Let j(h) = -3*h**2 - 6*h - 5. Let d(l) = -5*j(l) - 4*t(l). Let v be d(-3). Let i = v + -11. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(106\/408 + 12\/(-48)). Which is smaller: 3\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.6, 7, 43?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i**4 + 265*i**3 - 390*i**2 + 140*i + 40 = 0 for i.\nAnswer: -2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.045 - -0.045. Which is the closest to s? (a) -2 (b) 1\/10 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*4\/24)\/((-4)\/(-240)*-65)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7091 - -1041. Is m a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 1266, 4208, 9922, 19332, 33362?\nAnswer: 52936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/4 - ((-12)\/(-3))\/(-4). Suppose -n*y - 7 = -15. Find the common denominator of -99\/70 and (825\/(-36))\/11 - y.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4\/8*((8 - 130\/10) + 13379)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2974416.\nAnswer: 2, 3, 61967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 48 + 254*z**2 - 191*z**2 + 649*z**2.\nAnswer: 712*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4*3)\/(639\/(-2982))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/27)*h))\/h**(-19) assuming h is positive.\nAnswer: h**(511\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 1. Let s be c(-5). Let h be 1\/(0 + -3 + s). Is ((-355)\/(-25))\/(h\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 957291832 to the nearest integer?\nAnswer: 30940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 14) in base 12?\nAnswer: 2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2)*(2 - 10). Suppose 0 = p - 36 - 9. Suppose p = 4*q + 13. Calculate the greatest common factor of q and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/44*0\/349. Let 2\/11*d**3 - 4\/11 + y*d**2 - 6\/11*d = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1302*b**6 + 5327 - 5379 - 50*b**2 + 46*b**2 + 2*b**3 wrt b.\nAnswer: -156240*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*w - d, 249*w = 116*w + 128*w - 2*d + 30 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + l + 0*l)*(-90*l + 29*l + 12*l) + 2 + 3*l**2 - 2 to the form g*l + t*l**2 + i and give t.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26465651.\nAnswer: 17, 19, 81937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 30783718.9 to the nearest ten thousand.\nAnswer: 30780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, v: 7}. Give prob of sequence vvv.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 + -1. Let k = 2 + -5. Sort x, 0.3, k in decreasing order.\nAnswer: 0.3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**2 + 51*s**2 - 15*s + 68*s**2 + 30*s**2 - 8*s.\nAnswer: 125*s**2 - 23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(1\/4))\/a)**(-22)*a*(a\/a**(-6)*a*a)\/a*a*a**3)**(2\/13))**(-21) assuming a is positive.\nAnswer: a**(-777\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -7. Let g = 8.2 + m. What is the biggest value in -2\/7, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292437822 to the power of 1\/2, to the nearest integer?\nAnswer: 17101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/4 - 15*p**4\/4 - 29*p**3\/2 - 3*p**2 + 62*p + 72 = 0. Calculate p.\nAnswer: -9, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v + 60. Let l be i(13). Let b be ((-14)\/l)\/(2\/(-18)). Solve -t = -b + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8416 and 31\/410280.\nAnswer: 1641120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -1993, -4491, -7989, -12487?\nAnswer: -17985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133017*n**2*s**2 + n*s**2 - 107*s**2 + 125 wrt n?\nAnswer: 266034*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -21. Let v(g) = g + 50. Calculate the remainder when (-9 - 0)*(-3 - 6 - h) is divided by v(-31).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**4 - o**3 - 2*o**2 - o - 1. Let v(p) = -11*p**4 - 36*p**3 - 17*p**2 + 15*p - 23. Let d(w) = 30*m(w) - 2*v(w). Solve d(r) = 0.\nAnswer: -1, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 + 43. Let i = 42 + -27. What is the highest common factor of h and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(-t + 3*t - t) + t + 0 + 0)*(0 + 1 - 27*t - 29*t)*(-3 + 3 + t).\nAnswer: -168*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2602, 3082, 3260, 2986, 2110, 482?\nAnswer: -2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -420*s**5 - 9688565*s**4 + 19263485*s**3 + 807400*s**2 - 1153500*s = 0.\nAnswer: -23070, -1\/4, 0, 5\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 + -2 - 132\/(-11). Suppose l*k = 20*k - 47200. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:53 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 3. Let r(a) = -2*a + 3. Let s(p) = 5*h(p) - 6*r(p). What is the remainder when s(8) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1214160 and 31\/728496?\nAnswer: 3642480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1. Let n(w) = -w - 1. Let o(j) = 2*h(j) - 2*n(j). Let i(d) = -2*d + 4. Let g be i(0). Let x(b) = -3*b + g*b + 4*b - 3*b. Determine o(x(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 12 = 3*o + 4*t, 2*t - 8 = -5*o. Suppose o*s - 58 = -2*s. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*f*k**2 - 219*b**2*f - 8*b**2*k**2 + 19*b*f*k**2 - 2*b*f*k - 5*b*k**2 wrt b?\nAnswer: -4*f*k**2 - 438*f - 16*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - -17. Let c(l) = 2*l**3 + l**2. Let o be c(1). Suppose 0*b - f = -o*z + 2*b, -2*z + 3*b + 56 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8878 + -266263\/30. Find the common denominator of j and 43\/4971.\nAnswer: 49710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 40.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from {t: 2, u: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 4846490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 16*a + 5. Let m be d(-11). Suppose -m*q**2 + 3 - 69*q**2 + 122*q**2 + 15*q = 0. What is q?\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(27) - (sqrt(18)\/(-1*sqrt(6)) - sqrt(3))**2.\nAnswer: -12 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1801121348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*p + 10. Suppose -5*b + 5*u = -10, p*b - 22 = -0*b - u. Calculate the remainder when 6 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 929383 and 160498.6?\nAnswer: 768884.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d. Let v(i) = 47*i. What is v(k(y))?\nAnswer: 188*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 167?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + r - 23 = -5, 98 = 5*l + r. Suppose -4*p - 5*x = -0*x - 208, -5*x - l = 0. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(3\/4 + 0). Suppose s = 1 - 2, -4*o + l = -4*s. Suppose -q + 373 = o*v, 2*v = -v + 2*q + 266. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - (-232)\/12. Let d = 39 - t. Calculate the greatest common factor of d and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3 = -t - 0, 0*t + 12*a = -4*t + 44 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (26 - (32 + -18 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843 = 110*g + 401 + 286 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -5 + 5 + 879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)\/(3\/3). Let a(f) = f. Let l = -5 - -3. Let w(t) = 973*t + 971*t - t**3 - 1946*t + 0*t**3. What is l*a(g) + x*w(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j + 292. Determine f(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008411875 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 - 13*j + 7*j**2 - j**3 - 4 + 9*j**2. Let u = 59 + -49. List the prime factors of a(u).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 2*l - 3*l)*(-4 + 3 - 1) - 8*l + 13*l + 5*l - 10*l + 2 - 7 + 2 to the form g*l + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54269.1 - 51238.97. Let f = 2944.1241 - b. Let j = 86 + f. What is j rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.054138112\nAnswer: -0.445861888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 83?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (215*s + 3*s**3 - 215*s)*(0*s + s - 2*s).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -88, -564, -1358, -2470, -3900, -5648, -7714?\n\"Answer: -159*l**2 + l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 o when three letters picked without replacement from {o: 3, d: 17}?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j. Let m(s) = 82985*s**2. What is m(q(d))?\nAnswer: 5311040*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27795, 48822, 69849?\nAnswer: 90876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, -2, -13 in descending order.\nAnswer: 126, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 134*c - 10. Let v be p(-1). Let j = v - -146. Let w(r) = -r**3 + r**2 + 2. Determine w(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*m - 288*m + 21*m**3.\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose b = -2*z - 0*z + 106. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 at least as big as 3.014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -18*r**2. Let p = -2272 - -2276. Let h(k) be the third derivative of 0 + 0*k + 4*k**2 - 1\/24*k**p + 0*k**3. Determine h(u(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-2 - -12)) + 5 + -4. Let b = 5 - 1. Let t(i) = 17*i**2 - 8*i + 2. Let h(s) = 8*s**2 - 4*s. Let p(u) = b*t(u) + z*h(u). Factor p(d).\nAnswer: -4*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g - 1. Let l(k) = 33*k**2 + 24*k + 12. Let h(d) = l(d) + 12*y(d). Let m(o) = o**2. Give m(h(r)).\nAnswer: 2025*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76 or 74?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5034 and 14?\nAnswer: 35238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -3, 4\/13, 4, -5, 53 in increasing order.\nAnswer: -5, -3, 4\/13, 2, 3, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -2\/43 (c) -2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -8421640?\nAnswer: -8421640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1034 (base 5) to base 16\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103356 is divided by 103075?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -36645*f + 36645*f + 3*f**2. Let q(w) = -12*w + 2. Calculate y(q(o)).\nAnswer: 432*o**2 - 144*o + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*s + 18, 32*c - 28*c - 8*s - 4 = 0. Solve 3*q + l + 4 = 0, 78 = -3*q + c*l + 54 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/2)\/c**(-17) assuming c is positive.\nAnswer: c**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*w - 2350 = -160*w. Let n = w - -482. Solve -3*b - n = -6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 9*t - 6. Let m(p) = 2*p**2 + 5*p + 3. Let s(a) = 5*m(a) + 3*o(a). Let w = 4 + -1. Let l be s(w). Is l <= 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f + 2 = 2*h, 0 = 2*h + f - 10. What is the third derivative of 71*p**3 - 17*p**2 - h + 8*p**2 + 4 + 21*p**2 wrt p?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 340. Let q be o(0). Let y = q - 222. Let m = 131 - y. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18898940 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -5. Let f be (-763)\/v + (-2)\/(-5). Let h = f + -94. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**4 + p**3 + p**2 - 1. Let r(b) = 5*b**4 - 3*b**3 + 2*b**2 + 184. Let y(s) = -3*f(s) - r(s). Differentiate y(w) wrt w.\nAnswer: -32*w**3 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63155, -126735, -190315, -253895, -317475?\n\"Answer: -63580*d + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by -6\nAnswer: -127\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*a - 168. Suppose r = 5*u + 4*r - a, -r + 6 = u. Solve 4*i - u = -w, -4*i + 6*w + 23 = w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1393 + -1393.4. Let c = 1021 - 5087\/5. What is the closest to 1 in c, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 20618696 = -8111716. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 - 25744518*r + 110463367842054.\nAnswer: 3*(r - 8581506)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f + 27*f - 12*f + 2*f**2.\nAnswer: 2*f**2 - 42*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 110 + 9\/(0 - -3). Let b = a + -107. Solve k + 2 = w - k, 2*k + b = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -2, 1\/521, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Suppose 5*z + 1 - 2 = -3*g, -4*g - f*z + 6 = 0. Suppose g*h - 72 = 3*b - h, 2*b + 45 = 5*h. What is b rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77281861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40757, -163069, -366923, -652319, -1019257?\nAnswer: -1467737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + -4.1. Let s = -0.75 + 1.25. Which is the nearest to 0.1? (a) s (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 7*y**3 - 971*y**2 + 688*y + 276 = 0.\nAnswer: -2\/7, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 11, r: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4*v - 48 + 8*v - 5*v.\nAnswer: -v - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23622 + 23626. Is g greater than -0.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 3*a = 688. Let j = 175\/2 + a. Let f = 1604\/9 - 178. Put f, -0.4, j in descending order.\nAnswer: j, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*f**3 + 7 + 186*f**3 + 69*f**3 - 4 as v + c*f + u*f**3 + m*f**2 and give u.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 9*v**5\/2 - 179*v**4\/4 + 247*v**3\/2 - 101*v**2 - 6*v = 0.\nAnswer: -1\/18, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 - -1.39?\nAnswer: 156.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -16*a**2. Let q = -49 + 52. Let f(c) = -5*c**2. Give q*p(o) - 10*f(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3085409 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193938789 to the power of 1\/2, to the nearest integer?\nAnswer: 34553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 6. Let c be q(4). Suppose 1386 = 2*d - 20*d. Let b = -53 - d. Solve 3*y + 2*h - b = 5*h, y - c*h = 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -261, -240, -199, -132, -33?\n\"Answer: h**3 + 4*h**2 + 2*h - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1504, 1510, 1516, 1522, 1528?\n\"Answer: 6*k + 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 11) to base 2.\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 3383*l**6\/120 + 4*l**5\/3 - l**4\/12 + 1247*l**2. What is the third derivative of j(h) wrt h?\nAnswer: 20298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**5\/10 - 103*o**4\/4 + 1055*o**3\/6 - 2*o - 24. What is the second derivative of q(c) wrt c?\nAnswer: -12*c - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 1c7?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-5*-1*sqrt(110))\/(sqrt(10) + sqrt(30)\/(-2*sqrt(3))) + -3))**2.\nAnswer: -960*sqrt(11) + 17744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 2. Let a be s(-2). Suppose 0 = -a*f - 0*f + 16. Suppose c + 60 = f*c. Solve -4*x = x - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/(t*(t**0\/t)\/t))**(-16\/7))**(-3\/16) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 154925*w**2 + 154925*w**2.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -56, -2, 2037, -315 in ascending order.\nAnswer: -315, -56, -2, 5, 2037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1. Let v(r) = 0*r**2 - 74 - r**2 + 65 - r. Calculate -18*b(d) + 2*v(d).\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**4\/9 - 4318*o**3\/3 + 494860*o**2\/9 - 607976*o\/3 + 1772080\/9 = 0.\nAnswer: -6515, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/14*(-9744)\/(-174)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -8. Let v(i) = 2*i**2 + i + 6. Let w be v(-6). Suppose -2*p + w = p. What is the greatest common factor of p and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8699629 less than 8699635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45188 and 264?\nAnswer: 271128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62824 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 227 + 1010 = 0. Let f = v - 7285\/6. Find the common denominator of 29\/4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -27, -3, 14 in decreasing order.\nAnswer: 14, 3, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123532492 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g - 6. Let p be i(-4). Let k be (2 - 3) + -1 - 4. Let d = k + p. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114655589.\nAnswer: 29, 53, 74597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89423118, 89423118, 89423120, 89423124, 89423130, 89423138?\nAnswer: 89423148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2412 divided by 107\nAnswer: -2412\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b = 48*b - 210. Calculate the lowest common multiple of 8 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d**2\/d*(d**(-2\/3))**(-50))**(-10\/11) assuming d is positive.\nAnswer: d**(-1150\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3699, 14621, 32755, 58089, 90611, 130309, 177171?\nAnswer: 231185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402337.\nAnswer: 13, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 s when four letters picked without replacement from ssrssssrrsssrrsrss.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 856241117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59734*g + 59480*g + 762 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let j(x) = x + 2. Let d be j(g). Suppose d*c - 5*c = -67. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 12*t + 1. Let j be y(15). Let r be (-2)\/(-3) - j\/(-30). Which is the second biggest value? (a) 2 (b) r (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(18 - 3)*-48. Find the common denominator of (0 + 133\/(-18))\/(u\/(-24)) and 23\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -3. Let i(l) = -l**2 - 4*l - 5*l + 5*l - 4. Suppose 6*p = -5*x - 35, -2*x + 3*x - 3*p = 14. Let r(s) = s**2 + s + 1. What is x*i(m) + y*r(m)?\nAnswer: -2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5 + 10 = -2*t, 2*c + 2*t = -12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.033491059\nAnswer: 0.167455295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 + 32*d. Let l be z(8). Solve 14*r - 16*r = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -915.6 or -1\/5672?\nAnswer: -1\/5672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*s)*(s - s + 2*s)*(-2 + 3 + 2)*(8 - 2 - 1).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0.04 (c) -1\/3 (d) 131 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-31)*o**14 assuming o is positive.\nAnswer: o**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -431 + -4530501?\nAnswer: -4531332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 38 = -10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0 - 16 + 4 - 3*g + 9. Let z(f) = f. Let v = -11 - -20. Suppose -5*q + 3*k = -14, 3*q - 3*k + k - v = 0. What is q*i(a) + 4*z(a)?\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.38 + -7.155. Round o to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3323 (base 6) to base 11\nAnswer: -641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o - 261 + 275 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l*l**4)\/l))\/(l*l**0)*l*((l**(-2\/9)*l)\/l)\/l*l*l\/((l*l**(-1\/2))\/l*l)*l assuming l is positive.\nAnswer: l**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -864.\nAnswer: 1\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 3630?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4262392 and 6296?\nAnswer: 4262392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13052 + -13048. What is the closest to -1 in -1\/3, 424, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 2\/3*(4055 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -12018 and 1957.\nAnswer: -23519226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000611 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/3 (b) 0.15 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 20*g + 87. Determine v(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254334763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -24.28. Let l = 2.72 - h. Let i be 2\/5 + 6\/(-15). Put 5, i, l in increasing order.\nAnswer: i, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102121112121 (base 3) to base 8.\nAnswer: -676333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 28272?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7398066, 7398067, 7398068, 7398069, 7398070?\nAnswer: 7398071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1 - (7 + -10 + 2)) + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 20 = 0, 5*z + 5*t - 14 = 41. Solve -u + z + 13 = -5*o, -2*o - 6 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 703*b**2*d**2 + 3*b*d**2 - 45*b wrt b.\nAnswer: 1406*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:06 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**6\/10 - 27*x**5\/20 - 15*x**4\/2 - 22*x**3 - 36*x**2 + 32*x + 25. Let v(r) be the first derivative of s(r). Factor v(t).\nAnswer: -3*(t + 2)**3*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31172 - 31171.5. Sort -2, -0.1, 0.42, u, -2\/3 in decreasing order.\nAnswer: u, 0.42, -0.1, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13)\/(-26))\/((-2)\/(-456)). Suppose -2*y = 4*x - l, -y - 3*y + 278 = -2*x. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 653961.3m?\nAnswer: 653961300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*d + 2)*(0 + 5 + 14) - 12 + 8 + 4 - 703*d - 530*d.\nAnswer: -1271*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3*l = 9, 28*i = 27*i - 4*l + 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = t + 3*p - 0*p, 2*t + 5*p = 43. Let x be 52\/t + 4\/14. What is the greatest common factor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**2 - 2. Suppose 0*g + 2*g = -4*j + 22, -2*g + 5*j - 23 = 0. What is p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1050*s**2 - 15753*s - 27. Give l(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 2*i + 120. Let n(p) = p**3 + 5*p**2 - 2*p - 4. Let c be n(-5). What is the greatest common factor of c and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 2*j + 17. Determine l(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5994\/189*707\/303\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 78. Suppose -4*p = 6 - l. Suppose 5*y - 3*s + p - 13 = 0, -5*s - 2 = 3*y. Calculate the remainder when 4 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18239*f + 18263*f + 1 - 1.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1732 divide 87192344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70, 391, 1202, 2737, 5230, 8915, 14026?\n\"Answer: 39*h**3 + 11*h**2 + 15*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -593 by -255040.\nAnswer: 593\/255040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwwrrwwrwwrwwww. What is prob of sequence rww?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 379322975 and 758645950.\nAnswer: 758645950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 4:43 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*b - 11, 2*b - 8 = -4*a - a. Is 1*(1006\/4 + a\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25\/10)\/((-2)\/(-28)). Suppose -4*w = w + 100. Let q = w + b. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -21\/10 (b) -0.4 (c) -2274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) -0.02 (c) -0.1 (d) 111 (e) -819\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103\/15 + -499\/60. What is the common denominator of r and 1\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - 1410.8.\nAnswer: -1410.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -24*n + 22*n + 10270, n = -3*m - 7700. Is -2566 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - j)*(0*j**2 - 2*j**4 + 0*j**2 + (11*j**2 + 8*j**2 - 9*j**2)*(-j**2 - 1 + 1) - 2*j**4 + 5*j**2 - 5*j**2) - 2*j**5 + 5*j**5 - j**5.\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 11*l**2 + 11*l + 10. Let c be d(-10). Let j(h) = -h**3 - h**2 + h + 2. Let a be j(c). Factor 1 + 5*w**a + 5 - 4 + 7*w.\nAnswer: (w + 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 13*s - 13. Let n = -846 - -856. Give t(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by (-756)\/(-7) + (-2)\/1*(-11 - -7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(144)*1 - sqrt(144))\/(sqrt(12) + sqrt(588) + sqrt(588)*2))\/(sqrt(576) + 4*(2*sqrt(576) - sqrt(576)) + sqrt(576) + sqrt(576)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41676545, 83353086, 125029627?\n\"Answer: 41676541*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/(-9) - (2 + 2))*3. Solve i + 0 = -r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, 0.12, -1\/5, 1, -65?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**2*f**3 + 33*c**2*f**2 + 2*c**2 + 3*c*f**3 + 2558*c*f wrt f?\nAnswer: 36*c**2*f + 66*c**2 + 18*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2. Let h = 3107 - 3107. Let r(a) be the third derivative of 0*a**3 + h*a + 0 + 1\/10*a**5 + 0*a**4 + 11*a**2. Give g(r(f)).\nAnswer: 108*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose -61 = -4*x - 5*p, -u*p + 4 = -0*p. Is 4\/x - (-660)\/42 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 4 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -169 and -4.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.76958526 to four decimal places.\nAnswer: 1.7696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-94)\/(-14) + (-8)\/(-28). Let k = 15 - i. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176037833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3390683.646 + -936.1.\nAnswer: 3389747.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 31. Determine q(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1305 and 1899.\nAnswer: 275355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) -0.014 (b) -65.57 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 72*w - 3*w**3 - 2 - 24*w - 49*w + 1 - 374*w**2 as c*w**2 + d*w + f*w**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -67.5. Let x = -66.5 + a. Let i = -58.7 - x. What is the nearest to 0.1 in -3, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -378*o**3 + o**2 - 1. Let s = -8 + 7. Let t be n(s). Let l be 153\/t - 2\/4. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -21. Suppose b = 3*t - 105. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 949071654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 34. Let l be (-2)\/(-6) + (-19)\/114. Sort l, f, -2.\nAnswer: f, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71658089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 4*z + 0*z)*(1 + 3 - 2).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 3:25 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.98 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*n - 13 = -11, 5*p + 1 = -n. Factor -4\/9*g**2 + p + 0*g + 1\/9*g**3.\nAnswer: g**2*(g - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.42 (b) 0.1 (c) -35\/6 (d) -0.044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1975, 1966, 1957, 1948?\n\"Answer: -9*c + 1984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 33 + 11. Suppose -q - 2 - d = 0. Let w = q + 16. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h - 61127 = 12*h + 124473. What is the greatest common divisor of 600 and h?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-345)\/(-30) + -11)*(-67872)\/(-303)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnnnr. What is prob of picking 1 r and 3 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85513 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.287 - 0.28913. What is t rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*b*i**4 - b*i - 6*b - 198 wrt i.\nAnswer: 52*b*i**3 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - a - 2)*(0*a**3 + a**4 + 0*a**3) - a**5 + a**5 - 3*a**5 + 0*a**5 - a**5 + 2*a**5 - 4*a**4 + 2*a**5 + 4*a**4 + 112 + 11*a**5 - 112.\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/4 - 137*a**4\/4 + 141*a**3\/4 + 409*a**2\/4 - 172*a + 69 = 0. What is a?\nAnswer: -138, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/88 and -23\/165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 16 = 0, 3*x + 47*f - 46*f - 563 = 0. Let p be 1\/((-2)\/(-306) + 0). Suppose -p - x = -6*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - 6240\/(-128))\/(42\/(-112)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/104*-26)\/(6\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5 = c, -3*c + c - 10 = -3*p. Suppose 4*z + 114 - 1130 = p. Suppose 2*a + 2*f - z = 0, 3*f = 6*a - a - 595. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + 1?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-84)\/((-98)\/7) + -16 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**2 + 2 - 2 + (2*f**2 - 1 + 1)*(-2 - 3 + 3) + 1 + 2*f**2 - 1)*(-56 + 50 + 105) in the form q*f + c*f**2 + x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**7\/504 + 13*c**6\/72 + 169*c**5\/24 + c**4\/8 - c**3\/6 + 15*c**2 - 2. Let n(d) be the second derivative of l(d). Factor n(a).\nAnswer: 5*(a + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16356544 or -16356540?\nAnswer: -16356540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 22 - 31 + 8 + i**2 to the form y*i + a + x*i**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -16*b + 3. Let q be y(-2). Suppose -p + 92 = 4*l - l, 170 = 5*l + 5*p. Suppose q + l = 4*n. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2615 (base 14) to base 4.\nAnswer: -1220123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -5.3. Let h = 1.3 + a. What is the third biggest value in h, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 89374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -811.9 - -982.9192. Let v = l + -171. What is v rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*-2.5415\nAnswer: 6.86205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372865405.\nAnswer: 5, 11, 19, 509, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 27, 26, 23, 18?\n\"Answer: -t**2 + 4*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.852236159 to two decimal places.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -72 - 420. What is the third derivative of -n*c**3 + 81*c**3 + 15*c**2 - 4*c**2 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o - 35 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -508632651.7 + 5530.\nAnswer: -508627121.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 - 12*i - 1. Let c(d) = 5*d**2 - 15*d + 3. Let w be c(3). Suppose 0 = 4*j - 8, -2*j - 15 - 5 = w*q. Determine p(q).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 1682?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**2 - 9*u + 38. Let t be a(-7). Let l(z) = -8*z - 1. Let b be l(-7). What is the highest common divisor of b and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/3556 and -113\/233860.\nAnswer: 207901540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*-9*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75502840 divided by 12542?\nAnswer: 6020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o)\/o*o**(-10)*(o*o**(-2\/5))**(4\/3) assuming o is positive.\nAnswer: o**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66980 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = 33. Suppose -81*m + 77*m - 196 = 0. Calculate the remainder when -1 - 56\/m - (-90)\/7 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(202\/(-90) - (-44)\/99).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*h = -n, 2*h = 4*n + 30. Let a be (-26)\/n + 2\/3. Solve 8 = -a*m + m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 53, 137, 339, 755, 1481, 2613?\n\"Answer: 16*u**3 - 37*u**2 + 83*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 2756.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 + 3*b + b**2 - 6 + 6*b**2. Let p = 26 - 25. Let c(w) = -w**2 - w + 1. Let z(k) = p*j(k) + 6*c(k). Find the second derivative of z(d) wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 28*z**2 + z + 21. What is b(-28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62155, -124345, -186535, -248725, -310915?\nAnswer: -373105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 7)\/((-1)\/4). Suppose -w - 2*v = 4*w - 20, -x*w = v - 19. Let o(a) = -3*a + 2*a - w + 6. Let h(g) = 6*g**2. Determine h(o(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56216.\nAnswer: 2, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -2 + sqrt(245) - (0 + -3*sqrt(5) + sqrt(5)) - -5*(-4 + sqrt(5) + sqrt(5)*1 + -5).\nAnswer: -47 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (15\/525)\/((-102)\/(-595))*(-64)\/12\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 - w - 3. Let k(t) = -6*t**2 - 2. Give -4*k(d) + 5*v(d).\nAnswer: 4*d**2 - 5*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146 - (104 - (40 - 22) - 45)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-85))\/(4\/34)*(4\/2 - 76).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470 - 543 + 162*u**2 + 73.\nAnswer: 162*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.2. Let f = 0.76 - 0.06. Which is the second biggest value? (a) f (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(-2\/7))**(-50)\/((j\/j**0)**(1\/14)*(j*j**(-7)\/j*j)\/j*j*j**(-1)\/j) assuming j is positive.\nAnswer: j**(61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17435*l**3*s**3 - 2*l**3 + l**2*s + 3*l**2 - l - 4*s**3 - 58027*s wrt s?\nAnswer: 104610*l**3*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:21 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-3*-3*sqrt(637) - sqrt(637)) + -2*sqrt(637) + 3 + -3 + 1 + sqrt(637) + sqrt(637))*4)**2.\nAnswer: -3584*sqrt(13) + 652352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*k + 12, 0 = -a - 6*k + 2*k + 10. Let j = 1 - -4. Suppose 32 = 4*p - 16. Solve -a = j*v - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 2 = -q - 4*n, 3*n - 12 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (75\/50)\/(9\/(-4)). Suppose -1 = -h - 3. What is the nearest to m in h, -2\/13, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4\/5 (b) -698 (c) -51\/14 (d) -1 (e) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 1, x: 2}. What is prob of picking 1 r and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1875\/(-150))\/(-25)*1164\/6.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 55*l**2 - l. Let w be a(-1). Let q = 421 - -216. Find the common denominator of q\/w - (-1)\/2 and 37\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 3.99. Let m = 2.1 + 0.9. Let k = 3.98284 + 0.01716. What is the nearest to -3 in k, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7605.905 millilitres in litres?\nAnswer: 7.605905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 31. Calculate the smallest common multiple of b(4) and 4\/(-3) + -2 + (-160)\/(-30).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15813853*-3.\nAnswer: -47441559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6776718 and 4691574?\nAnswer: 60990462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27243 + 30367. Calculate the highest common factor of j and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/19)*c\/c**(-3)*c*c*(c*c*(c\/(c*c**(2\/15)*c))\/c*c)\/c*c**(-12)\/c assuming c is positive.\nAnswer: c**(-2003\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 3*n + 2. Let u be v(-2). Suppose -3*h + 2 + 61 = u. Let b(z) = 12*z**2 + 4*z - 1. Calculate the remainder when b(-2) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/12 - 2*d**3\/3 - d**2 - d + 2. Let c(s) be the first derivative of x(s). Let g be c(-1). Which is bigger: -3\/14 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 38. Solve -5*i = 5*p - 5, d*i + 0 = -3*p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875348, 875387, 875426?\nAnswer: 875465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rir when three letters picked without replacement from iiurixiiriiuii?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-187)\/11 - 56\/(-4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 12) to base 2.\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(112\/10)*2\/(-5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 18\/5 (c) -19 (d) 0.2 (e) -0.088\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82948643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 19, 0.2, 1 in descending order.\nAnswer: 19, 1, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p**2 - 4*p**2. Let c(r) be the first derivative of r**2 - 191. What is x(c(q))?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -210*u**3 - 6*u**2 + u - 21. What is the thousands digit of s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 20*q - 3*q**2 + q**2 - 20*q. Let p(z) = -16*z**2. What is p(d(a))?\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -692.958 - 2?\nAnswer: -694.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*(m*(m**(-2\/17)*m)\/m)\/m*m)*((m\/(m*m\/(m**21\/m)))\/m)\/m assuming m is positive.\nAnswer: m**(274\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 71*j - 27*j - 55. Suppose m = -30 + 10. Let x be ((-24)\/m)\/(2\/20). Solve x = -j*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 8:52 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 31 = 22*r. Solve n - 3 + 5 = 0, -r*n = 3*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 + 2 = 0. Let y(x) be the third derivative of -x**6\/120 + 3*x**5\/20 - x**4\/4 - x**3\/2 + 9*x**2. What is the remainder when y(j) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 3*f**2 + 5*f + 2. Calculate r(-3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-135)\/(-6)) - (-395)\/45. Let t(s) = -s**2 + 9*s - 5. What is t(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 5.\nAnswer: -168\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 6 (c) -0.1 (d) 0.01 (e) -4 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3040 and 15859680.\nAnswer: 15859680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**3 - 3*z**2 + 72*z + 3. Let n(j) = 15*j**3 - 7*j**2 + 142*j + 5. Let c(l) = 5*g(l) - 3*n(l). What is the second derivative of c(t) wrt t?\nAnswer: -30*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 0*n - 2*n - 3*n + 4*n + (-2 - 2 + 2)*(-3*n + 0*n + n) + 0 + 0 - n + 3*n + 0*n - 2*n)*(-26*n + 26*n + 20*n**2).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*x - 2*x + 45 + 26*x wrt x.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -111. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 6 + 0 + 10 + -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -98743 and -36.\nAnswer: 3554748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/14 and 99\/46?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 543*k + 234*k + 236*k - 81*k to n*k + z and give n.\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -362*j - 107. Is u(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f + 18. Let t be (-117)\/f - (-4)\/(-2). Suppose 15*v = t*v. Put -2, v, -4 in ascending order.\nAnswer: -4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 437 - 1298\/3. Let u = b + -88\/21. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(114) + 2*sqrt(114))\/sqrt(6))**2.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 30\/165 + 185\/11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/247401 and 137\/66.\nAnswer: 494802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5 - g**4 + 5*g**3 - 3*g**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74775986 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 1 = 5*o, -29*x + 25*x = -2*o - 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + -13*3\/(-3))\/1. Suppose 830 = 4*z - 2*v, -8*v - 1048 = -5*z - h*v. Calculate the greatest common divisor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*m = 89*m - 2620370 - 3298849. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2382311190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 389655 and -2.2533.\nAnswer: 389652.7467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -3*k - 1\/3*k**3 + 24 + 5\/2*k**2. Let b be ((-10)\/(-4))\/((-9)\/(-18)). Calculate i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 - 1 - (98 - 775) and 35?\nAnswer: 4795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6366, -6367, -6368?\n\"Answer: -j - 6365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.4967 years to months.\nAnswer: 65.9604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/13 or 160893?\nAnswer: 160893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) 1\/58 (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 3*d = -231. Let b be (2 + (-7)\/2)*(-48)\/(-36). Sort 2, b, 5, d in descending order.\nAnswer: d, 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 19*b + 4. Let j be r(6). Let w be 3\/j*8\/(-12). Suppose 3*h + 2*i - 3 = w, 5*h = 3*i + 13. Solve 0 = y - h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1312 by -5.\nAnswer: -1312\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 = 3*k, 0 = 3*f - 0*f + k - 16. What is the derivative of 2*g**4 + 2*g**4 - 3*g**4 + 1 - 2*g**f wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilometer in meters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 471998.8l?\nAnswer: 471998800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**8\/168 + t**7\/35 + t**6\/20 + t**5\/30 + 6*t**2. Solve c(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36125588?\nAnswer: 2, 1019, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 75 = -y, -4*r = 4*y + 57 + 27. Let c(m) = -162*m + 41. Is c(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4, -0.2, 22.11 in ascending order.\nAnswer: -0.2, 0.1, 4, 22.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -118744 divided by -6439?\nAnswer: 118744\/6439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5674?\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*a + s, 6*a - s = 8*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7654.829l in millilitres?\nAnswer: 7654829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032 minus 982263.2539?\nAnswer: -982263.2219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5 = -3*d, v + 0*v - 11*d + 5 = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g**2 + 7*g - 4. Let s be w(5). Suppose -480*z = -464*z + 32. What is the units digit of 1\/(-3)*z - (-416)\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14108683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 12, -6, -1 in increasing order.\nAnswer: -6, -5, -1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 235063326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-115)\/(-46))\/(125\/(-600)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 43*x - 300 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 16}. Give prob of picking 1 p and 1 z.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + -5.02. Let s(u) = 3*u**3 - 37*u**2 - 24*u - 30. Suppose -v - 27 + 40 = 0. Let d be s(v). Which is the nearest to 1? (a) l (b) d (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*z + 1628. Let v = 619 + z. Is v a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**4 + 435000*m**3 + 1304928*m**2 - 3914872*m + 2174940 = 0?\nAnswer: -108747, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4+1515\nAnswer: 1519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854948 is divided by 2170?\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5966*j = 5962*j - c - 107, -43 = j - 3*c for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f - 15*f - 4*f - 2*f.\nAnswer: -37*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9, -4, -2\/5, 0.034, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7060 + -7048. Calculate the remainder when 368 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -21 (b) -3\/8 (c) 2\/9 (d) 3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from utdntuaa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4.9. Let z = -0.4 - -0.7. Which is the closest to -0.2? (a) -3 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 365.97. Let r = 344.9 + v. Let t = -21 - r. Which is the fourth biggest value? (a) -1\/3 (b) -2\/3 (c) -1\/5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 2)\/3 + (-1152)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4\/6 - 4*u**3 - 25*u**2\/6 = 0 for u.\nAnswer: -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2306165 divided by 461233\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 1, -14\/83, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 3. Suppose -10*t + 1 = -9. Let r(z) be the first derivative of z**2\/2 - z - 20. Give t*o(u) + 2*r(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2609)\/10436)\/((-1*34\/24)\/((-2)\/6))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/((-3010)\/(-2580)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r**5 - 5535*r**4 + 53844*r**3 + 5990097*r**2 + 61611552*r + 29315328 = 0 for r.\nAnswer: -931, -16, -1\/2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*w - 16. Solve -5*l + 3*a + 1 = 0, a = -3*l - 3*a + w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*p**5 - 13*p**4 - p**3 + 19*p**2 + 225650*p wrt p?\nAnswer: 600*p**3 - 156*p**2 - 6*p + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -193*u**3 - 3*u**2 + 14*u + 53. Is r(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (570*(-23)\/276)\/((-20)\/(-8)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12679 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026450.\nAnswer: 2, 3, 5, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 9, 11, 15, 21, 29, 39?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*y**3 + 73*y**3 + 72*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5866 is divided by 1921.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -297459*g**2*k*y + 2*g**2*k - 3*g**2 + 2*g + 2*k*y**3 - 124*k with respect to y.\nAnswer: -297459*g**2*k + 6*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*y + 3, -4*y + 44 = 5*u - 29. Let i = -10 + u. Suppose -2*r - 3*b + 46 = i*r, 3*b = r - 2. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q - 293*q + 3887 - 863 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.03, 0.5, -1\/2, -4012 in descending order.\nAnswer: 0.5, 2\/7, 0.03, -1\/2, -4012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28509, -227948, -769279, -1823448, -3561401?\n\"Answer: -28491*p**3 - 2*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10195 - -14300. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30825810991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(4\/(-75)) + 27\/(-36). Suppose -x*o - 9 - 27 = 0. Let n(l) = l**2 - 2. What is n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67327096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -40*y + 44. Let t(r) = 14*r - 14. Give -6*n(l) - 17*t(l).\nAnswer: 2*l - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 0.5. Let x = d - 0.09955. Round x to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*u - 3*x, 2*x - 94 = -2*u - 2*u. Suppose -5*y + 22 = -2*r + r, 2*r + 3*y = 21. Let m = u + r. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {a: 3, w: 6, s: 4}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3113, 12413, 27911, 49607, 77501, 111593?\n\"Answer: 3099*n**2 + 3*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 231*l**3 - 2*l + 1. Let f be g(1). Suppose f + 214 = c. Is 37 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3314\/42 - ((-53690)\/1911 - -28).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -596471, -1192965, -1789461, -2385959, -2982459, -3578961, -4175465?\n\"Answer: -v**2 - 596491*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (6 - 4) - (-1 - (-4 + 21))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/((-18)\/(-3))*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a - 12. Let n be h(1). Solve -1 = n*u - 5*c - 14, c = -3*u - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-41 + -10 + -8 + 15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 4*n**2 - 3*n**2 + 2*n**2 + 2*n - 2*n + (-n**2 + 0*n**2 + 3*n**2)*(2 + 0 - 1) + (15*n - 7*n - 5*n)*(-5*n - 5*n + 16*n) - 2 + 2 + 2*n**2.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12720 > 152651\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f - 402 = -1677. Let q(c) be the third derivative of c**4\/12 - 5*c**3\/6 - 2*c**2. Calculate the remainder when f is divided by q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 58*z**2 + 108*z**2 - 7 - 55*z**2)*((-4*z - 8 + 8)*(0 + 0 + 2*z) - z + 2*z**2 + z).\nAnswer: 30*z**4 + 18*z**3 + 42*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-68)\/153)\/(1\/(-9)). Let p(q) = -q**3 + 3*q**2 + 3*q + 11. Let k be p(i). Solve u - 2*x - 19 = -k*x, 3*u - 9 = x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 7*t**4\/4 - t**3 - t**2\/2 + 3*t - 21. Let p be m(-2). Let o = -58 - p. Let b(h) = h - 1. Determine b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(-2*o - 3*o + 3*o)*(-3856 + 9974 - 4135).\nAnswer: 7932*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-20) - 2\/(-8). Suppose 6*j - j - 34000 = x. What is j rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*((sqrt(294)\/sqrt(175))\/((sqrt(24) + sqrt(6))*-1) + 3).\nAnswer: -24 + 8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1155 divide 725611549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*f - 4)*(-14 + 1 - 2)*(-4*f + 0*f + f).\nAnswer: 90*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 5478840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let k = -1.8 - h. Let w = k - -2.8. What is the third biggest value in -2\/3, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 1742.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:45 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020376007 rounded to five dps?\nAnswer: -0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1163, 2455, 3747, 5039, 6331, 7623?\n\"Answer: 1292*o - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/7 + 5289198*v\/7 - 21156840\/7.\nAnswer: 3*(v - 4)*(v + 1763070)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, -5, -0.5, -77, 42.5?\nAnswer: 42.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2876 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763698359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66390011?\nAnswer: 337, 197003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 87*(-4)\/(-48) + (-3)\/(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - 0. Let w = -0.051 - -5.171. Let o = j + w. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00657 rounded to four dps?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 103 = k - 377, k - 2 = 0. Suppose 5*g + 2*s = -374, -g - 2*s - o = -5*s. Let m = g - -76. Solve 3*t + m - 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 40, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - 3. Let u(z) = z**2 - 1. What is -3*u(r) + x(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242777916 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00058448 to five dps.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*c + 12 - 12 to the form o*c + n and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172765036?\nAnswer: 2, 43191259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.12689615 to two dps.\nAnswer: 182.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11043056*h**4 - 2*h**3 - 11914890*h**2 wrt h.\nAnswer: 265033344*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 85, 126, 165, 202, 237, 270?\n\"Answer: -c**2 + 46*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9. Suppose -15 = -3*g - l*g. Find the second derivative of a**4 + 2*a - g*a**2 + 2*a**2 + a**2 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itatfdannfinnnnffaan. What is prob of sequence dfa?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12916 and -0.039.\nAnswer: 12915.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 1 + 8. Let o = -156 + 152. Put x, 4, o in increasing order.\nAnswer: x, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 140*q**2 + 995*q + 33. Calculate a(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -427346*y**3 + 91696 wrt y.\nAnswer: -1282038*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*u**2 + 30*u**2 + 2*u**3 + 94*u**2 + 93*u**2.\nAnswer: 2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnnx when four letters picked without replacement from nwddwnwnxdwdw?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.792 - 10.\nAnswer: -10.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 5*g**2 + 2*g + 4. Let p(d) be the second derivative of -d**4\/12 - 5*d**3\/6 + d**2\/2 + 8*d. Let b be p(-6). Give r(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 155, 292, 483?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72822, 72806, 72778, 72738?\nAnswer: 72686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/2 + j**3\/3 - j**2\/2 + 3*j - 4. What is the remainder when d(3) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 4*k - 3. Let v be o(-5). Suppose 3 = -c - v*c, 2*c + 110 = 4*x. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 60 - 30 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**3 + 10*p - 6 - p**2 + 11*p + 16*p**2 + 0*p.\nAnswer: -3*(p - 2)*(p + 1)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**7\/280 - j**4\/12 + j**3\/2 + 3*j. Let c(n) be the second derivative of k(n). Find the first derivative of c(a) wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 3. Let q(b) = 11*b - 13. Let i be 24\/(8\/2)*-1. Let t be (-15)\/i*(-144)\/(-40). Calculate t*s(o) - 2*q(o).\nAnswer: 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 6. Suppose -3 + 1 = -g, p = -5*g + 10. Suppose 2*t - 3*a - 5 - 2 = p, -a = t + 9. What is b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29973*j**2 + 2*j + 7845 wrt j?\nAnswer: -59946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 9 + -24 + 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 76, -28.2, 10.5?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (10 + (1 - 16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45942 and 1674.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 3*z + 65. Calculate l(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 18 = -2*l + 18, -3*l + 4 = 4*t. What is the lowest common multiple of 270\/63 - (-4)\/(-14) and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of (0 - 75241\/(-4)) + 241\/(-964)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 97 + 1030*h - 17*h**2 - 501*h - 505*h. Give p(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -6757, -3, 17 in ascending order.\nAnswer: -6757, -3, -3\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 - 9.9. Let c = w - -4. Let v = -2 + 1. What is the nearest to 1 in -4, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**6\/360 - r**5\/120 - r**4\/8 - r**3\/3 + 4*r**2. Let y(n) be the first derivative of w(n). List the prime factors of y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*h = 23, -3*v - 138 = 5*h - 154 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8908583576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13622480 divided by 289840.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1074190.9 to the nearest 100.\nAnswer: 1074200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 292619771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -987*s + 58240. What is l(59)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6764547*u**4 + u**2 - 49*u - 226583.\nAnswer: 162349128*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/189 at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -11 - -4 - (21 + -1 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102000 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x + 51 = 5*l - 54*x, 4*l + 2*x = 3*l + 3 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.99 + -0.01. Let y = b - -22.069. Round y to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1331 + 2004343024?\nAnswer: 2004344410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q - 482*q - 198*q - 2*q**2.\nAnswer: -2*q**2 - 707*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -50. What is the closest to -1\/2 in -1\/4, 4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22116 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide -4 + (520 - (5 + -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 1, -18, -53, -110, -195?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*a + 156 = 437*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-27)\/u*u)\/u))\/(u*((u*(u\/(u\/u**13))\/u)\/u)\/u) assuming u is positive.\nAnswer: u**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324231030 (base 5) in base 12?\nAnswer: -11579a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-1 + -15 - (550 + -561))) + 7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*u - 179*u - 17320 + 5320 = 0 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = j + j. Let z be 536\/(-1206) + ((-304)\/90)\/(-4). Which is greater: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/76)\/((-2)\/1)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (34 + 10 - -3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 - 30. Let w be (-4 + -2 + 4)*-6. Calculate the highest common divisor of l and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**2 + 3. Suppose p + 7 = 4*p + a, -2*p - 4*a + 8 = 0. Let d(m) = 0*m**2 - 4*m**2 + 0*m**p. Calculate d(l(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 27*w + 377. Let l be n(-14). Let u = -0.2 - 1.2. Which is greater: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -370 (b) 7.1 (c) 0.5 (d) 5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2007 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v + 722*v**2 + 370*v**2 - 1099*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 95*k - 98*k + 4*l, -3*l + 16 = 2*k. Solve k*d + 0*d = c + 10, -3*d = 4*c - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-81))\/(16\/1524) and -21\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3189, -6379, -9569, -12759, -15949, -19139?\n\"Answer: -3190*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 47*v - 168 - 215 + 337.\nAnswer: -41*v - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243136 is divided by 1511.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 11*m + 7. Let g(d) = -12*d**2 - 34*d - 22. Let i(f) = -3*g(f) - 10*w(f). Factor i(r).\nAnswer: -4*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/((-9)\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 7*g**3 + 11*g + 11*g**3.\nAnswer: 18*g**3 + 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -42079169?\nAnswer: 42079166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11 = -5*x + 3, -2*x = f + 11. Suppose -5 = -0*g - g - 2*y, 10 = 5*g + 5*y. Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 73852\/22 - 2496\/(-2288). Which is bigger: 3355 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.250125 + -0.1982. What is v rounded to three decimal places?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -567 - -723. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30338178 - 30338168 + 60676346 + 2*q**3 + 5*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence velc when four letters picked without replacement from {w: 1, c: 5, l: 1, b: 1, e: 3, v: 6}?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*3 + 2)*-1*-6*-1*5)**2.\nAnswer: 75600*sqrt(2) + 797400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 171 + 2*j + 23*j - 199.\nAnswer: 26*j - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38486, 38497, 38512, 38531, 38554, 38581, 38612?\n\"Answer: 2*a**2 + 5*a + 38479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**2 + 85*y + 4338100 = 0.\nAnswer: -923, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31387 is divided by 468?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 + 72*y**2 - 212*y - 549. Determine t(20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-3*-1)**2 - (sqrt(2430)*2)\/sqrt(6))*6.\nAnswer: -108*sqrt(5) + 9720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(2)*-3 - sqrt(2))*5 + sqrt(2)*-2*-1))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -28*r + 32. Let m be c(5). Let h = m - -116. Solve 4*l = h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-8)*-6)\/((-12663)\/(-320796)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2718876624?\nAnswer: 2, 3, 37, 41, 37339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b - 2. Let w be b\/(-4) + 3\/(-4). What is the third smallest value in 3, w, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 31 - 16 - -5) + 22\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 22 = 2*t, -5*t = -0*y - 4*y + 31. Factor -4\/3 + 8\/3*l + 0*l**2 + 4\/3*l**y - 8\/3*l**3.\nAnswer: 4*(l - 1)**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (57 - 34 - (0 + 2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -2\/1739, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 4*a**2 + 6*a - 7. Determine o(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4351 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5494)\/656 + 16\/2. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:33 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*m**2 - 60933*m + 5298.\nAnswer: 3*(m - 883)*(23*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 473 + -3dcc?\nAnswer: -3959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5677 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 620, 824, 1030, 1238, 1448, 1660, 1874?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 2*i + 3*m, -5*i - 5*i = -5*i + 2*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53112 and 1416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*o**2 - 164*o + 164*o - 3*o - o**2 + 3*o + (0 + 4 - 6)*(3*o**2 - 4*o**2 - o**2) as m*o + j*o**2 + i and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 < -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001011001100010111 + 1011?\nAnswer: 100001011001100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j + 5*j + 2 + j**3 + 2*j**2. Let g be n(-2). Factor 1\/3*w**4 + w**g + 1\/3*w + 0 + w**3.\nAnswer: w*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*m = -2*m - 29, 5*o + 2*m - 38 = 0. Let s(w) = w**2 + w**2 + 4 + 6 - o + w. What is s(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - w**3 + 3*w**3 - 4*w**3. What is n(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 6. Let q be d(5). Let s be (-5)\/q*3249\/(-6). Let p = 665 - s. Find the common denominator of p and 101\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 8*b**2 - 9*b - 5. Let r(c) = 2*c**2 - 5*c - 9. Let m be r(3). What is z(m)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.2, -0.4, -4\/5, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-40)*2\/1*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 345596389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -11*v - 2. Solve 0 = -0*t - v*t + 2*j - 14, -1 = t + 2*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.8534007 times 2\nAnswer: -9.7068014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 3 = -6*b + k, 2*k = 2*b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332796 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 49 + 160 = 39. Calculate the remainder when 151 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1543555678, -1543555679, -1543555680, -1543555681, -1543555682, -1543555683?\nAnswer: -1543555684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*n = -14, 0 = -5*x + 3*n - 80 + 24. Let g = x - -18. Let q = g - -12. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 - 174*n**2\/5 + 12*n\/5 + 696\/5.\nAnswer: -3*(n - 2)*(n + 2)*(n + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 394082.2 millennia?\nAnswer: 4728986400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27 take away -0.718182386?\nAnswer: -0.551817614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 46 + 5*r**2 - 14 + 3*r + 5*r**2.\nAnswer: 10*r**2 + 3*r + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*y**2 + 121*y**2 + 118*y**2)*(-9 + y**3 + 9).\nAnswer: 299*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.6 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 6.2.\nAnswer: -2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-59 - -24) - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0 + 3\/4*f**4 - 5*f + 1\/2*f**3 + 0*f**2. What is the second derivative of y(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -525, -4792, -16399, -39024, -76345?\n\"Answer: -613*d**3 + 8*d**2 + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -5*l**2\/2 - 23. Let f(k) = -21*k - 79 + 9*k + 76 + 11*k + 10*k. Calculate f(b(a)).\nAnswer: -45*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 - 5.06. Suppose 5*d + 4*j - 46 = 0, 2*d + 3*j - 18 = j. Let v be -12 + d - (-9)\/5. Which is the third biggest value? (a) -0.02 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2065728.924 to the nearest one hundred.\nAnswer: -2065700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - 3. Suppose 4*d - 40 = 3*d. Let j = d + c. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19215157 to the nearest integer?\nAnswer: 4384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -396 + 2164. List the prime factors of g.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1194, 1797, 2416, 3057, 3726, 4429?\n\"Answer: w**3 + 2*w**2 + 590*w + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/30, 0.529, 0.2, -12.9 in decreasing order.\nAnswer: 0.529, 0.2, 1\/30, -12.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1986 divided by -426?\nAnswer: 331\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7388 is divided by 2450?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86363550 and 90909?\nAnswer: 86363550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -59. Is 34 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 633?\nAnswer: 633.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = -3*q + 6*q. Does 35 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240115661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3\/6 + 4*o**2 - 20*o. Let f(m) = -2*m - 8. Let j(y) = -2*f(y) - 3*v(y). Calculate j(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)*(q*q**(-13))\/q)**7*((q**(-1)*q*q)\/(q\/(q\/q**(2\/7)*q)))**39 assuming q is positive.\nAnswer: q**(-414\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109473992 and 43417.\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 327 + -165. Let o = -148 + n. Suppose 4*m + 0*m - 12 = 0. Solve 4*r - o = l, -6 - 12 = -3*r - m*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 119 - 115. Solve -19 - 1 = m*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j**2 + 157*j - 131. What is t(-10)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316.9026 - 1.6851.\nAnswer: 315.2175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 12*d - 11. Determine m(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*j**5 + 7646072*j**2 - 10083*j + 678 wrt j?\nAnswer: -220*j**3 + 15292144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*45\/(-3)*(4\/(-76))\/(640\/109440).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4794 and 4512?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.6 (b) -1\/2 (c) -4129 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 14 (c) -192 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 - 24*z**2 + 57*z - 36 = 0. What is z?\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.3, -9, 2037 in ascending order.\nAnswer: -9, -0.3, 0.4, 2037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*c - 42 = -9, -35 = 4*c - 21 - 34 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 716149 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 59 - ((-47795)\/(-660) - 14)\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**2 - 1. Let x be q(3). Let k be (-25)\/(-2)*(-8)\/x. Suppose 0*v - 4*v = 2*t - k, 4*t = v - 25. Solve 0*m + 5 = -v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48016756 by 1.\nAnswer: 48016756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 425\/255*24\/(-10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 183*b - 2194. Let i be s(12). Do -809 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71126?\nAnswer: 2, 11, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b. Let s be r(-4). Let h = s - -14. Let g be (73 - (-2)\/1)*h. What is g rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 5*d + 101, -77*j + 3*d = -78*j + 5 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = 4. Does 2 divide (m - (-32)\/12)*-24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -12. Let j(l) = l**2 + 13*l**3 + 14 + 12*l**p - 13*l - 22*l**3 - 4*l**2. Is j(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/60 - -2\/15. Let l = 73252 - 73250. What is the nearest to v in -5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 1548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 197572140918?\nAnswer: -197572140917.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3662 - -12759. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umam when four letters picked without replacement from uammmauuu?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -52.51. Let o = -32.95 + 32. Let j = o + b. Round j to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 + 8*m**2 + 10*m - 166. What are the prime factors of x(9)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*v**2 + 476*v**2 - 122*v**2.\nAnswer: 958*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (-57 - (-14 - 91))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2 + 15\/6. Let v(x) = 3*x**2 + 2*x - 23. Let w(i) = 14*i**2 + 11*i - 116. Let c(m) = a*w(m) - 11*v(m). Differentiate c(n) wrt n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 252 = 10*n. What is the highest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 1073610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 78, 117, 156?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 2 (c) -0.048 (d) -2 (e) -721\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*i + 20 = 0, -3*o - 8*i = -10*i + 10. Let g(t) = -4*t + 10. Calculate g(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-1)\/sqrt(5) + sqrt(234) + sqrt(234)*2)\/(-2*sqrt(1800) + sqrt(1800)).\nAnswer: -4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.999? (a) 8 (b) -3\/8 (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**6\/6 + 11*m**4\/4 + 2*m**3 - 14*m**2 - 24*m + 285. Let z(g) = 0. What is g?\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*x**3 - 1263*x**3 - 969*x**3 - 884*x**3.\nAnswer: -2700*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 362. Give r(-88).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.952 - 2.452. What is the closest to -3 in -1\/96, -4\/7, d?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*m - 6 = 0, 0 = 3*q + m + 3*m - 21. Let i = -4 + 8. Solve -4 = 4*u - i*k + 8, 3*u + q*k = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 3*n + 2. Let h be g(-3). Solve t = -4*t - 15, -x = h*t + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**0))**(-29)*(x**0*x)**(-38) assuming x is positive.\nAnswer: x**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiyiy. What is prob of sequence yi?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3\/2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**6\/2 - 14*k**3\/3 + 35*k. What is the second derivative of i(n) wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2030221 - 0.203. Round n to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194936 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -171, -320, -469, -618?\n\"Answer: -149*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, z: 8, p: 9}. Give prob of sequence ypzp.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2092*p**2*s**3 - 25*p*s**3 - 7*s**2 + 4 wrt p.\nAnswer: -4184*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - -283. Let q = s + 563. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -560805.03400227 - -560938.034. Let b = -133 + c. What is b rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (2 + -1)) + 7 - -1 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-26 - -20 - -9)) + -1 + -20\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878*p**2 + 1245*p**2 + 358*p**2 + 1610*p**2 + 323*p**2 - 2.\nAnswer: 4414*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 2. Let s be x(-2). Let m = 172042\/1901 - 3\/3802. Let o = m + -91. What is the closest to s in -2\/9, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593368\/11 at least 53944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 9) to base 2.\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.18329nm in meters?\nAnswer: 0.00000006818329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 36. Suppose r + 5*u = m, 0*u - 80 = -2*r + 4*u. Let o be 2190*(-4 - r\/12). Round o to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 + 4*s + 7. Give j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/7 - ((-14)\/8 - -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3996 - 35914\/9. Let y = -6 + 9. What is the common denominator of o and (19\/(-1))\/(y + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 - w**2 + 0*w**2 + 4*w - w**2 - 4*w + (-3*w**2 + 3*w**2 - w**2)*(-3 - 4 - 2) as z + s*w**2 + q*w and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkktkktkktkkkkkkkk. Give prob of sequence ktt.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 - 5*d - 3. Let j be g(-5). Let o(a) = -3*a**2 + 4*a. Let f(u) = 3*u - 17*u**2 - 15*u**2 + 30*u**2. Give j*o(h) + 4*f(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29415596*k + 0 + 9*k**2 + 0 - 7*k**2 - 29415786*k.\nAnswer: 2*k**2 - 190*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/241872 <= 0.101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 361648 divided by 4\nAnswer: 90412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3220 is divided by 549.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16572635?\nAnswer: 5, 3314527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 11:17 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j - 35 + 0*j**2 + 1\/3*j**3. Let q(h) = -32*h. Determine q(z(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.306 and -16.\nAnswer: 4.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-70) + 4\/(-10). What is the nearest to 1 in 0.4, p, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 786 - 558. Calculate the highest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751533659?\nAnswer: 3061, 245519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1899\/(-29118))\/((-2)\/4)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 7, e: 2}. Give prob of sequence eev.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-387495)\/(-37740) - 10) + (-4)\/(-34) and -25\/407.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*f - 93 + 37 - 131 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine thirds of a minute in seconds?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*t - t + 12, -3*r = -5*t + 20. Let c(y) = y**2 + 10*y - 35. Let g be c(-15). Let m = 62 - g. Solve 5*s + v + 3*v = m, r = 5*s + v - 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45620, 93487, 141356, 189227, 237100?\nAnswer: 284975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p**4 + 20755*p**3 + 1261685*p**2 - 998515*p - 283970 = 0. What is p?\nAnswer: -389, -73, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1194*n - 126*n - 406*n in the form z + a*n and give a.\nAnswer: -1726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313 - 17594508.\nAnswer: -17594195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11140560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 7:31 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*s + 23 = -17, -2*g + 10 = 5*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188010 and 120?\nAnswer: 752040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**2 + 1. Let p(a) = 1211*a**2 + 372. Let s(u) = -2*c(u) + p(u). What is the first derivative of s(z) wrt z?\nAnswer: 2390*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*v + 288 = 201*v - 424*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 12. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, p: 6, d: 4, t: 4}. What is prob of picking 1 x, 2 d, and 1 p?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 35, 48, 63, 80, 99?\n\"Answer: k**2 + 8*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -18 + 38*f**2 + 32*f**2 + 31 + 5*f - 64*f**2. Let a(u) = -11*u**2 - 9*u - 25. Calculate 4*a(x) + 7*l(x).\nAnswer: -2*x**2 - x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + d**4 + 5*d - 14298*d**3 - 3*d**4 + 14302*d**3 to w*d**2 + h*d**4 + i*d + v + g*d**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 17 + (-8 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y + 10. Let i be s(-4). Let x be (-2)\/i*(-2 - -7). Let k be (6\/x)\/((-26)\/(-65)). Solve -6*o + o + 37 = 3*l, -23 = -k*o - 2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + -15. Let k = o + 20. Which is bigger: -6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 146. Let l(q) = -q + 295. Calculate -3*l(i) + 5*x(i).\nAnswer: -2*i - 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/900 and 49\/24900?\nAnswer: 74700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -167820.3 and 0.02.\nAnswer: -167820.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(1\/7)))**49*n**12*n*n**(25\/3) assuming n is positive.\nAnswer: n**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(27)*-1)\/(sqrt(54)\/(sqrt(12)\/sqrt(2))) - ((sqrt(75) - sqrt(3)) + -3 + 6*-1*sqrt(3)).\nAnswer: 3 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2890 = -x + 3*g - 2864, 2*g + 26 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.43 to 0 decimal places.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/481 not equal to 1.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkyypvl. What is prob of picking 1 p, 1 y, and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*((-4*(sqrt(88) + sqrt(88)*4))\/(sqrt(8) - (sqrt(8) - sqrt(2400)\/sqrt(3))))**2.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6767632 or 6767619?\nAnswer: 6767619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmm when three letters picked without replacement from {m: 6, f: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 270176*o**2 + 229716 wrt o.\nAnswer: 540352*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 2725630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1415 + -0.3415. Let j = 497\/4 + -125. Which is the third smallest value? (a) j (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310982697?\nAnswer: 3, 61, 566453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0*v**2 + 3\/20*v**5 + 0 + 0*v**4 + 1\/3*v**3 - 2*v. What is the second derivative of l(u) wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.009, 4, 5, -2\/9 in decreasing order.\nAnswer: 5, 4, -0.009, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -2385745581754.\nAnswer: -2385745581754.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 280317 divided by -6837\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*j + 16. Suppose 5*o - 2*w - 3*w - 10 = 0, -3*w = 2*o + 6. Suppose o = h - j - 2. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143659, 287296, 430929, 574552, 718159, 861744, 1005301?\nAnswer: 1148824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 925 and 185?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3 - 3. Let q = -5 - -5. Let n(w) = q + 0 - w - 1. What is n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7587 and 40419.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11070537943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1343042333 - -1?\nAnswer: -1343042332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16473*c**3*t**3*u - 24*c**3*t*u - 3*c**2*t**3*u**2 - 8*c**2*t**2*u**2 + 4*c**2*t**2*u + c*t*u - 2*t**2*u**2 wrt t.\nAnswer: 98838*c**3*u - 18*c**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4114 - 4114. Which is the closest to -6? (a) q (b) 0.2 (c) 0.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -9*a**4\/4 - 4*a**3\/3 + 4*a**2 + 6205*a + 2458. What is the first derivative of p(b) wrt b?\nAnswer: -27*b**2 - 8*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m**2 + 9*m - 9. Let y be s(-10). Let k = y + 2013. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1544.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5 = 6*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {m: 8, z: 5, n: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 47 - 36*c)*(-4 + 1 + 2)*(-2*c**4 + 3 - 3).\nAnswer: -72*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12333 (base 4) to base 15\nAnswer: -1ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29881194 divided by 3\nAnswer: -9960398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127170262.\nAnswer: 2, 877, 72503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-6))\/(24\/(-60)))\/(51\/153).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2819506453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*16\/((-880)\/(-33))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 239?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 8:04 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 20*t**2. Let n = 100 - 75. Let q(d) = -3*d**2 + n*d - 25*d. Give v(q(u)).\nAnswer: 180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 18 + 37 = 0. Let o(w) = 11*w - 1. Let a(j) = -2*j + 1. Let l(q) = v*a(q) - o(q). Let k(d) = 4*d + 21. Give 2*k(y) + 11*l(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321217960 a multiple of 14372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 24*u**2 + 36*u.\nAnswer: 4*u*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 t, and 1 g when four letters picked without replacement from gcutcgrtcccg?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + a - 249 = -7*m, -5*m + 1210 = -2*a. What is the remainder when m is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 13*g**2 + g - 15. Suppose -b - 5*y + 23 = 0, 99*y - 98*y = -3*b + 41. Calculate f(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 58 = 4*k, 52230*k = 52230*k - u + 2 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 107, 125, 161, 221, 311?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {d: 1, g: 2, s: 2, k: 1, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 7 (b) -0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-63)\/(-5) - (-9)\/(-15). Let v = t + -10. Suppose -v*d + 90 = d. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 17*l + 57. Let x be t(-4). Let m(a) = 2*a - 4. Let i(j) = 6*j + 10. Let v(n) = n + 2. Let y(f) = -2*i(f) + 11*v(f). What is x*y(u) - 6*m(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 48*o - 2. Does 50 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 3. Let y be m(4). Suppose -2*f + 45 = -y*x, -3*f = 2*f - 4*x - 104. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416195.801491 + -416196. What is i rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**3\/4 + 9*y**2\/2 + 5*y\/4 - 3\/2.\nAnswer: (y + 1)*(y + 2)*(7*y - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 11. What is the remainder when 11 is divided by ((-6)\/8)\/(3\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68668545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1554198 - -1827736733\/1176. What is the common denominator of 61\/1176 and r?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16049523 + -18371.\nAnswer: -18371.16049523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 245498167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/360 - s**4\/12 + 2*s. Let o(v) be the third derivative of z(v). Let p(j) = -2 + 4*j + 2. What is p(o(m))?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 212.9158mm?\nAnswer: 0.0002129158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 greater than or equal to -15653\/350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 27*a + 1590 = 0. Suppose -247 = 3*o - a. Solve -2*k - 15 = -3*g, 4*g - k = 9 + o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1083\/376 or -2?\nAnswer: -1083\/376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 59 + 2*a + 30 + 45 - 71 to the form g*a + p*a**2 + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2942595?\nAnswer: 3, 5, 71, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 56*p + 124*p = 66*p + 42, 210 = 5*k - 9*p for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 + 84\/18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, 237, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f. Let o(c) = 6*c**2. Calculate o(z(x)).\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)*i**16 assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12344, 11370, 9746, 7472?\n\"Answer: -325*s**2 + s + 12668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 330403001?\nAnswer: 330402554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3153 divided by -3.\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {q: 15, z: 5}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 384 = 4*h. Let p = h - 2686\/21. Sort -5, 1\/5, p.\nAnswer: -5, p, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1043 - 12c2?\nAnswer: -2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/3510 and -83\/65989404.\nAnswer: 329947020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36146992 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4\/11 - 4760*b**3\/11 + 2827436*b**2\/11 + 5669160*b\/11 + 2836962\/11 = 0?\nAnswer: -1, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 4*z + 4. Let a be r(-3). Let x be (11\/165)\/(6\/(-10)). Which is greater: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/267015 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4875 + 4875 - 61163*l + 25246*l - 134608*l.\nAnswer: -170525*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1 + 0 + 1 + 0 + (-3 + 5 - 1)*(0 - 1 + 0) - 1 + 1 + 2 + 1 + 3 - 7 - 1 + 5 - 3 + (2 + 1 - 1)*(1 + 1 + 0) - 2 + 6 - 3)*(o - 4*o + 2*o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u + 2. Let z(h) = h**2 - 85*h - 9. Give z(m(r)).\nAnswer: 121*r**2 + 891*r - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*2*sqrt(605) + sqrt(605))**2 - 2*((sqrt(25) + sqrt(75)\/sqrt(3))\/sqrt(5) + sqrt(5)*1*5)**2.\nAnswer: 616*sqrt(5) + 29171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208763?\nAnswer: 331, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 4, -18, -38, -50, -48?\n\"Answer: k**3 - 8*k**2 - k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b - 3*b + 2*u, -4*u + 2 = -3*b. Let f(h) = h**2 - 3*h + 1. Let z be f(b). Let a = z + 4. Solve -c + o = -a, -5*c + 3*c - 5*o + 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431110 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0762 + -10.0762. Let p = 2.6 + 1.4. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 632\/44 - 116\/319.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 31*z - 128. Let s be q(-26). Solve 3*h = 4*l - 5, 3*h - 3 + s = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 26*s - 12. Suppose 6 - 26 = -4*k. Let l be b(k). Suppose -3*u = 2*g - 54, -u - l = -0*g - 5*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53238 and 101806.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 972 + -441. What is the greatest common divisor of r and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = l - 8, 3*z - 4*z = -2*l + 34. Is (69\/9 + -4)*l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:40 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4737 * 0.19.\nAnswer: 900.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = 10 + 46 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 37719.2853 to the nearest 100.\nAnswer: 37700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 14*q**2 - 16*q + 22. Determine o(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 23 + -10 + (-2 + 1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 539000 and 440.\nAnswer: 539000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/9 - 58\/18. Let s(o) = -2*o + 6. Let a be -6 - (-1664)\/286 - (159\/33 - 1). Let g(p) = 2*p - 6. Give a*s(v) + j*g(v).\nAnswer: 2*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Suppose -5*p + 2*i + 45 = -3*i, d = -2*i. Let g be 2\/p + 60\/16. Solve 0 = g*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, -679, 2\/15?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 324616421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4218 - 16236. Let y be (-4)\/(-22) - n\/(-33). Is y\/(-10) - (-18)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)\/(1\/(-4)). Suppose f + 2*i + i = 21, -g*f + 3*i = -129. Let c be -3*(-5)\/f*0. Solve c = 3*d - 3, 4*d - 2*d = 2*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus -5445491927?\nAnswer: 5445491927.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 5:47 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 = 42. Let a = j + -7. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*v - 89*v - 50. Let o(s) = -3*s + 8. Determine o(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4710 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6802 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: Evaluate ((-8)\/(-5))\/((-5248)\/(-160)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -7*v**3\/6 + 5*v. Let u(n) = 2*n. Let k(p) = p. Let o(z) = -11*k(z) + 6*u(z). Calculate g(o(c)).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 203.24*-4\nAnswer: -812.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -192, -1688, -5752, -13668, -26720?\n\"Answer: -214*i**3 + 2*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjukhvd. What is prob of picking 1 u, 1 j, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 29*w + 21. Give m(-22).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566900 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**6*n - 20768*j**3*n + 2*j**2 - 2287*n - 4 wrt j.\nAnswer: -120*j**3*n - 124608*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(108)\/sqrt(4))**2 + sqrt(15)\/(sqrt(245) + (sqrt(245) - sqrt(245)*-2) + sqrt(245)).\nAnswer: -419*sqrt(3)\/35 + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 5*i - 2. Let j(f) = -5*f + 6 + f**3 + 5*f + 2*f**2 - 10. Let r be j(-2). Give o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukhuuhhk. What is prob of picking 2 h and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**3 + 5*a + 5. Let w(y) = -52*y**3 - 100*y - 44. Let c(i) = -6*i**3 - 11*i - 5. Let u(k) = 56*c(k) - 6*w(k). What is -16*s(d) - 5*u(d)?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbyocsoobybybbyo. What is prob of sequence osc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 23. What is the remainder when 96 is divided by z(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*630.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:46 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, -92, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106145 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*l + 3*b, 4*b + 2 + 6 = -3*l. Suppose -170 = -l*y - y. Is (y\/(-8))\/(1\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11114810 is divided by 3704907.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 6*a - 5. Let c be i(6). Let f = -3 - c. What is the first derivative of 4*v**4 + f + 0 - 2*v**4 wrt v?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 + 2*g**2 - 29*g + 47. Let o(h) = -h**3 + h**2 - 11*h + 16. Let v(y) = -3*d(y) + 8*o(y). Calculate v(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.952444 to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/11 + (-679)\/77. Let a be 95879\/14 + 6\/4. Is 2\/f - (a\/(-45) - 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -84*c + 32. Let a be f(-4). What is the highest common divisor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1100110000?\nAnswer: 1100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-24)\/(-48))\/(13\/52).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 24. Let b be z(21). Solve v - b*m - 10 = 2*v, -2*m = 2*v + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219915703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = -5*b, 10078 = 4*f + 2*b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1273, -0.1, -3\/2, 0.9, -5\/2, -15, 13?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjnzjnjjjz. What is prob of sequence jn?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21)\/(-3 - 17\/(-7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p + 26 = -2*j, 4*j - 5*p = 8. Sort 6, j, 0 in descending order.\nAnswer: 6, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 57 + -3 - 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6055 - 2*q + 6057 - 18174 + 6062.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6\/13, -0.1, 0.3, -1 in decreasing order.\nAnswer: 6\/13, 0.3, -0.1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57135945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55990 and 110?\nAnswer: 55990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13176, 25261, 37346?\nAnswer: 49431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2. Let i be -18*93\/(-4)*(-20)\/(-30). Suppose -4*n + i = -c. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.294 rounded to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*u**2 + u**3 - 88*u**2 - 337*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 (base 11) in base 13?\nAnswer: -29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyiyyjzyyjajyiyyiiiy. Give prob of picking 1 i, 1 y, and 1 z.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 39. Let b = 14 - p. Solve -j - b*j - 4*a = 15, 3*j + 15 = 5*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {i: 5, h: 1, q: 3, t: 1, b: 3, m: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1200))**2*-4.\nAnswer: -19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 311 = 3*b, -5*b = g - b + 308. Let p = g + 324. Solve -z = -5*t - 0*t, -p*z = -5*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 22 - 174 = -5*u, 5*r + 60 = u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16320 + -7391. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 46. Calculate the highest common factor of 418 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4321 and 6376752?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + g + 5, 21*l = 23*l - 5*g - 25. Solve l = 2*i - 0*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 10. Let k be a(7). Calculate the common denominator of -57\/2 and k\/(-4)*(-20)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**3 + 53*z**2 - 1218*z + 2277. Give f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 - 1232 + 3642 + 3776)*(5*f - 5*f + f).\nAnswer: 6101*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32b23 (base 13) to base 5\nAnswer: -10420330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**5 + 7*x**4 + 4075576*x**3 - 245374790*x**2?\nAnswer: -120*x**2 + 168*x + 24453456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.17 minus 0.0319?\nAnswer: -9.2019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7\/39, -2\/11, 0.2, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, -7\/39, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 496314 and -7997362.\nAnswer: -7501048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 391 = -5*d - 366, -5*j = -5*d - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -24*k**2 + 23*k - 88. Calculate p(8).\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 10:08 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 2, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16856140 divided by 3371228?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*f + 1481 = 4*p + 285*f, -1547 = -4*p - f. Suppose 0*g - 72 = -3*g. Calculate the highest common factor of p and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 + s**2 - 5*s**2. Let h(o) = -1779*o**2 + 3541*o**2 - 1765*o**2. Give k(h(b)).\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) 3 (c) 5 (d) 527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.5 (b) -1 (c) 3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15708 divided by -204?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-24)*(144\/(-15))\/4. Let v = -0.1 - -0.1. Put v, t, 4 in descending order.\nAnswer: 4, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*g + 49. Let w be (-1)\/(-3) - g\/6. Let n be (12*(-3)\/(-2))\/2. Solve -4*v - w = b, -4*b + b + 4*v = n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963234 divided by -481617?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4371.88ng?\nAnswer: 0.00000000437188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 3*f + 21 = -3*m, -2*f + 18 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*n - 109*n - 73*n - 50*n to w*n + r and give w.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 7 = -6*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*t + 338. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -433.2 - 5244.8. Let u = w - -5674.089. Let q = 0.021 + u. Round q to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 295.3\nAnswer: -291.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*i)*(17442 + 6*i - 4*i - 16535) in the form f*i**2 + l*i + u and give l.\nAnswer: 1814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 5*g + 5. Let f be n(-2). Suppose -3*x - 39 = -4*h, -3*h + 4*x - f*x = -23. Solve 2*s - h = 4*b, -2*s - b + 4 + 2 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8369 - 8367. What is the second biggest value in 0.1, g, -4, -0.09?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.71, -8, -2, -57, 2 in decreasing order.\nAnswer: 2, 0.71, -2, -8, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(11) + sqrt(11)*1)*2 - (sqrt(66)\/sqrt(2))\/sqrt(3)) + -5)*-2.\nAnswer: -6*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*l - 52*l - g + 80, 3*g + 355 = 4*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*n = -3*x + 17, 4*n - 28 = -4*x. Solve 4*o = -5*t + 36, -x*o + 3*t + t = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, -0.5, 0.1, 169\/7, -67?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4047 and 950?\nAnswer: 202350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g - 22 = -2*w - 26*g, 5*w - 22 = -g. Suppose w = z, 4*h - 4*z = -5*z - 3. Let q(f) = -f. What is q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.77681 - -4.78. What is v rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/5)\/(2\/(-10)). Let y(l) = -140 + 236*l + 147 - 231*l + l**2. Give y(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 9:24 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Suppose q = -x*q + 12. Suppose -q*s + 0*s - p + 80 = 0, 4*s - 4*p - 80 = 0. Solve -2*o - s = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(1 - 0)*-1. Suppose 4*o = 2*v + 1 - 13, 2*v + 4 = 0. What is the units digit of 8 + (o - (-2 + g))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:44 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 34 = j, 4*s - 2*j + 26 - 88 = 0. Let p = 597 + s. List the prime factors of p.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25583433.00351 - 25583696. Let l = m + 263. What is l rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 629*m*q**3 - 3950*m*q**2 + 18*q**4 + 10*q**3 - 46*q**2 wrt q.\nAnswer: 3774*m + 432*q + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 - 33*x - 109. Does 27 divide j(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-6)\/18*0. Find the third derivative of -11*c**3 - 2025*c**2 + 0*c - 2*c + 2024*c**u wrt c.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.157 in 4, 3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*1 + 3)**2 - (-2*sqrt(84)\/(sqrt(12) + sqrt(48)))**2.\nAnswer: 24*sqrt(7) + 1061\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -966.8368 less than 0.2?\nAnswer: 967.0368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12740 is divided by 196.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - m + 6. Suppose 18*j - 24 = 16*j. Let w = 7 - j. Calculate q(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2124 - 2118 - 2122 + 6364 - 3*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-120) + ((-13)\/8)\/13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42515487?\nAnswer: 3, 7, 17, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 + 409*a**2 + 3688*a - 22. Determine l(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 2*t**2 + 3*t - 5. Calculate b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4070 + 4070 - 1288*f)*(0*f**2 - 4*f**2 + 0*f**2).\nAnswer: 5152*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18763.12 + -18435. Let d = -328 + r. Let m = 3\/49 + -254\/147. Sort d, 2\/3, m, 3 in increasing order.\nAnswer: m, d, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/154001 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -18878754?\nAnswer: 18878760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/9 - (-12)\/(-9). Factor -2\/5*u + 2\/5*u**3 + 0 - 2\/5*u**2 + 2\/5*u**i.\nAnswer: 2*u*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 0.19, -3\/4, 0.14?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 11:36 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-120))\/(20\/(-12))*52?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 618573199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14827100 and 3.11.\nAnswer: -14827096.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -91.\nAnswer: 91.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 29*z + 39 - 101*z + 71*z. Let l(m) = 16*m. Calculate v(l(a)).\nAnswer: -16*a + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36837*x + 47505*x - 62170*x - 48334*x.\nAnswer: -99836*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 240*u + 14362. What is k(114)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-11)\/(-33) + (6008\/6)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.9? (a) -2 (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 4*z**2 - 2*z. Let c(j) = -3*j**2 + j**3 + 6*j**3 - 2*j - 5*j**3. Let w(b) = 6*c(b) - 5*i(b). Let x be w(1). Solve -m = m - x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 9*y**4 + 24 - 10 - 8. Let z(j) = -j**4 - j**3 - 1. Let v be (-11)\/(-55) - 29\/(-5). Let w(x) = v*z(x) + c(x). Suppose w(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -51, -2 in decreasing order.\nAnswer: 1, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.7 - -38. Let r = -2.97 - 0.03. Which is the nearest to 0.1? (a) -2\/13 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 18. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-three fifths of a kilometer?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 + 113. Calculate the remainder when (-1 - -12)\/((-2)\/(-4)) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*v - 15419 - 147948 = 100633. Is v equal to -2200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0 + 2*g + 683333\/2*g**3 - 3*g**2. Let w be h(-6). Round w to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365696490 a multiple of 417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2. Let d be n(2). Suppose -5*i = -i - d. Let o(h) = h**2 - 6*h + 8. What is the units digit of o(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*i**2 + 37*i.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + -208. Let h(l) be the first derivative of -l**2 - 1 - 1\/3*l**3 + f*l. Determine i so that h(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31568 or 31566?\nAnswer: 31568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d + 22 = -37*d. What is the greatest common factor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7554638*h**5 - 11699*h + 55 wrt h?\nAnswer: 151092760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57704 >= 57704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -300977 times 1172?\nAnswer: -352745044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 7 = -m, -3*g + 8 = -6*m + 4*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10110330?\nAnswer: -10110323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.92306 + -4.52299. Let w = o + 1.6. Round w to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21546 + -83784. Round v to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -180047*z**2 + 360098*z**2 + 2*z + 5 - 180049*z**2. Let u(f) = f**2 + f + 1. Determine -u(x) + y(x).\nAnswer: x**2 + x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*a**3 - 8138*a**2 + 3881*a - 107 wrt a.\nAnswer: 270*a - 16276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-12) - 5\/10)*6. Solve 10 = p*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((15\/((-120)\/32))\/(-6) - 0)*15. Solve 5*m - q = 0, -2 = 3*l - 4*m - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-25)\/15)*-1. What is the highest common divisor of 5 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 757*f**2 + 81591*f\/2 + 41553.\nAnswer: (f - 1458)*(f - 57)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-39) + (-7 - (-2684)\/143)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 11, -2, -26.25, 1\/18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.1. Let h = -162 - -163. Suppose 10*n + 21 = h. Put n, 0.2, 2, x in descending order.\nAnswer: 2, x, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**6\/15 + 37*f**5\/10 + 31*f**4\/6 - 59*f**3 + 108*f**2 - 214*f. Determine z so that h(z) = 0.\nAnswer: -36, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9143 and 5.\nAnswer: -4.5715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/8448 and 65\/2112.\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 - (52 - (74 + 19)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 42 = u. Suppose -3*p + k + u = -31, 4*k = 4*p - 60. What is the greatest common divisor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 683*m**4 - 690*m**2 + m?\nAnswer: 16392*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + -1 - -4)\/2. Suppose -25 = -5*g - 5*u, k = 4*g - 3*g + 2*u - 6. Suppose g*q - 176 = 164. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 172 (b) -0.23 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.940434 rounded to two dps?\nAnswer: -43.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*f - 83, -332 = 4*j - 2*f - 0*f. Let l = 88 + j. Suppose -l*u = -4*r - 8, 0*u = 2*u - 8. Solve -4*t = -15 + r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -11*w + 102. Calculate the remainder when 899 is divided by d(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70 + 53075541?\nAnswer: 53075631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 13*s = 8*s - 40, 2*s + 18 = 3*n. Let v be 1 + (1 - 2) + 2. Suppose -v*b - 6 = -n. Sort -0.07, -1, b in decreasing order.\nAnswer: -0.07, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -h + 34, 2*h - i - 6 = 7. Suppose u - h = -0*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*t = -888. Let a = 453 - t. What is the highest common factor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = 32*v - 1290. Calculate the greatest common divisor of 360 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 1715.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32260 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, t: 2}. What is prob of sequence uttu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.19145151 to one dp.\nAnswer: -103.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 2. Let k be o(2). Let u be (-9 - k) + 3 + 0. Factor -u - 10 + 48*s + 0 - 21*s**2.\nAnswer: -3*(s - 2)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(57)*-1)\/sqrt(192).\nAnswer: -sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -44, 10 in descending order.\nAnswer: 10, -3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooyooyyooyyoo. What is prob of picking 3 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/4))**(-4\/5)\/(x**11)**48)**17 assuming x is positive.\nAnswer: x**(-44897\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -n - 14, 42 = -19*n + 112*x - 111*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 11. Let f be b(-4). Let x(k) = k**2 - 13*k - 73. Calculate the remainder when x(f) is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 divided by -6?\nAnswer: 171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i**2 + 23*i**2 + 93*i - 20*i**2 - i**3 + 5*i**3 - 22*i**2.\nAnswer: 4*i**3 + 93*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45)\/(-54)*6*1 + -3. Solve -4 + 2 = t*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31809*i**4*y**2 + 8*i*y**2 + 17*i - 15*y**2 - 2*y wrt i?\nAnswer: -381708*i**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 11)*(-11 + (-1245)\/(-120)). Solve 5*z - y = -5*g, -z - 5*g + 5 + 0 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2*-1) + 16. Suppose 22 = 4*v - 3*l, -4*l - l + y = v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 5*y + 0*y**2 - 4\/3*y**3 + 4. Differentiate r(q) with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*n + 5, 4*n + 3*q - 8 = -q. Suppose 0 = -4*r - 5*d + 167, -n*d + 0*d = r - 23. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 206927, 413860, 620805, 827768, 1034755?\n\"Answer: i**3 + 206926*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:47 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -54*y - 726. Let v be m(-15). Calculate the greatest common divisor of 560 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 18 = 2*g. Solve -g*w = -w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 81 - s + 47 + (0*s - 3*s + 4*s)*(-2 + 2 - 3) - s + 0*s + 0*s)*(-1 + 2*s + 1)*(0 + 2 + 2).\nAnswer: -40*s**2 + 56*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/1715*((-10)\/(-15) + (-12)\/8).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00244510739 rounded to five dps?\nAnswer: 0.00245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-35))\/1 + (-54)\/90. What is the nearest to 7\/5 in a, 0.11, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a. Let w(g) = 5790918*g. Calculate p(w(d)).\nAnswer: 17372754*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 441 - 439. Suppose 0 = -3*u + 3*k - 6*k + 12, -8 = 2*u - p*k. Solve u*r - 7 = 2*a + r, 4*a - 4*r + 32 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*d - 5*n, -3 = d + n - 5. Let a be (4 + -2)\/(d + -19). Let p be (1\/5)\/((-2)\/(-2)). What is the third biggest value in p, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-65) + (-44)\/(-10). Suppose j - u - 3*u - 15 = 0, -3*u = w*j - 3. Factor 2*y + 1 + 0 + 0*y - j*y**2.\nAnswer: -(y - 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 22 = 3*v - 175, -2*f + 4*v = -60. Let g = f + -40. Let z(p) = -p**2 + p - 1. Let u(n) = -2*n**2 - 4*n + 3 + 8*n - 6 - 1. Calculate g*z(t) + u(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r - 3*u + 209, -5*r - 3*u = -262. What are the prime factors of r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/120 - f**5\/10 - 7*f**4\/24 - f**3\/3 - 79*f**2. Determine t(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -19145*u + 76531. Determine d(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -406*s*x**3 - 14*s*x**2 - 354*s*x - 25*x wrt x.\nAnswer: -2436*s*x - 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2604 is divided by 402?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 54*r + 653. Calculate m(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -63, 5, 3233 in decreasing order.\nAnswer: 3233, 5, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157179838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 317675553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -5 - 1 - -1. Let a = -14 - -9. Let y(u) = u**3 - 22*u**2 + 21*u + 4. Let f be y(21). Put f, a, p in ascending order.\nAnswer: a, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d**3 + 7*d + 3. Let s(f) = -7*f**3 - 7*f - 4. Let u(p) = -5*l(p) - 6*s(p). Let q(v) = v**3 + 3*v + 4. Determine -14*q(i) + 6*u(i).\nAnswer: -2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*j + 20*j - 10 + 10 = 0. Is j greater than or equal to 3\/5860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2\/((h*(h**(2\/7)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1051099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7906992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -630 in 1\/2, 33, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = 5*v. Let o be (v - -4 - 3)*-1. Suppose -14 = 4*a - o. What is the nearest to 1\/3 in 2, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 1.5. Which is the nearest to g? (a) 2 (b) -3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1647 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -12.013. Let s = -784.113 - -783. Let h = s + q. Which is the closest to -2\/3? (a) -1\/8 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q - 40. Let b(t) be the third derivative of -t**4\/12 + 11*t**3\/6 - 2*t**2. Is b(q) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6468330 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216071.\nAnswer: 216071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13\/6 + 3\/2. Suppose -m = -4*m + w - 4, -2*m - 5*w = 31. What is the third biggest value in m, g, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 56 and 61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 1. Let l(u) = 14*u + 4. Give -11*b(w) - 4*l(w).\nAnswer: -w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1514.3 + 1514. Which is the second biggest value? (a) j (b) -2.7 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g + 1334. Let r(s) = -s**3 + 2*s**2 + s - 2. Let y be r(1). Let l be n(y). Find the common denominator of 16\/56 - l\/112 and -53\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -f - 5*c, -5*f - 5 = -5*c - 0. Let g be 3\/f*15\/(-321). Let r = g + 187\/963. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 2:04 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*z - 20, 1 = -z + 3*j - 6. Let k be 3136\/540 - z\/1. Let t = 38\/27 - k. Find the common denominator of -77\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/3 (c) -4\/2681\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18344409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpim when four letters picked without replacement from {m: 3, p: 1, d: 1, a: 1, c: 2, i: 4}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose 2*o - 1 = -l*f + 8, -3 = -3*f. Suppose 0*p + 6 = 2*p. What is the highest common factor of p and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-165))\/(36\/120).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*v + f - 40, -2*v - 4*f + 12 = 0. Let h = -544 + 554. Solve -o + 2*o + v*b - h = 0, -5 = -b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -2\/9, -2, 36 in increasing order.\nAnswer: -126, -2, -2\/9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6 and 109\/37956.\nAnswer: 37956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -308 - -216?\nAnswer: -f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18 + (1 + 3)\/4. Let z = -20673 + 20674. Sort j, z, -4.\nAnswer: j, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 0.3, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25875031888 - 8501.\nAnswer: -25875040389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 2*f**2 + 3*f + 2. Let a be y(-2). Let c be ((-47)\/188)\/((-1)\/a). Solve 5*j + l + 16 = 0, -2*j + 5*l - 16 = -c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 309283?\nAnswer: 927849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305469.\nAnswer: 3, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(10\/9)*t**(29\/5))\/(t\/(((t\/((t\/((t\/((((t\/(t\/t**21)*t)\/t)\/t)\/t))\/t))\/t))\/t*t)\/t)*t*t\/(t\/t**(-5))*t) assuming t is positive.\nAnswer: t**(-454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14147264 divided by 13003\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.79294\nAnswer: 0.158588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - ((-3240)\/16)\/(-27). Which is bigger: w or -3.08?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(3 + -4) + -4. Put -0.1, -7, 4\/9, f in decreasing order.\nAnswer: 4\/9, -0.1, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170310 divided by 42\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 176 = -3*g + 167, -9 = 3*o + 5*g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 15. Let k be i(-11). Let n be (-1)\/8*k + 0. Let x = -0.6 + 4.6. Which is the nearest to 0.01? (a) -1 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18)*((-216)\/(-30))\/4. What is the closest to -3 in -2, n, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 253*r**3 + 2*r**2 - 18*r + 47. What is the thousands digit of b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(567) + -5 - (2 + (-1 + sqrt(567) - sqrt(567))*-6)) + -5)**2.\nAnswer: -288*sqrt(7) + 823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405) + -1*sqrt(25)\/sqrt(5) + -3)**2.\nAnswer: 114*sqrt(5) + 1814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 4) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.048 in -0.11, 0.07, -0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3, 0 = p - 2*p + 3*p + l + 126 - 133 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtqy when four letters picked without replacement from {t: 8, y: 3, q: 7}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 76 = x, 10*g + 212 = 3*x + 6*g. Let j = 105 - x. Calculate the remainder when 68 is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d1 + -62?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 o when three letters picked without replacement from oxfbg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2826 + 1634. Let b = 2166 + y. List the prime factors of b.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 32 = 2*f. Let c(r) = -3*r**2 + r**2 + f*r**2 + 0*r**2. Let i(t) = -t**2 + 1. Let o(a) = 3. Let y(k) = 3*i(k) - o(k). What is y(c(w))?\nAnswer: -108*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71886*b - 2327*b + 9204*b.\nAnswer: -65009*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161160975 is divided by 98209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 + 90. Suppose 10*q + 25 = d*q. Suppose q*w = -37 + 592. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5280, -5282, -5284, -5286?\nAnswer: -5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15250000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.7? (a) -4 (b) -1 (c) 0.5 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.1 - 18.131. Let m = w + 2.331. Round m to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5 + (-153)\/(-45)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 11. Let j be 12 - 6\/4*-2. Suppose -t = -f*t + j. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264\/(-40) + 7)\/(0 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) 18.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 418, 404, 396, 394, 398, 408, 424?\n\"Answer: 3*l**2 - 23*l + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + m - 7. Let z be i(0). Let h = z - -10. Suppose h*u - 246 = -9. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621851?\nAnswer: 19, 23, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-2)\/((-6)\/5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2 = -2*o. Let t = o + -2. Let q(a) = -a**3 - a**2 + 1. Let j(p) = 23*p**3 + 27*p**2 + 4*p - 5. Let h(g) = t*j(g) - 5*q(g). Factor h(k).\nAnswer: -2*k*(k + 1)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 570 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - 100111021112?\nAnswer: -100111100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ekkkn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4*q**2 - 3530*c**3*q**3 - 57*c**2*q**3 - 3*c**2*q**2 wrt c.\nAnswer: -48*c*q**2 - 21180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 337752117 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5 + 4 + 0 + 4083*h - 5. Let u be x(2). Suppose -b - 1644 = -q, 0 = 5*q + 4*b + b - u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -7. Suppose i + 3*i = r. Suppose 3*k = 4*k - 2. Solve -k*t + 4 = -i*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(40))\/sqrt(8)*-2 + 3)*1.\nAnswer: 3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8800 = -35*f + 25*f. List the prime factors of f.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(5\/(-5)))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201639.159999 + -201639. Let x = o - 0.16. What is x rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 642 and 318660231.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**3 - 32*m**2 - 179*m + 743. Calculate p(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 244*w**3 - w - 240*w**3 + w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11524 + 124?\nAnswer: -11400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*p + 0 + 3*p + 3*p - 5*p + 1 - 1 + p + (-1 - 2 + 0)*(2 + p - 2) + (-1 + 0 - 2)*(-54*p + 29*p - 45*p).\nAnswer: 207*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280269\/34118 + 1\/2437. Calculate the common denominator of j and 143\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12*-14*1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17019965 by 755.\nAnswer: 22543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - ((-24 - -2) + -21 + 45 + -33).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -0.8 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v - 2. What is the tens digit of y(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*j - 1. Let y(p) = -p - 4. Let h be y(j). Calculate the greatest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 11:44 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 24*b**4 - 4*b**3 + 16*b**2 - 16*b - 20. Let a(w) = w**4 + w**2 - w - 1. Let h(c) = 20*a(c) - j(c). Factor h(p).\nAnswer: -4*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*f = 101*f + 2480 - 722 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -27*u**2 + u - 4884. Determine f(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-4)\/4 + 326128\/17 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 times -1.135?\nAnswer: 0.082855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.9 + -4.9. Let i = -4129.11 + 4168. Let b = i - h. What is b rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224157677 to the power of 1\/2, to the nearest integer?\nAnswer: 14972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166266 and 270.\nAnswer: 831330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 47*w - 614. Give k(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 10 = s. Let a(p) be the first derivative of p**3\/3 + p**2\/2 + 3*p + 1. Is a(s) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011 (base 2) in base 6?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10048 and 80.\nAnswer: 50240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -3, -4\/5, -1119?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(38\/912).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-17)\/q**(-33)*q**(-39)*q\/q**8 assuming q is positive.\nAnswer: q**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2409, 4849, 7309, 9783, 12265, 14749, 17229?\nAnswer: 19699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22600315?\nAnswer: 5, 4520063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -65524, -65492, -65388, -65176, -64820, -64284, -63532?\n\"Answer: 6*j**3 - 10*j - 65520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7635*r - 7645*r = 10 + 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 take away -43?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.8988 decades in months?\nAnswer: 3827.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 71 = -2*g + 167, 2*d + 5*g - 253 = 0. Suppose -4*c - 2*t - 47 - 221 = 0, -d = 2*c - 4*t. Round c to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -19*z - 28. Suppose a - 3272 = -3*j, z = 2*a - 3*j + 755 - 7263. Round a to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 take away 4698.971?\nAnswer: -4666.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7\/98*4)\/((-24)\/21)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31332, 31237, 31142, 31047, 30952?\n\"Answer: -95*f + 31427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*w**2 + 4)*(-1 + 7 - 4 - 1 + 2 - 3 + (-2 + 3 + 1)*(-1 + 0 + 3) + 1 - 1 - 1 + 1 - 1 + 2).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 225610*t - 2544993605.\nAnswer: -5*(t + 22561)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 357.4 + -357. Sort -0.1, j, 2.7 in descending order.\nAnswer: 2.7, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 707 - 13?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -3 (c) 0.3 (d) 3\/2 (e) -1.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {n: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2344, -2372, -2412, -2470, -2552, -2664?\n\"Answer: -c**3 - 21*c - 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -4*p - 9107 - 1261. What is the greatest common divisor of p and 891?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.049 + -0.649. Let o = -10 + 13. Is o at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + sqrt(171) + sqrt(19)).\nAnswer: -20 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/2 - 27457*l**2 - 15766751*l\/2 - 564392400 = 0 for l.\nAnswer: -143, 55200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 18*w + 30*w**3 - 68*w + 32*w + 18*w - 78*w**3.\nAnswer: -46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 w when three letters picked without replacement from uudduwudddwwudduud.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*b + 25, 3*o - 4*b - 58 + 16 = 0. What is the least common multiple of o and 1\/(-3) + (-49)\/(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(396)*4.\nAnswer: 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 2, i: 5, x: 1, z: 2, j: 4, n: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -22117971\/67 and -330119 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.3 + -3. Let v = 0.7 - a. Let b = v + 3.6. What is the closest to 2 in b, -0.4, -1\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -64, -148, -266?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 16*b**3 + 2*b**4 + 0 - 2*b**3 - 6 - b + 12*b**3 + 19*b**3 to o + q*b + w*b**3 + f*b**4 + n*b**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 2*u**2 + 6*u**2 + 2*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q**2 - q + 2. Let k be z(-2). Let m be 4\/7 - (-8)\/k. Let c = 4 - 11. What is the smallest value in 5, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114779*x**5 + 91942*x?\nAnswer: -2295580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -24*x + 10. Suppose 13 = 4*w - 3. Solve -6 = -w*a - x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -678*q - 689*q - 682*q + 2021*q. Let a(g) = -10*g**2. Give z(a(j)).\nAnswer: 280*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100034840 and 4245.\nAnswer: 300104520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 (base 8) in base 11?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of (76\/5)\/(15\/1050) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, 394\/129, -1\/5, -1 in ascending order.\nAnswer: -1, -0.26, -1\/5, 394\/129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -69*o + 812. Let y be h(-31). Do 0.1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5984511 + 5984514.449599. Let z = k + -3.45. What is z rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1008 - 1006. Which is smaller: 5871 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37985 + 37990. Sort -13, 0, k, -0.3 in increasing order.\nAnswer: -13, -0.3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 185*q - 408*q + 217*q in the form g + a*q and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 114*z**3 - 2*z + 11*z**3.\nAnswer: 125*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (3\/21 - 171\/21))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 1. Suppose 5*t + 177 = 2*p, t - 483 = -3*p - g*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 6 - 2)*(t**3 + 3*t**3 + t - 3*t**3).\nAnswer: -17*t**3 - 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*i - 41*i + 82*i)*(3*i**2 - 5*i**2 - 8*i**2).\nAnswer: -940*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 13. Suppose s*o - 377 = 4*x - 3*x, 123 = o + x. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuh when four letters picked without replacement from huhsuuhhuuhhhuuhuuu.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -406.88 + 410.38. Let q = -7 - -6.7. What is the second biggest value in 1\/10, 4, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*((6*sqrt(242)*-1 + sqrt(242))**2 + ((sqrt(242) + 0 + sqrt(242))*-4)**2).\nAnswer: -107686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10689 - 5416?\nAnswer: -16105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:53 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 3)*(125*v - 7007 + 7007 - 2*v - 3 + 3 + (2 + v - 2)*(5 - 3 - 4)) in the form y*v + i and give y.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + v = -2*v + 310, 10 = 5*v. Is y a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:02 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 666429871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-0.8\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.1. Let y be (-30)\/(-7) - 4\/14. Let j = 16 + -18. What is the third biggest value in y, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1410 divided by -3\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-31 - (32 - 40)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*f**5 - 187*f**5 - 84*f**5 + (-2 + 3 + 1)*(3*f**4 - f**5 - 3*f**4).\nAnswer: -227*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*j. Sort 4\/5, 0, j, 4 in ascending order.\nAnswer: 0, 4\/5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:21 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - -3.3. Let m = -258 + 254. Which is the nearest to 3? (a) j (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/3 - 650*x**4\/3 - 88984*x**3\/3 - 1945376*x**2\/3 - 9666496*x\/3 + 27836704\/3 = 0.\nAnswer: -82, -14, 2, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 32. Let i be 7\/(-6)*s\/63. Factor i*o**2 + 8\/9 + 8\/9*o.\nAnswer: 2*(o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43395, 43456, 43547, 43674, 43843, 44060, 44331, 44662?\n\"Answer: j**3 + 9*j**2 + 27*j + 43358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2*j**2 + 2 - 2)*(-1 + 3 + 0)*(23*j**2 + 16*j**2 + 4*j**2).\nAnswer: -344*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0 - 5\/2*y**2 + 1\/3*y**3 + 2*y. Differentiate f(z) with respect to z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {w: 3, h: 1, y: 4, m: 4, f: 1}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -243, -447, -753, -1197, -1815, -2643, -3717?\nAnswer: -5073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 43*u**7\/210 - u**5\/5 + 5*u**4\/24 + 19*u**3 + 20*u**2 + 33. Find the second derivative of n(r) wrt r.\nAnswer: 516*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9)\/(f*f**(-6))*((f\/((f\/(f\/f**(-2))*f)\/f)*f*f)\/f*f)**(-8\/7) assuming f is positive.\nAnswer: f**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**5 - 2000*s**4 + 478*s?\nAnswer: 40*s**3 - 24000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659730073 to the nearest integer?\nAnswer: 25685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1391787, 1391803, 1391823, 1391847, 1391875, 1391907?\nAnswer: 1391943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 284 - 280. Suppose -5*p + 1177 = -k*i - 1565, 0 = -3*p - 5*i + 1660. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661*s - 3960 = -669*s. Let l = s - 341. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1 - 2 - 2 - 2*h. Let o be m(-3). Let g(r) = 2 - 4 + r**3 - 2*r**3 - o*r**2 + 3. Determine g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (13 - 4) - (0 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x - 1. Let u(v) be the second derivative of -v**4\/3 - v**3\/2 + 3*v**2\/2 + v. Let z be (-13)\/6 + (-10)\/(-60). Determine z*u(j) - 6*s(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32139 - -32140. Which is greater: 4049 or w?\nAnswer: 4049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f + 3*t - 1374 = 0, -5*f + 3*t = -2322. Is 42 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 1, z: 2}. Give prob of picking 2 z and 1 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-27))\/((-18676)\/(-5796))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2984739 (b) -0.01 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -22. Factor 4*m**2 + 279*m**3 - 276*m**3 - 4*m**p - 3*m**4.\nAnswer: -3*m**3*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:23 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 + -1 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 11*y**2 + 9*y - 4. Let q be b(-10). Let g(m) = m + 14. Let d be g(-11). Find the third derivative of -2*n**2 + n**6 - 3*n**q - d*n**2 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 12\/(-18) + (-7)\/(-15). Suppose 0 = 5*g - 5*z - 55, 0 = 3*g - 4*g - 2*z - 4. Suppose 4*l - g*l = 0. Which is bigger: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 42*z - 79. Give r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*x - 99*x + 565*x)*(x**2 + 0*x**2 + x**2)*(-2*x + 2*x + 3*x).\nAnswer: 3666*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 1. Let q(s) = 2*s**2 - 2*s + 2. Let g(h) = -q(h) - 3*w(h). Give g(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.297 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2182240 by 8.\nAnswer: 272780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 8. Suppose r + r - x - 7 = 0, -21 = -q*r - 5*x. Is r > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -32 (b) -3 (c) -20 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86825779.\nAnswer: 47, 1847357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/235 - 3\/47. Let g = 0.01 + 3.29. Let o = -0.3 + g. Which is the third biggest value? (a) o (b) m (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(405)*1 - sqrt(405) - (sqrt(405) - (sqrt(405)*-4 + -3)**2).\nAnswer: 243*sqrt(5) + 6489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 d when three letters picked without replacement from {a: 1, u: 7, l: 4, d: 6, b: 2}?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 547 + -542. Suppose 3*c = -5*r + 43124, -2*r - 4*c + 17243 = -q*c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 13, -7, 2, 5, 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 11098160?\nAnswer: -1\/1109816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(15)\/sqrt(5) - -2*-2*sqrt(3).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 31*d - 138 - 221 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576\/(-112) + 2\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28201524, 28201525, 28201526, 28201527, 28201528, 28201529?\nAnswer: 28201530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/19)\/((r*r**(2\/17)*r)\/(r*r\/(r*(r**(-3\/5)*r)\/r*r))))**(1\/11))**(-3\/5) assuming r is positive.\nAnswer: r**(738\/8075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z = 4. Let a be ((-156)\/18)\/((-8)\/36). Let m = -28 + a. Calculate the least common multiple of z and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + 0*g**3 + 4 + 0*g**3 - 2 - 12*g to y*g**2 + k + o*g**3 + q*g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (85\/(-30) + -3)*(-20)\/100?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o + 8. Let a = 31 - 75. Let s = -9 - a. What is the greatest common factor of o and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 - l**2 + 18*l - 328. Let d(w) = -9*w**3 + 2*w**2 - 39*w + 656. Give -6*d(u) - 13*i(u).\nAnswer: 2*u**3 + u**2 + 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 3*a**2 - 4*a**2 - 5*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5087949 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 6*c**2 + 18*c - 2. Let l be b(-8). Is 9\/6*(-193476)\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o**4 - 720*o**3 + 15306*o**2 - 14770*o + 3648 = 0.\nAnswer: 1\/2, 32, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37938\/65 bigger than 585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwbb when four letters picked without replacement from bxkkbxwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 96, 75, 40, -9?\n\"Answer: -7*t**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28316 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47108*o**6 - 21*o**2 - 3*o - 900?\nAnswer: 5652960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 7602579?\nAnswer: 7602579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -803\/183 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11*k + 28 = 0. Let u(z) = 127*z - 9. Is u(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -3*m + 20*t - 67, 2*m = 4*t + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -307868*g**2 - 3*g - 3206957.\nAnswer: -615736*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3 - 6*f + f**3 + f**3 + 5*f**3 wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2 + 1 + -2)*0. Let f be (-1)\/((m - 2)\/14). What is the second derivative of -16*s - f*s**5 - 3*s**5 - s wrt s?\nAnswer: -200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:42 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -72. Which is the nearest to 1\/2? (a) 2 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2542560 + 572560. Round y to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2191 divided by -7\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112541*t - 480931*t + 5252431*t.\nAnswer: 5884041*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2642360 and 6440.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*l + 48 = 0, 0 = -2*d - 3*d - 2*l + 51. Let a = -132 - -143. Is a at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -749.92 - -744.0177. Round q to 2 dps.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707 = 4*l + v, l = 5*l - 2*v - 722. Let a = l - 115. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47679697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*s**3 - 461*s**3 - 415*s**3 - 281*s**3.\nAnswer: -1328*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + -2. Let h = -0.186 + 0.486. What is the second biggest value in 3, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 + 24*v**4 - 69*v**3 + 84*v**2 - 36*v = 0. Calculate v.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58325699 is divided by 597.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**4\/24 + 7*b**3\/6 + b**2. Let t be d(-7). Suppose -a - a = t. Solve -2 = -i - a*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 13*a - 17. Let m be y(-8). Let x be 4 + -1 + m\/30. What is the nearest to x in -1\/5, 1, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*m - 26626 + 5890, -m = -o - 6912. Suppose -3*a + 27*a = m. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i**3 + i**2 + i + 1. What is p(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 41 - 2. Let f(c) = -c**2 - 14*c + 38. Let x be f(g). Let k = x - 15. What is the highest common factor of k and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.084, -15, -6\/5, 0, -0.2 in increasing order.\nAnswer: -15, -6\/5, -0.2, 0, 0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = 4*g - 2, -2*c - 5*g = -11. Let i(y) = 6*y**2 - y - 2. What is i(c)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 756*c**4 - 350*c**4 - 192*c**4 + (-2*c**2 + 1 - 1)*(-7 - 3*c**2 + 7).\nAnswer: 220*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -4*t**3\/3 + t**2\/2 + 2*t + 18. Let d(o) = -o**2 + 1. What is -6*d(c) + 2*f(c)?\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45247*t**3*w**3 - 2*t**3*w**2 + 23*t**3*w + 23*t*w + 27 wrt w.\nAnswer: 271482*t**3*w - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20592 divided by 22?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69404 + 69532.166. Let z = 258 + -130. Let k = q - z. What is k rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.4 and -168016 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 + 232 + 79 + 4*a to the form w*a + d and give d.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 7 + (-25 - 4) + 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 5*j)*(17 - 17 + 6*j**2)*(j**2 - 5*j**2 + 7*j**2).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288116\/133)\/(-68) + 33?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/12 + x**3\/3 - x**2\/2 - 3*x. Let u be (-6 - -4)\/((-4)\/2). What is the lowest common multiple of f(u) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.0061, -15, 3\/4, -2\/15?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -108*w - 415. Give a(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131736 and 1320.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 o when four letters picked without replacement from zgzzoobbtbtzoiz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, r: 2}. Give prob of sequence rhh.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141692533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -eb22 (base 16) to base 9\nAnswer: -101512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -5*i + 184. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13778.4587 to the nearest 100.\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-9)*18\/4. Let s(p) = 2*p**2 - 4*p - 7. Let l(h) = -2*h**2 + 4*h + 6. Let i(r) = j*s(r) - 7*l(r). What is i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.5 - -0.9. Let l = o - -4. What is the biggest value in -2\/13, 1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173318990?\nAnswer: 2, 5, 13, 59, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/16, -1\/5, 6, -4, -5.\nAnswer: -5, -4, -5\/16, -1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 659 divide 595772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0313 - 9.8713. Let c = u - 0.16. Let p = -9.99995 - c. What is p rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1129820?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - 2*k**5)*(-9 + 32 + 9).\nAnswer: -64*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q*s**3 - 44*q - s**3 - 15*s**2 + 2 wrt s?\nAnswer: -6*q*s**2 - 3*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.252843454 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-16 - (8 + -21)) + -16).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + (-3 - (1 - 5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25477 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48932000 rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 + 4*g - 1. Let l(z) = z - 1. Give -j(k) + 4*l(k).\nAnswer: k**3 + 5*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4546.2952 - 4548. Let d = 1.7 + r. Round d to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/8)\/((-2)\/(-8)). What is the remainder when -26*((-6)\/8 + 7\/28) is divided by (u + 4 + -2)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280018 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.123? (a) -5 (b) -1\/5 (c) -2\/125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -914762\/33 + 27665. Let z = 55 + a. Suppose 8 - 6 = -2*u. Is z less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**3 - 1420*w**2 - 2855*w - 1430 = 0.\nAnswer: -1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106514773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 160*k**2 + 23*k + 1840. Let a be f(-80). Solve -2*n = 3*n, a = -2*h - 5*n + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020000772125 rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-22088)\/(-24))\/(1 - -5). Let i = -299\/2 + z. Calculate the common denominator of i and (-4)\/(-10) + (-47)\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + (sqrt(228) - -2*sqrt(228)*-3))*6)\/(sqrt(384)\/(-2*sqrt(8))) + -2)*-6.\nAnswer: -144*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-315)\/28)*9\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdm when three letters picked without replacement from {e: 1, m: 1, n: 1, d: 9}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 53. Let t be ((-4)\/17)\/((-14)\/u). Is 1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 857 = -338. Let d = j + -102. Let a = d - 69. Solve 11 = -z + 6*z + 2*s, 2 = 2*z + a*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -5*d**4\/12 + 10*d**3\/3 + 33*d**2\/2 - 9*d. Let s(n) = -n**2 + 5*n + 8. Let v(q) = 2*p(q) - 9*s(q). Give v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373071688 to the power of 1\/2, to the nearest integer?\nAnswer: 58078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, 2\/9, 0.935, 4\/121, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 5:40 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57434308 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 575461.3nm in kilometers?\nAnswer: 0.0000005754613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-40)*(-2700)\/(-225))\/(3\/(-34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 256879637*z**2 - 1161468326*z wrt z.\nAnswer: 513759274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-4 + 4 - 2)*(-4 + 3 - 3*f + 0).\nAnswer: 12*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17402292\/389 + 44736. Let n = a - 34765\/4668. What is the common denominator of 934\/120 - (-60)\/450 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2.31 (c) -0.21 (d) -0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 238, 1\/11, 0, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d*d**(-6))\/d*d)**(-15)\/(d**(4\/5)\/d)**40 assuming d is positive.\nAnswer: d**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17063 + 17218. Solve 6*u + r = 173 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 2*r**3 + 2*r**3)*(-3*r + 3*r + 2*r)*(-30 - 5*r + 55 - 35).\nAnswer: 10*r**5 + 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) 2\/7 (c) 2\/4529\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 - (-19 - -37))\/((-6)\/(-9)). Let l(y) = -y + 1. Let q(d) = 68*d - 3. What is t*l(w) + q(w)?\nAnswer: 65*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59483*j**2 + 18403*j**2 + 122*j**2.\nAnswer: 78008*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7445353 is divided by 32944.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 28. Suppose -y + 2 = 0, 10 = -t + 2*t + 4*y. Calculate the highest common factor of x and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5425*p**4 + 249*p**4 - 136*p**3 + 136*p**3 + 0*p**4 + p**4 + 0*p**4 + (p**2 + p**3 - p**2)*(-4*p + 3*p + 2*p).\nAnswer: 5676*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 16*s**2 - 5*s - 2. Let n be ((-6)\/(-1))\/1*(-16)\/(-48). Suppose -4*u + n*k = 6 + 4, k + 7 = -4*u. Does 18 divide x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 272\/96 - 1\/(-6). Solve -2*m = -7*m - 2*w + 5, y*m - 3 = 3*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*m = -1940 - 4288 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4975 (c) 224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 185?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3 + 468*w**2 - 27390*w + 52924 = 0.\nAnswer: 2, 101, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 45 - 365 = 0. Let r be (-1029)\/70*(-175)\/42. Let s = c + r. Calculate the common denominator of 11\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264 (base 9) to base 11\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l + 1\/6*l**3 - 2*l**2 + 0 + 5\/24*l**4. What is the first derivative of n(j) wrt j?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24480 + 88444. What are the prime factors of z?\nAnswer: 2, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/98*(-3)\/(108\/(-42))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 7\/6*z**3 + 0 - 29*z - 7\/2*z**2. Let q be n(1). Solve q = y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1 + -3 - (sqrt(5) + sqrt(80) + sqrt(5))*6) + sqrt(25)\/(-1*sqrt(500)))**2.\nAnswer: 702*sqrt(5)\/5 + 123281\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20794534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + 4 + 4*w + 1 - 3*w + 2*w**3 as y*w**3 + o*w + m + b*w**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1987*a = -1995*a + 66568. List the prime factors of a.\nAnswer: 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3837492 = 207*p + 19*p + 42*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005794376828 rounded to seven decimal places?\nAnswer: 0.0000579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/43 - 33735\/327015*78?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.1. Sort 0.1, 0, j in descending order.\nAnswer: 0.1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 8*d - 50. Calculate the highest common divisor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 41*n + 4205*n**3 - 4206*n**3 - 35*n - 2 + 0*n**2 as d*n + v*n**3 + o + h*n**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112))**2 - sqrt(21)\/sqrt(3)*1) + -5.\nAnswer: -sqrt(7) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**3\/3 + 31*q. Let j(u) = -2*u - 69. Give n(j(s)).\nAnswer: 4*s + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 206*q + 10609.\nAnswer: (q - 103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 3404.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 10 (b) 5\/4 (c) -0.1 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/74)\/4*(82\/369)\/(12\/54)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 - 297. What is the second smallest value in -0.2, -2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 - 20.6. Let f = 36 + -16.4. Let u = x + f. Round u to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6720 and -19\/2016.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6534 - 0?\nAnswer: -6534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107.8 - -108. Let r(a) = a**2 + 10*a + 28. Let z be r(-6). What is the second biggest value in -6, z, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6\/3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 - 350.299665.\nAnswer: -347.899665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2) - -3)*6. Let y be (3\/(q\/3))\/(-5). Sort y, 5, 0.3.\nAnswer: y, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/6 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and ((-1)\/(-4)*(-8)\/(-6))\/((-383)\/(-112602))?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 30*g**2 - 217*g + 62. What is i(5)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1161, 4577, 10259, 18207, 28421?\nAnswer: 40901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.64999 days in microseconds?\nAnswer: 5153759136000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-315))\/(28\/70)*(-18)\/(-1).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 7048617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)*z)\/(z\/z**1))\/((z*z*(z**(2\/5)*z)\/z)\/z**(-3\/4)) assuming z is positive.\nAnswer: z**(-341\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2758314 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185\/3 - 123\/2. Let m(c) be the third derivative of 0*c + v*c**3 - 9*c**2 + 0*c**4 + 0 + 0*c**5 - 1\/20*c**6. Differentiate m(o) with respect to o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b**2 + 1 + b**2 + 2 - 2*b - 2 = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199*s**3 + 461*s**2 wrt s.\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 32. List the prime factors of v + (-1*2 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b - 5738 - 5587 + 11689 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 5\/2)*-10. Let j = -220 - -224. Is j != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r. Let p = 44 - 17. Suppose c = 4*k - 15, -5*k = -0*k - 4*c - p. Let l(q) = k*q - 4*q + 0*q. Calculate l(b(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 277. Let z(k) = -73*k + 315. Let y be z(-17). Suppose 55*x - y - 149 = 0. What is the remainder when d is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -53 (b) 4\/7 (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2*r)**(-23)\/(r**2*r*r*r**(-2\/3)*r))**(-37))**(2\/7) assuming r is positive.\nAnswer: r**(16280\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.8 + -5.837. Let x = w + 5.037. Let m = 300 - 300.3. What is the closest to -6\/11 in 0.3, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -22*l**3 + 14*l**2 + 20*l + 6. Let i be z(-1). Solve -2*n + 12*g - 8*g + i = 0, n - 16 = 3*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + (-1 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1274433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10836 - -0.042881.\nAnswer: 10836.042881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 3537771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.03, -1\/4, 6, -1\/323 in descending order.\nAnswer: 6, 5, -1\/323, -0.03, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -21 + 204. Let s = f + -97. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 200212211002020?\nAnswer: 200212211002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 529 (base 16) to base 13\nAnswer: 7a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 100*l - 40. Let d(w) = 3*w - 48. Let y be d(18). List the prime factors of m(y).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215 - 3255040?\nAnswer: -3254522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2028, -1988, -1920, -1824, -1700?\n\"Answer: 14*g**2 - 2*g - 2040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 m when four letters picked without replacement from {m: 3, k: 15}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 1. Suppose 2*f - 11 = f + 3*a, 5*f = -2*a + 123. Suppose -8*u + f = -25. Suppose 8*q = u*q + 2. What is s(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 364966\nAnswer: -3\/364966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(30)\/sqrt(3))*-2.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = 2*j - 65. Let p = -15 - -28. Put j, 1, p, -5 in ascending order.\nAnswer: -5, 1, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000499804 rounded to 6 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47591, 47461, 47105, 46409, 45259, 43541?\n\"Answer: -19*a**3 + a**2 + 47609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -760 + -2047?\nAnswer: -3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 = 318*i - 2520 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -330038 - -839137. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -102.99999937. What is r rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 56*v - 7. Let u(q) = -67*q + 9. Let p(b) = 6*t(b) + 5*u(b). Suppose -23 + 3 = 5*j. What is p(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1.097936 millimeters?\nAnswer: 0.1097936","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 780*d**2 - 777*d**2 + d**4 - 6 to s*d + n*d**3 + c*d**4 + f + v*d**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 b when three letters picked without replacement from {g: 1, j: 6, n: 5, b: 7}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 1. Let j(l) = -l**2 - 9*l - 1. Let d be j(-9). Calculate x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(1092\/5)\/(-91).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 15*m = 21. What is the second derivative of 5*x - 25*x**5 + 4*x + 14*x**5 + m*x**5 wrt x?\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7021 + 28083\/4. Which is bigger: 218.8 or o?\nAnswer: 218.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)\/h**(1\/15))\/(h**(-2)\/(h\/(((((h\/(h*h**1)*h)\/h)\/h*h)\/h)\/h*h))) assuming h is positive.\nAnswer: h**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3 + 94*k**2 + 832*k - 6760 = 0.\nAnswer: -26, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 3 = 3*h - 5*i, -4*h - 37 = 5*i. Let j = h + 13. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u + 5*w = 21, -5*u + 5*w - 15 = 0. Suppose -u*b = b - 15. Calculate the greatest common factor of b and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -6*b**2 - 11\/60*b**5 + 0*b + 0*b**4 - 1\/24*b**6 + 0 + 0*b**3. Find the third derivative of y(a) wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506 a factor of 118961952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42b2 (base 12) in base 11?\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddkd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590751746 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34261, 68504, 102777, 137098, 171485, 205956?\n\"Answer: 3*w**3 - 3*w**2 + 34231*w + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -75.7. Which is the smallest value? (a) 1\/2 (b) 0.4 (c) z (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 19*k + 450438*k**2 - 9*k - 4*k.\nAnswer: 450438*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-2)\/5)\/(56\/35))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 + 0.4. Let b = -2 + j. Let u = -0.4349 - -0.1349. What is the nearest to 3 in -3, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173\/58 or 0.227?\nAnswer: -173\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + c**2 - c + 1. Let h be o(1). Let i = 53 + -52.9. What is the nearest to h in 5, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*z - 70434 = -72522 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**4 - 7056805*o**3 - 3450323*o**2 - 3.\nAnswer: 72*o - 42340830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.88413 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -767, -965, -1171, -1385, -1607, -1837?\nAnswer: -2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.031213649.\nAnswer: 0.031213649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132)*1*-1*4)\/(sqrt(1452) + -3*sqrt(1452) - -1*sqrt(1200)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.944494 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 31*j**3 - 38*j**2 + 17*j + 5. Let a(m) = -11*m**3 + 13*m**2 - 6*m - 2. Let v(i) = 17*a(i) + 6*d(i). Calculate v(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -24*u**3 - 179*u**2 - 11*u - 31. Let c(p) = 13*p**3 + 90*p**2 + 6*p + 16. Calculate -11*c(x) - 6*k(x).\nAnswer: x**3 + 84*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 14 + 21 = -n, 0 = -m + 5*n + 43. Is 34 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*y - 17701 - 12193 = 0, 4*y - 17919 = -3*u. Let x(i) = 3508*i**3 + 1. Let c be x(-1). Let k = u + c. What is k rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1006*z**6 - 6*z**5 + 11112*z**2 + 3?\nAnswer: -120720*z**3 - 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 6. Let d = -2 - j. Let p = -0.3 - 0.2. Which is the nearest to d? (a) p (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -4.5\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -188636 and 38.373813.\nAnswer: -188597.626187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 4*v - 16. Calculate the remainder when 7 is divided by b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 36*h**2 + 54*h - 3362. Let q be s(37). Let w(k) = 2*k - 9. Let v be w(6). Solve -v*f + 0*f = -q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 6c7?\nAnswer: -6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 21.879.\nAnswer: -306.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 2)*(33 - 36 + q**2 + 0*q - 2*q) + (4 + 1 - 6)*(-q**2 - 2 + 2) to the form i*q**2 + o*q + m and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 13 + -52 - (13 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-3)\/w))**(-47)*(w*w**(-1\/18)\/w)\/w*w**(19\/5)*w assuming w is positive.\nAnswer: w**(-20813\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/(11\/(-297)). Let g = q - -11. Suppose 2*w + 3*r = 17, 0 = -2*w + 5*r - 9 + 2. Solve -w*u - g = -6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 + 105*y - 105*y - 2*y**3)*(-1 + 0 - 1)*(y + y + y).\nAnswer: -12*y**5 + 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 141420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -30*w + 6. Suppose -3*m - 16 = -5*m. What is the remainder when 21\/((-1)\/(w\/(-2 - 1))) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2. Let a(j) = -1746*j**2. Give h(a(v)).\nAnswer: 6097032*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 121355773939163 + 0.3\nAnswer: 121355773939163.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 24 = -5*v. Let z = 23 + v. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -745, -11, 0, 7, -6.\nAnswer: -745, -11, -6, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((80\/165)\/16)\/(((-76)\/(-19))\/(-288))\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (2 + (5 + -9 - 3)). Sort -4, t, -625 in descending order.\nAnswer: t, -4, -625","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 + 8*j**2 + 10*j**2)*(35*j**2 + 24*j**2 - 32*j**2).\nAnswer: 648*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*r**3 - 334320*r + 210962093.\nAnswer: -165*r**2 - 334320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 5*d**2 - 9*d + 7. Let t = 19 + -11. Is k(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081*f**3 - 18*f**2 + 2162*f**3 - 1079*f**3.\nAnswer: 2*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = p - 737, -8*p + 6*p - 1116 = 3*m. Let s be (-6 - m\/25)\/((-1)\/(-10)). Is 87 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 5*o - 6. Let d be j(-6). Suppose -5*u = -2*s + 65, u + d*u = 1. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 527 - -2) + (144 - 142) is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3172*t + 30 = -3168*t, -4*t = 3*v + 5 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Let h(r) = 16*r + 98. Let f be h(-6). Let t(j) = -j + 1. Let x be t(-1). Let u(b) = -6*b**f + 24*b**x - 4*b**2. Calculate o(u(m)).\nAnswer: -392*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4, -4*i = 4*g + i + 290. Let u = g + 83. Which is the closest to 2? (a) u (b) 1\/2 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2138 + 22*m - 1639 - 499.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*c = -26594 + 30530 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/7)*q**21\/q*q assuming q is positive.\nAnswer: q**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*q + 61*q = -14090. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 524*f - 95. Is j(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 8. Let s = 5.6 - 5.7. Sort s, -4, -3\/2, l in decreasing order.\nAnswer: s, -3\/2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 2*d + 2. Let f(c) = -c**2 + c. Let t(b) = -5*f(b) + s(b). Let r be t(3). What is the remainder when 16 is divided by (-6)\/9 + r\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -243*s - 566. Let y(b) = 78*b + 189. Let h(n) = 3*x(n) + 8*y(n). Differentiate h(w) wrt w.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (3589\/(-22) - -1). Let j = 329\/2 + h. What is the common denominator of -10\/9 and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11479.\nAnswer: 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3906 + -3889. Let t(q) = 5 - 23*q**3 + 17*q**2 - 14 + 17*q - 3. Let a(v) = 8*v**3 - 6*v**2 - 6*v + 4. Give i*a(x) + 6*t(x).\nAnswer: -2*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 4. Let a be c(-5). Let q be 4 - 2\/(a - -1). Suppose 5*h - 20 = 2*v, h + v = -q*h + 29. Solve 3*g + h = 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -a + 51, d - a = 4*d + 74. Which is greater: -97\/4 or d?\nAnswer: -97\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3347*i**2 + 41*i - 21. Let g(h) = 1672*h**2 - 20*h + 11. Let z(w) = -11*g(w) - 6*n(w). Is z(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, y: 5, h: 3, q: 1}. Give prob of picking 1 h, 1 r, and 1 y.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iklsiikiliiks. What is prob of sequence liis?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - (-19 - -21)) - (0 - -18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 230?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 308*d - 301*d + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*o = 18*o + 10304 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/21, -0.265, 0.4, -2\/17, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 1, x: 11, m: 2, f: 3}. Give prob of sequence zmm.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 4\/1 - -7. Suppose -d = 6*y - 9. What is the units digit of (9 - (-3 + 3))*y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-1 + 1 - 2*r)*(27*r + 52*r - 24*r).\nAnswer: -220*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w - 3235 = 14123. Let s = -513 - w. Solve m = 4*q + s, -4*m - 24 = 2*q + q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 13*y**2 - 32*y - 46. What is the remainder when w(-14) is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**7\/210 + q**5\/20 + q**4\/12 - 35*q**2\/2 + 19*q. Let o(x) be the first derivative of u(x). Let o(p) = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z + 182 = 41*z. Let j be -3 - z\/21 - (-2)\/(-6). Let f be 2\/8*(-7)\/(21\/j). Solve 5*h - 5*n + 3*n = -11, -n = 2*h - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94.51 - -94. Let h = 18.368 + -19. Let w = h - x. What is w rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let s = 19 - 25. Let b be r(s). Suppose 28 = 2*g - t - 3*t, 0 = -b*g + 4*t + 100. Is 0.2 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261867929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.46814 + 3259.8?\nAnswer: 3111.33186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42e + -1?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*y + 5, 5*y + 5 = 2*l. Suppose l = -5*c + i + 570, -5*i + 2*i = 2*c - 245. Suppose 17*d = 22*d - c. Which is greater: d or 22?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - 6*(sqrt(204) - sqrt(204)*3))\/(sqrt(36)\/(sqrt(36)\/sqrt(12))).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 27. Let y be m(12). Sort y, 1, 2 in descending order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l, -19*k + 17*k - 5*l = -533. Suppose k*o = 260*o + 132. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*m + 3, -5*h - 5*m + 37455 = 0. Let q = -690 + h. Round q to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22398902 divided by 1?\nAnswer: 22398902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.49007 - 27.8.\nAnswer: -29.29007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 5*y - 5. Let f(g) = 4*g + 99. Let p be f(-26). Suppose 0*o = -o - 10. Let b = o - p. Let s(j) = -j**2 + 2*j + 2. Determine b*s(x) - 2*d(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011636 to four dps.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -23*d + 120. Calculate the least common multiple of 5 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-3\/8)*f*(f*(f*f\/(f**13*f))\/f*f)\/f)**(-2\/43))**18)**34 assuming f is positive.\nAnswer: f**(11781\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a day in hours?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -9 + 20 + -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -5, 0, 12 in increasing order.\nAnswer: -5, 0, 5\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8416 + 0*u + 0*u - 7634 - 2*u**3 to a*u + z*u**3 + g*u**2 + y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + m. Let g be 2*20\/(-8)*-1. Suppose 4 = -2*f - 0*f, -a + 11 = -g*f. Let n be d(a). Calculate the greatest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 31 + -5 - (2 + -3 - 0)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-111*c + 303*c - 1213*c).\nAnswer: -3063*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 102712, 102711, 102722, 102751, 102804, 102887, 103006, 103167?\n\"Answer: j**3 - 8*j + 102719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3661 - -22117\/6. Calculate the common denominator of -2 + 1 - 1\/3 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -504*l*m**2 + 66424489*l + 21090*m**2 wrt m.\nAnswer: -1008*l*m + 42180*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/52 (b) 1\/4 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -1.7. Let i = 23 - 18. What is the nearest to m in i, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.5, -714246?\nAnswer: -714246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 20*m - 3. Let w(q) = -5*q + 1. Let c(p) = 9*w(p) + 2*y(p). Is 22 a factor of c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 43 - 1. Is (-940)\/p - 6\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 + -95 + 15 + -4 - -19\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 5*s - 161. Does 10 divide (s\/6)\/(1\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:21 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**3 - m**3 + 3*m**3)*(-41 - 17 + 7)*((1 - 5 + 1)*(11 + 15 + 3) + 1 - 2 + 3).\nAnswer: -17340*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, n: 4, y: 2, m: 2, e: 2, i: 1}. What is prob of sequence meyi?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/15 and 16\/5 + 56\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-10)\/(-5) + 1. What is the greatest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 + -1)\/(-11 - -12). Let v = y - -15. Sort -4, 5, v.\nAnswer: -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-430)\/(-4) + ((-9)\/6 - -2). Let v be 20\/(-6)*(-25)\/(750\/m). Suppose -3*k + 2370 = v*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31362 divided by -503\nAnswer: -31362\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-28)*-20)\/((-2)\/(-14)). What is the lowest common multiple of -3 - (141\/(-15) + x\/25) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.12 + -0.22. Let z = r + -4.9. Suppose 4*h = 3*h - 2. Which is the third smallest value? (a) h (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 1, k: 2, n: 1, o: 4}. Give prob of sequence wnog.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -211514331 at most -211514333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/11)*r*r\/r**(-2\/5)*r)**(-5\/6) assuming r is positive.\nAnswer: r**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 4704?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15254 + -15254. Let n(z) be the first derivative of w*z - 37 + 23\/2*z**2 - 34\/3*z**3. What is the second derivative of n(l) wrt l?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300145167 divided by 965097\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*o - 2392 = -477*o + 1047*o for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c - 2\/5*c**3 + 0 - 352\/5*c**2.\nAnswer: -2*c**2*(c + 176)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27282703 - 27282703 + 53*o.\nAnswer: 53*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-39)\/52 + (-141)\/60 and -67\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 3280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-60))\/(7\/105) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26435, -29129, -31821, -34511, -37199, -39885, -42569?\nAnswer: -45251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79901*c + 47 + 42 - 17151*c + 38 - 127)*(-4*c**3 - 2*c**3 + 4*c**3) as b*c**4 + w*c**3 + t + j*c + x*c**2 and give b.\nAnswer: 194104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*g = 405*g + 18683 + 7708 + 17853 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47571158.\nAnswer: 2, 43, 553153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 210*q**2 + 980*q + 2760 = 0. What is q?\nAnswer: -46, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 49. Let c = 1\/53 - -49\/212. Factor c + 3\/4*u**g - u.\nAnswer: (u - 1)*(3*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 11*i**2 - 9*i + 12. Let t be l(-9). Let o = 122 + t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*w - 39*w - 2*w + 2 to the form s + g*w and give g.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 158\/(-13) - (-16)\/104. Is (-40)\/(-12)*y\/(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -25. Let t = y - -45. Find the second derivative of -21*z**2 + 5 - 9*z - t + 34*z**2 wrt z.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106942326?\nAnswer: 2, 3, 223, 257, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10323188\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 - 4*g**2 + 36*g - 13. Is i(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/24 and 47\/4634916.\nAnswer: 9269832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 30. Let o be l(8). Let r be 1\/(o + 150\/24). Solve r*j = -j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 88.923. Let x = u + -0.923. Which is the closest to x? (a) -3 (b) 16 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgsggmmgssg. Give prob of picking 2 s and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**7\/4620 - x**6\/1980 - x**5\/110 + 4*x**3 - 20*x. Let i(r) be the second derivative of c(r). Factor i(h).\nAnswer: 2*h*(h - 3)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1102 + 1?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 - -141. What is the remainder when 172 is divided by w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a**4*o + a**3*o + 180*a*o wrt a?\nAnswer: -120*a**2*o + 6*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1023? (a) 1\/6 (b) 0.1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.40707393 + 1.42290577. Let k = -1.83 + t. Round k to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/3)\/(4\/(-18)). Suppose 5*a = w*a - 3. Solve 0 = -0*r + 5*r - 4*v - 15, a = r - 4*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115784*x**4 - 2*x**2 - 8*x + 5358 wrt x?\nAnswer: -2778816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*h + 2, 2*v + 2*v - 13*h + 2 = -11*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*a - 45 = a, -g - 4 = -22*a + 21*a + 15 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(-1*sqrt(6)) + (sqrt(30)\/(sqrt(10)*2 - sqrt(10)))**2 - (5*(sqrt(3) + -1 - sqrt(3)) - (1 + 2*sqrt(3) - sqrt(3))))*4 + -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6731 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 203*q**2 + 1586*q - 4961. What is x(195)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*z - 15. Let a be (-2 - 3) + 2 - 7\/(-1). Suppose -5*m + 14 = 4*q, 0 = a*m - 2*q - 1 - 5. Solve m*g = -z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 10*u - 15. Suppose -4*z = -2*z - 22. Let t be v(z). Let d(c) = -16*c - 3. Is 23 a factor of d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2348*h + 2350*h + 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 296, 0.5, -0.3, -5 in descending order.\nAnswer: 296, 0.5, 1\/4, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (53 - 61) + (1 - -1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-11 - -4) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*v + 5*v = -2112562 + 2112451, g + 0*g + 3*v = -111 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b - 14 + 1 + 13.\nAnswer: -25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*m + m**3 - 3*m**3 + 3*m**3 + m**2 + 28*m**4 + 102*m - 192*m in the form a*m**4 + u + s*m**3 + i*m + j*m**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15804 + 15799. Let s(o) = o**2 + o + 1. Let d(c) = -11*c**3 - 5*c**2 - 5*c - 5. Give q*s(r) - d(r).\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 382 - 302 = 0. Suppose -37 = 5*i - f. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = -2*v. Let g(l) = -4*l - l + v + l + 3*l**2. Give g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -3*l**5\/5 + l**4\/12 - l**2\/2 - l. What is the tens digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -48*x - 252 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.2005 meters in kilometers?\nAnswer: 0.6212005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6916 or -6719?\nAnswer: -6719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnnncnxcxxnxxx. Give prob of sequence nx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1021001201 (base 3) to base 6\nAnswer: 310544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 6) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 7 = 183 + 26 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 13*p - 11. Let j(v) = 17*v + 36 + 24*v - 42*v. Calculate the lowest common multiple of j(9) and i(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/41569 and -79\/15116.\nAnswer: 166276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -3 (c) -5 (d) 9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {v: 3, i: 4, a: 6, d: 2, y: 1, l: 4}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -509\/116 - 25\/29. Find the common denominator of b and -55\/174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 51. Let s(z) = -3*z - 204. What is -15*i(d) - 4*s(d)?\nAnswer: -3*d + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/68371385?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {i: 6, v: 3, c: 1, a: 1, g: 2, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(30\/8)*90\/320. Put h, -2, 0.4 in descending order.\nAnswer: 0.4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 118, 186, 258, 334, 414?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r - 30*r - 4 - 8.\nAnswer: 2*r - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.38958976 * 0.3\nAnswer: -0.116876928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**4\/12 - 79*u**3\/6 - 431*u**2. Let y(k) = -7*k. Give y(r(m)).\nAnswer: 14*m + 553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. Suppose -h*c + 17 = -3*w, 0*c - 4*w = -4*c + 32. Suppose -4*u = -c*u - 6. Sort 5, 4, u in decreasing order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z**5\/5 - 649848*z**4\/5 - 433154*z**3\/5 + 2527188*z**2\/5 + 1732904*z\/5 + 288816\/5 = 0. Calculate z.\nAnswer: -36102, -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 + -113\/2. Let d = -12 + 11. What is the second biggest value in d, i, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1490 or -1488?\nAnswer: -1488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2758481 and -0.2.\nAnswer: 0.05516962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -636.1 + 635. Which is smaller: 230 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -2\/11, -0.3, -6.36?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h**2 + 9*h - 4. Let i be u(2). Let z be ((-48)\/i)\/((-2)\/45). Let c = -26 - z. Solve c = -3*a + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*l*u**2 + 63836*l*u - 22683*u**3 wrt u.\nAnswer: -16*l - 136098*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 380*m + 176*m + 2*m**3 - 620*m + 435*m - 2*m**2 to x*m + i*m**3 + t + n*m**2 and give x.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3239014 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 - ((-26)\/(-143) + 158\/(-22)). Which is the fifth biggest value? (a) -9 (b) -7 (c) p (d) -0.8 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326419.\nAnswer: 191, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 2463?\nAnswer: 2462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 divided by 9053?\nAnswer: 304\/9053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2210 and 10200.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (13 + 10)) + 0 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - -15686030.9?\nAnswer: 15685987.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**3\/3 + 11*t**2\/2 + 3*t. Let l(y) = -y + 6. Let s(f) = -7*l(f) + 4*x(f). What is the first derivative of s(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4175693?\nAnswer: 17, 245629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/15 and -79\/495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14776359?\nAnswer: 3, 13, 41, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 1028*p**2 + 15938*p + 27. Determine s(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fih when three letters picked without replacement from {h: 1, p: 1, i: 2, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-6) + 34\/(-51). Let x(i) = i**3 - 4*i**2 + 4*i + 3. Let z(q) = -q**3 + 3*q**2 - 3*q - 3. Give u*z(b) + 3*x(b).\nAnswer: -b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 8*d**2 - 5*d + 1. What is u(7)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816*d**2 + 404*d**2 - 44*d**3 + 21*d**3 + 412*d**2 - 4*d**3.\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6313113 millilitres to litres.\nAnswer: 0.0006313113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3)*1*-3 + sqrt(6)\/sqrt(32)).\nAnswer: 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**6\/210 - g**4\/42 + g**2\/14 + 23*g. Factor z(j).\nAnswer: (j - 1)**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/60 + s**4\/12 - s**3\/3 - s**2. Let y be h(-4). Suppose 0 = -2*u - y + 12. Solve 5*r = 2*r - u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 816 and 0 + 5 - (-508)\/4?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 10 - (-840)\/90\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 3:22 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -15286 < -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24)*-1)\/sqrt(8) + sqrt(3)*-1*1)*4)**2 + -3.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = 2*f. Suppose 42 = f*a - 6*a. Suppose 2*s - 43 = a. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 4*z + 1104, -4*z - 1500 = 4*r. Let m = r - -128. Let f = -146 - m. Does 33 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 326379 and 435172?\nAnswer: 1305516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 58. Let b be d(-12). What is the highest common factor of 198 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 20*k**2 - 19*k - 6. Let q be j(19). List the prime factors of ((-3)\/q)\/((-1)\/(-174) - 0).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 6593*s**3 + 13207*s**3 - 6586*s**3 - s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 7*w - 2*w - 11, -5*w + 10 = 0. Let f be 255\/25 + p\/(-5). Is (-3 - f)*(-5 - 0) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w + 3*w - 4*w)*(-w**2 + w**2 - 3*w**2) + 3*w - 3*w + w**3 + 0*w**2 + 0*w**2 - 4*w**3 - w**2 + w**3 + w**2)*(-2*w**2 + w**2 + 2*w**2).\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57695 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - n + 1412 = 0, -4*h - n = 2073 - 7709. Suppose 3*c + 3*t = 1056, 3*c - 4*t - h = -c. Calculate the greatest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -394227861.0006 + 394285036. Let p = t - 57183. Let g = p + 8. What is g rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2223013 - 3?\nAnswer: 2223010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a*a*a**(-8\/3)*(a**(-1))**(-44))**(4\/21) assuming a is positive.\nAnswer: a**(604\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7304488, 14608977, 21913466, 29217955?\nAnswer: 36522444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 + 2268*h + 327267\/2.\nAnswer: -3*(h - 1581)*(h + 69)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 + u**5\/15 - 2*u**4\/3 - 3*u**3 - 33*u**2. Calculate the smallest common multiple of 10 and b(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 2*o - 7. Suppose -4*w = -2*t + 5*t - 11, -w + 14 = -3*t. What are the prime factors of l(w)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*b**2*g**3 - 5*b**2*g + 31*b**2 + 10*b*g**5 + 6*b*g**3 + 28*b*g**2 wrt g.\nAnswer: 156*b**2 + 600*b*g**2 + 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(8)\/sqrt(4) + 5 + 1)*-4.\nAnswer: -24 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, t: 8}. What is prob of sequence tt?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 3*d**4\/2 - 2*d**3\/3 + 17*d**2 - 12*d - 2. List the prime factors of l(4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {s: 1, f: 1, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2967 and 3870.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -22*l**4 + 106*l**3 - 1712*l**2 + 8316*l - 10560. Let k(p) = -2*p**4 + p**2 - p + 2. Let d(r) = 20*k(r) - 2*s(r). Factor d(z).\nAnswer: 4*(z - 23)**2*(z - 5)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = -2*l - 3*c, 28 = -4*l + 5*c. Is (-2)\/(l\/892*4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Suppose -4 = k*u + u. Let n = u - 1. Sort 2, -3, n.\nAnswer: -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 23*k + 22*k + 22*k - 68*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 2*g**2 - g**2 + g**3)*(-1 + 2 + 0)*(21 - 21 - 13*g)*(54*g + 11*g - 11*g).\nAnswer: -702*g**5 - 702*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 9*b**2 + 3. Let z = -3 + 12. Let a be f(z). Suppose a*i + 3*r - 288 = 2*r, 4*i = -4*r + 392. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 107 - 1872*z**2 + 1871*z**2 + (7 - 4*z - 7)*(-1 + 1 - 2*z) to the form h + t*z + x*z**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, d: 18}. Give prob of picking 3 d and 1 e.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o - o**3 + (2 + 1 + 3)*(-4*o**3 + 5*o**3 - 2*o**3) + 3*o**3 + 0*o**3 - 2*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -885916, 1\/6, -2?\nAnswer: -885916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38518100507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1101111?\nAnswer: -1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 1 + 8. Let t be 0\/(m\/((-14)\/(-4))). Is t greater than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1167426155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0 (c) 2\/37 (d) 13 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235 + 226 + 232 - 693 + 4449*l.\nAnswer: 4449*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -4*b + 13 - 10, -4*b - 37 = 5*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22482 by 671.\nAnswer: -22482\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 greater than or equal to 1.581227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/3*1 - -24. Suppose 3*r = 7 - n. Is r != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, a: 2, p: 1, e: 1, u: 1, g: 1}. Give prob of sequence apje.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3526371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Put -8765, 0, 6625 in descending order.\nAnswer: 6625, 0, -8765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7507757016?\nAnswer: 2, 3, 2803, 37201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19366 is divided by 152.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -34. Let y = s - -62. Suppose 35*f - 31*f = y. Solve n + f = 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 470256, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 424104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-29 + 52 + -15) - -60.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 962 divide 55943186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 + 373 = 30*j. Let c(a) = 6*a - 3. What is the remainder when j is divided by c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29311 divided by 72.\nAnswer: -29311\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 2*z + 1. Let i(t) = -1 + 8*t - 2*t**2 + 2 - 3*t. Let j(o) = 3*i(o) - 5*y(o). Determine j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 11:36 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/3 + 8174*k**4\/3 - 5570580*k**3 + 11130264*k**2.\nAnswer: -k**2*(k - 4086)**2*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 580 + -327. Let i = f - 150. Let b = i - 102.99921. What is b rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a. Let n(v) = 6*v**2 - 3*v + 77. What is -n(b) + 4*o(b)?\nAnswer: -2*b**2 - b - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -6*h**5 - 508*h**4 + 34628*h**3 + 1981696*h**2 + 1293826*h - 652740 = 0.\nAnswer: -110, -43, -1, 1\/3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 5) to base 2\nAnswer: -1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3 = 2*b, 0*m - 2*m - 1 = 3*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1415 - 1413 + 22*t**2 + 28*t - 1412 + 4238 to the form u*t + i + c*t**2 and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(3\/2))**(6\/5) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/14)\/((-195)\/910)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:24 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 2 + (2*sqrt(33))\/sqrt(3) + -2 + sqrt(99) + -2).\nAnswer: -3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*a**5*u**2 - 206*a**4*u**3 - 2*a**2*u**2 - 3081*a**2*u + a*u + u**3 wrt a.\nAnswer: -3660*a**2*u**2 - 4944*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/(-4)*120\/1140?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 2.2, -0.02, 3 in decreasing order.\nAnswer: 3, 2.2, -0.02, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j - 1. Let b be k(-1). Suppose -b*p + 6*p + 4 = 0. Suppose 65 = p*a + 5*n, -3*a + 3*n + 11 + 58 = 0. Solve -2*z + a = -7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 8*c**2 + 4 - 7*c**3 + 0*c**2 + 8*c**2 as x*c**2 + w*c + p + a*c**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35020 (base 9) to base 13.\nAnswer: a81b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-236))\/((-326)\/1304) - 3302\/59\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1 - (76 - -2)) + -193497 + 193500\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, n: 1, u: 2, z: 2}. Give prob of sequence nu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 1. Let c(l) = -l**3 + 5*l**2 + 5*l + 10. Let u be c(6). Suppose 0 = -3*s + 2*b - 11, s - u = -4*b + 11. What is m(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/54 + 2*f**3\/27 - 2*f. Factor q(n).\nAnswer: 2*n*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 86*h - 1 + 1.\nAnswer: 86*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 + -2) - (-6 + 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1842 + 91*a**3 - 1842 + 618*a**3.\nAnswer: 709*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 3092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 2\/19 (c) -2\/5 (d) -2 (e) -604\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Suppose -2*u - 56 - 94 = 0. Let k be 5\/(u\/36) - -2. Which is greater: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3\/4 - 6813*t**2\/4 - 137307*t\/4 - 350523\/4 = 0.\nAnswer: -17, -3, 2291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.74 times -3.75\nAnswer: 2.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, t: 7}. What is prob of picking 3 t?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**3 + 9*x**2 + 11*x + 5. Let u be v(-8). Let a = u - 7. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11 and -31772809630.\nAnswer: -31772809629.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46.30564cm?\nAnswer: 0.4630564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5764 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44399 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 - 27 = -4*v, -4*v + 20 = -2*u. Solve -v*n + 2 = 4*y, 1 + 3 = -n - 3*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by 1.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39558 and 35967.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -51 - (0 + 0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*r = -85246, 5*n - r = 178479 - 36386. What are the prime factors of n?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 15720*l**2 - 1207895*l - 2478630.\nAnswer: 5*(l - 77)*(l + 2)*(l + 3219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*m**5\/5 + 5982*m**4\/5 - 43038*m**3\/5 - 286782*m**2\/5 - 47244*m + 236016\/5 = 0. What is m?\nAnswer: -149, -3, -2, 4\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**(-2\/29)*q**11\/q*q**0*q)**(-28) assuming q is positive.\nAnswer: q**(-8946\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59605 is divided by 2631.\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138092 and 5662.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*14\/(-3). Let a(u) = -u. What is a(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -41. Suppose 12*s = z*s. Suppose s = -2*j + 90 + 2. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2546 - 2543. Solve -3*d + 14 = 4*a + 3, -5*d + a = -l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1034 - 1142) + (-1 - 2 - 4) + -5.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786619744.26012 plus 0.4?\nAnswer: 2786619744.66012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 166, 113, 60, 7?\n\"Answer: -53*d + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1354 by -67.\nAnswer: -1354\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Let s = -2 + x. Differentiate 0*i**2 - 2 - i**2 + 3*i**2 + i**s wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30113203100 (base 4) in base 16?\nAnswer: -3178d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-2)\/(-10) - 42\/(-90). Let j = -16.68 - 0.32. Which is the second biggest value? (a) g (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 1 - (-13)\/((-1326)\/(-420)). Which is the nearest to -2\/5? (a) -2\/9 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8.06. Let z = 0.062 - s. What is z rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66 + 2*g**2 + 48*g - 119*g + 55*g.\nAnswer: 2*(g - 11)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2100222210101 (base 3) to base 4\nAnswer: -10303200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19999 - 19994. Solve a - 3*o + 7 = 0, 4*a + 8 = 7*o - t*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 548 = 3*u, -5*u + 1086 - 188 = -b. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -2\/9 (b) 2444 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h - 0, 3*m - 23 = 4*h. Let f = -4 + 4.4. Let u = f - 2.4. Which is the closest to -2? (a) u (b) 2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 262339 - 759?\nAnswer: 261690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, -4 in decreasing order.\nAnswer: -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61a80 (base 14) to base 2.\nAnswer: 111001011100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123347252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1852, 0.21, 3, 4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 9. Let a be d(-14). Let z = -7 + a. Suppose -4*h = 7*h - z. Solve -3 = -o - h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 10*n - 159 + 159.\nAnswer: 2*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 6*q - 7. Let o be x(-5). Suppose -5*g + 2 = -o. What is the second derivative of 3*w - g*w**2 - 3*w + 4*w**2 - 2*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-5))\/(32\/(-80)). Suppose -x*l - 2 = -4*l. Calculate the highest common divisor of 18 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -17. Let v = p - -29. Let c be v - (1 + 3) - -2. Let k(y) = y**3 - y**2 - y + 1. Calculate k(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2818852 - -9?\nAnswer: 2818861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*x + 45, -2*f + 22*x = 20*x - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 102506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 4. Let x = 7 + m. Find w such that w**3 + 6*w**2 + x*w + w**3 + 0 + 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*12\/(-15))\/((-2)\/(-5)). Let z = 0.1 + -0.2. Let d = -0.2 - z. Which is the nearest to d? (a) p (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5334006?\nAnswer: 2, 3, 889001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-33)*(-187)\/(-34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*i + 3600 = 0, -4*i - 1088 - 682 = -2*j. Let n = j + -699. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.63 - -1897995116?\nAnswer: 1897994983.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 290357026*i**2*u - 931293*u - 71 with respect to i.\nAnswer: 580714052*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.7 - 4.2. Let f = -15 + p. Let z = f - -6. What is the smallest value in z, -0.1, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7005*g - 7009*g = -8. Let s be 5\/(50\/(-32)) + 3. Which is the second smallest value? (a) g (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 3. Let y be l(-3). Let s be 29\/(-9) - 2\/(-9). Let t = y + s. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g**2 - g + 1. Let f be q(2). What is the units digit of f*((-165)\/90 + (-6)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111203 - 30560 = -977*y - 3596*y for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*a - 25 = -l, 2*l + a - 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 851742 and 216?\nAnswer: 3406968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (695*d - 2295*d + 816*d)*(0 + d + 0).\nAnswer: -784*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:38 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 600713129 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: Sort -2\/47, 5, -0.1, 406 in decreasing order.\nAnswer: 406, 5, -2\/47, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoouoooooou. What is prob of picking 2 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16150 + 16557. What is the greatest common divisor of 121 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -x - 2, x = -3*d - 2*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164189352 to the nearest integer?\nAnswer: 12814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 3)*(3 - 1). Let x(c) = 934 + c**p - 92*c + 192*c - 100*c. Is x(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284.673ug in kilograms?\nAnswer: 0.000003284673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(19) + -1 + (3*sqrt(2299))**2)*1.\nAnswer: sqrt(19) + 20686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*p - 5*p + 10 = 0, 4 = p. Factor u*d**2 - 4\/5 - 6\/5*d.\nAnswer: 2*(d - 1)*(5*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3906 divide 84026862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*p - 5*p - 51 = 0, 0 = w + p + 12. Let z = w + 4. Let o = 325 + -322. Which is the closest to 4? (a) -1 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awaa when four letters picked without replacement from {s: 2, w: 2, a: 3, g: 6, f: 4}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 751441669 to the power of 1\/3, to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**6\/10 + 3*f**3\/2 - 41*f**2 - 6*f - 2. Differentiate c(k) wrt k.\nAnswer: 12*k**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-128))\/((-78)\/16).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Suppose z + 3*f + 1 = -3, 0 = b*z + 5*f + 20. Let n(w) = -w**3 - 6*w**2 - 7*w - 5. What is n(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n**4 + 19716*n**3 + 92272*n**2 + 140736*n + 70400 = 0. Calculate n.\nAnswer: -2, -4\/3, 1100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 192242753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6*(-9)\/2. Let q be b + 3 + (2 + -1 - -11). Solve v - 10 + q = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 6*y - 3*y - 3*y - 1129 + 1129.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114630 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -17. Sort 2, 4, l.\nAnswer: l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 7*k + 12*k + 28, 3*q + k - 2 = 0. Let h be 4\/14 + (-52)\/(-14). Solve -3*a + 2*o = 4 + q, 0 = -h*a - 4*o - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822666 is divided by 364532.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-25)*100\/4. Solve -3 = -n*y - 4*j, -3*y = 2*y - 5*j - 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 + 16833*d - 16830 = 0. What is d?\nAnswer: 1, 5610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11376745?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (112\/(-35) - 0)\/(10\/(-175)). Calculate the greatest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-884 + 7)*78*((-3)\/(-6) - 1) a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.4322596 plus -0.001266?\nAnswer: 170.4309936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4428 * -1.2\nAnswer: -0.53136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 9}. Give prob of sequence lyl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4*s**2 + s + 1. Let x be w(0). Let z(u) = -x - u - 70*u**2 + 61*u**2 + 0 - u. What is z(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + l - 55, 3*z + 2*z + 130 = -5*l. Let p = z + 27. Solve 5*c = 15, 5*a + c - 2*c + 28 = p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*t - 10*t + 3855, t + 3*l - 975 = 0. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*p + 24*p + 8*p - 15)*(0 + 1 - 2)*(8*p - 7*p + 3*p).\nAnswer: -36*p**2 + 60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 3*x**2 + x**2. Let b(o) = 1163 + 1178 - 2341 - 12*o. Determine b(k(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-189)\/350) - 12\/2. Which is the third smallest value? (a) t (b) 1\/7 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 934 = 5*p + 361, -3*f - 2*p + 977 = 0. Let a = f + -124. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4584 and -89.\nAnswer: 407976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2624.3 + 2645. Which is bigger: c or 0.22?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 19. Calculate the smallest common multiple of 10 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (5 - 3)) + 3. Let m be 18\/(-54) - x\/(3\/(-110)). Let j = 47 + m. Solve 0 = 5*s - j*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -269 and -2.2?\nAnswer: 591.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2714912 and 4.\nAnswer: 2714912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:28 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 51*q**2 + 350*q + 20. What is p(-8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-15) - ((-19)\/6 + 3). Let r = -61 + 307\/5. What is the nearest to s in -5, r, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.8 + 40. What is the closest to a in 5, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/9 and -64\/4119.\nAnswer: 12357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5 - 25. Suppose g*b - o + 2343999 = 0, -306428 - 279569 = b - 3*o. Round b to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 537319\/23 or 23361?\nAnswer: 537319\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1144 - 310. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + 13*t + 7. Let c be k(7). Suppose c = -b - b + 6. Let a(d) = b - 1 + 2 - 2 + 2*d + d**2. Give a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/9 (c) 1\/64 (d) -0.1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*z + 131*z + 3980 = 0. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*b - 27 + 10, -r = b + 4. Let m be -2416*(-1)\/b*(-3)\/2. Let c = m + -419. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i - 4. Let p be b(-3). Suppose -w + p + 20 = 0. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22562491 divided by -33229?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1022\/63 + 2\/(-9). Suppose 2 = -7*o + i. Solve -3 - 7 = o*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - n = 4*t + 9, 2*t - 3*n - 6 = 0. Let c be (2\/t)\/(3\/18). Suppose 0 = -0*p + 4*p - 48. Solve c*u + p = -4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 198027.6965 and -1.7.\nAnswer: 198025.9965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2176144 by -25304.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 279*a**2 - 9*a + 127. Is k(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twelve fifths of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164943, 329882, 494821, 659760, 824699, 989638?\nAnswer: 1154577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241 - s**4 + 374*s**2 - 183*s**2 + 237 - 187*s**2 with respect to s.\nAnswer: -4*s**3 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 5, -0.2, -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*b + 187*b + 2*f - 6 = 0, -2 = -b + 7*f - 36 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 139495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33077*c**5 + 2599*c + 2?\nAnswer: 661540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 10 - 21 - 12 + 20*v + 16.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5)*5)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 1. Let f be z(-1). Suppose 18268*a = 18133*a. Solve f*i = 2*h + 8, a*i - 4*h = i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -v + 3*c - 69, v = -3*c + 9. What is the remainder when 74 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**7\/630 - 13*w**6\/360 + 19*w**5\/180 + 11*w**4\/24 - 1972*w**2. Factor n(u).\nAnswer: u*(u - 11)*(u - 3)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(13) + 3 - (sqrt(13) + -3 + -3))*-6 + (-5*sqrt(468)*1)**2 + sqrt(52)\/(sqrt(16) + sqrt(4)) + 4.\nAnswer: -35*sqrt(13)\/3 + 11650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 389*j**2 - 484*j - 27. What is the ten thousands digit of c(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*z = 98, 3*p + 4*z + z = 308. Let s = -110 + p. Let j = 0 + -2. Sort j, s, 2.\nAnswer: s, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2682650 divided by 53653.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 8:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -16\/17*u**2 - 2\/17 - 18\/17*u = 0.\nAnswer: -1, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1415 - 390. Let l = q - 1025.18. Let c(b) = b**3 - 6*b**2 + 5. Let t be c(6). Put -2, l, 3, t in increasing order.\nAnswer: -2, l, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + n. Suppose -6 = -2*w + 2*o + 8, 37 = 5*w - 4*o. Let i = -11 + w. What is s(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*m + 23, 4*x + 3 = m - 1. Let v be m\/(-24) + 56\/(-150). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1301, -2877, -4703, -6779?\nAnswer: -9105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/51*(-13 - 4\/2). Suppose -5*q = -5*c - x, 5*q + 5*c + 14 = -11. What are the prime factors of ((-1616)\/8)\/(1 + q)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/43, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8046*t**5 + 476*t**3 + 62282766*t**2 - 3?\nAnswer: 482760*t**2 + 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 8. Let g be (-4)\/(-14) + 153\/(-21). Calculate q(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109854 and 97648.\nAnswer: 878832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -2237165?\nAnswer: 2237165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 54 (b) 95 (c) 19 (d) -0.4 (e) 4 (f) 0 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23279143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 8*o + 7. Let g be b(7). Suppose a = -g*a. Suppose 4*q - 5*d = 30, 0 = -5*q - 503*d + 498*d + 15. Is q >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-1\/17)))**(2\/3) assuming b is positive.\nAnswer: b**(-2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k\/(k**(1\/5)*k*k))**(-22) assuming k is positive.\nAnswer: k**(1122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 5 - -7 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750*-750.\nAnswer: -562500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6*(-12)\/(-90)) + 2. Let p = -1.5 + 1. Let x = p - 2.5. Which is the nearest to g? (a) x (b) 0.3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58\/(-8) + 8)\/((-18)\/16)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -41744 + -27972\nAnswer: -69716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -126094.3479 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 5 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + t = 7, -5*t + 27 = -1127*s + 1130*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7104, 8003, 10448, 15213, 23072, 34799?\nAnswer: 51168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0.05 (c) 0.1 (d) -0.19 (e) -26 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, -47, -73, -105, -143?\n\"Answer: -3*k**2 - 11*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 791.3\nAnswer: -79.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Let t(k) = -k. Let w be t(-3). Solve w*n = 5*v + f - 23, 4*v = -2*n - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 643\/3 in 0, 0.3, 1\/5, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 13*i**3\/3 - 75*i**2\/2 - 104*i. What is the derivative of z(m) wrt m?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 214 - -123. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -28. Let z(k) = 1. Let m(t) = -t + 7. Let p(s) = d*z(s) - 3*m(s). Let u(f) = -5*f + f + 5*f. Calculate p(u(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at most 1083\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2884?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6) + 2\/(-6). Suppose -3*w - 3*j + 3 = 0, -w - 2*j - 3 + q = 0. Solve 6 = -2*t - w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 15*q**2 - 34*q + 243. Give r(16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-18)\/4)*(-4)\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 185*f - 1628. Let w be a(9). Solve 28 = -3*j + w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-1\/4)*f)\/f)\/f**(2\/13))\/(f**(3\/2)\/f**(1\/4)))**40 assuming f is positive.\nAnswer: f**(-340\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = 10*k + 193*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/52 and 77\/152?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -45.5879.\nAnswer: -22.79395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2048682 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5148137837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((1 - 1) + 7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j - 5*y - 2, 5*y = -10. Let g(i) be the first derivative of 1\/6*i**3 - 9\/20*i**j - 7\/16*i**4 + 0*i**2 + 0*i + 5. Let g(s) = 0. What is s?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13101 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.54534 to one dp.\nAnswer: -268.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 1, -1, -3, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7698, -16203, -24708, -33213, -41718?\nAnswer: -50223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 22 = 0. Let s(t) = t**3 + 8*t**2 - 10*t - 7. Let o be s(-9). Let y be (-5 + h)*1\/o. Solve -11 = y*n - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*q + 83*q = -14476. Which is smaller: 228 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -10, 81?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1058*o - 20098. Give u(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*g - 427 + 78, 3*g + 5*c = 189. Suppose 68*n = 116*n - 37536. Calculate the greatest common factor of n and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 19*x + 10*x - 28*x - 2*q, -2*x = -5*q - 1 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/5)\/(4\/(-10)). Suppose q = 3*c + 2, -4*q + 3*c - 7*c = -8. Suppose p - 3 = -4*r + q*r, 0 = -3*r + 4*p + 21. Solve -j - 1 = r*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39 + 41 + 50 - 2*q**3 - 28 + 2*q**2 wrt q?\nAnswer: -6*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 + 9*j**2 + 7*j - 1. Let n(g) = -g**3 + g**2 - 1. Let f(o) = -h(o) + 4*n(o). What is f(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t - 0. Suppose -2*h + 4*i - 10 = 0, -3*h = 3*i - 1 - 2. Does 26 divide h + -2 + (t - -53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (2\/6)\/((-34)\/(-2448))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.49 - 0.00561.\nAnswer: 0.48439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182296*d*l**3 + d*l**2 + 534*d*l - 4*d wrt l.\nAnswer: -1093776*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 296, 2327, 7766, 18293, 35588, 61331?\n\"Answer: 280*b**3 + 24*b**2 - b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5344207504?\nAnswer: 2, 23, 139, 191, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**5 + 8*j**4 + 2390*j**3 - 7196*j**2 - 715200*j + 1440000 = 0.\nAnswer: -24, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 5597298.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -52?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = 2269 + 2834. Let i = q - -245. Solve -g = -0 - i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-6512133.\nAnswer: 651213.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(432) + -5)*5 + -2)**2.\nAnswer: -5040*sqrt(3) + 12564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 5 + 0*n**2 + n**2 - 6*n**2 to the form r + y*n + l*n**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5390 and 2456300.\nAnswer: 17194100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 2, b: 8, h: 2}. Give prob of sequence uu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17303763, -17303762, -17303761, -17303760, -17303759, -17303758?\nAnswer: -17303757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 531 and 590.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212 or -0.45?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9\/32 (b) 1 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -231*q + 227*q. Let o = -2 + 3. What is the lowest common multiple of (-6)\/(2 + o + -5) and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose -g = -n - 2. Suppose 4*d = -g + 16. Sort d, -3, -1 in decreasing order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - (7 + -13 + -33287) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q. Let g(t) = -69920706*t. Calculate f(g(i)).\nAnswer: -209762118*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 504 = 404 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3328 and 1428636721?\nAnswer: 1428640049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 30*s. Let x(n) = -2*n**2 - 7. Give i(x(a)).\nAnswer: -60*a**2 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 3*r**5\/10 - r**4\/12 - 30*r**2 - 77*r + 101. Let k(y) be the first derivative of a(y). Differentiate k(c) with respect to c.\nAnswer: 18*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) - (-770)\/33. What is the third derivative of 7 - 4 + 12*l**4 - 3 - t*l**2 wrt l?\nAnswer: 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28\/10 - 2 - 4924\/(-20) is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 228936661?\nAnswer: 2\/228936661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417824?\nAnswer: 2, 11, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a meter in millimeters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-88)\/6)\/((-124)\/(-93) + -1 + -1). Solve q = -3, -q = g + y - 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-599 - 647 - 729)*(-4*t + 2*t + 3*t).\nAnswer: 1975*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -20*n**3 + 858*n**2 - 838*n = 0.\nAnswer: 0, 1, 419\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11724 by -10.\nAnswer: -5862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**3 + 10*q**2. Let d(i) = 13*i**3 + 20*i**2. Let u(w) = 6*d(w) - 14*y(w). Find the third derivative of u(c) wrt c.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(425)*-2 - ((sqrt(17)*-1 - sqrt(17))*3 - sqrt(17)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -729*p + 2136*p - 1177*p + 2351*p + 2670*p as c*p + f and give c.\nAnswer: 5251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -6*p - 46, 7*p - 180 = -2*s - 230 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a minute in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1981 and 137255?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/173 (b) 0.3 (c) -2\/27 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/30 - 5*v**4\/24 - v**3 - 4*v**2. Let i = 61 + -40. Calculate the remainder when i is divided by o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {j: 1, v: 2, n: 7, s: 4, c: 6}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 99476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3864756 and 1001217.\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*u = -213, -2871*b + 2*u - 3113 = 261*b - 134*b + 6029 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(112\/280).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 2*z + 44 = 0, -v + z - 22 + 19 = -2*v - 9*v - 45 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2 + (-22)\/(-18). Let w be 9\/3*(-2)\/2. Let m = 16.5 - 16.4. What is the closest to m in w, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/3, 2.2473, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91440798.999939 + -91440839. Let j = i + 40. Round j to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4 - 13*w - w**2 - 2 + 0*w**2. Let c be l(-12). What is the greatest common divisor of 24 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**2 + 4*o + 4. Let j = -9 - -5. Let c(d) be the first derivative of d**3\/3 + d**2\/2 + d + 1. What is j*c(h) + v(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 4. Let c be n(-4). Suppose 198 = -2*q - h - c*h, -4*h - 99 = q. Let b be (-1)\/(-3)*q\/(-22). Is b equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*l**2*m**2*u - 22*l**2*m*u - 2*l**2*m + l**2*u + 3*l + 39*m**2*u + 4*m**2 - 19 wrt m?\nAnswer: 24*l**2*u + 78*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/25 + 235\/25 + -4. Which is the closest to 0.1? (a) 0.4 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 23*w + 31*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77b29 + 1ba?\nAnswer: 78127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*b + 4*y, 0 = -3*b - 3*y - 1 - 5. Solve -b*r = -6, 36*p - 41*p - 14 = -2*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*m + 10, -3*c - 8*m + 4*m = 2. Solve 2*o - 10 = -4*y, c*o - 5 = -3*y + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqqq when four letters picked without replacement from {q: 5, l: 7}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 + 13*o + 11. Is z(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/4 (b) 0.041 (c) 1 (d) -8\/411 (e) -0.05 (f) 2\/5 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1244 or 1248?\nAnswer: 1244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y - 3*y + 3*y + (2 - 1 + 1)*(y - y - 2*y) - 4 + 4 + y + (-4*y + 2*y - 2*y)*(3 + 1 - 2)*(1 - 1 - 10) in the form w + b*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45764\/4711 + (-4)\/(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 843234.4 millennia?\nAnswer: 84323440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03032471024 rounded to five dps?\nAnswer: -0.03032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from waawzwwwwaiwawiiwa.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 81 + 73 = 0. Let l(h) = -h**3 + 8*h**2 - 6*h - 5. Let n be l(7). Let j(b) = b**2 - 2*b**2 + 0*b**n - 2*b. What is j(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -5*n + 408. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.1 + 19.1. Which is the nearest to -1\/2? (a) 0.03 (b) u (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -0.3 (c) -21\/8 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 32*c**3 - 27*c**3 + 2*c**3.\nAnswer: -53*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2012790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(-2 + 5\/2). Suppose 0 = n*q - q. Suppose 3*h - 34 - 53 = 0. Solve 4*x = -q*s - 2*s + 6, -4*x - h = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 375.695 + -5.595. Let v = 370 - a. What is the closest to v in 55\/3, 4\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 701 + -700. What is the nearest to -1\/3 in -27, z, -5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70443480 divided by -5870290.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606537 to the power of 1\/2, to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {d: 18, f: 2}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 211927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/184)\/(3\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebqqebeeqbqbebebeee. Give prob of sequence qqe.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - t - 400. Calculate the highest common factor of t and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*d**2 + 246*d**2 - 26*d**2 + 17*d**2.\nAnswer: 538*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15657 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9687 + -6752. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12984746 + -0.4?\nAnswer: 12984745.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*z + z - 2*z**4 + z**2 - 6 + z**4 as s + g*z**3 + w*z + n*z**2 + j*z**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5695, 5668, 5589, 5428, 5155?\nAnswer: 4740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1784638, -1784658, -1784690, -1784734?\nAnswer: -1784790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246 - 208) + 2 + -25.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*u = 20, -4*x - 4*u = -9*u + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**3*l**2 - 4*k**3*l + 43407*k**3 + 649393*k**2*l**2 + k*l**2 + 3*l**2 wrt k?\nAnswer: -42*l**2 - 24*l + 260442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3303 (base 10) to base 4.\nAnswer: 303213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9083 - 0.0917. Suppose 5*x + 4*i + 16 + 19 = 0, 4*i + 23 = -x. Let g = -5.8 - -0.8. What is the closest to 1 in x, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.5 times 19404?\nAnswer: -1600830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + 14*i**2 - i - 5. Let d be q(-7). Suppose 5*o = d*o + 6. Let c(f) = 565 - 573 + o*f - 3*f. Calculate c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61129*g**3*y**2 + 6*g**2*y**2 - 71*g - 22*y**2 wrt g.\nAnswer: -366774*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4860*z + 3. Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0777 - 0.3197. What is v rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104172?\nAnswer: 2, 3, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 28 = -7*x, 1 = w + x + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20356 - -20356. Let g = 14 - 13. What is the second biggest value in g, r, -0.3, -0.07?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+-13732\nAnswer: -13728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 5*c**2 - 5*c**2. Let a(d) = d**2 - 4*d. Let x(j) = -3*j**2 + 11*j. Let g(h) = 11*a(h) + 4*x(h). Determine o(g(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6 - 1 - 4*f**2 - 5*f - f**2 - f**3. Suppose -4*r - 11 - 9 = 0. Is m(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8707011.\nAnswer: 3, 97, 29921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*1\/5 - (-9)\/(-18). Suppose -7 + 1 = -6*o. Which is the closest to q? (a) 3 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -73*s + 1. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 24 + b + 27. Let w be f(0). Suppose 5*m + 40 = w*k + 5, -5*k = m - 49. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(2\/5))\/t**(-1\/3)*t**(-1\/5)*t\/(t*t**6*t) assuming t is positive.\nAnswer: t**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88870623 - 0.4.\nAnswer: 88870622.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**3\/3 - q**2\/2 - 2. Suppose -s - 1 + 0 = 0. Let d(x) = 3*x**2 + 8*x - 1. Let f(l) = s*d(l) - 4*n(l). Determine f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77497815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5496515984 to the power of 1\/3, to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1905, 206, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 26 - (4 + -13 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24200 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 5*v - 5*v)*(3 - 1 - 1)*(5*v - 8*v - 10*v).\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 3. Let k(n) = 9*n + 3. Give -3*k(z) + 15*s(z).\nAnswer: 3*z + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2390422 and 59.171.\nAnswer: 2390481.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 113 = 65 - 96 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*k**6 + 34*k**5 + 137690*k**2 wrt k.\nAnswer: -2640*k**3 + 2040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1590 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t + 338 = 149 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 38*c + 231 = 894 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhnmmh. What is prob of sequence hf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9698.47 nanoseconds?\nAnswer: 0.00000969847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = 0, -3*j - 3*p + 6 = -j. Let q = 67 - 49. Let r be 1\/2 + q\/12. Solve 0 = -4*m - 3*w + 1, j*m + r*w = 3*m - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -335.139 + 333.8. Let p = 0.089 + v. Let q = p + 1.24867. Round q to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-540)\/900*((-44)\/12 + -3). Solve 5*t + 3 = 3*k, 2 + 2 = -x*k + 4*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 40?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -5*m - 5, -5*s + 1631 = -2*m + 1657 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11416.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbbbblxqxbxxbabbab. Give prob of sequence xb.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662415873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 8007524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -1\/3*h**4 + 19*h - 1\/6*h**3 + 0 - 1\/2*h**2. Determine w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u**4 - 8*u**4 + 2*u**4)*(1 - 1 - 10).\nAnswer: 160*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137308097 to the nearest integer?\nAnswer: 11718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -157*g - 9511 + 16105 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-9) + 16\/3 + -5. Sort f, 7, -2 in decreasing order.\nAnswer: 7, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 - 1987*d**2\/3 + 5968*d\/3 - 3980\/3.\nAnswer: -(d - 2)*(d - 1)*(d + 1990)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1541 - 45 = -11*a. Let f = a - -144. Solve 1 = o, 5*u + f = o - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*y = -122 - 88. Solve q + 5*z + 21 = y, -q - z = 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/48*-2*16. Let a = 171 + t. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvvv when four letters picked without replacement from gvvgv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(2057))**2.\nAnswer: 132*sqrt(17) + 8237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 71*d**2 - 69*d + 23. What is the units digit of b(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + -7 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 428830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718411 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1759, 6332, 16391, 34678, 63935, 106904?\nAnswer: 166327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -90, 0, 3 in decreasing order.\nAnswer: 3, 2, 0, -2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1986 - -2050. What is the highest common factor of n and 408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**5 + 2*x**5 - 7*x**5)*(45 - 87 - 29).\nAnswer: 142*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 21*y**3\/2 - 4260105*y**2\/4 - 3955851*y\/4 + 76074 = 0.\nAnswer: -1, 1\/14, 101432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6788 + 10433. Factor 14253*w**5 + 1080*w**3 - 14248*w**5 - a*w - 17*w**2 - 2413*w**2 - 130*w**4.\nAnswer: 5*w*(w - 9)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*y - 2*y + 46, 0 = 4*p - 3*y + 60. Is 9 a factor of p\/4*156\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/37 + (-213690)\/(-3145) is divided by 48?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + (-2*sqrt(63))\/sqrt(9) + sqrt(56)\/(sqrt(56)\/sqrt(7)))*-5)**2 + -1.\nAnswer: 7200*sqrt(7) + 20699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 4:27 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -184, -183, -184, -187, -192, -199, -208?\n\"Answer: -j**2 + 4*j - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*w + 11483, -2*z + 60*w - 64*w + 11486 = 0. What are the prime factors of z?\nAnswer: 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5285 and 16.\nAnswer: 84560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 23*o**2 + 67*o - 690. What are the prime factors of a(-35)?\nAnswer: 2, 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*x + 1\/5*x**2 - 6\/5.\nAnswer: (x - 2)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14732, 14705, 14672, 14639, 14612, 14597?\n\"Answer: w**3 - 9*w**2 - 7*w + 14747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.417227 rounded to the nearest 10?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:26 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11431 - 445300?\nAnswer: -433425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94807080 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 1. What is t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 6*m + 7. Let l be s(8). Let c(r) = 328*r - 1. Let u be c(l). Let f = u - -17659\/6. What is the common denominator of f and -1\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -5\/211, 9.5?\nAnswer: -5\/211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 10. Let f be t(-1). Let y = 3487\/17 + -205. What is the closest to 2\/3 in y, f, -2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-20))\/((-4)\/10). Suppose -544 = -n*k - k. Let t = k - 57. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*a + 23, x - 3*a + a + 24 = 0. Let h = 98 + -48. Let t = h + x. What is the remainder when t is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 - -306. Suppose d + 2*d = 5*b + 121, -2*b + x = 2*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*a - 1 - 14 = 0, 2*a = 2. Let p = -8 - -11. Suppose -p*d + 12 = -0*c + c, -2*d - 4*c = -8. What is the lowest common multiple of w and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7524*z + 173043. Calculate t(23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(3 - 1))\/(3\/(-69)). Suppose 0 = -2*b - 2*b - 3*q + 26, 3*q = -3*b + 21. What is the second derivative of 21*j - 16*j + c*j + 25*j**b wrt j?\nAnswer: 500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272710 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66164480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 109387*d + 875099. Calculate p(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 = -4*j, 0 = -4*j - 84*z + 79*z + 31. Solve 2*n - 16 = j*q, 2*q - 8 = n + 4*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.92 + -0.52. Sort -2\/3, n, -13\/9 in descending order.\nAnswer: n, -2\/3, -13\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - -22. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 387 + -374. Let n = 1359.63 - 1347. Let s = p - n. Is 2 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r + 4 - 8 = 28*r + 6, 21*r - 17*r + 32 = -4*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x**(-7)*x)))\/x**(-7)*x**(2\/13)\/x**(-7) assuming x is positive.\nAnswer: x**(93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*r + 23 + 3, -3*l - 3*r + 54 = 0. Let c(g) = -5*g**2 - 5*g - 1. Let h be c(7). Let j = 435 + h. What is the greatest common divisor of l and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}